Finite Group Databasebeta

← #33993802

Subgroups — #33993802

Order 18688.

7270 conjugacy classes of subgroups.

The subgroup lattice has 1558 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624350C214yesmaximal, complemented
2#22624343C211yesmaximal, characteristic, complemented
3#22624333C211yesmaximal, characteristic, complemented
4#22624324C212yesmaximal, complemented
5#22624309C214yesmaximal, complemented
6#22624292C214yesmaximal, complemented
7#22624280C214yesmaximal, complemented
8#22624271C212yesmaximal, complemented
9#22624264C211yesmaximal, characteristic, complemented
10#22624252C214yesmaximal, complemented
11#22624233C214yesmaximal, complemented
12#22624066C214yesmaximal, complemented
13#22623554C212yesmaximal, complemented
14#22623540C211yesmaximal, characteristic, complemented
15#22623532C211yesmaximal, characteristic, complemented
16#22623482C214yesmaximal, complemented
17D4×#11924027C214yesmaximal, complemented
18#22623346C214yesmaximal, complemented
19#22623344C214yesmaximal, complemented
20#22623257C214yesmaximal, complemented
21#22623225C212yesmaximal, complemented
22C2×#17989135C211yesmaximal, characteristic, complemented
23C73×#3543C211yesmaximal, characteristic, complemented
24C22×#11924027C2212yescomplemented
25C22×#11924027C2214yescomplemented
26#17989340C2214yescomplemented
27#17989339C2218yescomplemented
28#17989334C2218yescomplemented
29#17989332C2218yescomplemented
30#17989332C2218yescomplemented
31#17989330C2214yescomplemented
32#17989326C2218yescomplemented
33#17989325C2218yescomplemented
34#17989324C2214yescomplemented
35#17989323C2211yescharacteristic, complemented
36Q8×Dic146C2212yescomplemented
37#17989306C2214yescomplemented
38#17989302C2212yescomplemented
39#17989302C2214yescomplemented
40#17989301C2218yescomplemented
41#17989301C2214yescomplemented
42#17989301C2214yescomplemented
43#17989297C2212yescomplemented
44#17989296C2214yescomplemented
45#17989294C2212yescomplemented
46#17989289C2214yescomplemented
47#17989287C2214yescomplemented
48#17989280C2218yescomplemented
49#17989279C2214yescomplemented
50#17989277C2214yescomplemented
51#17989274C2218yescomplemented
52#17989268C2214yescomplemented
53#17989268C2218yescomplemented
54#17989265C2214yescomplemented
55#17989263C2218yescomplemented
56#17989257C2212yescomplemented
57#17989257C2214yescomplemented
58#17989257C2214yescomplemented
59#17989256C2214yescomplemented
60D4×Dic146C2214yescomplemented
61#17989243C2218yescomplemented
62#17989241C2214yescomplemented
63#17989237C2214yescomplemented
64#17989237C2214yescomplemented
65#17989236C2214yescomplemented
66#17989231C2214yescomplemented
67#17989231C2218yescomplemented
68#17989231C2214yescomplemented
69#17989230C2214yescomplemented
70#17989224C2218yescomplemented
71#17989224C2218yescomplemented
72#17989222C2211yescharacteristic, complemented
73D4×C22⋊D73C2214yescomplemented
74D4×C22⋊D73C2214yescomplemented
75#17989217C2214yescomplemented
76#17989215C2214yescomplemented
77#17989208C2214yescomplemented
78#17989206C2214yescomplemented
79#17989206C2214yescomplemented
80#17989205C2218yescomplemented
81#17989204C2218yescomplemented
82#17989202C2214yescomplemented
83#17989191C2214yescomplemented
84#17989191C2214yescomplemented
85#17989190C2218yescomplemented
86#17989188C2214yescomplemented
87#17989187C2218yescomplemented
88#17989173C2218yescomplemented
89#17989172C2218yescomplemented
90#17989172C2218yescomplemented
91#17989169C2218yescomplemented
92#17989166C2214yescomplemented
93#17989165C2214yescomplemented
94#17989164C2218yescomplemented
95#17989164C2218yescomplemented
96#17989159C2218yescomplemented
97#17989159C2214yescomplemented
98#17989159C2214yescomplemented
99#17989154C2214yescomplemented
100#17989153C2214yescomplemented
101#17989152C2214yescomplemented
102#17989152C2214yescomplemented
103#17989152C2218yescomplemented
104#17989150C2214yescomplemented
105#17989149C2214yescomplemented
106#17989146C2214yescomplemented
107#17989146C2214yescomplemented
108#17989143C2212yescomplemented
109#17989141C2212yescomplemented
110#17989139C2212yescomplemented
111#17989136C2212yescomplemented
112#17989135C2211yescharacteristic
113#17989135C2211yescharacteristic
114#17989135C2214yescomplemented
115#17989135C2211yescharacteristic, complemented
116#17989135C2214yescomplemented
117#17989135C2212yescomplemented
118#17989135C2211yescharacteristic, complemented
119#17989135C2212yescomplemented
120#17989135C2214yescomplemented
121#17989134C2212yescomplemented
122#17989132C2212yes—
123#17989132C2218yescomplemented
124#17989132C2218yescomplemented
125#17989132C2214yescomplemented
126C2×#14556591C2211yescharacteristic, complemented
127#17989122C2212yescomplemented
128#17989121C2212yescomplemented
129#17989120C2214yescomplemented
130#17989120C2214yescomplemented
131#17989118C2214yescomplemented
