Finite Group Databasebeta

← #31763681

Subgroups — #31763681

Order 17152.

6518 conjugacy classes of subgroups.

The subgroup lattice has 1798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574705C214yesmaximal, complemented
2#22574703C211yesmaximal, characteristic, complemented
3#22574690C214yesmaximal, complemented
4#22574673C214yesmaximal, complemented
5#22574665C211yesmaximal, characteristic, complemented
6#22574662C212yesmaximal, complemented
7#22574642C214yesmaximal, complemented
8#22574619C212yesmaximal, complemented
9#22574605C211yesmaximal, characteristic, complemented
10#22574495C214yesmaximal, complemented
11#22574487C214yesmaximal, complemented
12#22574357C211yesmaximal, characteristic, complemented
13#22574355C212yesmaximal, complemented
14#22574353C211yesmaximal, characteristic, complemented
15#22573823C214yesmaximal, complemented
16#22573803C214yesmaximal, complemented
17#22573788C214yesmaximal, complemented
18#22573641C214yesmaximal, complemented
19#22573639C214yesmaximal, complemented
20#22573595C214yesmaximal, complemented
21#22573503C212yesmaximal, complemented
22C2×#16863952C211yesmaximal, characteristic, complemented
23C67×#3553C211yesmaximal, characteristic, complemented
24C67⋊#564C2211yescharacteristic, complemented
25C67⋊#564C2212yescomplemented
26#16864150C2214yes—
27#16864150C2212yescomplemented
28#16864150C2212yescomplemented
29#16864150C2214yescomplemented
30#16864149C2214yescomplemented
31#16864148C2214yes—
32#16864148C2214yescomplemented
33#16864147C2214yes—
34#16864147C2214yescomplemented
35#16864146C2212yescomplemented
36#16864145C2214yes—
37#16864144C2214yes—
38#16864144C2211yescharacteristic, complemented
39#16864143C2214yes—
40#16864142C2214yes—
41#16864141C2214yes—
42#16864140C2212yescomplemented
43#16864130C2214yescomplemented
44#16864130C2214yescomplemented
45#16864129C2214yescomplemented
46#16864126C2214yescomplemented
47#16864124C2214yescomplemented
48#16864123C2214yescomplemented
49#16864123C2214yescomplemented
50#16864123C2214yescomplemented
51#16864123C2214yescomplemented
52#16864118C2214yes—
53#16864114C2214yescomplemented
54#16864113C2214yes—
55#16864113C2214yescomplemented
56#16864113C2214yescomplemented
57#16864113C2214yescomplemented
58#16864105C2214yes—
59#16864105C2214yes—
60#16864101C2214yes—
61#16864101C2214yescomplemented
62#16864100C2214yes—
63#16864100C2214yes—
64#16864100C2214yescomplemented
65#16864100C2214yescomplemented
66#16864095C2214yes—
67#16864095C2214yes—
68#16864094C2214yes—
69#16864089C2214yes—
70#16864089C2214yes—
71#16864085C2214yescomplemented
72#16864079C2214yes—
73#16864079C2214yescomplemented
74#16864078C2214yes—
75#16864078C2214yescomplemented
76#16864064C2214yescomplemented
77D4×Dic134C2214yes—
78#16864059C2214yes—
79#16864059C2214yescomplemented
80#16864059C2214yescomplemented
81#16864056C2214yes—
82#16864055C2214yes—
83#16864055C2214yes—
84#16864052C2214yes—
85#16864047C2214yes—
86#16864044C2214yes—
87#16864044C2214yescomplemented
88#16864026C2214yescomplemented
89#16864025C2214yescomplemented
90#16864018C2214yes—
91#16864017C2214yes—
92#16864016C2214yes—
93#16864016C2214yes—
94#16864016C2214yes—
95#16864016C2214yes—
96#16864014C2214yes—
97#16864014C2214yescomplemented
98#16864012C2214yes—
99#16864012C2214yes—
100#16864012C2214yes—
101#16864012C2214yescomplemented
102#16864005C2214yes—
103#16864005C2214yes—
104#16864005C2214yes—
105#16864005C2214yes—
106#16864005C2214yescomplemented
107#16864005C2214yescomplemented
108#16864004C2214yescomplemented
109#16864003C2214yescomplemented
110#16864003C2214yescomplemented
111#16863998C2214yes—
112#16863998C2214yes—
113#16863994C2214yes—
114#16863994C2214yescomplemented
115#16863993C2214yes—
116#16863993C2214yes—
117#16863990C2214yes—
118#16863990C2214yes—
119#16863988C2214yes—
120#16863988C2214yescomplemented
121#16863987C2214yes—
122#16863987C2214yescomplemented
123#16863986C2214yes—
124#16863983C2214yes—
125#16863979C2214yes—
126#16863979C2214yes—
127#16863976C2214yes—
128#16863973C2214yes—
129#16863971C2214yes—
130#16863969C2214yescomplemented
131#16863968C2214yes—
132#16863968C2214yescomplemented
133#16863952C2211yescharacteristic
134#16863952C2211yescharacteristic
135#16863952C2211yescharacteristic
136#16863952C2211yescharacteristic
137#16863952C2212yes—
138#16863952C2214yes—
139#16863952C2214yes—
140#16863952C2212yes—
141#16863952C2212yes—
142#16863952C2214yescomplemented
143#16863952C2214yescomplemented
144#16863951C2214yescomplemented
145#16863950C2212yes—
146#16863948C2214yes—
147#16863948C2212yes—
148#16863948C2214yescomplemented
149#16863948C2214yescomplemented
150#16863948C2214yescomplemented
151#16863945C2212yes—
152#16863943C2212yes—
153#16863941C2214yes—
154#16863941C2212yes—
155C2×#14524042C2212yes—
156#16863932C2214yes—
157#16863932C2214yes—
158#16863931C2212yes—
159#16863931C2214yes—
160#16863931C2214yes—
161#16863931C2214yescomplemented
162#16863930C2212yes—
163#16863929C2214yes—
164#16863929C2214yes—
165#16863929C2214yes—
166#16863929C2214yes—
167#16863929C2214yescomplemented
168#16863929C2214yescomplemented
