Finite Group Databasebeta

← #28293036

Subgroups — #28293036

Order 13568.

7254 conjugacy classes of subgroups.

The subgroup lattice has 2688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289300C214yesmaximal, complemented
2#20289298C214yesmaximal, complemented
3#20289186C211yesmaximal, characteristic, complemented
4#20289175C212yesmaximal, complemented
5#20289089C211yesmaximal, characteristic, complemented
6#20289084C212yesmaximal, complemented
7#20289081C211yesmaximal, characteristic, complemented
8#20289037C212yesmaximal, complemented
9#20289028C214yesmaximal, complemented
10#20289027C212yesmaximal, complemented
11#20288722C211yesmaximal, characteristic, complemented
12#20288720C212yesmaximal, complemented
13#20288718C211yesmaximal, characteristic, complemented
14#20288677C211yesmaximal, characteristic, complemented
15#20288675C211yesmaximal, characteristic, complemented
16#20288669C212yesmaximal, complemented
17#20288658C212yesmaximal, complemented
18#20288654C212yesmaximal, complemented
19#20288645C214yesmaximal, complemented
20#20288623C212yesmaximal, complemented
21#20288620C212yesmaximal, complemented
22#20288607C212yesmaximal, complemented
23#20288598C211yesmaximal, characteristic, complemented
24#20288588C211yesmaximal, characteristic, complemented
25#20288588C212yesmaximal, complemented
26#20288587C212yesmaximal, complemented
27#20288504C212yesmaximal, complemented
28#20288499C211yesmaximal, characteristic, complemented
29#20288492C211yesmaximal, characteristic, complemented
30#20288372C212yesmaximal, complemented
31#20288354C212yesmaximal, complemented
32#20288012C211yesmaximal, characteristic, complemented
33#20288009C211yesmaximal, characteristic, complemented
34#532×D53C211yesmaximal, characteristic, complemented
35C53×#3554C211yesmaximal, characteristic, complemented
36C2×#13133265C2212yescomplemented
37C2×#13133263C2212yes—
38C2×#41×D53C2212yescomplemented
39#16811370C2214yescomplemented
40#16811369C2214yescomplemented
41#16811369C2214yescomplemented
42#16811364C2214yescomplemented
43#16811363C2214yescomplemented
44#16811363C2214yescomplemented
45#16811361C2214yescomplemented
46#16811358C2212yescomplemented
47#16811358C2211yescharacteristic, complemented
48#16811357C2214yescomplemented
49#16811357C2214yescomplemented
50#16811355C2214yescomplemented
51#16811355C2212yescomplemented
52#16811351C2211yescharacteristic, complemented
53#16811348C2212yescomplemented
54#16811347C2211yescharacteristic, complemented
55#16811346C2211yescharacteristic, complemented
56#16811345C2212yescomplemented
57#16811344C2214yescomplemented
58#16811340C2214yescomplemented
59#16811339C2212yescomplemented
60#16811338C2212yescomplemented
61#16811335C2214yescomplemented
62#16811333C2212yescomplemented
63#16811327C2214yescomplemented
64#16811326C2212yescomplemented
65#16811326C2214yescomplemented
66#16811326C2212yescomplemented
67#16811324C2214yescomplemented
68#16811323C2212yescomplemented
69#16811323C2212yescomplemented
70#16811321C2214yescomplemented
71#16811318C2214yescomplemented
72#16811318C2214yescomplemented
73#16811316C2214yescomplemented
74#16811314C2212yescomplemented
75#16811311C2212yescomplemented
76#16811305C2214yescomplemented
77#16811303C2214yescomplemented
78#16811302C2214yescomplemented
79#16811300C2214yescomplemented
80#16811300C2214yescomplemented
81#16811300C2214yescomplemented
82#16811298C2214yescomplemented
83#16811296C2214yescomplemented
84#16811296C2214yescomplemented
85#16811295C2212yescomplemented
86#16811295C2212yescomplemented
87#16811295C2211yescharacteristic, complemented
88#16811295C2211yescharacteristic, complemented
89#16811294C2214yescomplemented
90#16811294C2212yescomplemented
91#16811294C2212yescomplemented
92#16811293C2212yescomplemented
93#16811293C2211yescharacteristic, complemented
94#16811292C2212yescomplemented
95#16811292C2212yescomplemented
96#16811291C2214yescomplemented
97#16811291C2214yescomplemented
98#16811291C2212yescomplemented
99Q8×D212C2211yescharacteristic, complemented
100Q8×C22⋊D53C2212yescomplemented
101#16811284C2212yescomplemented
102#16811283C2214yescomplemented
103#16811283C2214yescomplemented
104#16811283C2214yescomplemented
105#16811283C2212yescomplemented
106#16811281C2214yescomplemented
107#16811281C2212yescomplemented
108#16811278C2212yescomplemented
109#16811278C2211yescharacteristic, complemented
110#16811276C2212yescomplemented
111#16811276C2211yescharacteristic, complemented
112#16811276C2212yescomplemented
113#16811275C2214yescomplemented
114#16811275C2212yescomplemented
115#16811275C2212yescomplemented
116#16811274C2214yescomplemented
117#16811272C2212yescomplemented
118#16811271C2214yescomplemented
119#16811269C2212yescomplemented
120#16811268C2212yescomplemented
121#16811268C2212yescomplemented
122#16811268C2212yescomplemented
123#16811268C2212yescomplemented
124#16811266C2212yescomplemented
125#16811266C2212yescomplemented
126#16811266C2212yescomplemented
127#16811265C2214yescomplemented
128#16811265C2214yescomplemented
129#16811265C2214yescomplemented
130#16811265C2214yescomplemented
131#16811265C2214yescomplemented
132#16811265C2214yescomplemented
133#16811265C2214yescomplemented
134#16811264C2214yescomplemented
135#16811264C2214yescomplemented
136#16811264C2212yescomplemented
137#16811262C2214yescomplemented
138#16811262C2214yescomplemented
139#16811261C2212yescomplemented
140D4×D212C2212yes—
141D4×D212C2211yescharacteristic, complemented
142#16811258C2212yes—
143#16811258C2211yescharacteristic, complemented
144#16811257C2214yes—
145#16811257C2212yescomplemented
146#16811247C2212yescomplemented
147#16811247C2212yescomplemented
148#16811244C2212yescomplemented
149#16811244C2212yescomplemented
150#16811243C2214yescomplemented
151#16811243C2214yescomplemented
152#16811242C2212yescomplemented
153#16811242C2212yescomplemented
154#16811232C2214yescomplemented
155#16811229C2214yescomplemented
156#16811229C2212yescomplemented
157#16811228C2212yescomplemented
158#16811227C2212yescomplemented
159#16811226C2214yescomplemented
160#16811225C2214yescomplemented
161#16811225C2214yescomplemented
162#16811225C2214yescomplemented
163#16811225C2214yescomplemented
164#16811223C2214yescomplemented
165#16811222C2214yescomplemented
166#16811221C2214yescomplemented
167#16811216C2214yescomplemented
168#16811213C2214yescomplemented
169#16811213C2214yescomplemented
170#16811212C2214yescomplemented
171#16811210C2214yescomplemented
172#16811209C2214yescomplemented
173#16811207C2214yescomplemented
174#16811207C2214yescomplemented
175#16811206C2214yescomplemented
176#16811203C2212yescomplemented
177#16811203C2214yescomplemented
178#16811202C2212yescomplemented
179#16811198C2212yes—
180#16811198C2212yescomplemented
181#16811196C2214yescomplemented
182#16811196C2212yescomplemented
183#16811192C2212yescomplemented
184#16811191C2214yescomplemented
185#16811191C2214yescomplemented
186#16811191C2212yescomplemented
187#16811191C2212yescomplemented
188#16811189C2212yes—
189#16811189C2212yescomplemented
190#16811189C2214yescomplemented
191#16811189C2212yescomplemented
192#16811189C2214yescomplemented
193#16811184C2214yescomplemented
194#16811181C2214yescomplemented
195#16811179C2211yescharacteristic, complemented
196#16811179C2212yescomplemented
197#16811178C2211yescharacteristic, complemented
198#16811178C2211yescharacteristic, complemented
199#16811177C2211yescharacteristic, complemented
200#16811177C2212yescomplemented
201#16811175C2211yescharacteristic, complemented
202#16811174C2211yescharacteristic
203#16811174C2211yescharacteristic, complemented
204#16811174C2211yescharacteristic, complemented
205#16811174C2212yescomplemented
206#16811173C2211yescharacteristic, complemented
207#16811173C2211yescharacteristic, complemented
208#16811172C2211yescharacteristic, complemented
209#16811172C2212yescomplemented
210#16811172C2212yescomplemented
211#16811171C2211yescharacteristic, complemented
212#16811170C2211yescharacteristic
213#16811170C2212yescomplemented
214#16811170C2212yescomplemented
215#16811170C2212yescomplemented
216#16811170C2212yescomplemented
217#16811170C2212yescomplemented
218#16811169C2212yescomplemented
219#16811169C2212yescomplemented
220#16811168C2211yescharacteristic, complemented
221#16811168C2212yescomplemented
222#16811168C2212yescomplemented
223C4⋊Q8×D53C2211yescharacteristic, complemented
224C4⋊Q8×D53C2212yescomplemented
225#127×D53C2211yescharacteristic
226#127×D53C2212yescomplemented
227#16811160C2212yescomplemented
228#16811160C2211yescharacteristic, complemented
229#16811160C2211yescharacteristic, complemented
