Finite Group Databasebeta

← #33993815

Subgroups — #33993815

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#22624354C214yesmaximal, complemented
2#22624343C211yesmaximal, characteristic, complemented
3#22624333C211yesmaximal, characteristic, complemented
4#22624330C212yesmaximal, complemented
5#22624315C214yesmaximal, complemented
6#22624298C214yesmaximal, complemented
7#22624284C214yesmaximal, complemented
8#22624272C212yesmaximal, complemented
9#22624265C211yesmaximal, characteristic, complemented
10#22624262C211yesmaximal, characteristic, complemented
11#22624250C214yesmaximal, complemented
12#22624245C214yesmaximal, complemented
13#22624069C214yesmaximal, complemented
14#22623557C212yesmaximal, complemented
15#22623539C211yesmaximal, characteristic, complemented
16#22623487C214yesmaximal, complemented
17D4×#11924028C214yesmaximal, complemented
18#22623353C214yesmaximal, complemented
19#22623352C214yesmaximal, complemented
20#22623261C214yesmaximal, complemented
21#22623224C212yesmaximal, complemented
22#532×D73C211yesmaximal, characteristic, complemented
23C73×#3481C211yesmaximal, characteristic, complemented
24C22×#11924028C2214yescomplemented
25C2×#41×D73C2212yescomplemented
26#17989340C2214yescomplemented
27#17989338C2218yescomplemented
28#17989334C2218yescomplemented
29#17989333C2218yescomplemented
30#17989332C2218yescomplemented
31#17989330C2214yescomplemented
32#17989327C2214yescomplemented
33#17989326C2214yescomplemented
34#17989326C2218yescomplemented
35#17989325C2218yescomplemented
36#17989323C2211yescharacteristic, complemented
37Q8×Dic146C2212yescomplemented
38#17989306C2214yescomplemented
39#17989302C2212yescomplemented
40#17989302C2214yescomplemented
41#17989301C2214yescomplemented
42#17989300C2218yescomplemented
43#17989300C2214yescomplemented
44#17989298C2212yescomplemented
45#17989293C2214yescomplemented
46#17989284C2214yescomplemented
47#17989282C2218yescomplemented
48#17989275C2214yescomplemented
49#17989273C2218yescomplemented
50#17989271C2214yescomplemented
51#17989267C2214yescomplemented
52#17989265C2218yescomplemented
53#17989262C2218yescomplemented
54#17989259C2212yescomplemented
55#17989258C2212yescomplemented
56#17989258C2214yescomplemented
57#17989258C2214yescomplemented
58#17989256C2214yescomplemented
59D4×Dic146C2214yescomplemented
60#17989246C2218yescomplemented
61#17989242C2214yescomplemented
62#17989239C2214yescomplemented
63#17989238C2214yescomplemented
64#17989238C2214yescomplemented
65#17989234C2214yescomplemented
66#17989234C2214yescomplemented
67#17989233C2218yescomplemented
68#17989230C2214yescomplemented
69#17989227C2218yescomplemented
70#17989227C2218yescomplemented
71D4×D292C2214yescomplemented
72#17989222C2211yescharacteristic, complemented
73D4×C22⋊D73C2214yescomplemented
74D4×C22⋊D73C2214yescomplemented
75#17989218C2214yescomplemented
76#17989217C2214yescomplemented
77#17989210C2214yescomplemented