132#17989118C2218yescomplemented
133#17989116C2214yescomplemented
134#17989116C2212yescomplemented
135#17989115C2214yescomplemented
136#17989114C2214yescomplemented
137#17989114C2218yescomplemented
138C2×#14556578C2212yescomplemented
139#17989100C2212yescomplemented
140#17989097C2218yescomplemented
141#17989097C2212yescomplemented
142#17989096C2214yescomplemented
143#17989095C2214yescomplemented
144#17989095C2214yescomplemented
145#17989095C2214yescomplemented
146#17989093C2214yescomplemented
147#17989093C2214yescomplemented
148#17989093C2218yescomplemented
149#17989093C2218yescomplemented
150C2×#14556562C2214yescomplemented
151#41×Dic73C2214yescomplemented
152C4×#11924029C2212yescomplemented
153#17989055C2214yescomplemented
154C4×#11924027C2212yescomplemented
155C4×#11924027C2214yescomplemented
156C4×#11924027C2214yescomplemented
157C2×D4×Dic73C2214yescomplemented
158C2×D4×Dic73C2214yescomplemented
159C4×D4×D73C2214yescomplemented
160C2×#14556547C2214yescomplemented
161C2×C42×D73C2211yescharacteristic, complemented
162#560×C73C2214yescomplemented
163#559×C73C2211yescharacteristic, complemented
164#550×C73C2212yescomplemented
165#546×C73C2214yescomplemented
166D42×C73C2211yescharacteristic, complemented
167D42×C73C2214yescomplemented
168#540×C73C2214yescomplemented
169#535×C73C2214yescomplemented
170#534×C73C2214yescomplemented
171C2×#127×C73C2211yescharacteristic
172#529×C73C2212yescomplemented
173C2×#11924029C2312yes—
174C2×#11924028C2314yes—
175C2×#11924027—48no—
176C2×#11924027—416no—
177C2×#11924027C2314yes—
178C2×#11924027C2312yes—
179C2×#11924027C2318yes—
180C2×#11924027C2314yes—
181C2×#11924027C2312yes—
182C2×#11924027C2312yes—
183C2×#11924027C2314yes—
184C2×#11924027C2312yes—
185C2×#11924027C2312yes—
186C2×#11924027C2314yes—
187C2×#11924027C2318yes—
188C2×#11924027C2318yes—
189C22×Dic146C2312yes—
190C22×Dic146C2314yes—
191C22×C22⋊D73C2314yes—
192C22×C22⋊D73C2314yes—
193C22×C22⋊D73C2314yes—
194C2×D4×D73C2314yes—
195C23×Dic73C2314yes—
196C23×Dic73C2314yes—
197C22×C4×D73C2311yescharacteristic
198C22×C4×D73C2314yes—
199C22×C4×D73C2312yes—
200#14556591C2311yescharacteristic
201#14556591C2311yescharacteristic
202#14556591C2314yes—
203#14556591C2312yes—
204#14556591C2314yes—
205#14556590C2312yes—
206#14556590C2318yes—
207#14556590C2318yes—
208#14556590C2314yes—
209#14556590C2312yes—
210#14556589C2312yes—
211#14556587C2312yes—
212#14556587C2314yes—
213#14556587C2318yes—
214#14556587C2318yes—
215#14556586C2314yes—
216#14556586C2318yes—
217#14556585C2314yes—
218#14556584C2318yes—
219#14556584C2314yes—
220#14556584C2318yes—
221#14556584C2318yes—
222#14556584C2318yes—
223#14556584C2318yes—
224#14556583C2312yes—
225#14556583C2314yes—
226#14556582C2314yes—
227#14556582C2318yes—
228#14556581C2314yes—
229#14556581C2314yes—
230#14556581C2318yes—
231#14556579C2312yes—
232#14556578C2312yes—
233#14556578C2312yes—
234#14556578C2318yes—
235#14556578C2312yes—
236#14556578C2312yes—
237#14556578C2318yes—
238#14556578C2314yes—
239#14556578C2318yes—
240#14556577C2314yes—
241#14556577C2314yes—
242#14556577C2318yes—
243#14556577C2318yes—
244#14556577C2318yes—
245#14556577C2318yes—
246#14556577C2318yes—
247#14556577C2318yes—
248#14556576C2314yes—
249#14556576C2314yes—
250#14556575C2314yes—
251#14556575C2318yes—
252#14556575C2314yes—
253#14556575C2318yes—
254#14556574C2314yes—
255#14556574C2314yes—
256#14556574C2314yes—
257#14556574C2318yes—
258#14556573C2314yes—
259#14556573C2314yes—
260#14556573C2318yes—
261#14556573C2318yes—
262#14556573C2318yes—
263#14556572C2314yes—
264#14556572C2318yes—
265#14556572C2314yes—
266#14556572C2318yes—
267#14556572C2318yes—
268#14556572C2318yes—
269#14556572C2318yes—
270#14556571C2312yes—
271#14556571C2318yes—
272#14556570C2312yes—
273#14556570C2318yes—
274#14556570C2314yes—
275#14556570C2318yes—
276#14556569C2314yes—
277#14556569C2314yes—
278#14556569C2314yes—
279#14556569C2318yes—
280#14556569C2318yes—
281#14556568C2314yes—
282#14556568C2318yes—
283#14556568C2318yes—
284#14556568C2318yes—
285#14556568C2318yes—
286#14556568C2318yes—
287#14556568C2318yes—
288#14556568C2318yes—
289#14556567C2312yes—
290#14556567C2314yes—
291#14556566C2312yes—
292#14556565C2312yes—
293#14556565C2318yes—
294#14556565C2318yes—
295#14556565C2314yes—
296#14556564C2314yes—
297#14556564C2314yes—
298#14556564C2314yes—
299#14556564C2318yes—
300#14556564C2318yes—
301#14556563C2314yes—
302#14556563C2318yes—
303#14556563C2318yes—
304#14556563C2318yes—
305#14556563C2318yes—
306#14556563C2318yes—
307#14556563C2318yes—
308#14556563C2318yes—
309#14556563C2318yes—
310#14556563C2318yes—
311#14556563C2318yes—
312#14556563C2318yes—
313#14556563C2318yes—
314#14556562C2312yes—
315#14556562C2314yes—
316#14556562C2314yes—
317#14556562C2314yes—
318#14556562C2318yes—
319#14556562C2314yes—
320#14556562C2318yes—
321#14556562C2314yes—