230#16811160C2212yescomplemented
231#16811159C2212yescomplemented
232#16811159C2211yescharacteristic, complemented
233#16811159C2211yescharacteristic, complemented
234#16811159C2212yescomplemented
235#16811158C2211yescharacteristic, complemented
236#16811158C2212yescomplemented
237#16811158C2212yescomplemented
238#16811157C2211yescharacteristic, complemented
239#16811156C2212yescomplemented
240#16811156C2212yescomplemented
241#16811155C2212yescomplemented
242#16811154C2212yescomplemented
243#16811152C2211yescharacteristic, complemented
244#16811151C2212yescomplemented
245#16811150C2212yescomplemented
246C2×#13133206C2212yescomplemented
247#124×D53C2212yescomplemented
248#124×D53C2212yescomplemented
249#16811136C2211yescharacteristic
250#16811136C2211yescharacteristic, complemented
251#16811136C2212yescomplemented
252#16811136C2211yescharacteristic, complemented
253#16811136C2214yescomplemented
254#16811135C2212yescomplemented
255#16811133C2211yescharacteristic, complemented
256#16811132C2212yescomplemented
257#16811132C2214yescomplemented
258#16811131C2212yescomplemented
259C2×#13133202C2214yescomplemented
260#123×D53C2214yescomplemented
261#121×D53C2212yescomplemented
262#121×D53C2212yescomplemented
263#16811105C2212yescomplemented
264#16811104C2214yescomplemented
265#16811102C2212yescomplemented
266#16811099C2212yescomplemented
267#16811095C2212yescomplemented
268#16811095C2212yescomplemented
269#16811095C2212yescomplemented
270#16811095C2214yescomplemented
271C4×#11719949C2211yescharacteristic
272C4×#11719949C2211yescharacteristic, complemented
273C4×#11719949C2212yescomplemented
274C4×#11719949C2211yescharacteristic, complemented
275#16811091C2212yescomplemented
276#16811091C2212yescomplemented
277C4×#11719947C2212yescomplemented
278C4×#11719947C2211yescharacteristic, complemented
279C4×D4×D53C2212yescomplemented
280C4×D4×D53C2212yescomplemented
281C2×C42×D53C2211yescharacteristic, complemented
282C53×#562C2214yescomplemented
283C53×#559C2212yescomplemented
284C53×#559C2211yescharacteristic, complemented
285C53×#557C2211yescharacteristic, complemented
286C53×#554C2212yescomplemented
287C53×#550C2211yescharacteristic, complemented
288D4×Q8×C53C2211yescharacteristic, complemented
289C53×#548C2212yescomplemented
290C53×#547C2212yescomplemented
291C53×#542C2212yescomplemented
292C53×#542C2212yescomplemented
293C53×#540C2212yescomplemented
294C53×#539C2214yescomplemented
295C53×#536C2212yescomplemented
296C53×#533C2211yescharacteristic, complemented
297C53×#532C2211yescharacteristic, complemented
298C53×#529C2211yescharacteristic, complemented
299#13133265—48no—
300#13133263—48no—
301C2×#11719949C2311yescharacteristic
302C2×#11719949C2311yescharacteristic
303C2×#11719949C2314yes—
304C2×#11719949C2312yes—
305C2×#11719949C2311yescharacteristic
306C2×#11719949C2312yes—
307C2×#11719949C2312yes—
308C2×#11719949C2312yes—
309C2×#11719949C2312yes—
310C2×#11719945C2312yes—
311C2×#11719945C2314yes—
312C2×#11719945C2314yes—
313C2×#11719945C2314yes—
314C2×#11719945C2314yes—
315C2×#11719945C2312yes—
316C2×#11719945C2314yes—
317C2×#11719945C2312yes—
318C2×#11719945C2312yes—
319C2×#11719947C2311yescharacteristic
320C2×#11719947C2312yes—
321C2×#11719947C2312yes—
322C2×#11719947C2314yes—
323C2×#11719947C2312yes—
324#41×D53—48no—
325C2×Q8×D53C2312yes—
326C2×Q8×D53C2314yes—
327C2×Q8×D53C2312yes—
328C22×D212C2314yes—
329C22×D212C2312yes—
330C2×D4×D53C2312yes—
331C2×D4×D53C2314yes—
332C2×D4×D53C2312yes—
333C2×D4×D53C2314yes—
334C2×D4×D53C2314yes—
335C2×D4×D53C2312yes—
336C2×D4×D53C2312yes—
337C2×D4×D53C2312yes—
338C2×D4×D53C2312yes—
339C2×D4×D53C2314yes—
340C22×C4×D53C2311yescharacteristic
341C22×C4×D53C2311yescharacteristic
342C22×C4×D53C2311yescharacteristic
343C22×C4×D53C2314yes—
344#13133217C2312yes—
345#13133217C2311yescharacteristic
346#13133217C2311yescharacteristic
347#13133216C2314yes—
348#13133216C2312yes—
349#13133216C2311yescharacteristic
350#13133216C2312yes—
351#13133216C2311yescharacteristic
352#13133215C2312yes—
353#13133215C2314yes—
354#13133215C2312yes—
355#13133215C2311yescharacteristic
356#13133214C2312yes—
357#13133214C2314yes—
358#13133214C2311yescharacteristic
359#13133214C2312yes—
360#13133214C2311yescharacteristic
361#13133213C2314yes—
362#13133213C2314yes—
363#13133213C2312yes—
364#13133213C2314yes—
365#13133213C2314yes—
366#13133213C2314yes—
367#13133213C2312yes—
368#13133213C2312yes—
369#13133213C2312yes—
370#13133213C2311yescharacteristic
371#13133212C2312yes—
372#13133212C2314yes—
373#13133212C2314yes—
374#13133212C2314yes—
375#13133212C2312yes—
376#13133212C2314yes—
377#13133212C2314yes—
378#13133212C2314yes—
379#13133212C2314yes—
380#13133212C2312yes—
381#13133212C2312yes—
382#13133212C2312yes—
383#13133211C2314yes—
384#13133211C2312yes—
385#13133210C2314yes—
386#13133210C2314yes—
387#13133210C2314yes—
388#13133210C2312yes—
389#13133209C2312yes—
390#13133209C2311yescharacteristic
391#13133208C2314yes—
392#13133208C2311yescharacteristic
393#13133208C2311yescharacteristic
394#13133208C2312yes—
395#13133207C2314yes—
396#13133207C2314yes—
397#13133207C2314yes—
398#13133207C2312yes—
399#13133207C2312yes—
400#13133206C2314yes—
401#13133206C2314yes—
402#13133206C2312yes—
403#13133206C2314yes—
404#13133206C2312yes—
405#13133206C2314yes—
406#13133206C2311yescharacteristic
407#13133206C2312yes—
408#13133206C2311yescharacteristic
409#13133206C2312yes—
410#13133205C2311yescharacteristic
411#13133205C2312yes—
412#13133205C2312yes—
413#13133205C2312yes—
414#13133205C2312yes—
415#13133204C2312yes—
416#13133203C2312yes—
417#13133203C2314yes—
418#13133203C2314yes—
419#13133203C2314yes—
420#13133203C2314yes—
421#13133203C2314yes—
422#13133203C2314yes—
423#13133203C2314yes—
424#13133203C2314yes—
425#13133203C2314yes—
426#13133203C2314yes—
427#13133203C2314yes—
428#13133203C2312yes—
429#13133202C2314yes—
430#13133202C2314yes—
431#13133202C2314yes—
432#13133202C2314yes—
433#13133202C2314yes—
434#13133202C2314yes—
435#13133202C2314yes—
436#13133202C2314yes—
437#13133202C2314yes—
438#13133202C2314yes—
439#13133202C2314yes—
440#13133202C2314yes—
441#13133202C2314yes—
442#13133202C2314yes—
443#13133202C2314yes—
444#13133202C2312yes—
445#13133202C2312yes—
446#13133202C2312yes—
447#13133202C2312yes—
448#13133202C2312yes—
449#13133202C2312yes—
450#13133201C2314yes—
451#13133201C2314yes—
452#13133201C2314yes—
453#13133201C2314yes—
454#13133201C2312yes—
455#13133201C2312yes—
456#13133200C2314yes—
457#13133200C2314yes—
458#13133200C2312yes—
459#13133199C2314yes—
460#13133199C2314yes—
461#13133199C2314yes—
462#13133199C2314yes—
463#13133199C2314yes—
464#13133199C2314yes—
465#13133199C2314yes—
466#13133199C2312yes—
467#13133199C2312yes—
468#13133198C2314yes—
469#13133198C2314yes—
470#13133197C2311yescharacteristic
471#13133197C2312yes—
472#13133197C2312yes—
473#13133197C2314yes—
474#13133197C2312yes—
475#13133197C2312yes—
476#13133196C2312yes—
477#13133196C2314yes—
478#13133196C2311yescharacteristic
479#13133195C2314yes—
480#13133195C2312yes—
481#13133195C2314yes—
482#13133195C2314yes—
483#13133195C2314yes—
484#13133195C2314yes—
485#13133195C2312yes—
486#13133195C2314yes—
487#13133195C2314yes—
488#13133195C2312yes—
489#13133194C2312yes—
490#13133194C2314yes—
491#13133194C2314yes—
492#13133193C2311yescharacteristic
493#13133193C2312yes—
494#13133193C2311yescharacteristic
495#13133193C2312yes—
496#13133193C2314yes—
497#13133193C2311yescharacteristic
498#13133193C2314yes—
499#13133193C2312yes—
500#13133193C2314yes—
501#13133192C2312yes—
502#13133192C2312yes—
503#13133192C2311yescharacteristic
504#13133192C2314yes—
505#13133192C2314yes—
506#13133192C2314yes—
507#13133192C2314yes—
508#13133192C2314yes—
509#13133192C2314yes—
510#13133192C2314yes—
511#13133192C2314yes—
512#13133192C2312yes—
513#13133192C2312yes—
514#13133192C2312yes—
515#13133192C2311yescharacteristic
516#13133192C2312yes—
517#13133192C2314yes—
518#13133192C2311yescharacteristic
519#13133192C2314yes—
520#13133192C2312yes—
521#13133192C2312yes—
522#13133192C2312yes—
523#13133191C2314yes—
524#13133191C2314yes—
525#13133191C2314yes—
526#13133191C2314yes—
527#13133191C2311yescharacteristic
528#13133191C2312yes—
529#13133191C2311yescharacteristic
530#13133191C2314yes—
531#13133191C2312yes—
532#13133191C2312yes—
533#13133191C2312yes—
534#13133191C2311yescharacteristic
535#13133190C2312yes—
536#13133190C2314yes—
537#13133190C2314yes—
538#13133190C2314yes—
539#13133190C2314yes—
540#13133190C2314yes—
541#13133190C2314yes—
542#13133190C2314yes—
543#13133190C2314yes—
544#13133190C2314yes—
545#13133190C2314yes—
546#13133190C2312yes—
547#13133190C2314yes—
