Finite Group Databasebeta

← #30588524

Subgroups — #30588524

Order 15616.

7220 conjugacy classes of subgroups.

The subgroup lattice has 2646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459925C212yesmaximal, complemented
2#21459892C212yesmaximal, complemented
3#21459874C214yesmaximal, complemented
4#21459809C212yesmaximal, complemented
5#21459764C212yesmaximal, complemented
6#21459746C214yesmaximal, complemented
7#21459742C212yesmaximal, complemented
8#21459736C211yesmaximal, characteristic, complemented
9#21459716C211yesmaximal, characteristic, complemented
10#21459711C212yesmaximal, complemented
11#21459642C211yesmaximal, characteristic, complemented
12#21459608C211yesmaximal, characteristic, complemented
13#21459566C212yesmaximal, complemented
14#21459554C211yesmaximal, characteristic, complemented
15#21459542C212yesmaximal, complemented
16#21459495C211yesmaximal, characteristic, complemented
17#21459480C211yesmaximal, characteristic, complemented
18#21459433C212yesmaximal, complemented
19#21459430C212yesmaximal, complemented
20#21459422C214yesmaximal, complemented
21#21459411C212yesmaximal, complemented
22#21459384C212yesmaximal, complemented
23#21459372C214yesmaximal, complemented
24#21459251C212yesmaximal, complemented
25#21459243C211yesmaximal, characteristic, complemented
26#21459242C211yesmaximal, characteristic, complemented
27#21459239C212yesmaximal, complemented
28#21459116C212yesmaximal, complemented
29#21459111C211yesmaximal, characteristic, complemented
30C2×#16840298C211yesmaximal, characteristic, complemented
31#529×D61C212yesmaximal, complemented
32#21459028C211yesmaximal, characteristic, complemented
33#21459025C211yesmaximal, characteristic, complemented
34C2×#16840230C211yesmaximal, characteristic, complemented
35C61×#3495C211yesmaximal, characteristic, complemented
36C2×#14519825C2211yescharacteristic
37C2×#14519823C2211yescharacteristic
38C22×#11758222C2211yescharacteristic
39#16840497C2212yescomplemented
40#16840497C2212yescomplemented
41#16840496C2214yescomplemented
42#16840494C2214yescomplemented
43#16840489C2212yescomplemented
44#16840487C2212yescomplemented
45#16840484C2212yescomplemented
46#16840484C2212yescomplemented
47#16840484C2214yescomplemented
48#16840483C2214yescomplemented
49#16840479C2214yescomplemented
50#16840475C2214yescomplemented
51#16840475C2212yescomplemented
52#16840473C2212yescomplemented
53#16840470C2214yescomplemented
54#16840468C2212yescomplemented
55#16840466C2214yescomplemented
56#16840466C2214yescomplemented
57#16840465C2214yescomplemented
58#16840465C2214yescomplemented
59#16840463C2214yescomplemented
60#16840463C2214yescomplemented
61#16840463C2214yescomplemented
62#16840463C2214yescomplemented
63#16840463C2214yescomplemented
64#16840461C2214yescomplemented
65#16840461C2214yescomplemented
66#16840460C2212yescomplemented
67#16840460C2212yescomplemented
68#16840458C2214yescomplemented
69#16840456C2212yescomplemented
70#16840456C2212yescomplemented
71#16840453C2214yescomplemented
72#16840451C2212yescomplemented
73#16840447C2212yescomplemented
74#16840445C2214yescomplemented
75#16840444C2214yescomplemented
76#16840444C2214yescomplemented
77#16840444C2214yescomplemented
78#16840444C2214yescomplemented
79#16840442C2214yescomplemented
80#16840439C2214yescomplemented
81#16840439C2214yescomplemented
82#16840437C2214yescomplemented
83#16840437C2214yescomplemented
84#16840436C2214yescomplemented
85#16840436C2214yescomplemented
86#16840436C2214yescomplemented
87#16840436C2214yescomplemented
88#16840436C2214yescomplemented
89#16840435C2214yescomplemented
90#16840433C2212yes—
91#16840425C2212yescomplemented
92#16840422C2212yescomplemented
93#16840422C2212yescomplemented
94#16840422C2212yescomplemented
95#16840421C2212yes—
96#16840414C2212yescomplemented
97#16840413C2214yescomplemented
98#16840413C2212yescomplemented
99#16840410C2214yescomplemented
100#16840408C2212yes—
101#16840407C2214yescomplemented
102#16840404C2214yes—
103#16840404C2214yescomplemented
104#16840404C2214yescomplemented
105#16840404C2214yescomplemented
106#16840403C2212yescomplemented
107#16840403C2212yescomplemented
108#16840403C2212yescomplemented
109#16840402C2214yescomplemented
110#16840402C2214yescomplemented
111D4×D244C2212yes—
112#16840394C2214yes—
113#16840392C2212yescomplemented
114#16840390C2211yescharacteristic, complemented
115#16840389C2212yescomplemented
116#16840386C2212yescomplemented
117#16840386C2212yescomplemented
118#16840385C2212yescomplemented
119#16840384C2212yescomplemented
120#16840384C2212yescomplemented
121#16840383C2212yescomplemented
122#16840382C2214yescomplemented
123#16840381C2212yescomplemented
124#16840378C2214yescomplemented
125#16840373C2212yescomplemented
126#16840372C2212yescomplemented
127#16840371C2214yescomplemented
128#16840370C2212yescomplemented
129#16840368C2212yescomplemented
130#16840368C2212yescomplemented
131#16840367C2212yescomplemented
132#16840364C2214yescomplemented
133#16840363C2212yescomplemented
134#16840360C2214yescomplemented
135#16840356C2214yescomplemented
136#16840353C2214yescomplemented
137#16840352C2214yescomplemented
138#16840351C2214yescomplemented
139#16840346C2214yescomplemented
140#16840343C2211yescharacteristic, complemented
141#16840342C2212yes—
142#16840342C2212yescomplemented
143#16840340C2211yescharacteristic
144#16840337C2212yescomplemented
145#16840336C2211yescharacteristic, complemented
146#16840335C2212yescomplemented
147#16840331C2211yescharacteristic
148#16840331C2211yescharacteristic, complemented
149#16840330C2212yescomplemented
150#16840328C2212yes—
151#16840318C2214yescomplemented
152#16840317C2212yescomplemented
153#16840317C2212yescomplemented
154#16840315C2211yescharacteristic, complemented
155#16840314C2212yescomplemented
156#16840314C2211yescharacteristic, complemented
157#16840314C2211yescharacteristic, complemented
158#16840313C2212yescomplemented
159#16840313C2212yescomplemented
160#16840313C2212yescomplemented
161#16840312C2212yescomplemented
162#16840311C2214yescomplemented
163#16840308C2211yescharacteristic, complemented
164#16840307C2211yescharacteristic, complemented
165#16840307C2211yescharacteristic, complemented
166#16840299C2212yescomplemented
167#16840299C2212yescomplemented
168#16840299C2212yescomplemented
169#16840299C2214yescomplemented
170#16840298C2211yescharacteristic, complemented
171#16840298C2212yescomplemented
172#16840298C2214yescomplemented
173#16840298C2212yescomplemented
174#16840298C2212yescomplemented
175#16840298C2212yescomplemented
176#16840298C2212yescomplemented
177#16840298C2212yescomplemented
178#16840298C2212yescomplemented
179#16840298C2212yescomplemented
180#16840298C2212yescomplemented
181#16840298C2211yescharacteristic, complemented
182#16840297C2212yescomplemented
183#16840297C2212yescomplemented
184#16840297C2214yescomplemented
185#16840297C2214yescomplemented
186#16840297C2214yescomplemented
187#16840296C2212yescomplemented
188#16840295C2214yescomplemented
189#16840295C2214yescomplemented
190#16840295C2214yescomplemented
191#16840295C2214yescomplemented
192#16840294C2212yescomplemented
193#16840293C2211yescharacteristic, complemented
194#16840293C2211yescharacteristic, complemented
195#16840292C2214yescomplemented
196#16840292C2212yescomplemented
197#16840292C2212yescomplemented
198#16840291C2212yescomplemented
199#16840290C2214yescomplemented
200#16840289C2214yescomplemented
201#16840289C2214yescomplemented
202#16840289C2212yescomplemented
203#16840289C2212yescomplemented
204C2×#14519772C2212yescomplemented
205#126×D61C2214yescomplemented
206C2×#14519768C2211yescharacteristic, complemented
207#125×D61C2212yescomplemented
208C2×#14519766C2211yescharacteristic, complemented
209#124×D61C2212yescomplemented
210#16840275C2212yes—
211#16840275C2214yescomplemented
212#16840275C2212yescomplemented
213#16840275C2214yescomplemented
214#16840275C2214yescomplemented
215#16840274C2214yescomplemented
216#16840273C2211yescharacteristic, complemented
217#16840270C2214yescomplemented
218#16840268C2212yescomplemented
219#16840268C2212yescomplemented
220C2×#14519761C2212yescomplemented
221#123×D61C2214yescomplemented
222C22⋊Q8×D61C2212yescomplemented
223C2×#14519751C2211yescharacteristic
224#121×D61C2212yes—
225#16840244C2212yescomplemented
226#16840244C2212yescomplemented
227#16840244C2212yescomplemented
228#16840243C2211yescharacteristic
229#16840243C2212yescomplemented
230#16840242C2211yescharacteristic
231#16840242C2211yescharacteristic, complemented
232#16840242C2214yescomplemented