322#14556562C2314yes—
323#14556562C2318yes—
324#14556562C2314yes—
325#14556562C2318yes—
326#14556561C2314yes—
327#14556561C2314yes—
328#14556561C2314yes—
329#14556560C2314yes—
330#14556560C2318yes—
331#14556560C2314yes—
332#14556560C2318yes—
333#14556559C2314yes—
334#14556559C2314yes—
335#14556559C2314yes—
336#14556559C2318yes—
337#14556559C2318yes—
338Q8×Dic73C2312yes—
339Q8×Dic73C2314yes—
340C4×Dic146C2312yes—
341C4×Dic146C2314yes—
342C4×Dic146C2314yes—
343#14556556C2314yes—
344#14556556C2314yes—
345#14556556C2312yes—
346#14556556C2314yes—
347C4×D292C2312yes—
348C4×D292C2314yes—
349C4×D292C2314yes—
350D4×Dic73C2312yes—
351D4×Dic73C2314yes—
352D4×Dic73C2318yes—
353D4×Dic73C2318yes—
354D4×Dic73C2314yes—
355D4×Dic73C2314yes—
356D4×Dic73C2318yes—
357D4×Dic73C2314yes—
358D4×Dic73C2318yes—
359D4×Dic73C2318yes—
360D4×Dic73C2318yes—
361D4×Dic73C2314yes—
362D4×Dic73C2314yes—
363D4×Dic73C2314yes—
364D4×Dic73C2314yes—
365#14556553C2314yes—
366#14556553C2314yes—
367#14556553C2312yes—
368#14556553C2314yes—
369C4×C22⋊D73C2314yes—
370C4×C22⋊D73C2314yes—
371C4×C22⋊D73C2318yes—
372C4×C22⋊D73C2318yes—
373C4×C22⋊D73C2314yes—
374#14556551C2314yes—
375#14556551C2314yes—
376#14556551C2314yes—
377#14556551C2314yes—
378#14556551C2318yes—
379#14556551C2314yes—
380#14556551C2318yes—
381#14556551C2314yes—
382#14556551C2314yes—
383#14556550C2314yes—
384#14556550C2318yes—
385#14556549C2314yes—
386#14556549C2314yes—
387#14556549C2312yes—
388#14556549C2312yes—
389#14556549C2314yes—
390#14556548C2314yes—
391#14556548C2314yes—
392#14556547C2314yes—
393#14556547C2314yes—
394#14556547C2314yes—
395#14556547C2318yes—
396#14556547C2314yes—
397#14556547C2314yes—
398#14556547C2318yes—
399#14556547C2314yes—
400#14556547C2314yes—
401C2×C4⋊Dic73C2314yes—
402C2×C4⋊Dic73C2314yes—
403C2×#11924007C2318yes—
404C4⋊C4×D73C2314yes—
405C2×C22⋊Dic73C2314yes—
406C2×C22⋊Dic73C2318yes—
407C2×C22⋊Dic73C2318yes—
408C22⋊C4×D73C2318yes—
409C2×C4×Dic73C2312yes—
410C2×C4×Dic73C2318yes—
411C2×C4×Dic73C2314yes—
412C2×C4×Dic73C2311yescharacteristic
413C42×D73C2311yescharacteristic
414C42×D73C2311yescharacteristic
415C42×D73C2312yes—
416C42×D73C2311yescharacteristic
417C42×D73C2311yescharacteristic
418C42×D73C2312yes—
419C42×D73C2314yes—
420C2×#41×C73C2314yes—
421C22×D4×C73C2312yes—
422C22×D4×C73C2314yes—
423C22×D4×C73C2314yes—
424C22×D4×C73C2314yes—
425#127×C73C2311yescharacteristic
426#127×C73C2314yes—
427#127×C73C2311yescharacteristic
428#127×C73C2312yes—
429#127×C73C2314yes—
430#126×C73C2314yes—
431#125×C73C2312yes—
432#124×C73C2312yes—
433#124×C73C2314yes—
434#123×C73C2314yes—
435#123×C73C2314yes—
436#123×C73C2314yes—
437#123×C73C2318yes—
438C22⋊Q8×C73C2312yes—
439#121×C73C2312yes—
440#121×C73C2318yes—
441#121×C73C2318yes—
442#121×C73C2314yes—
443#121×C73C2314yes—
444#121×C73C2318yes—
445#121×C73C2318yes—
446#120×C73C2314yes—
447#120×C73C2318yes—
448#120×C73C2314yes—
449#120×C73C2318yes—
450C4×Q8×C73C2312yes—
451C4×D4×C73C2312yes—
452C4×D4×C73C2314yes—
453C4×D4×C73C2314yes—
454C4×D4×C73C2314yes—
455#117×C73C2314yes—
456C2×C22⋊C4×C73C2314yes—
457C2×C42×C73C2311yescharacteristic
458C23×D73C2411yescharacteristic
459C23×D73C2414yes—
460#11924029—44no—
461#11924028—48no—
462#11924027—216no—
463#11924027—44no—
464#11924027—48no—
465#11924027—416no—
466#11924027—44no—
467#11924027—48no—
468#11924027—44no—
469#11924027—48no—
470#11924027—44no—
471#11924027—44no—
472#11924027—416no—
473#11924027—416no—
474C2×Dic146—48no—
475C2×Dic146—44no—
476C2×Dic146C2412yes—
477C2×Dic146C2414yes—
478C2×Dic146C2414yes—
479C2×Dic146C2412yes—
480C2×Dic146C2414yes—
481C2×Dic146C2418yes—
482C2×Dic146C2412yes—
483C2×D292C2412yes—
484C2×D292C2414yes—
485C2×D292C2414yes—
486C2×C22⋊D73—48no—
487C2×C22⋊D73—48no—
488C2×C22⋊D73—48no—
489C2×C22⋊D73C2414yes—
490C2×C22⋊D73C2414yes—
491C2×C22⋊D73C2414yes—
492C2×C22⋊D73C2414yes—
493C2×C22⋊D73C2418yes—
494C2×C22⋊D73C2418yes—
495C2×C22⋊D73C2414yes—
496C2×C22⋊D73C2418yes—
497C2×C22⋊D73C2418yes—
498C2×C22⋊D73C2414yes—
499C2×C22⋊D73C2414yes—
500C2×C22⋊D73C2414yes—
501C2×C22⋊D73C2414yes—
502D4×D73—48no—
503C22×Dic73—216no—
504C22×Dic73—48no—
505C22×Dic73C2414yes—
506C22×Dic73C2414yes—
507C22×Dic73C2414yes—
508C22×Dic73C2414yes—
509C22×Dic73C2414yes—
510C22×Dic73C2414yes—
511C22×Dic73C2412yes—
512C22×Dic73C2414yes—
513C22×Dic73C2418yes—
514C22×Dic73C2418yes—
515C22×Dic73C2414yes—
516C22×Dic73C2411yescharacteristic
517C2×C4×D73—24no—
518C2×C4×D73—48no—
519C2×C4×D73—44no—
520C2×C4×D73C2412yes—
521C2×C4×D73C2412yes—
522C2×C4×D73C2411yescharacteristic
523C2×C4×D73C2411yescharacteristic
524C2×C4×D73C2411yescharacteristic
525C2×C4×D73C2411yescharacteristic
526C2×C4×D73C2414yes—
527C2×C4×D73C2414yes—
528C2×C4×D73C2412yes—
529C2×C4×D73C2412yes—
530C2×C4×D73C2414yes—
531C2×C4×D73C2418yes—
532C4⋊Dic73C2414yes—
533C4⋊Dic73C2412yes—
534C4⋊Dic73C2414yes—
535C4⋊Dic73C2418yes—