169#16863927C2214yescomplemented
170#16863925C2212yes—
171#16863924C2214yes—
172#16863923C2214yes—
173#16863923C2214yes—
174#16863923C2214yes—
175#16863923C2214yescomplemented
176#16863923C2214yescomplemented
177C2×#14524035C2211yescharacteristic
178#16863909C2212yes—
179#16863906C2212yes—
180#16863905C2214yes—
181#16863904C2214yes—
182C2×#14524021C2214yes—
183C4×#11761629C2212yes—
184#16863864C2214yes—
185#16863864C2214yescomplemented
186C4×#11761627C2214yes—
187C4×#11761627C2214yes—
188C4×#11761627C2212yes—
189C4×#11761627C2214yes—
190C4×#11761627C2214yescomplemented
191C2×#14524008C2214yes—
192C2×#14524008C2214yescomplemented
193C4×Q8×D67C2214yescomplemented
194C2×#14524001C2212yes—
195C2×C42×D67C2211yescharacteristic
196#564×C67C2211yescharacteristic, complemented
197#563×C67C2212yescomplemented
198#562×C67C2211yescharacteristic, complemented
199#554×C67C2214yes—
200#553×C67C2214yes—
201#552×C67C2214yescomplemented
202#541×C67C2214yescomplemented
203#539×C67C2214yes—
204#539×C67C2214yescomplemented
205#529×C67C2212yes—
206C2×#125×C67C2211yescharacteristic
207C2×#11761629C2312yes—
208C2×#11761628C2314yes—
209C2×#11761628C2314yes—
210C2×#11761627C2314yes—
211C2×#11761627C2314yes—
212C2×#11761627C2312yes—
213C22×Dic134C2314yes—
214C22×Dic134C2314yes—
215C2×Q8×D67C2314yes—
216C22×C4×D67C2311yescharacteristic
217C22×C4×D67C2312yes—
218#14524043C2314yes—
219#14524042C2314yes—
220#14524042C2314yes—
221#14524042C2314yes—
222#14524042C2314yes—
223#14524042C2314yes—
224#14524042C2314yes—
225#14524042C2314yes—
226#14524042C2314yes—
227#14524042C2314yes—
228#14524042C2314yes—
229#14524042C2314yes—
230#14524042C2312yes—
231#14524042C2312yes—
232#14524042C2312yes—
233#14524042C2312yes—
234#14524042C2312yes—
235#14524042C2312yes—
236#14524041C2314yes—
237#14524041C2314yes—
238#14524041C2314yes—
239#14524041C2314yes—
240#14524041C2312yes—
241#14524039C2314yes—
242#14524039C2312yes—
243#14524038C2314yes—
244#14524038C2314yes—
245#14524038C2314yes—
246#14524038C2314yes—
247#14524038C2314yes—
248#14524038C2314yes—
249#14524038C2314yes—
250#14524038C2314yes—
251#14524038C2314yes—
252#14524038C2314yes—
253#14524038C2314yes—
254#14524038C2314yes—
255#14524038C2314yes—
256#14524038C2314yes—
257#14524038C2314yes—
258#14524037C2314yes—
259#14524037C2314yes—
260#14524037C2314yes—
261#14524037C2314yes—
262#14524037C2314yes—
263#14524036C2314yes—
264#14524036C2314yes—
265#14524036C2314yes—
266#14524036C2314yes—
267#14524036C2314yes—
268#14524036C2314yes—
269#14524036C2314yes—
270#14524035C2314yes—
271#14524035C2314yes—
272#14524035C2314yes—
273#14524035C2312yes—
274#14524035C2311yescharacteristic
275#14524035C2311yescharacteristic
276#14524035C2312yes—
277#14524034C2314yes—
278#14524034C2314yes—
279#14524034C2314yes—
280#14524034C2314yes—
281#14524034C2314yes—
282#14524033C2314yes—
283#14524033C2314yes—
284#14524033C2314yes—
285#14524033C2314yes—
286#14524033C2314yes—
287#14524033C2314yes—
288#14524033C2314yes—
289#14524033C2314yes—
290#14524033C2314yes—
291#14524033C2314yes—
292#14524033C2314yes—
293#14524033C2314yes—
294#14524033C2314yes—
295#14524033C2314yes—
296#14524033C2314yes—
297#14524033C2314yes—
298#14524033C2314yes—
299#14524033C2314yes—
300#14524032C2314yes—
301#14524032C2314yes—
302#14524031C2314yes—
303#14524031C2314yes—
304#14524031C2314yes—
305#14524031C2312yes—
306#14524030C2314yes—
307#14524029C2314yes—
308#14524029C2314yes—
309#14524029C2314yes—
310#14524029C2314yes—
311#14524029C2314yes—
312#14524029C2314yes—
313#14524029C2314yes—
314#14524029C2314yes—
315#14524029C2314yes—
316#14524029C2314yes—
317#14524029C2314yes—
318#14524029C2314yes—
319#14524028C2314yes—
320#14524028C2314yes—
321#14524028C2314yes—
322#14524028C2314yes—
323#14524028C2314yes—
324#14524028C2314yes—
325#14524028C2314yes—
326#14524028C2314yes—
327#14524028C2314yes—
328#14524028C2314yes—
329#14524028C2314yes—
330#14524028C2314yes—
331#14524027C2314yes—
332#14524027C2314yes—
333#14524027C2314yes—
334#14524027C2314yes—
335#14524026C2314yes—
336#14524026C2314yes—
337#14524026C2314yes—
338#14524026C2314yes—
339#14524026C2314yes—
340#14524025C2314yes—
341#14524025C2314yes—
342#14524025C2314yes—
343#14524025C2314yes—
344#14524025C2314yes—
345#14524025C2314yes—
346#14524024C2314yes—
347#14524024C2314yes—
348#14524023C2314yes—
349#14524023C2314yes—
350#14524023C2314yes—
351#14524023C2314yes—
352#14524023C2314yes—
353#14524023C2312yes—
354#14524022C2314yes—
355#14524022C2314yes—
356#14524022C2314yes—
357#14524022C2314yes—
358#14524022C2314yes—
359#14524022C2312yes—
360#14524021C2314yes—
361#14524021C2314yes—
362#14524021C2314yes—
363#14524021C2314yes—
364#14524021C2314yes—
365#14524021C2314yes—
366#14524021C2314yes—
367#14524021C2314yes—
368#14524021C2314yes—
369#14524021C2314yes—
370#14524021C2314yes—
371#14524021C2314yes—
372#14524021C2314yes—
373#14524021C2314yes—
374#14524021C2314yes—
375#14524021C2314yes—
376#14524021C2314yes—
377#14524021C2314yes—
378#14524021C2314yes—
379#14524021C2314yes—
380#14524021C2314yes—
381#14524021C2314yes—
382#14524021C2314yes—
383#14524020C2314yes—
384#14524020C2314yes—