78#17989206C2214yescomplemented
79#17989203C2218yescomplemented
80#17989202C2214yescomplemented
81#17989202C2218yescomplemented
82#17989202C2214yescomplemented
83#17989193C2214yescomplemented
84#17989190C2214yescomplemented
85#17989189C2218yescomplemented
86#17989188C2214yescomplemented
87#17989188C2214yescomplemented
88#17989188C2218yescomplemented
89#17989176C2218yescomplemented
90#17989175C2218yescomplemented
91#17989175C2218yescomplemented
92#17989173C2218yescomplemented
93#17989168C2214yescomplemented
94#17989167C2218yescomplemented
95#17989167C2214yescomplemented
96#17989166C2218yescomplemented
97#17989160C2218yescomplemented
98#17989159C2214yescomplemented
99#17989159C2214yescomplemented
100#17989155C2214yescomplemented
101#17989154C2214yescomplemented
102#17989154C2214yescomplemented
103#17989153C2218yescomplemented
104#17989153C2214yescomplemented
105#17989152C2214yescomplemented
106#17989152C2214yescomplemented
107#17989148C2214yescomplemented
108#17989148C2214yescomplemented
109#17989147C2214yescomplemented
110#17989147C2214yescomplemented
111#17989141C2212yescomplemented
112#17989141C2212yescomplemented
113#17989140C2212yescomplemented
114#17989138C2211yescharacteristic, complemented
115#17989137C2211yescharacteristic, complemented
116#17989137C2214yescomplemented
117#17989136C2212yescomplemented
118#17989135C2211yescharacteristic
119#17989134C2212yes—
120#17989134C2218yescomplemented
121#17989134C2218yescomplemented
122#17989134C2214yescomplemented
123#17989134C2212yescomplemented
124#17989134C2214yescomplemented
125#17989133C2212yescomplemented
126#17989133C2212yescomplemented
127#17989132C2214yescomplemented
128C4⋊Q8×D73C2211yescharacteristic, complemented
129#127×D73C2211yescharacteristic
130#17989124C2212yescomplemented
131#17989124C2212yescomplemented
132#17989119C2212yescomplemented
133#17989119C2214yescomplemented
134#17989119C2218yescomplemented
135#17989119C2212yescomplemented
136#17989117C2214yescomplemented
137#17989117C2214yescomplemented
138#17989115C2214yescomplemented
139#17989115C2218yescomplemented
140#17989115C2214yescomplemented
141#124×D73C2212yescomplemented
142#17989099C2214yescomplemented
143#17989099C2212yescomplemented
144#17989098C2214yescomplemented
145#17989098C2218yescomplemented
146#17989096C2214yescomplemented
147#17989096C2218yescomplemented
148#17989096C2218yescomplemented
149#17989096C2214yescomplemented
150#17989094C2214yescomplemented
151#17989094C2212yescomplemented
152#121×D73C2214yescomplemented
153C4×#11924029C2214yescomplemented
154C4×#11924028C2212yescomplemented
155C4×#11924028C2214yescomplemented
156C4×#11924028C2214yescomplemented
157C4×#11924028C2214yescomplemented
158C4×D4×D73C2214yescomplemented
159C4×D4×D73C2214yescomplemented
160#117×D73C2214yescomplemented
161C2×C42×D73C2211yescharacteristic, complemented
162#559×C73C2211yescharacteristic, complemented
163#554×C73C2212yescomplemented
164#553×C73C2214yescomplemented
