Finite Group Databasebeta

← #33993813

Subgroups — #33993813

Order 18688.

7270 conjugacy classes of subgroups.

The subgroup lattice has 1556 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624356C214yesmaximal, complemented
2#22624337C211yesmaximal, characteristic, complemented
3#22624332C211yesmaximal, characteristic, complemented
4#22624330C212yesmaximal, complemented
5#22624317C214yesmaximal, complemented
6#22624300C214yesmaximal, complemented
7#22624285C214yesmaximal, complemented
8#22624275C211yesmaximal, characteristic, complemented
9#22624261C212yesmaximal, complemented
10#22624248C214yesmaximal, complemented
11#22624241C214yesmaximal, complemented
12#22624072C214yesmaximal, complemented
13#22623558C211yesmaximal, characteristic, complemented
14#22623556C211yesmaximal, characteristic, complemented
15#22623542C212yesmaximal, complemented
16#22623496C214yesmaximal, complemented
17#22623418C214yesmaximal, complemented
18#22623354C214yesmaximal, complemented
19#22623351C214yesmaximal, complemented
20#22623263C214yesmaximal, complemented
21#22623225C212yesmaximal, complemented
22C2×#17989138C211yesmaximal, characteristic, complemented
23C73×#3544C211yesmaximal, characteristic, complemented
24C22×#11924029C2212yescomplemented
25C2×#41×D73C2214yescomplemented
26#17989336C2214yescomplemented
27#17989336C2214yescomplemented
28#17989335C2218yescomplemented
29#17989333C2218yescomplemented
30#17989333C2218yescomplemented
31#17989329C2214yescomplemented
32#17989328C2218yescomplemented
33#17989328C2218yescomplemented
34#17989327C2218yescomplemented
35#17989322C2212yescomplemented
36#17989317C2211yescharacteristic, complemented
37#17989309C2214yescomplemented
38#17989303C2211yescharacteristic, complemented
39#17989303C2214yescomplemented
40#17989303C2214yescomplemented
41#17989300C2214yescomplemented
42#17989300C2214yescomplemented
43#17989299C2214yescomplemented
44#17989298C2212yescomplemented
45#17989293C2214yescomplemented
46#17989290C2214yescomplemented
47#17989288C2218yescomplemented
48#17989285C2214yescomplemented
49#17989272C2214yescomplemented
50#17989269C2218yescomplemented
51#17989264C2218yescomplemented
52#17989261C2218yescomplemented
53#17989260C2218yescomplemented
54#17989259C2212yescomplemented
55#17989259C2214yescomplemented
56#17989258C2212yescomplemented
57#17989258C2214yescomplemented
58#17989255C2214yescomplemented
59#17989252C2214yescomplemented
60#17989247C2218yescomplemented
61#17989239C2214yescomplemented
62#17989238C2214yescomplemented
63#17989238C2214yescomplemented
64#17989233C2214yescomplemented
65#17989232C2214yescomplemented
66#17989229C2218yescomplemented
67#17989229C2218yescomplemented
68#17989228C2214yescomplemented
69#17989228C2214yescomplemented
70#17989225C2218yescomplemented
71D4×D292C2212yescomplemented
72D4×D292C2214yescomplemented
73#17989221C2214yescomplemented
74#17989221C2214yescomplemented
75#17989214C2214yescomplemented
76#17989211C2214yescomplemented
77#17989211C2218yescomplemented
78#17989211C2214yescomplemented
79#17989209C2214yescomplemented
80#17989207C2218yescomplemented
81#17989193C2214yescomplemented
82#17989193C2214yescomplemented
83#17989193C2218yescomplemented
84#17989192C2214yescomplemented
85#17989189C2218yescomplemented
86#17989188C2214yescomplemented
87#17989177C2218yescomplemented
88#17989177C2218yescomplemented
89#17989176C2218yescomplemented
90#17989171C2218yescomplemented
91#17989168C2214yescomplemented
92#17989167C2218yescomplemented
93#17989167C2218yescomplemented
94#17989167C2214yescomplemented
95#17989162C2214yescomplemented
96#17989162C2214yescomplemented
97#17989161C2214yescomplemented
98#17989156C2214yescomplemented
99#17989156C2214yescomplemented
100#17989156C2214yescomplemented
101#17989155C2214yescomplemented
102#17989155C2214yescomplemented
103#17989155C2214yescomplemented
104#17989153C2214yescomplemented
105#17989151C2214yescomplemented
106#17989148C2218yescomplemented
107#17989148C2218yescomplemented
108#17989143C2212yescomplemented
109#17989141C2212yescomplemented
110#17989139C2212yescomplemented
111#17989138C2211yescharacteristic
112#17989138C2211yescharacteristic
113#17989138C2214yescomplemented
114#17989138C2214yescomplemented
115#17989138C2214yescomplemented
116#17989138C2211yescharacteristic, complemented
117#17989138C2214yescomplemented
118#17989138C2212yescomplemented
119#17989138C2211yescharacteristic, complemented
120#17989138C2212yescomplemented
121#17989138C2214yescomplemented
122#17989136C2214yescomplemented
123#17989136C2214yescomplemented
124#17989136C2212yescomplemented
125#17989134C2212yescomplemented
126#17989132C2212yes—
127#17989132C2214yescomplemented
128C2×#14556588C2211yescharacteristic
129#17989123C2214yescomplemented
130#17989122C2214yescomplemented
131#17989122C2218yescomplemented
