Finite Group Databasebeta

← #31764432

Subgroups — #31764432

Order 17152.

7220 conjugacy classes of subgroups.

The subgroup lattice has 2042 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574320C211yesmaximal, characteristic, complemented
2#22574310C211yesmaximal, characteristic, complemented
3#22574299C211yesmaximal, characteristic, complemented
4#22574288C211yesmaximal, characteristic, complemented
5#22574279C213yesmaximal, complemented
6#22574265C213yesmaximal, complemented
7#22574248C213yesmaximal, complemented
8#22574231C213yesmaximal, complemented
9#22574220C211yesmaximal, characteristic, complemented
10#22574209C211yesmaximal, characteristic, complemented
11#22574204C211yesmaximal, characteristic, complemented
12#22574194C211yesmaximal, characteristic, complemented
13#22574177C213yesmaximal, complemented
14#22574160C213yesmaximal, complemented
15#22574151C213yesmaximal, complemented
16#22574137C213yesmaximal, complemented
17#22573802C213yesmaximal, complemented
18#41×Dic134C211yesmaximal, characteristic, complemented
19#22573773C213yesmaximal, complemented
20#22573763C213yesmaximal, complemented
21#22573763C213yesmaximal, complemented
22#41×D268C211yesmaximal, characteristic, complemented
23#41×C22⋊D67C211yesmaximal, characteristic, complemented
24#41×C22⋊D67C211yesmaximal, characteristic, complemented
25#22573599C213yesmaximal, complemented
26#22573594C213yesmaximal, complemented
27#22573502C213yesmaximal, complemented
28C2×#16863924C213yesmaximal, complemented
29#22573408C211yesmaximal, characteristic, complemented
30C4×#41×D67C211yesmaximal, characteristic, complemented
31C67×#3428C211yesmaximal, characteristic, complemented
32C2×#41×D67C2211yescharacteristic
33C2×#41×D67C2211yescharacteristic
34#16864131C2213yescomplemented
35#16864129C2213yescomplemented
36#16864129C2213yescomplemented
37Q8×Dic134C2211yescharacteristic, complemented
38#16864125C2211yescharacteristic, complemented
39#16864124C2213yescomplemented
40#16864122C2211yescharacteristic, complemented
41#16864122C2211yescharacteristic, complemented
42#16864119C2213yescomplemented
43#16864118C2213yescomplemented
44#16864118C2213yescomplemented
45#16864116C2213yescomplemented
46#16864114C2213yescomplemented
47#16864114C2213yescomplemented
48#16864111C2213yescomplemented
49#16864109C2213yescomplemented
50#16864109C2213yescomplemented
51#16864106C2213yescomplemented
52#16864105C2213yescomplemented
53#16864105C2213yescomplemented
54#16864103C2213yescomplemented
55#16864101C2213yescomplemented
56#16864101C2213yescomplemented
57#16864096C2213yescomplemented
58#16864096C2213yescomplemented
59#16864095C2216yescomplemented
60#16864095C2216yescomplemented
61#16864094C2213yescomplemented
62#16864094C2213yescomplemented
63#16864092C2216yescomplemented
64#16864090C2213yescomplemented
65#16864090C2213yescomplemented
66#16864087C2213yescomplemented
67#16864087C2213yescomplemented
68#16864086C2216yescomplemented
69#16864085C2213yescomplemented
70#16864085C2213yescomplemented
71#16864081C2213yescomplemented
72#16864081C2213yescomplemented
73#16864079C2216yescomplemented
74#16864079C2216yescomplemented
75#16864075C2216yescomplemented
76#16864075C2216yescomplemented
77#16864072C2216yescomplemented
78#16864072C2216yescomplemented
79#16864070C2216yescomplemented
80#16864070C2216yescomplemented
81#16864068C2211yescharacteristic, complemented
82#16864067C2213yescomplemented
83#16864065C2211yescharacteristic, complemented
84#16864065C2211yescharacteristic, complemented
85Q8×D268C2211yescharacteristic, complemented
86D4×Dic134C2213yescomplemented
87Q8×C22⋊D67C2211yescharacteristic, complemented
88Q8×C22⋊D67C2211yescharacteristic, complemented
89#16864058C2211yescharacteristic, complemented
90#16864058C2211yescharacteristic, complemented
91#16864057C2211yescharacteristic, complemented
92#16864057C2211yescharacteristic, complemented
93#16864055C2216yescomplemented
94#16864053C2211yescharacteristic, complemented
95#16864053C2211yescharacteristic, complemented
96#16864051C2213yescomplemented
97#16864050C2213yescomplemented
98#16864047C2213yescomplemented
99#16864047C2213yescomplemented
100#16864045C2213yescomplemented
101#16864045C2213yescomplemented
102#16864042C2216yescomplemented
103#16864041C2213yescomplemented
104#16864041C2213yescomplemented
105#16864040C2213yescomplemented
106#16864040C2213yescomplemented
107#16864036C2216yescomplemented
108#16864036C2216yescomplemented
109#16864034C2213yescomplemented
110#16864034C2213yescomplemented
111D4×D268C2213yescomplemented
112D4×C22⋊D67C2213yescomplemented
113D4×C22⋊D67C2213yescomplemented
114#16864018C2213yescomplemented
115#16864018C2213yescomplemented
116#16864017C2213yescomplemented
117#16864017C2213yescomplemented
118#16864017C2213yescomplemented
119#16864017C2213yescomplemented
120#16864011C2213yescomplemented
121#16864011C2213yescomplemented
122#16864008C2213yescomplemented
123#16864008C2213yescomplemented
124#16864004C2213yescomplemented
125#16864004C2213yescomplemented
126#16864001C2213yescomplemented
127#16864001C2213yescomplemented
128#16863997C2213yescomplemented
129#16863997C2213yescomplemented
130#16863993C2216yescomplemented
131#16863993C2216yescomplemented
132#16863988C2216yescomplemented
133#16863988C2216yescomplemented
134#16863984C2216yescomplemented
135#16863984C2216yescomplemented
136#16863979C2216yescomplemented
137#16863979C2216yescomplemented
138#16863953C2213yescomplemented
139#16863950C2213yescomplemented
140#16863950C2213yescomplemented
141#16863949C2213yescomplemented
142#16863949C2213yescomplemented
143#16863946C2213yescomplemented
144#16863943C2213yescomplemented
145#16863943C2213yescomplemented
146#16863942C2213yescomplemented
147#16863942C2213yescomplemented
148#16863933C2213yescomplemented
149#16863933C2213yescomplemented
150#16863930C2216yescomplemented
151#16863930C2216yescomplemented
152#16863928C2213yescomplemented
153#16863928C2213yescomplemented
154#16863926C2216yescomplemented
155#16863926C2216yescomplemented
156#16863924C2213yes—
157#16863924C2211yescharacteristic
158#16863924C2213yescomplemented
159#16863924C2216yescomplemented
160#16863924C2213yescomplemented
161#16863924C2216yescomplemented
162#16863924C2216yescomplemented
163#16863924C2213yescomplemented
164#16863924C2213yescomplemented
165#16863924C2213yescomplemented
166#16863924C2213yescomplemented
167#16863924C2213yescomplemented
168#16863924C2213yescomplemented
169#16863924C2213yescomplemented
170#16863924C2213yescomplemented
171#16863924C2213yescomplemented
172#16863924C2213yescomplemented
173#16863924C2213yescomplemented
174#16863924C2213yescomplemented