548#13133190C2314yes—
549#13133190C2314yes—
550#13133190C2314yes—
551#13133190C2314yes—
552#13133190C2314yes—
553#13133190C2314yes—
554#13133190C2312yes—
555#13133189C2314yes—
556#13133189C2314yes—
557#13133189C2314yes—
558#13133189C2314yes—
559#13133189C2314yes—
560#13133189C2314yes—
561#13133189C2312yes—
562#13133189C2314yes—
563#13133189C2314yes—
564#13133188C2312yes—
565#13133188C2312yes—
566#13133188C2312yes—
567#13133188C2311yescharacteristic
568#13133188C2312yes—
569#13133188C2314yes—
570#13133188C2314yes—
571#13133188C2312yes—
572#13133188C2312yes—
573#13133187C2314yes—
574#13133187C2314yes—
575#13133187C2314yes—
576#13133187C2314yes—
577#13133187C2314yes—
578#13133187C2314yes—
579#13133187C2314yes—
580#13133187C2314yes—
581#13133187C2314yes—
582#13133187C2314yes—
583#13133187C2314yes—
584#13133187C2312yes—
585#13133187C2312yes—
586#13133187C2312yes—
587#13133185C2314yes—
588#13133185C2314yes—
589#13133185C2314yes—
590#13133185C2314yes—
591#13133185C2314yes—
592#13133185C2312yes—
593Q8×Dic53C2312yes—
594Q8×Dic53C2311yescharacteristic
595Q8×Dic53C2311yescharacteristic
596Q8×Dic53C2312yes—
597Q8×Dic53C2311yescharacteristic
598C4×Dic106C2314yes—
599C4×Dic106C2312yes—
600C4×Dic106C2312yes—
601C4×Dic106C2311yescharacteristic
602C4×Dic106C2312yes—
603#13133182C2312yes—
604#13133182C2312yes—
605#13133182C2314yes—
606#13133182C2312yes—
607#13133182C2314yes—
608#13133182C2312yes—
609#13133182C2312yes—
610#13133182C2311yescharacteristic
611#13133182C2312yes—
612C4×D212C2312yes—
613C4×D212C2312yes—
614C4×D212C2312yes—
615C4×D212C2312yes—
616C4×D212C2312yes—
617C4×D212C2312yes—
618C4×D212C2312yes—
619C4×D212C2312yes—
620C4×D212C2311yescharacteristic
621C4×D212C2311yescharacteristic
622C4×D212C2314yes—
623C4×D212C2312yes—
624C4×D212C2314yes—
625C4×D212C2312yes—
626C4×D212C2312yes—
627C4×D212C2312yes—
628C4×D212C2311yescharacteristic
629D4×Dic53C2312yes—
630D4×Dic53C2314yes—
631D4×Dic53C2312yes—
632D4×Dic53C2312yes—
633D4×Dic53C2311yescharacteristic
634D4×Dic53C2312yes—
635#13133179C2312yes—
636#13133179C2312yes—
637#13133179C2312yes—
638#13133179C2312yes—
639#13133179C2312yes—
640#13133179C2312yes—
641#13133179C2312yes—
642#13133179C2312yes—
643#13133179C2314yes—
644#13133179C2314yes—
645#13133179C2311yescharacteristic
646#13133179C2312yes—
647#13133179C2314yes—
648#13133179C2314yes—
649#13133179C2312yes—
650#13133179C2312yes—
651#13133179C2312yes—
652#13133179C2311yescharacteristic
653#13133179C2311yescharacteristic
654#13133179C2312yes—
655C4×C22⋊D53C2312yes—
656C4×C22⋊D53C2314yes—
657C4×C22⋊D53C2314yes—
658C4×C22⋊D53C2314yes—
659C4×C22⋊D53C2312yes—
660C4×C22⋊D53C2312yes—
661C4×C22⋊D53C2314yes—
662C4×C22⋊D53C2314yes—
663C4×C22⋊D53C2314yes—
664C4×C22⋊D53C2314yes—
665C4×C22⋊D53C2314yes—
666C4×C22⋊D53C2314yes—
667C4×C22⋊D53C2314yes—
668#13133177C2312yes—
669#13133177C2312yes—
670#13133177C2312yes—
671#13133177C2312yes—
672#13133177C2314yes—
673#13133177C2314yes—
674#13133177C2314yes—
675#13133177C2312yes—
676#13133177C2312yes—
677#13133177C2314yes—
678#13133177C2314yes—
679#13133177C2312yes—
680#13133177C2314yes—
681#13133177C2312yes—
682#13133177C2314yes—
683#13133177C2312yes—
684#13133177C2312yes—
685#13133177C2312yes—
686#13133176C2314yes—
687#13133175C2312yes—
688#13133175C2314yes—
689#13133175C2314yes—
690#13133175C2312yes—
691#13133175C2312yes—
692#13133175C2312yes—
693#13133175C2311yescharacteristic
694#13133175C2311yescharacteristic
695#13133175C2311yescharacteristic
696#13133175C2312yes—
697#13133175C2311yescharacteristic
698#13133175C2312yes—
699#13133175C2312yes—
700#13133175C2312yes—
701#13133175C2312yes—
702#13133174C2314yes—
703#13133174C2314yes—
704#13133174C2314yes—
705#13133174C2312yes—
706#13133174C2312yes—
707#13133174C2312yes—
708#13133174C2312yes—
709#13133173C2312yes—
710#13133173C2314yes—
711#13133173C2312yes—
712#13133173C2312yes—
713C2×#11719919C2314yes—
714C4⋊C4×D53C2314yes—
715C4⋊C4×D53C2314yes—
716C4⋊C4×D53C2312yes—
717C4⋊C4×D53C2314yes—
718C4⋊C4×D53C2312yes—
719C4⋊C4×D53C2312yes—
720C4⋊C4×D53C2312yes—
721C2×#11719921C2314yes—
722C2×#11719921C2314yes—
723C2×#11719921C2314yes—
724C2×#11719921C2314yes—
725C2×#11719921C2314yes—
726C22⋊C4×D53C2314yes—
727C22⋊C4×D53C2314yes—
728C22⋊C4×D53C2314yes—
729C22⋊C4×D53C2314yes—
730C22⋊C4×D53C2314yes—
731C22⋊C4×D53C2314yes—
732C22⋊C4×D53C2314yes—
733C2×C4×Dic53C2311yescharacteristic
734C2×C4×Dic53C2311yescharacteristic
735C2×C4×Dic53C2311yescharacteristic
736C2×C4×Dic53C2312yes—
737C42×D53C2311yescharacteristic
738C42×D53C2311yescharacteristic
739C42×D53C2311yescharacteristic
740C42×D53C2311yescharacteristic
741C42×D53C2311yescharacteristic
742C42×D53C2311yescharacteristic
743C42×D53C2311yescharacteristic
744C42×D53C2311yescharacteristic
745C42×D53C2312yes—
746C42×D53C2312yes—
747C42×D53C2312yes—
748C2×#41×C53C2312yes—
749C2×#41×C53C2312yes—
750C22×Q8×C53C2312yes—
751C4⋊Q8×C53C2311yescharacteristic
752C4⋊Q8×C53C2312yes—
753C4⋊Q8×C53C2312yes—
754C4⋊Q8×C53C2311yescharacteristic
755C4⋊Q8×C53C2311yescharacteristic
756#127×C53C2311yescharacteristic
757#127×C53C2312yes—
758#126×C53C2314yes—
759#126×C53C2312yes—
760#125×C53C2314yes—
761#125×C53C2311yescharacteristic
762#125×C53C2312yes—
763#125×C53C2312yes—
764#124×C53C2311yescharacteristic
765#124×C53C2312yes—
766#124×C53C2312yes—
767#124×C53C2314yes—
768#124×C53C2314yes—
769#124×C53C2312yes—
770#123×C53C2314yes—
771#123×C53C2314yes—
772#123×C53C2314yes—
773#123×C53C2314yes—
774#123×C53C2314yes—
775#123×C53C2314yes—
776#123×C53C2312yes—
777C22⋊Q8×C53C2312yes—
778C22⋊Q8×C53C2314yes—
779C22⋊Q8×C53C2314yes—
780C22⋊Q8×C53C2311yescharacteristic
781C22⋊Q8×C53C2314yes—
782C22⋊Q8×C53C2311yescharacteristic
783C22⋊Q8×C53C2314yes—
784C22⋊Q8×C53C2314yes—
785C22⋊Q8×C53C2311yescharacteristic
786C22⋊Q8×C53C2312yes—
787#121×C53C2314yes—
788#121×C53C2314yes—
789#121×C53C2312yes—
790#121×C53C2311yescharacteristic
791#121×C53C2312yes—
792#121×C53C2312yes—
793#121×C53C2314yes—
794C4×Q8×C53C2311yescharacteristic
795C4×Q8×C53C2311yescharacteristic
796C4×Q8×C53C2311yescharacteristic
797C4×Q8×C53C2312yes—
798C4×Q8×C53C2312yes—
799C4×Q8×C53C2312yes—
800C4×D4×C53C2312yes—
801C4×D4×C53C2312yes—
802C4×D4×C53C2312yes—
803C4×D4×C53C2312yes—
804C4×D4×C53C2312yes—
805C4×D4×C53C2311yescharacteristic
806C4×D4×C53C2314yes—
807C4×D4×C53C2312yes—
808C4×D4×C53C2312yes—
809#117×C53C2312yes—
810#117×C53C2312yes—
811C2×C4⋊C4×C53C2314yes—
812C2×C42×C53C2311yescharacteristic
813C23×D53C2414yes—
814C23×D53C2411yescharacteristic
815C23×D53C2414yes—
816C23×D53C2414yes—
817#41×C53—44no—
818#41×C53—44no—
819C2×Q8×C53—44no—
820C2×Q8×C53C2411yescharacteristic
821C2×Q8×C53C2411yescharacteristic
822C2×Q8×C53C2412yes—
823C2×Q8×C53C2411yescharacteristic
824C2×Q8×C53C2412yes—
825C2×Q8×C53C2414yes—
826C2×D4×C53C2411yescharacteristic
827C2×D4×C53C2412yes—
828C2×D4×C53C2412yes—
829C2×D4×C53C2412yes—
830C2×D4×C53C2412yes—
831C2×D4×C53C2414yes—
832C2×D4×C53C2414yes—
833C2×D4×C53C2414yes—
834C22×C4×C53C2411yescharacteristic
835C22×C4×C53C2411yescharacteristic
836C22×C4×C53C2412yes—
837C22×C4×C53C2411yescharacteristic
838C22×C4×C53C2414yes—
839C22×C4×C53C2414yes—
840C22×C4×C53C2414yes—
841C22×C4×C53C2414yes—
842C2×C22⋊D53C2414yes—
843C2×C22⋊D53C2412yes—
844C2×C22⋊D53C2412yes—
845C2×C22⋊D53C2412yes—
846C2×C22⋊D53C2414yes—
847C2×C22⋊D53C2412yes—
848C2×C22⋊D53C2412yes—
849C2×C22⋊D53C2412yes—
850C2×C22⋊D53C2412yes—
851C2×C22⋊D53C2414yes—
852C2×C22⋊D53C2414yes—
853C2×C22⋊D53C2414yes—
854C2×C22⋊D53C2414yes—
855C2×C22⋊D53C2414yes—
856C2×C22⋊D53C2414yes—
857C2×C22⋊D53C2414yes—
858C2×C22⋊D53C2414yes—
859C2×C22⋊D53C2414yes—
860C22×Dic53C2411yescharacteristic
861C22×Dic53C2411yescharacteristic
862C22×Dic53C2411yescharacteristic
863C22×Dic53C2412yes—
864C22×Dic53C2412yes—
865C22×Dic53C2414yes—
866C22×Dic53C2414yes—
867#11719949—24no—
868#11719949—24no—
869#11719949—44no—
870#11719949—48no—
871#11719949—44no—
872#11719949—42no—
873#11719949—44no—
874#11719949—44no—
875#11719949—44no—
876Q8×D53—28no—
877Q8×D53—48no—
878Q8×D53—44no—
879#11719947—44no—
880#11719947—42no—
881#11719947—44no—
882#11719947—48no—
883#11719947—44no—
884D4×D53—28no—
885D4×D53—44no—
886D4×D53—44no—
887D4×D53—44no—
888D4×D53—44no—
889D4×D53—44no—
890D4×D53—48no—
891D4×D53—48no—
892D4×D53—48no—
893D4×D53—48no—
894#11719945—28no—
895#11719945—48no—
896#11719945—48no—
897#11719945—48no—
898#11719945—48no—
899#11719945—44no—
900#11719945—44no—
901#11719945—44no—
902#11719945—48no—
903C2×D212—44no—
904C2×D212—48no—
905C2×D212C2412yes—
906C2×D212C2412yes—
907C2×D212C2411yescharacteristic
908C2×D212C2412yes—
909C2×D212C2412yes—
910C2×D212C2411yescharacteristic
911C2×D212C2412yes—