132#17989122C2212yescomplemented
133#17989121C2212yescomplemented
134#17989120C2218yescomplemented
135#17989120C2214yescomplemented
136#17989120C2214yescomplemented
137#17989116C2212yescomplemented
138#17989115C2214yescomplemented
139#17989114C2214yescomplemented
140C2×#14556580C2212yescomplemented
141#17989100C2218yescomplemented
142#17989100C2218yescomplemented
143#17989100C2218yescomplemented
144#17989100C2212yescomplemented
145#17989097C2212yescomplemented
146#17989096C2214yescomplemented
147#17989095C2218yescomplemented
148#17989095C2214yescomplemented
149#17989095C2218yescomplemented
150C2×#14556566C2214yescomplemented
151C4×#11924029C2214yescomplemented
152C4×#11924029C2212yescomplemented
153#17989055C2214yescomplemented
154#17989055C2214yescomplemented
155C4×#11924027C2214yescomplemented
156C4×#11924027C2212yescomplemented
157C2×#14556553C2214yescomplemented
158C2×#14556553C2214yescomplemented
159C4×D4×D73C2214yescomplemented
160#117×D73C2214yescomplemented
161C2×C42×D73C2211yescharacteristic, complemented
162#563×C73C2214yescomplemented
163Q82×C73C2211yescharacteristic, complemented
164#555×C73C2211yescharacteristic, complemented
165#554×C73C2212yescomplemented
166#552×C73C2214yescomplemented
167#547×C73C2214yescomplemented
168#544×C73C2214yescomplemented
169#542×C73C2214yescomplemented
170#536×C73C2214yescomplemented
171C2×C4⋊Q8×C73C2211yescharacteristic, complemented
172#529×C73C2212yescomplemented
173C2×#11924029—48no—
174C2×#11924029C2312yes—
175C2×#11924029C2314yes—
176C2×#11924029C2312yes—
177C2×#11924029C2312yes—
178C2×#11924029C2312yes—
179C2×#11924029C2314yes—
180C2×#11924029C2314yes—
181C2×#11924029C2312yes—
182C2×#11924029C2314yes—
183C2×#11924028C2314yes—
184C2×#11924028C2314yes—
185C2×#11924028C2314yes—
186C2×#11924028C2318yes—
187C2×#11924027C2314yes—
188C2×#11924027C2314yes—
189C2×#11924027C2312yes—
190#41×D73—416no—
191C2×Q8×D73C2314yes—
192C22×D292C2312yes—
193C22×D292C2314yes—
194C22×D292C2314yes—
195C22×D292C2314yes—
196C2×D4×D73C2318yes—
197C2×D4×D73C2314yes—
198C2×D4×D73C2314yes—
199C22×C4×D73C2314yes—
200C22×C4×D73C2311yescharacteristic
201C22×C4×D73C2318yes—
202C22×C4×D73C2312yes—
203#14556590C2312yes—
204#14556590C2314yes—
205#14556590C2312yes—
206#14556589C2312yes—
207#14556589C2314yes—
208#14556589C2314yes—
209#14556588C2311yescharacteristic
210#14556588C2314yes—
211#14556588C2311yescharacteristic
212#14556588C2312yes—
213#14556588C2314yes—
214#14556588C2314yes—
215#14556588C2314yes—
216#14556587C2312yes—
217#14556587C2314yes—
218#14556587C2314yes—
219#14556587C2314yes—
220#14556586C2314yes—
221#14556586C2318yes—
222#14556586C2318yes—
223#14556586C2318yes—
224#14556586C2318yes—
225#14556585C2314yes—
226#14556585C2318yes—
227#14556584C2314yes—
228#14556583C2312yes—
229#14556582C2314yes—
230#14556581C2314yes—
231#14556581C2314yes—
232#14556581C2318yes—
233#14556580C2314yes—
234#14556580C2312yes—
235#14556580C2312yes—
236#14556580C2318yes—
237#14556580C2312yes—
238#14556580C2312yes—
239#14556580C2314yes—
240#14556580C2314yes—
241#14556580C2314yes—
242#14556580C2314yes—
243#14556580C2318yes—
244#14556579C2312yes—
245#14556579C2314yes—
246#14556579C2318yes—
247#14556579C2314yes—
248#14556579C2314yes—
249#14556577C2314yes—
250#14556577C2314yes—
251#14556577C2318yes—
252#14556577C2318yes—
253#14556576C2314yes—
254#14556576C2318yes—
255#14556576C2314yes—
256#14556576C2318yes—
257#14556576C2318yes—
258#14556576C2318yes—
259#14556576C2318yes—
260#14556576C2318yes—
261#14556576C2318yes—
262#14556576C2318yes—
263#14556576C2318yes—
264#14556576C2318yes—
265#14556575C2318yes—
266#14556574C2314yes—
267#14556574C2318yes—
268#14556574C2318yes—
269#14556573C2318yes—
270#14556573C2314yes—
271#14556573C2314yes—
272#14556571C2312yes—
273#14556571C2314yes—
274#14556571C2318yes—
275#14556570C2312yes—
276#14556569C2314yes—
277#14556569C2314yes—
278#14556569C2318yes—
279#14556569C2314yes—
280#14556569C2318yes—
281#14556569C2318yes—
282#14556569C2318yes—
283#14556569C2318yes—
284#14556568C2314yes—
285#14556567C2312yes—
286#14556567C2318yes—
287#14556567C2318yes—
288#14556567C2318yes—
289#14556566C2312yes—
290#14556566C2314yes—
291#14556566C2318yes—
292#14556566C2314yes—
293#14556566C2314yes—
294#14556566C2314yes—
295#14556566C2318yes—
296#14556566C2314yes—
297#14556566C2318yes—
298#14556566C2318yes—
299#14556566C2318yes—
300#14556566C2318yes—
301#14556566C2318yes—
302#14556566C2314yes—
303#14556566C2314yes—
304#14556566C2318yes—
305#14556566C2318yes—
306#14556566C2318yes—
307#14556566C2318yes—
308#14556565C2312yes—
309#14556565C2314yes—
310#14556565C2314yes—
311#14556565C2318yes—
312#14556565C2318yes—
313#14556565C2318yes—
314#14556564C2314yes—
315#14556564C2314yes—
316#14556564C2318yes—
317#14556564C2318yes—
318#14556564C2318yes—
319#14556564C2318yes—