536C4⋊Dic73C2418yes—
537C4⋊Dic73C2412yes—
538C4⋊Dic73C2414yes—
539C4⋊Dic73C2414yes—
540C4⋊Dic73C2418yes—
541#11924007C2418yes—
542#11924007C2414yes—
543#11924007C2414yes—
544#11924007C2418yes—
545#11924007C2418yes—
546#11924007C2414yes—
547#11924007C2414yes—
548#11924007C2414yes—
549#11924007C2418yes—
550#11924007C2414yes—
551#11924007C2414yes—
552#11924007C2414yes—
553#11924007C2414yes—
554#11924007C2414yes—
555C22⋊Dic73C2418yes—
556C22⋊Dic73C2414yes—
557C22⋊Dic73C2414yes—
558C22⋊Dic73C2414yes—
559C22⋊Dic73C2414yes—
560C22⋊Dic73C2418yes—
561C22⋊Dic73C2418yes—
562C22⋊Dic73C2418yes—
563C22⋊Dic73C2418yes—
564C22⋊Dic73C2418yes—
565C22⋊Dic73C2414yes—
566C22⋊Dic73C2418yes—
567C22⋊Dic73C2418yes—
568#11924005C2414yes—
569#11924005C2418yes—
570#11924005C2414yes—
571#11924005C2414yes—
572#11924005C2414yes—
573#11924005C2414yes—
574#11924005C2414yes—
575#11924005C2414yes—
576#11924005C2418yes—
577#11924005C2414yes—
578#11924005C2414yes—
579#11924005C2414yes—
580C4×Dic73C2412yes—
581C4×Dic73C2411yescharacteristic
582C4×Dic73C2412yes—
583C4×Dic73C2412yes—
584C4×Dic73C2412yes—
585C4×Dic73C2412yes—
586C4×Dic73C2411yescharacteristic
587C4×Dic73C2414yes—
588C4×Dic73C2414yes—
589C4×Dic73C2414yes—
590C4×Dic73C2418yes—
591C4×Dic73C2418yes—
592C4×Dic73C2414yes—
593C4×Dic73C2414yes—
594C24×C73C2414yes—
595C24×C73C2414yes—
596#41×C73—48no—
597C2×Q8×C73C2412yes—
598C2×D4×C73—48no—
599C2×D4×C73—48no—
600C2×D4×C73—44no—
601C2×D4×C73—48no—
602C2×D4×C73C2414yes—
603C2×D4×C73C2414yes—
604C2×D4×C73C2412yes—
605C2×D4×C73C2414yes—
606C2×D4×C73C2418yes—
607C2×D4×C73C2418yes—
608C2×D4×C73C2412yes—
609C2×D4×C73C2418yes—
610C2×D4×C73C2418yes—
611C2×D4×C73C2414yes—
612C2×D4×C73C2412yes—
613C22×C4×C73C2412yes—
614C22×C4×C73C2411yescharacteristic
615C22×C4×C73C2414yes—
616C22×C4×C73C2418yes—
617C22×C4×C73C2414yes—
618C4⋊C4×C73C2414yes—
619C4⋊C4×C73C2414yes—
620C4⋊C4×C73C2412yes—
621C4⋊C4×C73C2412yes—
622C4⋊C4×C73C2414yes—
623C4⋊C4×C73C2414yes—
624C22⋊C4×C73C2414yes—
625C22⋊C4×C73C2414yes—
626C22⋊C4×C73C2414yes—
627C22⋊C4×C73C2414yes—
628C22⋊C4×C73C2414yes—
629C22⋊C4×C73C2414yes—
630C22⋊C4×C73C2414yes—
631C22⋊C4×C73C2418yes—
632C22⋊C4×C73C2418yes—
633C42×C73C2412yes—
634C42×C73C2411yescharacteristic
635C42×C73C2411yescharacteristic
636C42×C73C2414yes—
637C23×C73—28no—
638C23×C73—48no—
639C23×C73—48no—
640C23×C73—44no—
641C23×C73C2514yes—
642C23×C73C2514yes—
643C23×C73C2514yes—
644C23×C73C2511yescharacteristic
645C22×D73—22no—
646C22×D73—42no—
647C22×D73—44no—
648C22×D73—48no—
649C22×D73C2514yes—
650C22×D73C2511yescharacteristic
651C22×D73C2511yescharacteristic
652Q8×C73—24no—
653D4×C73—28no—
654D4×C73—28no—
655D4×C73—24no—
656D4×C73—28no—
657D4×C73—48no—
658D4×C73—48no—
659D4×C73—48no—
660D4×C73—42no—
661D4×C73—44no—
662D4×C73—42no—
663D4×C73—48no—
664C2×C4×C73—22no—
665C2×C4×C73—24no—
666C2×C4×C73—28no—
667C2×C4×C73—44no—
668C2×C4×C73—48no—
669C2×C4×C73C2512yes—
670C2×C4×C73C2511yescharacteristic
671C2×C4×C73C2511yescharacteristic
672C2×C4×C73C2514yes—
673C2×C4×C73C2514yes—
674C2×C4×C73C2514yes—
675C2×C4×C73C2512yes—
676C22⋊D73—28no—
677C22⋊D73—28no—
678C22⋊D73—48no—
679C22⋊D73—48no—
680C22⋊D73—44no—
681C22⋊D73—44no—
682C22⋊D73—48no—
683C22⋊D73—44no—
684C22⋊D73—44no—
685C22⋊D73—44no—
686C22⋊D73—48no—
687C22⋊D73—44no—
688C22⋊D73—44no—
689C2×Dic73—28no—
690C2×Dic73—28no—
691C2×Dic73—28no—
692C2×Dic73—28no—
693C2×Dic73—28no—
694C2×Dic73—28no—
695C2×Dic73—42no—
696C2×Dic73—44no—
697C2×Dic73—48no—
698C2×Dic73—48no—
699C2×Dic73—44no—
700C2×Dic73H(5,𝔽2)14yes—
701C2×Dic73C2512yes—
702C2×Dic73C2514yes—
703C2×Dic73C2512yes—
704C2×Dic73C2514yes—
705C2×Dic73C2514yes—
706C2×Dic73C2514yes—
707C2×Dic73C2514yes—
708C2×Dic73C2511yescharacteristic
709C2×Dic73C2511yescharacteristic
710D292—24no—
711D292—44no—
712D292—44no—
713C4×D73—24no—
714C4×D73—24no—
715C4×D73—28no—
716C4×D73—22no—
717C4×D73—22no—
718C4×D73—22no—
719C4×D73—22no—
720C4×D73—28no—
721C4×D73—42no—
722C4×D73—42no—
723C4×D73—48no—
724C4×D73—44no—
725Dic146—24no—
726Dic146—28no—
727Dic146—48no—
728Dic146—42no—
729Dic146—44no—
730Dic146—42no—
731Dic146—44no—
732C22×C73—22no—
733C22×C73—24no—
734C22×C73—24no—
735C22×C73—24no—
736C22×C73—28no—
737C22×C73—24no—
738C22×C73—24no—
739C22×C73—28no—
740C22×C73—88no—
741C22×C73—88no—
742C22×C73C2×H(5,𝔽2)12yes—
743C22×C73C2611yescharacteristic
744C2×D73—21no—
745C2×D73—21no—
746C2×D73—24no—
747C2×D73—22no—
748C2×D73—22no—
749C2×D73—24no—
750C2×D73—24no—
751C2×D73—44no—
752C2×D73—88no—
753C4×C73—24no—
754C4×C73—21no—
755C4×C73—21no—
756C4×C73—24no—
757C4×C73—22no—
758C4×C73—24no—
759C4×C73#58514yes—
760Dic73—24no—
761Dic73—24no—
762Dic73—24no—
763Dic73—24no—
764Dic73—22no—
765Dic73—24no—
766Dic73—22no—
767Dic73C2×H(5,𝔽2)12yes—
768Dic73C2×H(5,𝔽2)12yes—
769#62759—731nomaximal, Sylow
770C2×C73—22no—
771C2×C73—44no—
772C2×C73—44no—
773C2×C73—44no—
774C2×C73C22×H(5,𝔽2)11yescharacteristic