233#16840238C2212yescomplemented
234#16840238C2212yescomplemented
235#16840236C2211yescharacteristic, complemented
236#16840236C2212yescomplemented
237#16840234C2214yescomplemented
238#16840234C2212yescomplemented
239#41×Dic61C2211yescharacteristic, complemented
240C4×#11758226C2212yescomplemented
241C4×#11758226C2212yescomplemented
242C4×#11758226C2212yescomplemented
243C4×#11758226C2214yescomplemented
244#16840230C2211yescharacteristic
245#16840230C2211yescharacteristic
246#16840230C2211yescharacteristic, complemented
247#16840230C2212yescomplemented
248#16840230C2212yescomplemented
249#16840230C2211yescharacteristic, complemented
250#16840230C2211yescharacteristic, complemented
251#16840230C2212yescomplemented
252#16840230C2212yescomplemented
253#16840230C2211yescharacteristic, complemented
254#16840230C2211yescharacteristic, complemented
255#16840230C2211yescharacteristic, complemented
256#16840230C2211yescharacteristic, complemented
257#16840230C2212yescomplemented
258#16840230C2214yescomplemented
259#16840230C2214yescomplemented
260C4×#11758224C2212yescomplemented
261C4×#11758224C2212yescomplemented
262C2×Q8×Dic61C2211yescharacteristic, complemented
263C2×#14519742C2211yescharacteristic, complemented
264C2×#14519742C2211yescharacteristic, complemented
265C4×Q8×D61C2212yescomplemented
266C4×Q8×D61C2212yescomplemented
267C2×#14519739C2211yescharacteristic, complemented
268C2×#14519739C2211yescharacteristic, complemented
269C2×#14519739C2211yescharacteristic, complemented
270C2×#14519739C2212yescomplemented
271C2×#14519737C2212yescomplemented
272C2×#14519737C2212yescomplemented
273C2×#14519737C2212yescomplemented
274C4×D4×D61C2212yescomplemented
275C4×D4×D61C2214yescomplemented
276C4×D4×D61C2214yescomplemented
277C2×#14519735C2212yescomplemented
278C2×#14519734C2212yescomplemented
279#117×D61C2214yescomplemented
280C22×C4×Dic61C2211yescharacteristic, complemented
281C2×C42×D61C2212yescomplemented
282C61×#556C2212yescomplemented
283C61×#554C2212yescomplemented
284C61×#552C2212yescomplemented
285C61×#552C2214yescomplemented
286C61×#552C2212yescomplemented
287C61×#551C2214yescomplemented
288C61×#544C2211yescharacteristic, complemented
289C61×#542C2212yescomplemented
290C61×#541C2212yescomplemented
291C61×#536C2211yescharacteristic, complemented
292C61×#533C2212yescomplemented
293C61×#529C2212yescomplemented
294C61×#525C2211yescharacteristic
295C2×C22⋊Q8×C61C2211yescharacteristic, complemented
296C61×#520C2211yescharacteristic, complemented
297C61×#519C2211yescharacteristic, complemented
298C2×#117×C61C2211yescharacteristic, complemented
299#14519825—28no—
300#14519823—28no—
301C2×#11758226C2312yes—
302C2×#11758226C2312yes—
303C2×#11758226C2312yes—
304C2×#11758226C2314yes—
305C2×#11758222—28no—
306C2×#11758222C2312yes—
307C2×#11758222C2311yescharacteristic
308C2×#11758222C2312yes—
309C2×#11758222C2311yescharacteristic
310C2×#11758222C2311yescharacteristic
311C2×#11758222C2311yescharacteristic
312C2×#11758222C2314yes—
313C2×#11758222C2312yes—
314C2×#11758222C2314yes—
315C2×#11758222C2311yescharacteristic
316C2×#11758224C2312yes—
317C2×#11758224C2312yes—
318C22×Dic122C2311yescharacteristic
319C2×Q8×D61C2312yes—
320C2×Q8×D61C2312yes—
321C22×D244C2311yescharacteristic
322C22×D244C2311yescharacteristic
323C22×D244C2312yes—
324C22×C22⋊D61C2312yes—
325C22×C22⋊D61C2312yes—
326C2×D4×D61C2312yes—
327C2×D4×D61C2314yes—
328C2×D4×D61C2314yes—
329C23×Dic61C2311yescharacteristic
330C23×Dic61C2311yescharacteristic
331C22×C4×D61C2312yes—
332C22×C4×D61C2312yes—
333C22×C4×D61C2312yes—
334C22×C4×D61C2314yes—
335C22×C4×D61C2312yes—
336#14519777C2312yes—
337#14519776C2312yes—
338#14519776C2314yes—
339#14519776C2314yes—
340#14519776C2311yescharacteristic
341#14519776C2311yescharacteristic
342#14519775C2314yes—
343#14519775C2312yes—
344#14519775C2311yescharacteristic
345#14519774C2312yes—
346#14519774C2312yes—
347#14519773C2314yes—
348#14519773C2311yescharacteristic
349#14519772C2314yes—
350#14519772C2314yes—
351#14519772C2314yes—
352#14519772C2314yes—
353#14519772C2314yes—
354#14519772C2314yes—
355#14519772C2314yes—
356#14519772C2312yes—
357#14519772C2314yes—
358#14519772C2314yes—
359#14519772C2314yes—
360#14519772C2314yes—
361#14519772C2314yes—
362#14519772C2314yes—
363#14519772C2312yes—
364#14519771C2314yes—
365#14519771C2314yes—
366#14519771C2314yes—
367#14519771C2314yes—
368#14519770C2314yes—
369#14519770C2314yes—
370#14519770C2312yes—
371#14519770C2312yes—
372#14519770C2314yes—
373#14519769C2314yes—
374#14519769C2312yes—
375#14519768C2312yes—
376#14519768C2312yes—
377#14519768C2312yes—
378#14519768C2311yescharacteristic
379#14519768C2312yes—
380#14519768C2312yes—
381#14519768C2311yescharacteristic
382#14519768C2314yes—
383#14519767C2312yes—
384#14519767C2314yes—
385#14519767C2314yes—
386#14519767C2314yes—
387#14519767C2314yes—
388#14519767C2314yes—
389#14519767C2314yes—
390#14519767C2314yes—
391#14519767C2312yes—
392#14519766C2314yes—
393#14519766C2312yes—
394#14519766C2312yes—
395#14519766C2312yes—
396#14519766C2312yes—
397#14519766C2312yes—
398#14519766C2311yescharacteristic
399#14519766C2314yes—
400#14519765C2314yes—
401#14519765C2314yes—
402#14519765C2312yes—
403#14519765C2314yes—
404#14519765C2312yes—
405#14519764C2311yescharacteristic
406#14519763C2312yes—
407#14519763C2314yes—
408#14519763C2314yes—
409#14519763C2314yes—
410#14519763C2314yes—
411#14519763C2314yes—
412#14519763C2314yes—
413#14519763C2312yes—
414#14519762C2314yes—
415#14519762C2314yes—
416#14519762C2314yes—
417#14519762C2314yes—
418#14519762C2314yes—
419#14519762C2314yes—
420#14519762C2314yes—
421#14519762C2314yes—
422#14519762C2314yes—
423#14519762C2314yes—
424#14519762C2314yes—
425#14519762C2314yes—
426#14519762C2314yes—
427#14519762C2314yes—
428#14519762C2314yes—
429#14519762C2314yes—
430#14519761C2312yes—
431#14519761C2314yes—
432#14519761C2314yes—
433#14519761C2314yes—
434#14519761C2314yes—
435#14519761C2314yes—
436#14519761C2312yes—
437#14519760C2314yes—
438#14519760C2314yes—
439#14519760C2312yes—
440#14519760C2314yes—
441#14519759C2314yes—
442#14519759C2314yes—
443#14519759C2314yes—
444#14519759C2314yes—
445#14519759C2314yes—
446#14519758C2312yes—
447#14519758C2312yes—
448#14519757C2312yes—
449#14519757C2314yes—
450#14519757C2314yes—
451#14519757C2312yes—
452#14519757C2314yes—
453#14519756C2312yes—
454#14519756C2311yescharacteristic
455#14519756C2311yescharacteristic
456#14519755C2314yes—
457#14519755C2314yes—
458#14519755C2314yes—
459#14519755C2314yes—
460#14519755C2314yes—
461#14519755C2314yes—
462#14519755C2314yes—
463#14519755C2314yes—
464#14519755C2314yes—
465#14519755C2314yes—
466#14519754C2312yes—
467#14519754C2312yes—
468#14519754C2314yes—
469#14519754C2314yes—
470#14519754C2312yes—
471#14519754C2314yes—
472#14519754C2312yes—
473#14519753C2314yes—
474#14519753C2314yes—
475#14519753C2314yes—
476#14519753C2312yes—
477#14519753C2312yes—
478#14519753C2312yes—
479#14519752C2312yes—
480#14519752C2312yes—
481#14519752C2314yes—
482#14519752C2314yes—
483#14519752C2314yes—
484#14519752C2314yes—
485#14519752C2314yes—
486#14519752C2314yes—
487#14519752C2312yes—
488#14519752C2312yes—
489#14519752C2314yes—
490#14519752C2312yes—
491#14519752C2312yes—
492#14519751C2312yes—
493#14519751C2312yes—
494#14519751C2314yes—
495#14519751C2314yes—
496#14519751C2314yes—
497#14519751C2312yes—
498#14519751C2312yes—
499#14519751C2312yes—
500#14519751C2311yescharacteristic
501#14519751C2311yescharacteristic
502#14519750C2314yes—
503#14519750C2314yes—
504#14519750C2314yes—
505#14519750C2314yes—
506#14519750C2314yes—
507#14519750C2314yes—
508#14519750C2314yes—
509#14519750C2314yes—
510#14519750C2314yes—
511#14519750C2314yes—
512#14519749C2312yes—
513#14519749C2314yes—
514#14519749C2312yes—
515#14519749C2312yes—
516#14519749C2314yes—
517#14519749C2312yes—
518#14519748C2312yes—
519#14519747C2314yes—
520#14519747C2314yes—
521#14519747C2314yes—
522#14519747C2314yes—
523#14519747C2314yes—
524#14519747C2314yes—
525#14519747C2314yes—
526#14519746C2312yes—
527#14519745C2314yes—
528Q8×Dic61C2314yes—
529Q8×Dic61C2312yes—
530Q8×Dic61C2312yes—
531Q8×Dic61C2312yes—
532Q8×Dic61C2312yes—
533Q8×Dic61C2311yescharacteristic
534Q8×Dic61C2311yescharacteristic
535C4×Dic122C2312yes—
536C4×Dic122C2312yes—
537C4×Dic122C2314yes—
538C4×Dic122C2312yes—
539C4×Dic122C2314yes—
540C4×Dic122C2312yes—
541#14519742C2311yescharacteristic
542#14519742C2314yes—
543#14519742C2314yes—
544#14519742C2312yes—
545#14519742C2311yescharacteristic
546#14519742C2314yes—
547#14519742C2311yescharacteristic
548#14519742C2312yes—