320#14556564C2318yes—
321#14556564C2314yes—
322#14556564C2318yes—
323#14556564C2318yes—
324#14556564C2318yes—
325#14556564C2318yes—
326#14556563C2314yes—
327#14556563C2318yes—
328#14556562C2312yes—
329#14556561C2314yes—
330#14556561C2318yes—
331#14556561C2318yes—
332#14556561C2318yes—
333#14556561C2318yes—
334#14556561C2318yes—
335#14556561C2318yes—
336#14556561C2318yes—
337#14556561C2318yes—
338#14556559C2314yes—
339#14556559C2318yes—
340#14556559C2318yes—
341Q8×Dic73C2312yes—
342C4×Dic146C2312yes—
343C4×Dic146C2314yes—
344#14556556C2314yes—
345#14556556C2314yes—
346#14556556C2312yes—
347#14556556C2314yes—
348#14556556C2314yes—
349C4×D292C2312yes—
350C4×D292C2318yes—
351C4×D292C2314yes—
352C4×D292C2314yes—
353C4×D292C2314yes—
354D4×Dic73C2312yes—
355D4×Dic73C2314yes—
356#14556553C2318yes—
357#14556553C2314yes—
358#14556553C2314yes—
359#14556553C2318yes—
360#14556553C2314yes—
361#14556553C2312yes—
362#14556553C2314yes—
363#14556553C2318yes—
364#14556553C2314yes—
365#14556553C2314yes—
366#14556553C2318yes—
367#14556553C2314yes—
368#14556553C2314yes—
369#14556553C2314yes—
370#14556553C2314yes—
371#14556553C2318yes—
372C4×C22⋊D73C2314yes—
373C4×C22⋊D73C2314yes—
374C4×C22⋊D73C2318yes—
375C4×C22⋊D73C2314yes—
376#14556551C2318yes—
377#14556551C2314yes—
378#14556551C2318yes—
379#14556551C2314yes—
380#14556551C2314yes—
381#14556551C2314yes—
382#14556551C2314yes—
383#14556551C2314yes—
384#14556551C2318yes—
385#14556551C2314yes—
386#14556550C2314yes—
387#14556549C2314yes—
388#14556549C2318yes—
389#14556549C2314yes—
390#14556549C2312yes—
391#14556549C2312yes—
392#14556549C2314yes—
393#14556549C2318yes—
394#14556548C2314yes—
395#14556548C2314yes—
396#14556548C2314yes—
397#14556548C2314yes—
398#14556548C2318yes—
399#14556547C2314yes—
400#14556547C2314yes—
401#14556547C2314yes—
402C4⋊C4×D73C2318yes—
403C4⋊C4×D73C2314yes—
404C2×#11924005C2318yes—
405C2×#11924005C2318yes—
406C22⋊C4×D73C2318yes—
407C22⋊C4×D73C2318yes—
408C2×C4×Dic73C2314yes—
409C2×C4×Dic73C2312yes—
410C2×C4×Dic73C2311yescharacteristic
411C42×D73C2311yescharacteristic
412C42×D73C2311yescharacteristic
413C42×D73C2314yes—
414C42×D73C2314yes—
415C42×D73C2312yes—
416C42×D73C2314yes—
417C42×D73C2311yescharacteristic
418C42×D73C2312yes—
419C42×D73C2311yescharacteristic
420C2×#41×C73C2314yes—
421C22×Q8×C73C2312yes—
422C4⋊Q8×C73C2311yescharacteristic
423C4⋊Q8×C73C2311yescharacteristic
424C4⋊Q8×C73C2314yes—
425C4⋊Q8×C73C2312yes—
426C4⋊Q8×C73C2314yes—
427C4⋊Q8×C73C2314yes—
428C4⋊Q8×C73C2314yes—
429#126×C73C2314yes—
430#126×C73C2318yes—
431#125×C73C2312yes—
432#125×C73C2318yes—
433#125×C73C2314yes—
434#124×C73C2312yes—
435#124×C73C2314yes—
436#124×C73C2314yes—
437#123×C73C2314yes—
438#123×C73C2318yes—
439#123×C73C2318yes—
440C22⋊Q8×C73C2314yes—
441C22⋊Q8×C73C2312yes—
442C22⋊Q8×C73C2318yes—
443C22⋊Q8×C73C2318yes—
444C22⋊Q8×C73C2318yes—
445#121×C73C2312yes—
446#121×C73C2314yes—
447C4×Q8×C73C2312yes—
448C4×Q8×C73C2314yes—
449C4×D4×C73C2312yes—
450C4×D4×C73C2314yes—
451C4×D4×C73C2314yes—
452#117×C73C2314yes—
453#117×C73C2314yes—
454#117×C73C2314yes—
455C2×C4⋊C4×C73C2314yes—
456C2×C4⋊C4×C73C2314yes—
457C2×C42×C73C2311yescharacteristic
458C23×D73C2414yes—
459C23×D73C2411yescharacteristic
460C23×D73C2418yes—
461#11924029—48no—
462#11924029—44no—
463#11924029—48no—
464#11924029—44no—
465#11924029—48no—
466#11924029—44no—
467#11924029—44no—
468#11924029—44no—
469#11924029—48no—
470#11924028—416no—
471#11924028—48no—
472#11924028—48no—
473#11924028—48no—
474#11924027—216no—
475#11924027—44no—
476#11924027—48no—
477C2×Dic146C2412yes—
478C2×Dic146C2414yes—
479C2×Dic146C2414yes—
480C2×Dic146C2414yes—
481Q8×D73—48no—
482C2×D292—48no—
483C2×D292—48no—
484C2×D292—44no—
485C2×D292—48no—
486C2×D292C2414yes—
487C2×D292C2412yes—
488C2×D292C2414yes—
489C2×D292C2418yes—
490C2×D292C2414yes—
491C2×D292C2418yes—
492C2×D292C2414yes—
493C2×D292C2418yes—
494C2×D292C2412yes—
495C2×D292C2414yes—
496C2×D292C2414yes—
497C2×D292C2414yes—
498C2×D292C2414yes—
499C2×D292C2418yes—
500C2×D292C2412yes—
501C2×D292C2414yes—
502C2×D292C2414yes—
503C2×C22⋊D73C2414yes—
504C2×C22⋊D73C2414yes—
505C2×C22⋊D73C2414yes—
506C2×C22⋊D73C2414yes—
507C2×C22⋊D73C2418yes—
508C2×C22⋊D73C2418yes—
509C2×C22⋊D73C2414yes—
510C2×C22⋊D73C2418yes—
511D4×D73—48no—
512D4×D73—48no—
513D4×D73—416no—
514C22×Dic73C2414yes—
515C22×Dic73C2412yes—
516C22×Dic73C2414yes—
517C22×Dic73C2411yescharacteristic
518C2×C4×D73—216no—
519C2×C4×D73—24no—
520C2×C4×D73—416no—
521C2×C4×D73—44no—
522C2×C4×D73C2412yes—
523C2×C4×D73C2412yes—
524C2×C4×D73C2411yescharacteristic
525C2×C4×D73C2411yescharacteristic
526C2×C4×D73C2414yes—
527C2×C4×D73C2411yescharacteristic
528C2×C4×D73C2411yescharacteristic
529C2×C4×D73C2414yes—
530C2×C4×D73C2414yes—
531C2×C4×D73C2414yes—
532C2×C4×D73C2414yes—
533C2×C4×D73C2414yes—