175C2×#14524038C2213yescomplemented
176C2×#14524036C2213yescomplemented
177C2×#14524033C2213yescomplemented
178C2×#14524029C2213yescomplemented
179#16863908C2213yescomplemented
180#16863908C2213yescomplemented
181#16863907C2213yescomplemented
182#16863907C2213yescomplemented
183#16863905C2216yescomplemented
184#16863905C2216yescomplemented
185#16863903C2213yescomplemented
186#16863903C2213yescomplemented
187C2×#14524028C2213yescomplemented
188C2×#14524025C2213yescomplemented
189C2×#14524021C2213yescomplemented
190C2×#14524016C2213yes—
191#16863878C2211yescharacteristic, complemented
192#16863878C2211yescharacteristic, complemented
193#16863875C2213yescomplemented
194#16863875C2213yescomplemented
195#16863872C2211yescharacteristic, complemented
196#16863872C2211yescharacteristic, complemented
197#16863868C2213yescomplemented
198#16863868C2213yescomplemented
199#41×Dic67C2211yescharacteristic
200#41×Dic67C2211yescharacteristic
201C4×#11761629C2211yescharacteristic, complemented
202C4×#11761629C2211yescharacteristic, complemented
203C4×#11761628C2213yescomplemented
204C4×#11761628C2213yescomplemented
205C4×#11761628C2216yescomplemented
206C4×#11761628C2216yescomplemented
207#16863864C2213yescomplemented
208#16863864C2213yescomplemented
209C4×#11761627C2213yescomplemented
210C4×#11761627C2213yescomplemented
211C2×C4×Dic134C2213yescomplemented
212C4×Q8×D67C2211yescharacteristic, complemented
213C4×Q8×D67C2211yescharacteristic, complemented
214C2×C4×D268C2213yescomplemented
215C2×C4×C22⋊D67C2213yescomplemented
216C2×C4×C22⋊D67C2213yescomplemented
217C4×D4×D67C2213yescomplemented
218C4×D4×D67C2213yescomplemented
219C2×#14524000C2213yescomplemented
220#117×D67C2213yescomplemented
221#117×D67C2213yescomplemented
222C2×C42×D67C2213yescomplemented
223C22×#41×C67C2211yescharacteristic
224#520×C67C2213yescomplemented
225#520×C67C2211yescharacteristic, complemented
226#520×C67C2213yescomplemented
227#520×C67C2211yescharacteristic, complemented
228#519×C67C2211yescharacteristic, complemented
229#519×C67C2211yescharacteristic, complemented
230#518×C67C2213yescomplemented
231#518×C67C2213yescomplemented
232C4×#41×C67C2211yescharacteristic
233C4×#41×C67C2211yescharacteristic
234C4×#41×C67C2213yescomplemented
235C4×#41×C67C2213yescomplemented
236C2×#117×C67C2213yescomplemented
237C2×#117×C67C2213yescomplemented
238C2×#11761629C2311yescharacteristic
239C2×#11761629C2311yescharacteristic
240C2×#11761628C2313yes—
241C2×#11761628C2313yes—
242C2×#11761628C2316yes—
243C2×#11761628C2316yes—
244C2×#11761627C2313yes—
245C2×#11761627C2313yes—
246#41×D67—28no—
247#41×D67—28no—
248C22×Dic134C2313yes—
249C2×Q8×D67C2311yescharacteristic
250C2×Q8×D67C2311yescharacteristic
251C22×D268C2313yes—
252C22×C22⋊D67C2313yes—
253C22×C22⋊D67C2313yes—
254C2×D4×D67C2313yes—
255C2×D4×D67C2313yes—
256C22×C4×D67C2313yes—
257C22×C4×D67C2313yes—
258C22×C4×D67C2313yes—
259C22×C4×D67C2313yes—
260#14524043C2313yes—
261#14524043C2313yes—
262#14524043C2313yes—
263#14524042C2313yes—
264#14524042C2313yes—
265#14524042C2313yes—
266#14524042C2313yes—
267#14524041C2313yes—
268#14524041C2313yes—
269#14524040C2313yes—
270#14524039C2313yes—
271#14524039C2313yes—
272#14524038C2313yes—
273#14524038C2316yes—
274#14524038C2313yes—
275#14524038C2316yes—
276#14524038C2316yes—
277#14524038C2313yes—
278#14524038C2313yes—
279#14524038C2313yes—
280#14524038C2313yes—
281#14524038C2311yescharacteristic
282#14524038C2313yes—
283#14524037C2316yes—
284#14524037C2316yes—
285#14524037C2316yes—
286#14524037C2316yes—
287#14524036C2313yes—
288#14524036C2316yes—
289#14524036C2316yes—
290#14524036C2316yes—
291#14524036C2313yes—
292#14524036C2313yes—
293#14524036C2313yes—
294#14524036C2313yes—
295#14524036C2313yes—
296#14524036C2311yescharacteristic
297#14524036C2313yes—
298#14524035C2313yes—
299#14524035C2313yes—
300#14524035C2316yes—
301#14524035C2316yes—
302#14524034C2313yes—
303#14524034C2313yes—
304#14524034C2313yes—
305#14524034C2313yes—
306#14524033C2313yes—
307#14524033C2316yes—
308#14524033C2313yes—
309#14524033C2316yes—
310#14524033C2316yes—
311#14524033C2313yes—
312#14524033C2313yes—
313#14524033C2313yes—
314#14524033C2313yes—
315#14524033C2311yescharacteristic
316#14524033C2313yes—
317#14524032C2313yes—
318#14524032C2313yes—
319#14524031C2313yes—
320#14524031C2313yes—
321#14524031C2316yes—
322#14524031C2316yes—
323#14524030C2313yes—
324#14524030C2313yes—
325#14524029C2313yes—
326#14524029C2316yes—
327#14524029C2313yes—
328#14524029C2316yes—
329#14524029C2316yes—
330#14524029C2313yes—
331#14524029C2313yes—
332#14524029C2313yes—
333#14524029C2313yes—
334#14524029C2311yescharacteristic
335#14524029C2313yes—
336#14524028C2313yes—
337#14524028C2316yes—
338#14524028C2316yes—
339#14524028C2316yes—
340#14524028C2313yes—
341#14524028C2313yes—
342#14524028C2313yes—
343#14524028C2313yes—
344#14524028C2313yes—
345#14524028C2311yescharacteristic
346#14524028C2313yes—
347#14524027C2316yes—
348#14524027C2316yes—
349#14524026C2316yes—
350#14524026C2316yes—
351#14524026C2316yes—
352#14524026C2316yes—
353#14524026C2316yes—
354#14524026C2316yes—
355#14524025C2313yes—
356#14524025C2316yes—
357#14524025C2316yes—
358#14524025C2316yes—
359#14524025C2313yes—
360#14524025C2313yes—
361#14524025C2313yes—
362#14524025C2313yes—
363#14524025C2311yescharacteristic
364#14524025C2313yes—
365#14524025C2313yes—
366#14524024C2316yes—
367#14524024C2316yes—
368#14524023C2313yes—
369#14524023C2313yes—
370#14524023C2313yes—
371#14524023C2313yes—
372#14524022C2313yes—
373#14524022C2313yes—
374#14524022C2313yes—
375#14524022C2313yes—
376#14524022C2316yes—
377#14524022C2316yes—
378#14524022C2316yes—
379#14524022C2316yes—
380#14524021C2313yes—
381#14524021C2316yes—
382#14524021C2316yes—
383#14524021C2316yes—
384#14524021C2313yes—
385#14524021C2313yes—
386#14524021C2313yes—
387#14524021C2313yes—
388#14524021C2313yes—
389#14524021C2311yescharacteristic
390#14524021C2313yes—
391#14524020C2316yes—
392#14524020C2316yes—
393#14524020C2316yes—
394#14524020C2316yes—
395#14524019C2313yes—
396#14524019C2313yes—
397#14524019C2313yes—
398#14524019C2313yes—
399#14524018C2313yes—
400#14524018C2313yes—
401#14524018C2313yes—
402#14524018C2313yes—
403#14524017C2313yes—
404#14524017C2313yes—
405#14524017C2313yes—
406#14524017C2313yes—
407#14524017C2316yes—
408#14524017C2316yes—
409#14524017C2316yes—
410#14524017C2316yes—
411#14524016C2313yes—
412#14524016C2316yes—
413#14524016C2316yes—
414#14524016C2316yes—
415#14524016C2313yes—
416#14524016C2313yes—
417#14524016C2313yes—
418#14524016C2313yes—
419#14524016C2311yescharacteristic
420#14524016C2313yes—
421#14524016C2313yes—
422#14524015C2316yes—