912C2×D212C2411yescharacteristic
913C2×D212C2412yes—
914C2×D212C2414yes—
915C2×D212C2412yes—
916C2×D212C2412yes—
917C2×D212C2412yes—
918C2×D212C2414yes—
919C2×D212C2414yes—
920C2×D212C2412yes—
921C2×D212C2412yes—
922C2×D212C2414yes—
923C2×D212C2414yes—
924C2×D212C2414yes—
925C2×D212C2414yes—
926C2×C4×D53—24no—
927C2×C4×D53—42no—
928C2×C4×D53—42no—
929C2×C4×D53—48no—
930C2×C4×D53C2411yescharacteristic
931C2×C4×D53C2411yescharacteristic
932C2×C4×D53C2411yescharacteristic
933C2×C4×D53C2411yescharacteristic
934C2×C4×D53C2411yescharacteristic
935C2×C4×D53C2411yescharacteristic
936C2×C4×D53C2411yescharacteristic
937C2×C4×D53C2412yes—
938C2×C4×D53C2412yes—
939C2×C4×D53C2412yes—
940C2×C4×D53C2412yes—
941C2×C4×D53C2412yes—
942C2×C4×D53C2412yes—
943C2×C4×D53C2412yes—
944C2×C4×D53C2414yes—
945C2×C4×D53C2411yescharacteristic
946C2×C4×D53C2411yescharacteristic
947C2×C4×D53C2411yescharacteristic
948C2×C4×D53C2411yescharacteristic
949C2×C4×D53C2412yes—
950C2×C4×D53C2412yes—
951C2×C4×D53C2414yes—
952C2×C4×D53C2414yes—
953C2×C4×D53C2414yes—
954C2×C4×D53C2414yes—
955C2×C4×D53C2414yes—
956C2×C4×D53C2414yes—
957C2×C4×D53C2414yes—
958C2×C4×D53C2414yes—
959C2×C4×D53C2411yescharacteristic
960C2×Dic106C2412yes—
961C2×Dic106C2412yes—
962C2×Dic106C2411yescharacteristic
963C2×Dic106C2414yes—
964C2×Dic106C2412yes—
965C2×Dic106C2412yes—
966C2×Dic106C2414yes—
967C4⋊C4×C53C2412yes—
968C4⋊C4×C53C2412yes—
969C4⋊C4×C53C2414yes—
970C4⋊C4×C53C2414yes—
971C4⋊C4×C53C2412yes—
972C4⋊C4×C53C2412yes—
973C4⋊C4×C53C2412yes—
974C4⋊C4×C53C2412yes—
975C4⋊C4×C53C2411yescharacteristic
976C4⋊C4×C53C2411yescharacteristic
977C4⋊C4×C53C2412yes—
978C4⋊C4×C53C2412yes—
979C4⋊C4×C53C2411yescharacteristic
980C4⋊C4×C53C2412yes—
981C4⋊C4×C53C2411yescharacteristic
982C4⋊C4×C53C2412yes—
983C4⋊C4×C53C2414yes—
984C4⋊C4×C53C2412yes—
985C4⋊C4×C53C2412yes—
986C4⋊C4×C53C2414yes—
987C4⋊C4×C53C2412yes—
988C22⋊C4×C53C2412yes—
989C22⋊C4×C53C2412yes—
990C22⋊C4×C53C2412yes—
991C22⋊C4×C53C2412yes—
992C22⋊C4×C53C2412yes—
993C22⋊C4×C53C2412yes—
994C22⋊C4×C53C2414yes—
995C22⋊C4×C53C2414yes—
996C22⋊C4×C53C2414yes—
997C22⋊C4×C53C2414yes—
998C22⋊C4×C53C2414yes—
999C22⋊C4×C53C2412yes—
1000C22⋊C4×C53C2414yes—
1001C22⋊C4×C53C2414yes—
1002C42×C53C2411yescharacteristic
1003C42×C53C2411yescharacteristic
1004C42×C53C2411yescharacteristic
1005C42×C53C2411yescharacteristic
1006C42×C53C2412yes—
1007C42×C53C2412yes—
1008C42×C53C2412yes—
1009C42×C53C2414yes—
1010C22⋊Dic53C2414yes—
1011C22⋊Dic53C2412yes—
1012C22⋊Dic53C2414yes—
1013C22⋊Dic53C2414yes—
1014C22⋊Dic53C2414yes—
1015C22⋊Dic53C2412yes—
1016C22⋊Dic53C2412yes—
1017C22⋊Dic53C2414yes—
1018#11719921C2412yes—
1019#11719921C2412yes—
1020#11719921C2412yes—
1021#11719921C2412yes—
1022#11719921C2412yes—
1023#11719921C2412yes—
1024#11719921C2414yes—
1025#11719921C2414yes—
1026#11719921C2414yes—
1027#11719921C2414yes—
1028#11719921C2414yes—
1029#11719921C2414yes—
1030#11719921C2414yes—
1031#11719921C2412yes—
1032#11719921C2414yes—
1033#11719921C2412yes—
1034#11719921C2412yes—
1035#11719921C2414yes—
1036#11719921C2414yes—
1037#11719921C2414yes—
1038#11719921C2414yes—
1039#11719921C2414yes—
1040#11719921C2414yes—
1041#11719921C2412yes—
1042#11719921C2412yes—
1043#11719921C2412yes—
1044#11719921C2412yes—
1045#11719921C2412yes—
1046#11719921C2414yes—
1047#11719921C2412yes—
1048#11719921C2412yes—
1049#11719921C2412yes—
1050#11719921C2412yes—
1051#11719921C2414yes—
1052#11719921C2412yes—
1053#11719921C2412yes—
1054#11719921C2412yes—
1055#11719921C2412yes—
1056#11719921C2412yes—
1057#11719921C2412yes—
1058#11719921C2412yes—
1059#11719921C2412yes—
1060C4⋊Dic53C2412yes—
1061C4⋊Dic53C2411yescharacteristic
1062C4⋊Dic53C2412yes—
1063C4⋊Dic53C2414yes—
1064C4⋊Dic53C2412yes—
1065C4⋊Dic53C2412yes—
1066C4⋊Dic53C2411yescharacteristic
1067C4⋊Dic53C2411yescharacteristic
1068C4⋊Dic53C2412yes—
1069C4⋊Dic53C2412yes—
1070C4⋊Dic53C2411yescharacteristic
1071C4⋊Dic53C2412yes—
1072C4⋊Dic53C2412yes—
1073C4⋊Dic53C2412yes—
1074C4⋊Dic53C2414yes—
1075#11719919C2412yes—
1076#11719919C2412yes—
1077#11719919C2412yes—
1078#11719919C2414yes—
1079#11719919C2414yes—
1080#11719919C2414yes—
1081#11719919C2414yes—
1082#11719919C2414yes—
1083#11719919C2412yes—
1084#11719919C2414yes—
1085#11719919C2412yes—
1086#11719919C2412yes—
1087#11719919C2412yes—
1088#11719919C2412yes—
1089#11719919C2412yes—
1090#11719919C2412yes—
1091#11719919C2412yes—
1092#11719919C2412yes—
1093#11719919C2412yes—
1094#11719919C2412yes—
1095#11719919C2414yes—
1096#11719919C2414yes—
1097C4×Dic53C2411yescharacteristic
1098C4×Dic53C2411yescharacteristic
1099C4×Dic53C2411yescharacteristic
1100C4×Dic53C2411yescharacteristic
1101C4×Dic53C2411yescharacteristic
1102C4×Dic53C2411yescharacteristic
1103C4×Dic53C2411yescharacteristic
1104C4×Dic53C2411yescharacteristic
1105C4×Dic53C2411yescharacteristic
1106C4×Dic53C2411yescharacteristic
1107C4×Dic53C2411yescharacteristic
1108C4×Dic53C2411yescharacteristic
1109C4×Dic53C2412yes—
1110C4×Dic53C2412yes—
1111C4×Dic53C2412yes—
1112C4×Dic53C2412yes—
1113C4×Dic53C2412yes—
1114C4×Dic53C2412yes—
1115C4×Dic53C2412yes—
1116C4×Dic53C2412yes—
1117C4×Dic53C2412yes—
1118C4×Dic53C2414yes—
1119C4×Dic53C2414yes—
1120C4×Dic53C2414yes—
1121C23×C53C2511yescharacteristic
1122C23×C53C2514yes—
1123C23×C53C2512yes—
1124C22×D53—22no—
1125C22×D53—28no—
1126C22×D53—41no—
1127C22×D53—41no—
1128C22×D53—44no—
1129C22×D53—44no—
1130C22×D53—44no—
1131C22×D53—44no—
1132C22×D53—44no—
1133C22×D53—44no—
1134C22×D53—44no—
1135C22×D53—44no—
1136C22×D53C2512yes—
1137C22×D53C2511yescharacteristic
1138C22×D53C2512yes—
1139C22×D53C2514yes—
1140C22×D53C2512yes—
1141C22×D53C2511yescharacteristic
1142Q8×C53—24no—
1143Q8×C53—22no—
1144Q8×C53—22no—
1145Q8×C53—22no—
1146Q8×C53—44no—
1147Q8×C53—42no—
1148D4×C53—24no—
1149D4×C53—24no—
1150D4×C53—22no—
1151D4×C53—44no—
1152D4×C53—44no—
1153D4×C53—42no—
1154D4×C53—44no—
1155D4×C53—42no—
1156C2×C4×C53—22no—
1157C2×C4×C53—24no—
1158C2×C4×C53—22no—
1159C2×C4×C53—44no—
1160C2×C4×C53—41no—
1161C2×C4×C53—44no—
1162C2×C4×C53—44no—
1163C2×C4×C53—44no—
1164C2×C4×C53C2512yes—
1165C2×C4×C53C2511yescharacteristic
1166C2×C4×C53C2514yes—
1167C2×C4×C53C2512yes—
1168C2×C4×C53C2512yes—
1169C2×C4×C53C2511yescharacteristic
1170C2×C4×C53C2512yes—
1171C2×C4×C53C2512yes—
1172C2×C4×C53C2512yes—
1173C2×C4×C53C2511yescharacteristic
1174C2×C4×C53C2511yescharacteristic
1175C2×C4×C53C2512yes—
1176C2×C4×C53C2511yescharacteristic
1177C2×C4×C53C2511yescharacteristic
1178C22⋊D53—24no—
1179C22⋊D53—24no—
1180C22⋊D53—28no—
1181C22⋊D53—28no—
1182C22⋊D53—24no—
1183C22⋊D53—44no—
1184C22⋊D53—44no—
1185C22⋊D53—44no—
1186C22⋊D53—44no—
1187C22⋊D53—44no—
1188C22⋊D53—42no—
1189C22⋊D53—42no—
1190C22⋊D53—44no—
1191C22⋊D53—44no—
1192C22⋊D53—44no—
1193C22⋊D53—42no—
1194C22⋊D53—42no—
1195C22⋊D53—44no—
1196C2×Dic53—22no—
1197C2×Dic53—22no—
1198C2×Dic53—44no—
1199C2×Dic53—41no—
1200C2×Dic53—42no—
1201C2×Dic53—44no—
1202C2×Dic53—42no—
1203C2×Dic53C2512yes—
1204C2×Dic53C2514yes—
1205C2×Dic53C2512yes—
1206C2×Dic53C2512yes—
1207C2×Dic53C2512yes—
1208C2×Dic53C2512yes—
1209C2×Dic53C2511yescharacteristic
1210C2×Dic53C2511yescharacteristic
1211C2×Dic53C2511yescharacteristic
1212C2×Dic53C2511yescharacteristic
1213C2×Dic53C2511yescharacteristic
1214C2×Dic53C2511yescharacteristic
1215D212—24no—
1216D212—24no—
1217D212—24no—
1218D212—22no—
1219D212—24no—
1220D212—22no—
1221D212—24no—
1222D212—22no—
1223D212—44no—
1224D212—44no—
1225D212—44no—
1226D212—42no—
1227D212—44no—
1228D212—44no—
1229D212—42no—
1230D212—44no—
1231D212—42no—
1232D212—42no—
1233D212—42no—
1234D212—42no—
1235D212—44no—
1236C4×D53—22no—
1237C4×D53—28no—
1238C4×D53—22no—
1239C4×D53—24no—
1240C4×D53—22no—
1241C4×D53—22no—
1242C4×D53—24no—
1243C4×D53—24no—
1244C4×D53—22no—
1245C4×D53—24no—
1246C4×D53—24no—
1247C4×D53—22no—
1248C4×D53—22no—
1249C4×D53—24no—
1250C4×D53—24no—
1251C4×D53—41no—
1252C4×D53—41no—
1253C4×D53—41no—
1254C4×D53—41no—
1255C4×D53—44no—
1256C4×D53—44no—
1257C4×D53—44no—
1258C4×D53—44no—
1259C4×D53—44no—
1260C4×D53—44no—
1261C4×D53—44no—
1262C4×D53—42no—
1263C4×D53—44no—
1264C4×D53—42no—
1265C4×D53H(5,𝔽2)14yes—
1266Dic106—24no—
1267Dic106—22no—
1268Dic106—24no—
1269Dic106—28no—
1270Dic106—24no—
1271Dic106—42no—
1272Dic106—44no—
1273#62836—531nomaximal, Sylow
1274C22×C53—21no—
1275C22×C53—24no—
1276C22×C53—22no—
1277C22×C53—21no—
1278C22×C53—22no—
1279C22×C53—21no—
1280C22×C53—24no—
1281C22×C53—22no—
1282C22×C53—24no—
1283C22×C53C2611yescharacteristic
1284C2×D53—21no—
1285C2×D53—21no—
1286C2×D53—21no—
1287C2×D53—22no—
1288C2×D53—22no—
1289C2×D53—22no—
1290C2×D53—24no—
1291C2×D53—21no—
1292C2×D53—21no—
1293C2×D53—22no—