534C2×C4×D73C2412yes—
535C2×C4×D73C2412yes—
536C2×C4×D73C2414yes—
537C2×C4×D73C2418yes—
538C2×C4×D73C2418yes—
539C2×C4×D73C2418yes—
540C2×C4×D73C2418yes—
541C4⋊Dic73C2412yes—
542C4⋊Dic73C2418yes—
543C4⋊Dic73C2412yes—
544C4⋊Dic73C2414yes—
545C4⋊Dic73C2414yes—
546#11924007C2414yes—
547#11924007C2414yes—
548#11924007C2418yes—
549#11924007C2414yes—
550#11924007C2414yes—
551#11924007C2414yes—
552#11924007C2414yes—
553#11924007C2418yes—
554#11924007C2414yes—
555#11924007C2414yes—
556#11924007C2414yes—
557#11924007C2414yes—
558C22⋊Dic73C2414yes—
559C22⋊Dic73C2414yes—
560C22⋊Dic73C2414yes—
561#11924005C2418yes—
562#11924005C2418yes—
563#11924005C2418yes—
564#11924005C2418yes—
565#11924005C2414yes—
566#11924005C2418yes—
567#11924005C2418yes—
568#11924005C2418yes—
569#11924005C2418yes—
570#11924005C2418yes—
571#11924005C2414yes—
572#11924005C2414yes—
573#11924005C2414yes—
574#11924005C2414yes—
575#11924005C2418yes—
576#11924005C2414yes—
577#11924005C2414yes—
578#11924005C2414yes—
579#11924005C2418yes—
580#11924005C2418yes—
581#11924005C2414yes—
582#11924005C2414yes—
583C4×Dic73C2412yes—
584C4×Dic73C2414yes—
585C4×Dic73C2411yescharacteristic
586C4×Dic73C2412yes—
587C4×Dic73C2414yes—
588C4×Dic73C2412yes—
589C4×Dic73C2412yes—
590C4×Dic73C2412yes—
591C4×Dic73C2411yescharacteristic
592C4×Dic73C2414yes—
593C4×Dic73C2414yes—
594C4×Dic73C2414yes—
595C4×Dic73C2414yes—
596C4×Dic73C2414yes—
597#41×C73—48no—
598C2×Q8×C73—44no—
599C2×Q8×C73C2412yes—
600C2×Q8×C73C2412yes—
601C2×Q8×C73C2414yes—
602C2×Q8×C73C2414yes—
603C2×Q8×C73C2412yes—
604C2×D4×C73C2412yes—
605C2×D4×C73C2414yes—
606C2×D4×C73C2414yes—
607C22×C4×C73C2412yes—
608C22×C4×C73C2411yescharacteristic
609C22×C4×C73C2414yes—
610C22×C4×C73C2414yes—
611C22×C4×C73C2418yes—
612C4⋊C4×C73C2414yes—
613C4⋊C4×C73C2412yes—
614C4⋊C4×C73C2414yes—
615C4⋊C4×C73C2418yes—
616C4⋊C4×C73C2418yes—
617C4⋊C4×C73C2412yes—
618C4⋊C4×C73C2418yes—
619C4⋊C4×C73C2414yes—
620C4⋊C4×C73C2414yes—
621C4⋊C4×C73C2414yes—
622C4⋊C4×C73C2414yes—
623C4⋊C4×C73C2418yes—
624C22⋊C4×C73C2414yes—
625C22⋊C4×C73C2414yes—
626C22⋊C4×C73C2418yes—
627C22⋊C4×C73C2414yes—
628C22⋊C4×C73C2418yes—
629C22⋊C4×C73C2414yes—
630C22⋊C4×C73C2414yes—
631C42×C73C2412yes—
632C42×C73C2411yescharacteristic
633C42×C73C2411yescharacteristic
634C42×C73C2414yes—
635C42×C73C2414yes—
636C42×C73C2414yes—
637C23×C73C2514yes—
638C23×C73C2511yescharacteristic
639C22×D73—22no—
640C22×D73—28no—
641C22×D73—42no—
642C22×D73—48no—
643C22×D73—48no—
644C22×D73—48no—
645C22×D73—48no—
646C22×D73C2514yes—
647C22×D73C2514yes—
648C22×D73C2511yescharacteristic
649C22×D73C2511yescharacteristic
650C22×D73C2514yes—
651Q8×C73—24no—
652Q8×C73—42no—
653Q8×C73—44no—
654Q8×C73—42no—
655Q8×C73—44no—
656D4×C73—28no—
657D4×C73—24no—
658D4×C73—44no—
659C2×C4×C73—22no—
660C2×C4×C73—28no—
661C2×C4×C73—24no—
662C2×C4×C73—28no—
663C2×C4×C73—48no—
664C2×C4×C73C2514yes—
665C2×C4×C73C2514yes—
666C2×C4×C73C2512yes—
667C2×C4×C73C2511yescharacteristic
668C2×C4×C73C2511yescharacteristic
669C2×C4×C73C2514yes—
670C2×C4×C73C2514yes—
671C2×C4×C73C2514yes—
672C2×C4×C73C2512yes—
673C22⋊D73—28no—
674C22⋊D73—28no—
675C22⋊D73—48no—
676C22⋊D73—48no—
677C22⋊D73—44no—
678C22⋊D73—48no—
679C22⋊D73—44no—
680C22⋊D73—44no—
681C2×Dic73—28no—
682C2×Dic73—42no—
683C2×Dic73—44no—
684C2×Dic73H(5,𝔽2)14yes—
685C2×Dic73C2512yes—
686C2×Dic73C2512yes—
687C2×Dic73C2514yes—
688C2×Dic73C2514yes—
689C2×Dic73C2514yes—
690C2×Dic73C2511yescharacteristic
691C2×Dic73C2511yescharacteristic
692D292—28no—
693D292—24no—
694D292—28no—
695D292—48no—
696D292—44no—
697D292—48no—
698D292—48no—
699D292—44no—
700D292—44no—
701D292—44no—
702D292—44no—
703D292—42no—
704D292—44no—
705D292—42no—
706D292—44no—
707D292—44no—
708D292—48no—
709C4×D73—24no—
710C4×D73—24no—
711C4×D73—28no—
712C4×D73—28no—
713C4×D73—28no—
714C4×D73—28no—
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—48no—
725C4×D73—48no—
726C4×D73—48no—
727C4×D73—44no—
728Dic146—24no—
729Dic146—28no—
730Dic146—44no—
731Dic146—44no—
732C22×C73—22no—
733C22×C73—24no—
734C22×C73—24no—
735C22×C73—24no—
736C22×C73C2×H(5,𝔽2)12yes—
737C22×C73C2611yescharacteristic
738C2×D73—24no—
739C2×D73—21no—
740C2×D73—21no—
741C2×D73—24no—
742C2×D73—24no—
743C2×D73—22no—
744C2×D73—22no—
745C2×D73—24no—
746C2×D73—28no—
747C2×D73—24no—
748C2×D73—28no—
749C2×D73—44no—
750C2×D73—88no—
751C2×D73—816no—
752C4×C73—24no—
753C4×C73—24no—
754C4×C73—24no—
755C4×C73—21no—
756C4×C73—21no—
757C4×C73—24no—
758C4×C73—24no—
759C4×C73—22no—
760C4×C73#58514yes—
761Dic73—24no—
762Dic73—24no—
763Dic73—22no—
764Dic73—24no—
765Dic73—22no—
766Dic73C2×H(5,𝔽2)12yes—
767Dic73C2×H(5,𝔽2)12yes—
768#62759—731nomaximal, Sylow
769C2×C73—22no—
770C2×C73—44no—
771C2×C73C22×H(5,𝔽2)11yescharacteristic
772C2×C73C2×#58512yes—
773D73—41no—
774D73—41no—
775D73—44no—
776D73—44no—
777D73—44no—