385#14524020C2314yes—
386#14524020C2314yes—
387#14524020C2314yes—
388#14524020C2314yes—
389#14524020C2314yes—
390#14524020C2314yes—
391#14524020C2314yes—
392#14524020C2314yes—
393#14524020C2314yes—
394#14524020C2314yes—
395#14524020C2314yes—
396#14524019C2314yes—
397#14524019C2314yes—
398#14524019C2312yes—
399#14524018C2314yes—
400#14524018C2314yes—
401#14524018C2314yes—
402#14524018C2312yes—
403#14524017C2314yes—
404#14524017C2314yes—
405#14524017C2314yes—
406#14524017C2312yes—
407#14524016C2314yes—
408#14524016C2314yes—
409#14524016C2314yes—
410#14524016C2314yes—
411#14524016C2314yes—
412#14524016C2314yes—
413#14524016C2314yes—
414#14524015C2314yes—
415#14524015C2314yes—
416#14524015C2314yes—
417#14524015C2314yes—
418#14524015C2314yes—
419#14524015C2314yes—
420#14524015C2314yes—
421#14524014C2312yes—
422#14524013C2314yes—
423#14524011C2314yes—
424Q8×Dic67C2314yes—
425Q8×Dic67C2312yes—
426C4×Dic134C2312yes—
427C4×Dic134C2314yes—
428C4×Dic134C2314yes—
429C4×Dic134C2314yes—
430C4×Dic134C2314yes—
431C4×Dic134C2314yes—
432C4×Dic134C2314yes—
433C4×Dic134C2314yes—
434#14524008C2314yes—
435#14524008C2314yes—
436#14524008C2314yes—
437#14524008C2314yes—
438#14524008C2314yes—
439#14524008C2314yes—
440#14524008C2314yes—
441#14524008C2314yes—
442#14524008C2314yes—
443#14524008C2314yes—
444#14524008C2314yes—
445#14524008C2314yes—
446#14524008C2314yes—
447#14524008C2314yes—
448#14524008C2314yes—
449#14524008C2314yes—
450#14524008C2314yes—
451#14524008C2314yes—
452#14524008C2314yes—
453#14524008C2314yes—
454#14524008C2314yes—
455#14524008C2312yes—
456C4×D268C2314yes—
457C4×D268C2312yes—
458D4×Dic67C2314yes—
459D4×Dic67C2314yes—
460D4×Dic67C2314yes—
461D4×Dic67C2312yes—
462D4×Dic67C2314yes—
463#14524005C2314yes—
464#14524005C2314yes—
465#14524005C2314yes—
466#14524005C2314yes—
467#14524005C2314yes—
468#14524005C2312yes—
469C4×C22⋊D67C2314yes—
470C4×C22⋊D67C2314yes—
471C4×C22⋊D67C2314yes—
472C4×C22⋊D67C2314yes—
473C4×C22⋊D67C2314yes—
474C4×C22⋊D67C2314yes—
475C4×C22⋊D67C2314yes—
476C4×C22⋊D67C2314yes—
477C4×C22⋊D67C2314yes—
478(C22⋊D67)⋊C4C2314yes—
479(C22⋊D67)⋊C4C2314yes—
480(C22⋊D67)⋊C4C2314yes—
481(C22⋊D67)⋊C4C2314yes—
482(C22⋊D67)⋊C4C2314yes—
483(C22⋊D67)⋊C4C2314yes—
484(C22⋊D67)⋊C4C2314yes—
485(C22⋊D67)⋊C4C2314yes—
486(C22⋊D67)⋊C4C2314yes—
487(C22⋊D67)⋊C4C2314yes—
488(C22⋊D67)⋊C4C2314yes—
489(C22⋊D67)⋊C4C2314yes—
490(C22⋊D67)⋊C4C2314yes—
491(C22⋊D67)⋊C4C2314yes—
492(C22⋊D67)⋊C4C2314yes—
493#14524001C2312yes—
494#14524001C2312yes—
495#14524001C2312yes—
496#14524001C2314yes—
497#14524001C2314yes—
498#14524001C2314yes—
499#14524001C2312yes—
500#14524001C2312yes—
501#14524001C2314yes—
502#14524001C2312yes—
503#14524001C2314yes—
504#14524001C2314yes—
505#14524001C2314yes—
506#14524000C2314yes—
507#14524000C2314yes—
508#14524000C2314yes—
509#14524000C2314yes—
510#14523999C2314yes—
511#14523999C2314yes—
512#14523999C2314yes—
513#14523999C2314yes—
514#14523999C2314yes—
515#14523999C2314yes—
516#14523999C2314yes—
517C2×C4⋊Dic67C2312yes—
518C2×Dic67⋊C4C2314yes—
519C2×Dic67⋊C4C2314yes—
520C2×Dic67⋊C4C2314yes—
521C2×Dic67⋊C4C2314yes—
522C4⋊C4×D67C2314yes—
523C4⋊C4×D67C2314yes—
524C4⋊C4×D67C2314yes—
525C2×(C2×D67)⋊C4C2314yes—
526C2×C4×Dic67C2312yes—
527C2×C4×Dic67C2311yescharacteristic
528C2×C4×Dic67C2314yes—
529C2×C4×Dic67C2314yes—
530C2×C4×Dic67C2314yes—
531C2×C4×Dic67C2314yes—
532C42×D67C2312yes—
533C42×D67C2311yescharacteristic
534C42×D67C2311yescharacteristic
535C42×D67C2311yescharacteristic
536C42×D67C2312yes—
537C42×D67C2311yescharacteristic
538C42×D67C2314yes—
539C42×D67C2314yes—
540C42×D67C2314yes—
541C4⋊Q8×C67C2314yes—
542#126×C67C2314yes—
543#126×C67C2314yes—
544#126×C67C2314yes—
545#126×C67C2314yes—
546#126×C67C2314yes—
547#125×C67C2314yes—
548#125×C67C2314yes—
549#125×C67C2314yes—
550#125×C67C2314yes—
551#125×C67C2314yes—
552#125×C67C2314yes—
553#125×C67C2312yes—
554#125×C67C2311yescharacteristic
555#125×C67C2311yescharacteristic
556#125×C67C2312yes—
557#124×C67C2312yes—
558#123×C67C2314yes—
559#123×C67C2314yes—
560#123×C67C2314yes—
561#123×C67C2314yes—
562#123×C67C2314yes—
563C22⋊Q8×C67C2314yes—
564C22⋊Q8×C67C2314yes—
565C22⋊Q8×C67C2314yes—
566C22⋊Q8×C67C2314yes—
567C22⋊Q8×C67C2314yes—
568C22⋊Q8×C67C2312yes—
569C22⋊Q8×C67C2314yes—
570#121×C67C2314yes—
571#121×C67C2314yes—
572#121×C67C2312yes—
573C4×Q8×C67C2312yes—
574C4×Q8×C67C2314yes—
575C4×D4×C67C2314yes—
576C4×D4×C67C2314yes—
577C4×D4×C67C2314yes—
578C4×D4×C67C2312yes—
579C4×D4×C67C2314yes—
580#117×C67C2314yes—
581#117×C67C2314yes—
582C2×C4⋊C4×C67C2314yes—
583C2×C4⋊C4×C67C2312yes—
584C2×C4⋊C4×C67C2314yes—
585C2×C42×C67C2311yescharacteristic
586C23×D67C2411yescharacteristic
587#11761629—44no—
588#11761628—48no—
589#11761628—48no—
590#11761627—216no—
591#11761627—48no—
592#11761627—44no—
593C2×Dic134—48no—
594C2×Dic134—48no—
595C2×Dic134C2414yes—
596C2×Dic134C2414yes—
597C2×Dic134C2414yes—
598C2×Dic134C2414yes—
599C2×Dic134C2414yes—
600C2×Dic134C2414yes—
601C2×Dic134C2414yes—
602C2×Dic134C2414yes—
603C2×Dic134C2414yes—
604C2×Dic134C2412yes—
605Q8×D67—48no—
606C2×D268C2414yes—
607C2×D268C2414yes—
608C2×D268C2414yes—