165#551×C73C2214yescomplemented
166#546×C73C2214yescomplemented
167D42×C73C2211yescharacteristic, complemented
168#532×C73C2211yescharacteristic
169#529×C73C2214yescomplemented
170#525×C73C2214yescomplemented
171C4×#41×C73C2212yescomplemented
172C2×C4×D4×C73C2214yescomplemented
173C2×#11924029C2312yes—
174C2×#11924029C2314yes—
175C2×#11924028—416no—
176C2×#11924028C2314yes—
177C2×#11924028C2312yes—
178C2×#11924028C2312yes—
179C2×#11924028C2314yes—
180C2×#11924028C2318yes—
181C2×#11924028C2314yes—
182C2×#11924028C2318yes—
183C2×#11924028C2314yes—
184C2×#11924028C2318yes—
185C2×#11924027C2314yes—
186C2×#11924027C2312yes—
187#41×D73—48no—
188C22×Dic146C2314yes—
189C2×Q8×D73C2312yes—
190C22×D292C2314yes—
191C22×C22⋊D73C2314yes—
192C22×C22⋊D73C2314yes—
193C2×D4×D73C2312yes—
194C2×D4×D73C2314yes—
195C2×D4×D73C2314yes—
196C2×D4×D73C2314yes—
197C22×C4×D73C2311yescharacteristic
198C22×C4×D73C2314yes—
199C22×C4×D73C2314yes—
200C22×C4×D73C2312yes—
201#14556591C2311yescharacteristic
202#14556591C2314yes—
203#14556590C2314yes—
204#14556590C2312yes—
205#14556590C2312yes—
206#14556590C2318yes—
207#14556590C2318yes—
208#14556590C2314yes—
209#14556589C2312yes—
210#14556589C2312yes—
211#14556588C2311yescharacteristic
212#14556588C2314yes—
213#14556587C2314yes—
214#14556587C2312yes—
215#14556587C2312yes—
216#14556587C2318yes—
217#14556587C2318yes—
218#14556587C2314yes—
219#14556586C2314yes—
220#14556586C2314yes—
221#14556586C2318yes—
222#14556584C2318yes—
223#14556584C2314yes—
224#14556584C2318yes—
225#14556584C2318yes—
226#14556584C2318yes—
227#14556584C2314yes—
228#14556582C2312yes—
229#14556582C2312yes—
230#14556582C2314yes—
231#14556582C2318yes—
232#14556581C2314yes—
233#14556581C2314yes—
234#14556581C2318yes—
235#14556580C2312yes—
236#14556580C2312yes—
237#14556579C2312yes—
238#14556579C2318yes—
239#14556578C2312yes—
240#14556578C2312yes—
241#14556578C2314yes—
242#14556578C2318yes—
243#14556577C2318yes—
244#14556577C2314yes—
245#14556577C2318yes—
246#14556577C2318yes—
247#14556577C2318yes—
248#14556577C2318yes—
249#14556577C2318yes—
250#14556577C2314yes—
251#14556577C2318yes—
252#14556576C2314yes—
253#14556576C2314yes—
254#14556576C2318yes—
255#14556576C2318yes—
256#14556576C2318yes—
257#14556575C2314yes—
258#14556575C2314yes—
259#14556575C2314yes—
260#14556574C2314yes—
261#14556574C2314yes—
262#14556574C2318yes—
263#14556574C2318yes—
264#14556573C2314yes—
265#14556573C2318yes—
266#14556573C2314yes—
267#14556573C2318yes—
268#14556573C2318yes—
269#14556573C2318yes—
270#14556573C2318yes—
271#14556573C2318yes—
272#14556572C2314yes—
273#14556572C2314yes—
274#14556572C2314yes—
275#14556571C2312yes—
276#14556571C2312yes—
277#14556571C2318yes—
278#14556571C2314yes—
279#14556571C2318yes—
280#14556570C2318yes—
281#14556570C2318yes—
282#14556570C2318yes—
283#14556569C2314yes—
284#14556569C2314yes—
285#14556569C2318yes—
286#14556569C2318yes—
287#14556569C2318yes—
288#14556568C2314yes—
289#14556568C2314yes—