1294C2×D53—22no—
1295C2×D53—22no—
1296C2×D53—22no—
1297C2×D53—24no—
1298C2×D53—22no—
1299C2×D53—24no—
1300C2×D53—22no—
1301C2×D53—44no—
1302C2×D53—88no—
1303C2×D53—164no—
1304C2×D53—164no—
1305C2×D53C2×H(5,𝔽2)12yes—
1306C4×C53—24no—
1307C4×C53—22no—
1308C4×C53—22no—
1309C4×C53—21no—
1310C4×C53—22no—
1311C4×C53—22no—
1312C4×C53—21no—
1313C4×C53—22no—
1314C4×C53—21no—
1315C4×C53—21no—
1316C4×C53—22no—
1317C4×C53—22no—
1318C4×C53C2×H(5,𝔽2)12yes—
1319C4×C53#58512yes—
1320Dic53—24no—
1321Dic53—22no—
1322Dic53—21no—
1323Dic53—22no—
1324Dic53—22no—
1325Dic53—22no—
1326Dic53—22no—
1327Dic53—21no—
1328Dic53—21no—
1329Dic53—21no—
1330Dic53C2×H(5,𝔽2)12yes—
1331Dic53#58512yes—
1332#3562—534no—
1333#3562—534no—
1334#3554—532no—
1335#3554—531no—
1336#3554D5311yescharacteristic, complemented
1337#3546—532no—
1338#3546—531no—
1339#3546—531no—
1340#3542—534no—
1341#3542—532no—
1342#3542—532no—
1343#3517—531no—
1344#3517—531no—
1345#3517—532no—
1346#3514—531no—
1347#3514—531no—
1348#3514—532no—
1349#3513—532no—
1350#3513—532no—
1351#3513—534no—
1352#3511—532no—
1353#3511—532no—
1354#3510—532no—
1355#3509—531no—
1356#3508—531no—
1357#3508—532no—
1358#3508—532no—
1359#3500—532no—
1360#3499—531no—
1361#3498—531no—
1362#3487—532no—
1363#3485—532no—
1364#3444—531no—
1365#3444—531no—
1366C2×#532—531no—
1367C2×C53—41no—
1368C2×C53—44no—
1369C2×C53—42no—
1370C2×C53C22×H(5,𝔽2)11yescharacteristic
1371C2×C53C2×#58511yescharacteristic
1372C2×C53C2×#58511yescharacteristic
1373D53—22no—
1374D53—42no—
1375D53—41no—
1376D53—44no—
1377D53—42no—
1378D53—42no—
1379C2×2−1+4—532no—
1380C2×H(5,𝔽2)—532no—
1381C22×#41—532no—
1382#562—534no—
1383#562—534no—
1384#562—534no—
1385#562C2×D5314yescomplemented
1386#560—534no—
1387#560—534no—
1388#560—534no—
1389#560—534no—
1390#559—534no—
1391#559—532no—
1392#559—534no—
1393#559—534no—
1394#559—532no—
1395#559—531no—
1396#559C2×D5312yescomplemented
1397#559C2×D5311yescharacteristic, complemented
1398#557—532no—
1399#557—531no—
1400#557C2×D5311yescharacteristic, complemented
1401#556—531no—
1402#556—534no—
1403#556—534no—
1404#556—532no—
1405#556—531no—
1406#555—532no—
1407#555—534no—
1408#555—532no—
1409#554—534no—
1410#554—532no—
1411#554C2×D5312yescomplemented
1412#553—534no—
1413#553—532no—
1414#553—532no—
1415#553—534no—
1416#553—534no—
1417#553—534no—
1418#553—534no—
1419#553—532no—
1420#553—532no—
1421#553—534no—
1422#552—534no—
1423#552—532no—
1424#552—532no—
1425#551—534no—
1426#551—534no—
1427#551—534no—
1428#551—534no—
1429#551—534no—
1430#551—534no—
1431#551—534no—
1432#551—534no—
1433#550—532no—
1434#550—532no—
1435#550—532no—
1436#550—531no—
1437#550—534no—
1438#550—532no—
1439#550—534no—
1440#550—532no—
1441#550—531no—
1442#550—532no—
1443#550—531no—
1444#550—534no—
1445#550—532no—
1446#550—532no—
1447#550C2×D5311yescharacteristic, complemented
1448D4×Q8—532no—
1449D4×Q8—531no—
1450D4×Q8C2×D5311yescharacteristic, complemented
1451#548—532no—
1452#548—534no—
1453#548—532no—
1454#548—534no—
1455#548—532no—
1456#548—534no—
1457#548—534no—
1458#548C2×D5312yescomplemented
1459#547—532no—
1460#547—532no—
1461#547—532no—
1462#547—531no—
1463#547—534no—
1464#547—532no—
1465#547—534no—
1466#547—532no—
1467#547—532no—
1468#547—531no—
1469#547—534no—
1470#547C2×D5312yescomplemented
1471#546—532no—
1472#546—532no—
1473#546—532no—
1474#546—532no—
1475#546—534no—
1476#546—534no—
1477#546—534no—
1478#546—534no—
1479#546—534no—
1480#546—534no—
1481#546—534no—
1482#546—532no—
1483#546—534no—
1484#546—534no—
1485#546—534no—
1486#546—534no—
1487#546—532no—
1488#546—532no—
1489#546—532no—
1490#546—532no—
1491#546—532no—
1492D42—532no—
1493D42—531no—
1494D42—534no—
1495D42—532no—
1496D42—532no—
1497D42—531no—
1498#542—532no—
1499#542—532no—
1500#542—532no—
1501#542—532no—
1502#542—534no—
1503#542—534no—
1504#542—532no—
1505#542—532no—
1506#542C2×D5312yescomplemented
1507#542C2×D5312yescomplemented
1508#541—534no—
1509#540—532no—
1510#540—532no—
1511#540—534no—
1512#540—534no—
1513#540—534no—
1514#540—534no—
1515#540—534no—
1516#540—534no—
1517#540—534no—
1518#540—532no—
1519#540C2×D5312yescomplemented
1520#539—534no—
1521#539—534no—
1522#539—534no—
1523#539C2×D5314yescomplemented
1524#538—534no—
1525#538—534no—
1526#538—534no—
1527#538—534no—
1528#538—534no—
1529#538—534no—
1530#538—534no—
1531#538—534no—
1532#537—532no—
1533#537—534no—
1534#537—532no—
1535#536—532no—
1536#536—532no—
1537#536—532no—
1538#536—534no—
1539#536C2×D5312yescomplemented
1540#535—532no—
1541#535—534no—
1542#535—532no—
1543#535—534no—
1544#535—532no—
1545#535—534no—
1546#535—534no—
1547#535—532no—
1548#535—532no—
1549#535—532no—
1550#534—534no—
1551#534—534no—
1552#533—531no—
1553#533—531no—
1554#533—531no—
1555#533—532no—
1556#533—531no—
1557#533—531no—
1558#533—532no—
1559#533C2×D5311yescharacteristic, complemented
1560#532—532no—
1561#532—532no—
1562#532—531no—
1563#532—531no—
1564#532—531no—
1565#532—532no—
1566#532—531no—
1567#532—532no—
1568#532—531no—
1569#532—532no—
1570#532—532no—
1571#532—532no—
1572#532—531no—
1573#532—532no—
1574#532—532no—
1575#532—531no—
1576#532—532no—
1577#532—532no—
1578#532—532no—
1579#532—531no—
1580#532—531no—
1581#532C2×D5311yescharacteristic, complemented
1582C2×C4⋊Q8—531no—
1583C2×C4⋊Q8—532no—
1584C2×#127—531no—
1585C2×#127—532no—
1586#529—532no—
1587#529—532no—
1588#529—532no—
1589#529—531no—
1590#529—532no—
1591#529—531no—
1592#529—532no—
1593#529—531no—
1594#529—531no—
1595#529—532no—
1596#529—532no—
1597#529—532no—
1598#529—532no—
1599#529—531no—
1600#529—531no—
1601#529—532no—
1602#529—532no—
1603#529—532no—
1604#529—531no—
1605#529C2×D5311yescharacteristic, complemented
1606C2×#124—532no—
1607C2×#124—532no—
1608C2×#124—532no—
1609#525—532no—
1610#525—531no—
1611#525—531no—
1612#525—532no—
1613#525—531no—
1614#525—534no—
1615#525—531no—
1616#525—532no—
1617#525—534no—
1618#525—532no—
1619C2×#123—534no—
1620C2×#123—534no—
1621C2×#121—532no—
1622C2×#121—532no—
1623#520—532no—
1624#520—532no—
1625#520—534no—
1626#519—532no—
1627#518—532no—
1628#518—532no—
1629#518—534no—
1630#518—532no—
1631C4×#41—531no—
1632C4×#41—531no—
1633C4×#41—532no—
1634C4×#41—531no—
1635C4×#41—531no—
1636C4×#41—532no—
1637C4×#41—532no—
1638C4×#41—532no—
1639C2×C4×D4—532no—
1640C2×C4×D4—532no—
1641C22×C42—531no—
1642C53#6283611yescharacteristic, complemented, Sylow
16432−1+4—2128no—
1644H(5,𝔽2)—2128no—
1645C2×#41—531no—
1646C2×#41—531no—
1647C2×#41—532no—
1648C2×#41—531no—
1649C2×#41—532no—
1650C2×#41—534no—
1651C2×#41—532no—
1652C2×#41—532no—
1653C2×#41—532no—
1654C2×#41—532no—
1655C2×#41—531no—
1656C2×#41—532no—
1657C2×#41—534no—
1658C2×#41—532no—
1659C2×#41—532no—
1660C2×#41—532no—
1661C2×#41—534no—
1662C2×#41—534no—
1663C2×#41—534no—
1664C2×#41—532no—
1665C2×#41—534no—
1666C2×#41—532no—
1667C2×#41—534no—
1668C2×#41—2128no—
1669C2×#41C22×D5312yes—
1670C2×#41C22×D5312yes—
1671C22×Q8—532no—
1672C22×Q8—532no—
1673C22×Q8—534no—
1674C22×Q8C22×D5312yes—
1675C22×D4—532no—
1676C22×D4—532no—
1677C22×D4—532no—
1678C22×D4—534no—
1679C22×D4—532no—
1680C22×D4—532no—
1681C22×D4—534no—
1682C22×D4—534no—
1683C22×D4—532no—
1684C22×D4—534no—
1685C22×D4—534no—
1686C22×D4—532no—
1687C23×C4—531no—
1688C23×C4—534no—
1689C23×C4—531no—
1690C23×C4—531no—
1691C4⋊Q8—532no—
1692C4⋊Q8—534no—
1693C4⋊Q8—531no—
1694C4⋊Q8—532no—
1695C4⋊Q8—532no—
1696C4⋊Q8—531no—
1697C4⋊Q8—532no—
1698C4⋊Q8—534no—
1699C4⋊Q8—531no—
1700C4⋊Q8—531no—
1701C4⋊Q8—532no—
1702C4⋊Q8—531no—
1703C4⋊Q8C22×D5311yescharacteristic
1704C4⋊Q8C22×D5312yes—
1705C4⋊Q8C22×D5311yescharacteristic
1706C4⋊Q8C22×D5311yescharacteristic
1707C4⋊Q8C22×D5312yes—
1708#127—532no—
1709#127—531no—
1710#127—532no—
1711#127—532no—
1712#127—534no—
1713#127—534no—
1714#127—532no—
1715#127—534no—
1716#127—534no—
1717#127—534no—
1718#127—531no—
1719#127—532no—
1720#127—531no—
1721#127—532no—
1722#127—534no—
1723#127C22×D5311yescharacteristic
1724#127C22×D5312yes—
1725#126—532no—
1726#126—532no—
1727#126—532no—
1728#126—532no—
1729#126—532no—
1730#126—534no—
1731#126—534no—
1732#126—534no—
1733#126—534no—
1734#126—534no—
1735#126—534no—
1736#126—534no—
1737#126—532no—
1738#126—534no—
1739#126—534no—
1740#126—534no—
1741#126—532no—
1742#126—534no—
1743#126C22×D5312yes—
1744#126C22×D5314yes—
1745#125—531no—
1746#125—531no—
1747#125—532no—
1748#125—532no—
1749#125—532no—
1750#125—534no—
1751#125—534no—
1752#125—534no—
1753#125—534no—
1754#125—531no—
1755#125—532no—
1756#125C22×D5312yes—
1757#125C22×D5311yescharacteristic
1758#125C22×D5312yes—
1759#125C22×D5314yes—
1760#124—531no—
1761#124—532no—
1762#124—532no—
1763#124—532no—
1764#124—534no—
1765#124—534no—
1766#124—531no—
1767#124—532no—