609C2×D268C2412yes—
610C2×C22⋊D67C2414yes—
611C2×C22⋊D67C2414yes—
612C2×C22⋊D67C2414yes—
613C2×C22⋊D67C2414yes—
614C2×C22⋊D67C2414yes—
615C2×C22⋊D67C2414yes—
616C2×C22⋊D67C2414yes—
617C22×Dic67C2414yes—
618C22×Dic67C2412yes—
619C22×Dic67C2414yes—
620C22×Dic67C2414yes—
621C22×Dic67C2414yes—
622C22×Dic67C2414yes—
623C22×Dic67C2411yescharacteristic
624C2×C4×D67—24no—
625C2×C4×D67—44no—
626C2×C4×D67C2414yes—
627C2×C4×D67C2412yes—
628C2×C4×D67C2411yescharacteristic
629C2×C4×D67C2411yescharacteristic
630C2×C4×D67C2411yescharacteristic
631C2×C4×D67C2411yescharacteristic
632C2×C4×D67C2412yes—
633C2×C4×D67C2414yes—
634C2×C4×D67C2412yes—
635C2×C4×D67C2412yes—
636C2×C4×D67C2414yes—
637C2×C4×D67C2414yes—
638C2×C4×D67C2414yes—
639C2×C4×D67C2414yes—
640C2×C4×D67C2414yes—
641C4⋊Dic67C2414yes—
642C4⋊Dic67C2414yes—
643C4⋊Dic67C2414yes—
644C4⋊Dic67C2412yes—
645C4⋊Dic67C2414yes—
646C4⋊Dic67C2412yes—
647C4⋊Dic67C2412yes—
648C4⋊Dic67C2414yes—
649C4⋊Dic67C2414yes—
650C4⋊Dic67C2414yes—
651C4⋊Dic67C2414yes—
652C4⋊Dic67C2412yes—
653C4⋊Dic67C2414yes—
654Dic67⋊C4C2414yes—
655Dic67⋊C4C2414yes—
656Dic67⋊C4C2414yes—
657Dic67⋊C4C2414yes—
658Dic67⋊C4C2414yes—
659Dic67⋊C4C2414yes—
660Dic67⋊C4C2414yes—
661Dic67⋊C4C2414yes—
662Dic67⋊C4C2414yes—
663Dic67⋊C4C2414yes—
664Dic67⋊C4C2414yes—
665Dic67⋊C4C2414yes—
666Dic67⋊C4C2414yes—
667Dic67⋊C4C2414yes—
668Dic67⋊C4C2414yes—
669Dic67⋊C4C2414yes—
670Dic67⋊C4C2414yes—
671Dic67⋊C4C2414yes—
672Dic67⋊C4C2414yes—
673Dic67⋊C4C2414yes—
674Dic67⋊C4C2414yes—
675Dic67⋊C4C2414yes—
676Dic67⋊C4C2414yes—
677Dic67⋊C4C2414yes—
678Dic67⋊C4C2414yes—
679Dic67⋊C4C2414yes—
680Dic67⋊C4C2414yes—
681Dic67⋊C4C2414yes—
682Dic67⋊C4C2414yes—
683Dic67⋊C4C2414yes—
684C22⋊Dic67C2414yes—
685C22⋊Dic67C2414yes—
686C22⋊Dic67C2414yes—
687C22⋊Dic67C2414yes—
688C22⋊Dic67C2414yes—
689C22⋊Dic67C2414yes—
690C22⋊Dic67C2414yes—
691(C2×D67)⋊C4C2414yes—
692(C2×D67)⋊C4C2414yes—
693(C2×D67)⋊C4C2414yes—
694(C2×D67)⋊C4C2414yes—
695(C2×D67)⋊C4C2414yes—
696(C2×D67)⋊C4C2414yes—
697(C2×D67)⋊C4C2414yes—
698(C2×D67)⋊C4C2414yes—
699(C2×D67)⋊C4C2414yes—
700(C2×D67)⋊C4C2414yes—
701(C2×D67)⋊C4C2414yes—
702(C2×D67)⋊C4C2414yes—
703(C2×D67)⋊C4C2414yes—
704(C2×D67)⋊C4C2414yes—
705(C2×D67)⋊C4C2414yes—
706(C2×D67)⋊C4C2414yes—
707(C2×D67)⋊C4C2414yes—
708(C2×D67)⋊C4C2414yes—
709(C2×D67)⋊C4C2414yes—
710(C2×D67)⋊C4C2414yes—
711(C2×D67)⋊C4C2414yes—
712(C2×D67)⋊C4C2414yes—
713C4×Dic67C2412yes—
714C4×Dic67C2414yes—
715C4×Dic67C2412yes—
716C4×Dic67C2412yes—
717C4×Dic67C2411yescharacteristic
718C4×Dic67C2412yes—
719C4×Dic67C2412yes—
720C4×Dic67C2411yescharacteristic
721C4×Dic67C2414yes—
722C4×Dic67C2414yes—
723C4×Dic67C2414yes—
724C4×Dic67C2414yes—
725C4×Dic67C2414yes—
726C4×Dic67C2414yes—
727C4×Dic67C2414yes—
728C4×Dic67C2414yes—
729C4×Dic67C2414yes—
730C4×Dic67C2414yes—
731C4×Dic67C2414yes—
732C4×Dic67C2414yes—
733C4×Dic67C2414yes—
734C4×Dic67C2414yes—
735C2×Q8×C67C2414yes—
736C2×Q8×C67C2412yes—
737C2×D4×C67C2414yes—
738C2×D4×C67C2414yes—
739C2×D4×C67C2412yes—
740C22×C4×C67C2411yescharacteristic
741C22×C4×C67C2412yes—
742C22×C4×C67C2414yes—
743C22×C4×C67C2414yes—
744C22×C4×C67C2414yes—
745C22×C4×C67C2414yes—
746C4⋊C4×C67C2414yes—
747C4⋊C4×C67C2414yes—
748C4⋊C4×C67C2414yes—
749C4⋊C4×C67C2414yes—
750C4⋊C4×C67C2414yes—
751C4⋊C4×C67C2412yes—
752C4⋊C4×C67C2414yes—
753C4⋊C4×C67C2414yes—
754C4⋊C4×C67C2414yes—
755C4⋊C4×C67C2412yes—
756C4⋊C4×C67C2414yes—
757C4⋊C4×C67C2414yes—
758C4⋊C4×C67C2412yes—
759C4⋊C4×C67C2414yes—
760C4⋊C4×C67C2414yes—
761C4⋊C4×C67C2414yes—
762C4⋊C4×C67C2412yes—
763C4⋊C4×C67C2414yes—
764C4⋊C4×C67C2414yes—
765C22⋊C4×C67C2414yes—
766C22⋊C4×C67C2414yes—
767C22⋊C4×C67C2414yes—
768C22⋊C4×C67C2414yes—
769C22⋊C4×C67C2414yes—
770C22⋊C4×C67C2414yes—
771C22⋊C4×C67C2414yes—
772C22⋊C4×C67C2414yes—
773C22⋊C4×C67C2414yes—
774C42×C67C2411yescharacteristic
775C42×C67C2412yes—
776C42×C67C2411yescharacteristic
777C42×C67C2414yes—
778C42×C67C2414yes—
779C42×C67C2414yes—
780C23×C67C2514yes—
781C23×C67C2511yescharacteristic
782C22×D67—22no—
783C22×D67—42no—
784C22×D67C2511yescharacteristic
785C22×D67C2511yescharacteristic
786C22×D67C2514yes—
787Q8×C67—44no—
788Q8×C67—42no—
789D4×C67—28no—
790D4×C67—44no—
791D4×C67—42no—
792C2×C4×C67—22no—
793C2×C4×C67—42no—
794C2×C4×C67—44no—
795C2×C4×C67—44no—
796C2×C4×C67—44no—
797C2×C4×C67—44no—
798C2×C4×C67C2512yes—
799C2×C4×C67C2514yes—
800C2×C4×C67C2511yescharacteristic
801C2×C4×C67C2511yescharacteristic
802C2×C4×C67C2514yes—
803C2×C4×C67C2512yes—
804C2×C4×C67C2514yes—
805C2×C4×C67C2514yes—
806C2×C4×C67C2514yes—
807C22⋊D67—28no—
808C22⋊D67—28no—
809C22⋊D67—28no—
810C22⋊D67—44no—
811C22⋊D67—44no—
812C22⋊D67—44no—
813C22⋊D67—44no—
814C2×Dic67—28no—
815C2×Dic67—24no—
816C2×Dic67—28no—
817C2×Dic67—44no—
818C2×Dic67—44no—
819C2×Dic67—44no—
820C2×Dic672−1+414yes—
821C2×Dic67C2514yes—
822C2×Dic67C2514yes—
823C2×Dic67C2512yes—
824C2×Dic67C2514yes—
825C2×Dic67C2514yes—
826C2×Dic67C2514yes—
827C2×Dic67C2511yescharacteristic
828C2×Dic67C2511yescharacteristic
829C2×Dic67C2512yes—
830D268—44no—
831D268—44no—
832D268—42no—
833D268—44no—
834C4×D67—22no—
835C4×D67—22no—
836C4×D67—22no—
837C4×D67—22no—
838C4×D67—28no—