778#3551—734no—
779#3550—731no—
780#3549—731no—
781#3548—732no—
782#3547—734no—
783#3546—734no—
784#3545—734no—
785#3544—731no—
786#3544D7311yescharacteristic, complemented
787#3543—732no—
788#3542—734no—
789#3542—734no—
790#3529—734no—
791#3483—731no—
792#3483—731no—
793#3481—732no—
794#3475—734no—
795D4×#41—734no—
796#3460—734no—
797#3460—734no—
798#3449—734no—
799#3444—732no—
800C2×#532—731no—
801C73#6275911yescharacteristic, complemented, Sylow
802C22×#41—734no—
803C22×#41—732no—
804#563—734no—
805#563—734no—
806#563C2×D7314yescomplemented
807#562—738no—
808#562—738no—
809#562—738no—
810H(3,𝔽4)—734no—
811#560—738no—
812#560—738no—
813#560—738no—
814#559—732no—
815Q82—731no—
816Q82C2×D7311yescharacteristic, complemented
817#556—734no—
818#555—734no—
819#555—731no—
820#555—734no—
821#555—734no—
822#555—734no—
823#555—734no—
824#555C2×D7311yescharacteristic, complemented
825#554—732no—
826#554—734no—
827#554C2×D7312yescomplemented
828#553—738no—
829#553—734no—
830#553—734no—
831#552—738no—
832#552—734no—
833#552C2×D7314yescomplemented
834#551—738no—
835#551—738no—
836#551—738no—
837#550—734no—
838#550—734no—
839#550—732no—
840#550—734no—
841#550—732no—
842D4×Q8—734no—
843#548—738no—
844#547—734no—
845#547—734no—
846#547—734no—
847#547C2×D7314yescomplemented
848#546—738no—
849#546—738no—
850#546—738no—
851#546—734no—
852#546—734no—
853#546—734no—
854#546—734no—
855D42—734no—
856D42—734no—
857D42—734no—
858D42—732no—
859#544—734no—
860#544C2×D7314yescomplemented
861#542—734no—
862#542—734no—
863#542—738no—
864#542—738no—
865#542—734no—
866#542C2×D7314yescomplemented
867#540—734no—
868#540—738no—
869#540—734no—
870#540—738no—
871#540—734no—
872#540—734no—
873#538—738no—
874#538—738no—
875#538—738no—
876#538—738no—
877#537—738no—
878#537—738no—
879#537—734no—
880#537—734no—
881#536—734no—
882#536—734no—
883#536—734no—
884#536C2×D7314yescomplemented
885#535—734no—
886#535—734no—
887#535—734no—
888#535—734no—
889#535—734no—
890#535—734no—
891#535—734no—
892#535—734no—
893#534—738no—
894#534—738no—
895#533—732no—
896#533—732no—
897#533—732no—
898#532—731no—
899#532—731no—
900#532—734no—
901#532—731no—
902#532—732no—
903#532—734no—
904#532—731no—
905#532—732no—
906#532—734no—
907#532—734no—
908#532—734no—
909#532—732no—
910#532—734no—
911#532—734no—
912#532—732no—
913#532—734no—
914#532—732no—
915C2×C4⋊Q8C2×D7311yescharacteristic, complemented
916C2×#127—731no—
917#529—734no—
918#529—734no—
919#529—738no—
920#529—732no—
921#529—734no—
922#529—738no—
923#529—732no—
924#529—734no—
925#529—734no—
926#529—734no—
927#529—732no—
928#529C2×D7312yescomplemented
929C2×#124—732no—
930#525—734no—
931#525—738no—
932#525—738no—
933#525—732no—
934#525—738no—
935#525—738no—
936#525—738no—
937#525—732no—
938#525—734no—
939C2×#121—734no—
940C4×#41—732no—
941C4×#41—734no—
942C4×#41—734no—
943C4×#41—732no—
944C4×#41—734no—
945C4×#41—734no—
946C2×C4×D4—734no—
947C2×C4×D4—734no—
948C2×C4×D4—734no—
949C2×#117—734no—
950C22×C42—731no—
951C2×#41—29216no—
952C2×#41—2928no—
953C2×#41—732no—
954C2×#41—734no—
955C2×#41—732no—
956C2×#41—734no—
957C2×#41—734no—
958C2×#41—732no—
959C2×#41—732no—
960C2×#41—734no—
961C2×#41—732no—
962C2×#41—732no—
963C2×#41—734no—
964C2×#41—734no—
965C2×#41—734no—
966C2×#41—734no—
967C2×#41—734no—
968C2×#41—738no—
969C2×#41C22×D7314yes—
970C22×Q8—734no—
971C22×Q8C22×D7312yes—
972C22×D4—734no—
973C22×D4—738no—
974C22×D4—734no—
975C22×D4—734no—
976C22×D4—734no—
977C22×D4—734no—
978C22×D4—732no—
979C23×C4—738no—
980C23×C4—732no—
981C23×C4—734no—
982C23×C4—731no—
983C4⋊Q8—732no—
984C4⋊Q8—734no—
985C4⋊Q8—734no—
986C4⋊Q8—732no—
987C4⋊Q8—732no—
988C4⋊Q8—734no—
989C4⋊Q8C22×D7314yes—
990C4⋊Q8C22×D7311yescharacteristic
991C4⋊Q8C22×D7311yescharacteristic
992C4⋊Q8C22×D7312yes—
993C4⋊Q8C22×D7314yes—
994C4⋊Q8C22×D7314yes—
995C4⋊Q8C22×D7314yes—
996#127—732no—
997#127—734no—
998#127—734no—
999#127—734no—
1000#127—734no—
1001#127—731no—
1002#127—731no—
1003#127—732no—
1004#127—734no—
1005#127—734no—
1006#127—734no—
1007#126—734no—
1008#126—738no—
1009#126—738no—
1010#126—738no—
1011#126—738no—
1012#126—734no—
1013#126—734no—
1014#126—738no—
1015#126C22×D7314yes—
1016#126C22×D7318yes—
1017#125—734no—
1018#125—734no—
1019#125—738no—
1020#125—734no—
1021#125—732no—
1022#125C22×D7312yes—
1023#125C22×D7318yes—
1024#125C22×D7314yes—
1025#124—738no—
1026#124—732no—
1027#124—732no—
1028#124—732no—
1029#124—732no—
1030#124—734no—
1031#124—734no—
1032#124—734no—
1033#124—734no—
1034#124—734no—
1035#124—738no—
1036#124—734no—
1037#124—734no—
1038#124—738no—
1039#124—738no—
1040#124—732no—
1041#124—734no—
1042#124—738no—
1043#124—734no—
1044#124—734no—
1045#124C22×D7312yes—
1046#124C22×D7314yes—
1047#124C22×D7314yes—
1048#123—734no—
1049#123—738no—
1050#123—738no—
1051#123—734no—
1052#123—734no—
1053#123—738no—
