Finite Group Databasebeta

← #28293232

Subgroups — #28293232

Order 13568.

7086 conjugacy classes of subgroups.

The subgroup lattice has 2690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288634C212yesmaximal, complemented
2#20288633C212yesmaximal, complemented
3#20288633C212yesmaximal, complemented
4#20288630C212yesmaximal, complemented
5#20288625C212yesmaximal, complemented
6#20288620C212yesmaximal, complemented
7#20288616C212yesmaximal, complemented
8#20288615C212yesmaximal, complemented
9#20288546C214yesmaximal, complemented
10#20288542C214yesmaximal, complemented
11#20288470C211yesmaximal, characteristic, complemented
12#20288469C211yesmaximal, characteristic, complemented
13#20288468C211yesmaximal, characteristic, complemented
14#20288467C211yesmaximal, characteristic, complemented
15#20288454C214yesmaximal, complemented
16#20288447C211yesmaximal, characteristic, complemented
17#20288444C211yesmaximal, characteristic, complemented
18#20288440C211yesmaximal, characteristic, complemented
19#20288437C214yesmaximal, complemented
20#20288431C212yesmaximal, complemented
21#20288426C212yesmaximal, complemented
22#20288419C212yesmaximal, complemented
23#20288417C212yesmaximal, complemented
24#20288141C212yesmaximal, complemented
25#20288140C212yesmaximal, complemented
26#20288130C212yesmaximal, complemented
27#20288129C212yesmaximal, complemented
28#544×D53C211yesmaximal, characteristic, complemented
29#20288046C211yesmaximal, characteristic, complemented
30#20288045C211yesmaximal, characteristic, complemented
31C2×#16811202C211yesmaximal, characteristic, complemented
32#20287916C211yesmaximal, characteristic, complemented
33#20287913C211yesmaximal, characteristic, complemented
34#520×D53C211yesmaximal, characteristic, complemented
35C53×#3494C211yesmaximal, characteristic, complemented
36C22×#11719945C2211yescharacteristic
37C22×#11719947C2211yescharacteristic
38C2×#41×D53C2211yescharacteristic
39#16811347C2212yescomplemented
40#16811343C2212yescomplemented
41#16811342C2214yescomplemented
42#16811341C2212yescomplemented
43#16811341C2212yescomplemented
44#16811340C2214yescomplemented
45#16811338C2212yescomplemented
46#16811337C2214yescomplemented
47#16811337C2212yescomplemented
48#16811337C2212yescomplemented
49#16811335C2214yescomplemented
50#16811334C2212yescomplemented
51#16811332C2214yescomplemented
52#16811330C2212yescomplemented
53#16811328C2212yescomplemented
54#16811328C2212yescomplemented
55#16811327C2214yescomplemented
56#16811325C2212yescomplemented
57#16811325C2212yescomplemented
58#16811324C2214yescomplemented
59#16811324C2214yescomplemented
60#16811323C2214yescomplemented
61#16811323C2214yescomplemented
62#16811323C2212yescomplemented
63#16811323C2212yescomplemented
64#16811322C2214yescomplemented
65#16811320C2214yescomplemented
66#16811320C2214yescomplemented
67#16811320C2214yescomplemented
68#16811320C2212yescomplemented
69#16811320C2212yescomplemented
70#16811318C2214yescomplemented
71#16811318C2214yescomplemented
72#16811318C2214yescomplemented
73#16811318C2214yescomplemented
74#16811318C2214yescomplemented
75#16811317C2214yescomplemented
76#16811316C2214yescomplemented
77#16811316C2214yescomplemented
78#16811315C2214yescomplemented
79#16811313C2214yescomplemented
80#16811313C2212yescomplemented
81#16811313C2212yescomplemented
82#16811312C2212yescomplemented
83#16811312C2212yescomplemented
84#16811311C2212yescomplemented
85#16811311C2212yescomplemented
86#16811310C2214yescomplemented
87#16811310C2214yescomplemented
88#16811310C2214yescomplemented
89#16811309C2214yescomplemented
90#16811308C2212yescomplemented
91#16811308C2212yescomplemented
92#16811306C2214yescomplemented
93#16811306C2214yescomplemented
94#16811304C2214yescomplemented
95#16811304C2214yescomplemented
96#16811302C2214yescomplemented
97#16811300C2214yescomplemented
98#16811299C2214yescomplemented
99#16811299C2214yescomplemented
100#16811299C2214yescomplemented
101#16811283C2214yescomplemented
102#16811281C2214yescomplemented
103#16811281C2214yescomplemented
104#16811280C2214yescomplemented
105#16811278C2212yescomplemented
106#16811273C2212yescomplemented
107#16811273C2212yescomplemented
108#16811272C2214yescomplemented
109#16811271C2214yescomplemented
110#16811267C2214yescomplemented
111#16811263C2214yescomplemented
112#16811260C2214yescomplemented
113#16811254C2211yescharacteristic, complemented
114#16811253C2212yescomplemented
115#16811253C2212yescomplemented
116#16811252C2214yescomplemented
117#16811251C2211yescharacteristic, complemented
118#16811251C2211yescharacteristic, complemented
119#16811250C2212yescomplemented
120#16811250C2212yescomplemented
121#16811247C2212yescomplemented
122#16811244C2212yescomplemented
123#16811242C2212yescomplemented
124#16811241C2214yescomplemented
125#16811241C2214yescomplemented
126#16811240C2212yescomplemented
127#16811240C2212yescomplemented
128#16811238C2212yescomplemented
129#16811238C2212yescomplemented
130#16811237C2214yescomplemented
131#16811237C2214yescomplemented
132#16811236C2212yescomplemented
133#16811235C2212yescomplemented
134#16811233C2212yescomplemented
135#16811231C2212yescomplemented
136#16811230C2214yescomplemented
137#16811230C2214yescomplemented
138#16811227C2212yescomplemented
139#16811226C2212yescomplemented
140#16811224C2212yescomplemented
141#16811223C2214yescomplemented
142#16811223C2214yescomplemented
143#16811219C2214yescomplemented
144#16811216C2214yescomplemented
145#16811216C2214yescomplemented
146#16811214C2214yescomplemented
147#16811209C2214yescomplemented
148#16811207C2214yescomplemented
149#16811205C2214yescomplemented
150#16811205C2214yescomplemented
151#16811203C2211yescharacteristic, complemented
152#16811203C2211yescharacteristic, complemented
153#16811202C2212yes—
154#16811202C2212yes—
155#16811202C2212yes—
156#16811202C2212yes—
157#16811202C2212yescomplemented
158#16811202C2212yescomplemented
159#16811202C2212yescomplemented
160#16811202C2212yescomplemented
161#16811202C2211yescharacteristic, complemented
162#16811202C2211yescharacteristic, complemented
163#16811202C2212yescomplemented
164#16811202C2212yescomplemented
165#16811199C2211yescharacteristic
166#16811196C2211yescharacteristic, complemented
167#16811196C2211yescharacteristic, complemented
168#16811195C2212yes—
169#16811194C2211yescharacteristic
170#16811193C2212yescomplemented
171#16811190C2211yescharacteristic
172#16811189C2211yescharacteristic, complemented
173#16811189C2211yescharacteristic, complemented
174#16811188C2212yes—
175#16811186C2212yescomplemented
176#16811184C2212yes—
177#16811183C2212yes—
178#16811183C2214yes—
179#16811180C2212yescomplemented
180#16811178C2212yescomplemented
181#16811177C2212yescomplemented
182#16811176C2214yescomplemented
183#16811175C2212yescomplemented
184#16811175C2214yescomplemented
185#16811172C2212yescomplemented
186#16811171C2212yescomplemented
187#16811171C2212yescomplemented
188#16811170C2212yescomplemented
189#16811170C2212yescomplemented
190#16811170C2212yescomplemented
191#16811169C2214yescomplemented
192#16811168C2214yescomplemented
193#16811168C2212yescomplemented
194C4⋊Q8×D53C2212yescomplemented
195C4⋊Q8×D53C2212yescomplemented
196#16811158C2212yescomplemented
197#16811157C2212yescomplemented
198#16811156C2214yescomplemented
199#16811155C2214yescomplemented
200#16811155C2212yescomplemented
201#16811155C2212yescomplemented
202#16811154C2212yescomplemented
203#16811154C2212yescomplemented
204#16811153C2214yescomplemented
205#16811153C2214yescomplemented
206#16811152C2214yescomplemented
207#16811152C2212yescomplemented
208#16811151C2214yescomplemented
209#16811150C2214yescomplemented
210#16811150C2214yescomplemented
211#125×D53C2212yescomplemented
212#125×D53C2212yescomplemented
213#16811135C2211yescharacteristic
214#16811134C2211yescharacteristic
215#16811133C2214yescomplemented
216#16811133C2212yescomplemented
217#16811133C2212yescomplemented
218#16811132C2214yescomplemented
219#16811132C2212yescomplemented
220#16811132C2212yescomplemented
221#16811131C2214yescomplemented
222#16811130C2211yescharacteristic
223#16811130C2214yescomplemented
224#16811129C2214yes—
225C2×#13133197C2211yescharacteristic, complemented
226C2×#13133196C2211yescharacteristic, complemented
227C2×#13133194C2212yescomplemented
228C22⋊Q8×D53C2214yes—
229C2×#13133190C2212yes—
230C2×#13133189C2212yescomplemented
231C2×#13133188C2212yes—
232C2×#13133188C2211yescharacteristic, complemented
233#16811106C2211yescharacteristic
234#16811105C2212yescomplemented