839C4×D67—24no—
840C4×D67—24no—
841C4×D67—28no—
842C4×D67—42no—
843C4×D67—42no—
844C4×D67—44no—
845C4×D67—44no—
846C4×D67—44no—
847C4×D67—44no—
848C4×D67—44no—
849Dic134—28no—
850Dic134—28no—
851Dic134—28no—
852Dic134—28no—
853Dic134—44no—
854Dic134—44no—
855Dic134—44no—
856Dic134—44no—
857Dic134—44no—
858Dic134—42no—
859C22×C67—22no—
860C22×C67—24no—
861C22×C67—24no—
862C22×C67—24no—
863C22×C67C2×2−1+412yes—
864C22×C67C2611yescharacteristic
865C2×D67—21no—
866C2×D67—21no—
867C2×D67—24no—
868C2×D67—24no—
869C2×D67—22no—
870C2×D67—22no—
871C2×D67—24no—
872C2×D67—44no—
873C4×C67—24no—
874C4×C67—21no—
875C4×C67—21no—
876C4×C67—24no—
877C4×C67—24no—
878C4×C67—24no—
879C4×C67—22no—
880C4×C67—24no—
881C4×C67—22no—
882Dic67—24no—
883Dic67—24no—
884Dic67—24no—
885Dic67—24no—
886Dic67—22no—
887Dic67—24no—
888Dic67C2×2−1+412yes—
889Dic67C2×2−1+412yes—
890Dic67#58514yes—
891#62761—671nomaximal, Sylow
892C2×C67—22no—
893C2×C67—44no—
894C2×C67C22×2−1+411yescharacteristic
895C2×C67C2×#58512yes—
896D67—44no—
897D67—41no—
898D67—41no—
899#3557—674no—
900#3556—671no—
901#3555—674no—
902#3554—674no—
903#3553—672no—
904#3553—671no—
905#3553D6711yescharacteristic, complemented
906#3552—674no—
907#3550—672no—
908#3548—671no—
909#3541—674no—
910#3541—674no—
911#3531—671no—
912#3531—672no—
913#3531—671no—
914#3482—674no—
915#3480—674no—
916Q8×#41—674no—
917#3461—674no—
918#3461—674no—
919#3455—674no—
920#3444—672no—
921C2×#533—671no—
922C67#6276111yescharacteristic, complemented, Sylow
923#564—671no—
924#564—672no—
925#564C2×D6711yescharacteristic, complemented
926#563—674no—
927#563—674no—
928#563—674no—
929#563—674no—
930#563—672no—
931#563—672no—
932#563—674no—
933#563—672no—
934#563—674no—
935#563—674no—
936#563—674no—
937#563C2×D6712yescomplemented
938#562—674no—
939#562—671no—
940#562—672no—
941#562—674no—
942#562—674no—
943#562—674no—
944#562C2×D6711yescharacteristic, complemented
945#559—674no—
946#559—674no—
947#559—674no—
948Q82—674no—
949#557—674no—
950#557—674no—
951#557—674no—
952#557—674no—
953#557—674no—
954#556—674no—
955#556—674no—
956#556—674no—
957#556—674no—
958#556—674no—
959#556—674no—
960#554—674no—
961#554—674no—
962#554—674no—
963#554—674no—
964#554—674no—
965#554—674no—
966#554—674no—
967#554—674no—
968#554C2×D6714yes—
969#553—674no—
970#553—674no—
971#553—674no—
972#553—674no—
973#553—674no—
974#553C2×D6714yes—
975#552—674no—
976#552—674no—
977#552—674no—
978#552—674no—
979#552—674no—
980#552C2×D6714yescomplemented
981#550—674no—
982D4×Q8—674no—
983D4×Q8—674no—
984D4×Q8—674no—
985D4×Q8—674no—
986#548—674no—
987#548—674no—
988#548—674no—
989#548—674no—
990#547—674no—
991#547—674no—
992#547—674no—
993#544—674no—
994#544—674no—
995#542—674no—
996#542—674no—
997#542—674no—
998#542—674no—
999#542—674no—
1000#542—674no—
1001#542—674no—
1002#542—674no—
1003#542—674no—
1004#542—674no—
1005#542—674no—
1006#542—674no—
1007#541—674no—
1008#541—674no—
1009#541—674no—
1010#541—674no—
1011#541—674no—
1012#541—674no—
1013#541—674no—
1014#541—674no—
1015#541—674no—
1016#541C2×D6714yescomplemented
1017#540—674no—
1018#540—674no—
1019#539—674no—
1020#539—674no—
1021#539—674no—
1022#539—674no—
1023#539—674no—
1024#539—674no—
1025#539—674no—
1026#539—674no—
1027#539—674no—
1028#539—674no—
1029#539C2×D6714yes—
1030#539C2×D6714yescomplemented
1031#538—674no—
1032#538—674no—
1033#538—674no—
1034#538—674no—
1035#537—674no—
1036#537—674no—
1037#536—674no—
1038#536—674no—
1039#536—674no—
1040#536—674no—
1041#533—674no—
1042#533—674no—
1043#533—672no—
1044#533—671no—
1045#533—671no—
1046#533—671no—
1047#533—671no—
1048#533—674no—
1049#533—672no—
1050#533—672no—
1051#533—674no—
1052#533—674no—
1053#533—672no—
1054#533—674no—
1055#533—674no—
1056#533—674no—
1057#533—674no—
1058#533—672no—
1059#532—672no—
1060#532—672no—
1061#532—674no—
1062#532—672no—
1063C2×C4⋊Q8—672no—
1064#529—674no—
1065#529—674no—
1066#529—674no—
1067#529—674no—
1068#529—674no—
1069#529—674no—
1070#529—672no—
1071#529—674no—
1072#529—674no—
1073#529—674no—
1074#529—672no—
1075#529—674no—
1076#529—674no—
1077#529—674no—
1078#529—674no—
1079#529—674no—
1080#529—674no—
1081#529—674no—
1082#529—674no—
1083#529—674no—
1084#529—672no—
1085#529C2×D6712yes—
1086C2×#125—671no—
1087C2×#125C2×D6711yescharacteristic
1088#525—674no—
1089#525—672no—
1090#525—672no—
1091#525—674no—
1092C2×C22⋊Q8—674no—
1093C4×#41—672no—
1094C4×#41—672no—
1095C4×#41—674no—
1096C4×#41—674no—
1097C4×#41—674no—
1098C4×#41—674no—
1099C4×#41—674no—
1100C4×#41—674no—
1101C2×C4×Q8—674no—
1102C2×C4×Q8—674no—
1103C2×C4×Q8—674no—
1104C2×#117—672no—
1105C22×C42—671no—
1106C2×#41—672no—
1107C2×#41—672no—
1108C2×#41—674no—
1109C2×#41—674no—
1110C2×#41—674no—
1111C2×#41—674no—
1112C22×Q8—674no—
1113C22×Q8—674no—
1114C22×Q8—674no—
1115C23×C4—672no—
1116C23×C4—671no—
1117C4⋊Q8—672no—
1118C4⋊Q8—674no—
1119C4⋊Q8—674no—
1120C4⋊Q8—674no—
1121C4⋊Q8—674no—
1122C4⋊Q8—674no—
1123C4⋊Q8—674no—
1124C4⋊Q8—672no—
1125C4⋊Q8—672no—
1126C4⋊Q8—672no—
1127C4⋊Q8—672no—
1128C4⋊Q8—672no—
1129C4⋊Q8—672no—
1130C4⋊Q8—674no—
1131C4⋊Q8—674no—
1132C4⋊Q8—674no—
1133C4⋊Q8—674no—