1054#123—738no—
1055#123—738no—
1056#123—738no—
1057#123—738no—
1058#123—738no—
1059#123—738no—
1060#123—738no—
1061#123—738no—
1062#123—738no—
1063#123—734no—
1064#123—734no—
1065#123—738no—
1066#123—738no—
1067#123C22×D7314yes—
1068#123C22×D7318yes—
1069#123C22×D7318yes—
1070C22⋊Q8—732no—
1071C22⋊Q8—738no—
1072C22⋊Q8—738no—
1073C22⋊Q8—738no—
1074C22⋊Q8—732no—
1075C22⋊Q8—734no—
1076C22⋊Q8—734no—
1077C22⋊Q8—732no—
1078C22⋊Q8—734no—
1079C22⋊Q8—738no—
1080C22⋊Q8—738no—
1081C22⋊Q8—738no—
1082C22⋊Q8—738no—
1083C22⋊Q8—734no—
1084C22⋊Q8—738no—
1085C22⋊Q8—738no—
1086C22⋊Q8—734no—
1087C22⋊Q8C22×D7312yes—
1088C22⋊Q8C22×D7318yes—
1089C22⋊Q8C22×D7318yes—
1090C22⋊Q8C22×D7318yes—
1091C22⋊Q8C22×D7314yes—
1092#121—732no—
1093#121—734no—
1094#121—738no—
1095#121—732no—
1096#121—738no—
1097#121—738no—
1098#121—738no—
1099#121—734no—
1100#121—734no—
1101#121—734no—
1102#121—734no—
1103#121—738no—
1104#121—734no—
1105#121—734no—
1106#121—738no—
1107#121—732no—
1108#121—738no—
1109#121—738no—
1110#121—738no—
1111#121—734no—
1112#121—738no—
1113#121—738no—
1114#121—738no—
1115#121—738no—
1116#121—738no—
1117#121—734no—
1118#121—734no—
1119#121—738no—
1120#121—734no—
1121#121—734no—
1122#121—734no—
1123#121—738no—
1124#121—738no—
1125#121—738no—
1126#121—738no—
1127#121—738no—
1128#121—738no—
1129#121—738no—
1130#121—738no—
1131#121—738no—
1132#121C22×D7312yes—
1133#121C22×D7314yes—
1134#120—734no—
1135#120—738no—
1136#120—738no—
1137#120—734no—
1138#120—738no—
1139#120—738no—
1140#120—738no—
1141#120—738no—
1142#120—738no—
1143#120—738no—
1144#120—738no—
1145#120—738no—
1146C4×Q8—732no—
1147C4×Q8—732no—
1148C4×Q8—734no—
1149C4×Q8—734no—
1150C4×Q8—734no—
1151C4×Q8—734no—
1152C4×Q8—734no—
1153C4×Q8—732no—
1154C4×Q8C22×D7312yes—
1155C4×Q8C22×D7314yes—
1156C4×D4—732no—
1157C4×D4—734no—
1158C4×D4—738no—
1159C4×D4—734no—
1160C4×D4—734no—
1161C4×D4—734no—
1162C4×D4—734no—
1163C4×D4—732no—
1164C4×D4—734no—
1165C4×D4—738no—
1166C4×D4—738no—
1167C4×D4—734no—
1168C4×D4—738no—
1169C4×D4—734no—
1170C4×D4—734no—
1171C4×D4—734no—
1172C4×D4—738no—
1173C4×D4—738no—
1174C4×D4—734no—
1175C4×D4—734no—
1176C4×D4—734no—
1177C4×D4—734no—
1178C4×D4—738no—
1179C4×D4—734no—
1180C4×D4—734no—
1181C4×D4—734no—
1182C4×D4—738no—
1183C4×D4—734no—
1184C4×D4—734no—
1185C4×D4—734no—
1186C4×D4—734no—
1187C4×D4—738no—
1188C4×D4—734no—
1189C4×D4—734no—
1190C4×D4—732no—
1191C4×D4—738no—
1192C4×D4—734no—
1193C4×D4C22×D7314yes—
1194C4×D4C22×D7314yes—
1195C4×D4C22×D7312yes—
1196#117—734no—
1197#117—738no—
1198#117—734no—
1199#117—732no—
1200#117—732no—
1201#117—734no—
1202#117—734no—
1203#117—738no—
1204#117—734no—
1205#117—734no—
1206#117—734no—
1207#117—734no—
1208#117—734no—
1209#117—734no—
1210#117—734no—
1211#117—738no—
1212#117C22×D7314yes—
1213#117C22×D7314yes—
1214#117C22×D7314yes—
1215C2×C4⋊C4—738no—
1216C2×C4⋊C4—734no—
1217C2×C4⋊C4C22×D7314yes—
1218C2×C4⋊C4C22×D7314yes—
1219C2×C22⋊C4—738no—
1220C2×C22⋊C4—738no—
1221C2×C22⋊C4—738no—
1222C2×C22⋊C4—738no—
1223C2×C42—732no—
1224C2×C42—734no—
1225C2×C42—731no—
1226C2×C42—734no—
1227C2×C42—734no—
1228C2×C42—734no—
1229C2×C42—731no—
1230C2×C42—732no—
1231C2×C42—731no—
1232C2×C42—731no—
1233C2×C42—732no—
1234C2×C42—731no—
1235C2×C42C22×D7311yescharacteristic
1236C24—738no—
1237C24—734no—
1238C24—731no—
1239#41—48no—
1240#41—2928no—
1241#41—2928no—
1242#41—2928no—
1243#41—29216no—
1244#41—2924no—
1245#41—2924no—
1246#41—2928no—
1247#41—2928no—
1248#41—2924no—
1249#41—2928no—
1250#41—2928no—
1251#41—2924no—
1252#41—2928no—
1253#41—2924no—
1254#41—2924no—
1255#41—14616no—
1256C2×Q8—44no—
1257C2×Q8—2928no—
1258C2×Q8—734no—
1259C2×Q8—734no—
1260C2×Q8—732no—
1261C2×Q8—734no—
1262C2×Q8C23×D7312yes—
1263C2×Q8C23×D7312yes—
1264C2×Q8C23×D7314yes—
1265C2×Q8C23×D7314yes—
1266C2×Q8C23×D7312yes—
1267C2×D4—2924no—
1268C2×D4—2928no—
1269C2×D4—2928no—
1270C2×D4—2928no—
1271C2×D4—29216no—
1272C2×D4—2928no—
1273C2×D4—2928no—
1274C2×D4—734no—
1275C2×D4—738no—
1276C2×D4—734no—
1277C2×D4—738no—
1278C2×D4—734no—
1279C2×D4—738no—
1280C2×D4—734no—
1281C2×D4—734no—
1282C2×D4—738no—
1283C2×D4—734no—
1284C2×D4—734no—
1285C2×D4—738no—
1286C2×D4—738no—
1287C2×D4—732no—
1288C2×D4—734no—
1289C2×D4—734no—
1290C2×D4—734no—
1291C2×D4—734no—
1292C2×D4—738no—
1293C2×D4—734no—
1294C2×D4—734no—
1295C2×D4—732no—
1296C2×D4—734no—
1297C2×D4—732no—
1298C2×D4—734no—
1299C2×D4C23×D7312yes—
1300C2×D4C23×D7314yes—
1301C2×D4C23×D7314yes—
1302C22×C4—2924no—
1303C22×C4—29216no—
1304C22×C4—732no—
1305C22×C4—734no—
1306C22×C4—732no—
1307C22×C4—732no—
1308C22×C4—734no—
1309C22×C4—738no—
1310C22×C4—738no—
1311C22×C4—738no—
1312C22×C4—738no—
1313C22×C4—731no—
1314C22×C4—734no—
1315C22×C4—732no—
1316C22×C4—732no—
1317C22×C4—734no—
1318C22×C4—731no—
1319C22×C4—731no—
1320C22×C4—731no—
1321C22×C4—731no—
1322C22×C4—734no—
1323C22×C4—734no—