549#14519742C2311yescharacteristic
550#14519742C2311yescharacteristic
551#14519742C2311yescharacteristic
552#14519742C2311yescharacteristic
553#14519742C2312yes—
554#14519742C2311yescharacteristic
555#14519742C2312yes—
556#14519742C2311yescharacteristic
557#14519742C2312yes—
558#14519742C2312yes—
559#14519742C2312yes—
560#14519742C2311yescharacteristic
561#14519742C2314yes—
562C4×D244C2314yes—
563C4×D244C2314yes—
564C4×D244C2314yes—
565C4×D244C2314yes—
566C4×D244C2314yes—
567C4×D244C2312yes—
568C4×D244C2312yes—
569C4×D244C2314yes—
570C4×D244C2312yes—
571C4×D244C2314yes—
572C4×D244C2314yes—
573C4×D244C2312yes—
574D4×Dic61C2312yes—
575D4×Dic61C2312yes—
576D4×Dic61C2311yescharacteristic
577D4×Dic61C2312yes—
578D4×Dic61C2312yes—
579D4×Dic61C2311yescharacteristic
580#14519739C2311yescharacteristic
581#14519739C2312yes—
582#14519739C2311yescharacteristic
583#14519739C2312yes—
584#14519739C2314yes—
585#14519739C2314yes—
586#14519739C2314yes—
587#14519739C2314yes—
588#14519739C2314yes—
589#14519739C2312yes—
590#14519739C2312yes—
591#14519739C2311yescharacteristic
592#14519739C2312yes—
593#14519739C2311yescharacteristic
594#14519739C2314yes—
595#14519739C2312yes—
596#14519739C2314yes—
597#14519739C2311yescharacteristic
598#14519739C2312yes—
599#14519739C2311yescharacteristic
600#14519739C2312yes—
601#14519739C2311yescharacteristic
602#14519739C2312yes—
603#14519739C2311yescharacteristic
604#14519739C2312yes—
605#14519739C2312yes—
606#14519739C2314yes—
607#14519739C2314yes—
608#14519739C2311yescharacteristic
609#14519739C2311yescharacteristic
610#14519739C2314yes—
611C4×C22⋊D61C2312yes—
612C4×C22⋊D61C2312yes—
613C4×C22⋊D61C2312yes—
614C4×C22⋊D61C2314yes—
615C4×C22⋊D61C2314yes—
616C4×C22⋊D61C2312yes—
617C4×C22⋊D61C2314yes—
618C4×C22⋊D61C2314yes—
619C4×C22⋊D61C2314yes—
620#14519737C2312yes—
621#14519737C2314yes—
622#14519737C2312yes—
623#14519737C2314yes—
624#14519737C2314yes—
625#14519737C2312yes—
626#14519737C2312yes—
627#14519737C2312yes—
628#14519737C2312yes—
629#14519737C2312yes—
630#14519737C2314yes—
631#14519737C2312yes—
632#14519737C2314yes—
633#14519737C2312yes—
634#14519737C2314yes—
635#14519737C2314yes—
636#14519737C2312yes—
637#14519737C2312yes—
638#14519737C2314yes—
639#14519737C2314yes—
640#14519737C2314yes—
641#14519737C2312yes—
642#14519737C2312yes—
643#14519737C2312yes—
644#14519737C2312yes—
645#14519737C2312yes—
646#14519737C2312yes—
647#14519737C2312yes—
648#14519737C2314yes—
649#14519737C2312yes—
650#14519737C2312yes—
651#14519737C2312yes—
652#14519737C2312yes—
653#14519736C2314yes—
654#14519736C2311yescharacteristic
655#14519736C2312yes—
656#14519735C2314yes—
657#14519735C2312yes—
658#14519735C2312yes—
659#14519735C2314yes—
660#14519735C2314yes—
661#14519735C2314yes—
662#14519735C2314yes—
663#14519735C2312yes—
664#14519735C2312yes—
665#14519735C2314yes—
666#14519735C2312yes—
667#14519735C2314yes—
668#14519735C2314yes—
669#14519735C2314yes—
670#14519734C2314yes—
671#14519734C2312yes—
672#14519734C2314yes—
673#14519734C2314yes—
674#14519734C2312yes—
675#14519734C2314yes—
676#14519734C2314yes—
677#14519734C2314yes—
678#14519734C2312yes—
679#14519734C2312yes—
680#14519734C2312yes—
681#14519734C2312yes—
682#14519734C2312yes—
683#14519734C2312yes—
684#14519734C2314yes—
685#14519734C2312yes—
686#14519733C2312yes—
687#14519733C2314yes—
688#14519733C2312yes—
689#14519733C2312yes—
690#14519733C2312yes—
691C2×C4⋊Dic61C2312yes—
692C2×C4⋊Dic61C2311yescharacteristic
693C2×C4⋊Dic61C2312yes—
694C2×#11758196C2312yes—
695C2×#11758196C2312yes—
696C2×#11758196C2312yes—
697C4⋊C4×D61C2312yes—
698C4⋊C4×D61C2314yes—
699C4⋊C4×D61C2314yes—
700C4⋊C4×D61C2314yes—
701C4⋊C4×D61C2314yes—
702C4⋊C4×D61C2314yes—
703C4⋊C4×D61C2312yes—
704C4⋊C4×D61C2312yes—
705C4⋊C4×D61C2314yes—
706C2×#11758198C2312yes—
707C2×#11758198C2312yes—
708C2×#11758198C2312yes—
709C2×#11758198C2312yes—
710C2×#11758198C2312yes—
711C2×#11758198C2312yes—
712C2×#11758198C2314yes—
713C22⋊C4×D61C2314yes—
714C22⋊C4×D61C2314yes—
715C22⋊C4×D61C2314yes—
716C22⋊C4×D61C2314yes—
717C22⋊C4×D61C2314yes—
718C22⋊C4×D61C2314yes—
719C22⋊C4×D61C2314yes—
720C2×C4×Dic61C2311yescharacteristic
721C2×C4×Dic61C2312yes—
722C2×C4×Dic61C2312yes—
723C2×C4×Dic61C2311yescharacteristic
724C2×C4×Dic61C2311yescharacteristic
725C2×C4×Dic61C2311yescharacteristic
726C2×C4×Dic61C2311yescharacteristic
727C2×C4×Dic61C2311yescharacteristic
728C2×C4×Dic61C2311yescharacteristic
729C2×C4×Dic61C2311yescharacteristic
730C2×C4×Dic61C2311yescharacteristic
731C2×C4×Dic61C2311yescharacteristic
732C2×C4×Dic61C2311yescharacteristic
733C2×C4×Dic61C2311yescharacteristic
734C2×C4×Dic61C2312yes—
735C2×C4×Dic61C2312yes—
736C42×D61C2312yes—
737C42×D61C2312yes—
738C42×D61C2312yes—
739C42×D61C2312yes—
740C42×D61C2312yes—
741C42×D61C2312yes—
742C42×D61C2312yes—
743C42×D61C2312yes—
744C42×D61C2314yes—
745C42×D61C2314yes—
746C42×D61C2312yes—
747C42×D61C2314yes—
748C2×#41×C61C2311yescharacteristic
749C22×Q8×C61C2311yescharacteristic
750C23×C4×C61C2311yescharacteristic
751C4⋊Q8×C61C2312yes—
752C4⋊Q8×C61C2312yes—
753C4⋊Q8×C61C2312yes—
754#126×C61C2314yes—
755#126×C61C2314yes—
756#126×C61C2314yes—
757#126×C61C2314yes—
758#125×C61C2314yes—
759#125×C61C2312yes—
760#125×C61C2314yes—
761#125×C61C2314yes—
762#125×C61C2312yes—
763#124×C61C2312yes—
764#124×C61C2314yes—
765#123×C61C2314yes—
766#123×C61C2314yes—
767#123×C61C2314yes—
768#123×C61C2312yes—
769C22⋊Q8×C61C2311yescharacteristic
770C22⋊Q8×C61C2314yes—
771C22⋊Q8×C61C2312yes—
772C22⋊Q8×C61C2312yes—
773C22⋊Q8×C61C2312yes—
774C22⋊Q8×C61C2311yescharacteristic
775C22⋊Q8×C61C2312yes—
776C22⋊Q8×C61C2314yes—
777C22⋊Q8×C61C2314yes—
778C22⋊Q8×C61C2312yes—
779C22⋊Q8×C61C2312yes—
780#121×C61C2311yescharacteristic
781#121×C61C2311yescharacteristic
782#120×C61C2312yes—
783C4×Q8×C61C2314yes—
784C4×Q8×C61C2312yes—
785C4×Q8×C61C2312yes—
786C4×Q8×C61C2312yes—
787C4×Q8×C61C2312yes—
788C4×Q8×C61C2312yes—
789C4×D4×C61C2314yes—
790C4×D4×C61C2312yes—
791C4×D4×C61C2314yes—
792C4×D4×C61C2312yes—
793C4×D4×C61C2312yes—
794#117×C61C2314yes—
795#117×C61C2312yes—
796#117×C61C2311yescharacteristic
797#117×C61C2311yescharacteristic
798#117×C61C2312yes—
799#117×C61C2311yescharacteristic
800#117×C61C2314yes—
801#117×C61C2314yes—
802#117×C61C2311yescharacteristic
803#117×C61C2312yes—
804#117×C61C2311yescharacteristic
805C2×C4⋊C4×C61C2311yescharacteristic
806C2×C4⋊C4×C61C2312yes—
807C2×C4⋊C4×C61C2311yescharacteristic
808C2×C4⋊C4×C61C2312yes—
809C2×C4⋊C4×C61C2311yescharacteristic
810C2×C22⋊C4×C61C2312yes—
811C2×C22⋊C4×C61C2312yes—
812C2×C42×C61C2312yes—
813C24×C61C2411yescharacteristic
814C23×D61C2412yes—
815C23×D61C2414yes—
816C23×D61C2412yes—
817#41×C61—24no—
818C2×Q8×C61—24no—
819C2×Q8×C61C2412yes—
820C2×Q8×C61C2412yes—
821C2×Q8×C61C2411yescharacteristic
822C2×Q8×C61C2414yes—
823C2×D4×C61C2412yes—
824C2×D4×C61C2412yes—
825C2×D4×C61C2411yescharacteristic
826C2×D4×C61C2412yes—
827C22×C4×C61—24no—
828C22×C4×C61C2411yescharacteristic
829C22×C4×C61C2412yes—
830C22×C4×C61C2411yescharacteristic
831C22×C4×C61C2412yes—
832C22×C4×C61C2412yes—
833C22×C4×C61C2411yescharacteristic
834C22×C4×C61C2411yescharacteristic
835C22×C4×C61C2411yescharacteristic
836C22×C4×C61C2412yes—
837C22×C4×C61C2412yes—
838C22×C4×C61C2414yes—
839C22×C4×C61C2411yescharacteristic
840C2×C22⋊D61—28no—
841C2×C22⋊D61—44no—
842C2×C22⋊D61C2414yes—
843C2×C22⋊D61C2414yes—
844C2×C22⋊D61C2412yes—
845C2×C22⋊D61C2412yes—
846C2×C22⋊D61C2412yes—
847C2×C22⋊D61C2412yes—
848C2×C22⋊D61C2412yes—
849C2×C22⋊D61C2414yes—
850C2×C22⋊D61C2414yes—
851C2×C22⋊D61C2412yes—
852C2×C22⋊D61C2412yes—
853C2×C22⋊D61C2412yes—
854C2×C22⋊D61C2412yes—
855C22×Dic61—42no—
856C22×Dic61—42no—
857C22×Dic61C2411yescharacteristic
858C22×Dic61C2411yescharacteristic
859C22×Dic61C2411yescharacteristic
860C22×Dic61C2412yes—
861C22×Dic61C2412yes—
862C22×Dic61C2411yescharacteristic
863C22×Dic61C2411yescharacteristic
864C22×Dic61C2411yescharacteristic
865C22×Dic61C2411yescharacteristic
866C22×Dic61C2411yescharacteristic
867C22×Dic61C2411yescharacteristic
868C22×Dic61C2411yescharacteristic
869C22×Dic61C2411yescharacteristic
870C22×Dic61C2411yescharacteristic
871C22×Dic61C2412yes—
872C22×Dic61C2412yes—
873#11758226—28no—
874#11758226—28no—
875#11758226—28no—
876#11758226—48no—
877Q8×D61—28no—
878Q8×D61—28no—
879#11758224—44no—
880#11758224—44no—
881D4×D61—216no—
882D4×D61—28no—
883D4×D61—48no—
884#11758222—24no—
885#11758222—24no—
886#11758222—28no—
887#11758222—216no—
888#11758222—24no—
889#11758222—28no—
890#11758222—24no—
891#11758222—28no—
892#11758222—48no—
893#11758222#4118yescomplemented
894C2×D244—24no—
895C2×D244—24no—