423#14524015C2316yes—
424#14524015C2316yes—
425#14524015C2316yes—
426#14524014C2313yes—
427#14524014C2313yes—
428#14524014C2313yes—
429#14524014C2313yes—
430#14524013C2316yes—
431#14524013C2316yes—
432#14524012C2316yes—
433#14524012C2316yes—
434#14524011C2316yes—
435#14524011C2316yes—
436Q8×Dic67C2311yescharacteristic
437Q8×Dic67C2311yescharacteristic
438Q8×Dic67C2311yescharacteristic
439Q8×Dic67C2311yescharacteristic
440C4×Dic134C2313yes—
441C4×Dic134C2313yes—
442C4×Dic134C2313yes—
443C4×Dic134C2313yes—
444C4×Dic134C2316yes—
445C4×Dic134C2313yes—
446C4×Dic134C2313yes—
447C4×Dic134C2316yes—
448C4×Dic134C2313yes—
449C4×Dic134C2313yes—
450C4×Dic134C2311yescharacteristic
451C4×Dic134C2313yes—
452C4×Dic134C2313yes—
453C4×Dic134C2313yes—
454C4×Dic134C2316yes—
455#14524008C2313yes—
456#14524008C2313yes—
457#14524008C2313yes—
458#14524008C2313yes—
459C4×D268C2313yes—
460C4×D268C2313yes—
461C4×D268C2313yes—
462C4×D268C2313yes—
463C4×D268C2313yes—
464C4×D268C2313yes—
465C4×D268C2313yes—
466C4×D268C2316yes—
467C4×D268C2313yes—
468C4×D268C2316yes—
469C4×D268C2311yescharacteristic
470C4×D268C2313yes—
471C4×D268C2313yes—
472C4×D268C2313yes—
473C4×D268C2316yes—
474D4×Dic67C2313yes—
475D4×Dic67C2313yes—
476D4×Dic67C2313yes—
477D4×Dic67C2313yes—
478#14524005C2313yes—
479#14524005C2313yes—
480#14524005C2313yes—
481#14524005C2313yes—
482C4×C22⋊D67C2313yes—
483C4×C22⋊D67C2313yes—
484C4×C22⋊D67C2313yes—
485C4×C22⋊D67C2313yes—
486C4×C22⋊D67C2316yes—
487C4×C22⋊D67C2316yes—
488C4×C22⋊D67C2313yes—
489C4×C22⋊D67C2313yes—
490C4×C22⋊D67C2313yes—
491C4×C22⋊D67C2313yes—
492C4×C22⋊D67C2316yes—
493C4×C22⋊D67C2316yes—
494C4×C22⋊D67C2316yes—
495C4×C22⋊D67C2316yes—
496C4×C22⋊D67C2311yescharacteristic
497C4×C22⋊D67C2311yescharacteristic
498C4×C22⋊D67C2313yes—
499C4×C22⋊D67C2313yes—
500C4×C22⋊D67C2313yes—
501C4×C22⋊D67C2313yes—
502C4×C22⋊D67C2313yes—
503C4×C22⋊D67C2313yes—
504C4×C22⋊D67C2316yes—
505C4×C22⋊D67C2316yes—
506C4×C22⋊D67C2316yes—
507C4×C22⋊D67C2316yes—
508(C22⋊D67)⋊C4C2316yes—
509(C22⋊D67)⋊C4C2316yes—
510(C22⋊D67)⋊C4C2316yes—
511(C22⋊D67)⋊C4C2316yes—
512#14524002C2316yes—
513#14524002C2316yes—
514#14524002C2313yes—
515#14524002C2313yes—
516#14524001C2313yes—
517#14524001C2313yes—
518#14524001C2313yes—
519#14524001C2313yes—
520#14524000C2313yes—
521#14524000C2313yes—
522#14524000C2313yes—
523#14524000C2313yes—
524#14524000C2316yes—
525#14524000C2316yes—
526#14524000C2316yes—
527#14524000C2316yes—
528#14524000C2313yes—
529#14524000C2316yes—
530#14524000C2311yescharacteristic
531#14524000C2313yes—
532#14524000C2313yes—
533#14523999C2316yes—
534#14523999C2316yes—
535C2×C4⋊Dic67C2313yes—
536C2×C4⋊Dic67C2313yes—
537C2×Dic67⋊C4C2313yes—
538C2×Dic67⋊C4C2313yes—
539C2×Dic67⋊C4C2313yes—
540C2×Dic67⋊C4C2313yes—
541C2×Dic67⋊C4C2313yes—
542C2×Dic67⋊C4C2313yes—
543C4⋊C4×D67C2313yes—
544C4⋊C4×D67C2313yes—
545C4⋊C4×D67C2313yes—
546C4⋊C4×D67C2313yes—
547C2×C22⋊Dic67C2313yes—
548C2×C22⋊Dic67C2313yes—
549C2×(C2×D67)⋊C4C2313yes—
550C2×(C2×D67)⋊C4C2313yes—
551C2×(C2×D67)⋊C4C2313yes—
552C2×(C2×D67)⋊C4C2313yes—
553C2×(C2×D67)⋊C4C2313yes—
554C2×(C2×D67)⋊C4C2313yes—
555C22⋊C4×D67C2316yes—
556C22⋊C4×D67C2316yes—
557C2×C4×Dic67C2313yes—
558C2×C4×Dic67C2313yes—
559C2×C4×Dic67C2313yes—
560C2×C4×Dic67C2313yes—
561C42×D67C2311yescharacteristic
562C42×D67C2313yes—
563C42×D67C2313yes—
564C42×D67C2313yes—
565C42×D67C2313yes—
566C42×D67C2313yes—
567C42×D67C2313yes—
568C42×D67C2313yes—
569C42×D67C2316yes—
570C2×#41×C67—28no—
571C2×#41×C67C2313yes—
572C2×#41×C67C2311yescharacteristic
573C2×#41×C67C2313yes—
574C2×#41×C67C2311yescharacteristic
575C22×Q8×C67C2311yescharacteristic
576C22×D4×C67C2313yes—
577C23×C4×C67C2313yes—
578C4×Q8×C67C2313yes—
579C4×Q8×C67C2313yes—
580C4×Q8×C67C2311yescharacteristic
581C4×Q8×C67C2311yescharacteristic
582C4×Q8×C67C2311yescharacteristic
583C4×Q8×C67C2311yescharacteristic
584C4×Q8×C67C2313yes—
585C4×Q8×C67C2313yes—
586C4×D4×C67C2313yes—
587C4×D4×C67C2313yes—
588C4×D4×C67C2313yes—
589C4×D4×C67C2313yes—
590C4×D4×C67C2316yes—
591C4×D4×C67C2313yes—
592C4×D4×C67C2316yes—
593C4×D4×C67C2313yes—
594C4×D4×C67C2313yes—
595C4×D4×C67C2313yes—
596C4×D4×C67C2316yes—
597C4×D4×C67C2316yes—
598#117×C67C2313yes—
599#117×C67C2313yes—
600#117×C67C2313yes—
601#117×C67C2313yes—
602#117×C67C2311yescharacteristic
603#117×C67C2313yes—
604#117×C67C2313yes—
605#117×C67C2313yes—
606#117×C67C2313yes—
607#117×C67C2313yes—
608#117×C67C2313yes—
609#117×C67C2313yes—
610#117×C67C2316yes—
611C2×C4⋊C4×C67C2313yes—
612C2×C4⋊C4×C67C2313yes—
613C2×C4⋊C4×C67C2313yes—
614C2×C4⋊C4×C67C2313yes—
615C2×C22⋊C4×C67C2316yes—
616C2×C22⋊C4×C67C2313yes—
617C2×C22⋊C4×C67C2313yes—
618C2×C42×C67C2313yes—
619C2×C42×C67C2313yes—
620C2×C42×C67C2316yes—
621C23×D67C2413yes—
622C23×D67C2413yes—
623#11761629—24no—
624#11761629—24no—
625#11761628—212no—
626#11761628—212no—
627#11761628—412no—
628#11761628—412no—
629#11761627—212no—
630#11761627—212no—
631C2×Dic134—46no—
632C2×Dic134C2413yes—
633C2×Dic134C2413yes—
634C2×Dic134C2413yes—
635C2×Dic134C2411yescharacteristic
636C2×Dic134C2413yes—
637C2×Dic134C2416yes—
638C2×Dic134C2413yes—
639Q8×D67—24no—
640Q8×D67—24no—
641C2×D268—46no—
642C2×D268C2413yes—
643C2×D268C2413yes—
644C2×D268C2413yes—
645C2×D268C2411yescharacteristic
646C2×D268C2413yes—
647C2×D268C2416yes—
648C2×D268C2413yes—
649C2×C22⋊D67—46no—
650C2×C22⋊D67—46no—
651C2×C22⋊D67C2416yes—
652C2×C22⋊D67C2416yes—
653C2×C22⋊D67C2413yes—
654C2×C22⋊D67C2413yes—
655C2×C22⋊D67C2411yescharacteristic
656C2×C22⋊D67C2411yescharacteristic
657C2×C22⋊D67C2413yes—
658C2×C22⋊D67C2416yes—
659C2×C22⋊D67C2416yes—
660C2×C22⋊D67C2413yes—
661C2×C22⋊D67C2413yes—
662C2×C22⋊D67C2413yes—
663D4×D67—212no—
664D4×D67—212no—
665C22×Dic67C2413yes—
666C22×Dic67C2413yes—
667C22×Dic67C2413yes—
668C22×Dic67C2413yes—
669C22×Dic67C2413yes—
670C22×Dic67C2413yes—
671C2×C4×D67—212no—
672C2×C4×D67—212no—
673C2×C4×D67—46no—
674C2×C4×D67—46no—
675C2×C4×D67C2411yescharacteristic
676C2×C4×D67C2411yescharacteristic
677C2×C4×D67C2411yescharacteristic
678C2×C4×D67C2413yes—
679C2×C4×D67C2413yes—
680C2×C4×D67C2413yes—
681C2×C4×D67C2413yes—
682C2×C4×D67C2413yes—
683C2×C4×D67C2413yes—
684C2×C4×D67C2413yes—
685C2×C4×D67C2411yescharacteristic
686C2×C4×D67C2413yes—
687C2×C4×D67C2413yes—
688C2×C4×D67C2413yes—
689C2×C4×D67C2413yes—
690C2×C4×D67C2413yes—
691C2×C4×D67C2416yes—
692C2×C4×D67C2416yes—
693C4⋊Dic67C2413yes—
694C4⋊Dic67C2413yes—
695C4⋊Dic67C2413yes—
696C4⋊Dic67C2413yes—
697C4⋊Dic67C2411yescharacteristic
698C4⋊Dic67C2411yescharacteristic
699C4⋊Dic67C2413yes—
700C4⋊Dic67C2413yes—
701C4⋊Dic67C2413yes—
702C4⋊Dic67C2413yes—
703C4⋊Dic67C2413yes—
704C4⋊Dic67C2413yes—
705C4⋊Dic67C2416yes—