235#16811104C2211yescharacteristic
236#16811104C2211yescharacteristic, complemented
237#16811104C2212yescomplemented
238#16811104C2211yescharacteristic, complemented
239#16811104C2211yescharacteristic, complemented
240#16811104C2211yescharacteristic, complemented
241#16811103C2211yescharacteristic
242#16811103C2211yescharacteristic, complemented
243#16811103C2212yescomplemented
244#16811103C2211yescharacteristic, complemented
245#16811103C2211yescharacteristic, complemented
246#16811103C2211yescharacteristic, complemented
247#16811102C2214yes—
248#16811102C2212yescomplemented
249#16811102C2212yescomplemented
250#16811102C2212yescomplemented
251#16811102C2212yescomplemented
252#16811102C2212yescomplemented
253#16811100C2211yescharacteristic, complemented
254#16811100C2211yescharacteristic, complemented
255#16811100C2212yescomplemented
256#16811098C2211yescharacteristic, complemented
257#16811097C2212yes—
258#16811096C2212yes—
259#16811096C2214yes—
260#16811096C2212yescomplemented
261C4×#11719945C2212yescomplemented
262C4×#11719945C2212yescomplemented
263#16811091C2212yescomplemented
264#16811091C2212yescomplemented
265C4×#11719947C2212yescomplemented
266C4×#11719947C2212yescomplemented
267C4×#11719947C2212yescomplemented
268C4×#11719947C2212yescomplemented
269C4×Q8×D53C2212yescomplemented
270C4×D4×D53C2214yes—
271C4×D4×D53C2212yescomplemented
272C2×#13133176C2211yescharacteristic, complemented
273C2×#13133173C2214yescomplemented
274#117×D53C2211yescharacteristic
275#117×D53C2211yescharacteristic
276#117×D53C2211yescharacteristic
277#117×D53C2212yescomplemented
278#117×D53C2211yescharacteristic, complemented
279#117×D53C2211yescharacteristic, complemented
280C2×C4⋊C4×D53C2211yescharacteristic
281C2×C4⋊C4×D53C2212yescomplemented
282C53×#555C2212yescomplemented
283C53×#553C2212yescomplemented
284C53×#553C2212yescomplemented
285C53×#551C2214yescomplemented
286C53×#547C2212yescomplemented
287C53×#546C2214yescomplemented
288C53×#544C2211yescharacteristic, complemented
289C53×#542C2212yescomplemented
290C53×#540C2212yescomplemented
291C53×#535C2211yescharacteristic
292C53×#532C2212yescomplemented
293C53×#529C2212yescomplemented
294C53×#525C2211yescharacteristic
295C2×#121×C53C2211yescharacteristic, complemented
296C53×#520C2211yescharacteristic
297C53×#518C2211yescharacteristic, complemented
298C2×#117×C53C2211yescharacteristic, complemented
299C2×#11719949C2311yescharacteristic
300C2×#11719945—28no—
301C2×#11719945C2311yescharacteristic
302C2×#11719945C2311yescharacteristic
303C2×#11719945C2311yescharacteristic
304C2×#11719945C2311yescharacteristic
305C2×#11719945C2311yescharacteristic
306C2×#11719945C2311yescharacteristic
307C2×#11719945C2311yescharacteristic
308C2×#11719945C2312yes—
309C2×#11719945C2311yescharacteristic
310C2×#11719945C2311yescharacteristic
311C2×#11719945C2314yes—
312C2×#11719947—28no—
313C2×#11719947C2312yes—
314C2×#11719947C2312yes—
315C2×#11719947C2312yes—
316C2×#11719947C2312yes—
317C2×#11719947C2311yescharacteristic
318C2×#11719947C2312yes—
319C2×#11719947C2314yes—
320C2×#11719947C2314yes—
321#41×D53—28no—
322C22×Dic106C2311yescharacteristic
323C22×Dic106C2311yescharacteristic
324C2×Q8×D53C2311yescharacteristic
325C2×Q8×D53C2314yes—
326C22×D212C2311yescharacteristic
327C22×C22⋊D53C2311yescharacteristic
328C22×C22⋊D53C2312yes—
329C22×C22⋊D53C2311yescharacteristic
330C22×C22⋊D53C2312yes—
331C2×D4×D53C2312yes—
332C2×D4×D53C2311yescharacteristic
333C23×Dic53C2312yes—
334C22×C4×D53C2312yes—
335C22×C4×D53C2311yescharacteristic
336C22×C4×D53C2312yes—
337C22×C4×D53C2314yes—
338C22×C4×D53C2311yescharacteristic
339#13133217C2312yes—
340#13133217C2312yes—
341#13133217C2312yes—
342#13133216C2314yes—
343#13133216C2312yes—
344#13133216C2312yes—
345#13133216C2314yes—
346#13133216C2312yes—
347#13133216C2312yes—
348#13133216C2312yes—
349#13133216C2312yes—
350#13133215C2314yes—
351#13133215C2314yes—
352#13133215C2312yes—
353#13133213C2312yes—
354#13133213C2312yes—
355#13133213C2312yes—
356#13133212C2314yes—
357#13133212C2314yes—
358#13133212C2314yes—
359#13133212C2314yes—
360#13133212C2314yes—
361#13133212C2314yes—
362#13133211C2314yes—
363#13133211C2314yes—
364#13133210C2314yes—
365#13133210C2314yes—
366#13133210C2314yes—
367#13133210C2314yes—
368#13133210C2314yes—
369#13133210C2314yes—
370#13133210C2314yes—
371#13133210C2314yes—
372#13133210C2314yes—
373#13133210C2314yes—
374#13133210C2314yes—
375#13133210C2314yes—
376#13133210C2314yes—
377#13133210C2314yes—
378#13133209C2314yes—
379#13133209C2314yes—
380#13133209C2312yes—
381#13133209C2312yes—
382#13133208C2312yes—
383#13133208C2312yes—
384#13133208C2314yes—
385#13133208C2314yes—
386#13133208C2314yes—
387#13133208C2314yes—
388#13133208C2312yes—
389#13133208C2312yes—
390#13133207C2314yes—
391#13133207C2314yes—
392#13133207C2314yes—
393#13133207C2314yes—
394#13133207C2314yes—
395#13133207C2314yes—
396#13133207C2314yes—
397#13133207C2314yes—
398#13133207C2314yes—
399#13133207C2314yes—
400#13133206C2314yes—
401#13133205C2312yes—
402#13133204C2314yes—
403#13133204C2314yes—
404#13133204C2314yes—
405#13133204C2312yes—
406#13133204C2312yes—
407#13133203C2314yes—
408#13133203C2314yes—
409#13133203C2314yes—
410#13133203C2314yes—
411#13133203C2314yes—
412#13133203C2314yes—
413#13133203C2312yes—
414#13133203C2312yes—
415#13133203C2312yes—
416#13133203C2312yes—
417#13133202C2314yes—
418#13133202C2314yes—
419#13133202C2312yes—
420#13133202C2312yes—
421#13133201C2314yes—
422#13133201C2312yes—
423#13133201C2314yes—
424#13133201C2314yes—
425#13133200C2314yes—
426#13133200C2314yes—
427#13133200C2312yes—
428#13133200C2314yes—
429#13133200C2314yes—
430#13133199C2314yes—
431#13133199C2314yes—
432#13133199C2314yes—
433#13133199C2314yes—
434#13133199C2314yes—
435#13133199C2314yes—
436#13133199C2312yes—
437#13133199C2312yes—
438#13133199C2314yes—
439#13133199C2314yes—
440#13133198C2314yes—
441#13133198C2314yes—
442#13133198C2314yes—
443#13133198C2314yes—
444#13133198C2314yes—
445#13133198C2312yes—
446#13133198C2314yes—
447#13133198C2314yes—
448#13133197C2312yes—
449#13133197C2312yes—
450#13133197C2312yes—
451#13133197C2312yes—
452#13133197C2314yes—
453#13133197C2312yes—
454#13133197C2312yes—
455#13133197C2311yescharacteristic
456#13133197C2311yescharacteristic
457#13133196C2314yes—
458#13133196C2314yes—
459#13133196C2314yes—
460#13133196C2314yes—
461#13133196C2312yes—
462#13133196C2312yes—
463#13133196C2312yes—
464#13133196C2312yes—
465#13133196C2312yes—
466#13133196C2312yes—
467#13133196C2311yescharacteristic
468#13133196C2311yescharacteristic
469#13133195C2314yes—
470#13133195C2314yes—
471#13133195C2312yes—
472#13133195C2312yes—
473#13133195C2314yes—
474#13133195C2314yes—
475#13133194C2314yes—
476#13133194C2314yes—
477#13133194C2314yes—
478#13133194C2314yes—
479#13133194C2314yes—
480#13133194C2314yes—
481#13133194C2314yes—
482#13133194C2312yes—
483#13133194C2314yes—
484#13133194C2312yes—
485#13133194C2314yes—
486#13133194C2314yes—
487#13133194C2314yes—
488#13133194C2314yes—
489#13133193C2314yes—
490#13133193C2314yes—
491#13133193C2314yes—
492#13133193C2311yescharacteristic
493#13133193C2311yescharacteristic
494#13133192C2312yes—
495#13133192C2312yes—
496#13133192C2311yescharacteristic
497#13133192C2311yescharacteristic
498#13133191C2314yes—
499#13133191C2311yescharacteristic
500#13133191C2311yescharacteristic
501#13133190C2312yes—
502#13133190C2312yes—
503#13133190C2312yes—
504#13133190C2314yes—
505#13133190C2314yes—
506#13133190C2314yes—
507#13133190C2312yes—
508#13133190C2312yes—
509#13133190C2312yes—
510#13133190C2314yes—
511#13133190C2314yes—
512#13133190C2314yes—
513#13133190C2314yes—
514#13133190C2314yes—
515#13133189C2314yes—
516#13133189C2314yes—
517#13133189C2314yes—
518#13133189C2312yes—
519#13133189C2314yes—
520#13133189C2312yes—
521#13133189C2314yes—
522#13133189C2314yes—
523#13133189C2314yes—
524#13133189C2314yes—
525#13133189C2314yes—
526#13133189C2314yes—
527#13133188C2314yes—
528#13133188C2312yes—
529#13133188C2312yes—
530#13133188C2312yes—
531#13133188C2312yes—
532#13133188C2314yes—
533#13133188C2314yes—
534#13133188C2314yes—
535#13133188C2314yes—
536#13133188C2312yes—
537#13133188C2312yes—
538#13133188C2314yes—
539#13133188C2314yes—
540#13133188C2314yes—
541#13133188C2312yes—
542#13133188C2312yes—
543#13133188C2311yescharacteristic
544#13133188C2311yescharacteristic
545#13133187C2312yes—
546#13133187C2312yes—
547#13133187C2312yes—
548#13133186C2312yes—
549#13133186C2314yes—
550#13133185C2312yes—
551#13133185C2312yes—
552#13133185C2314yes—