896C2×D244—28no—
897C2×D244C2414yes—
898C2×D244C2412yes—
899C2×D244C2412yes—
900C2×D244C2412yes—
901C2×D244C2411yescharacteristic
902C2×D244C2414yes—
903C2×D244C2411yescharacteristic
904C2×D244C2414yes—
905C2×D244C2414yes—
906C2×D244C2414yes—
907C2×D244C2414yes—
908C2×D244C2414yes—
909C2×D244C2411yescharacteristic
910C2×C4×D61—28no—
911C2×C4×D61—48no—
912C2×C4×D61—44no—
913C2×C4×D61—44no—
914C2×C4×D61—44no—
915C2×C4×D61C2412yes—
916C2×C4×D61C2414yes—
917C2×C4×D61C2412yes—
918C2×C4×D61C2412yes—
919C2×C4×D61C2412yes—
920C2×C4×D61C2412yes—
921C2×C4×D61C2414yes—
922C2×C4×D61C2414yes—
923C2×C4×D61C2414yes—
924C2×C4×D61C2412yes—
925C2×C4×D61C2412yes—
926C2×C4×D61C2412yes—
927C2×C4×D61C2412yes—
928C2×C4×D61C2412yes—
929C2×C4×D61C2412yes—
930C2×C4×D61C2412yes—
931C2×C4×D61C2412yes—
932C2×C4×D61C2414yes—
933C2×C4×D61C2414yes—
934C2×C4×D61C2414yes—
935C2×C4×D61C2414yes—
936C2×C4×D61C2412yes—
937C2×C4×D61C2414yes—
938C2×C4×D61C2414yes—
939C2×C4×D61C2412yes—
940C2×Dic122—24no—
941C2×Dic122C2414yes—
942C2×Dic122C2411yescharacteristic
943C2×Dic122C2412yes—
944C2×Dic122C2411yescharacteristic
945C2×Dic122C2412yes—
946C2×Dic122C2412yes—
947C2×Dic122C2414yes—
948C2×Dic122C2411yescharacteristic
949C4⋊C4×C61C2411yescharacteristic
950C4⋊C4×C61C2412yes—
951C4⋊C4×C61C2411yescharacteristic
952C4⋊C4×C61C2411yescharacteristic
953C4⋊C4×C61C2412yes—
954C4⋊C4×C61C2411yescharacteristic
955C4⋊C4×C61C2412yes—
956C4⋊C4×C61C2414yes—
957C4⋊C4×C61C2412yes—
958C4⋊C4×C61C2414yes—
959C4⋊C4×C61C2414yes—
960C4⋊C4×C61C2411yescharacteristic
961C4⋊C4×C61C2411yescharacteristic
962C4⋊C4×C61C2414yes—
963C4⋊C4×C61C2414yes—
964C4⋊C4×C61C2414yes—
965C4⋊C4×C61C2414yes—
966C4⋊C4×C61C2414yes—
967C4⋊C4×C61C2412yes—
968C4⋊C4×C61C2412yes—
969C4⋊C4×C61C2414yes—
970C4⋊C4×C61C2414yes—
971C22⋊C4×C61C2412yes—
972C22⋊C4×C61C2412yes—
973C22⋊C4×C61C2412yes—
974C22⋊C4×C61C2412yes—
975C22⋊C4×C61C2414yes—
976C22⋊C4×C61C2414yes—
977C22⋊C4×C61C2412yes—
978C22⋊C4×C61C2412yes—
979C22⋊C4×C61C2412yes—
980C22⋊C4×C61C2414yes—
981C22⋊C4×C61C2414yes—
982C22⋊C4×C61C2412yes—
983C22⋊C4×C61C2412yes—
984C22⋊C4×C61C2414yes—
985C42×C61C2412yes—
986C42×C61C2412yes—
987C42×C61C2412yes—
988C42×C61C2412yes—
989C42×C61C2414yes—
990C42×C61C2414yes—
991C42×C61C2414yes—
992C42×C61C2412yes—
993C22⋊Dic61C2412yes—
994C22⋊Dic61C2412yes—
995C22⋊Dic61C2412yes—
996C22⋊Dic61C2412yes—
997C22⋊Dic61C2412yes—
998C22⋊Dic61C2412yes—
999C22⋊Dic61C2414yes—
1000C22⋊Dic61C2412yes—
1001#11758198C2412yes—
1002#11758198C2414yes—
1003#11758198C2414yes—
1004#11758198C2414yes—
1005#11758198C2414yes—
1006#11758198C2414yes—
1007#11758198C2414yes—
1008#11758198C2414yes—
1009#11758198C2414yes—
1010#11758198C2414yes—
1011#11758198C2414yes—
1012#11758198C2414yes—
1013#11758198C2414yes—
1014#11758198C2412yes—
1015#11758198C2414yes—
1016#11758198C2412yes—
1017#11758198C2412yes—
1018#11758198C2412yes—
1019#11758198C2412yes—
1020#11758198C2412yes—
1021#11758198C2412yes—
1022#11758198C2414yes—
1023#11758198C2414yes—
1024#11758198C2414yes—
1025#11758198C2412yes—
1026#11758198C2412yes—
1027#11758198C2414yes—
1028#11758198C2412yes—
1029#11758198C2414yes—
1030#11758198C2414yes—
1031#11758198C2414yes—
1032#11758198C2412yes—
1033#11758198C2412yes—
1034#11758198C2412yes—
1035#11758198C2414yes—
1036#11758198C2414yes—
1037C4⋊Dic61C2412yes—
1038C4⋊Dic61C2411yescharacteristic
1039C4⋊Dic61C2412yes—
1040C4⋊Dic61C2414yes—
1041C4⋊Dic61C2412yes—
1042C4⋊Dic61C2412yes—
1043C4⋊Dic61C2414yes—
1044C4⋊Dic61C2414yes—
1045C4⋊Dic61C2414yes—
1046C4⋊Dic61C2414yes—
1047C4⋊Dic61C2411yescharacteristic
1048C4⋊Dic61C2412yes—
1049C4⋊Dic61C2412yes—
1050C4⋊Dic61C2414yes—
1051#11758196C2412yes—
1052#11758196C2412yes—
1053#11758196C2412yes—
1054#11758196C2412yes—
1055#11758196C2414yes—
1056#11758196C2414yes—
1057#11758196C2412yes—
1058#11758196C2414yes—
1059#11758196C2414yes—
1060#11758196C2414yes—
1061#11758196C2414yes—
1062#11758196C2414yes—
1063#11758196C2412yes—
1064#11758196C2412yes—
1065#11758196C2412yes—
1066#11758196C2412yes—
1067#11758196C2412yes—
1068#11758196C2412yes—
1069#11758196C2414yes—
1070#11758196C2412yes—
1071#11758196C2412yes—
1072#11758196C2412yes—
1073#11758196C2412yes—
1074#11758196C2412yes—
1075#11758196C2412yes—
1076#11758196C2412yes—
1077#11758196C2414yes—
1078#11758196C2414yes—
1079C4×Dic61C2412yes—
1080C4×Dic61C2411yescharacteristic
1081C4×Dic61C2411yescharacteristic
1082C4×Dic61C2411yescharacteristic
1083C4×Dic61C2411yescharacteristic
1084C4×Dic61C2412yes—
1085C4×Dic61C2411yescharacteristic
1086C4×Dic61C2412yes—
1087C4×Dic61C2414yes—
1088C4×Dic61C2412yes—
1089C4×Dic61C2412yes—
1090C4×Dic61C2412yes—
1091C4×Dic61C2412yes—
1092C4×Dic61C2412yes—
1093C4×Dic61C2412yes—
1094C4×Dic61C2412yes—
1095C4×Dic61C2412yes—
1096C4×Dic61C2414yes—
1097C4×Dic61C2414yes—
1098C4×Dic61C2414yes—
1099C4×Dic61C2411yescharacteristic
1100C4×Dic61C2411yescharacteristic
1101C4×Dic61C2411yescharacteristic
1102C4×Dic61C2411yescharacteristic
1103C4×Dic61C2411yescharacteristic
1104C4×Dic61C2411yescharacteristic
1105C4×Dic61C2411yescharacteristic
1106C4×Dic61C2411yescharacteristic
1107C4×Dic61C2411yescharacteristic
1108C4×Dic61C2411yescharacteristic
1109C4×Dic61C2411yescharacteristic
1110C4×Dic61C2412yes—
1111C4×Dic61C2414yes—
1112C4×Dic61C2412yes—
1113C23×C61—22no—
1114C23×C61—22no—
1115C23×C61—41no—
1116C23×C61C2512yes—
1117C23×C61C2511yescharacteristic
1118C23×C61C2511yescharacteristic
1119C23×C61C2511yescharacteristic
1120C22×D61—24no—
1121C22×D61—24no—
1122C22×D61—24no—
1123C22×D61—28no—
1124C22×D61—42no—
1125C22×D61—44no—
1126C22×D61—42no—
1127C22×D61—44no—
1128C22×D61—42no—
1129C22×D61C2514yes—
1130C22×D61C2512yes—
1131C22×D61C2512yes—
1132C22×D61C2512yes—
1133Q8×C61—24no—
1134Q8×C61—24no—
1135Q8×C61—22no—
1136Q8×C61—44no—
1137D4×C61—24no—
1138D4×C61—24no—
1139D4×C61—22no—
1140D4×C61—42no—
1141C2×C4×C61—22no—
1142C2×C4×C61—24no—
1143C2×C4×C61—24no—
1144C2×C4×C61—22no—
1145C2×C4×C61—22no—
1146C2×C4×C61—24no—
1147C2×C4×C61—22no—
1148C2×C4×C61—22no—
1149C2×C4×C61—44no—
1150C2×C4×C61—42no—
1151C2×C4×C61—42no—
1152C2×C4×C61C2×#4114yes—
1153C2×C4×C61C2511yescharacteristic
1154C2×C4×C61C2512yes—
1155C2×C4×C61C2511yescharacteristic
1156C2×C4×C61C2512yes—
1157C2×C4×C61C2512yes—
1158C2×C4×C61C2512yes—
1159C2×C4×C61C2512yes—
1160C2×C4×C61C2512yes—
1161C2×C4×C61C2514yes—
1162C2×C4×C61C2512yes—
1163C2×C4×C61C2514yes—
1164C2×C4×C61C2511yescharacteristic
1165C2×C4×C61C2511yescharacteristic
1166C22⋊D61—24no—
1167C22⋊D61—24no—
1168C22⋊D61—24no—
1169C22⋊D61—28no—
1170C22⋊D61—24no—
1171C22⋊D61—24no—
1172C22⋊D61—28no—
1173C22⋊D61—44no—
1174C22⋊D61—42no—
1175C22⋊D61—42no—
1176C22⋊D61—42no—
1177C22⋊D61—44no—
1178C22⋊D61C2×#4118yes—
1179C2×Dic61—22no—
1180C2×Dic61—22no—
1181C2×Dic61—24no—
1182C2×Dic61—24no—
1183C2×Dic61—22no—
1184C2×Dic61—22no—
1185C2×Dic61—22no—
1186C2×Dic61—42no—
1187C2×Dic61—41no—
1188C2×Dic61—41no—
1189C2×Dic61—41no—
1190C2×Dic61—41no—
1191C2×Dic61—41no—
1192C2×Dic61—41no—
1193C2×Dic61—41no—
1194C2×Dic61—42no—
1195C2×Dic61C2511yescharacteristic
1196C2×Dic61C2511yescharacteristic
1197C2×Dic61C2511yescharacteristic
1198C2×Dic61C2511yescharacteristic
1199C2×Dic61C2511yescharacteristic
1200C2×Dic61C2511yescharacteristic
1201C2×Dic61C2512yes—
1202C2×Dic61C2511yescharacteristic
1203C2×Dic61C2512yes—
1204C2×Dic61C2514yes—
1205C2×Dic61C2512yes—
1206C2×Dic61C2512yes—
1207C2×Dic61C2512yes—
1208C2×Dic61C2511yescharacteristic
1209D244—24no—
1210D244—28no—
1211D244—28no—
1212D244—24no—
1213D244—22no—
1214D244—24no—
1215D244—22no—
1216D244—44no—
1217D244—44no—
1218D244—44no—
1219D244—44no—
1220D244—44no—
1221D244C2×#4114yes—
1222C4×D61—24no—
1223C4×D61—28no—
1224C4×D61—24no—
1225C4×D61—24no—
1226C4×D61—24no—
1227C4×D61—28no—
1228C4×D61—28no—
1229C4×D61—24no—
1230C4×D61—28no—
1231C4×D61—24no—
1232C4×D61—24no—
1233C4×D61—44no—
1234C4×D61—44no—
1235C4×D61—42no—
1236C4×D61—42no—
1237C4×D61—42no—
1238C4×D61—44no—
1239C4×D61—42no—
1240C4×D61—42no—
1241C4×D61—42no—
1242C4×D61—44no—
1243C4×D61—44no—
1244C4×D61—44no—
1245C4×D61—42no—
1246C4×D61C2×#4118yes—
1247Dic122—22no—
1248Dic122—22no—
1249Dic122—24no—
1250Dic122—28no—
1251Dic122—44no—
1252Dic122—42no—
1253Dic122—42no—
1254Dic122C2×#4114yes—
1255#62810—611nomaximal, Sylow
1256C22×C61—21no—
1257C22×C61—21no—
1258C22×C61—21no—
1259C22×C61—21no—
1260C22×C61—21no—
1261C22×C61—22no—
1262C22×C61—21no—
1263C22×C61—22no—
1264C22×C61—21no—
1265C22×C61—22no—
1266C22×C61—44no—
1267C22×C61C22×#4112yes—
1268C22×C61#58512yes—
1269C22×C61C2611yescharacteristic
1270C2×D61—22no—
1271C2×D61—22no—
1272C2×D61—22no—
1273C2×D61—22no—
1274C2×D61—24no—
1275C2×D61—24no—