1324C22×C4—734no—
1325C22×C4—734no—
1326C22×C4—734no—
1327C22×C4—1464no—
1328C22×C4—14616no—
1329C22×C4C23×D7312yes—
1330C22×C4C23×D7311yescharacteristic
1331C22×C4C23×D7314yes—
1332C22×C4C23×D7314yes—
1333C22×C4C23×D7318yes—
1334C4⋊C4—734no—
1335C4⋊C4—734no—
1336C4⋊C4—738no—
1337C4⋊C4—734no—
1338C4⋊C4—734no—
1339C4⋊C4—734no—
1340C4⋊C4—738no—
1341C4⋊C4—734no—
1342C4⋊C4—734no—
1343C4⋊C4—734no—
1344C4⋊C4—734no—
1345C4⋊C4—734no—
1346C4⋊C4—732no—
1347C4⋊C4—738no—
1348C4⋊C4—732no—
1349C4⋊C4—734no—
1350C4⋊C4—734no—
1351C4⋊C4C23×D7314yes—
1352C4⋊C4C23×D7318yes—
1353C4⋊C4C23×D7312yes—
1354C4⋊C4C23×D7314yes—
1355C4⋊C4C23×D7318yes—
1356C4⋊C4C23×D7318yes—
1357C4⋊C4C23×D7312yes—
1358C4⋊C4C23×D7318yes—
1359C4⋊C4C23×D7314yes—
1360C4⋊C4C23×D7314yes—
1361C4⋊C4C23×D7314yes—
1362C4⋊C4C23×D7314yes—
1363C22⋊C4—734no—
1364C22⋊C4—734no—
1365C22⋊C4—734no—
1366C22⋊C4—738no—
1367C22⋊C4—734no—
1368C22⋊C4—738no—
1369C22⋊C4—738no—
1370C22⋊C4—738no—
1371C22⋊C4—738no—
1372C22⋊C4—738no—
1373C22⋊C4—738no—
1374C22⋊C4—738no—
1375C22⋊C4—738no—
1376C22⋊C4—734no—
1377C22⋊C4—738no—
1378C22⋊C4—734no—
1379C22⋊C4—734no—
1380C22⋊C4—734no—
1381C22⋊C4—734no—
1382C22⋊C4—734no—
1383C22⋊C4—738no—
1384C22⋊C4—734no—
1385C22⋊C4—738no—
1386C22⋊C4—734no—
1387C22⋊C4—734no—
1388C22⋊C4C23×D7314yes—
1389C22⋊C4C23×D7318yes—
1390C22⋊C4C23×D7314yes—
1391C22⋊C4C23×D7314yes—
1392C22⋊C4C23×D7314yes—
1393C22⋊C4C23×D7314yes—
1394C22⋊C4C23×D7318yes—
1395C42—732no—
1396C42—731no—
1397C42—732no—
1398C42—734no—
1399C42—734no—
1400C42—732no—
1401C42—732no—
1402C42—732no—
1403C42—731no—
1404C42—734no—
1405C42—734no—
1406C42—734no—
1407C42—734no—
1408C42—734no—
1409C42C23×D7312yes—
1410C42C23×D7311yescharacteristic
1411C42C23×D7311yescharacteristic
1412C42C23×D7314yes—
1413C42C23×D7314yes—
1414C42C23×D7314yes—
1415C23—2922no—
1416C23—2928no—
1417C23—2928no—
1418C23—2928no—
1419C23—2928no—
1420C23—734no—
1421C23—734no—
1422C23—734no—
1423C23—731no—
1424C23—731no—
1425C23—1462no—
1426C23—1468no—
1427C23C24×D7314yes—
1428C23C24×D7311yescharacteristic
1429Q8—24no—
1430Q8—42no—
1431Q8—44no—
1432Q8—42no—
1433Q8—44no—
1434Q8—2924no—
1435Q8—2924no—
1436Q8—1468no—
1437Q8—1464no—
1438D4—28no—
1439D4—24no—
1440D4—44no—
1441D4—2924no—
1442D4—2924no—
1443D4—2924no—
1444D4—2924no—
1445D4—2924no—
1446D4—2922no—
1447D4—2924no—
1448D4—2922no—
1449D4—2928no—
1450D4—2928no—
1451D4—2928no—
1452D4—2924no—
1453D4—2928no—
1454D4—2924no—
1455D4—2928no—
1456D4—2928no—
1457D4—2928no—
1458D4—2924no—
1459D4—2924no—
1460D4—2924no—
1461D4—1468no—
1462D4—1468no—
1463D4—1468no—
1464D4—1464no—
1465D4—1468no—
1466C2×C4—22no—
1467C2×C4—28no—
1468C2×C4—24no—
1469C2×C4—28no—
1470C2×C4—48no—
1471C2×C4—2928no—
1472C2×C4—2928no—
1473C2×C4—2922no—
1474C2×C4—2922no—
1475C2×C4—2928no—
1476C2×C4—2924no—
1477C2×C4—2928no—
1478C2×C4—2922no—
1479C2×C4—2924no—
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—1468no—
1489C2×C4—1468no—
1490C2×C4—1468no—
1491C2×C4—1468no—
1492C2×C4—1468no—
1493C2×C4—1462no—
1494C2×C4—1462no—
1495C2×C4—1462no—
1496C2×C4—1462no—
1497C2×C4—1468no—
1498C2×C4—1464no—
1499C2×C4—1464no—
1500C2×C4—1468no—
1501C2×C4C24×D7314yes—
1502C2×C4C24×D7314yes—
1503C2×C4C24×D7312yes—
1504C2×C4C24×D7311yescharacteristic
1505C2×C4C24×D7311yescharacteristic
1506C2×C4C24×D7314yes—
1507C2×C4C24×D7314yes—
1508C2×C4C24×D7314yes—
1509C2×C4C24×D7312yes—
1510C22—22no—
1511C22—24no—
1512C22—24no—
1513C22—24no—
1514C22—2924no—
1515C22—5848no—
1516C22—58416no—
1517C22—1464no—
1518C22—1464no—
1519C22—1461no—
1520C22—1461no—
1521C22—1464no—
1522C22—1468no—
1523C22—1462no—
1524C22—1462no—
1525C22—1464no—
1526C22—1464no—
1527C22—1468no—
1528C22H(5,𝔽2)×D7312yes—
1529C22C25×D7311yescharacteristic
1530C4—24no—
1531C4—24no—
1532C4—21no—
1533C4—21no—
1534C4—24no—
1535C4—22no—
1536C4—24no—
1537C4—24no—
1538C4—732no—
1539C4—732no—
1540C4—1464no—
1541C4—1462no—
1542C4—1464no—
1543C4—1464no—
1544C4—1462no—
1545C4#1798942414yes—
1546C2—22no—
1547C2—44no—
1548C2—2921no—
1549C2—2921no—
1550C2—2924no—
1551C2—2924no—
1552C2—2924no—
1553C2C2×H(5,𝔽2)×D7311yescharacteristic
1554C2C2×#1798942412yes—
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3544C2
hypercenter#3544D73
hypocenterC73#62759
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3544

Complements

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

NH ≅ G/Ntype
1. #22624356C2semidirect
2. #22624337C2semidirect
3. #22624332C2semidirect
4. #22624330C2semidirect
5. #22624317C2semidirect
6. #22624300C2semidirect
7. #22624285C2semidirect
8. #22624275C2semidirect
9. #22624261C2semidirect
10. #22624248C2semidirect
11. #22624241C2semidirect
12. #22624072C2semidirect
13. #22623558C2semidirect
14. #22623556C2semidirect
15. #22623542C2semidirect
16. #22623496C2semidirect
17. #22623418C2semidirect
18. #22623354C2semidirect