1768#124—534no—
1769#124—534no—
1770#124—532no—
1771#124—534no—
1772#124—534no—
1773#124—534no—
1774#124—534no—
1775#124—532no—
1776#124—532no—
1777#124—534no—
1778#124—534no—
1779#124—534no—
1780#124—534no—
1781#124—534no—
1782#124—534no—
1783#124—534no—
1784#124—532no—
1785#124—532no—
1786#124—532no—
1787#124—531no—
1788#124—532no—
1789#124C22×D5312yes—
1790#124C22×D5312yes—
1791#124C22×D5311yescharacteristic
1792#124C22×D5312yes—
1793#124C22×D5314yes—
1794#124C22×D5314yes—
1795#123—534no—
1796#123—534no—
1797#123—534no—
1798#123—532no—
1799#123—534no—
1800#123—532no—
1801#123—532no—
1802#123—534no—
1803#123—534no—
1804#123—534no—
1805#123—534no—
1806#123—534no—
1807#123—534no—
1808#123—534no—
1809#123—532no—
1810#123—532no—
1811#123—532no—
1812#123—532no—
1813#123—534no—
1814#123—534no—
1815#123—534no—
1816#123—534no—
1817#123—534no—
1818#123—534no—
1819#123—534no—
1820#123—534no—
1821#123—532no—
1822#123—534no—
1823#123—534no—
1824#123—532no—
1825#123—532no—
1826#123—532no—
1827#123—534no—
1828#123—534no—
1829#123—534no—
1830#123—534no—
1831#123—534no—
1832#123—534no—
1833#123—534no—
1834#123—534no—
1835#123—534no—
1836#123C22×D5314yes—
1837#123C22×D5312yes—
1838#123C22×D5314yes—
1839#123C22×D5314yes—
1840#123C22×D5314yes—
1841#123C22×D5314yes—
1842#123C22×D5314yes—
1843C22⋊Q8—531no—
1844C22⋊Q8—531no—
1845C22⋊Q8—531no—
1846C22⋊Q8—532no—
1847C22⋊Q8—534no—
1848C22⋊Q8—532no—
1849C22⋊Q8—532no—
1850C22⋊Q8—534no—
1851C22⋊Q8—534no—
1852C22⋊Q8—531no—
1853C22⋊Q8—532no—
1854C22⋊Q8—534no—
1855C22⋊Q8—532no—
1856C22⋊Q8—532no—
1857C22⋊Q8—531no—
1858C22⋊Q8—532no—
1859C22⋊Q8—532no—
1860C22⋊Q8—532no—
1861C22⋊Q8—534no—
1862C22⋊Q8—532no—
1863C22⋊Q8—534no—
1864C22⋊Q8—534no—
1865C22⋊Q8—534no—
1866C22⋊Q8—532no—
1867C22⋊Q8—534no—
1868C22⋊Q8—534no—
1869C22⋊Q8—534no—
1870C22⋊Q8—534no—
1871C22⋊Q8—532no—
1872C22⋊Q8—534no—
1873C22⋊Q8—534no—
1874C22⋊Q8C22×D5311yescharacteristic
1875C22⋊Q8C22×D5311yescharacteristic
1876C22⋊Q8C22×D5312yes—
1877C22⋊Q8C22×D5311yescharacteristic
1878C22⋊Q8C22×D5314yes—
1879C22⋊Q8C22×D5312yes—
1880C22⋊Q8C22×D5314yes—
1881C22⋊Q8C22×D5314yes—
1882C22⋊Q8C22×D5314yes—
1883C22⋊Q8C22×D5314yes—
1884#121—532no—
1885#121—534no—
1886#121—532no—
1887#121—534no—
1888#121—531no—
1889#121—532no—
1890#121—534no—
1891#121—532no—
1892#121—532no—
1893#121—532no—
1894#121—532no—
1895#121—534no—
1896#121—534no—
1897#121—534no—
1898#121—534no—
1899#121—534no—
1900#121—534no—
1901#121—534no—
1902#121—532no—
1903#121—532no—
1904#121—531no—
1905#121—531no—
1906#121—531no—
1907#121—532no—
1908#121—534no—
1909#121—532no—
1910#121—534no—
1911#121—534no—
1912#121—534no—
1913#121—534no—
1914#121—532no—
1915#121—532no—
1916#121—531no—
1917#121—531no—
1918#121—532no—
1919#121—532no—
1920#121—531no—
1921#121—532no—
1922#121—534no—
1923#121—532no—
1924#121—532no—
1925#121—532no—
1926#121—532no—
1927#121—534no—
1928#121—534no—
1929#121—534no—
1930#121—534no—
1931#121—534no—
1932#121—534no—
1933#121—534no—
1934#121—534no—
1935#121—534no—
1936#121—534no—
1937#121—534no—
1938#121—532no—
1939#121—532no—
1940#121—532no—
1941#121—534no—
1942#121—534no—
1943#121—534no—
1944#121—534no—
1945#121—534no—
1946#121—534no—
1947#121—534no—
1948#121—534no—
1949#121—534no—
1950#121—534no—
1951#121—534no—
1952#121—534no—
1953#121—534no—
1954#121—534no—
1955#121—534no—
1956#121C22×D5312yes—
1957#121C22×D5312yes—
1958#121C22×D5311yescharacteristic
1959#121C22×D5312yes—
1960#121C22×D5314yes—
1961#121C22×D5314yes—
1962#121C22×D5314yes—
1963#120—532no—
1964#120—534no—
1965#120—534no—
1966#120—534no—
1967#120—534no—
1968#120—534no—
1969#120—532no—
1970#120—532no—
1971#120—532no—
1972#120—534no—
1973#120—534no—
1974#120—534no—
1975#120—534no—
1976#120—534no—
1977#120—534no—
1978#120—534no—
1979#120—534no—
1980#120—534no—
1981#120—534no—
1982#120—534no—
1983C4×Q8—531no—
1984C4×Q8—531no—
1985C4×Q8—531no—
1986C4×Q8—532no—
1987C4×Q8—532no—
1988C4×Q8—532no—
1989C4×Q8—531no—
1990C4×Q8—532no—
1991C4×Q8—532no—
1992C4×Q8—532no—
1993C4×Q8—532no—
1994C4×Q8—532no—
1995C4×Q8—534no—
1996C4×Q8—534no—
1997C4×Q8—532no—
1998C4×Q8—531no—
1999C4×Q8—532no—
2000C4×Q8—534no—
2001C4×Q8—532no—
2002C4×Q8C22×D5311yescharacteristic
2003C4×Q8C22×D5311yescharacteristic
2004C4×Q8C22×D5312yes—
2005C4×Q8C22×D5311yescharacteristic
2006C4×Q8C22×D5312yes—
2007C4×Q8C22×D5312yes—
2008C4×D4—532no—
2009C4×D4—532no—
2010C4×D4—531no—
2011C4×D4—532no—
2012C4×D4—534no—
2013C4×D4—532no—
2014C4×D4—534no—
2015C4×D4—534no—
2016C4×D4—532no—
2017C4×D4—532no—
2018C4×D4—532no—
2019C4×D4—534no—
2020C4×D4—534no—
2021C4×D4—534no—
2022C4×D4—534no—
2023C4×D4—534no—
2024C4×D4—534no—
2025C4×D4—534no—
2026C4×D4—534no—
2027C4×D4—532no—
2028C4×D4—532no—
2029C4×D4—531no—
2030C4×D4—532no—
2031C4×D4—532no—
2032C4×D4—532no—
2033C4×D4—532no—
2034C4×D4—532no—
2035C4×D4—532no—
2036C4×D4—532no—
2037C4×D4—531no—
2038C4×D4—532no—
2039C4×D4—532no—
2040C4×D4—532no—
2041C4×D4—531no—
2042C4×D4—534no—
2043C4×D4—532no—
2044C4×D4—534no—
2045C4×D4—534no—
2046C4×D4—534no—
2047C4×D4—534no—
2048C4×D4—534no—
2049C4×D4—532no—
2050C4×D4—532no—
2051C4×D4—532no—
2052C4×D4—532no—
2053C4×D4—532no—
2054C4×D4—532no—
2055C4×D4—532no—
2056C4×D4—532no—
2057C4×D4—532no—
2058C4×D4—532no—
2059C4×D4—532no—
2060C4×D4—534no—
2061C4×D4—534no—
2062C4×D4—534no—
2063C4×D4—534no—
2064C4×D4—534no—
2065C4×D4—532no—
2066C4×D4—532no—
2067C4×D4—532no—
2068C4×D4—532no—
2069C4×D4—532no—
2070C4×D4—532no—
2071C4×D4—532no—
2072C4×D4—531no—
2073C4×D4—531no—
2074C4×D4—532no—
2075C4×D4—531no—
2076C4×D4—534no—
2077C4×D4—532no—
2078C4×D4—532no—
2079C4×D4—532no—
2080C4×D4—534no—
2081C4×D4—532no—
2082C4×D4C22×D5312yes—
2083C4×D4C22×D5312yes—
2084C4×D4C22×D5312yes—
2085C4×D4C22×D5311yescharacteristic
2086C4×D4C22×D5314yes—
2087C4×D4C22×D5312yes—
2088C4×D4C22×D5312yes—
2089C4×D4C22×D5312yes—
2090C4×D4C22×D5312yes—
2091#117—534no—
2092#117—531no—
2093#117—532no—
2094#117—531no—
2095#117—532no—
2096#117—532no—
2097#117—531no—
2098#117—531no—
2099#117—532no—
2100#117—532no—
2101#117—532no—
2102#117—532no—
2103#117—532no—
2104#117—532no—
2105#117—534no—
2106#117—534no—
2107#117—532no—
2108#117—532no—
2109#117—532no—
2110#117—534no—
2111#117—532no—
2112#117—532no—
2113#117—532no—
2114#117—532no—
2115#117—534no—
2116#117—534no—
2117#117—534no—
2118#117C22×D5312yes—
2119#117C22×D5312yes—
2120C2×C4⋊C4—534no—
2121C2×C4⋊C4—532no—
2122C2×C4⋊C4—532no—
2123C2×C4⋊C4—534no—
2124C2×C4⋊C4—534no—
2125C2×C4⋊C4—534no—
2126C2×C4⋊C4—532no—
2127C2×C4⋊C4—532no—
2128C2×C4⋊C4C22×D5314yes—
2129C2×C22⋊C4—534no—
2130C2×C22⋊C4—534no—
2131C2×C22⋊C4—534no—
2132C2×C22⋊C4—534no—
2133C2×C22⋊C4—534no—
2134C2×C22⋊C4—534no—
2135C2×C22⋊C4—534no—
2136C2×C22⋊C4—534no—
2137C2×C22⋊C4—534no—
2138C2×C22⋊C4—534no—
2139C2×C22⋊C4—534no—
2140C2×C22⋊C4—534no—
2141C2×C42—532no—
2142C2×C42—531no—
2143C2×C42—531no—
2144C2×C42—531no—
2145C2×C42—531no—
2146C2×C42—531no—
2147C2×C42—532no—
2148C2×C42—532no—
2149C2×C42—532no—
2150C2×C42—531no—
2151C2×C42—531no—
2152C2×C42—531no—
2153C2×C42—531no—
2154C2×C42—531no—
2155C2×C42—531no—
2156C2×C42C22×D5311yescharacteristic
2157C24—534no—
2158C24—531no—
2159C24—534no—
2160C24—534no—
2161#41—44no—
2162#41—44no—
2163#41—1068no—
2164#41—1064no—
2165#41—1064no—
2166#41—2124no—
2167#41—2124no—
2168#41—2124no—
2169#41—2128no—
2170#41—2128no—
2171#41—2128no—
2172#41—2128no—
2173#41—2128no—
2174#41—2124no—
2175#41—2122no—
2176#41—2124no—
2177#41—2124no—
2178#41—2124no—
2179#41—2128no—
2180#41—2128no—
2181#41—2122no—
2182#41—2124no—
2183#41—2124no—
2184#41—2124no—
2185#41—2124no—
2186C2×Q8—44no—
2187C2×Q8—532no—
2188C2×Q8—531no—
2189C2×Q8—532no—
2190C2×Q8—534no—
2191C2×Q8—532no—
2192C2×Q8—532no—
2193C2×Q8—534no—
2194C2×Q8—1068no—
2195C2×Q8—2124no—
2196C2×Q8—2128no—
2197C2×Q8C23×D5311yescharacteristic
2198C2×Q8C23×D5311yescharacteristic
2199C2×Q8C23×D5312yes—
2200C2×Q8C23×D5311yescharacteristic
2201C2×Q8C23×D5312yes—
2202C2×Q8C23×D5314yes—
2203C2×D4—534no—
2204C2×D4—532no—
2205C2×D4—532no—
2206C2×D4—534no—
2207C2×D4—532no—
2208C2×D4—532no—
2209C2×D4—532no—
2210C2×D4—532no—
2211C2×D4—534no—
2212C2×D4—534no—
2213C2×D4—534no—
2214C2×D4—534no—
2215C2×D4—534no—
2216C2×D4—532no—
2217C2×D4—534no—
2218C2×D4—534no—
2219C2×D4—534no—
2220C2×D4—534no—
2221C2×D4—532no—
2222C2×D4—531no—
2223C2×D4—532no—
2224C2×D4—532no—
2225C2×D4—532no—
2226C2×D4—531no—
2227C2×D4—532no—
2228C2×D4—531no—
2229C2×D4—532no—
2230C2×D4—532no—
2231C2×D4—532no—
2232C2×D4—532no—
2233C2×D4—534no—
2234C2×D4—534no—
2235C2×D4—532no—
2236C2×D4—534no—
2237C2×D4—532no—
2238C2×D4—534no—
2239C2×D4—534no—
2240C2×D4—534no—
2241C2×D4—534no—
2242C2×D4—1068no—
2243C2×D4—2124no—
2244C2×D4—2128no—
2245C2×D4—2124no—