1276C2×D61—22no—
1277C2×D61—22no—
1278C2×D61—22no—
1279C2×D61—22no—
1280C2×D61—24no—
1281C2×D61—48no—
1282C2×D61—88no—
1283C2×D61—84no—
1284C2×D61C22×#4114yes—
1285C4×C61—21no—
1286C4×C61—24no—
1287C4×C61—21no—
1288C4×C61—22no—
1289C4×C61—22no—
1290C4×C61—22no—
1291C4×C61—22no—
1292C4×C61—22no—
1293C4×C61—24no—
1294C4×C61—22no—
1295C4×C61—22no—
1296C4×C61C22×#4112yes—
1297C4×C61C22×#4112yes—
1298Dic61—22no—
1299Dic61—22no—
1300Dic61—22no—
1301Dic61—21no—
1302Dic61—21no—
1303Dic61—22no—
1304Dic61—24no—
1305Dic61—21no—
1306Dic61—21no—
1307Dic61—21no—
1308Dic61—21no—
1309Dic61—21no—
1310Dic61C22×#4114yes—
1311Dic61#58512yes—
1312#3524—612no—
1313#3521—612no—
1314#3521—614no—
1315#3516—612no—
1316#3513—612no—
1317#3513—614no—
1318#3512—612no—
1319#3512—611no—
1320#3510—612no—
1321#3510—611no—
1322#3504—611no—
1323#3500—611no—
1324#3495—612no—
1325#3495D6111yescharacteristic, complemented
1326#3494—612no—
1327#3494—611no—
1328#3489—611no—
1329#3488—611no—
1330#3482—612no—
1331#3481—612no—
1332#3481—614no—
1333#3480—612no—
1334#3475—614no—
1335#3475—612no—
1336#3461—612no—
1337#3461—611no—
1338#3460—611no—
1339#3460—612no—
1340#3444—612no—
1341#3444—611no—
1342C2×#529—612no—
1343C2×#529—611no—
1344C4×2−1+4—611no—
1345C4×H(5,𝔽2)—611no—
1346C2×C4×#41—611no—
1347C2×C61—22no—
1348C2×C61—22no—
1349C2×C61—42no—
1350C2×C61—41no—
1351C2×C61C23×#4111yescharacteristic
1352C2×C61C2×#58511yescharacteristic
1353C2×C61C2×#58511yescharacteristic
1354D61—24no—
1355D61—42no—
1356D61—42no—
1357D61—44no—
1358C2×2−1+4—611no—
1359C2×H(5,𝔽2)—611no—
1360C22×#41—611no—
1361#559—614no—
1362#559—614no—
1363#559—612no—
1364#559—612no—
1365#557—612no—
1366#557—612no—
1367#556—614no—
1368#556—614no—
1369#556—612no—
1370#556—614no—
1371#556—612no—
1372#556C2×D6112yescomplemented
1373#555—614no—
1374#555—612no—
1375#554—612no—
1376#554—612no—
1377#554—614no—
1378#554—614no—
1379#554—614no—
1380#554C2×D6112yescomplemented
1381#553—614no—
1382#553—614no—
1383#553—614no—
1384#553—614no—
1385#553—614no—
1386#553—614no—
1387#553—614no—
1388#553—614no—
1389#553—614no—
1390#553—614no—
1391#553—612no—
1392#553—612no—
1393#553—612no—
1394#553—612no—
1395#552—614no—
1396#552—614no—
1397#552—614no—
1398#552—614no—
1399#552—614no—
1400#552—612no—
1401#552—614no—
1402#552—612no—
1403#552C2×D6114yescomplemented
1404#552C2×D6112yescomplemented
1405#552C2×D6112yescomplemented
1406#551—614no—
1407#551—614no—
1408#551—614no—
1409#551—614no—
1410#551—614no—
1411#551—614no—
1412#551—614no—
1413#551—614no—
1414#551—614no—
1415#551—614no—
1416#551—614no—
1417#551C2×D6114yescomplemented
1418#550—612no—
1419D4×Q8—612no—
1420#548—612no—
1421#548—612no—
1422#548—612no—
1423#548—612no—
1424#547—614no—
1425#547—612no—
1426#547—614no—
1427#547—612no—
1428#546—614no—
1429#546—614no—
1430#546—614no—
1431#546—614no—
1432#546—612no—
1433#546—612no—
1434#546—612no—
1435#546—612no—
1436#546—614no—
1437#546—614no—
1438#546—614no—
1439D42—614no—
1440D42—612no—
1441#544—612no—
1442#544—612no—
1443#544—611no—
1444#544C2×D6111yescharacteristic, complemented
1445#542—612no—
1446#542—612no—
1447#542—614no—
1448#542—612no—
1449#542—614no—
1450#542—612no—
1451#542—612no—
1452#542—612no—
1453#542—612no—
1454#542C2×D6112yescomplemented
1455#541—612no—
1456#541—614no—
1457#541—612no—
1458#541—612no—
1459#541C2×D6112yescomplemented
1460#540—612no—
1461#540—612no—
1462#540—614no—
1463#540—612no—
1464#540—612no—
1465#539—614no—
1466#539—614no—
1467#539—614no—
1468#538—614no—
1469#538—614no—
1470#538—614no—
1471#537—611no—
1472#537—612no—
1473#537—612no—
1474#537—611no—
1475#536—611no—
1476#536—612no—
1477#536—612no—
1478#536C2×D6111yescharacteristic, complemented
1479#535—612no—
1480#535—612no—
1481#535—611no—
1482#535—611no—
1483#533—612no—
1484#533—612no—
1485#533—614no—
1486#533—611no—
1487#533—611no—
1488#533—612no—
1489#533—611no—
1490#533C2×D6112yescomplemented
1491#532—611no—
1492#532—612no—
1493#532—612no—
1494#532—612no—
1495#532—614no—
1496#532—611no—
1497#532—611no—
1498#532—612no—
1499#529—614no—
1500#529—614no—
1501#529—614no—
1502#529—614no—
1503#529—612no—
1504#529—614no—
1505#529—614no—
1506#529—612no—
1507#529—614no—
1508#529—612no—
1509#529—614no—
1510#529—612no—
1511#529—612no—
1512#529—614no—
1513#529—612no—
1514#529—612no—
1515#529—612no—
1516#529—612no—
1517#529—612no—
1518#529—612no—
1519#529—612no—
1520#529—612no—
1521#529—611no—
1522#529—611no—
1523#529—614no—
1524#529—612no—
1525#529—611no—
1526#529—611no—
1527#529—612no—
1528#529—612no—
1529#529—612no—
1530#529—614no—
1531#529—614no—
1532#529—612no—
1533#529—612no—
1534#529—612no—
1535#529—614no—
1536#529—612no—
1537#529C2×D6112yescomplemented
1538C2×#126—614no—
1539C2×#126—612no—
1540C2×#125—612no—
1541C2×#125—611no—
1542C2×#124—611no—
1543C2×#124—612no—
1544#525—611no—
1545#525—614no—
1546#525—612no—
1547#525—614no—
1548#525—612no—
1549#525—614no—
1550#525—614no—
1551#525—612no—
1552#525—612no—
1553#525—614no—
1554#525C2×D6111yescharacteristic
1555C2×#123—614no—
1556C2×#123—612no—
1557C2×C22⋊Q8—612no—
1558C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1559C2×#121—611no—
1560C2×#121—612no—
1561#520—612no—
1562#520—612no—
1563#520—612no—
1564#520—611no—
1565#520—611no—
1566#520—614no—
1567#520—611no—
1568#520—612no—
1569#520C2×D6111yescharacteristic, complemented
1570#519—612no—
1571#519—612no—
1572#519C2×D6111yescharacteristic, complemented
1573#518—612no—
1574#518—614no—
1575#518—611no—
1576#518—612no—
1577C4×#41—611no—
1578C4×#41—612no—
1579C4×#41—612no—
1580C4×#41—612no—
1581C4×#41—614no—
1582C4×#41—612no—
1583C4×#41—612no—
1584C4×#41—611no—
1585C4×#41—611no—
1586C4×#41—611no—
1587C4×#41—612no—
1588C4×#41—612no—
1589C4×#41—611no—
1590C4×#41—611no—
1591C4×#41—611no—
1592C4×#41—612no—
1593C4×#41—612no—
1594C4×#41—611no—
1595C4×#41—611no—
1596C4×#41—612no—
1597C4×#41—611no—
1598C4×#41—614no—
1599C4×#41—614no—
1600C2×C4×Q8—611no—
1601C2×C4×Q8—612no—
1602C2×C4×Q8—612no—
1603C2×C4×Q8—611no—
1604C2×C4×Q8—611no—
1605C2×C4×D4—612no—
1606C2×C4×D4—614no—
1607C2×C4×D4—614no—
1608C2×C4×D4—611no—
1609C2×C4×D4—611no—
1610C2×C4×D4—611no—
1611C2×C4×D4—612no—
1612C2×C4×D4—612no—
1613C2×C4×D4—612no—
1614C2×C4×D4—612no—
1615C2×#117—614no—
1616C2×#117—612no—
1617C2×#117—612no—
1618C2×#117C2×D6111yescharacteristic, complemented
1619C22×C42—611no—
1620C22×C42—612no—
1621C61#6281011yescharacteristic, complemented, Sylow
16222−1+4—1228no—
1623H(5,𝔽2)—1228no—
1624C2×#41—612no—
1625C2×#41—612no—
1626C2×#41—612no—
1627C2×#41—614no—
1628C2×#41—612no—
1629C2×#41—612no—
1630C2×#41—611no—
1631C2×#41—612no—
1632C2×#41—611no—
1633C2×#41—611no—
1634C2×#41—612no—
1635C2×#41—611no—
1636C2×#41—611no—
1637C2×#41—614no—
1638C2×#41—612no—
1639C2×#41—614no—
1640C2×#41—1228no—
1641C2×#41C22×D6111yescharacteristic
1642C22×Q8—612no—
1643C22×Q8—612no—
1644C22×Q8—611no—
1645C22×Q8C22×D6111yescharacteristic
1646C22×D4—612no—
1647C22×D4—612no—
1648C22×D4—612no—
1649C22×D4—614no—
1650C22×D4—614no—
1651C22×D4—611no—
1652C22×D4—611no—
1653C22×D4—612no—
1654C23×C4—611no—
1655C23×C4—611no—
1656C23×C4—612no—
1657C23×C4—612no—
1658C23×C4—614no—
1659C23×C4—612no—
1660C23×C4—612no—
1661C23×C4C22×D6111yescharacteristic
1662C4⋊Q8—611no—
1663C4⋊Q8—614no—
1664C4⋊Q8—612no—
1665C4⋊Q8—611no—
1666C4⋊Q8—611no—
1667C4⋊Q8—614no—
1668C4⋊Q8—614no—
1669C4⋊Q8—612no—
1670C4⋊Q8—612no—
1671C4⋊Q8C22×D6112yes—
1672C4⋊Q8C22×D6112yes—
1673C4⋊Q8C22×D6112yes—
1674#127—611no—
1675#127—614no—
1676#127—612no—
1677#127—612no—
1678#126—614no—
1679#126—614no—
1680#126—614no—
1681#126—614no—
1682#126—614no—
1683#126—614no—
1684#126—612no—
1685#126—614no—
1686#126—612no—
1687#126—614no—
1688#126—614no—
1689#126—614no—
1690#126—614no—
1691#126—614no—
1692#126—614no—
1693#126—612no—
1694#126—614no—
1695#126—614no—
1696#126—612no—
1697#126—614no—
1698#126—614no—
1699#126—614no—
1700#126—614no—
1701#126—614no—
1702#126C22×D6114yes—
1703#126C22×D6114yes—
1704#126C22×D6114yes—
1705#126C22×D6114yes—
1706#125—611no—
1707#125—612no—
1708#125—612no—
1709#125—614no—
1710#125—614no—
1711#125—612no—
1712#125—612no—
1713#125—611no—
1714#125—612no—
1715#125—614no—
1716#125—612no—
1717#125—614no—
1718#125—614no—
1719#125—614no—
1720#125—614no—
1721#125—612no—
1722#125—614no—
1723#125—612no—
1724#125—614no—
1725#125C22×D6112yes—
1726#125C22×D6114yes—
1727#125C22×D6112yes—
1728#125C22×D6114yes—
1729#125C22×D6114yes—
1730#124—612no—
1731#124—612no—
1732#124—612no—
1733#124—612no—
1734#124—611no—
1735#124—614no—
1736#124—612no—
1737#124—614no—
1738#124—611no—
1739#124—614no—
1740#124—614no—
1741#124—612no—
1742#124—612no—