553#13133185C2314yes—
554#13133185C2312yes—
555Q8×Dic53C2314yes—
556Q8×Dic53C2312yes—
557C4×Dic106C2314yes—
558C4×Dic106C2314yes—
559C4×Dic106C2312yes—
560C4×Dic106C2312yes—
561C4×Dic106C2312yes—
562C4×Dic106C2312yes—
563C4×Dic106C2314yes—
564C4×Dic106C2312yes—
565C4×Dic106C2312yes—
566C4×Dic106C2312yes—
567C4×Dic106C2312yes—
568C4×Dic106C2312yes—
569#13133182C2314yes—
570#13133182C2312yes—
571#13133182C2312yes—
572#13133182C2312yes—
573#13133182C2312yes—
574#13133182C2314yes—
575#13133182C2312yes—
576#13133182C2312yes—
577#13133182C2312yes—
578#13133182C2312yes—
579#13133182C2312yes—
580C4×D212C2312yes—
581C4×D212C2312yes—
582C4×D212C2314yes—
583C4×D212C2312yes—
584C4×D212C2312yes—
585C4×D212C2312yes—
586C4×D212C2312yes—
587C4×D212C2312yes—
588D4×Dic53C2314yes—
589D4×Dic53C2314yes—
590D4×Dic53C2312yes—
591D4×Dic53C2314yes—
592D4×Dic53C2314yes—
593D4×Dic53C2314yes—
594D4×Dic53C2314yes—
595D4×Dic53C2312yes—
596D4×Dic53C2312yes—
597D4×Dic53C2312yes—
598D4×Dic53C2312yes—
599#13133179C2312yes—
600#13133179C2314yes—
601#13133179C2314yes—
602#13133179C2312yes—
603#13133179C2312yes—
604#13133179C2312yes—
605#13133179C2312yes—
606C4×C22⋊D53C2314yes—
607C4×C22⋊D53C2312yes—
608C4×C22⋊D53C2312yes—
609C4×C22⋊D53C2312yes—
610C4×C22⋊D53C2312yes—
611C4×C22⋊D53C2314yes—
612C4×C22⋊D53C2314yes—
613C4×C22⋊D53C2314yes—
614C4×C22⋊D53C2314yes—
615C4×C22⋊D53C2314yes—
616C4×C22⋊D53C2312yes—
617C4×C22⋊D53C2312yes—
618C4×C22⋊D53C2314yes—
619C4×C22⋊D53C2314yes—
620C4×C22⋊D53C2312yes—
621C4×C22⋊D53C2312yes—
622C4×C22⋊D53C2314yes—
623C4×C22⋊D53C2314yes—
624C4×C22⋊D53C2314yes—
625C4×C22⋊D53C2312yes—
626C4×C22⋊D53C2312yes—
627C4×C22⋊D53C2312yes—
628C4×C22⋊D53C2312yes—
629#13133177C2312yes—
630#13133177C2314yes—
631#13133177C2312yes—
632#13133177C2314yes—
633#13133177C2314yes—
634#13133177C2314yes—
635#13133177C2314yes—
636#13133177C2314yes—
637#13133177C2312yes—
638#13133177C2312yes—
639#13133177C2314yes—
640#13133177C2314yes—
641#13133177C2314yes—
642#13133177C2314yes—
643#13133177C2314yes—
644#13133177C2312yes—
645#13133177C2312yes—
646#13133177C2312yes—
647#13133177C2312yes—
648#13133176C2312yes—
649#13133176C2314yes—
650#13133176C2314yes—
651#13133176C2314yes—
652#13133176C2311yescharacteristic
653#13133176C2312yes—
654#13133176C2311yescharacteristic
655#13133176C2311yescharacteristic
656#13133176C2311yescharacteristic
657#13133176C2311yescharacteristic
658#13133176C2312yes—
659#13133175C2314yes—
660#13133175C2311yescharacteristic
661#13133175C2312yes—
662#13133175C2314yes—
663#13133175C2311yescharacteristic
664#13133175C2312yes—
665#13133175C2311yescharacteristic
666#13133175C2311yescharacteristic
667#13133175C2311yescharacteristic
668#13133175C2311yescharacteristic
669#13133175C2311yescharacteristic
670#13133175C2311yescharacteristic
671#13133175C2311yescharacteristic
672#13133175C2311yescharacteristic
673#13133174C2314yes—
674#13133174C2314yes—
675#13133174C2314yes—
676#13133174C2312yes—
677#13133174C2312yes—
678#13133174C2312yes—
679#13133174C2312yes—
680#13133174C2312yes—
681#13133173C2312yes—
682#13133173C2314yes—
683#13133173C2314yes—
684#13133173C2314yes—
685#13133173C2312yes—
686#13133173C2314yes—
687#13133173C2314yes—
688#13133173C2314yes—
689#13133173C2314yes—
690#13133173C2314yes—
691#13133173C2312yes—
692#13133173C2312yes—
693#13133173C2312yes—
694#13133173C2314yes—
695#13133173C2314yes—
696#13133173C2314yes—
697C2×C4⋊Dic53C2311yescharacteristic
698C2×C4⋊Dic53C2312yes—
699C2×C4⋊Dic53C2312yes—
700C2×C4⋊Dic53C2311yescharacteristic
701C2×C4⋊Dic53C2311yescharacteristic
702C2×#11719919C2314yes—
703C2×#11719919C2314yes—
704C2×#11719919C2312yes—
705C2×#11719919C2314yes—
706C2×#11719919C2312yes—
707C4⋊C4×D53C2314yes—
708C4⋊C4×D53C2311yescharacteristic
709C4⋊C4×D53C2312yes—
710C4⋊C4×D53C2311yescharacteristic
711C4⋊C4×D53C2312yes—
712C4⋊C4×D53C2311yescharacteristic
713C4⋊C4×D53C2311yescharacteristic
714C4⋊C4×D53C2314yes—
715C4⋊C4×D53C2314yes—
716C4⋊C4×D53C2314yes—
717C4⋊C4×D53C2312yes—
718C4⋊C4×D53C2312yes—
719C4⋊C4×D53C2312yes—
720C4⋊C4×D53C2312yes—
721C4⋊C4×D53C2311yescharacteristic
722C4⋊C4×D53C2314yes—
723C4⋊C4×D53C2311yescharacteristic
724C4⋊C4×D53C2311yescharacteristic
725C4⋊C4×D53C2311yescharacteristic
726C4⋊C4×D53C2311yescharacteristic
727C4⋊C4×D53C2311yescharacteristic
728C2×C22⋊Dic53C2312yes—
729C2×C22⋊Dic53C2314yes—
730C2×C22⋊Dic53C2312yes—
731C2×C22⋊Dic53C2312yes—
732C2×#11719921C2312yes—
733C22⋊C4×D53C2312yes—
734C22⋊C4×D53C2312yes—
735C22⋊C4×D53C2312yes—
736C22⋊C4×D53C2312yes—
737C22⋊C4×D53C2312yes—
738C22⋊C4×D53C2314yes—
739C2×C4×Dic53C2314yes—
740C2×C4×Dic53C2314yes—
741C2×C4×Dic53C2312yes—
742C42×D53C2312yes—
743C42×D53C2312yes—
744C42×D53C2312yes—
745C42×D53C2314yes—
746C42×D53C2312yes—
747C42×D53C2312yes—
748C2×#41×C53C2311yescharacteristic
749C2×#41×C53C2314yes—
750C22×D4×C53C2311yescharacteristic
751C22×D4×C53C2312yes—
752C23×C4×C53C2311yescharacteristic
753C4⋊Q8×C53C2312yes—
754C4⋊Q8×C53C2312yes—
755#127×C53C2312yes—
756#126×C53C2314yes—
757#126×C53C2314yes—
758#125×C53C2312yes—
759#125×C53C2312yes—
760#124×C53C2314yes—
761#124×C53C2314yes—
762#124×C53C2312yes—
763#123×C53C2314yes—
764#123×C53C2312yes—
765#123×C53C2314yes—
766#123×C53C2314yes—
767#123×C53C2314yes—
768C22⋊Q8×C53C2314yes—
769C22⋊Q8×C53C2314yes—
770C22⋊Q8×C53C2311yescharacteristic
771C22⋊Q8×C53C2311yescharacteristic
772#121×C53C2312yes—
773#121×C53C2312yes—
774#121×C53C2312yes—
775#121×C53C2312yes—
776#121×C53C2312yes—
777#121×C53C2311yescharacteristic
778#121×C53C2311yescharacteristic
779#121×C53C2314yes—
780#121×C53C2312yes—
781#121×C53C2314yes—
782#121×C53C2314yes—
783#120×C53C2312yes—
784#120×C53C2314yes—
785C4×Q8×C53C2312yes—
786C4×D4×C53C2312yes—
787C4×D4×C53C2312yes—
788C4×D4×C53C2312yes—
789C4×D4×C53C2312yes—
790C4×D4×C53C2314yes—
791C4×D4×C53C2312yes—
792C4×D4×C53C2312yes—
793C4×D4×C53C2312yes—
794C4×D4×C53C2314yes—
795C4×D4×C53C2314yes—
796#117×C53C2311yescharacteristic
797#117×C53C2312yes—
798#117×C53C2311yescharacteristic
799#117×C53C2311yescharacteristic
800#117×C53C2312yes—
801#117×C53C2311yescharacteristic
802#117×C53C2311yescharacteristic
803#117×C53C2312yes—
804#117×C53C2314yes—
805C2×C4⋊C4×C53C2311yescharacteristic
806C2×C4⋊C4×C53C2311yescharacteristic
807C2×C4⋊C4×C53C2311yescharacteristic
808C2×C4⋊C4×C53C2312yes—
809C2×C22⋊C4×C53C2312yes—
810C2×C22⋊C4×C53C2314yes—
811C2×C22⋊C4×C53C2312yes—
812C2×C42×C53C2312yes—
813C24×C53C2412yes—
814C24×C53C2411yescharacteristic
815C23×D53C2411yescharacteristic
816C23×D53C2412yes—
817C23×D53C2411yescharacteristic
818#41×C53—24no—
819#41×C53—84no—
820C2×Q8×C53C2411yescharacteristic
821C2×Q8×C53C2414yes—
822C2×D4×C53—24no—
823C2×D4×C53—82no—
824C2×D4×C53C2412yes—
825C2×D4×C53C2412yes—
826C2×D4×C53C2412yes—
827C2×D4×C53C2411yescharacteristic
828C2×D4×C53C2412yes—
829C2×D4×C53C2414yes—
830C2×D4×C53C2412yes—
831C2×D4×C53C2414yes—
832C2×D4×C53C2414yes—
833C2×D4×C53C2414yes—
834C22×C4×C53—24no—
835C22×C4×C53C2411yescharacteristic
836C22×C4×C53C2411yescharacteristic
837C22×C4×C53C2411yescharacteristic
838C22×C4×C53C2412yes—
839C22×C4×C53C2411yescharacteristic
840C22×C4×C53C2411yescharacteristic
841C22×C4×C53C2412yes—
842C22×C4×C53C2412yes—
843C22×C4×C53C2412yes—
844C22×C4×C53C2414yes—
845C22×C4×C53C2414yes—
846C22×C4×C53C2414yes—
847C22×C4×C53C2411yescharacteristic
848C2×C22⋊D53—28no—
849C2×C22⋊D53—24no—
850C2×C22⋊D53—24no—
851C2×C22⋊D53—82no—
852C2×C22⋊D53C2411yescharacteristic
853C2×C22⋊D53C2411yescharacteristic
854C2×C22⋊D53C2411yescharacteristic
855C2×C22⋊D53C2411yescharacteristic
856C2×C22⋊D53C2414yes—
857C2×C22⋊D53C2412yes—
858C2×C22⋊D53C2412yes—
859C2×C22⋊D53C2414yes—
860C2×C22⋊D53C2412yes—
861C2×C22⋊D53C2411yescharacteristic
862C2×C22⋊D53C2411yescharacteristic
863C2×C22⋊D53C2411yescharacteristic
864C2×C22⋊D53C2411yescharacteristic
865C2×C22⋊D53C2414yes—
866C2×C22⋊D53C2414yes—
867C2×C22⋊D53C2414yes—
868C2×C22⋊D53C2412yes—
869C2×C22⋊D53C2412yes—
870C2×C22⋊D53C2412yes—
871C2×C22⋊D53C2412yes—
872C2×C22⋊D53C2414yes—
873C22×Dic53—28no—
874C22×Dic53C2414yes—
875C22×Dic53C2412yes—
876C22×Dic53C2411yescharacteristic
877C22×Dic53C2414yes—
878C22×Dic53C2412yes—
879C22×Dic53C2414yes—
880C22×Dic53C2414yes—
881C22×Dic53C2412yes—
882C22×Dic53C2412yes—
883C22×Dic53C2412yes—
884C22×Dic53C2414yes—
885C22×Dic53C2411yescharacteristic
886#11719949—24no—
887Q8×D53—24no—
888Q8×D53—84no—
889#11719947—28no—
890#11719947—24no—
891#11719947—28no—
892#11719947—28no—
893#11719947—28no—
894#11719947—28no—
895#11719947—84no—
896#11719947—84no—
897D4×D53—28no—
898D4×D53—24no—
899#11719945—24no—
900#11719945—28no—