706C4⋊Dic67C2416yes—
707Dic67⋊C4C2413yes—
708Dic67⋊C4C2413yes—
709Dic67⋊C4C2416yes—
710Dic67⋊C4C2416yes—
711Dic67⋊C4C2411yescharacteristic
712Dic67⋊C4C2411yescharacteristic
713Dic67⋊C4C2411yescharacteristic
714Dic67⋊C4C2411yescharacteristic
715Dic67⋊C4C2411yescharacteristic
716Dic67⋊C4C2411yescharacteristic
717Dic67⋊C4C2413yes—
718Dic67⋊C4C2413yes—
719Dic67⋊C4C2413yes—
720Dic67⋊C4C2413yes—
721Dic67⋊C4C2413yes—
722Dic67⋊C4C2413yes—
723Dic67⋊C4C2413yes—
724Dic67⋊C4C2413yes—
725Dic67⋊C4C2413yes—
726Dic67⋊C4C2413yes—
727Dic67⋊C4C2413yes—
728Dic67⋊C4C2413yes—
729Dic67⋊C4C2413yes—
730Dic67⋊C4C2413yes—
731Dic67⋊C4C2413yes—
732Dic67⋊C4C2413yes—
733Dic67⋊C4C2416yes—
734Dic67⋊C4C2416yes—
735Dic67⋊C4C2416yes—
736Dic67⋊C4C2416yes—
737C22⋊Dic67C2416yes—
738C22⋊Dic67C2416yes—
739C22⋊Dic67C2411yescharacteristic
740C22⋊Dic67C2411yescharacteristic
741C22⋊Dic67C2413yes—
742C22⋊Dic67C2413yes—
743C22⋊Dic67C2413yes—
744C22⋊Dic67C2413yes—
745C22⋊Dic67C2413yes—
746C22⋊Dic67C2413yes—
747C22⋊Dic67C2416yes—
748C22⋊Dic67C2416yes—
749(C2×D67)⋊C4C2413yes—
750(C2×D67)⋊C4C2413yes—
751(C2×D67)⋊C4C2416yes—
752(C2×D67)⋊C4C2416yes—
753(C2×D67)⋊C4C2411yescharacteristic
754(C2×D67)⋊C4C2411yescharacteristic
755(C2×D67)⋊C4C2411yescharacteristic
756(C2×D67)⋊C4C2411yescharacteristic
757(C2×D67)⋊C4C2411yescharacteristic
758(C2×D67)⋊C4C2411yescharacteristic
759(C2×D67)⋊C4C2413yes—
760(C2×D67)⋊C4C2413yes—
761(C2×D67)⋊C4C2413yes—
762(C2×D67)⋊C4C2413yes—
763(C2×D67)⋊C4C2413yes—
764(C2×D67)⋊C4C2413yes—
765(C2×D67)⋊C4C2413yes—
766(C2×D67)⋊C4C2413yes—
767(C2×D67)⋊C4C2413yes—
768(C2×D67)⋊C4C2413yes—
769(C2×D67)⋊C4C2413yes—
770(C2×D67)⋊C4C2413yes—
771(C2×D67)⋊C4C2413yes—
772(C2×D67)⋊C4C2413yes—
773(C2×D67)⋊C4C2413yes—
774(C2×D67)⋊C4C2413yes—
775(C2×D67)⋊C4C2416yes—
776(C2×D67)⋊C4C2416yes—
777(C2×D67)⋊C4C2416yes—
778(C2×D67)⋊C4C2416yes—
779C4×Dic67C2411yescharacteristic
780C4×Dic67C2411yescharacteristic
781C4×Dic67C2411yescharacteristic
782C4×Dic67C2413yes—
783C4×Dic67C2413yes—
784C4×Dic67C2413yes—
785C4×Dic67C2413yes—
786C4×Dic67C2413yes—
787C4×Dic67C2413yes—
788C4×Dic67C2413yes—
789C4×Dic67C2413yes—
790C4×Dic67C2413yes—
791C4×Dic67C2413yes—
792C4×Dic67C2416yes—
793C4×Dic67C2416yes—
794C4×Dic67C2411yescharacteristic
795C4×Dic67C2413yes—
796C4×Dic67C2413yes—
797C24×C67C2413yes—
798#41×C67—24no—
799#41×C67—212no—
800#41×C67—212no—
801#41×C67#4118yescomplemented
802C2×Q8×C67—24no—
803C2×Q8×C67C2413yes—
804C2×Q8×C67C2411yescharacteristic
805C2×D4×C67—212no—
806C2×D4×C67C2416yes—
807C2×D4×C67C2413yes—
808C2×D4×C67C2413yes—
809C22×C4×C67—212no—
810C22×C4×C67C2413yes—
811C22×C4×C67C2413yes—
812C22×C4×C67C2413yes—
813C22×C4×C67C2411yescharacteristic
814C22×C4×C67C2413yes—
815C22×C4×C67C2413yes—
816C22×C4×C67C2413yes—
817C22×C4×C67C2413yes—
818C22×C4×C67C2413yes—
819C22×C4×C67C2416yes—
820C22×C4×C67C2416yes—
821C22×C4×C67C2413yes—
822C4⋊C4×C67C2411yescharacteristic
823C4⋊C4×C67C2413yes—
824C4⋊C4×C67C2413yes—
825C4⋊C4×C67C2411yescharacteristic
826C4⋊C4×C67C2413yes—
827C4⋊C4×C67C2413yes—
828C4⋊C4×C67C2413yes—
829C4⋊C4×C67C2413yes—
830C4⋊C4×C67C2413yes—
831C4⋊C4×C67C2413yes—
832C4⋊C4×C67C2413yes—
833C4⋊C4×C67C2413yes—
834C22⋊C4×C67C2411yescharacteristic
835C22⋊C4×C67C2413yes—
836C22⋊C4×C67C2413yes—
837C22⋊C4×C67C2411yescharacteristic
838C22⋊C4×C67C2416yes—
839C22⋊C4×C67C2416yes—
840C22⋊C4×C67C2413yes—
841C22⋊C4×C67C2413yes—
842C22⋊C4×C67C2413yes—
843C22⋊C4×C67C2413yes—
844C42×C67C2411yescharacteristic
845C42×C67C2413yes—
846C42×C67C2411yescharacteristic
847C42×C67C2413yes—
848C42×C67C2413yes—
849C42×C67C2413yes—
850C42×C67C2416yes—
851C42×C67C2416yes—
852C42×C67C2413yes—
853C42×C67C2413yes—
854C23×C67—26no—
855C23×C67—43no—
856C23×C67—43no—
857C23×C67C2511yescharacteristic
858C23×C67C2513yes—
859C23×C67C2513yes—
860C22×D67—26no—
861C22×D67—26no—
862C22×D67—26no—
863C22×D67—43no—
864C22×D67—43no—
865C22×D67—43no—
866C22×D67C2511yescharacteristic
867C22×D67C2513yes—
868C22×D67C2513yes—
869C22×D67C2511yescharacteristic
870Q8×C67—26no—
871Q8×C67C2×#4114yes—
872D4×C67—212no—
873D4×C67—26no—
874D4×C67C2×#41112yes—
875C2×C4×C67—26no—
876C2×C4×C67—22no—
877C2×C4×C67—26no—
878C2×C4×C67—26no—
879C2×C4×C67—26no—
880C2×C4×C67—43no—
881C2×C4×C67—43no—
882C2×C4×C67—43no—
883C2×C4×C67—43no—
884C2×C4×C67—46no—
885C2×C4×C67—46no—
886C2×C4×C67C2×#41112yes—
887C2×C4×C67C2511yescharacteristic
888C2×C4×C67C2511yescharacteristic
889C2×C4×C67C2513yes—
890C2×C4×C67C2513yes—
891C2×C4×C67C2511yescharacteristic
892C2×C4×C67C2513yes—
893C2×C4×C67C2513yes—
894C2×C4×C67C2511yescharacteristic
895C2×C4×C67C2513yes—
896C2×C4×C67C2511yescharacteristic
897C2×C4×C67C2513yes—
898C2×C4×C67C2511yescharacteristic
899C22⋊D67—212no—
900C22⋊D67—212no—
901C22⋊D67—22no—
902C22⋊D67—26no—
903C22⋊D67—22no—
904C22⋊D67—26no—
905C22⋊D67—43no—
906C22⋊D67—43no—
907C22⋊D67—43no—
908C22⋊D67—43no—
909C22⋊D67—46no—
910C22⋊D67—46no—
911C2×Dic67—26no—
912C2×Dic67—26no—
913C2×Dic67—26no—
914C2×Dic67—43no—
915C2×Dic67—43no—
916C2×Dic67—43no—
917C2×Dic67C2511yescharacteristic
918C2×Dic67C2511yescharacteristic
919C2×Dic67C2511yescharacteristic
920C2×Dic67C2513yes—
921C2×Dic67C2513yes—
922C2×Dic67C2513yes—
923C2×Dic67C2513yes—
924C2×Dic67C2513yes—
925C2×Dic67C2513yes—
926C2×Dic67C2511yescharacteristic
927C2×Dic67C2511yescharacteristic
928C2×Dic67C2511yescharacteristic
929D268—22no—
930D268—26no—
931D268—26no—
932D268—26no—
933D268—43no—
934D268—43no—
935D268—46no—
936C4×D67—22no—
937C4×D67—26no—
938C4×D67—22no—
939C4×D67—22no—
940C4×D67—26no—
941C4×D67—26no—
942C4×D67—26no—
943C4×D67—26no—
944C4×D67—26no—
945C4×D67—26no—
946C4×D67—22no—
947C4×D67—26no—
948C4×D67—43no—
949C4×D67—43no—
950C4×D67—43no—
951C4×D67—43no—
952C4×D67—46no—
953C4×D67—46no—
954Dic134—26no—
955Dic134—26no—
956Dic134—22no—
957Dic134—26no—
958Dic134—43no—
959Dic134—43no—
960Dic134—46no—
961C22×C67—23no—
962C22×C67—23no—
963C22×C67—21no—
964C22×C67—23no—
965C22×C67—23no—
966C22×C67—23no—
967C22×C67—21no—
968C22×C67—21no—
969C22×C67—86no—
970C22×C67C22×#4116yes—
971C22×C67C2611yescharacteristic
972C2×D67—21no—
973C2×D67—21no—
974C2×D67—21no—
975C2×D67—23no—
976C2×D67—23no—
977C2×D67—23no—
978C2×D67—23no—
979C2×D67—23no—
980C2×D67—23no—
981C2×D67—21no—
982C2×D67—21no—
983C2×D67—412no—
984C2×D67—86no—
985C2×D67#58512yes—
986C4×C67—21no—
987C4×C67—23no—
988C4×C67—21no—
989C4×C67—23no—
990C4×C67—23no—
991C4×C67—21no—
992C4×C67—23no—
993C4×C67—21no—
994C4×C67—23no—
995C4×C67—21no—
996C4×C67C22×#4116yes—
997C4×C67C22×#4112yes—
998Dic67—23no—
999Dic67—23no—
1000Dic67—21no—
1001Dic67—21no—
1002Dic67—21no—
1003Dic67—23no—
1004Dic67—23no—
1005Dic67—23no—
1006Dic67—23no—
1007Dic67—21no—
1008Dic67—21no—
1009Dic67#58512yes—