1743#124—614no—
1744#124—614no—
1745#124—614no—
1746#124—614no—
1747#124—612no—
1748#124—614no—
1749#124—612no—
1750#124—614no—
1751#124—614no—
1752#124C22×D6112yes—
1753#124C22×D6114yes—
1754#123—612no—
1755#123—612no—
1756#123—614no—
1757#123—612no—
1758#123—614no—
1759#123—614no—
1760#123—614no—
1761#123—614no—
1762#123—614no—
1763#123—614no—
1764#123—614no—
1765#123—614no—
1766#123—614no—
1767#123—614no—
1768#123—614no—
1769#123—614no—
1770#123—614no—
1771#123—614no—
1772#123—614no—
1773#123—614no—
1774#123—614no—
1775#123—614no—
1776#123—614no—
1777#123—614no—
1778#123—614no—
1779#123—614no—
1780#123—614no—
1781#123—614no—
1782#123—612no—
1783#123—612no—
1784#123—614no—
1785#123—614no—
1786#123—614no—
1787#123—614no—
1788#123C22×D6114yes—
1789#123C22×D6114yes—
1790#123C22×D6112yes—
1791#123C22×D6114yes—
1792C22⋊Q8—612no—
1793C22⋊Q8—612no—
1794C22⋊Q8—612no—
1795C22⋊Q8—614no—
1796C22⋊Q8—614no—
1797C22⋊Q8—614no—
1798C22⋊Q8—611no—
1799C22⋊Q8—611no—
1800C22⋊Q8—612no—
1801C22⋊Q8—612no—
1802C22⋊Q8—614no—
1803C22⋊Q8—614no—
1804C22⋊Q8—614no—
1805C22⋊Q8—614no—
1806C22⋊Q8—614no—
1807C22⋊Q8—614no—
1808C22⋊Q8—614no—
1809C22⋊Q8—612no—
1810C22⋊Q8—614no—
1811C22⋊Q8—614no—
1812C22⋊Q8—614no—
1813C22⋊Q8—614no—
1814C22⋊Q8—614no—
1815C22⋊Q8—614no—
1816C22⋊Q8—614no—
1817C22⋊Q8—612no—
1818C22⋊Q8—612no—
1819C22⋊Q8—612no—
1820C22⋊Q8—612no—
1821C22⋊Q8—614no—
1822C22⋊Q8—614no—
1823C22⋊Q8C22×D6112yes—
1824C22⋊Q8C22×D6112yes—
1825C22⋊Q8C22×D6112yes—
1826C22⋊Q8C22×D6112yes—
1827C22⋊Q8C22×D6111yescharacteristic
1828C22⋊Q8C22×D6114yes—
1829C22⋊Q8C22×D6114yes—
1830C22⋊Q8C22×D6114yes—
1831C22⋊Q8C22×D6111yescharacteristic
1832C22⋊Q8C22×D6112yes—
1833C22⋊Q8C22×D6112yes—
1834#121—612no—
1835#121—614no—
1836#121—612no—
1837#121—612no—
1838#121—612no—
1839#121—612no—
1840#121—614no—
1841#121—612no—
1842#121—612no—
1843#121—612no—
1844#121—612no—
1845#121—611no—
1846#121—611no—
1847#121—614no—
1848#121—614no—
1849#121—614no—
1850#121—612no—
1851#121—612no—
1852#121—612no—
1853#121—612no—
1854#121—614no—
1855#121—614no—
1856#121—614no—
1857#121—614no—
1858#121—614no—
1859#121—612no—
1860#121—614no—
1861#121—612no—
1862#121—612no—
1863#121—614no—
1864#121—614no—
1865#121—614no—
1866#121—614no—
1867#121—614no—
1868#121—614no—
1869#121—614no—
1870#121—614no—
1871#121—614no—
1872#121—614no—
1873#121—614no—
1874#121C22×D6111yescharacteristic
1875#121C22×D6111yescharacteristic
1876#120—612no—
1877#120—614no—
1878#120—614no—
1879#120—614no—
1880#120—614no—
1881#120—614no—
1882#120—614no—
1883#120—614no—
1884#120—614no—
1885#120C22×D6112yes—
1886C4×Q8—612no—
1887C4×Q8—612no—
1888C4×Q8—612no—
1889C4×Q8—612no—
1890C4×Q8—611no—
1891C4×Q8—611no—
1892C4×Q8—614no—
1893C4×Q8—611no—
1894C4×Q8—614no—
1895C4×Q8—611no—
1896C4×Q8—611no—
1897C4×Q8—612no—
1898C4×Q8—611no—
1899C4×Q8—612no—
1900C4×Q8—611no—
1901C4×Q8—611no—
1902C4×Q8—611no—
1903C4×Q8—612no—
1904C4×Q8—612no—
1905C4×Q8—611no—
1906C4×Q8—611no—
1907C4×Q8—611no—
1908C4×Q8—614no—
1909C4×Q8—612no—
1910C4×Q8—614no—
1911C4×Q8—612no—
1912C4×Q8—612no—
1913C4×Q8—614no—
1914C4×Q8—614no—
1915C4×Q8—612no—
1916C4×Q8—612no—
1917C4×Q8—614no—
1918C4×Q8—612no—
1919C4×Q8—612no—
1920C4×Q8C22×D6112yes—
1921C4×Q8C22×D6112yes—
1922C4×Q8C22×D6112yes—
1923C4×Q8C22×D6112yes—
1924C4×Q8C22×D6112yes—
1925C4×Q8C22×D6114yes—
1926C4×D4—612no—
1927C4×D4—612no—
1928C4×D4—611no—
1929C4×D4—612no—
1930C4×D4—611no—
1931C4×D4—612no—
1932C4×D4—614no—
1933C4×D4—614no—
1934C4×D4—614no—
1935C4×D4—614no—
1936C4×D4—614no—
1937C4×D4—612no—
1938C4×D4—612no—
1939C4×D4—612no—
1940C4×D4—612no—
1941C4×D4—611no—
1942C4×D4—614no—
1943C4×D4—612no—
1944C4×D4—612no—
1945C4×D4—611no—
1946C4×D4—612no—
1947C4×D4—611no—
1948C4×D4—612no—
1949C4×D4—611no—
1950C4×D4—611no—
1951C4×D4—611no—
1952C4×D4—612no—
1953C4×D4—612no—
1954C4×D4—611no—
1955C4×D4—611no—
1956C4×D4—612no—
1957C4×D4—612no—
1958C4×D4—612no—
1959C4×D4—614no—
1960C4×D4—612no—
1961C4×D4—614no—
1962C4×D4—614no—
1963C4×D4—611no—
1964C4×D4—612no—
1965C4×D4—611no—
1966C4×D4—614no—
1967C4×D4—614no—
1968C4×D4—614no—
1969C4×D4—614no—
1970C4×D4—614no—
1971C4×D4—614no—
1972C4×D4—612no—
1973C4×D4—614no—
1974C4×D4—614no—
1975C4×D4—612no—
1976C4×D4—612no—
1977C4×D4—612no—
1978C4×D4—612no—
1979C4×D4—612no—
1980C4×D4—612no—
1981C4×D4—612no—
1982C4×D4—612no—
1983C4×D4—612no—
1984C4×D4—612no—
1985C4×D4—612no—
1986C4×D4—612no—
1987C4×D4—612no—
1988C4×D4—612no—
1989C4×D4—612no—
1990C4×D4—614no—
1991C4×D4—614no—
1992C4×D4—614no—
1993C4×D4—614no—
1994C4×D4—612no—
1995C4×D4—612no—
1996C4×D4—614no—
1997C4×D4—612no—
1998C4×D4—614no—
1999C4×D4—614no—
2000C4×D4—612no—
2001C4×D4—614no—
2002C4×D4—614no—
2003C4×D4—612no—
2004C4×D4—612no—
2005C4×D4—612no—
2006C4×D4—614no—
2007C4×D4—614no—
2008C4×D4—614no—
2009C4×D4—612no—
2010C4×D4—614no—
2011C4×D4—612no—
2012C4×D4—612no—
2013C4×D4—614no—
2014C4×D4—614no—
2015C4×D4—614no—
2016C4×D4—614no—
2017C4×D4C22×D6112yes—
2018C4×D4C22×D6114yes—
2019C4×D4C22×D6114yes—
2020C4×D4C22×D6112yes—
2021C4×D4C22×D6112yes—
2022#117—614no—
2023#117—611no—
2024#117—612no—
2025#117—614no—
2026#117—614no—
2027#117—614no—
2028#117—614no—
2029#117—614no—
2030#117—612no—
2031#117—612no—
2032#117—614no—
2033#117—612no—
2034#117—614no—
2035#117—614no—
2036#117—612no—
2037#117—614no—
2038#117—612no—
2039#117—612no—
2040#117—614no—
2041#117—612no—
2042#117—612no—
2043#117—612no—
2044#117—612no—
2045#117—612no—
2046#117—612no—
2047#117—612no—
2048#117—612no—
2049#117—612no—
2050#117—612no—
2051#117—612no—
2052#117—614no—
2053#117—614no—
2054#117—614no—
2055#117—612no—
2056#117—614no—
2057#117—614no—
2058#117—614no—
2059#117—614no—
2060#117C22×D6114yes—
2061#117C22×D6111yescharacteristic
2062#117C22×D6111yescharacteristic
2063#117C22×D6112yes—
2064#117C22×D6112yes—
2065#117C22×D6111yescharacteristic
2066#117C22×D6111yescharacteristic
2067#117C22×D6112yes—
2068#117C22×D6111yescharacteristic
2069#117C22×D6114yes—
2070#117C22×D6114yes—
2071C2×C4⋊C4—612no—
2072C2×C4⋊C4—612no—
2073C2×C4⋊C4—612no—
2074C2×C4⋊C4—612no—
2075C2×C4⋊C4—611no—
2076C2×C4⋊C4—612no—
2077C2×C4⋊C4—614no—
2078C2×C4⋊C4—614no—
2079C2×C4⋊C4—612no—
2080C2×C4⋊C4—614no—
2081C2×C4⋊C4—614no—
2082C2×C4⋊C4—612no—
2083C2×C4⋊C4—614no—
2084C2×C4⋊C4—614no—
2085C2×C4⋊C4—612no—
2086C2×C4⋊C4C22×D6112yes—
2087C2×C4⋊C4C22×D6111yescharacteristic
2088C2×C4⋊C4C22×D6111yescharacteristic
2089C2×C4⋊C4C22×D6111yescharacteristic
2090C2×C4⋊C4C22×D6112yes—
2091C2×C22⋊C4—612no—
2092C2×C22⋊C4—612no—
2093C2×C22⋊C4—612no—
2094C2×C22⋊C4—612no—
2095C2×C22⋊C4—612no—
2096C2×C22⋊C4—614no—
2097C2×C22⋊C4—612no—
2098C2×C22⋊C4—614no—
2099C2×C22⋊C4—614no—
2100C2×C22⋊C4—614no—
2101C2×C22⋊C4—614no—
2102C2×C22⋊C4—614no—
2103C2×C22⋊C4—614no—
2104C2×C22⋊C4—614no—
2105C2×C22⋊C4C22×D6112yes—
2106C2×C22⋊C4C22×D6112yes—
2107C2×C42—611no—
2108C2×C42—611no—
2109C2×C42—612no—
2110C2×C42—611no—
2111C2×C42—611no—
2112C2×C42—612no—
2113C2×C42—612no—
2114C2×C42—611no—
2115C2×C42—612no—
2116C2×C42—611no—
2117C2×C42—611no—
2118C2×C42—611no—
2119C2×C42—611no—
2120C2×C42—611no—
2121C2×C42—611no—
2122C2×C42—611no—
2123C2×C42—612no—
2124C2×C42—614no—
2125C2×C42—612no—
2126C2×C42—614no—
2127C2×C42—612no—
2128C2×C42—614no—
2129C2×C42—612no—
2130C2×C42—612no—
2131C2×C42—612no—
2132C2×C42—612no—
2133C2×C42—612no—
2134C2×C42—612no—
2135C2×C42C22×D6112yes—
2136C24—612no—
2137C24—614no—
2138C24—612no—
2139C24C23×D6111yescharacteristic
2140#41—24no—
2141#41—618no—
2142#41—1228no—
2143#41—1228no—
2144#41—1224no—
2145#41—12216no—
2146#41—1224no—
2147#41—1228no—
2148#41—1228no—
2149#41—1228no—
2150#41—1228no—
2151#41—1224no—
2152#41—1224no—
2153#41—2448no—
2154#41—2444no—
2155#41—2448no—
2156#41—2444no—
2157C2×Q8—24no—
2158C2×Q8—611no—
2159C2×Q8—614no—
2160C2×Q8—611no—
2161C2×Q8—612no—
2162C2×Q8—611no—
2163C2×Q8—612no—
2164C2×Q8—614no—
2165C2×Q8—612no—
2166C2×Q8—1224no—
2167C2×Q8—1228no—
2168C2×Q8—1228no—
2169C2×Q8C23×D6112yes—
2170C2×Q8C23×D6111yescharacteristic
2171C2×Q8C23×D6112yes—
2172C2×Q8C23×D6114yes—
2173C2×D4—612no—
2174C2×D4—612no—
2175C2×D4—612no—
2176C2×D4—612no—
2177C2×D4—612no—
2178C2×D4—614no—
2179C2×D4—614no—
2180C2×D4—612no—
2181C2×D4—612no—
2182C2×D4—612no—
2183C2×D4—612no—
2184C2×D4—614no—
2185C2×D4—614no—
2186C2×D4—611no—
2187C2×D4—614no—
2188C2×D4—612no—
2189C2×D4—614no—
2190C2×D4—612no—
2191C2×D4—612no—
2192C2×D4—611no—
2193C2×D4—611no—
2194C2×D4—614no—
2195C2×D4—614no—
2196C2×D4—614no—
2197C2×D4—614no—
2198C2×D4—614no—
2199C2×D4—1224no—
2200C2×D4—1228no—
2201C2×D4—1228no—
2202C2×D4—12216no—
2203C2×D4—1228no—
2204C2×D4—1224no—
2205C2×D4—2448no—
2206C2×D4—2444no—
2207C2×D4C23×D6112yes—
2208C2×D4C23×D6111yescharacteristic