901#11719945—24no—
902#11719945—24no—
903#11719945—24no—
904#11719945—24no—
905#11719945—24no—
906#11719945—24no—
907#11719945—24no—
908#11719945—24no—
909#11719945—84no—
910C2×D212—24no—
911C2×D212C2411yescharacteristic
912C2×D212C2411yescharacteristic
913C2×D212C2412yes—
914C2×D212C2411yescharacteristic
915C2×D212C2411yescharacteristic
916C2×D212C2411yescharacteristic
917C2×D212C2412yes—
918C2×D212C2412yes—
919C2×C4×D53—24no—
920C2×C4×D53—28no—
921C2×C4×D53—84no—
922C2×C4×D53—82no—
923C2×C4×D53#4118yescomplemented
924C2×C4×D53C2412yes—
925C2×C4×D53C2411yescharacteristic
926C2×C4×D53C2411yescharacteristic
927C2×C4×D53C2412yes—
928C2×C4×D53C2411yescharacteristic
929C2×C4×D53C2412yes—
930C2×C4×D53C2411yescharacteristic
931C2×C4×D53C2412yes—
932C2×C4×D53C2412yes—
933C2×C4×D53C2412yes—
934C2×C4×D53C2412yes—
935C2×C4×D53C2412yes—
936C2×C4×D53C2412yes—
937C2×C4×D53C2414yes—
938C2×C4×D53C2412yes—
939C2×C4×D53C2412yes—
940C2×C4×D53C2412yes—
941C2×C4×D53C2412yes—
942C2×C4×D53C2414yes—
943C2×C4×D53C2414yes—
944C2×C4×D53C2414yes—
945C2×C4×D53C2411yescharacteristic
946C2×C4×D53C2411yescharacteristic
947C2×C4×D53C2411yescharacteristic
948C2×C4×D53C2411yescharacteristic
949C2×Dic106—24no—
950C2×Dic106—24no—
951C2×Dic106C2411yescharacteristic
952C2×Dic106C2411yescharacteristic
953C2×Dic106C2412yes—
954C2×Dic106C2412yes—
955C2×Dic106C2411yescharacteristic
956C2×Dic106C2412yes—
957C2×Dic106C2411yescharacteristic
958C2×Dic106C2411yescharacteristic
959C2×Dic106C2414yes—
960C2×Dic106C2414yes—
961C2×Dic106C2414yes—
962C4⋊C4×C53C2411yescharacteristic
963C4⋊C4×C53C2412yes—
964C4⋊C4×C53C2411yescharacteristic
965C4⋊C4×C53C2411yescharacteristic
966C4⋊C4×C53C2411yescharacteristic
967C4⋊C4×C53C2412yes—
968C4⋊C4×C53C2412yes—
969C4⋊C4×C53C2412yes—
970C4⋊C4×C53C2414yes—
971C4⋊C4×C53C2412yes—
972C4⋊C4×C53C2411yescharacteristic
973C4⋊C4×C53C2411yescharacteristic
974C4⋊C4×C53C2414yes—
975C4⋊C4×C53C2414yes—
976C4⋊C4×C53C2414yes—
977C4⋊C4×C53C2412yes—
978C22⋊C4×C53C2412yes—
979C22⋊C4×C53C2412yes—
980C22⋊C4×C53C2412yes—
981C22⋊C4×C53C2412yes—
982C22⋊C4×C53C2412yes—
983C22⋊C4×C53C2414yes—
984C22⋊C4×C53C2414yes—
985C22⋊C4×C53C2414yes—
986C22⋊C4×C53C2414yes—
987C22⋊C4×C53C2414yes—
988C22⋊C4×C53C2414yes—
989C22⋊C4×C53C2412yes—
990C22⋊C4×C53C2412yes—
991C22⋊C4×C53C2414yes—
992C22⋊C4×C53C2412yes—
993C22⋊C4×C53C2412yes—
994C42×C53C2412yes—
995C42×C53C2412yes—
996C42×C53C2412yes—
997C42×C53C2412yes—
998C42×C53C2414yes—
999C42×C53C2412yes—
1000C22⋊Dic53C2412yes—
1001C22⋊Dic53C2412yes—
1002C22⋊Dic53C2412yes—
1003C22⋊Dic53C2414yes—
1004C22⋊Dic53C2414yes—
1005C22⋊Dic53C2414yes—
1006C22⋊Dic53C2414yes—
1007C22⋊Dic53C2414yes—
1008C22⋊Dic53C2412yes—
1009C22⋊Dic53C2412yes—
1010C22⋊Dic53C2414yes—
1011C22⋊Dic53C2414yes—
1012C22⋊Dic53C2414yes—
1013C22⋊Dic53C2414yes—
1014C22⋊Dic53C2412yes—
1015C22⋊Dic53C2412yes—
1016C22⋊Dic53C2412yes—
1017C22⋊Dic53C2414yes—
1018C22⋊Dic53C2414yes—
1019C22⋊Dic53C2412yes—
1020#11719921C2412yes—
1021#11719921C2412yes—
1022#11719921C2412yes—
1023#11719921C2412yes—
1024#11719921C2414yes—
1025#11719921C2412yes—
1026#11719921C2412yes—
1027#11719921C2412yes—
1028#11719921C2412yes—
1029#11719921C2412yes—
1030#11719921C2412yes—
1031#11719921C2414yes—
1032#11719921C2414yes—
1033#11719921C2414yes—
1034#11719921C2412yes—
1035#11719921C2412yes—
1036#11719921C2414yes—
1037#11719921C2412yes—
1038#11719921C2412yes—
1039#11719921C2412yes—
1040#11719921C2412yes—
1041#11719921C2414yes—
1042#11719921C2412yes—
1043#11719921C2412yes—
1044C4⋊Dic53C2411yescharacteristic
1045C4⋊Dic53C2412yes—
1046C4⋊Dic53C2411yescharacteristic
1047C4⋊Dic53C2411yescharacteristic
1048C4⋊Dic53C2411yescharacteristic
1049C4⋊Dic53C2412yes—
1050C4⋊Dic53C2414yes—
1051C4⋊Dic53C2411yescharacteristic
1052C4⋊Dic53C2411yescharacteristic
1053C4⋊Dic53C2414yes—
1054C4⋊Dic53C2414yes—
1055C4⋊Dic53C2414yes—
1056C4⋊Dic53C2414yes—
1057C4⋊Dic53C2412yes—
1058C4⋊Dic53C2412yes—
1059C4⋊Dic53C2414yes—
1060C4⋊Dic53C2414yes—
1061C4⋊Dic53C2412yes—
1062C4⋊Dic53C2414yes—
1063C4⋊Dic53C2412yes—
1064#11719919C2412yes—
1065#11719919C2414yes—
1066#11719919C2414yes—
1067#11719919C2414yes—
1068#11719919C2414yes—
1069#11719919C2412yes—
1070#11719919C2412yes—
1071#11719919C2412yes—
1072#11719919C2412yes—
1073#11719919C2412yes—
1074#11719919C2412yes—
1075#11719919C2412yes—
1076#11719919C2412yes—
1077#11719919C2412yes—
1078#11719919C2414yes—
1079#11719919C2414yes—
1080#11719919C2414yes—
1081#11719919C2414yes—
1082#11719919C2414yes—
1083#11719919C2414yes—
1084#11719919C2414yes—
1085#11719919C2414yes—
1086#11719919C2414yes—
1087#11719919C2414yes—
1088#11719919C2414yes—
1089#11719919C2414yes—
1090#11719919C2412yes—
1091#11719919C2412yes—
1092#11719919C2414yes—
1093#11719919C2414yes—
1094#11719919C2412yes—
1095#11719919C2412yes—
1096C4×Dic53C2412yes—
1097C4×Dic53C2412yes—
1098C4×Dic53C2412yes—
1099C4×Dic53C2412yes—
1100C4×Dic53C2412yes—
1101C4×Dic53C2412yes—
1102C4×Dic53C2412yes—
1103C4×Dic53C2414yes—
1104C4×Dic53C2414yes—
1105C4×Dic53C2412yes—
1106C4×Dic53C2414yes—
1107C4×Dic53C2412yes—
1108C4×Dic53C2412yes—
1109C4×Dic53C2412yes—
1110C4×Dic53C2412yes—
1111C4×Dic53C2412yes—
1112C4×Dic53C2414yes—
1113C4×Dic53C2414yes—
1114C4×Dic53C2414yes—
1115C4×Dic53C2414yes—
1116C4×Dic53C2412yes—
1117C4×Dic53C2412yes—
1118C23×C53—24no—
1119C23×C53—22no—
1120C23×C53—42no—
1121C23×C53—41no—
1122C23×C53—41no—
1123C23×C53—42no—
1124C23×C53C2514yes—
1125C23×C53C2511yescharacteristic
1126C23×C53C2512yes—
1127C23×C53C2511yescharacteristic
1128C23×C53C2511yescharacteristic
1129C22×D53—22no—
1130C22×D53—24no—
1131C22×D53—41no—
1132C22×D53—42no—
1133C22×D53—41no—
1134C22×D53—42no—
1135C22×D53—41no—
1136C22×D53—41no—
1137C22×D53C2×#4114yes—
1138C22×D53C2512yes—
1139C22×D53C2511yescharacteristic
1140C22×D53C2511yescharacteristic
1141C22×D53C2511yescharacteristic
1142C22×D53C2511yescharacteristic
1143Q8×C53—22no—
1144Q8×C53—44no—
1145D4×C53—24no—
1146D4×C53—22no—
1147D4×C53—24no—
1148D4×C53—24no—
1149D4×C53—44no—
1150D4×C53—44no—
1151D4×C53—44no—
1152D4×C53—44no—
1153D4×C53—42no—
1154D4×C53—42no—
1155C2×C4×C53—22no—
1156C2×C4×C53—24no—
1157C2×C4×C53—22no—
1158C2×C4×C53—22no—
1159C2×C4×C53—22no—
1160C2×C4×C53—22no—
1161C2×C4×C53—42no—
1162C2×C4×C53—44no—
1163C2×C4×C53—44no—
1164C2×C4×C53—42no—
1165C2×C4×C53—44no—
1166C2×C4×C53—42no—
1167C2×C4×C53C2×#4114yes—
1168C2×C4×C53C2512yes—
1169C2×C4×C53C2512yes—
1170C2×C4×C53C2511yescharacteristic
1171C2×C4×C53C2511yescharacteristic
1172C2×C4×C53C2514yes—
1173C2×C4×C53C2512yes—
1174C2×C4×C53C2512yes—
1175C2×C4×C53C2512yes—
1176C2×C4×C53C2512yes—
1177C2×C4×C53C2512yes—
1178C2×C4×C53C2511yescharacteristic
1179C2×C4×C53C2511yescharacteristic
1180C22⋊D53—24no—
1181C22⋊D53—22no—
1182C22⋊D53—22no—
1183C22⋊D53—22no—
1184C22⋊D53—22no—
1185C22⋊D53—24no—
1186C22⋊D53—28no—
1187C22⋊D53—28no—
1188C22⋊D53—22no—
1189C22⋊D53—22no—
1190C22⋊D53—22no—
1191C22⋊D53—22no—
1192C22⋊D53—24no—
1193C22⋊D53—44no—
1194C22⋊D53—44no—
1195C22⋊D53—42no—
1196C22⋊D53—42no—
1197C22⋊D53—44no—
1198C22⋊D53—44no—
1199C22⋊D53—42no—
1200C22⋊D53—42no—
1201C2×Dic53—22no—
1202C2×Dic53—24no—
1203C2×Dic53—24no—
1204C2×Dic53—28no—
1205C2×Dic53—28no—
1206C2×Dic53—44no—
1207C2×Dic53—42no—
1208C2×Dic53—42no—
1209C2×Dic53—44no—
1210C2×Dic53—42no—
1211C2×Dic53—44no—
1212C2×Dic53C2×#4114yes—
1213C2×Dic53C2512yes—
1214C2×Dic53C2512yes—
1215C2×Dic53C2514yes—
1216C2×Dic53C2511yescharacteristic
1217C2×Dic53C2511yescharacteristic
1218C2×Dic53C2512yes—
1219C2×Dic53C2514yes—
1220C2×Dic53C2512yes—
1221C2×Dic53C2512yes—
1222C2×Dic53C2512yes—
1223C2×Dic53C2512yes—
1224C2×Dic53C2511yescharacteristic
1225C2×Dic53C2511yescharacteristic
1226D212—22no—
1227D212—22no—
1228D212—22no—
1229D212—22no—
1230D212—24no—
1231D212—22no—
1232D212—42no—
1233D212—42no—
1234C4×D53—24no—
1235C4×D53—22no—
1236C4×D53—22no—
1237C4×D53—22no—
1238C4×D53—22no—
1239C4×D53—24no—
1240C4×D53—24no—
1241C4×D53—44no—
1242C4×D53—42no—
1243C4×D53—44no—
1244C4×D53—44no—
1245C4×D53—44no—
1246C4×D53—42no—
1247C4×D53—42no—
1248C4×D53—42no—
1249C4×D53—42no—
1250C4×D53—42no—
1251C4×D53—42no—
1252C4×D53—42no—
1253C4×D53—42no—
1254C4×D53—42no—
1255C4×D53C2×#4114yes—
1256C4×D53C2×#4114yes—
1257C4×D53C2×#4114yes—
1258C4×D53C2×#4114yes—
1259Dic106—24no—
1260Dic106—24no—
1261Dic106—22no—
1262Dic106—22no—
1263Dic106—22no—
1264Dic106—22no—
1265Dic106—22no—
1266Dic106—24no—
1267Dic106—44no—
1268Dic106—44no—
1269Dic106—44no—
1270#62856—531nomaximal, Sylow
1271C22×C53—21no—
1272C22×C53—21no—
1273C22×C53—24no—
1274C22×C53—22no—
1275C22×C53—21no—
1276C22×C53—21no—
1277C22×C53—21no—
1278C22×C53—22no—