1010#62816—671nomaximal, Sylow
1011C2×C67—26no—
1012C2×C67—43no—
1013C2×C67—41no—
1014C2×C67C23×#4111yescharacteristic
1015C2×C67C2×#58511yescharacteristic
1016C2×C67C2×#58511yescharacteristic
1017D67—22no—
1018D67—43no—
1019D67—43no—
1020D67—41no—
1021#3524—671no—
1022#3524—671no—
1023#3523—671no—
1024#3522—671no—
1025#3521—673no—
1026#3521—673no—
1027#3520—673no—
1028#3519—673no—
1029#3518—671no—
1030#3517—671no—
1031#3516—671no—
1032#3516—671no—
1033#3515—673no—
1034#3514—673no—
1035#3513—673no—
1036#3513—673no—
1037#3480—673no—
1038Q8×#41—671no—
1039#3475—673no—
1040#3475—673no—
1041#3475—673no—
1042D4×#41—671no—
1043D4×#41—671no—
1044D4×#41—671no—
1045#3455—673no—
1046#3455—673no—
1047#3444—673no—
1048C2×#529—673no—
1049#3428—671no—
1050#3428D6711yescharacteristic, complemented
1051C2×C4×#41—671no—
1052C67#6281611yescharacteristic, complemented, Sylow
1053C22×#41—671no—
1054C22×#41—671no—
1055C22×#41C2×D6711yescharacteristic
1056#559—673no—
1057#559—673no—
1058#559—673no—
1059Q82—671no—
1060#557—671no—
1061#557—671no—
1062#557—673no—
1063#557—671no—
1064#556—673no—
1065#556—673no—
1066#556—673no—
1067#556—673no—
1068#556—673no—
1069#556—673no—
1070#555—673no—
1071#555—673no—
1072#555—673no—
1073#554—673no—
1074#554—673no—
1075#554—673no—
1076#554—673no—
1077#554—673no—
1078#554—673no—
1079#553—676no—
1080#553—676no—
1081#553—676no—
1082#553—673no—
1083#553—673no—
1084#553—673no—
1085#553—673no—
1086#553—673no—
1087#553—673no—
1088#552—673no—
1089#552—673no—
1090#552—676no—
1091#552—676no—
1092#552—676no—
1093#552—673no—
1094#552—673no—
1095#552—673no—
1096#552—673no—
1097#551—676no—
1098#551—676no—
1099#551—676no—
1100#551—676no—
1101#551—676no—
1102#551—676no—
1103#550—671no—
1104#550—671no—
1105#550—671no—
1106#550—673no—
1107D4×Q8—671no—
1108D4×Q8—671no—
1109D4×Q8—671no—
1110D4×Q8—673no—
1111#548—671no—
1112#548—671no—
1113#548—671no—
1114#548—671no—
1115#548—671no—
1116#548—671no—
1117#548—676no—
1118#547—673no—
1119#547—673no—
1120#547—673no—
1121#547—673no—
1122#547—673no—
1123#547—673no—
1124#546—673no—
1125#546—673no—
1126#546—673no—
1127#546—673no—
1128#546—673no—
1129#546—673no—
1130#546—676no—
1131#546—676no—
1132#546—676no—
1133D42—673no—
1134D42—673no—
1135D42—673no—
1136#542—673no—
1137#542—673no—
1138#542—673no—
1139#542—673no—
1140#542—673no—
1141#542—673no—
1142#542—673no—
1143#542—673no—
1144#541—673no—
1145#541—673no—
1146#541—673no—
1147#541—673no—
1148#540—673no—
1149#540—673no—
1150#540—673no—
1151#540—673no—
1152#539—676no—
1153#539—676no—
1154#539—676no—
1155#539—676no—
1156#538—676no—
1157#538—676no—
1158#538—676no—
1159#538—676no—
1160#533—673no—
1161#533—673no—
1162#533—673no—
1163#533—673no—
1164#533—673no—
1165#532—673no—
1166#532—673no—
1167#532—673no—
1168#532—673no—
1169#532—673no—
1170#529—673no—
1171#529—673no—
1172#529—676no—
1173#529—676no—
1174#529—673no—
1175#529—673no—
1176#529—671no—
1177#529—673no—
1178#529—673no—
1179#529—673no—
1180#529—673no—
1181#529—673no—
1182#529—673no—
1183#529—673no—
1184#529—673no—
1185#529—673no—
1186#529—673no—
1187#529—673no—
1188#529—673no—
1189#529—673no—
1190#529—673no—
1191#529—673no—
1192#529—676no—
1193#529—676no—
1194#529—676no—
1195#529—676no—
1196#529—676no—
1197C2×#126—673no—
1198C2×#126—673no—
1199C2×#125—673no—
1200C2×#124—673no—
1201#525—673no—
1202#525—673no—
1203#525—673no—
1204#525—673no—
1205#525—676no—
1206#525—676no—
1207#525—673no—
1208#525—673no—
1209C2×#123—673no—
1210C2×#123—673no—
1211C2×C22⋊Q8—673no—
1212C2×#121—673no—
1213#520—671no—
1214#520—671no—
1215#520—673no—
1216#520—673no—
1217#520C2×D6713yescomplemented
1218#520C2×D6711yescharacteristic, complemented
1219#520C2×D6713yescomplemented
1220#520C2×D6711yescharacteristic, complemented
1221#519—671no—
1222#519—671no—
1223#519C2×D6711yescharacteristic, complemented
1224#519C2×D6711yescharacteristic, complemented
1225#518—673no—
1226#518—673no—
1227#518C2×D6713yescomplemented
1228#518C2×D6713yescomplemented
1229C4×#41—671no—
1230C4×#41—671no—
1231C4×#41—671no—
1232C4×#41—671no—
1233C4×#41—673no—
1234C4×#41—673no—
1235C4×#41—673no—
1236C4×#41—673no—
1237C4×#41—673no—
1238C4×#41—673no—
1239C4×#41—676no—
1240C4×#41—676no—
1241C4×#41C2×D6711yescharacteristic
1242C4×#41C2×D6711yescharacteristic
1243C4×#41C2×D6713yescomplemented
1244C4×#41C2×D6713yescomplemented
1245C2×C4×Q8—671no—
1246C2×C4×Q8—671no—
1247C2×C4×Q8—673no—
1248C2×C4×D4—673no—
1249C2×C4×D4—673no—
1250C2×C4×D4—673no—
1251C2×C4×D4—673no—
1252C2×C4×D4—673no—
1253C2×#117—673no—
1254C2×#117—673no—
1255C2×#117—673no—
1256C2×#117C2×D6713yescomplemented
1257C2×#117C2×D6713yescomplemented
1258C22×C42—673no—
1259C2×#41—28no—
1260C2×#41—671no—
1261C2×#41—671no—
1262C2×#41—673no—
1263C2×#41—673no—
1264C2×#41—676no—
1265C2×#41—676no—
1266C2×#41—673no—
1267C2×#41—673no—
1268C2×#41—1348no—
1269C2×#41—1348no—
1270C2×#41C22×D6713yes—
1271C2×#41C22×D6713yes—
1272C2×#41C22×D6711yescharacteristic
1273C2×#41C22×D6711yescharacteristic
1274C22×Q8—671no—
1275C22×Q8—671no—
1276C22×Q8—673no—
1277C22×Q8C22×D6711yescharacteristic
1278C22×D4—673no—
1279C22×D4—673no—
1280C22×D4—673no—
1281C22×D4—673no—
1282C22×D4—673no—
1283C22×D4C22×D6713yes—
1284C23×C4—673no—
1285C23×C4—673no—
1286C23×C4—673no—
1287C23×C4—673no—
1288C23×C4C22×D6713yes—
1289C4⋊Q8—673no—
1290C4⋊Q8—673no—
1291C4⋊Q8—673no—
1292C4⋊Q8—673no—
1293C4⋊Q8—673no—
1294C4⋊Q8—673no—
1295C4⋊Q8—673no—
1296C4⋊Q8—673no—
1297C4⋊Q8—673no—
1298#127—673no—
1299#127—673no—
1300#127—673no—
1301#126—671no—
1302#126—673no—
1303#126—673no—
1304#126—673no—
1305#126—673no—
1306#126—673no—
1307#126—673no—
1308#126—673no—
1309#126—676no—
1310#126—676no—
1311#126—676no—
1312#126—671no—
1313#126—673no—
1314#126—673no—
1315#126—673no—
1316#126—673no—
1317#126—673no—
1318#126—673no—
1319#126—673no—
1320#126—676no—
1321#126—676no—
1322#126—676no—
1323#126—676no—
1324#126—676no—
1325#126—676no—
1326#126—676no—
1327#125—671no—
1328#125—673no—
1329#125—673no—
1330#125—673no—
1331#125—673no—
1332#125—673no—
1333#125—673no—
1334#125—673no—
1335#125—676no—
1336#125—673no—
1337#125—673no—
1338#125—676no—
1339#125—676no—
1340#125—673no—
1341#125—673no—
1342#125—676no—
1343#125—676no—
1344#125—673no—
1345#125—673no—
1346#124—673no—
1347#124—673no—
1348#124—673no—
1349#124—673no—
1350#124—671no—
1351#124—673no—
1352#124—673no—
1353#124—673no—
1354#124—673no—
1355#124—673no—
1356#124—673no—
1357#124—673no—
1358#124—676no—
1359#124—676no—
1360#124—676no—
1361#124—676no—
1362#124—676no—
1363#124—673no—
1364#124—673no—
1365#123—676no—
1366#123—676no—
1367#123—676no—
1368#123—676no—
1369#123—676no—
1370#123—676no—
1371#123—676no—
1372#123—676no—