1134C4⋊Q8—674no—
1135C4⋊Q8—674no—
1136C4⋊Q8—674no—
1137C4⋊Q8—674no—
1138C4⋊Q8—674no—
1139C4⋊Q8—674no—
1140C4⋊Q8C22×D6714yes—
1141#127—672no—
1142#127—674no—
1143#126—674no—
1144#126—674no—
1145#126—674no—
1146#126—674no—
1147#126—674no—
1148#126—674no—
1149#126—674no—
1150#126—674no—
1151#126—674no—
1152#126—674no—
1153#126—674no—
1154#126—674no—
1155#126—674no—
1156#126—674no—
1157#126—674no—
1158#126—674no—
1159#126—674no—
1160#126—674no—
1161#126—674no—
1162#126—674no—
1163#126—674no—
1164#126—674no—
1165#126—674no—
1166#126—674no—
1167#126—674no—
1168#126—674no—
1169#126—674no—
1170#126C22×D6714yes—
1171#126C22×D6714yes—
1172#126C22×D6714yes—
1173#126C22×D6714yes—
1174#126C22×D6714yes—
1175#125—674no—
1176#125—674no—
1177#125—674no—
1178#125—674no—
1179#125—674no—
1180#125—674no—
1181#125—674no—
1182#125—674no—
1183#125—674no—
1184#125—674no—
1185#125—674no—
1186#125—674no—
1187#125—674no—
1188#125—674no—
1189#125—674no—
1190#125—674no—
1191#125—674no—
1192#125—674no—
1193#125—674no—
1194#125—674no—
1195#125—674no—
1196#125—674no—
1197#125—674no—
1198#125—674no—
1199#125—672no—
1200#125—671no—
1201#125—671no—
1202#125—672no—
1203#125—674no—
1204#125—674no—
1205#125C22×D6714yes—
1206#125C22×D6712yes—
1207#125C22×D6711yescharacteristic
1208#125C22×D6711yescharacteristic
1209#125C22×D6712yes—
1210#125C22×D6714yes—
1211#125C22×D6714yes—
1212#125C22×D6714yes—
1213#125C22×D6714yes—
1214#125C22×D6714yes—
1215#124—674no—
1216#124—674no—
1217#124—674no—
1218#124—674no—
1219#124—674no—
1220#124—674no—
1221#124—674no—
1222#124—674no—
1223#124—674no—
1224#124—674no—
1225#124—674no—
1226#124—674no—
1227#124—674no—
1228#124—674no—
1229#124—674no—
1230#124—672no—
1231#124—674no—
1232#124—674no—
1233#124—674no—
1234#124C22×D6712yes—
1235#123—674no—
1236#123—674no—
1237#123—674no—
1238#123—674no—
1239#123—674no—
1240#123—674no—
1241#123—674no—
1242#123—674no—
1243#123—674no—
1244#123—674no—
1245#123—674no—
1246#123—674no—
1247#123—674no—
1248#123—674no—
1249#123—674no—
1250#123—674no—
1251#123—674no—
1252#123—674no—
1253#123—674no—
1254#123—674no—
1255#123—674no—
1256#123—674no—
1257#123—674no—
1258#123—674no—
1259#123—674no—
1260#123—674no—
1261#123—674no—
1262#123—674no—
1263#123—674no—
1264#123C22×D6714yes—
1265#123C22×D6714yes—
1266#123C22×D6714yes—
1267#123C22×D6714yes—
1268#123C22×D6714yes—
1269C22⋊Q8—672no—
1270C22⋊Q8—674no—
1271C22⋊Q8—674no—
1272C22⋊Q8—672no—
1273C22⋊Q8—674no—
1274C22⋊Q8—674no—
1275C22⋊Q8—674no—
1276C22⋊Q8—674no—
1277C22⋊Q8—674no—
1278C22⋊Q8—674no—
1279C22⋊Q8—674no—
1280C22⋊Q8—674no—
1281C22⋊Q8—674no—
1282C22⋊Q8—674no—
1283C22⋊Q8—674no—
1284C22⋊Q8—674no—
1285C22⋊Q8—674no—
1286C22⋊Q8—674no—
1287C22⋊Q8—674no—
1288C22⋊Q8—674no—
1289C22⋊Q8—672no—
1290C22⋊Q8—674no—
1291C22⋊Q8—674no—
1292C22⋊Q8—674no—
1293C22⋊Q8—674no—
1294C22⋊Q8—674no—
1295C22⋊Q8—674no—
1296C22⋊Q8—674no—
1297C22⋊Q8—674no—
1298C22⋊Q8—674no—
1299C22⋊Q8—674no—
1300C22⋊Q8—674no—
1301C22⋊Q8—674no—
1302C22⋊Q8—674no—
1303C22⋊Q8—674no—
1304C22⋊Q8—674no—
1305C22⋊Q8—674no—
1306C22⋊Q8—674no—
1307C22⋊Q8—674no—
1308C22⋊Q8—674no—
1309C22⋊Q8—674no—
1310C22⋊Q8—674no—
1311C22⋊Q8—674no—
1312C22⋊Q8—674no—
1313C22⋊Q8—674no—
1314C22⋊Q8—674no—
1315C22⋊Q8—674no—
1316C22⋊Q8—674no—
1317C22⋊Q8—674no—
1318C22⋊Q8—674no—
1319C22⋊Q8—674no—
1320C22⋊Q8C22×D6712yes—
1321C22⋊Q8C22×D6714yes—
1322C22⋊Q8C22×D6714yes—
1323C22⋊Q8C22×D6714yes—
1324C22⋊Q8C22×D6714yes—
1325C22⋊Q8C22×D6714yes—
1326C22⋊Q8C22×D6714yes—
1327#121—674no—
1328#121—672no—
1329#121—674no—
1330#121—674no—
1331#121—674no—
1332#121—674no—
1333#121—674no—
1334#121—674no—
1335#121—672no—
1336#121—674no—
1337#121—674no—
1338#121—674no—
1339#121—672no—
1340#121—674no—
1341#121—674no—
1342#121—674no—
1343#121—674no—
1344#121—674no—
1345#121—674no—
1346#121—674no—
1347#121—674no—
1348#121—674no—
1349#121—674no—
1350#121C22×D6712yes—
1351#121C22×D6714yes—
1352#121C22×D6714yes—
1353#120—674no—
1354#120—674no—
1355C4×Q8—674no—
1356C4×Q8—672no—
1357C4×Q8—674no—
1358C4×Q8—674no—
1359C4×Q8—674no—
1360C4×Q8—674no—
1361C4×Q8—674no—
1362C4×Q8—674no—
1363C4×Q8—674no—
1364C4×Q8—674no—
1365C4×Q8—674no—
1366C4×Q8—674no—
1367C4×Q8—674no—
1368C4×Q8—674no—
1369C4×Q8—674no—
1370C4×Q8—674no—
1371C4×Q8—674no—
1372C4×Q8—674no—
1373C4×Q8—672no—
1374C4×Q8—674no—
1375C4×Q8—674no—
1376C4×Q8—674no—
1377C4×Q8—674no—
1378C4×Q8—674no—
1379C4×Q8—674no—
1380C4×Q8—674no—
1381C4×Q8—674no—
1382C4×Q8—672no—
1383C4×Q8—674no—
1384C4×Q8—674no—
1385C4×Q8—674no—
1386C4×Q8—674no—
1387C4×Q8C22×D6714yes—
1388C4×Q8C22×D6712yes—
1389C4×D4—674no—
1390C4×D4—672no—
1391C4×D4—674no—
1392C4×D4—674no—
1393C4×D4—674no—
1394C4×D4—674no—
1395C4×D4—674no—
1396C4×D4—674no—
1397C4×D4—674no—
1398C4×D4—674no—
1399C4×D4—674no—
1400C4×D4—674no—
1401C4×D4—674no—
1402C4×D4—674no—
1403C4×D4—674no—
1404C4×D4—674no—
1405C4×D4—674no—
1406C4×D4—672no—
1407C4×D4—674no—
1408C4×D4—674no—
1409C4×D4—674no—
1410C4×D4—674no—
1411C4×D4—674no—
1412C4×D4—674no—
1413C4×D4—674no—
1414C4×D4—674no—
1415C4×D4—674no—
1416C4×D4—674no—
1417C4×D4—674no—
1418C4×D4—674no—
1419C4×D4—674no—
1420C4×D4—674no—
1421C4×D4—674no—
1422C4×D4—674no—
1423C4×D4—674no—