1279C22×C53—24no—
1280C22×C53—21no—
1281C22×C53—21no—
1282C22×C53—24no—
1283C22×C53—21no—
1284C22×C53—22no—
1285C22×C53—84no—
1286C22×C53—82no—
1287C22×C53C22×#4112yes—
1288C22×C53C2611yescharacteristic
1289C2×D53—21no—
1290C2×D53—21no—
1291C2×D53—21no—
1292C2×D53—21no—
1293C2×D53—22no—
1294C2×D53—21no—
1295C2×D53—21no—
1296C2×D53—22no—
1297C2×D53—21no—
1298C2×D53—21no—
1299C2×D53—21no—
1300C2×D53—21no—
1301C2×D53—22no—
1302C2×D53—44no—
1303C2×D53—48no—
1304C2×D53—82no—
1305C2×D53C22×#4112yes—
1306C2×D53C22×#4112yes—
1307C4×C53—21no—
1308C4×C53—21no—
1309C4×C53—22no—
1310C4×C53—22no—
1311C4×C53—22no—
1312C4×C53—24no—
1313C4×C53—22no—
1314C4×C53—22no—
1315C4×C53—22no—
1316C4×C53—22no—
1317C4×C53C22×#4112yes—
1318C4×C53C22×#4112yes—
1319Dic53—22no—
1320Dic53—21no—
1321Dic53—21no—
1322Dic53—24no—
1323Dic53—22no—
1324Dic53—22no—
1325Dic53—24no—
1326Dic53—22no—
1327Dic53—22no—
1328Dic53—22no—
1329Dic53—22no—
1330Dic53C22×#4112yes—
1331Dic53C22×#4112yes—
1332#3512—532no—
1333#3512—532no—
1334#3512—532no—
1335#3512—532no—
1336#3511—532no—
1337#3511—532no—
1338#3511—532no—
1339#3511—532no—
1340#3505—534no—
1341#3505—534no—
1342#3495—534no—
1343#3495—531no—
1344#3495—531no—
1345#3495—531no—
1346#3495—531no—
1347#3494—534no—
1348#3494—531no—
1349#3494—531no—
1350#3494—531no—
1351#3494D5311yescharacteristic, complemented
1352#3493—532no—
1353#3493—532no—
1354#3492—532no—
1355#3492—532no—
1356#3461—532no—
1357#3461—532no—
1358#3460—532no—
1359#3460—532no—
1360C2×#544—531no—
1361#3449—531no—
1362#3449—531no—
1363C2×#537—531no—
1364#3428—531no—
1365#3428—531no—
1366C2×#520—531no—
1367C2×C53—22no—
1368C2×C53—42no—
1369C2×C53—44no—
1370C2×C53—41no—
1371C2×C53—41no—
1372C2×C53C23×#4111yescharacteristic
1373C2×C53H(7,𝔽2)11yescharacteristic
1374C2×C532−1+611yescharacteristic
1375D53—22no—
1376D53—22no—
1377D53—42no—
1378D53—41no—
1379D53—41no—
1380C22×#41—531no—
1381C22×#41—531no—
1382C22×#41—531no—
1383#556—532no—
1384#556—534no—
1385#556—534no—
1386#556—532no—
1387#556—532no—
1388#556—532no—
1389#555—534no—
1390#555—532no—
1391#555—532no—
1392#555—534no—
1393#555—532no—
1394#555C2×D5312yescomplemented
1395#554—532no—
1396#554—534no—
1397#554—532no—
1398#554—534no—
1399#554—532no—
1400#554—532no—
1401#553—534no—
1402#553—534no—
1403#553—534no—
1404#553—534no—
1405#553—534no—
1406#553—534no—
1407#553—534no—
1408#553—534no—
1409#553—534no—
1410#553—532no—
1411#553—532no—
1412#553—534no—
1413#553—534no—
1414#553—534no—
1415#553—532no—
1416#553—532no—
1417#553—534no—
1418#553—532no—
1419#553—532no—
1420#553—534no—
1421#553—534no—
1422#553—534no—
1423#553C2×D5312yescomplemented
1424#553C2×D5312yescomplemented
1425#552—534no—
1426#552—532no—
1427#552—532no—
1428#552—534no—
1429#552—534no—
1430#552—534no—
1431#552—534no—
1432#552—532no—
1433#552—532no—
1434#552—534no—
1435#552—534no—
1436#552—534no—
1437#552—532no—
1438#552—532no—
1439#552—532no—
1440#552—532no—
1441#551—534no—
1442#551—534no—
1443#551—534no—
1444#551—534no—
1445#551—534no—
1446#551—534no—
1447#551—534no—
1448#551C2×D5314yescomplemented
1449#548—534no—
1450#548—534no—
1451#548—534no—
1452#548—534no—
1453#547—534no—
1454#547—534no—
1455#547—532no—
1456#547—532no—
1457#547—532no—
1458#547C2×D5312yescomplemented
1459#546—534no—
1460#546—534no—
1461#546—534no—
1462#546C2×D5314yescomplemented
1463#544—532no—
1464#544—532no—
1465#544—532no—
1466#544—532no—
1467#544—534no—
1468#544—531no—
1469#544—531no—
1470#544—531no—
1471#544C2×D5311yescharacteristic, complemented
1472#542—532no—
1473#542—534no—
1474#542—534no—
1475#542—532no—
1476#542—534no—
1477#542—534no—
1478#542—532no—
1479#542—532no—
1480#542—532no—
1481#542—532no—
1482#542—532no—
1483#542C2×D5312yescomplemented
1484#541—534no—
1485#541—534no—
1486#541—532no—
1487#541—532no—
1488#541—532no—
1489#541—532no—
1490#540—532no—
1491#540—534no—
1492#540—534no—
1493#540—532no—
1494#540—532no—
1495#540C2×D5312yescomplemented
1496#539—534no—
1497#539—534no—
1498#539—534no—
1499#539—534no—
1500#538—534no—
1501#538—534no—
1502#538—534no—
1503#538—534no—
1504#537—531no—
1505#537—531no—
1506#537—532no—
1507#537—532no—
1508#537—532no—
1509#537—532no—
1510#537—532no—
1511#537—532no—
1512#537—532no—
1513#537—532no—
1514#537—531no—
1515#537—532no—
1516#537—531no—
1517#537—532no—
1518#536—531no—
1519#536—532no—
1520#536—532no—
1521#536—531no—
1522#536—531no—
1523#536—531no—
1524#535—531no—
1525#535—532no—
1526#535—531no—
1527#535—531no—
1528#535—532no—
1529#535C2×D5311yescharacteristic
1530#534—532no—
1531#534—534no—
1532#534—532no—
1533#533—532no—
1534#533—532no—
1535#533—534no—
1536#533—532no—
1537#533—534no—
1538#533—532no—
1539#532—534no—
1540#532—532no—
1541#532—532no—
1542#532—532no—
1543#532—532no—
1544#532—534no—
1545#532—532no—
1546#532—532no—
1547#532—532no—
1548#532C2×D5312yescomplemented
1549C2×C4⋊Q8—532no—
1550C2×C4⋊Q8—532no—
1551#529—534no—
1552#529—532no—
1553#529—534no—
1554#529—532no—
1555#529—534no—
1556#529—534no—
1557#529—532no—
1558#529—532no—
1559#529—534no—
1560#529—532no—
1561#529—534no—
1562#529—534no—
1563#529—532no—
1564#529—534no—
1565#529—532no—
1566#529C2×D5312yescomplemented
1567C2×#125—532no—
1568C2×#125—532no—
1569#525—531no—
1570#525—534no—
1571#525—531no—
1572#525—534no—
1573#525—532no—
1574#525—532no—
1575#525—534no—
1576#525—534no—
1577#525—532no—
1578#525—532no—
1579#525—534no—
1580#525—531no—
1581#525C2×D5311yescharacteristic
1582C2×C22⋊Q8—531no—
1583C2×C22⋊Q8—534no—
1584C2×C22⋊Q8—531no—
1585C2×C22⋊Q8—532no—
1586C2×#121—532no—
1587C2×#121—531no—
1588C2×#121—532no—
1589C2×#121—532no—
1590C2×#121C2×D5311yescharacteristic, complemented
1591#520—531no—
1592#520—532no—
1593#520—534no—
1594#520—532no—
1595#520—532no—
1596#520—532no—
1597#520—532no—
1598#520—532no—
1599#520—531no—
1600#520—532no—
1601#520—531no—
1602#520—531no—
1603#520—531no—
1604#520—531no—
1605#520—531no—
1606#520—532no—
1607#520—531no—
1608#520—531no—
1609#520—531no—
1610#520—531no—
1611#520C2×D5311yescharacteristic
1612#519—531no—
1613#519—531no—
1614#519—532no—
1615#518—531no—
1616#518—532no—
1617#518—534no—
1618#518—532no—
1619#518—532no—
1620#518C2×D5311yescharacteristic, complemented
1621C4×#41—532no—
1622C4×#41—532no—
1623C4×#41—532no—
1624C4×#41—532no—
1625C4×#41—532no—
1626C4×#41—532no—
1627C4×#41—532no—
1628C4×#41—532no—
1629C2×C4×Q8—532no—
1630C2×C4×D4—534no—
1631C2×C4×D4—532no—
1632C2×#117—531no—
1633C2×#117—531no—
1634C2×#117—531no—
1635C2×#117—531no—
1636C2×#117—532no—
1637C2×#117—531no—
1638C2×#117—531no—
1639C2×#117—534no—
1640C2×#117C2×D5311yescharacteristic, complemented
1641C22×C4⋊C4—531no—
1642C22×C4⋊C4—532no—
1643C53#6285611yescharacteristic, complemented, Sylow
1644C2×#41—531no—
1645C2×#41—532no—
1646C2×#41—532no—
1647C2×#41—532no—
1648C2×#41—532no—
1649C2×#41—531no—
1650C2×#41—532no—
1651C2×#41—534no—
1652C2×#41—534no—
1653C2×#41—531no—
1654C2×#41—531no—
1655C2×#41—531no—
1656C2×#41—531no—
1657C2×#41—531no—
1658C2×#41—531no—
1659C2×#41—531no—
1660C2×#41—531no—
1661C2×#41—532no—
1662C2×#41—531no—
1663C2×#41—534no—
1664C2×#41—1068no—
1665C2×#41—1068no—
1666C2×#41—1068no—
1667C2×#41C22×D5311yescharacteristic
1668C2×#41C22×D5314yes—
1669C22×Q8—531no—
1670C22×Q8—534no—
1671C22×Q8—531no—
1672C22×Q8—531no—
1673C22×D4—531no—
1674C22×D4—532no—
1675C22×D4—531no—
1676C22×D4—532no—
1677C22×D4—532no—
1678C22×D4—531no—
1679C22×D4—531no—
1680C22×D4C22×D5311yescharacteristic
1681C22×D4C22×D5312yes—
1682C23×C4—531no—
1683C23×C4—532no—
1684C23×C4—532no—
1685C23×C4—531no—
1686C23×C4—532no—
1687C23×C4—534no—
1688C23×C4C22×D5311yescharacteristic
1689C4⋊Q8—534no—
1690C4⋊Q8—534no—
1691C4⋊Q8—532no—
1692C4⋊Q8—534no—
1693C4⋊Q8—532no—
1694C4⋊Q8—532no—
1695C4⋊Q8—534no—
1696C4⋊Q8—532no—
1697C4⋊Q8—532no—
1698C4⋊Q8—532no—
1699C4⋊Q8—532no—
1700C4⋊Q8—532no—
1701C4⋊Q8—532no—
1702C4⋊Q8—532no—
1703C4⋊Q8C22×D5312yes—
1704C4⋊Q8C22×D5312yes—
1705#127—532no—
1706#127—532no—
1707#127—532no—
1708#127C22×D5312yes—
1709#126—534no—
1710#126—534no—
1711#126—534no—
1712#126—534no—
1713#126—534no—
1714#126—534no—
1715#126—534no—
1716#126—534no—
1717#126—534no—
1718#126—534no—
1719#126—534no—
1720#126—534no—
1721#126—534no—
1722#126—534no—
1723#126—534no—
1724#126—534no—
1725#126—534no—
1726#126—534no—
1727#126—534no—
1728#126—534no—
1729#126—534no—
1730#126—534no—
1731#126C22×D5314yes—
1732#126C22×D5314yes—
1733#125—534no—
1734#125—534no—
1735#125—532no—
1736#125—532no—
1737#125—534no—
1738#125—534no—
1739#125—532no—
1740#125—532no—
1741#125—534no—
1742#125—534no—
1743#125—534no—
1744#125—534no—
1745#125—534no—
1746#125—534no—
1747#125—534no—