2209C2×D4C23×D6112yes—
2210C2×D4C23×D6112yes—
2211C22×C4—24no—
2212C22×C4—612no—
2213C22×C4—611no—
2214C22×C4—611no—
2215C22×C4—611no—
2216C22×C4—611no—
2217C22×C4—612no—
2218C22×C4—611no—
2219C22×C4—612no—
2220C22×C4—611no—
2221C22×C4—611no—
2222C22×C4—611no—
2223C22×C4—611no—
2224C22×C4—611no—
2225C22×C4—611no—
2226C22×C4—611no—
2227C22×C4—612no—
2228C22×C4—612no—
2229C22×C4—612no—
2230C22×C4—612no—
2231C22×C4—612no—
2232C22×C4—612no—
2233C22×C4—612no—
2234C22×C4—612no—
2235C22×C4—614no—
2236C22×C4—614no—
2237C22×C4—612no—
2238C22×C4—614no—
2239C22×C4—614no—
2240C22×C4—612no—
2241C22×C4—612no—
2242C22×C4—612no—
2243C22×C4—612no—
2244C22×C4—612no—
2245C22×C4—612no—
2246C22×C4—614no—
2247C22×C4—614no—
2248C22×C4—612no—
2249C22×C4—614no—
2250C22×C4—614no—
2251C22×C4—614no—
2252C22×C4—614no—
2253C22×C4—1228no—
2254C22×C4—2444no—
2255C22×C4—2448no—
2256C22×C4—2444no—
2257C22×C4—2444no—
2258C22×C4—2442no—
2259C22×C4—2442no—
2260C22×C4C23×D6111yescharacteristic
2261C22×C4C23×D6111yescharacteristic
2262C22×C4C23×D6111yescharacteristic
2263C22×C4C23×D6111yescharacteristic
2264C22×C4C23×D6111yescharacteristic
2265C22×C4C23×D6112yes—
2266C22×C4C23×D6112yes—
2267C22×C4C23×D6112yes—
2268C22×C4C23×D6112yes—
2269C22×C4C23×D6112yes—
2270C22×C4C23×D6114yes—
2271C22×C4C23×D6111yescharacteristic
2272C4⋊C4—612no—
2273C4⋊C4—612no—
2274C4⋊C4—612no—
2275C4⋊C4—612no—
2276C4⋊C4—614no—
2277C4⋊C4—614no—
2278C4⋊C4—614no—
2279C4⋊C4—612no—
2280C4⋊C4—614no—
2281C4⋊C4—614no—
2282C4⋊C4—611no—
2283C4⋊C4—612no—
2284C4⋊C4—612no—
2285C4⋊C4—612no—
2286C4⋊C4—612no—
2287C4⋊C4—614no—
2288C4⋊C4—614no—
2289C4⋊C4—612no—
2290C4⋊C4—612no—
2291C4⋊C4—612no—
2292C4⋊C4—612no—
2293C4⋊C4—612no—
2294C4⋊C4—612no—
2295C4⋊C4—614no—
2296C4⋊C4—614no—
2297C4⋊C4—614no—
2298C4⋊C4—614no—
2299C4⋊C4—614no—
2300C4⋊C4—614no—
2301C4⋊C4—612no—
2302C4⋊C4—612no—
2303C4⋊C4—614no—
2304C4⋊C4—612no—
2305C4⋊C4—612no—
2306C4⋊C4—612no—
2307C4⋊C4—612no—
2308C4⋊C4—612no—
2309C4⋊C4—614no—
2310C4⋊C4—611no—
2311C4⋊C4—612no—
2312C4⋊C4—612no—
2313C4⋊C4—614no—
2314C4⋊C4C23×D6111yescharacteristic
2315C4⋊C4C23×D6111yescharacteristic
2316C4⋊C4C23×D6114yes—
2317C4⋊C4C23×D6114yes—
2318C4⋊C4C23×D6112yes—
2319C4⋊C4C23×D6114yes—
2320C4⋊C4C23×D6114yes—
2321C4⋊C4C23×D6114yes—
2322C4⋊C4C23×D6111yescharacteristic
2323C4⋊C4C23×D6112yes—
2324C4⋊C4C23×D6114yes—
2325C4⋊C4C23×D6111yescharacteristic
2326C4⋊C4C23×D6111yescharacteristic
2327C4⋊C4C23×D6112yes—
2328C4⋊C4C23×D6112yes—
2329C4⋊C4C23×D6111yescharacteristic
2330C4⋊C4C23×D6114yes—
2331C4⋊C4C23×D6112yes—
2332C4⋊C4C23×D6114yes—
2333C4⋊C4C23×D6112yes—
2334C4⋊C4C23×D6114yes—
2335C4⋊C4C23×D6114yes—
2336C22⋊C4—612no—
2337C22⋊C4—612no—
2338C22⋊C4—612no—
2339C22⋊C4—612no—
2340C22⋊C4—612no—
2341C22⋊C4—612no—
2342C22⋊C4—614no—
2343C22⋊C4—612no—
2344C22⋊C4—612no—
2345C22⋊C4—612no—
2346C22⋊C4—614no—
2347C22⋊C4—614no—
2348C22⋊C4—614no—
2349C22⋊C4—614no—
2350C22⋊C4—614no—
2351C22⋊C4—614no—
2352C22⋊C4—614no—
2353C22⋊C4—614no—
2354C22⋊C4—612no—
2355C22⋊C4—612no—
2356C22⋊C4—612no—
2357C22⋊C4—612no—
2358C22⋊C4—612no—
2359C22⋊C4—612no—
2360C22⋊C4—614no—
2361C22⋊C4—614no—
2362C22⋊C4—614no—
2363C22⋊C4—614no—
2364C22⋊C4—614no—
2365C22⋊C4—614no—
2366C22⋊C4—614no—
2367C22⋊C4—614no—
2368C22⋊C4—614no—
2369C22⋊C4—612no—
2370C22⋊C4—612no—
2371C22⋊C4—614no—
2372C22⋊C4—612no—
2373C22⋊C4—612no—
2374C22⋊C4—612no—
2375C22⋊C4—614no—
2376C22⋊C4—614no—
2377C22⋊C4—614no—
2378C22⋊C4—614no—
2379C22⋊C4—612no—
2380C22⋊C4C23×D6112yes—
2381C22⋊C4C23×D6112yes—
2382C22⋊C4C23×D6114yes—
2383C22⋊C4C23×D6114yes—
2384C22⋊C4C23×D6114yes—
2385C22⋊C4C23×D6114yes—
2386C22⋊C4C23×D6112yes—
2387C22⋊C4C23×D6112yes—
2388C22⋊C4C23×D6112yes—
2389C22⋊C4C23×D6114yes—
2390C22⋊C4C23×D6112yes—
2391C22⋊C4C23×D6112yes—
2392C22⋊C4C23×D6112yes—
2393C22⋊C4C23×D6112yes—
2394C42—611no—
2395C42—612no—
2396C42—611no—
2397C42—611no—
2398C42—611no—
2399C42—611no—
2400C42—611no—
2401C42—612no—
2402C42—612no—
2403C42—611no—
2404C42—612no—
2405C42—614no—
2406C42—612no—
2407C42—611no—
2408C42—611no—
2409C42—611no—
2410C42—611no—
2411C42—611no—
2412C42—612no—
2413C42—612no—
2414C42—611no—
2415C42—612no—
2416C42—612no—
2417C42—611no—
2418C42—611no—
2419C42—611no—
2420C42—612no—
2421C42—612no—
2422C42—614no—
2423C42—614no—
2424C42—612no—
2425C42—614no—
2426C42—612no—
2427C42—614no—
2428C42C23×D6112yes—
2429C42C23×D6112yes—
2430C42C23×D6112yes—
2431C42C23×D6112yes—
2432C42C23×D6114yes—
2433C42C23×D6114yes—
2434C42C23×D6114yes—
2435C42C23×D6112yes—
2436C23—22no—
2437C23—22no—
2438C23—41no—
2439C23—612no—
2440C23—614no—
2441C23—612no—
2442C23—612no—
2443C23—1228no—
2444C23—1224no—
2445C23—1224no—
2446C23—1224no—
2447C23—2442no—
2448C23—2444no—
2449C23—2442no—
2450C23—2444no—
2451C23—2442no—
2452C23C24×D6112yes—
2453C23C24×D6111yescharacteristic
2454C23C24×D6111yescharacteristic
2455C23C24×D6111yescharacteristic
2456Q8—24no—
2457Q8—24no—
2458Q8—22no—
2459Q8—44no—
2460Q8—614no—
2461Q8—1228no—
2462Q8—1224no—
2463Q8—1222no—
2464Q8—1222no—
2465Q8—2442no—
2466Q8—2444no—
2467Q8—2442no—
2468D4—24no—
2469D4—24no—
2470D4—22no—
2471D4—42no—
2472D4—618no—
2473D4—614no—
2474D4—1228no—
2475D4—1224no—
2476D4—1228no—
2477D4—1228no—
2478D4—1224no—
2479D4—1224no—
2480D4—1224no—
2481D4—1224no—
2482D4—1228no—
2483D4—1224no—
2484D4—1224no—
2485D4—1224no—
2486D4—1222no—
2487D4—1222no—
2488D4—2444no—
2489D4—2444no—
2490D4—2444no—
2491D4—2444no—
2492D4—2444no—
2493D4—2444no—
2494D4—2444no—
2495D4—2442no—
2496D4—2442no—
2497D4—2442no—
2498C2×C4—22no—
2499C2×C4—24no—
2500C2×C4—24no—
2501C2×C4—22no—
2502C2×C4—22no—
2503C2×C4—22no—
2504C2×C4—22no—
2505C2×C4—24no—
2506C2×C4—44no—
2507C2×C4—42no—
2508C2×C4—42no—
2509C2×C4—611no—
2510C2×C4—612no—
2511C2×C4—618no—
2512C2×C4—611no—
2513C2×C4—611no—
2514C2×C4—611no—
2515C2×C4—611no—
2516C2×C4—611no—
2517C2×C4—612no—
2518C2×C4—612no—
2519C2×C4—612no—
2520C2×C4—611no—
2521C2×C4—611no—
2522C2×C4—614no—
2523C2×C4—612no—
2524C2×C4—1224no—
2525C2×C4—1224no—
2526C2×C4—1228no—
2527C2×C4—1224no—
2528C2×C4—1228no—
2529C2×C4—1228no—
2530C2×C4—1224no—
2531C2×C4—1224no—
2532C2×C4—1228no—
2533C2×C4—1224no—
2534C2×C4—1222no—
2535C2×C4—1222no—
2536C2×C4—1224no—
2537C2×C4—1222no—
2538C2×C4—1222no—
2539C2×C4—1222no—
2540C2×C4—1224no—
2541C2×C4—1224no—
2542C2×C4—2442no—
2543C2×C4—2444no—
2544C2×C4—2444no—
2545C2×C4—2444no—
2546C2×C4—2442no—
2547C2×C4—2442no—
2548C2×C4—2442no—
2549C2×C4—2442no—
2550C2×C4—2442no—
2551C2×C4—2444no—
2552C2×C4—2444no—
2553C2×C4—2444no—
2554C2×C4—2442no—
2555C2×C4—2441no—
2556C2×C4—2441no—
2557C2×C4—2441no—
2558C2×C4—2441no—
2559C2×C4—2441no—
2560C2×C4—2441no—
2561C2×C4—2441no—
2562C2×C4—2442no—
2563C2×C4—2442no—
2564C2×C4#41×D6114yes—
2565C2×C4C24×D6111yescharacteristic
2566C2×C4C24×D6112yes—
2567C2×C4C24×D6111yescharacteristic
2568C2×C4C24×D6112yes—
2569C2×C4C24×D6112yes—
2570C2×C4C24×D6114yes—
2571C2×C4C24×D6112yes—
2572C2×C4C24×D6112yes—
2573C2×C4C24×D6112yes—
2574C2×C4C24×D6112yes—
2575C2×C4C24×D6114yes—
2576C2×C4C24×D6111yescharacteristic
2577C2×C4C24×D6111yescharacteristic
2578C22—21no—
2579C22—21no—
2580C22—21no—
2581C22—21no—
2582C22—21no—
2583C22—22no—
2584C22—22no—
2585C22—21no—
2586C22—21no—
2587C22—22no—
2588C22—44no—
2589C22—614no—
2590C22—1222no—
2591C22—1222no—
2592C22—1222no—
2593C22—1222no—
2594C22—1224no—
2595C22—1224no—
2596C22—1222no—
2597C22—1222no—
2598C22—1222no—
2599C22—1222no—
2600C22—1224no—
2601C22—4884no—
2602C22—4888no—
2603C22—2448no—
2604C22C2×#41×D6112yes—
2605C22#1684059912yes—
2606C22C25×D6111yescharacteristic
2607C4—21no—
2608C4—21no—
2609C4—22no—
2610C4—24no—
2611C4—22no—
2612C4—24no—
2613C4—22no—
2614C4—22no—
2615C4—22no—
2616C4—22no—
2617C4—22no—
2618C4—614no—
2619C4—612no—
2620C4—1222no—
2621C4—1222no—
2622C4—1221no—
2623C4—1221no—
2624C4—1222no—
2625C4—1221no—
2626C4—1221no—
2627C4—1221no—
2628C4—1221no—
2629C4—1221no—
2630C4—1224no—
2631C4—1222no—
2632C4C2×#41×D6112yes—
2633C4C2×#41×D6112yes—
2634C2—22no—
2635C2—22no—
2636C2—41no—
2637C2—42no—
2638C2—1224no—
2639C2—2444no—
2640C2—2442no—
2641C2—2442no—
2642C2C22×#41×D6111yescharacteristic
2643C2#585×D6111yescharacteristic
2644C2C2×#1684059911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D61
commutator, socle, cosocleC22×C61C26
FittingC61×#3495C2
hypercenter#3495D61
hypocenterC61#62810
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ #3495

Complements

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

NH ≅ G/Ntype
1. #21459925C2semidirect
2. #21459892C2semidirect
3. #21459874C2semidirect
4. #21459809C2semidirect
5. #21459764C2semidirect
6. #21459746C2semidirect
7. #21459742C2semidirect
8. #21459736C2semidirect