775C2×C73C2×#58512yes—
776D73—41no—
777D73—41no—
778D73—44no—
779#3551—734no—
780#3550—731no—
781#3549—731no—
782#3548—732no—
783#3547—734no—
784#3546—734no—
785#3545—734no—
786#3544—732no—
787#3543—731no—
788#3543D7311yescharacteristic, complemented
789#3542—734no—
790#3542—734no—
791#3529—734no—
792#3483—732no—
793#3481—731no—
794#3481—731no—
795#3475—734no—
796D4×#41—734no—
797#3460—734no—
798#3460—734no—
799#3449—734no—
800#3444—732no—
801C2×#532—731no—
802C73#6275911yescharacteristic, complemented, Sylow
803C22×#41—732no—
804C22×#41—734no—
805#563—738no—
806#563—734no—
807#562—738no—
808#562—738no—
809#562—738no—
810H(3,𝔽4)—734no—
811#560—734no—
812#560—738no—
813#560—738no—
814#560C2×D7314yescomplemented
815#559—731no—
816#559C2×D7311yescharacteristic, complemented
817Q82—732no—
818#556—734no—
819#555—734no—
820#555—734no—
821#555—738no—
822#555—734no—
823#555—732no—
824#554—732no—
825#554—734no—
826#554—732no—
827#553—738no—
828#553—734no—
829#553—734no—
830#552—738no—
831#552—734no—
832#552—734no—
833#551—734no—
834#551—738no—
835#551—734no—
836#551—738no—
837#550—734no—
838#550—734no—
839#550—734no—
840#550—732no—
841#550C2×D7312yescomplemented
842D4×Q8—734no—
843#548—738no—
844#547—734no—
845#547—734no—
846#547—734no—
847#547—734no—
848#546—738no—
849#546—734no—
850#546—734no—
851#546—734no—
852#546—738no—
853#546—738no—
854#546C2×D7314yescomplemented
855D42—734no—
856D42—734no—
857D42—731no—
858D42C2×D7314yescomplemented
859D42C2×D7311yescharacteristic, complemented
860#544—734no—
861#544—734no—
862#542—734no—
863#542—734no—
864#542—738no—
865#542—738no—
866#542—734no—
867#542—734no—
868#540—734no—
869#540—734no—
870#540—738no—
871#540—738no—
872#540—734no—
873#540C2×D7314yescomplemented
874#538—738no—
875#538—738no—
876#538—738no—
877#538—738no—
878#537—734no—
879#537—738no—
880#537—738no—
881#537—734no—
882#536—738no—
883#536—734no—
884#536—734no—
885#535—734no—
886#535—734no—
887#535—734no—
888#535—738no—
889#535—734no—
890#535—734no—
891#535C2×D7314yescomplemented
892#534—734no—
893#534—734no—
894#534—734no—
895#534C2×D7314yescomplemented
896#533—732no—
897#533—732no—
898#533—732no—
899#532—731no—
900#532—731no—
901#532—734no—
902#532—731no—
903#532—732no—
904#532—734no—
905#532—731no—
906#532—732no—
907#532—734no—
908#532—732no—
909#532—732no—
910#532—738no—
911#532—738no—
912#532—734no—
913#532—732no—
914C2×C4⋊Q8—731no—
915C2×#127C2×D7311yescharacteristic
916#529—734no—
917#529—734no—
918#529—732no—
919#529—732no—
920#529—734no—
921#529—734no—
922#529—738no—
923#529—734no—
924#529—738no—
925#529—734no—
926#529—732no—
927#529C2×D7312yescomplemented
928C2×#124—732no—
929#525—734no—
930#525—734no—
931#525—734no—
932#525—732no—
933#525—732no—
934#525—738no—
935#525—734no—
936#525—738no—
937#525—734no—
938#525—738no—
939#525—734no—
940C2×#121—734no—
941C4×#41—734no—
942C4×#41—732no—
943C4×#41—734no—
944C4×#41—732no—
945C4×#41—734no—
946C4×#41—734no—
947C2×C4×D4—734no—
948C2×C4×D4—734no—
949C2×C4×D4—734no—
950C2×#117—734no—
951C22×C42—731no—
952C2×#41—29216no—
953C2×#41—2928no—
954C2×#41—732no—
955C2×#41—732no—
956C2×#41—734no—
957C2×#41—732no—
958C2×#41—738no—
959C2×#41—734no—
960C2×#41—732no—
961C2×#41—732no—
962C2×#41—734no—
963C2×#41—732no—
964C2×#41—738no—
965C2×#41—738no—
966C2×#41—734no—
967C2×#41—734no—
968C2×#41C22×D7314yes—
969C22×Q8—732no—
970C22×Q8—734no—
971C22×D4—734no—
972C22×D4—734no—
973C22×D4—734no—
974C22×D4—734no—
975C22×D4C22×D7314yes—
976C22×D4C22×D7314yes—
977C22×D4C22×D7312yes—
978C22×D4C22×D7314yes—
979C23×C4—734no—
980C23×C4—734no—
981C23×C4—732no—
982C23×C4—734no—
983C23×C4—731no—
984C4⋊Q8—732no—
985C4⋊Q8—732no—
986C4⋊Q8—732no—
987C4⋊Q8—738no—
988C4⋊Q8—738no—
989C4⋊Q8—734no—
990C4⋊Q8—734no—
991C4⋊Q8—731no—
992C4⋊Q8—731no—
993C4⋊Q8—732no—
994C4⋊Q8—734no—
995#127—732no—
996#127—738no—
997#127—738no—
998#127—734no—
999#127C22×D7314yes—
1000#127C22×D7311yescharacteristic
1001#127C22×D7311yescharacteristic
1002#127C22×D7312yes—
1003#127C22×D7314yes—
1004#126—734no—
1005#126—738no—
1006#126—734no—
1007#126—738no—
1008#126—738no—
1009#126—738no—
1010#126—738no—
1011#126—738no—
1012#126—734no—
1013#126C22×D7314yes—
1014#125—734no—
1015#125—734no—
1016#125—738no—
1017#125—738no—
1018#125—734no—
1019#125—732no—
1020#125—734no—
1021#125C22×D7312yes—
1022#124—738no—
1023#124—732no—
1024#124—732no—
1025#124—732no—
1026#124—732no—
1027#124—734no—
1028#124—738no—
1029#124—738no—
1030#124—734no—
1031#124—734no—
1032#124—738no—
1033#124—738no—
1034#124—738no—
1035#124—738no—
1036#124—738no—
1037#124—738no—
1038#124—732no—
1039#124C22×D7312yes—
1040#124C22×D7314yes—
1041#123—734no—
1042#123—738no—
1043#123—734no—
1044#123—738no—
1045#123—738no—
1046#123—738no—
1047#123—738no—
1048#123—734no—
1049#123—734no—
1050#123—734no—
1051#123—738no—
1052#123—734no—
1053#123—734no—