1424C4×D4—674no—
1425C4×D4—672no—
1426C4×D4C22×D6714yes—
1427C4×D4C22×D6712yes—
1428C4×D4C22×D6714yes—
1429C4×D4C22×D6714yes—
1430C4×D4C22×D6714yes—
1431#117—674no—
1432#117—672no—
1433#117—672no—
1434#117—672no—
1435#117—674no—
1436#117—672no—
1437#117—672no—
1438#117—672no—
1439#117—674no—
1440#117—674no—
1441#117—674no—
1442#117—674no—
1443#117—674no—
1444#117—674no—
1445#117—674no—
1446#117—674no—
1447#117—674no—
1448#117—674no—
1449#117—674no—
1450#117—674no—
1451#117—674no—
1452#117—674no—
1453#117—674no—
1454#117—674no—
1455#117C22×D6714yes—
1456#117C22×D6714yes—
1457C2×C4⋊C4—672no—
1458C2×C4⋊C4—674no—
1459C2×C4⋊C4—674no—
1460C2×C4⋊C4—674no—
1461C2×C4⋊C4—674no—
1462C2×C4⋊C4—674no—
1463C2×C4⋊C4—674no—
1464C2×C4⋊C4—674no—
1465C2×C4⋊C4C22×D6712yes—
1466C2×C4⋊C4C22×D6714yes—
1467C2×C4⋊C4C22×D6714yes—
1468C2×C22⋊C4—674no—
1469C2×C42—674no—
1470C2×C42—672no—
1471C2×C42—674no—
1472C2×C42—674no—
1473C2×C42—674no—
1474C2×C42—671no—
1475C2×C42—674no—
1476C2×C42—674no—
1477C2×C42—674no—
1478C2×C42—671no—
1479C2×C42—672no—
1480C2×C42—671no—
1481C2×C42—671no—
1482C2×C42—672no—
1483C2×C42—671no—
1484C2×C42C22×D6711yescharacteristic
1485C24—671no—
1486#41—2688no—
1487#41—2688no—
1488#41—2688no—
1489#41—2684no—
1490#41—2684no—
1491#41—13416no—
1492C2×Q8—2688no—
1493C2×Q8—2688no—
1494C2×Q8—2688no—
1495C2×Q8—674no—
1496C2×Q8—674no—
1497C2×Q8—674no—
1498C2×Q8—674no—
1499C2×Q8—674no—
1500C2×Q8—672no—
1501C2×Q8—674no—
1502C2×Q8—674no—
1503C2×Q8—674no—
1504C2×Q8—674no—
1505C2×Q8C23×D6712yes—
1506C2×Q8C23×D6714yes—
1507C2×D4—674no—
1508C2×D4—674no—
1509C2×D4—674no—
1510C2×D4—674no—
1511C2×D4—674no—
1512C2×D4—674no—
1513C2×D4—674no—
1514C2×D4—674no—
1515C2×D4—674no—
1516C2×D4—674no—
1517C2×D4—672no—
1518C2×D4C23×D6714yes—
1519C2×D4C23×D6712yes—
1520C2×D4C23×D6714yes—
1521C22×C4—2684no—
1522C22×C4—674no—
1523C22×C4—674no—
1524C22×C4—674no—
1525C22×C4—672no—
1526C22×C4—672no—
1527C22×C4—674no—
1528C22×C4—674no—
1529C22×C4—674no—
1530C22×C4—674no—
1531C22×C4—674no—
1532C22×C4—671no—
1533C22×C4—674no—
1534C22×C4—672no—
1535C22×C4—674no—
1536C22×C4—674no—
1537C22×C4—671no—
1538C22×C4—671no—
1539C22×C4—671no—
1540C22×C4—671no—
1541C22×C4—672no—
1542C22×C4—672no—
1543C22×C4—674no—
1544C22×C4—1344no—
1545C22×C4C23×D6711yescharacteristic
1546C22×C4C23×D6712yes—
1547C22×C4C23×D6714yes—
1548C22×C4C23×D6714yes—
1549C22×C4C23×D6714yes—
1550C22×C4C23×D6714yes—
1551C4⋊C4—674no—
1552C4⋊C4—674no—
1553C4⋊C4—674no—
1554C4⋊C4—674no—
1555C4⋊C4—674no—
1556C4⋊C4—674no—
1557C4⋊C4—672no—
1558C4⋊C4—674no—
1559C4⋊C4—672no—
1560C4⋊C4—674no—
1561C4⋊C4—674no—
1562C4⋊C4—674no—
1563C4⋊C4—674no—
1564C4⋊C4—674no—
1565C4⋊C4—674no—
1566C4⋊C4—674no—
1567C4⋊C4—674no—
1568C4⋊C4—674no—
1569C4⋊C4—674no—
1570C4⋊C4—674no—
1571C4⋊C4—674no—
1572C4⋊C4—674no—
1573C4⋊C4—674no—
1574C4⋊C4—674no—
1575C4⋊C4—674no—
1576C4⋊C4—672no—
1577C4⋊C4—674no—
1578C4⋊C4—674no—
1579C4⋊C4—674no—
1580C4⋊C4—672no—
1581C4⋊C4—674no—
1582C4⋊C4—674no—
1583C4⋊C4—674no—
1584C4⋊C4—674no—
1585C4⋊C4—674no—
1586C4⋊C4—674no—
1587C4⋊C4—674no—
1588C4⋊C4—674no—
1589C4⋊C4—674no—
1590C4⋊C4—674no—
1591C4⋊C4—674no—
1592C4⋊C4—674no—
1593C4⋊C4—674no—
1594C4⋊C4C23×D6714yes—
1595C4⋊C4C23×D6714yes—
1596C4⋊C4C23×D6714yes—
1597C4⋊C4C23×D6712yes—
1598C4⋊C4C23×D6714yes—
1599C4⋊C4C23×D6712yes—
1600C4⋊C4C23×D6714yes—
1601C4⋊C4C23×D6714yes—
1602C4⋊C4C23×D6714yes—
1603C4⋊C4C23×D6714yes—
1604C4⋊C4C23×D6714yes—
1605C4⋊C4C23×D6712yes—
1606C4⋊C4C23×D6714yes—
1607C4⋊C4C23×D6712yes—
1608C4⋊C4C23×D6714yes—
1609C4⋊C4C23×D6714yes—
1610C4⋊C4C23×D6714yes—
1611C4⋊C4C23×D6714yes—
1612C4⋊C4C23×D6714yes—
1613C22⋊C4—674no—
1614C22⋊C4—674no—
1615C22⋊C4—674no—
1616C22⋊C4—674no—
1617C22⋊C4—674no—
1618C22⋊C4—674no—
1619C22⋊C4—674no—
1620C22⋊C4—674no—
1621C22⋊C4—674no—
1622C22⋊C4—674no—
1623C22⋊C4—674no—
1624C22⋊C4—674no—
1625C22⋊C4—674no—
1626C22⋊C4—674no—
1627C22⋊C4—674no—
1628C22⋊C4—674no—
1629C22⋊C4—674no—
1630C22⋊C4—674no—
1631C22⋊C4—674no—
1632C22⋊C4—674no—
1633C22⋊C4—674no—
1634C22⋊C4—674no—
1635C22⋊C4—674no—
1636C22⋊C4—674no—
1637C22⋊C4—674no—
1638C22⋊C4—674no—
1639C22⋊C4—674no—
1640C22⋊C4—674no—
1641C22⋊C4—674no—
1642C22⋊C4C23×D6714yes—
1643C22⋊C4C23×D6714yes—
1644C22⋊C4C23×D6714yes—
1645C22⋊C4C23×D6714yes—
1646C22⋊C4C23×D6714yes—
1647C22⋊C4C23×D6714yes—
1648C22⋊C4C23×D6714yes—
1649C22⋊C4C23×D6714yes—
1650C22⋊C4C23×D6714yes—
1651C42—672no—
1652C42—674no—
1653C42—672no—
1654C42—674no—
1655C42—674no—
1656C42—674no—
1657C42—672no—
1658C42—671no—
1659C42—672no—
1660C42—672no—
1661C42—671no—
1662C42—674no—
1663C42—674no—
1664C42—674no—
1665C42—674no—
1666C42—674no—
1667C42—674no—
1668C42—674no—
1669C42—674no—
1670C42—674no—
1671C42—674no—
1672C42—674no—
1673C42C23×D6711yescharacteristic
1674C42C23×D6712yes—
1675C42C23×D6711yescharacteristic
1676C42C23×D6714yes—
1677C42C23×D6714yes—
1678C42C23×D6714yes—
1679C23—2682no—
1680C23—671no—
1681C23—671no—
1682C23—674no—
1683C23—1342no—
1684C23C24×D6714yes—
1685C23C24×D6711yescharacteristic
1686Q8—44no—
1687Q8—42no—
1688Q8—2684no—
1689Q8—2684no—
1690Q8—2684no—
1691Q8—2684no—
1692Q8—2684no—
1693Q8—2682no—
1694Q8—1348no—
1695Q8—1348no—
1696Q8—1348no—