19. #22623351C2semidirect
20. #22623263C2semidirect
21. #22623225C2semidirect
22. C2×#17989138C2semidirect
23. C73×#3544C2semidirect
24. C22×#11924029C22semidirect
25. C2×#41×D73C22semidirect
26. #17989336C22semidirect
27. #17989336C22semidirect
28. #17989335C22semidirect
29. #17989333C22semidirect
30. #17989333C22semidirect
31. #17989329C22semidirect
32. #17989328C22semidirect
33. #17989328C22semidirect
34. #17989327C22semidirect
35. #17989322C22semidirect
36. #17989317C22semidirect
37. #17989309C22semidirect
38. #17989303C22semidirect
39. #17989303C22semidirect
40. #17989303C22semidirect
41. #17989300C22semidirect
42. #17989300C22semidirect
43. #17989299C22semidirect
44. #17989298C22semidirect
45. #17989293C22semidirect
46. #17989290C22semidirect
47. #17989288C22semidirect
48. #17989285C22semidirect
49. #17989272C22semidirect
50. #17989269C22semidirect
51. #17989264C22semidirect
52. #17989261C22semidirect
53. #17989260C22semidirect
54. #17989259C22semidirect
55. #17989259C22semidirect
56. #17989258C22semidirect
57. #17989258C22semidirect
58. #17989255C22semidirect
59. #17989252C22semidirect
60. #17989247C22semidirect
61. #17989239C22semidirect
62. #17989238C22semidirect
63. #17989238C22semidirect
64. #17989233C22semidirect
65. #17989232C22semidirect
66. #17989229C22semidirect
67. #17989229C22semidirect
68. #17989228C22semidirect
69. #17989228C22semidirect
70. #17989225C22semidirect
71. D4×D292C22semidirect
72. D4×D292C22semidirect
73. #17989221C22semidirect
74. #17989221C22semidirect
75. #17989214C22semidirect
76. #17989211C22semidirect
77. #17989211C22semidirect
78. #17989211C22semidirect
79. #17989209C22semidirect
80. #17989207C22semidirect
81. #17989193C22semidirect
82. #17989193C22semidirect
83. #17989193C22semidirect
84. #17989192C22semidirect
85. #17989189C22semidirect
86. #17989188C22semidirect
87. #17989177C22semidirect
88. #17989177C22semidirect
89. #17989176C22semidirect
90. #17989171C22semidirect
91. #17989168C22semidirect
92. #17989167C22semidirect
93. #17989167C22semidirect
94. #17989167C22semidirect
95. #17989162C22semidirect
96. #17989162C22semidirect
97. #17989161C22semidirect
98. #17989156C22semidirect
99. #17989156C22semidirect
100. #17989156C22semidirect
101. #17989155C22semidirect
102. #17989155C22semidirect
103. #17989155C22semidirect
104. #17989153C22semidirect
105. #17989151C22semidirect
106. #17989148C22semidirect
107. #17989148C22semidirect
108. #17989143C22semidirect
109. #17989141C22semidirect
110. #17989139C22semidirect
113. #17989138C22semidirect
114. #17989138C22semidirect
115. #17989138C22semidirect
116. #17989138C22semidirect
117. #17989138C22semidirect
118. #17989138C22semidirect
119. #17989138C22semidirect
120. #17989138C22semidirect
121. #17989138C22semidirect
122. #17989136C22semidirect
123. #17989136C22semidirect
124. #17989136C22semidirect
125. #17989134C22semidirect
127. #17989132C22semidirect
129. #17989123C22semidirect
130. #17989122C22semidirect
131. #17989122C22semidirect
132. #17989122C22semidirect
133. #17989121C22semidirect
134. #17989120C22semidirect
135. #17989120C22semidirect
136. #17989120C22semidirect
137. #17989116C22semidirect
138. #17989115C22semidirect
139. #17989114C22semidirect
140. C2×#14556580C22semidirect
141. #17989100C22semidirect
142. #17989100C22semidirect
143. #17989100C22semidirect
144. #17989100C22semidirect
145. #17989097C22semidirect
146. #17989096C22semidirect
147. #17989095C22semidirect
148. #17989095C22semidirect
149. #17989095C22semidirect
150. C2×#14556566C22semidirect
151. C4×#11924029C22semidirect
152. C4×#11924029C22semidirect
153. #17989055C22semidirect
154. #17989055C22semidirect
155. C4×#11924027C22semidirect
156. C4×#11924027C22semidirect
157. C2×#14556553C22semidirect
158. C2×#14556553C22semidirect
159. C4×D4×D73C22semidirect
160. #117×D73C22semidirect
161. C2×C42×D73C22semidirect
162. #563×C73C22semidirect
163. Q82×C73C22semidirect
164. #555×C73C22semidirect
165. #554×C73C22semidirect
166. #552×C73C22semidirect
167. #547×C73C22semidirect
168. #544×C73C22semidirect
169. #542×C73C22semidirect
170. #536×C73C22semidirect
171. C2×C4⋊Q8×C73C22semidirect
172. #529×C73C22semidirect
786. #3544D73semidirect
801. C73#62759semidirect
806. #563C2×D73semidirect
816. Q82C2×D73semidirect
824. #555C2×D73semidirect
827. #554C2×D73semidirect
833. #552C2×D73semidirect
847. #547C2×D73semidirect
860. #544C2×D73semidirect
866. #542C2×D73semidirect
884. #536C2×D73semidirect
915. C2×C4⋊Q8C2×D73semidirect
928. #529C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243562
#226243372
#226243322
#226243302
#226243172
#226243002
#226242852
#226242752
#226242612
#226242482
#226242412
#226240722
#226235582
#226235562
#226235422
#226234962
#226234182
#226233542
#226233512
#226232632
#226232252
C2×#179891382
C73×#35442
#6275973