1054#123—734no—
1055#123—734no—
1056#123—734no—
1057#123—738no—
1058#123—734no—
1059#123—738no—
1060#123—738no—
1061#123—738no—
1062#123—738no—
1063#123C22×D7314yes—
1064#123C22×D7314yes—
1065#123C22×D7314yes—
1066#123C22×D7318yes—
1067C22⋊Q8—732no—
1068C22⋊Q8—734no—
1069C22⋊Q8—732no—
1070C22⋊Q8—738no—
1071C22⋊Q8—734no—
1072C22⋊Q8—738no—
1073C22⋊Q8—734no—
1074C22⋊Q8—734no—
1075C22⋊Q8—732no—
1076C22⋊Q8—734no—
1077C22⋊Q8—738no—
1078C22⋊Q8—738no—
1079C22⋊Q8—738no—
1080C22⋊Q8—734no—
1081C22⋊Q8—738no—
1082C22⋊Q8—738no—
1083C22⋊Q8—738no—
1084C22⋊Q8—738no—
1085C22⋊Q8—738no—
1086C22⋊Q8—738no—
1087C22⋊Q8—738no—
1088C22⋊Q8C22×D7312yes—
1089#121—734no—
1090#121—734no—
1091#121—738no—
1092#121—734no—
1093#121—734no—
1094#121—738no—
1095#121—732no—
1096#121—734no—
1097#121—738no—
1098#121—738no—
1099#121—738no—
1100#121—738no—
1101#121—738no—
1102#121—738no—
1103#121—738no—
1104#121—734no—
1105#121—738no—
1106#121—738no—
1107#121—738no—
1108#121—738no—
1109#121—738no—
1110#121—734no—
1111#121—734no—
1112#121—738no—
1113#121—738no—
1114#121—732no—
1115#121—738no—
1116#121—738no—
1117#121—734no—
1118#121—732no—
1119#121—734no—
1120#121—734no—
1121#121—734no—
1122#121—738no—
1123#121—738no—
1124#121C22×D7312yes—
1125#121C22×D7318yes—
1126#121C22×D7314yes—
1127#121C22×D7318yes—
1128#121C22×D7318yes—
1129#121C22×D7318yes—
1130#121C22×D7314yes—
1131#120—734no—
1132#120—738no—
1133#120—734no—
1134#120—738no—
1135#120—734no—
1136#120—734no—
1137#120—734no—
1138#120—738no—
1139#120—738no—
1140#120—734no—
1141#120—734no—
1142#120—734no—
1143#120C22×D7314yes—
1144#120C22×D7318yes—
1145#120C22×D7314yes—
1146#120C22×D7318yes—
1147C4×Q8—732no—
1148C4×Q8—734no—
1149C4×Q8—732no—
1150C4×Q8—734no—
1151C4×Q8—734no—
1152C4×Q8—734no—
1153C4×Q8—734no—
1154C4×Q8—732no—
1155C4×Q8—734no—
1156C4×Q8C22×D7312yes—
1157C4×D4—734no—
1158C4×D4—732no—
1159C4×D4—734no—
1160C4×D4—738no—
1161C4×D4—738no—
1162C4×D4—734no—
1163C4×D4—738no—
1164C4×D4—734no—
1165C4×D4—734no—
1166C4×D4—734no—
1167C4×D4—738no—
1168C4×D4—738no—
1169C4×D4—734no—
1170C4×D4—738no—
1171C4×D4—734no—
1172C4×D4—738no—
1173C4×D4—734no—
1174C4×D4—734no—
1175C4×D4—734no—
1176C4×D4—738no—
1177C4×D4—732no—
1178C4×D4—734no—
1179C4×D4—734no—
1180C4×D4—734no—
1181C4×D4—738no—
1182C4×D4—734no—
1183C4×D4—738no—
1184C4×D4—734no—
1185C4×D4—734no—
1186C4×D4—734no—
1187C4×D4—734no—
1188C4×D4—734no—
1189C4×D4—734no—
1190C4×D4—734no—
1191C4×D4—734no—
1192C4×D4—732no—
1193C4×D4C22×D7314yes—
1194C4×D4C22×D7314yes—
1195C4×D4C22×D7312yes—
1196C4×D4C22×D7314yes—
1197#117—734no—
1198#117—738no—
1199#117—734no—
1200#117—732no—
1201#117—732no—
1202#117—734no—
1203#117—734no—
1204#117—734no—
1205#117—734no—
1206#117—734no—
1207#117—738no—
1208#117—734no—
1209#117—734no—
1210#117—734no—
1211#117—734no—
1212#117—738no—
1213#117—734no—
1214#117—734no—
1215#117C22×D7314yes—
1216C2×C4⋊C4—738no—
1217C2×C4⋊C4—734no—
1218C2×C4⋊C4—734no—
1219C2×C4⋊C4—734no—
1220C2×C22⋊C4—734no—
1221C2×C22⋊C4—738no—
1222C2×C22⋊C4—738no—
1223C2×C22⋊C4—738no—
1224C2×C22⋊C4C22×D7314yes—
1225C2×C42—738no—
1226C2×C42—732no—
1227C2×C42—734no—
1228C2×C42—731no—
1229C2×C42—734no—
1230C2×C42—731no—
1231C2×C42—732no—
1232C2×C42—731no—
1233C2×C42—731no—
1234C2×C42—732no—
1235C2×C42—731no—
1236C2×C42C22×D7311yescharacteristic
1237C24—734no—
1238C24—731no—
1239C24C23×D7314yes—
1240C24C23×D7314yes—
1241#41—48no—
1242#41—2928no—
1243#41—2924no—
1244#41—2928no—
1245#41—29216no—
1246#41—29216no—
1247#41—2924no—
1248#41—29216no—
1249#41—2924no—
1250#41—2928no—
1251#41—2924no—
1252#41—2928no—
1253#41—2924no—
1254#41—2924no—
1255#41—14616no—
1256C2×Q8—2924no—
1257C2×Q8—2928no—
1258C2×Q8—734no—
1259C2×Q8—732no—
1260C2×Q8—738no—
1261C2×Q8—734no—
1262C2×Q8—732no—
1263C2×Q8—732no—
1264C2×Q8—734no—
1265C2×Q8C23×D7312yes—
1266C2×D4—48no—
1267C2×D4—48no—
1268C2×D4—44no—
1269C2×D4—48no—
1270C2×D4—2928no—
1271C2×D4—2928no—
1272C2×D4—2928no—
1273C2×D4—2928no—
1274C2×D4—734no—
1275C2×D4—738no—
1276C2×D4—738no—
1277C2×D4—734no—
1278C2×D4—734no—
1279C2×D4—734no—
1280C2×D4—738no—
1281C2×D4—734no—
1282C2×D4—738no—
1283C2×D4—734no—
1284C2×D4—734no—
1285C2×D4—734no—
1286C2×D4—734no—
1287C2×D4—734no—
1288C2×D4—734no—
1289C2×D4—732no—
1290C2×D4C23×D7314yes—
1291C2×D4C23×D7312yes—
1292C2×D4C23×D7314yes—
1293C2×D4C23×D7314yes—
1294C2×D4C23×D7318yes—
1295C2×D4C23×D7318yes—
1296C2×D4C23×D7318yes—
1297C2×D4C23×D7312yes—
1298C2×D4C23×D7314yes—
1299C2×D4C23×D7318yes—
1300C2×D4C23×D7312yes—
1301C22×C4—2924no—
1302C22×C4—2928no—
1303C22×C4—2928no—
1304C22×C4—732no—
1305C22×C4—734no—
1306C22×C4—738no—
1307C22×C4—738no—
1308C22×C4—734no—
1309C22×C4—732no—
1310C22×C4—732no—
1311C22×C4—734no—
1312C22×C4—738no—
1313C22×C4—731no—
1314C22×C4—734no—
1315C22×C4—734no—
1316C22×C4—734no—
1317C22×C4—734no—
1318C22×C4—734no—
1319C22×C4—734no—
1320C22×C4—732no—
1321C22×C4—732no—
1322C22×C4—731no—