290#14556568C2318yes—
291#14556568C2318yes—
292#14556567C2312yes—
293#14556567C2312yes—
294#14556567C2318yes—
295#14556566C2312yes—
296#14556566C2312yes—
297#14556566C2314yes—
298#14556566C2318yes—
299#14556566C2318yes—
300#14556566C2314yes—
301#14556566C2318yes—
302#14556565C2314yes—
303#14556565C2314yes—
304#14556565C2314yes—
305#14556565C2318yes—
306#14556565C2318yes—
307#14556565C2318yes—
308#14556565C2318yes—
309#14556564C2314yes—
310#14556564C2318yes—
311#14556564C2318yes—
312#14556564C2318yes—
313#14556564C2318yes—
314#14556564C2318yes—
315#14556564C2314yes—
316#14556564C2318yes—
317#14556564C2318yes—
318#14556564C2318yes—
319#14556564C2318yes—
320#14556563C2318yes—
321#14556563C2314yes—
322#14556563C2314yes—
323#14556563C2318yes—
324#14556563C2318yes—
325#14556562C2312yes—
326#14556562C2314yes—
327#14556562C2318yes—
328#14556562C2318yes—
329#14556562C2312yes—
330#14556562C2314yes—
331#14556562C2318yes—
332#14556562C2314yes—
333#14556562C2318yes—
334#14556561C2314yes—
335#14556561C2314yes—
336#14556561C2314yes—
337#14556561C2318yes—
338#14556561C2318yes—
339#14556560C2314yes—
340#14556560C2314yes—
341#14556560C2318yes—
342#14556560C2318yes—
343#14556559C2314yes—
344#14556559C2318yes—
345#14556559C2314yes—
346#14556559C2314yes—
347#14556559C2318yes—
348Q8×Dic73C2314yes—
349C4×Dic146C2314yes—
350C4×Dic146C2314yes—
351C4×Dic146C2314yes—
352C4×Dic146C2312yes—
353C4×Dic146C2312yes—
354C4×Dic146C2314yes—
355C4×Dic146C2314yes—
356C4×D292C2312yes—
357C4×D292C2314yes—
358C4×D292C2312yes—
359C4×D292C2314yes—
360C4×D292C2314yes—
361C4×D292C2318yes—
362C4×D292C2314yes—
363C4×D292C2314yes—
364C4×D292C2314yes—
365D4×Dic73C2314yes—
366D4×Dic73C2314yes—
367#14556553C2314yes—
368#14556553C2318yes—
369#14556553C2314yes—
370#14556553C2314yes—
371C4×C22⋊D73C2318yes—
372C4×C22⋊D73C2314yes—
373C4×C22⋊D73C2314yes—
374C4×C22⋊D73C2314yes—
375C4×C22⋊D73C2314yes—
376C4×C22⋊D73C2318yes—
377C4×C22⋊D73C2314yes—
378C4×C22⋊D73C2314yes—
379C4×C22⋊D73C2318yes—
380C4×C22⋊D73C2314yes—
381C4×C22⋊D73C2318yes—
382C4×C22⋊D73C2314yes—
383C4×C22⋊D73C2314yes—
384C4×C22⋊D73C2314yes—
385#14556551C2318yes—
386#14556551C2318yes—
387#14556550C2312yes—
388#14556550C2314yes—
389#14556550C2314yes—
390#14556550C2314yes—
391#14556550C2314yes—
392#14556549C2318yes—
393#14556549C2314yes—
394#14556549C2318yes—
395#14556548C2314yes—
396#14556548C2314yes—
397#14556548C2314yes—
398#14556548C2314yes—
399#14556548C2318yes—
400#14556548C2314yes—
401#14556547C2314yes—
402#14556547C2314yes—
403C4⋊C4×D73C2314yes—
404C4⋊C4×D73C2318yes—
405C4⋊C4×D73C2314yes—
406C22⋊C4×D73C2314yes—
407C22⋊C4×D73C2314yes—
408C22⋊C4×D73C2318yes—
409C22⋊C4×D73C2318yes—
410C2×C4×Dic73C2312yes—
411C2×C4×Dic73C2311yescharacteristic
412C42×D73C2311yescharacteristic
413C42×D73C2312yes—
414C42×D73C2312yes—
415C42×D73C2311yescharacteristic
416C42×D73C2318yes—
417C42×D73C2314yes—
418C42×D73C2311yescharacteristic
419C42×D73C2311yescharacteristic