1373#123—671no—
1374#123—673no—
1375#123—673no—
1376#123—673no—
1377#123—673no—
1378#123—673no—
1379#123—673no—
1380#123—673no—
1381#123—676no—
1382#123—676no—
1383#123—676no—
1384#123—671no—
1385#123—673no—
1386#123—673no—
1387#123—673no—
1388#123—673no—
1389#123—673no—
1390#123—673no—
1391#123—673no—
1392#123—676no—
1393#123—676no—
1394#123—676no—
1395#123—676no—
1396#123—676no—
1397C22⋊Q8—673no—
1398C22⋊Q8—673no—
1399C22⋊Q8—673no—
1400C22⋊Q8—673no—
1401C22⋊Q8—673no—
1402C22⋊Q8—673no—
1403C22⋊Q8—673no—
1404C22⋊Q8—673no—
1405C22⋊Q8—676no—
1406C22⋊Q8—676no—
1407C22⋊Q8—676no—
1408C22⋊Q8—676no—
1409C22⋊Q8—671no—
1410C22⋊Q8—673no—
1411C22⋊Q8—673no—
1412C22⋊Q8—673no—
1413C22⋊Q8—673no—
1414C22⋊Q8—673no—
1415C22⋊Q8—673no—
1416C22⋊Q8—673no—
1417C22⋊Q8—676no—
1418C22⋊Q8—673no—
1419C22⋊Q8—673no—
1420C22⋊Q8—673no—
1421C22⋊Q8—673no—
1422C22⋊Q8—676no—
1423C22⋊Q8—676no—
1424C22⋊Q8—676no—
1425C22⋊Q8—676no—
1426C22⋊Q8—676no—
1427C22⋊Q8—676no—
1428#121—673no—
1429#121—676no—
1430#121—676no—
1431#121—673no—
1432#121—673no—
1433#121—673no—
1434#121—676no—
1435#121—676no—
1436#121—673no—
1437#121—673no—
1438#121—673no—
1439#121—673no—
1440#121—676no—
1441#121—676no—
1442#121—676no—
1443#121—676no—
1444#121—673no—
1445#121—673no—
1446#121—673no—
1447#121—673no—
1448#121—671no—
1449#121—673no—
1450#121—673no—
1451#121—673no—
1452#121—673no—
1453#121—673no—
1454#121—673no—
1455#121—673no—
1456#121—676no—
1457#121—676no—
1458#121—676no—
1459#120—676no—
1460#120—676no—
1461#120—676no—
1462#120—676no—
1463#120—676no—
1464#120—676no—
1465C4×Q8—671no—
1466C4×Q8—671no—
1467C4×Q8—671no—
1468C4×Q8—671no—
1469C4×Q8—673no—
1470C4×Q8—673no—
1471C4×Q8—673no—
1472C4×Q8—673no—
1473C4×Q8—671no—
1474C4×Q8—673no—
1475C4×Q8—673no—
1476C4×Q8—673no—
1477C4×Q8—673no—
1478C4×Q8—673no—
1479C4×Q8—673no—
1480C4×Q8—673no—
1481C4×Q8—673no—
1482C4×Q8—673no—
1483C4×Q8—673no—
1484C4×Q8—673no—
1485C4×Q8—676no—
1486C4×Q8—676no—
1487C4×Q8—676no—
1488C4×Q8C22×D6711yescharacteristic
1489C4×Q8C22×D6711yescharacteristic
1490C4×Q8C22×D6711yescharacteristic
1491C4×Q8C22×D6711yescharacteristic
1492C4×Q8C22×D6713yes—
1493C4×Q8C22×D6713yes—
1494C4×Q8C22×D6713yes—
1495C4×Q8C22×D6713yes—
1496C4×D4—673no—
1497C4×D4—673no—
1498C4×D4—673no—
1499C4×D4—673no—
1500C4×D4—671no—
1501C4×D4—671no—
1502C4×D4—673no—
1503C4×D4—673no—
1504C4×D4—676no—
1505C4×D4—676no—
1506C4×D4—673no—
1507C4×D4—673no—
1508C4×D4—673no—
1509C4×D4—673no—
1510C4×D4—673no—
1511C4×D4—673no—
1512C4×D4—673no—
1513C4×D4—673no—
1514C4×D4—673no—
1515C4×D4—673no—
1516C4×D4—673no—
1517C4×D4—673no—
1518C4×D4—676no—
1519C4×D4—676no—
1520C4×D4—676no—
1521C4×D4—676no—
1522C4×D4—676no—
1523C4×D4—676no—
1524C4×D4—676no—
1525C4×D4—676no—
1526C4×D4—673no—
1527C4×D4—673no—
1528C4×D4—673no—
1529C4×D4—673no—
1530C4×D4—676no—
1531C4×D4—676no—
1532C4×D4—676no—
1533C4×D4—676no—
1534C4×D4—671no—
1535C4×D4—673no—
1536C4×D4—673no—
1537C4×D4—673no—
1538C4×D4—673no—
1539C4×D4—673no—
1540C4×D4—673no—
1541C4×D4—673no—
1542C4×D4—673no—
1543C4×D4—673no—
1544C4×D4—673no—
1545C4×D4—673no—
1546C4×D4—676no—
1547C4×D4—676no—
1548C4×D4—676no—
1549C4×D4C22×D6713yes—
1550C4×D4C22×D6713yes—
1551C4×D4C22×D6713yes—
1552C4×D4C22×D6713yes—
1553C4×D4C22×D6716yes—
1554C4×D4C22×D6716yes—
1555C4×D4C22×D6713yes—
1556C4×D4C22×D6713yes—
1557C4×D4C22×D6716yes—
1558C4×D4C22×D6713yes—
1559C4×D4C22×D6716yes—
1560C4×D4C22×D6713yes—
1561#117—673no—
1562#117—673no—
1563#117—676no—
1564#117—676no—
1565#117—673no—
1566#117—673no—
1567#117—673no—
1568#117—673no—
1569#117—676no—
1570#117—676no—
1571#117—671no—
1572#117—673no—
1573#117—673no—
1574#117—676no—
1575#117—673no—
1576#117—673no—
1577#117—673no—
1578#117—673no—
1579#117—673no—
1580#117—676no—
1581#117—676no—
1582#117—676no—
1583#117—676no—
1584#117C22×D6713yes—
1585#117C22×D6711yescharacteristic
1586#117C22×D6713yes—
1587#117C22×D6713yes—
1588#117C22×D6713yes—
1589#117C22×D6713yes—
1590#117C22×D6713yes—
1591#117C22×D6713yes—
1592#117C22×D6713yes—
1593#117C22×D6713yes—
1594#117C22×D6713yes—
1595#117C22×D6713yes—
1596#117C22×D6716yes—
1597C2×C4⋊C4—673no—
1598C2×C4⋊C4—673no—
1599C2×C4⋊C4—673no—
1600C2×C4⋊C4—673no—
1601C2×C4⋊C4—673no—
1602C2×C4⋊C4—673no—
1603C2×C4⋊C4—673no—
1604C2×C4⋊C4—673no—
1605C2×C4⋊C4—673no—
1606C2×C4⋊C4—673no—
1607C2×C4⋊C4—673no—
1608C2×C4⋊C4—673no—
1609C2×C4⋊C4C22×D6713yes—
1610C2×C4⋊C4C22×D6713yes—
1611C2×C4⋊C4C22×D6713yes—
1612C2×C4⋊C4C22×D6713yes—
1613C2×C22⋊C4—673no—
1614C2×C22⋊C4—673no—
1615C2×C22⋊C4—673no—
1616C2×C22⋊C4—673no—
1617C2×C22⋊C4—673no—
1618C2×C22⋊C4—673no—
1619C2×C22⋊C4—673no—
1620C2×C22⋊C4—673no—
1621C2×C22⋊C4—676no—
1622C2×C22⋊C4—676no—
1623C2×C22⋊C4C22×D6713yes—
1624C2×C22⋊C4C22×D6713yes—
1625C2×C22⋊C4C22×D6716yes—
1626C2×C42—673no—
1627C2×C42—673no—
1628C2×C42—673no—
1629C2×C42—673no—
1630C2×C42—673no—
1631C2×C42—676no—
1632C2×C42—673no—
1633C2×C42—673no—
1634C2×C42—673no—
1635C2×C42—673no—
1636C2×C42—673no—
1637C2×C42—673no—
1638C2×C42—671no—
1639C2×C42C22×D6713yes—
1640C2×C42C22×D6713yes—
1641C2×C42C22×D6716yes—
1642C24—673no—
1643C24—673no—
1644C24C23×D6713yes—
1645#41—24no—
1646#41—212no—
1647#41—212no—
1648#41—26812no—
1649#41—26812no—
1650#41—1344no—
1651#41—1344no—
1652#41—13412no—
1653#41—13412no—
1654#41—13412no—
1655#41—13412no—
1656#41#1176162818yescomplemented
1657C2×Q8—24no—
1658C2×Q8—2686no—
1659C2×Q8—673no—
1660C2×Q8—673no—
1661C2×Q8—676no—
1662C2×Q8—671no—
1663C2×Q8—673no—
1664C2×Q8—673no—
1665C2×Q8—673no—
1666C2×Q8—1344no—
1667C2×Q8—1344no—
1668C2×Q8C23×D6713yes—
1669C2×Q8C23×D6711yescharacteristic
1670C2×D4—212no—
1671C2×D4—2686no—
1672C2×D4—2686no—
1673C2×D4—2686no—
1674C2×D4—673no—
1675C2×D4—673no—
1676C2×D4—673no—
1677C2×D4—676no—
1678C2×D4—676no—
1679C2×D4—673no—
1680C2×D4—673no—
1681C2×D4—676no—
1682C2×D4—676no—
1683C2×D4—671no—
1684C2×D4—671no—
1685C2×D4—673no—
1686C2×D4—673no—
1687C2×D4—676no—
1688C2×D4—673no—
1689C2×D4—673no—
1690C2×D4—671no—
1691C2×D4—673no—
1692C2×D4—673no—
1693C2×D4—13412no—
1694C2×D4—13412no—
1695C2×D4C23×D6716yes—
1696C2×D4C23×D6713yes—
1697C2×D4C23×D6713yes—
1698C22×C4—212no—
1699C22×C4—2686no—
1700C22×C4—2686no—
1701C22×C4—673no—
1702C22×C4—673no—
1703C22×C4—673no—
1704C22×C4—673no—
1705C22×C4—673no—
1706C22×C4—673no—
1707C22×C4—673no—
1708C22×C4—676no—
1709C22×C4—676no—
1710C22×C4—673no—
1711C22×C4—673no—
1712C22×C4—673no—
1713C22×C4—671no—
1714C22×C4—671no—
1715C22×C4—673no—
1716C22×C4—673no—
1717C22×C4—673no—
1718C22×C4—673no—
1719C22×C4—673no—
1720C22×C4—673no—
1721C22×C4—671no—
1722C22×C4—673no—
1723C22×C4—673no—
1724C22×C4—671no—
1725C22×C4—13412no—
1726C22×C4—13412no—
1727C22×C4C23×D6713yes—
1728C22×C4C23×D6713yes—
1729C22×C4C23×D6713yes—
1730C22×C4C23×D6713yes—