1323C22×C4—731no—
1324C22×C4—731no—
1325C22×C4—731no—
1326C22×C4—734no—
1327C22×C4—734no—
1328C22×C4—1464no—
1329C22×C4—14616no—
1330C22×C4C23×D7312yes—
1331C22×C4C23×D7311yescharacteristic
1332C22×C4C23×D7314yes—
1333C22×C4C23×D7318yes—
1334C22×C4C23×D7314yes—
1335C4⋊C4—734no—
1336C4⋊C4—734no—
1337C4⋊C4—738no—
1338C4⋊C4—738no—
1339C4⋊C4—738no—
1340C4⋊C4—734no—
1341C4⋊C4—734no—
1342C4⋊C4—734no—
1343C4⋊C4—738no—
1344C4⋊C4—734no—
1345C4⋊C4—734no—
1346C4⋊C4—734no—
1347C4⋊C4—734no—
1348C4⋊C4—734no—
1349C4⋊C4—734no—
1350C4⋊C4—732no—
1351C4⋊C4—734no—
1352C4⋊C4—738no—
1353C4⋊C4—738no—
1354C4⋊C4—732no—
1355C4⋊C4—734no—
1356C4⋊C4—734no—
1357C4⋊C4—738no—
1358C4⋊C4C23×D7312yes—
1359C4⋊C4C23×D7312yes—
1360C4⋊C4C23×D7314yes—
1361C4⋊C4C23×D7314yes—
1362C4⋊C4C23×D7314yes—
1363C4⋊C4C23×D7314yes—
1364C22⋊C4—738no—
1365C22⋊C4—734no—
1366C22⋊C4—734no—
1367C22⋊C4—738no—
1368C22⋊C4—734no—
1369C22⋊C4—734no—
1370C22⋊C4—738no—
1371C22⋊C4—738no—
1372C22⋊C4—738no—
1373C22⋊C4—738no—
1374C22⋊C4—738no—
1375C22⋊C4—734no—
1376C22⋊C4—738no—
1377C22⋊C4—734no—
1378C22⋊C4—738no—
1379C22⋊C4—734no—
1380C22⋊C4—734no—
1381C22⋊C4—734no—
1382C22⋊C4—738no—
1383C22⋊C4—734no—
1384C22⋊C4—734no—
1385C22⋊C4—734no—
1386C22⋊C4—734no—
1387C22⋊C4—734no—
1388C22⋊C4—734no—
1389C22⋊C4C23×D7318yes—
1390C22⋊C4C23×D7314yes—
1391C22⋊C4C23×D7314yes—
1392C22⋊C4C23×D7314yes—
1393C22⋊C4C23×D7314yes—
1394C22⋊C4C23×D7314yes—
1395C22⋊C4C23×D7318yes—
1396C22⋊C4C23×D7314yes—
1397C22⋊C4C23×D7314yes—
1398C42—732no—
1399C42—731no—
1400C42—732no—
1401C42—734no—
1402C42—734no—
1403C42—732no—
1404C42—732no—
1405C42—732no—
1406C42—731no—
1407C42—738no—
1408C42—734no—
1409C42—734no—
1410C42—734no—
1411C42—738no—
1412C42C23×D7312yes—
1413C42C23×D7311yescharacteristic
1414C42C23×D7311yescharacteristic
1415C42C23×D7314yes—
1416C23—28no—
1417C23—44no—
1418C23—48no—
1419C23—48no—
1420C23—2922no—
1421C23—2924no—
1422C23—2928no—
1423C23—734no—
1424C23—731no—
1425C23—731no—
1426C23—1462no—
1427C23C24×D7314yes—
1428C23C24×D7314yes—
1429C23C24×D7314yes—
1430C23C24×D7311yescharacteristic
1431Q8—24no—
1432Q8—2922no—
1433Q8—2924no—
1434Q8—2922no—
1435Q8—2928no—
1436Q8—2924no—
1437Q8—1468no—
1438Q8—1464no—
1439D4—28no—
1440D4—28no—
1441D4—24no—
1442D4—28no—
1443D4—42no—
1444D4—44no—
1445D4—42no—
1446D4—48no—
1447D4—48no—
1448D4—48no—
1449D4—48no—
1450D4—2924no—
1451D4—2924no—
1452D4—2924no—
1453D4—2924no—
1454D4—2928no—
1455D4—2924no—
1456D4—2928no—
1457D4—2924no—
1458D4—2928no—
1459D4—2928no—
1460D4—2924no—
1461D4—2924no—
1462D4—2924no—
1463D4—1468no—
1464D4—1468no—
1465D4—1464no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—28no—
1469C2×C4—44no—
1470C2×C4—48no—
1471C2×C4—2928no—
1472C2×C4—2922no—
1473C2×C4—2922no—
1474C2×C4—2924no—
1475C2×C4—2924no—
1476C2×C4—2928no—
1477C2×C4—2922no—
1478C2×C4—2924no—
1479C2×C4—2928no—
1480C2×C4—734no—
1481C2×C4—731no—
1482C2×C4—731no—
1483C2×C4—732no—
1484C2×C4—732no—
1485C2×C4—734no—
1486C2×C4—734no—
1487C2×C4—734no—
1488C2×C4—734no—
1489C2×C4—734no—
1490C2×C4—1468no—
1491C2×C4—1462no—
1492C2×C4—1462no—
1493C2×C4—1462no—
1494C2×C4—1462no—
1495C2×C4—1468no—
1496C2×C4—1468no—
1497C2×C4—1468no—
1498C2×C4—1468no—
1499C2×C4—1468no—
1500C2×C4—1468no—
1501C2×C4—1464no—
1502C2×C4—1464no—
1503C2×C4—1468no—
1504C2×C4C24×D7314yes—
1505C2×C4C24×D7314yes—
1506C2×C4C24×D7312yes—
1507C2×C4C24×D7311yescharacteristic
1508C2×C4C24×D7311yescharacteristic
1509C2×C4C24×D7314yes—
1510C2×C4C24×D7312yes—
1511C22—22no—
1512C22—24no—
1513C22—24no—
1514C22—24no—
1515C22—24no—
1516C22—28no—
1517C22—24no—
1518C22—28no—
1519C22—88no—
1520C22—88no—
1521C22—2924no—
1522C22—5848no—
1523C22—1464no—
1524C22—1461no—
1525C22—1461no—
1526C22—1462no—
1527C22—1462no—
1528C22—1464no—
1529C22—1464no—
1530C22H(5,𝔽2)×D7312yes—
1531C22C25×D7311yescharacteristic
1532C4—21no—
1533C4—21no—
1534C4—24no—
1535C4—24no—
1536C4—22no—
1537C4—24no—
1538C4—732no—
1539C4—732no—
1540C4—1464no—
1541C4—1464no—
1542C4—1464no—
1543C4—1462no—
1544C4—1464no—
1545C4—1464no—
1546C4—1462no—
1547C4#1798942214yes—
1548C2—22no—
1549C2—44no—
1550C2—44no—
1551C2—44no—
1552C2—2921no—
1553C2—2921no—
1554C2—2924no—
1555C2C2×H(5,𝔽2)×D7311yescharacteristic
1556C2C2×#1798942212yes—
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3543C2
hypercenter#3543D73
hypocenterC73#62759
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3543

Complements

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

NH ≅ G/Ntype
1. #22624350C2semidirect
2. #22624343C2semidirect
3. #22624333C2semidirect
4. #22624324C2semidirect
5. #22624309C2semidirect
6. #22624292C2semidirect
7. #22624280C2semidirect
8. #22624271C2semidirect
9. #22624264C2semidirect
10. #22624252C2semidirect
11. #22624233C2semidirect
12. #22624066C2semidirect
13. #22623554C2semidirect
14. #22623540C2semidirect
15. #22623532C2semidirect
16. #22623482C2semidirect