420C2×#41×C73C2312yes—
421C2×#41×C73C2312yes—
422C22×D4×C73C2314yes—
423C23×C4×C73C2314yes—
424C4⋊Q8×C73C2311yescharacteristic
425#127×C73C2311yescharacteristic
426#126×C73C2318yes—
427#125×C73C2314yes—
428#124×C73C2312yes—
429#124×C73C2314yes—
430#123×C73C2314yes—
431#123×C73C2314yes—
432#123×C73C2318yes—
433C22⋊Q8×C73C2318yes—
434C22⋊Q8×C73C2314yes—
435#121×C73C2314yes—
436#121×C73C2318yes—
437#121×C73C2314yes—
438#120×C73C2314yes—
439#120×C73C2314yes—
440C4×Q8×C73C2312yes—
441C4×Q8×C73C2312yes—
442C4×D4×C73C2312yes—
443C4×D4×C73C2314yes—
444C4×D4×C73C2318yes—
445C4×D4×C73C2314yes—
446C4×D4×C73C2312yes—
447C4×D4×C73C2314yes—
448C4×D4×C73C2318yes—
449C4×D4×C73C2314yes—
450C4×D4×C73C2314yes—
451#117×C73C2312yes—
452#117×C73C2314yes—
453#117×C73C2314yes—
454C2×C4⋊C4×C73C2314yes—
455C2×C22⋊C4×C73C2318yes—
456C2×C42×C73C2314yes—
457C2×C42×C73C2311yescharacteristic
458C23×D73C2414yes—
459C23×D73C2411yescharacteristic
460C23×D73C2414yes—
461#11924029—44no—
462#11924029—48no—
463#11924028—216no—
464#11924028—416no—
465#11924028—44no—
466#11924028—48no—
467#11924028—48no—
468#11924028—44no—
469#11924028—416no—
470#11924028—48no—
471#11924028—416no—
472#11924027—44no—
473#11924027—48no—
474C2×Dic146—48no—
475C2×Dic146C2412yes—
476C2×Dic146C2414yes—
477C2×Dic146C2414yes—
478C2×Dic146C2418yes—
479C2×Dic146C2414yes—
480C2×Dic146C2412yes—
481Q8×D73—44no—
482C2×D292—48no—
483C2×D292C2412yes—
484C2×D292C2414yes—
485C2×D292C2414yes—
486C2×D292C2418yes—
487C2×D292C2414yes—
488C2×D292C2418yes—
489C2×D292C2414yes—
490C2×D292C2412yes—
491C2×C22⋊D73—48no—
492C2×C22⋊D73—48no—
493C2×C22⋊D73C2414yes—
494C2×C22⋊D73C2414yes—
495C2×C22⋊D73C2418yes—
496C2×C22⋊D73C2418yes—
497C2×C22⋊D73C2414yes—
498C2×C22⋊D73C2414yes—
499C2×C22⋊D73C2414yes—
500C2×C22⋊D73C2418yes—
501C2×C22⋊D73C2418yes—
502C2×C22⋊D73C2414yes—
503C2×C22⋊D73C2414yes—
504C2×C22⋊D73C2418yes—
505C2×C22⋊D73C2414yes—
506D4×D73—48no—
507D4×D73—48no—
508D4×D73—44no—
509D4×D73—48no—
510C22×Dic73C2411yescharacteristic
511C22×Dic73C2414yes—
512C22×Dic73C2412yes—
513C22×Dic73C2414yes—
514C2×C4×D73—24no—
515C2×C4×D73—216no—
516C2×C4×D73—44no—
517C2×C4×D73—48no—
518C2×C4×D73C2412yes—
519C2×C4×D73C2412yes—
520C2×C4×D73C2411yescharacteristic
521C2×C4×D73C2414yes—
522C2×C4×D73C2411yescharacteristic
523C2×C4×D73C2411yescharacteristic
524C2×C4×D73C2414yes—
525C2×C4×D73C2414yes—
526C2×C4×D73C2414yes—
527C2×C4×D73C2414yes—
528C2×C4×D73C2412yes—
529C2×C4×D73C2412yes—
530C2×C4×D73C2414yes—
531C2×C4×D73C2418yes—
532C2×C4×D73C2418yes—
533C2×C4×D73C2418yes—
534C2×C4×D73C2411yescharacteristic
535C4⋊Dic73C2412yes—
536C4⋊Dic73C2414yes—
537C4⋊Dic73C2418yes—
538C4⋊Dic73C2418yes—
539C4⋊Dic73C2412yes—
540C4⋊Dic73C2414yes—
541C4⋊Dic73C2414yes—
542C4⋊Dic73C2414yes—
543C4⋊Dic73C2414yes—
544#11924007C2414yes—
545#11924007C2414yes—
546#11924007C2418yes—
547#11924007C2418yes—
548#11924007C2414yes—
549#11924007C2414yes—
550#11924007C2414yes—
551#11924007C2414yes—