1731C22×C4C23×D6711yescharacteristic
1732C22×C4C23×D6713yes—
1733C22×C4C23×D6713yes—
1734C22×C4C23×D6713yes—
1735C22×C4C23×D6713yes—
1736C22×C4C23×D6716yes—
1737C22×C4C23×D6716yes—
1738C22×C4C23×D6713yes—
1739C4⋊C4—671no—
1740C4⋊C4—673no—
1741C4⋊C4—673no—
1742C4⋊C4—671no—
1743C4⋊C4—671no—
1744C4⋊C4—671no—
1745C4⋊C4—671no—
1746C4⋊C4—671no—
1747C4⋊C4—671no—
1748C4⋊C4—671no—
1749C4⋊C4—673no—
1750C4⋊C4—673no—
1751C4⋊C4—673no—
1752C4⋊C4—673no—
1753C4⋊C4—673no—
1754C4⋊C4—673no—
1755C4⋊C4—673no—
1756C4⋊C4—673no—
1757C4⋊C4—673no—
1758C4⋊C4—673no—
1759C4⋊C4—673no—
1760C4⋊C4—676no—
1761C4⋊C4—676no—
1762C4⋊C4—673no—
1763C4⋊C4—673no—
1764C4⋊C4—673no—
1765C4⋊C4—673no—
1766C4⋊C4—673no—
1767C4⋊C4—673no—
1768C4⋊C4—673no—
1769C4⋊C4—673no—
1770C4⋊C4—673no—
1771C4⋊C4—673no—
1772C4⋊C4—673no—
1773C4⋊C4—673no—
1774C4⋊C4—673no—
1775C4⋊C4—673no—
1776C4⋊C4—673no—
1777C4⋊C4—676no—
1778C4⋊C4—676no—
1779C4⋊C4—676no—
1780C4⋊C4—676no—
1781C4⋊C4—676no—
1782C4⋊C4—676no—
1783C4⋊C4C23×D6713yes—
1784C4⋊C4C23×D6713yes—
1785C4⋊C4C23×D6711yescharacteristic
1786C4⋊C4C23×D6713yes—
1787C4⋊C4C23×D6713yes—
1788C4⋊C4C23×D6711yescharacteristic
1789C4⋊C4C23×D6713yes—
1790C4⋊C4C23×D6713yes—
1791C4⋊C4C23×D6713yes—
1792C4⋊C4C23×D6713yes—
1793C4⋊C4C23×D6713yes—
1794C4⋊C4C23×D6713yes—
1795C22⋊C4—671no—
1796C22⋊C4—671no—
1797C22⋊C4—676no—
1798C22⋊C4—676no—
1799C22⋊C4—673no—
1800C22⋊C4—673no—
1801C22⋊C4—673no—
1802C22⋊C4—673no—
1803C22⋊C4—673no—
1804C22⋊C4—673no—
1805C22⋊C4—676no—
1806C22⋊C4—676no—
1807C22⋊C4—671no—
1808C22⋊C4—673no—
1809C22⋊C4—673no—
1810C22⋊C4—671no—
1811C22⋊C4—671no—
1812C22⋊C4—671no—
1813C22⋊C4—671no—
1814C22⋊C4—671no—
1815C22⋊C4—673no—
1816C22⋊C4—673no—
1817C22⋊C4—673no—
1818C22⋊C4—673no—
1819C22⋊C4—673no—
1820C22⋊C4—673no—
1821C22⋊C4—673no—
1822C22⋊C4—676no—
1823C22⋊C4—676no—
1824C22⋊C4—673no—
1825C22⋊C4—673no—
1826C22⋊C4—673no—
1827C22⋊C4—673no—
1828C22⋊C4—673no—
1829C22⋊C4—673no—
1830C22⋊C4—673no—
1831C22⋊C4—673no—
1832C22⋊C4—673no—
1833C22⋊C4—676no—
1834C22⋊C4—676no—
1835C22⋊C4—676no—
1836C22⋊C4—676no—
1837C22⋊C4C23×D6716yes—
1838C22⋊C4C23×D6711yescharacteristic
1839C22⋊C4C23×D6713yes—
1840C22⋊C4C23×D6713yes—
1841C22⋊C4C23×D6711yescharacteristic
1842C22⋊C4C23×D6716yes—
1843C22⋊C4C23×D6713yes—
1844C22⋊C4C23×D6713yes—
1845C22⋊C4C23×D6713yes—
1846C22⋊C4C23×D6713yes—
1847C42—671no—
1848C42—671no—
1849C42—673no—
1850C42—673no—
1851C42—673no—
1852C42—673no—
1853C42—673no—
1854C42—673no—
1855C42—673no—
1856C42—673no—
1857C42—676no—
1858C42—676no—
1859C42—673no—
1860C42—673no—
1861C42—671no—
1862C42—671no—
1863C42—673no—
1864C42—673no—
1865C42C23×D6713yes—
1866C42C23×D6713yes—
1867C42C23×D6716yes—
1868C42C23×D6716yes—
1869C42C23×D6713yes—
1870C42C23×D6713yes—
1871C42C23×D6713yes—
1872C42C23×D6711yescharacteristic
1873C42C23×D6711yescharacteristic
1874C42C23×D6713yes—
1875C23—26no—
1876C23—43no—
1877C23—43no—
1878C23—2683no—
1879C23—2683no—
1880C23—2683no—
1881C23—671no—
1882C23—671no—
1883C23—673no—
1884C23—673no—
1885C23—1346no—
1886C23—1346no—
1887C23—1346no—
1888C23C24×D6711yescharacteristic
1889C23C24×D6713yes—
1890C23C24×D6713yes—
1891Q8—26no—
1892Q8—2683no—
1893Q8—2683no—
1894Q8—2686no—
1895Q8—1342no—
1896Q8—1346no—
1897Q8—1346no—
1898Q8—1346no—
1899Q8C2×#1176162814yes—
1900D4—212no—
1901D4—26no—
1902D4—2683no—
1903D4—2683no—
1904D4—2686no—
1905D4—2683no—
1906D4—2683no—
1907D4—2683no—
1908D4—2683no—
1909D4—2686no—
1910D4—2686no—
1911D4—1342no—
1912D4—1346no—
1913D4—1342no—
1914D4—1346no—
1915D4—1342no—
1916D4—1346no—
1917D4—13412no—
1918D4—13412no—
1919D4—1346no—
1920D4—1346no—
1921D4C2×#11761628112yes—
1922C2×C4—26no—
1923C2×C4—22no—
1924C2×C4—26no—
1925C2×C4—26no—
1926C2×C4—26no—
1927C2×C4—43no—
1928C2×C4—43no—
1929C2×C4—43no—
1930C2×C4—43no—
1931C2×C4—46no—
1932C2×C4—46no—
1933C2×C4—2683no—
1934C2×C4—2683no—
1935C2×C4—2683no—
1936C2×C4—2683no—
1937C2×C4—2686no—
1938C2×C4—2686no—
1939C2×C4—2683no—
1940C2×C4—2683no—
1941C2×C4—2683no—
1942C2×C4—671no—
1943C2×C4—671no—
1944C2×C4—671no—
1945C2×C4—671no—
1946C2×C4—673no—
1947C2×C4—673no—
1948C2×C4—673no—
1949C2×C4—673no—
1950C2×C4—673no—
1951C2×C4—673no—
1952C2×C4—671no—
1953C2×C4—671no—
1954C2×C4—1342no—
1955C2×C4—1346no—
1956C2×C4—1342no—
1957C2×C4—1346no—
1958C2×C4—1346no—
1959C2×C4—1346no—
1960C2×C4—1346no—
1961C2×C4—1342no—
1962C2×C4—1342no—
1963C2×C4—1346no—
1964C2×C4—1346no—
1965C2×C4—1346no—
1966C2×C4—1346no—
1967C2×C4—1346no—
1968C2×C4—1346no—
1969C2×C4C2×#11761628112yes—
1970C2×C4C24×D6711yescharacteristic
1971C2×C4C24×D6711yescharacteristic
1972C2×C4C24×D6713yes—
1973C2×C4C24×D6713yes—
1974C2×C4C24×D6711yescharacteristic
1975C2×C4C24×D6713yes—
1976C2×C4C24×D6713yes—
1977C2×C4C24×D6713yes—
1978C2×C4C24×D6711yescharacteristic
1979C2×C4C24×D6711yescharacteristic
1980C2×C4C24×D6713yes—
1981C2×C4C24×D6711yescharacteristic
1982C22—23no—
1983C22—23no—
1984C22—21no—
1985C22—23no—
1986C22—23no—
1987C22—23no—
1988C22—21no—
1989C22—21no—
1990C22—86no—
1991C22—26812no—
1992C22—5366no—
1993C22—672no—
1994C22—1341no—
1995C22—1343no—
1996C22—1343no—
1997C22—1343no—
1998C22—1343no—
1999C22—1343no—
2000C22—1343no—
2001C22—1341no—
2002C22—1341no—
2003C22—1341no—
2004C22—1341no—
2005C22C22×#1176162816yes—
2006C22C25×D6711yescharacteristic
2007C4—21no—
2008C4—23no—
2009C4—21no—
2010C4—23no—
2011C4—21no—
2012C4—23no—
2013C4—21no—
2014C4—23no—
2015C4—23no—
2016C4—21no—
2017C4—672no—
2018C4—1341no—
2019C4—1341no—
2020C4—1343no—
2021C4—1343no—
2022C4—1341no—
2023C4—1341no—
2024C4—1343no—
2025C4—1343no—
2026C4—1341no—
2027C4—1343no—
2028C4—1343no—
2029C4C22×#1176162812yes—
2030C4C22×#1176162816yes—
2031C2—26no—
2032C2—41no—
2033C2—43no—
2034C2—2683no—
2035C2—2681no—
2036C2—2683no—
2037C2—1342no—
2038C2C23×#1176162811yescharacteristic
2039C2#585×D6711yescharacteristic
2040C2#585×D6711yescharacteristic
subgroupG/H
centerC2×C4C24×D67
commutator, socle, cosocleC22×C67C26
FrattiniC22C25×D67
FittingC67×#3428C2
hypercenter#3428D67
hypocenterC67#62816
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C2×C4 ◁ #3428

Complements

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

NH ≅ G/Ntype
1. #22574320C2semidirect
2. #22574310C2semidirect
3. #22574299C2semidirect
4. #22574288C2semidirect
5. #22574279C2semidirect
6. #22574265C2semidirect
7. #22574248C2semidirect
8. #22574231C2semidirect
9. #22574220C2semidirect
10. #22574209C2semidirect
11. #22574204C2semidirect
12. #22574194C2semidirect
13. #22574177C2semidirect
14. #22574160C2semidirect
15. #22574151C2semidirect
16. #22574137C2semidirect
17. #22573802C2semidirect
18. #41×Dic134C2semidirect
19. #22573773C2semidirect
20. #22573763C2semidirect
21. #22573763C2semidirect
22. #41×D268C2semidirect