1748#125—534no—
1749#125—534no—
1750#125—534no—
1751#125—532no—
1752#125—532no—
1753#125—534no—
1754#125—534no—
1755#125C22×D5312yes—
1756#125C22×D5312yes—
1757#124—534no—
1758#124—532no—
1759#124—532no—
1760#124—534no—
1761#124—534no—
1762#124—534no—
1763#124—532no—
1764#124—532no—
1765#124—532no—
1766#124—532no—
1767#124—534no—
1768#124—534no—
1769#124—534no—
1770#124—534no—
1771#124—534no—
1772#124—534no—
1773#124—532no—
1774#124C22×D5312yes—
1775#124C22×D5314yes—
1776#124C22×D5314yes—
1777#123—532no—
1778#123—534no—
1779#123—534no—
1780#123—534no—
1781#123—534no—
1782#123—534no—
1783#123—534no—
1784#123—534no—
1785#123—532no—
1786#123—534no—
1787#123—534no—
1788#123—534no—
1789#123—534no—
1790#123—532no—
1791#123—532no—
1792#123—534no—
1793#123—534no—
1794#123—534no—
1795#123—532no—
1796#123—532no—
1797#123—534no—
1798#123—534no—
1799#123—532no—
1800#123—534no—
1801#123—534no—
1802#123—534no—
1803#123—534no—
1804#123—534no—
1805#123—534no—
1806#123—534no—
1807#123—534no—
1808#123C22×D5314yes—
1809#123C22×D5312yes—
1810#123C22×D5314yes—
1811#123C22×D5314yes—
1812#123C22×D5314yes—
1813C22⋊Q8—534no—
1814C22⋊Q8—531no—
1815C22⋊Q8—531no—
1816C22⋊Q8—534no—
1817C22⋊Q8—534no—
1818C22⋊Q8—532no—
1819C22⋊Q8—532no—
1820C22⋊Q8—532no—
1821C22⋊Q8—532no—
1822C22⋊Q8—534no—
1823C22⋊Q8—531no—
1824C22⋊Q8—531no—
1825C22⋊Q8—532no—
1826C22⋊Q8—532no—
1827C22⋊Q8—534no—
1828C22⋊Q8—534no—
1829C22⋊Q8—534no—
1830C22⋊Q8—534no—
1831C22⋊Q8—534no—
1832C22⋊Q8—534no—
1833C22⋊Q8—532no—
1834C22⋊Q8—532no—
1835C22⋊Q8—532no—
1836C22⋊Q8—532no—
1837C22⋊Q8—531no—
1838C22⋊Q8—531no—
1839C22⋊Q8—532no—
1840C22⋊Q8—532no—
1841C22⋊Q8—532no—
1842C22⋊Q8—532no—
1843C22⋊Q8—534no—
1844C22⋊Q8—534no—
1845C22⋊Q8—534no—
1846C22⋊Q8—534no—
1847C22⋊Q8—534no—
1848C22⋊Q8—534no—
1849C22⋊Q8—534no—
1850C22⋊Q8—534no—
1851C22⋊Q8—534no—
1852C22⋊Q8—534no—
1853C22⋊Q8—532no—
1854C22⋊Q8—532no—
1855C22⋊Q8—534no—
1856C22⋊Q8—534no—
1857C22⋊Q8—534no—
1858C22⋊Q8—534no—
1859C22⋊Q8C22×D5314yes—
1860C22⋊Q8C22×D5311yescharacteristic
1861C22⋊Q8C22×D5311yescharacteristic
1862C22⋊Q8C22×D5314yes—
1863#121—534no—
1864#121—534no—
1865#121—532no—
1866#121—532no—
1867#121—534no—
1868#121—534no—
1869#121—532no—
1870#121—532no—
1871#121—534no—
1872#121—534no—
1873#121—534no—
1874#121—534no—
1875#121—531no—
1876#121—534no—
1877#121—531no—
1878#121—534no—
1879#121—532no—
1880#121—532no—
1881#121—532no—
1882#121—532no—
1883#121—534no—
1884#121—534no—
1885#121—534no—
1886#121—532no—
1887#121—534no—
1888#121—532no—
1889#121—534no—
1890#121—534no—
1891#121—534no—
1892#121—534no—
1893#121—531no—
1894#121—531no—
1895#121—534no—
1896#121—531no—
1897#121—531no—
1898#121—532no—
1899#121—532no—
1900#121—534no—
1901#121—534no—
1902#121—534no—
1903#121—534no—
1904#121—532no—
1905#121—532no—
1906#121—534no—
1907#121—532no—
1908#121—532no—
1909#121—534no—
1910#121—534no—
1911#121—532no—
1912#121—532no—
1913#121—534no—
1914#121C22×D5312yes—
1915#121C22×D5312yes—
1916#121C22×D5312yes—
1917#121C22×D5312yes—
1918#121C22×D5312yes—
1919#121C22×D5312yes—
1920#121C22×D5314yes—
1921#121C22×D5311yescharacteristic
1922#121C22×D5311yescharacteristic
1923#121C22×D5314yes—
1924#121C22×D5314yes—
1925#120—532no—
1926#120—534no—
1927#120—534no—
1928#120—532no—
1929#120—534no—
1930#120—532no—
1931#120—532no—
1932#120—532no—
1933#120—532no—
1934#120—532no—
1935#120C22×D5314yes—
1936#120C22×D5312yes—
1937C4×Q8—532no—
1938C4×Q8—534no—
1939C4×Q8—534no—
1940C4×Q8—532no—
1941C4×Q8—532no—
1942C4×Q8—532no—
1943C4×Q8—532no—
1944C4×Q8—532no—
1945C4×Q8—532no—
1946C4×Q8—532no—
1947C4×Q8—532no—
1948C4×Q8—532no—
1949C4×Q8—534no—
1950C4×Q8—534no—
1951C4×Q8—532no—
1952C4×Q8—532no—
1953C4×Q8—532no—
1954C4×Q8—532no—
1955C4×Q8—532no—
1956C4×Q8—532no—
1957C4×Q8—532no—
1958C4×Q8—532no—
1959C4×Q8—532no—
1960C4×Q8—534no—
1961C4×Q8—534no—
1962C4×Q8C22×D5312yes—
1963C4×D4—532no—
1964C4×D4—534no—
1965C4×D4—532no—
1966C4×D4—532no—
1967C4×D4—532no—
1968C4×D4—532no—
1969C4×D4—534no—
1970C4×D4—534no—
1971C4×D4—534no—
1972C4×D4—534no—
1973C4×D4—534no—
1974C4×D4—534no—
1975C4×D4—534no—
1976C4×D4—534no—
1977C4×D4—534no—
1978C4×D4—532no—
1979C4×D4—534no—
1980C4×D4—532no—
1981C4×D4—532no—
1982C4×D4—532no—
1983C4×D4—532no—
1984C4×D4—534no—
1985C4×D4—532no—
1986C4×D4—534no—
1987C4×D4—532no—
1988C4×D4—532no—
1989C4×D4—532no—
1990C4×D4—532no—
1991C4×D4—532no—
1992C4×D4—532no—
1993C4×D4—534no—
1994C4×D4—534no—
1995C4×D4—534no—
1996C4×D4—534no—
1997C4×D4—532no—
1998C4×D4—534no—
1999C4×D4—532no—
2000C4×D4—532no—
2001C4×D4—532no—
2002C4×D4—532no—
2003C4×D4—534no—
2004C4×D4—534no—
2005C4×D4—534no—
2006C4×D4—534no—
2007C4×D4—534no—
2008C4×D4—532no—
2009C4×D4—534no—
2010C4×D4—532no—
2011C4×D4—532no—
2012C4×D4—532no—
2013C4×D4—532no—
2014C4×D4—534no—
2015C4×D4—532no—
2016C4×D4—534no—
2017C4×D4—532no—
2018C4×D4—532no—
2019C4×D4—534no—
2020C4×D4—534no—
2021C4×D4—534no—
2022C4×D4—534no—
2023C4×D4—532no—
2024C4×D4—534no—
2025C4×D4—532no—
2026C4×D4—532no—
2027C4×D4—532no—
2028C4×D4—532no—
2029C4×D4—532no—
2030C4×D4—532no—
2031C4×D4C22×D5312yes—
2032C4×D4C22×D5314yes—
2033C4×D4C22×D5312yes—
2034C4×D4C22×D5312yes—
2035C4×D4C22×D5312yes—
2036C4×D4C22×D5312yes—
2037C4×D4C22×D5312yes—
2038C4×D4C22×D5312yes—
2039C4×D4C22×D5314yes—
2040C4×D4C22×D5314yes—
2041#117—531no—
2042#117—531no—
2043#117—532no—
2044#117—531no—
2045#117—532no—
2046#117—531no—
2047#117—532no—
2048#117—531no—
2049#117—534no—
2050#117—534no—
2051#117—534no—
2052#117—531no—
2053#117—531no—
2054#117—531no—
2055#117—531no—
2056#117—531no—
2057#117—531no—
2058#117—531no—
2059#117—531no—
2060#117—532no—
2061#117—532no—
2062#117—531no—
2063#117—531no—
2064#117—534no—
2065#117—534no—
2066#117—532no—
2067#117—532no—
2068#117—534no—
2069#117—534no—
2070#117—532no—
2071#117—532no—
2072#117—534no—
2073#117—532no—
2074#117—534no—
2075#117—534no—
2076#117—534no—
2077#117—534no—
2078#117—534no—
2079#117—534no—
2080#117—534no—
2081#117—534no—
2082#117—532no—
2083#117—532no—
2084#117—532no—
2085#117—532no—
2086#117—532no—
2087#117—534no—
2088#117—534no—
2089#117—534no—
2090#117C22×D5311yescharacteristic
2091#117C22×D5311yescharacteristic
2092#117C22×D5311yescharacteristic
2093#117C22×D5312yes—
2094#117C22×D5312yes—
2095#117C22×D5312yes—
2096#117C22×D5311yescharacteristic
2097#117C22×D5311yescharacteristic
2098#117C22×D5314yes—
2099C2×C4⋊C4—532no—
2100C2×C4⋊C4—531no—
2101C2×C4⋊C4—534no—
2102C2×C4⋊C4—532no—
2103C2×C4⋊C4—534no—
2104C2×C4⋊C4—531no—
2105C2×C4⋊C4—534no—
2106C2×C4⋊C4—531no—
2107C2×C4⋊C4—532no—
2108C2×C4⋊C4—532no—
2109C2×C4⋊C4—531no—
2110C2×C4⋊C4—532no—
2111C2×C4⋊C4—532no—
2112C2×C4⋊C4—534no—
2113C2×C4⋊C4—532no—
2114C2×C4⋊C4—532no—
2115C2×C4⋊C4—534no—
2116C2×C4⋊C4—532no—
2117C2×C4⋊C4—532no—
2118C2×C4⋊C4—531no—
2119C2×C4⋊C4—531no—
2120C2×C4⋊C4—531no—
2121C2×C4⋊C4—531no—
2122C2×C4⋊C4—531no—
2123C2×C4⋊C4—531no—
2124C2×C4⋊C4—531no—
2125C2×C4⋊C4—531no—
2126C2×C4⋊C4—531no—
2127C2×C4⋊C4—534no—
2128C2×C4⋊C4—534no—
2129C2×C4⋊C4—534no—
2130C2×C4⋊C4C22×D5311yescharacteristic
2131C2×C4⋊C4C22×D5312yes—
2132C2×C4⋊C4C22×D5311yescharacteristic
2133C2×C4⋊C4C22×D5311yescharacteristic
2134C2×C22⋊C4—532no—
2135C2×C22⋊C4—534no—
2136C2×C22⋊C4—532no—
2137C2×C22⋊C4—532no—
2138C2×C22⋊C4—532no—
2139C2×C22⋊C4—532no—
2140C2×C22⋊C4—534no—
2141C2×C22⋊C4—532no—
2142C2×C22⋊C4—532no—
2143C2×C22⋊C4—532no—
2144C2×C22⋊C4—532no—
2145C2×C22⋊C4C22×D5314yes—
2146C2×C22⋊C4C22×D5312yes—
2147C2×C22⋊C4C22×D5312yes—
2148C2×C42—534no—
2149C2×C42—534no—
2150C2×C42—532no—
2151C2×C42—532no—
2152C2×C42—534no—
2153C2×C42—532no—
2154C2×C42—532no—
2155C2×C42—532no—
2156C2×C42—532no—
2157C2×C42C22×D5312yes—
2158C24—531no—
2159C24—531no—
2160C24—532no—
2161C24C23×D5311yescharacteristic
2162C24C23×D5312yes—
2163#41—24no—
2164#41—84no—
2165#41—1064no—
2166#41—1064no—
2167#41—1064no—
2168#41—1064no—
2169#41—1064no—
2170#41—1064no—
2171#41—1064no—
2172#41—1064no—
2173#41—1068no—
2174#41—1068no—
2175#41—1068no—
2176#41—1068no—
2177#41—1068no—
2178#41—1068no—
2179#41—1064no—
2180#41—1064no—
2181#41—1064no—
2182#41—4244no—
2183#41—4244no—
2184#41—4244no—
2185C2×Q8—531no—
2186C2×Q8—531no—
2187C2×Q8—532no—
2188C2×Q8—531no—
2189C2×Q8—532no—
2190C2×Q8—531no—
2191C2×Q8—531no—
2192C2×Q8—532no—
2193C2×Q8—534no—
2194C2×Q8—534no—
2195C2×Q8—534no—
2196C2×Q8—1064no—
2197C2×Q8—1064no—
2198C2×Q8—1064no—
2199C2×Q8—4244no—
2200C2×Q8C23×D5311yescharacteristic
2201C2×Q8C23×D5314yes—
2202C2×D4—24no—
2203C2×D4—82no—
2204C2×D4—532no—
2205C2×D4—531no—
2206C2×D4—531no—
2207C2×D4—534no—
2208C2×D4—531no—
2209C2×D4—531no—
2210C2×D4—531no—
2211C2×D4—532no—
2212C2×D4—531no—
2213C2×D4—534no—