2246C2×D4—2124no—
2247C2×D4—2124no—
2248C2×D4—2124no—
2249C2×D4—2124no—
2250C2×D4—2128no—
2251C2×D4—2128no—
2252C2×D4—2128no—
2253C2×D4—2128no—
2254C2×D4C23×D5312yes—
2255C2×D4C23×D5311yescharacteristic
2256C2×D4C23×D5312yes—
2257C2×D4C23×D5312yes—
2258C2×D4C23×D5312yes—
2259C2×D4C23×D5314yes—
2260C2×D4C23×D5314yes—
2261C2×D4C23×D5314yes—
2262C22×C4—531no—
2263C22×C4—531no—
2264C22×C4—531no—
2265C22×C4—531no—
2266C22×C4—532no—
2267C22×C4—532no—
2268C22×C4—534no—
2269C22×C4—534no—
2270C22×C4—531no—
2271C22×C4—531no—
2272C22×C4—531no—
2273C22×C4—531no—
2274C22×C4—531no—
2275C22×C4—531no—
2276C22×C4—531no—
2277C22×C4—532no—
2278C22×C4—532no—
2279C22×C4—532no—
2280C22×C4—532no—
2281C22×C4—532no—
2282C22×C4—532no—
2283C22×C4—532no—
2284C22×C4—534no—
2285C22×C4—531no—
2286C22×C4—531no—
2287C22×C4—531no—
2288C22×C4—531no—
2289C22×C4—532no—
2290C22×C4—532no—
2291C22×C4—534no—
2292C22×C4—534no—
2293C22×C4—534no—
2294C22×C4—534no—
2295C22×C4—534no—
2296C22×C4—534no—
2297C22×C4—534no—
2298C22×C4—534no—
2299C22×C4—1064no—
2300C22×C4—2122no—
2301C22×C4—2122no—
2302C22×C4—2128no—
2303C22×C4C23×D5311yescharacteristic
2304C22×C4C23×D5311yescharacteristic
2305C22×C4C23×D5312yes—
2306C22×C4C23×D5311yescharacteristic
2307C22×C4C23×D5314yes—
2308C22×C4C23×D5314yes—
2309C22×C4C23×D5314yes—
2310C22×C4C23×D5314yes—
2311C4⋊C4—532no—
2312C4⋊C4—532no—
2313C4⋊C4—534no—
2314C4⋊C4—532no—
2315C4⋊C4—531no—
2316C4⋊C4—532no—
2317C4⋊C4—532no—
2318C4⋊C4—532no—
2319C4⋊C4—534no—
2320C4⋊C4—534no—
2321C4⋊C4—534no—
2322C4⋊C4—534no—
2323C4⋊C4—532no—
2324C4⋊C4—534no—
2325C4⋊C4—534no—
2326C4⋊C4—532no—
2327C4⋊C4—532no—
2328C4⋊C4—532no—
2329C4⋊C4—531no—
2330C4⋊C4—531no—
2331C4⋊C4—532no—
2332C4⋊C4—532no—
2333C4⋊C4—532no—
2334C4⋊C4—532no—
2335C4⋊C4—532no—
2336C4⋊C4—531no—
2337C4⋊C4—532no—
2338C4⋊C4—532no—
2339C4⋊C4—532no—
2340C4⋊C4—532no—
2341C4⋊C4—532no—
2342C4⋊C4—532no—
2343C4⋊C4—532no—
2344C4⋊C4—532no—
2345C4⋊C4—534no—
2346C4⋊C4—534no—
2347C4⋊C4—534no—
2348C4⋊C4C23×D5312yes—
2349C4⋊C4C23×D5312yes—
2350C4⋊C4C23×D5311yescharacteristic
2351C4⋊C4C23×D5314yes—
2352C4⋊C4C23×D5312yes—
2353C4⋊C4C23×D5314yes—
2354C4⋊C4C23×D5312yes—
2355C4⋊C4C23×D5314yes—
2356C4⋊C4C23×D5311yescharacteristic
2357C4⋊C4C23×D5311yescharacteristic
2358C4⋊C4C23×D5312yes—
2359C4⋊C4C23×D5311yescharacteristic
2360C4⋊C4C23×D5312yes—
2361C4⋊C4C23×D5312yes—
2362C4⋊C4C23×D5312yes—
2363C4⋊C4C23×D5312yes—
2364C4⋊C4C23×D5314yes—
2365C4⋊C4C23×D5312yes—
2366C4⋊C4C23×D5312yes—
2367C4⋊C4C23×D5312yes—
2368C4⋊C4C23×D5312yes—
2369C22⋊C4—532no—
2370C22⋊C4—534no—
2371C22⋊C4—534no—
2372C22⋊C4—534no—
2373C22⋊C4—534no—
2374C22⋊C4—534no—
2375C22⋊C4—532no—
2376C22⋊C4—532no—
2377C22⋊C4—532no—
2378C22⋊C4—532no—
2379C22⋊C4—532no—
2380C22⋊C4—532no—
2381C22⋊C4—532no—
2382C22⋊C4—532no—
2383C22⋊C4—532no—
2384C22⋊C4—532no—
2385C22⋊C4—532no—
2386C22⋊C4—534no—
2387C22⋊C4—534no—
2388C22⋊C4—534no—
2389C22⋊C4—534no—
2390C22⋊C4—534no—
2391C22⋊C4—534no—
2392C22⋊C4—534no—
2393C22⋊C4—534no—
2394C22⋊C4—534no—
2395C22⋊C4—534no—
2396C22⋊C4—534no—
2397C22⋊C4—534no—
2398C22⋊C4—534no—
2399C22⋊C4—534no—
2400C22⋊C4—532no—
2401C22⋊C4—532no—
2402C22⋊C4—532no—
2403C22⋊C4—532no—
2404C22⋊C4—532no—
2405C22⋊C4—532no—
2406C22⋊C4—532no—
2407C22⋊C4—534no—
2408C22⋊C4—534no—
2409C22⋊C4—532no—
2410C22⋊C4—532no—
2411C22⋊C4—532no—
2412C22⋊C4—532no—
2413C22⋊C4—532no—
2414C22⋊C4—532no—
2415C22⋊C4—532no—
2416C22⋊C4—532no—
2417C22⋊C4—532no—
2418C22⋊C4—532no—
2419C22⋊C4C23×D5312yes—
2420C22⋊C4C23×D5314yes—
2421C22⋊C4C23×D5314yes—
2422C22⋊C4C23×D5314yes—
2423C22⋊C4C23×D5314yes—
2424C22⋊C4C23×D5314yes—
2425C22⋊C4C23×D5314yes—
2426C22⋊C4C23×D5314yes—
2427C22⋊C4C23×D5312yes—
2428C22⋊C4C23×D5312yes—
2429C22⋊C4C23×D5312yes—
2430C22⋊C4C23×D5312yes—
2431C22⋊C4C23×D5312yes—
2432C22⋊C4C23×D5312yes—
2433C42—531no—
2434C42—531no—
2435C42—531no—
2436C42—531no—
2437C42—531no—
2438C42—531no—
2439C42—531no—
2440C42—531no—
2441C42—531no—
2442C42—531no—
2443C42—531no—
2444C42—531no—
2445C42—532no—
2446C42—532no—
2447C42—532no—
2448C42—532no—
2449C42—532no—
2450C42—532no—
2451C42—532no—
2452C42—532no—
2453C42—532no—
2454C42—534no—
2455C42—534no—
2456C42—534no—
2457C42C23×D5311yescharacteristic
2458C42C23×D5311yescharacteristic
2459C42C23×D5311yescharacteristic
2460C42C23×D5311yescharacteristic
2461C42C23×D5312yes—
2462C42C23×D5312yes—
2463C42C23×D5312yes—
2464C42C23×D5314yes—
2465C23—531no—
2466C23—532no—
2467C23—532no—
2468C23—534no—
2469C23—531no—
2470C23—532no—
2471C23—1068no—
2472C23—1062no—
2473C23—2124no—
2474C23—2124no—
2475C23—2124no—
2476C23—2124no—
2477C23—2124no—
2478C23—2124no—
2479C23—2124no—
2480C23—2124no—
2481C23—2121no—
2482C23—2121no—
2483C23C24×D5312yes—
2484C23C24×D5314yes—
2485C23C24×D5311yescharacteristic
2486Q8—22no—
2487Q8—24no—
2488Q8—22no—
2489Q8—22no—
2490Q8—44no—
2491Q8—42no—
2492Q8—1068no—
2493Q8—1064no—
2494Q8—1064no—
2495Q8—1064no—
2496Q8—1062no—
2497Q8—2124no—
2498Q8—2122no—
2499D4—24no—
2500D4—22no—
2501D4—24no—
2502D4—44no—
2503D4—42no—
2504D4—44no—
2505D4—44no—
2506D4—42no—
2507D4—1064no—
2508D4—1064no—
2509D4—1064no—
2510D4—1068no—
2511D4—1064no—
2512D4—1068no—
2513D4—1064no—
2514D4—1064no—
2515D4—1064no—
2516D4—1062no—
2517D4—1062no—
2518D4—1062no—
2519D4—1064no—
2520D4—2122no—
2521D4—2124no—
2522D4—2124no—
2523D4—2124no—
2524D4—2124no—
2525D4—2122no—
2526D4—2124no—
2527D4—2122no—
2528D4—2122no—
2529D4—2122no—
2530D4—2122no—
2531D4—2124no—
2532D4—2124no—
2533D4—2124no—
2534D4—2124no—
2535D4—2124no—
2536D4—2124no—
2537D4—2124no—
2538D4—2124no—
2539D4—2122no—
2540D4—2124no—
2541D4—2122no—
2542D4—2122no—
2543D4—2122no—
2544D4—2124no—
2545D4—2124no—
2546C2×C4—22no—
2547C2×C4—24no—
2548C2×C4—22no—
2549C2×C4—41no—
2550C2×C4—44no—
2551C2×C4—44no—
2552C2×C4—44no—
2553C2×C4—44no—
2554C2×C4—531no—
2555C2×C4—531no—
2556C2×C4—534no—
2557C2×C4—531no—
2558C2×C4—531no—
2559C2×C4—532no—
2560C2×C4—532no—
2561C2×C4—532no—
2562C2×C4—531no—
2563C2×C4—531no—
2564C2×C4—532no—
2565C2×C4—532no—
2566C2×C4—534no—
2567C2×C4—1062no—
2568C2×C4—1062no—
2569C2×C4—1062no—
2570C2×C4—1064no—
2571C2×C4—1064no—
2572C2×C4—1064no—
2573C2×C4—1064no—
2574C2×C4—1062no—
2575C2×C4—1068no—
2576C2×C4—1062no—
2577C2×C4—1062no—
2578C2×C4—1062no—
2579C2×C4—1064no—
2580C2×C4—1062no—
2581C2×C4—1062no—
2582C2×C4—1064no—
2583C2×C4—1064no—
2584C2×C4—2121no—
2585C2×C4—2121no—
2586C2×C4—2121no—
2587C2×C4—2121no—
2588C2×C4—2124no—
2589C2×C4—2124no—
2590C2×C4—2124no—
2591C2×C4—2124no—
2592C2×C4—2124no—
2593C2×C4—2124no—
2594C2×C4—2124no—
2595C2×C4—2122no—
2596C2×C4—2122no—
2597C2×C4—2124no—
2598C2×C4—2121no—
2599C2×C4—2124no—
2600C2×C4—2122no—
2601C2×C4—2122no—
2602C2×C4—2124no—
2603C2×C4C24×D5312yes—
2604C2×C4C24×D5312yes—
2605C2×C4C24×D5311yescharacteristic
2606C2×C4C24×D5311yescharacteristic
2607C2×C4C24×D5311yescharacteristic
2608C2×C4C24×D5311yescharacteristic
2609C2×C4C24×D5312yes—
2610C2×C4C24×D5312yes—
2611C2×C4C24×D5312yes—
2612C2×C4C24×D5312yes—
2613C2×C4C24×D5314yes—
2614C2×C4C24×D5312yes—
2615C2×C4C24×D5311yescharacteristic
2616C2×C4C24×D5311yescharacteristic
2617C22—22no—
2618C22—21no—
2619C22—24no—
2620C22—21no—
2621C22—24no—
2622C22—22no—
2623C22—21no—
2624C22—22no—
2625C22—24no—
2626C22—532no—
2627C22—8484no—
2628C22—8484no—
2629C22—1061no—
2630C22—1061no—
2631C22—1061no—
2632C22—1062no—
2633C22—1062no—
2634C22—1062no—
2635C22—1064no—
2636C22—1061no—
2637C22—1062no—
2638C22—1062no—
2639C22—1062no—
2640C22—1064no—
2641C22—1061no—
2642C22—1062no—
2643C22—1062no—
2644C22—1062no—
2645C22—1064no—
2646C22—4248no—
2647C22—2124no—
2648C22C25×D5311yescharacteristic
2649C4—21no—
2650C4—22no—
2651C4—22no—
2652C4—24no—
2653C4—22no—
2654C4—22no—
2655C4—22no—
2656C4—21no—
2657C4—21no—
2658C4—22no—
2659C4—21no—
2660C4—22no—
2661C4—532no—
2662C4—532no—
2663C4—1061no—
2664C4—1062no—
2665C4—1064no—
2666C4—1061no—
2667C4—1062no—
2668C4—1061no—
2669C4—1062no—
2670C4—1061no—
2671C4—1062no—
2672C4—1062no—
2673C4H(5,𝔽2)×D5312yes—
2674C4#1681146012yes—
2675C2—42no—
2676C2—44no—
2677C2—41no—
2678C2—1062no—
2679C2—2122no—
2680C2—2122no—
2681C2—2124no—
2682C2—2121no—
2683C2—2122no—
2684C2C2×H(5,𝔽2)×D5311yescharacteristic
2685C2#585×D5311yescharacteristic
2686C2C2×#1681146011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3554C2
hypercenter#3554D53
hypocenterC53#62836
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3554

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #20289300C2semidirect
2. #20289298C2semidirect
3. #20289186C2semidirect
4. #20289175C2semidirect
5. #20289089C2semidirect
6. #20289084C2semidirect
7. #20289081C2semidirect
8. #20289037C2semidirect
9. #20289028C2semidirect
10. #20289027C2semidirect
11. #20288722C2semidirect
12. #20288720C2semidirect