23. #41×C22⋊D67C2semidirect
24. #41×C22⋊D67C2semidirect
25. #22573599C2semidirect
26. #22573594C2semidirect
27. #22573502C2semidirect
28. C2×#16863924C2semidirect
29. #22573408C2semidirect
30. C4×#41×D67C2semidirect
31. C67×#3428C2semidirect
34. #16864131C22semidirect
35. #16864129C22semidirect
36. #16864129C22semidirect
37. Q8×Dic134C22semidirect
38. #16864125C22semidirect
39. #16864124C22semidirect
40. #16864122C22semidirect
41. #16864122C22semidirect
42. #16864119C22semidirect
43. #16864118C22semidirect
44. #16864118C22semidirect
45. #16864116C22semidirect
46. #16864114C22semidirect
47. #16864114C22semidirect
48. #16864111C22semidirect
49. #16864109C22semidirect
50. #16864109C22semidirect
51. #16864106C22semidirect
52. #16864105C22semidirect
53. #16864105C22semidirect
54. #16864103C22semidirect
55. #16864101C22semidirect
56. #16864101C22semidirect
57. #16864096C22semidirect
58. #16864096C22semidirect
59. #16864095C22semidirect
60. #16864095C22semidirect
61. #16864094C22semidirect
62. #16864094C22semidirect
63. #16864092C22semidirect
64. #16864090C22semidirect
65. #16864090C22semidirect
66. #16864087C22semidirect
67. #16864087C22semidirect
68. #16864086C22semidirect
69. #16864085C22semidirect
70. #16864085C22semidirect
71. #16864081C22semidirect
72. #16864081C22semidirect
73. #16864079C22semidirect
74. #16864079C22semidirect
75. #16864075C22semidirect
76. #16864075C22semidirect
77. #16864072C22semidirect
78. #16864072C22semidirect
79. #16864070C22semidirect
80. #16864070C22semidirect
81. #16864068C22semidirect
82. #16864067C22semidirect
83. #16864065C22semidirect
84. #16864065C22semidirect
85. Q8×D268C22semidirect
86. D4×Dic134C22semidirect
87. Q8×C22⋊D67C22semidirect
88. Q8×C22⋊D67C22semidirect
89. #16864058C22semidirect
90. #16864058C22semidirect
91. #16864057C22semidirect
92. #16864057C22semidirect
93. #16864055C22semidirect
94. #16864053C22semidirect
95. #16864053C22semidirect
96. #16864051C22semidirect
97. #16864050C22semidirect
98. #16864047C22semidirect
99. #16864047C22semidirect
100. #16864045C22semidirect
101. #16864045C22semidirect
102. #16864042C22semidirect
103. #16864041C22semidirect
104. #16864041C22semidirect
105. #16864040C22semidirect
106. #16864040C22semidirect
107. #16864036C22semidirect
108. #16864036C22semidirect
109. #16864034C22semidirect
110. #16864034C22semidirect
111. D4×D268C22semidirect
112. D4×C22⋊D67C22semidirect
113. D4×C22⋊D67C22semidirect
114. #16864018C22semidirect
115. #16864018C22semidirect
116. #16864017C22semidirect
117. #16864017C22semidirect
118. #16864017C22semidirect
119. #16864017C22semidirect
120. #16864011C22semidirect
121. #16864011C22semidirect
122. #16864008C22semidirect
123. #16864008C22semidirect
124. #16864004C22semidirect
125. #16864004C22semidirect
126. #16864001C22semidirect
127. #16864001C22semidirect
128. #16863997C22semidirect
129. #16863997C22semidirect
130. #16863993C22semidirect
131. #16863993C22semidirect
132. #16863988C22semidirect
133. #16863988C22semidirect
134. #16863984C22semidirect
135. #16863984C22semidirect
136. #16863979C22semidirect
137. #16863979C22semidirect
138. #16863953C22semidirect
139. #16863950C22semidirect
140. #16863950C22semidirect
141. #16863949C22semidirect
142. #16863949C22semidirect
143. #16863946C22semidirect
144. #16863943C22semidirect
145. #16863943C22semidirect
146. #16863942C22semidirect
147. #16863942C22semidirect
148. #16863933C22semidirect
149. #16863933C22semidirect
150. #16863930C22semidirect
151. #16863930C22semidirect
152. #16863928C22semidirect
153. #16863928C22semidirect
154. #16863926C22semidirect
155. #16863926C22semidirect
158. #16863924C22semidirect
159. #16863924C22semidirect
160. #16863924C22semidirect
161. #16863924C22semidirect
162. #16863924C22semidirect
163. #16863924C22semidirect
164. #16863924C22semidirect
165. #16863924C22semidirect
166. #16863924C22semidirect
167. #16863924C22semidirect
168. #16863924C22semidirect
169. #16863924C22semidirect
170. #16863924C22semidirect
171. #16863924C22semidirect
172. #16863924C22semidirect
173. #16863924C22semidirect
174. #16863924C22semidirect
175. C2×#14524038C22semidirect
176. C2×#14524036C22semidirect
177. C2×#14524033C22semidirect
178. C2×#14524029C22semidirect
179. #16863908C22semidirect
180. #16863908C22semidirect
181. #16863907C22semidirect
182. #16863907C22semidirect
183. #16863905C22semidirect
184. #16863905C22semidirect
185. #16863903C22semidirect
186. #16863903C22semidirect
187. C2×#14524028C22semidirect
188. C2×#14524025C22semidirect
189. C2×#14524021C22semidirect
191. #16863878C22semidirect
192. #16863878C22semidirect
193. #16863875C22semidirect
194. #16863875C22semidirect
195. #16863872C22semidirect
196. #16863872C22semidirect
197. #16863868C22semidirect
198. #16863868C22semidirect
201. C4×#11761629C22semidirect
202. C4×#11761629C22semidirect
203. C4×#11761628C22semidirect
204. C4×#11761628C22semidirect
205. C4×#11761628C22semidirect
206. C4×#11761628C22semidirect
207. #16863864C22semidirect
208. #16863864C22semidirect
209. C4×#11761627C22semidirect
210. C4×#11761627C22semidirect
211. C2×C4×Dic134C22semidirect
212. C4×Q8×D67C22semidirect
213. C4×Q8×D67C22semidirect
214. C2×C4×D268C22semidirect
215. C2×C4×C22⋊D67C22semidirect
216. C2×C4×C22⋊D67C22semidirect
217. C4×D4×D67C22semidirect
218. C4×D4×D67C22semidirect
219. C2×#14524000C22semidirect
220. #117×D67C22semidirect
221. #117×D67C22semidirect
222. C2×C42×D67C22semidirect
224. #520×C67C22semidirect
225. #520×C67C22semidirect
226. #520×C67C22semidirect
227. #520×C67C22semidirect
228. #519×C67C22semidirect
229. #519×C67C22semidirect
230. #518×C67C22semidirect
231. #518×C67C22semidirect
234. C4×#41×C67C22semidirect
235. C4×#41×C67C22semidirect
236. C2×#117×C67C22semidirect
237. C2×#117×C67C22semidirect
801. #41×C67#41semidirect
1050. #3428D67semidirect
1052. C67#62816semidirect
1217. #520C2×D67semidirect
1218. #520C2×D67semidirect
1219. #520C2×D67semidirect
1220. #520C2×D67semidirect
1223. #519C2×D67semidirect
1224. #519C2×D67semidirect
1227. #518C2×D67semidirect
1228. #518C2×D67semidirect
1243. C4×#41C2×D67semidirect
1244. C4×#41C2×D67semidirect
1256. C2×#117C2×D67semidirect
1257. C2×#117C2×D67semidirect
1656. #41#11761628semidirect

Maximal subgroups

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

subgroupindex
#225743202
#225743102
#225742992
#225742882
#225742792
#225742652
#225742482
#225742312
#225742202
#225742092
#225742042
#225741942
#225741772
#225741602
#225741512
#225741372
#225738022
#41×Dic1342
#225737732
#225737632
#41×D2682
#41×C22⋊D672
#225735992
#225735942
#225735022
C2×#168639242
#225734082
C4×#41×D672
C67×#34282
#6281667