2214C2×D4—531no—
2215C2×D4—532no—
2216C2×D4—531no—
2217C2×D4—532no—
2218C2×D4—532no—
2219C2×D4—534no—
2220C2×D4—532no—
2221C2×D4—534no—
2222C2×D4—532no—
2223C2×D4—534no—
2224C2×D4—534no—
2225C2×D4—531no—
2226C2×D4—531no—
2227C2×D4—531no—
2228C2×D4—532no—
2229C2×D4—531no—
2230C2×D4—531no—
2231C2×D4—532no—
2232C2×D4—532no—
2233C2×D4—1064no—
2234C2×D4—1064no—
2235C2×D4—1064no—
2236C2×D4—1068no—
2237C2×D4—1064no—
2238C2×D4—1068no—
2239C2×D4—4242no—
2240C2×D4C23×D5312yes—
2241C2×D4C23×D5312yes—
2242C2×D4C23×D5311yescharacteristic
2243C2×D4C23×D5312yes—
2244C2×D4C23×D5314yes—
2245C2×D4C23×D5312yes—
2246C2×D4C23×D5314yes—
2247C2×D4C23×D5314yes—
2248C2×D4C23×D5312yes—
2249C2×D4C23×D5314yes—
2250C22×C4—24no—
2251C22×C4—531no—
2252C22×C4—538no—
2253C22×C4—531no—
2254C22×C4—531no—
2255C22×C4—531no—
2256C22×C4—531no—
2257C22×C4—534no—
2258C22×C4—532no—
2259C22×C4—531no—
2260C22×C4—532no—
2261C22×C4—534no—
2262C22×C4—534no—
2263C22×C4—532no—
2264C22×C4—534no—
2265C22×C4—532no—
2266C22×C4—532no—
2267C22×C4—534no—
2268C22×C4—532no—
2269C22×C4—531no—
2270C22×C4—531no—
2271C22×C4—532no—
2272C22×C4—532no—
2273C22×C4—531no—
2274C22×C4—531no—
2275C22×C4—532no—
2276C22×C4—532no—
2277C22×C4—532no—
2278C22×C4—532no—
2279C22×C4—532no—
2280C22×C4—532no—
2281C22×C4—534no—
2282C22×C4—532no—
2283C22×C4—532no—
2284C22×C4—532no—
2285C22×C4—532no—
2286C22×C4—534no—
2287C22×C4—534no—
2288C22×C4—534no—
2289C22×C4—1068no—
2290C22×C4—1068no—
2291C22×C4—1064no—
2292C22×C4—4242no—
2293C22×C4—4244no—
2294C22×C4C23×D5311yescharacteristic
2295C22×C4C23×D5311yescharacteristic
2296C22×C4C23×D5311yescharacteristic
2297C22×C4C23×D5311yescharacteristic
2298C22×C4C23×D5312yes—
2299C22×C4C23×D5311yescharacteristic
2300C22×C4C23×D5314yes—
2301C22×C4C23×D5314yes—
2302C22×C4C23×D5312yes—
2303C22×C4C23×D5312yes—
2304C22×C4C23×D5312yes—
2305C22×C4C23×D5314yes—
2306C22×C4C23×D5311yescharacteristic
2307C4⋊C4—532no—
2308C4⋊C4—531no—
2309C4⋊C4—534no—
2310C4⋊C4—532no—
2311C4⋊C4—532no—
2312C4⋊C4—531no—
2313C4⋊C4—532no—
2314C4⋊C4—531no—
2315C4⋊C4—532no—
2316C4⋊C4—531no—
2317C4⋊C4—534no—
2318C4⋊C4—532no—
2319C4⋊C4—534no—
2320C4⋊C4—534no—
2321C4⋊C4—534no—
2322C4⋊C4—532no—
2323C4⋊C4—531no—
2324C4⋊C4—532no—
2325C4⋊C4—531no—
2326C4⋊C4—534no—
2327C4⋊C4—532no—
2328C4⋊C4—534no—
2329C4⋊C4—532no—
2330C4⋊C4—532no—
2331C4⋊C4—534no—
2332C4⋊C4—532no—
2333C4⋊C4—534no—
2334C4⋊C4—532no—
2335C4⋊C4—532no—
2336C4⋊C4—534no—
2337C4⋊C4—534no—
2338C4⋊C4—534no—
2339C4⋊C4—534no—
2340C4⋊C4—534no—
2341C4⋊C4—534no—
2342C4⋊C4—534no—
2343C4⋊C4—534no—
2344C4⋊C4—534no—
2345C4⋊C4—534no—
2346C4⋊C4—534no—
2347C4⋊C4—534no—
2348C4⋊C4—534no—
2349C4⋊C4—532no—
2350C4⋊C4—532no—
2351C4⋊C4—534no—
2352C4⋊C4—532no—
2353C4⋊C4—534no—
2354C4⋊C4—532no—
2355C4⋊C4—534no—
2356C4⋊C4—532no—
2357C4⋊C4—532no—
2358C4⋊C4—534no—
2359C4⋊C4C23×D5311yescharacteristic
2360C4⋊C4C23×D5312yes—
2361C4⋊C4C23×D5311yescharacteristic
2362C4⋊C4C23×D5311yescharacteristic
2363C4⋊C4C23×D5311yescharacteristic
2364C4⋊C4C23×D5312yes—
2365C4⋊C4C23×D5314yes—
2366C4⋊C4C23×D5311yescharacteristic
2367C4⋊C4C23×D5311yescharacteristic
2368C4⋊C4C23×D5314yes—
2369C4⋊C4C23×D5314yes—
2370C4⋊C4C23×D5314yes—
2371C4⋊C4C23×D5312yes—
2372C4⋊C4C23×D5312yes—
2373C4⋊C4C23×D5312yes—
2374C4⋊C4C23×D5312yes—
2375C22⋊C4—532no—
2376C22⋊C4—532no—
2377C22⋊C4—532no—
2378C22⋊C4—532no—
2379C22⋊C4—534no—
2380C22⋊C4—534no—
2381C22⋊C4—532no—
2382C22⋊C4—534no—
2383C22⋊C4—534no—
2384C22⋊C4—534no—
2385C22⋊C4—534no—
2386C22⋊C4—534no—
2387C22⋊C4—532no—
2388C22⋊C4—534no—
2389C22⋊C4—532no—
2390C22⋊C4—534no—
2391C22⋊C4—534no—
2392C22⋊C4—532no—
2393C22⋊C4—534no—
2394C22⋊C4—532no—
2395C22⋊C4—532no—
2396C22⋊C4—532no—
2397C22⋊C4—532no—
2398C22⋊C4—532no—
2399C22⋊C4—532no—
2400C22⋊C4—532no—
2401C22⋊C4—532no—
2402C22⋊C4—532no—
2403C22⋊C4—534no—
2404C22⋊C4—534no—
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—534no—
2414C22⋊C4—532no—
2415C22⋊C4—534no—
2416C22⋊C4—532no—
2417C22⋊C4—532no—
2418C22⋊C4—532no—
2419C22⋊C4C23×D5312yes—
2420C22⋊C4C23×D5312yes—
2421C22⋊C4C23×D5312yes—
2422C22⋊C4C23×D5314yes—
2423C22⋊C4C23×D5314yes—
2424C22⋊C4C23×D5314yes—
2425C22⋊C4C23×D5314yes—
2426C22⋊C4C23×D5312yes—
2427C22⋊C4C23×D5312yes—
2428C22⋊C4C23×D5314yes—
2429C22⋊C4C23×D5312yes—
2430C22⋊C4C23×D5312yes—
2431C22⋊C4C23×D5314yes—
2432C22⋊C4C23×D5314yes—
2433C22⋊C4C23×D5312yes—
2434C22⋊C4C23×D5312yes—
2435C42—532no—
2436C42—532no—
2437C42—532no—
2438C42—532no—
2439C42—532no—
2440C42—532no—
2441C42—532no—
2442C42—534no—
2443C42—532no—
2444C42—534no—
2445C42—532no—
2446C42—534no—
2447C42—534no—
2448C42—534no—
2449C42—534no—
2450C42—532no—
2451C42—532no—
2452C42—534no—
2453C42—532no—
2454C42—532no—
2455C42—532no—
2456C42—532no—
2457C42C23×D5312yes—
2458C42C23×D5312yes—
2459C42C23×D5314yes—
2460C42C23×D5312yes—
2461C42C23×D5312yes—
2462C42C23×D5312yes—
2463C23—22no—
2464C23—24no—
2465C23—41no—
2466C23—42no—
2467C23—41no—
2468C23—42no—
2469C23—531no—
2470C23—531no—
2471C23—534no—
2472C23—532no—
2473C23—531no—
2474C23—531no—
2475C23—1064no—
2476C23—1062no—
2477C23—2121no—
2478C23—2121no—
2479C23—2121no—
2480C23—2122no—
2481C23—2121no—
2482C23—2122no—
2483C23C24×D5311yescharacteristic
2484C23C24×D5312yes—
2485C23C24×D5311yescharacteristic
2486C23C24×D5314yes—
2487C23C24×D5311yescharacteristic
2488Q8—22no—
2489Q8—44no—
2490Q8—1062no—
2491Q8—1062no—
2492Q8—1062no—
2493Q8—1062no—
2494Q8—1064no—
2495Q8—1064no—
2496Q8—1064no—
2497Q8—1062no—
2498Q8—2124no—
2499Q8—2124no—
2500Q8—2124no—
2501D4—24no—
2502D4—24no—
2503D4—24no—
2504D4—22no—
2505D4—44no—
2506D4—44no—
2507D4—42no—
2508D4—44no—
2509D4—42no—
2510D4—44no—
2511D4—1062no—
2512D4—1062no—
2513D4—1062no—
2514D4—1062no—
2515D4—1064no—
2516D4—1062no—
2517D4—1062no—
2518D4—1062no—
2519D4—1062no—
2520D4—1064no—
2521D4—1062no—
2522D4—1062no—
2523D4—1062no—
2524D4—1062no—
2525D4—1064no—
2526D4—1068no—
2527D4—1068no—
2528D4—1064no—
2529D4—1062no—
2530D4—2122no—
2531D4—2122no—
2532D4—2122no—
2533D4—2124no—
2534D4—2122no—
2535D4—2124no—
2536D4—2124no—
2537D4—2122no—
2538D4—2124no—
2539D4—2122no—
2540C2×C4—22no—
2541C2×C4—22no—
2542C2×C4—22no—
2543C2×C4—22no—
2544C2×C4—22no—
2545C2×C4—24no—
2546C2×C4—42no—
2547C2×C4—44no—
2548C2×C4—44no—
2549C2×C4—42no—
2550C2×C4—42no—
2551C2×C4—44no—
2552C2×C4—534no—
2553C2×C4—531no—
2554C2×C4—531no—
2555C2×C4—534no—
2556C2×C4—534no—
2557C2×C4—534no—
2558C2×C4—534no—
2559C2×C4—532no—
2560C2×C4—532no—
2561C2×C4—532no—
2562C2×C4—532no—
2563C2×C4—531no—
2564C2×C4—531no—
2565C2×C4—532no—
2566C2×C4—534no—
2567C2×C4—532no—
2568C2×C4—532no—
2569C2×C4—534no—
2570C2×C4—1064no—
2571C2×C4—1064no—
2572C2×C4—1064no—
2573C2×C4—1068no—
2574C2×C4—1068no—
2575C2×C4—1062no—
2576C2×C4—1064no—
2577C2×C4—1064no—
2578C2×C4—1062no—
2579C2×C4—1062no—
2580C2×C4—1062no—
2581C2×C4—1062no—
2582C2×C4—2122no—
2583C2×C4—2122no—
2584C2×C4—2122no—
2585C2×C4—2122no—
2586C2×C4—2122no—
2587C2×C4—2122no—
2588C2×C4—2124no—
2589C2×C4—2124no—
2590C2×C4—2124no—
2591C2×C4—2124no—
2592C2×C4—2122no—
2593C2×C4—2122no—
2594C2×C4—2122no—
2595C2×C4—2122no—
2596C2×C4—2124no—
2597C2×C4—2122no—
2598C2×C4—2122no—
2599C2×C4—2124no—
2600C2×C4—2124no—
2601C2×C4—2122no—
2602C2×C4#41×D5314yes—
2603C2×C4C24×D5312yes—
2604C2×C4C24×D5312yes—
2605C2×C4C24×D5311yescharacteristic
2606C2×C4C24×D5312yes—
2607C2×C4C24×D5312yes—
2608C2×C4C24×D5312yes—
2609C2×C4C24×D5312yes—
2610C2×C4C24×D5312yes—
2611C2×C4C24×D5314yes—
2612C2×C4C24×D5311yescharacteristic
2613C2×C4C24×D5311yescharacteristic
2614C2×C4C24×D5311yescharacteristic
2615C22—21no—
2616C22—21no—
2617C22—21no—
2618C22—21no—
2619C22—22no—
2620C22—24no—
2621C22—22no—
2622C22—21no—
2623C22—24no—
2624C22—21no—
2625C22—21no—
2626C22—24no—
2627C22—21no—
2628C22—22no—
2629C22—82no—
2630C22—84no—
2631C22—532no—
2632C22—532no—
2633C22—1061no—
2634C22—1061no—
2635C22—1061no—
2636C22—1061no—
2637C22—1061no—
2638C22—1061no—
2639C22—1062no—
2640C22—1062no—
2641C22—1061no—
2642C22—1061no—
2643C22—1061no—
2644C22—1061no—
2645C22—1062no—
2646C22—4242no—
2647C22—2124no—
2648C22—2128no—
2649C22C2×#41×D5312yes—
2650C22C25×D5311yescharacteristic
2651C4—21no—
2652C4—21no—
2653C4—22no—
2654C4—22no—
2655C4—24no—
2656C4—22no—
2657C4—22no—
2658C4—22no—
2659C4—22no—
2660C4—22no—
2661C4—532no—
2662C4—532no—
2663C4—1062no—
2664C4—1064no—
2665C4—1061no—
2666C4—1061no—
2667C4—1062no—
2668C4—1064no—
2669C4—1062no—
2670C4—1062no—
2671C4—1062no—
2672C4—1062no—
2673C4—1062no—
2674C4C2×#41×D5312yes—
2675C4C2×#41×D5312yes—
2676C2—22no—
2677C2—41no—
2678C2—41no—
2679C2—44no—
2680C2—42no—
2681C2—1062no—
2682C2—1062no—
2683C2—2121no—
2684C2—2121no—
2685C2—2122no—