13. #20288718C2semidirect
14. #20288677C2semidirect
15. #20288675C2semidirect
16. #20288669C2semidirect
17. #20288658C2semidirect
18. #20288654C2semidirect
19. #20288645C2semidirect
20. #20288623C2semidirect
21. #20288620C2semidirect
22. #20288607C2semidirect
23. #20288598C2semidirect
24. #20288588C2semidirect
25. #20288588C2semidirect
26. #20288587C2semidirect
27. #20288504C2semidirect
28. #20288499C2semidirect
29. #20288492C2semidirect
30. #20288372C2semidirect
31. #20288354C2semidirect
32. #20288012C2semidirect
33. #20288009C2semidirect
34. #532×D53C2semidirect
35. C53×#3554C2semidirect
36. C2×#13133265C22semidirect
38. C2×#41×D53C22semidirect
39. #16811370C22semidirect
40. #16811369C22semidirect
41. #16811369C22semidirect
42. #16811364C22semidirect
43. #16811363C22semidirect
44. #16811363C22semidirect
45. #16811361C22semidirect
46. #16811358C22semidirect
47. #16811358C22semidirect
48. #16811357C22semidirect
49. #16811357C22semidirect
50. #16811355C22semidirect
51. #16811355C22semidirect
52. #16811351C22semidirect
53. #16811348C22semidirect
54. #16811347C22semidirect
55. #16811346C22semidirect
56. #16811345C22semidirect
57. #16811344C22semidirect
58. #16811340C22semidirect
59. #16811339C22semidirect
60. #16811338C22semidirect
61. #16811335C22semidirect
62. #16811333C22semidirect
63. #16811327C22semidirect
64. #16811326C22semidirect
65. #16811326C22semidirect
66. #16811326C22semidirect
67. #16811324C22semidirect
68. #16811323C22semidirect
69. #16811323C22semidirect
70. #16811321C22semidirect
71. #16811318C22semidirect
72. #16811318C22semidirect
73. #16811316C22semidirect
74. #16811314C22semidirect
75. #16811311C22semidirect
76. #16811305C22semidirect
77. #16811303C22semidirect
78. #16811302C22semidirect
79. #16811300C22semidirect
80. #16811300C22semidirect
81. #16811300C22semidirect
82. #16811298C22semidirect
83. #16811296C22semidirect
84. #16811296C22semidirect
85. #16811295C22semidirect
86. #16811295C22semidirect
87. #16811295C22semidirect
88. #16811295C22semidirect
89. #16811294C22semidirect
90. #16811294C22semidirect
91. #16811294C22semidirect
92. #16811293C22semidirect
93. #16811293C22semidirect
94. #16811292C22semidirect
95. #16811292C22semidirect
96. #16811291C22semidirect
97. #16811291C22semidirect
98. #16811291C22semidirect
99. Q8×D212C22semidirect
100. Q8×C22⋊D53C22semidirect
101. #16811284C22semidirect
102. #16811283C22semidirect
103. #16811283C22semidirect
104. #16811283C22semidirect
105. #16811283C22semidirect
106. #16811281C22semidirect
107. #16811281C22semidirect
108. #16811278C22semidirect
109. #16811278C22semidirect
110. #16811276C22semidirect
111. #16811276C22semidirect
112. #16811276C22semidirect
113. #16811275C22semidirect
114. #16811275C22semidirect
115. #16811275C22semidirect
116. #16811274C22semidirect
117. #16811272C22semidirect
118. #16811271C22semidirect
119. #16811269C22semidirect
120. #16811268C22semidirect
121. #16811268C22semidirect
122. #16811268C22semidirect
123. #16811268C22semidirect
124. #16811266C22semidirect
125. #16811266C22semidirect
126. #16811266C22semidirect
127. #16811265C22semidirect
128. #16811265C22semidirect
129. #16811265C22semidirect
130. #16811265C22semidirect
131. #16811265C22semidirect
132. #16811265C22semidirect
133. #16811265C22semidirect
134. #16811264C22semidirect
135. #16811264C22semidirect
136. #16811264C22semidirect
137. #16811262C22semidirect
138. #16811262C22semidirect
139. #16811261C22semidirect
141. D4×D212C22semidirect
143. #16811258C22semidirect
145. #16811257C22semidirect
146. #16811247C22semidirect
147. #16811247C22semidirect
148. #16811244C22semidirect
149. #16811244C22semidirect
150. #16811243C22semidirect
151. #16811243C22semidirect
152. #16811242C22semidirect
153. #16811242C22semidirect
154. #16811232C22semidirect
155. #16811229C22semidirect
156. #16811229C22semidirect
157. #16811228C22semidirect
158. #16811227C22semidirect
159. #16811226C22semidirect
160. #16811225C22semidirect
161. #16811225C22semidirect
162. #16811225C22semidirect
163. #16811225C22semidirect
164. #16811223C22semidirect
165. #16811222C22semidirect
166. #16811221C22semidirect
167. #16811216C22semidirect
168. #16811213C22semidirect
169. #16811213C22semidirect
170. #16811212C22semidirect
171. #16811210C22semidirect
172. #16811209C22semidirect
173. #16811207C22semidirect
174. #16811207C22semidirect
175. #16811206C22semidirect
176. #16811203C22semidirect
177. #16811203C22semidirect
178. #16811202C22semidirect
180. #16811198C22semidirect
181. #16811196C22semidirect
182. #16811196C22semidirect
183. #16811192C22semidirect
184. #16811191C22semidirect
185. #16811191C22semidirect
186. #16811191C22semidirect
187. #16811191C22semidirect
189. #16811189C22semidirect
190. #16811189C22semidirect
191. #16811189C22semidirect
192. #16811189C22semidirect
193. #16811184C22semidirect
194. #16811181C22semidirect
195. #16811179C22semidirect
196. #16811179C22semidirect
197. #16811178C22semidirect
198. #16811178C22semidirect
199. #16811177C22semidirect
200. #16811177C22semidirect
201. #16811175C22semidirect
203. #16811174C22semidirect
204. #16811174C22semidirect
205. #16811174C22semidirect
206. #16811173C22semidirect
207. #16811173C22semidirect
208. #16811172C22semidirect
209. #16811172C22semidirect
210. #16811172C22semidirect
211. #16811171C22semidirect
213. #16811170C22semidirect
214. #16811170C22semidirect
215. #16811170C22semidirect
216. #16811170C22semidirect
217. #16811170C22semidirect
218. #16811169C22semidirect
219. #16811169C22semidirect
220. #16811168C22semidirect
221. #16811168C22semidirect
222. #16811168C22semidirect
223. C4⋊Q8×D53C22semidirect
224. C4⋊Q8×D53C22semidirect
226. #127×D53C22semidirect
227. #16811160C22semidirect
228. #16811160C22semidirect
229. #16811160C22semidirect
230. #16811160C22semidirect
231. #16811159C22semidirect
232. #16811159C22semidirect
233. #16811159C22semidirect
234. #16811159C22semidirect
235. #16811158C22semidirect
236. #16811158C22semidirect
237. #16811158C22semidirect
238. #16811157C22semidirect
239. #16811156C22semidirect
240. #16811156C22semidirect
241. #16811155C22semidirect
242. #16811154C22semidirect
243. #16811152C22semidirect
244. #16811151C22semidirect
245. #16811150C22semidirect
246. C2×#13133206C22semidirect
247. #124×D53C22semidirect
248. #124×D53C22semidirect
250. #16811136C22semidirect
251. #16811136C22semidirect
252. #16811136C22semidirect
253. #16811136C22semidirect
254. #16811135C22semidirect
255. #16811133C22semidirect
256. #16811132C22semidirect
257. #16811132C22semidirect
258. #16811131C22semidirect
259. C2×#13133202C22semidirect
260. #123×D53C22semidirect
261. #121×D53C22semidirect
262. #121×D53C22semidirect
263. #16811105C22semidirect
264. #16811104C22semidirect
265. #16811102C22semidirect
266. #16811099C22semidirect
267. #16811095C22semidirect
268. #16811095C22semidirect
269. #16811095C22semidirect
270. #16811095C22semidirect
272. C4×#11719949C22semidirect
273. C4×#11719949C22semidirect
274. C4×#11719949C22semidirect
275. #16811091C22semidirect
276. #16811091C22semidirect
277. C4×#11719947C22semidirect
278. C4×#11719947C22semidirect
279. C4×D4×D53C22semidirect
280. C4×D4×D53C22semidirect
281. C2×C42×D53C22semidirect
282. C53×#562C22semidirect
283. C53×#559C22semidirect
284. C53×#559C22semidirect
285. C53×#557C22semidirect
286. C53×#554C22semidirect
287. C53×#550C22semidirect
288. D4×Q8×C53C22semidirect
289. C53×#548C22semidirect
290. C53×#547C22semidirect
291. C53×#542C22semidirect
292. C53×#542C22semidirect
293. C53×#540C22semidirect
294. C53×#539C22semidirect
295. C53×#536C22semidirect
296. C53×#533C22semidirect
297. C53×#532C22semidirect
298. C53×#529C22semidirect
1336. #3554D53semidirect
1385. #562C2×D53semidirect
1396. #559C2×D53semidirect
1397. #559C2×D53semidirect
1400. #557C2×D53semidirect
1411. #554C2×D53semidirect
1447. #550C2×D53semidirect
1450. D4×Q8C2×D53semidirect
1458. #548C2×D53semidirect
1470. #547C2×D53semidirect
1506. #542C2×D53semidirect
1507. #542C2×D53semidirect
1519. #540C2×D53semidirect
1523. #539C2×D53semidirect
1539. #536C2×D53semidirect
1559. #533C2×D53semidirect
1581. #532C2×D53semidirect
1605. #529C2×D53semidirect
1642. C53#62836semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#202893002
#202892982
#202891862
#202891752
#202890892
#202890842
#202890812
#202890372
#202890282
#202890272
#202887222
#202887202
#202887182
#202886772
#202886752
#202886692
#202886582
#202886542
#202886452
#202886232
#202886202
#202886072
#202885982
#202885882
#202885872
#202885042
#202884992
#202884922
#202883722
#202883542
#202880122
#202880092
#532×D532
C53×#35542
#6283653