9. #21459716C2semidirect
10. #21459711C2semidirect
11. #21459642C2semidirect
12. #21459608C2semidirect
13. #21459566C2semidirect
14. #21459554C2semidirect
15. #21459542C2semidirect
16. #21459495C2semidirect
17. #21459480C2semidirect
18. #21459433C2semidirect
19. #21459430C2semidirect
20. #21459422C2semidirect
21. #21459411C2semidirect
22. #21459384C2semidirect
23. #21459372C2semidirect
24. #21459251C2semidirect
25. #21459243C2semidirect
26. #21459242C2semidirect
27. #21459239C2semidirect
28. #21459116C2semidirect
29. #21459111C2semidirect
30. C2×#16840298C2semidirect
31. #529×D61C2semidirect
32. #21459028C2semidirect
33. #21459025C2semidirect
34. C2×#16840230C2semidirect
35. C61×#3495C2semidirect
39. #16840497C22semidirect
40. #16840497C22semidirect
41. #16840496C22semidirect
42. #16840494C22semidirect
43. #16840489C22semidirect
44. #16840487C22semidirect
45. #16840484C22semidirect
46. #16840484C22semidirect
47. #16840484C22semidirect
48. #16840483C22semidirect
49. #16840479C22semidirect
50. #16840475C22semidirect
51. #16840475C22semidirect
52. #16840473C22semidirect
53. #16840470C22semidirect
54. #16840468C22semidirect
55. #16840466C22semidirect
56. #16840466C22semidirect
57. #16840465C22semidirect
58. #16840465C22semidirect
59. #16840463C22semidirect
60. #16840463C22semidirect
61. #16840463C22semidirect
62. #16840463C22semidirect
63. #16840463C22semidirect
64. #16840461C22semidirect
65. #16840461C22semidirect
66. #16840460C22semidirect
67. #16840460C22semidirect
68. #16840458C22semidirect
69. #16840456C22semidirect
70. #16840456C22semidirect
71. #16840453C22semidirect
72. #16840451C22semidirect
73. #16840447C22semidirect
74. #16840445C22semidirect
75. #16840444C22semidirect
76. #16840444C22semidirect
77. #16840444C22semidirect
78. #16840444C22semidirect
79. #16840442C22semidirect
80. #16840439C22semidirect
81. #16840439C22semidirect
82. #16840437C22semidirect
83. #16840437C22semidirect
84. #16840436C22semidirect
85. #16840436C22semidirect
86. #16840436C22semidirect
87. #16840436C22semidirect
88. #16840436C22semidirect
89. #16840435C22semidirect
91. #16840425C22semidirect
92. #16840422C22semidirect
93. #16840422C22semidirect
94. #16840422C22semidirect
96. #16840414C22semidirect
97. #16840413C22semidirect
98. #16840413C22semidirect
99. #16840410C22semidirect
101. #16840407C22semidirect
103. #16840404C22semidirect
104. #16840404C22semidirect
105. #16840404C22semidirect
106. #16840403C22semidirect
107. #16840403C22semidirect
108. #16840403C22semidirect
109. #16840402C22semidirect
110. #16840402C22semidirect
113. #16840392C22semidirect
114. #16840390C22semidirect
115. #16840389C22semidirect
116. #16840386C22semidirect
117. #16840386C22semidirect
118. #16840385C22semidirect
119. #16840384C22semidirect
120. #16840384C22semidirect
121. #16840383C22semidirect
122. #16840382C22semidirect
123. #16840381C22semidirect
124. #16840378C22semidirect
125. #16840373C22semidirect
126. #16840372C22semidirect
127. #16840371C22semidirect
128. #16840370C22semidirect
129. #16840368C22semidirect
130. #16840368C22semidirect
131. #16840367C22semidirect
132. #16840364C22semidirect
133. #16840363C22semidirect
134. #16840360C22semidirect
135. #16840356C22semidirect
136. #16840353C22semidirect
137. #16840352C22semidirect
138. #16840351C22semidirect
139. #16840346C22semidirect
140. #16840343C22semidirect
142. #16840342C22semidirect
144. #16840337C22semidirect
145. #16840336C22semidirect
146. #16840335C22semidirect
148. #16840331C22semidirect
149. #16840330C22semidirect
151. #16840318C22semidirect
152. #16840317C22semidirect
153. #16840317C22semidirect
154. #16840315C22semidirect
155. #16840314C22semidirect
156. #16840314C22semidirect
157. #16840314C22semidirect
158. #16840313C22semidirect
159. #16840313C22semidirect
160. #16840313C22semidirect
161. #16840312C22semidirect
162. #16840311C22semidirect
163. #16840308C22semidirect
164. #16840307C22semidirect
165. #16840307C22semidirect
166. #16840299C22semidirect
167. #16840299C22semidirect
168. #16840299C22semidirect
169. #16840299C22semidirect
170. #16840298C22semidirect
171. #16840298C22semidirect
172. #16840298C22semidirect
173. #16840298C22semidirect
174. #16840298C22semidirect
175. #16840298C22semidirect
176. #16840298C22semidirect
177. #16840298C22semidirect
178. #16840298C22semidirect
179. #16840298C22semidirect
180. #16840298C22semidirect
181. #16840298C22semidirect
182. #16840297C22semidirect
183. #16840297C22semidirect
184. #16840297C22semidirect
185. #16840297C22semidirect
186. #16840297C22semidirect
187. #16840296C22semidirect
188. #16840295C22semidirect
189. #16840295C22semidirect
190. #16840295C22semidirect
191. #16840295C22semidirect
192. #16840294C22semidirect
193. #16840293C22semidirect
194. #16840293C22semidirect
195. #16840292C22semidirect
196. #16840292C22semidirect
197. #16840292C22semidirect
198. #16840291C22semidirect
199. #16840290C22semidirect
200. #16840289C22semidirect
201. #16840289C22semidirect
202. #16840289C22semidirect
203. #16840289C22semidirect
204. C2×#14519772C22semidirect
205. #126×D61C22semidirect
206. C2×#14519768C22semidirect
207. #125×D61C22semidirect
208. C2×#14519766C22semidirect
209. #124×D61C22semidirect
211. #16840275C22semidirect
212. #16840275C22semidirect
213. #16840275C22semidirect
214. #16840275C22semidirect
215. #16840274C22semidirect
216. #16840273C22semidirect
217. #16840270C22semidirect
218. #16840268C22semidirect
219. #16840268C22semidirect
220. C2×#14519761C22semidirect
221. #123×D61C22semidirect
222. C22⋊Q8×D61C22semidirect
225. #16840244C22semidirect
226. #16840244C22semidirect
227. #16840244C22semidirect
229. #16840243C22semidirect
231. #16840242C22semidirect
232. #16840242C22semidirect
233. #16840238C22semidirect
234. #16840238C22semidirect
235. #16840236C22semidirect
236. #16840236C22semidirect
237. #16840234C22semidirect
238. #16840234C22semidirect
239. #41×Dic61C22semidirect
240. C4×#11758226C22semidirect
241. C4×#11758226C22semidirect
242. C4×#11758226C22semidirect
243. C4×#11758226C22semidirect
246. #16840230C22semidirect
247. #16840230C22semidirect
248. #16840230C22semidirect
249. #16840230C22semidirect
250. #16840230C22semidirect
251. #16840230C22semidirect
252. #16840230C22semidirect
253. #16840230C22semidirect
254. #16840230C22semidirect
255. #16840230C22semidirect
256. #16840230C22semidirect
257. #16840230C22semidirect
258. #16840230C22semidirect
259. #16840230C22semidirect
260. C4×#11758224C22semidirect
261. C4×#11758224C22semidirect
262. C2×Q8×Dic61C22semidirect
263. C2×#14519742C22semidirect
264. C2×#14519742C22semidirect
265. C4×Q8×D61C22semidirect
266. C4×Q8×D61C22semidirect
267. C2×#14519739C22semidirect
268. C2×#14519739C22semidirect
269. C2×#14519739C22semidirect
270. C2×#14519739C22semidirect
271. C2×#14519737C22semidirect
272. C2×#14519737C22semidirect
273. C2×#14519737C22semidirect
274. C4×D4×D61C22semidirect
275. C4×D4×D61C22semidirect
276. C4×D4×D61C22semidirect
277. C2×#14519735C22semidirect
278. C2×#14519734C22semidirect
279. #117×D61C22semidirect
280. C22×C4×Dic61C22semidirect
281. C2×C42×D61C22semidirect
282. C61×#556C22semidirect
283. C61×#554C22semidirect
284. C61×#552C22semidirect
285. C61×#552C22semidirect
286. C61×#552C22semidirect
287. C61×#551C22semidirect
288. C61×#544C22semidirect
289. C61×#542C22semidirect
290. C61×#541C22semidirect
291. C61×#536C22semidirect
292. C61×#533C22semidirect
293. C61×#529C22semidirect
295. C2×C22⋊Q8×C61C22semidirect
296. C61×#520C22semidirect
297. C61×#519C22semidirect
298. C2×#117×C61C22semidirect
893. #11758222#41semidirect
1325. #3495D61semidirect
1372. #556C2×D61semidirect
1380. #554C2×D61semidirect
1403. #552C2×D61semidirect
1404. #552C2×D61semidirect
1405. #552C2×D61semidirect
1417. #551C2×D61semidirect
1444. #544C2×D61semidirect
1454. #542C2×D61semidirect
1459. #541C2×D61semidirect
1478. #536C2×D61semidirect
1490. #533C2×D61semidirect
1537. #529C2×D61semidirect
1558. C2×C22⋊Q8C2×D61semidirect
1569. #520C2×D61semidirect
1572. #519C2×D61semidirect
1618. C2×#117C2×D61semidirect
1621. C61#62810semidirect

Maximal subgroups

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

subgroupindex
#214599252
#214598922
#214598742
#214598092
#214597642
#214597462
#214597422
#214597362
#214597162
#214597112
#214596422
#214596082
#214595662
#214595542
#214595422
#214594952
#214594802
#214594332
#214594302
#214594222
#214594112
#214593842
#214593722
#214592512
#214592432
#214592422
#214592392
#214591162
#214591112
C2×#168402982
#529×D612
#214590282
#214590252
C2×#168402302
C61×#34952
#6281061