2686C2C22×#41×D5311yescharacteristic
2687C2#2028952511yescharacteristic
2688C2#2028952811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3494C2
hypercenter#3494D53
hypocenterC53#62856
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3494

Complements

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

NH ≅ G/Ntype
1. #20288634C2semidirect
2. #20288633C2semidirect
3. #20288633C2semidirect
4. #20288630C2semidirect
5. #20288625C2semidirect
6. #20288620C2semidirect
7. #20288616C2semidirect
8. #20288615C2semidirect
9. #20288546C2semidirect
10. #20288542C2semidirect
11. #20288470C2semidirect
12. #20288469C2semidirect
13. #20288468C2semidirect
14. #20288467C2semidirect
15. #20288454C2semidirect
16. #20288447C2semidirect
17. #20288444C2semidirect
18. #20288440C2semidirect
19. #20288437C2semidirect
20. #20288431C2semidirect
21. #20288426C2semidirect
22. #20288419C2semidirect
23. #20288417C2semidirect
24. #20288141C2semidirect
25. #20288140C2semidirect
26. #20288130C2semidirect
27. #20288129C2semidirect
28. #544×D53C2semidirect
29. #20288046C2semidirect
30. #20288045C2semidirect
31. C2×#16811202C2semidirect
32. #20287916C2semidirect
33. #20287913C2semidirect
34. #520×D53C2semidirect
35. C53×#3494C2semidirect
39. #16811347C22semidirect
40. #16811343C22semidirect
41. #16811342C22semidirect
42. #16811341C22semidirect
43. #16811341C22semidirect
44. #16811340C22semidirect
45. #16811338C22semidirect
46. #16811337C22semidirect
47. #16811337C22semidirect
48. #16811337C22semidirect
49. #16811335C22semidirect
50. #16811334C22semidirect
51. #16811332C22semidirect
52. #16811330C22semidirect
53. #16811328C22semidirect
54. #16811328C22semidirect
55. #16811327C22semidirect
56. #16811325C22semidirect
57. #16811325C22semidirect
58. #16811324C22semidirect
59. #16811324C22semidirect
60. #16811323C22semidirect
61. #16811323C22semidirect
62. #16811323C22semidirect
63. #16811323C22semidirect
64. #16811322C22semidirect
65. #16811320C22semidirect
66. #16811320C22semidirect
67. #16811320C22semidirect
68. #16811320C22semidirect
69. #16811320C22semidirect
70. #16811318C22semidirect
71. #16811318C22semidirect
72. #16811318C22semidirect
73. #16811318C22semidirect
74. #16811318C22semidirect
75. #16811317C22semidirect
76. #16811316C22semidirect
77. #16811316C22semidirect
78. #16811315C22semidirect
79. #16811313C22semidirect
80. #16811313C22semidirect
81. #16811313C22semidirect
82. #16811312C22semidirect
83. #16811312C22semidirect
84. #16811311C22semidirect
85. #16811311C22semidirect
86. #16811310C22semidirect
87. #16811310C22semidirect
88. #16811310C22semidirect
89. #16811309C22semidirect
90. #16811308C22semidirect
91. #16811308C22semidirect
92. #16811306C22semidirect
93. #16811306C22semidirect
94. #16811304C22semidirect
95. #16811304C22semidirect
96. #16811302C22semidirect
97. #16811300C22semidirect
98. #16811299C22semidirect
99. #16811299C22semidirect
100. #16811299C22semidirect
101. #16811283C22semidirect
102. #16811281C22semidirect
103. #16811281C22semidirect
104. #16811280C22semidirect
105. #16811278C22semidirect
106. #16811273C22semidirect
107. #16811273C22semidirect
108. #16811272C22semidirect
109. #16811271C22semidirect
110. #16811267C22semidirect
111. #16811263C22semidirect
112. #16811260C22semidirect
113. #16811254C22semidirect
114. #16811253C22semidirect
115. #16811253C22semidirect
116. #16811252C22semidirect
117. #16811251C22semidirect
118. #16811251C22semidirect
119. #16811250C22semidirect
120. #16811250C22semidirect
121. #16811247C22semidirect
122. #16811244C22semidirect
123. #16811242C22semidirect
124. #16811241C22semidirect
125. #16811241C22semidirect
126. #16811240C22semidirect
127. #16811240C22semidirect
128. #16811238C22semidirect
129. #16811238C22semidirect
130. #16811237C22semidirect
131. #16811237C22semidirect
132. #16811236C22semidirect
133. #16811235C22semidirect
134. #16811233C22semidirect
135. #16811231C22semidirect
136. #16811230C22semidirect
137. #16811230C22semidirect
138. #16811227C22semidirect
139. #16811226C22semidirect
140. #16811224C22semidirect
141. #16811223C22semidirect
142. #16811223C22semidirect
143. #16811219C22semidirect
144. #16811216C22semidirect
145. #16811216C22semidirect
146. #16811214C22semidirect
147. #16811209C22semidirect
148. #16811207C22semidirect
149. #16811205C22semidirect
150. #16811205C22semidirect
151. #16811203C22semidirect
152. #16811203C22semidirect
157. #16811202C22semidirect
158. #16811202C22semidirect
159. #16811202C22semidirect
160. #16811202C22semidirect
161. #16811202C22semidirect
162. #16811202C22semidirect
163. #16811202C22semidirect
164. #16811202C22semidirect
166. #16811196C22semidirect
167. #16811196C22semidirect
170. #16811193C22semidirect
172. #16811189C22semidirect
173. #16811189C22semidirect
175. #16811186C22semidirect
179. #16811180C22semidirect
180. #16811178C22semidirect
181. #16811177C22semidirect
182. #16811176C22semidirect
183. #16811175C22semidirect
184. #16811175C22semidirect
185. #16811172C22semidirect
186. #16811171C22semidirect
187. #16811171C22semidirect
188. #16811170C22semidirect
189. #16811170C22semidirect
190. #16811170C22semidirect
191. #16811169C22semidirect
192. #16811168C22semidirect
193. #16811168C22semidirect
194. C4⋊Q8×D53C22semidirect
195. C4⋊Q8×D53C22semidirect
196. #16811158C22semidirect
197. #16811157C22semidirect
198. #16811156C22semidirect
199. #16811155C22semidirect
200. #16811155C22semidirect
201. #16811155C22semidirect
202. #16811154C22semidirect
203. #16811154C22semidirect
204. #16811153C22semidirect
205. #16811153C22semidirect
206. #16811152C22semidirect
207. #16811152C22semidirect
208. #16811151C22semidirect
209. #16811150C22semidirect
210. #16811150C22semidirect
211. #125×D53C22semidirect
212. #125×D53C22semidirect
215. #16811133C22semidirect
216. #16811133C22semidirect
217. #16811133C22semidirect
218. #16811132C22semidirect
219. #16811132C22semidirect
220. #16811132C22semidirect
221. #16811131C22semidirect
223. #16811130C22semidirect
225. C2×#13133197C22semidirect
226. C2×#13133196C22semidirect
227. C2×#13133194C22semidirect
230. C2×#13133189C22semidirect
232. C2×#13133188C22semidirect
234. #16811105C22semidirect
236. #16811104C22semidirect
237. #16811104C22semidirect
238. #16811104C22semidirect
239. #16811104C22semidirect
240. #16811104C22semidirect
242. #16811103C22semidirect
243. #16811103C22semidirect
244. #16811103C22semidirect
245. #16811103C22semidirect
246. #16811103C22semidirect
248. #16811102C22semidirect
249. #16811102C22semidirect
250. #16811102C22semidirect
251. #16811102C22semidirect
252. #16811102C22semidirect
253. #16811100C22semidirect
254. #16811100C22semidirect
255. #16811100C22semidirect
256. #16811098C22semidirect
260. #16811096C22semidirect
261. C4×#11719945C22semidirect
262. C4×#11719945C22semidirect
263. #16811091C22semidirect
264. #16811091C22semidirect
265. C4×#11719947C22semidirect
266. C4×#11719947C22semidirect
267. C4×#11719947C22semidirect
268. C4×#11719947C22semidirect
269. C4×Q8×D53C22semidirect
271. C4×D4×D53C22semidirect
272. C2×#13133176C22semidirect
273. C2×#13133173C22semidirect
277. #117×D53C22semidirect
278. #117×D53C22semidirect
279. #117×D53C22semidirect
281. C2×C4⋊C4×D53C22semidirect
282. C53×#555C22semidirect
283. C53×#553C22semidirect
284. C53×#553C22semidirect
285. C53×#551C22semidirect
286. C53×#547C22semidirect
287. C53×#546C22semidirect
288. C53×#544C22semidirect
289. C53×#542C22semidirect
290. C53×#540C22semidirect
292. C53×#532C22semidirect
293. C53×#529C22semidirect
295. C2×#121×C53C22semidirect
297. C53×#518C22semidirect
298. C2×#117×C53C22semidirect
923. C2×C4×D53#41semidirect
1351. #3494D53semidirect
1394. #555C2×D53semidirect
1423. #553C2×D53semidirect
1424. #553C2×D53semidirect
1448. #551C2×D53semidirect
1458. #547C2×D53semidirect
1462. #546C2×D53semidirect
1471. #544C2×D53semidirect
1483. #542C2×D53semidirect
1495. #540C2×D53semidirect
1548. #532C2×D53semidirect
1566. #529C2×D53semidirect
1590. C2×#121C2×D53semidirect
1620. #518C2×D53semidirect
1640. C2×#117C2×D53semidirect
1643. C53#62856semidirect

Maximal subgroups

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

subgroupindex
#202886342
#202886332
#202886302
#202886252
#202886202
#202886162
#202886152
#202885462
#202885422
#202884702
#202884692
#202884682
#202884672
#202884542
#202884472
#202884442
#202884402
#202884372
#202884312
#202884262
#202884192
#202884172
#202881412
#202881402
#202881302
#202881292
#544×D532
#202880462
#202880452
C2×#168112022
#202879162
#202879132
#520×D532
C53×#34942
#6285653