17. D4×#11924027C2semidirect
18. #22623346C2semidirect
19. #22623344C2semidirect
20. #22623257C2semidirect
21. #22623225C2semidirect
22. C2×#17989135C2semidirect
23. C73×#3543C2semidirect
24. C22×#11924027C22semidirect
25. C22×#11924027C22semidirect
26. #17989340C22semidirect
27. #17989339C22semidirect
28. #17989334C22semidirect
29. #17989332C22semidirect
30. #17989332C22semidirect
31. #17989330C22semidirect
32. #17989326C22semidirect
33. #17989325C22semidirect
34. #17989324C22semidirect
35. #17989323C22semidirect
36. Q8×Dic146C22semidirect
37. #17989306C22semidirect
38. #17989302C22semidirect
39. #17989302C22semidirect
40. #17989301C22semidirect
41. #17989301C22semidirect
42. #17989301C22semidirect
43. #17989297C22semidirect
44. #17989296C22semidirect
45. #17989294C22semidirect
46. #17989289C22semidirect
47. #17989287C22semidirect
48. #17989280C22semidirect
49. #17989279C22semidirect
50. #17989277C22semidirect
51. #17989274C22semidirect
52. #17989268C22semidirect
53. #17989268C22semidirect
54. #17989265C22semidirect
55. #17989263C22semidirect
56. #17989257C22semidirect
57. #17989257C22semidirect
58. #17989257C22semidirect
59. #17989256C22semidirect
60. D4×Dic146C22semidirect
61. #17989243C22semidirect
62. #17989241C22semidirect
63. #17989237C22semidirect
64. #17989237C22semidirect
65. #17989236C22semidirect
66. #17989231C22semidirect
67. #17989231C22semidirect
68. #17989231C22semidirect
69. #17989230C22semidirect
70. #17989224C22semidirect
71. #17989224C22semidirect
72. #17989222C22semidirect
73. D4×C22⋊D73C22semidirect
74. D4×C22⋊D73C22semidirect
75. #17989217C22semidirect
76. #17989215C22semidirect
77. #17989208C22semidirect
78. #17989206C22semidirect
79. #17989206C22semidirect
80. #17989205C22semidirect
81. #17989204C22semidirect
82. #17989202C22semidirect
83. #17989191C22semidirect
84. #17989191C22semidirect
85. #17989190C22semidirect
86. #17989188C22semidirect
87. #17989187C22semidirect
88. #17989173C22semidirect
89. #17989172C22semidirect
90. #17989172C22semidirect
91. #17989169C22semidirect
92. #17989166C22semidirect
93. #17989165C22semidirect
94. #17989164C22semidirect
95. #17989164C22semidirect
96. #17989159C22semidirect
97. #17989159C22semidirect
98. #17989159C22semidirect
99. #17989154C22semidirect
100. #17989153C22semidirect
101. #17989152C22semidirect
102. #17989152C22semidirect
103. #17989152C22semidirect
104. #17989150C22semidirect
105. #17989149C22semidirect
106. #17989146C22semidirect
107. #17989146C22semidirect
108. #17989143C22semidirect
109. #17989141C22semidirect
110. #17989139C22semidirect
111. #17989136C22semidirect
114. #17989135C22semidirect
115. #17989135C22semidirect
116. #17989135C22semidirect
117. #17989135C22semidirect
118. #17989135C22semidirect
119. #17989135C22semidirect
120. #17989135C22semidirect
121. #17989134C22semidirect
123. #17989132C22semidirect
124. #17989132C22semidirect
125. #17989132C22semidirect
126. C2×#14556591C22semidirect
127. #17989122C22semidirect
128. #17989121C22semidirect
129. #17989120C22semidirect
130. #17989120C22semidirect
131. #17989118C22semidirect
132. #17989118C22semidirect
133. #17989116C22semidirect
134. #17989116C22semidirect
135. #17989115C22semidirect
136. #17989114C22semidirect
137. #17989114C22semidirect
138. C2×#14556578C22semidirect
139. #17989100C22semidirect
140. #17989097C22semidirect
141. #17989097C22semidirect
142. #17989096C22semidirect
143. #17989095C22semidirect
144. #17989095C22semidirect
145. #17989095C22semidirect
146. #17989093C22semidirect
147. #17989093C22semidirect
148. #17989093C22semidirect
149. #17989093C22semidirect
150. C2×#14556562C22semidirect
151. #41×Dic73C22semidirect
152. C4×#11924029C22semidirect
153. #17989055C22semidirect
154. C4×#11924027C22semidirect
155. C4×#11924027C22semidirect
156. C4×#11924027C22semidirect
157. C2×D4×Dic73C22semidirect
158. C2×D4×Dic73C22semidirect
159. C4×D4×D73C22semidirect
160. C2×#14556547C22semidirect
161. C2×C42×D73C22semidirect
162. #560×C73C22semidirect
163. #559×C73C22semidirect
164. #550×C73C22semidirect
165. #546×C73C22semidirect
166. D42×C73C22semidirect
167. D42×C73C22semidirect
168. #540×C73C22semidirect
169. #535×C73C22semidirect
170. #534×C73C22semidirect
172. #529×C73C22semidirect
788. #3543D73semidirect
802. C73#62759semidirect
814. #560C2×D73semidirect
816. #559C2×D73semidirect
841. #550C2×D73semidirect
854. #546C2×D73semidirect
858. D42C2×D73semidirect
859. D42C2×D73semidirect
873. #540C2×D73semidirect
891. #535C2×D73semidirect
895. #534C2×D73semidirect
927. #529C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243502
#226243432
#226243332
#226243242
#226243092
#226242922
#226242802
#226242712
#226242642
#226242522
#226242332
#226240662
#226235542
#226235402
#226235322
#226234822
D4×#119240272
#226233462
#226233442
#226232572
#226232252
C2×#179891352
C73×#35432
#6275973