1697Q8—1348no—
1698D4—28no—
1699D4—44no—
1700D4—42no—
1701D4—2684no—
1702D4—2684no—
1703D4—2682no—
1704D4—2684no—
1705D4—2684no—
1706D4—2684no—
1707D4—2684no—
1708D4—2684no—
1709D4—1348no—
1710D4—1348no—
1711D4—1348no—
1712C2×C4—22no—
1713C2×C4—42no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—2682no—
1719C2×C4—2682no—
1720C2×C4—2684no—
1721C2×C4—2684no—
1722C2×C4—2684no—
1723C2×C4—2684no—
1724C2×C4—2684no—
1725C2×C4—2684no—
1726C2×C4—2684no—
1727C2×C4—2684no—
1728C2×C4—674no—
1729C2×C4—671no—
1730C2×C4—671no—
1731C2×C4—672no—
1732C2×C4—674no—
1733C2×C4—674no—
1734C2×C4—672no—
1735C2×C4—674no—
1736C2×C4—674no—
1737C2×C4—674no—
1738C2×C4—1344no—
1739C2×C4—1344no—
1740C2×C4—1342no—
1741C2×C4—1342no—
1742C2×C4—1342no—
1743C2×C4—1342no—
1744C2×C4—1348no—
1745C2×C4—1348no—
1746C2×C4—1344no—
1747C2×C4—1348no—
1748C2×C4—1348no—
1749C2×C4C24×D6712yes—
1750C2×C4C24×D6714yes—
1751C2×C4C24×D6714yes—
1752C2×C4C24×D6714yes—
1753C2×C4C24×D6714yes—
1754C2×C4C24×D6711yescharacteristic
1755C2×C4C24×D6711yescharacteristic
1756C2×C4C24×D6714yes—
1757C2×C4C24×D6712yes—
1758C22—22no—
1759C22—24no—
1760C22—24no—
1761C22—24no—
1762C22—2684no—
1763C22—1341no—
1764C22—1341no—
1765C22—1344no—
1766C22—1344no—
1767C22—1344no—
1768C22—1342no—
1769C22—1342no—
1770C222−1+4×D6712yes—
1771C22C25×D6711yescharacteristic
1772C4—21no—
1773C4—21no—
1774C4—24no—
1775C4—22no—
1776C4—24no—
1777C4—24no—
1778C4—24no—
1779C4—22no—
1780C4—24no—
1781C4—672no—
1782C4—672no—
1783C4—674no—
1784C4—1344no—
1785C4—1344no—
1786C4—1344no—
1787C4—1344no—
1788C4—1344no—
1789C4—1342no—
1790C2—22no—
1791C2—44no—
1792C2—2681no—
1793C2—2681no—
1794C2—2684no—
1795C2C2×2−1+4×D6711yescharacteristic
1796C2#585×D6712yes—
subgroupG/H
center, FrattiniC22C25×D67
commutator, socle, cosocleC22×C67C26
FittingC67×#3553C2
hypercenter#3553D67
hypocenterC67#62761
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C22 ◁ #3553

Complements

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

NH ≅ G/Ntype
1. #22574705C2semidirect
2. #22574703C2semidirect
3. #22574690C2semidirect
4. #22574673C2semidirect
5. #22574665C2semidirect
6. #22574662C2semidirect
7. #22574642C2semidirect
8. #22574619C2semidirect
9. #22574605C2semidirect
10. #22574495C2semidirect
11. #22574487C2semidirect
12. #22574357C2semidirect
13. #22574355C2semidirect
14. #22574353C2semidirect
15. #22573823C2semidirect
16. #22573803C2semidirect
17. #22573788C2semidirect
18. #22573641C2semidirect
19. #22573639C2semidirect
20. #22573595C2semidirect
21. #22573503C2semidirect
22. C2×#16863952C2semidirect
23. C67×#3553C2semidirect
24. C67⋊#564C22semidirect
25. C67⋊#564C22semidirect
27. #16864150C22semidirect
28. #16864150C22semidirect
29. #16864150C22semidirect
30. #16864149C22semidirect
32. #16864148C22semidirect
34. #16864147C22semidirect
35. #16864146C22semidirect
38. #16864144C22semidirect
42. #16864140C22semidirect
43. #16864130C22semidirect
44. #16864130C22semidirect
45. #16864129C22semidirect
46. #16864126C22semidirect
47. #16864124C22semidirect
48. #16864123C22semidirect
49. #16864123C22semidirect
50. #16864123C22semidirect
51. #16864123C22semidirect
53. #16864114C22semidirect
55. #16864113C22semidirect
56. #16864113C22semidirect
57. #16864113C22semidirect
61. #16864101C22semidirect
64. #16864100C22semidirect
65. #16864100C22semidirect
71. #16864085C22semidirect
73. #16864079C22semidirect
75. #16864078C22semidirect
76. #16864064C22semidirect
79. #16864059C22semidirect
80. #16864059C22semidirect
87. #16864044C22semidirect
88. #16864026C22semidirect
89. #16864025C22semidirect
97. #16864014C22semidirect
101. #16864012C22semidirect
106. #16864005C22semidirect
107. #16864005C22semidirect
108. #16864004C22semidirect
109. #16864003C22semidirect
110. #16864003C22semidirect
114. #16863994C22semidirect
120. #16863988C22semidirect
122. #16863987C22semidirect
130. #16863969C22semidirect
132. #16863968C22semidirect
142. #16863952C22semidirect
143. #16863952C22semidirect
144. #16863951C22semidirect
148. #16863948C22semidirect
149. #16863948C22semidirect
150. #16863948C22semidirect
161. #16863931C22semidirect
167. #16863929C22semidirect
168. #16863929C22semidirect
169. #16863927C22semidirect
175. #16863923C22semidirect
176. #16863923C22semidirect
185. #16863864C22semidirect
190. C4×#11761627C22semidirect
192. C2×#14524008C22semidirect
193. C4×Q8×D67C22semidirect
196. #564×C67C22semidirect
197. #563×C67C22semidirect
198. #562×C67C22semidirect
201. #552×C67C22semidirect
202. #541×C67C22semidirect
204. #539×C67C22semidirect
905. #3553D67semidirect
922. C67#62761semidirect
925. #564C2×D67semidirect
937. #563C2×D67semidirect
944. #562C2×D67semidirect
980. #552C2×D67semidirect
1016. #541C2×D67semidirect
1030. #539C2×D67semidirect

Maximal subgroups

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

subgroupindex
#225747052
#225747032
#225746902
#225746732
#225746652
#225746622
#225746422
#225746192
#225746052
#225744952
#225744872
#225743572
#225743552
#225743532
#225738232
#225738032
#225737882
#225736412
#225736392
#225735952
#225735032
C2×#168639522
C67×#35532
#6276167