552#11924007C2414yes—
553#11924007C2414yes—
554#11924007C2414yes—
555#11924007C2418yes—
556#11924007C2414yes—
557C22⋊Dic73C2414yes—
558C22⋊Dic73C2414yes—
559C22⋊Dic73C2418yes—
560C22⋊Dic73C2418yes—
561C22⋊Dic73C2414yes—
562C22⋊Dic73C2414yes—
563C22⋊Dic73C2418yes—
564C22⋊Dic73C2414yes—
565C22⋊Dic73C2414yes—
566C22⋊Dic73C2414yes—
567#11924005C2414yes—
568#11924005C2414yes—
569#11924005C2414yes—
570#11924005C2418yes—
571#11924005C2418yes—
572#11924005C2418yes—
573#11924005C2414yes—
574#11924005C2414yes—
575#11924005C2414yes—
576#11924005C2414yes—
577#11924005C2414yes—
578#11924005C2414yes—
579#11924005C2414yes—
580#11924005C2418yes—
581#11924005C2418yes—
582#11924005C2418yes—
583C4×Dic73C2414yes—
584C4×Dic73C2412yes—
585C4×Dic73C2412yes—
586C4×Dic73C2412yes—
587C4×Dic73C2412yes—
588C4×Dic73C2412yes—
589C4×Dic73C2411yescharacteristic
590C4×Dic73C2411yescharacteristic
591C4×Dic73C2418yes—
592C4×Dic73C2418yes—
593C4×Dic73C2414yes—
594C4×Dic73C2414yes—
595C24×C73C2414yes—
596#41×C73—44no—
597#41×C73—44no—
598C2×Q8×C73C2412yes—
599C2×Q8×C73C2412yes—
600C2×D4×C73—48no—
601C2×D4×C73C2412yes—
602C2×D4×C73C2414yes—
603C2×D4×C73C2414yes—
604C2×D4×C73C2418yes—
605C2×D4×C73C2412yes—
606C2×D4×C73C2414yes—
607C22×C4×C73—48no—
608C22×C4×C73C2414yes—
609C22×C4×C73C2412yes—
610C22×C4×C73C2414yes—
611C22×C4×C73C2411yescharacteristic
612C22×C4×C73C2414yes—
613C22×C4×C73C2414yes—
614C22×C4×C73C2418yes—
615C22×C4×C73C2414yes—
616C4⋊C4×C73C2412yes—
617C4⋊C4×C73C2414yes—
618C4⋊C4×C73C2418yes—
619C4⋊C4×C73C2412yes—
620C4⋊C4×C73C2414yes—
621C4⋊C4×C73C2414yes—
622C4⋊C4×C73C2418yes—
623C22⋊C4×C73C2414yes—
624C22⋊C4×C73C2418yes—
625C22⋊C4×C73C2418yes—
626C22⋊C4×C73C2418yes—
627C22⋊C4×C73C2414yes—
628C22⋊C4×C73C2414yes—
629C22⋊C4×C73C2414yes—
630C22⋊C4×C73C2414yes—
631C42×C73C2412yes—
632C42×C73C2411yescharacteristic
633C42×C73C2414yes—
634C42×C73C2414yes—
635C42×C73C2414yes—
636C42×C73C2411yescharacteristic
637C23×C73—44no—
638C23×C73—48no—
639C23×C73C2514yes—
640C23×C73C2514yes—
641C23×C73C2511yescharacteristic
642C22×D73—22no—
643C22×D73—28no—
644C22×D73—42no—
645C22×D73—44no—
646C22×D73—48no—
647C22×D73—48no—
648C22×D73C2514yes—
649C22×D73C2511yescharacteristic
650C22×D73C2514yes—
651C22×D73C2511yescharacteristic
652Q8×C73—24no—
653Q8×C73—42no—
654D4×C73—24no—
655D4×C73—28no—
656D4×C73—48no—
657D4×C73—44no—
658D4×C73—42no—
659D4×C73—44no—
660C2×C4×C73—28no—
661C2×C4×C73—28no—
662C2×C4×C73—22no—
663C2×C4×C73—28no—
664C2×C4×C73—24no—
665C2×C4×C73—44no—
666C2×C4×C73—48no—
667C2×C4×C73—44no—
668C2×C4×C73C2512yes—
669C2×C4×C73C2514yes—
670C2×C4×C73C2514yes—
671C2×C4×C73C2514yes—
672C2×C4×C73C2511yescharacteristic
673C2×C4×C73C2514yes—
674C2×C4×C73C2512yes—
675C2×C4×C73C2511yescharacteristic
676C22⋊D73—28no—
677C22⋊D73—28no—
678C22⋊D73—48no—
679C22⋊D73—48no—
680C22⋊D73—44no—
681C22⋊D73—44no—
682C22⋊D73—44no—
683C22⋊D73—48no—
684C22⋊D73—48no—
685C22⋊D73—48no—
686C22⋊D73—44no—
687C22⋊D73—44no—
688C22⋊D73—44no—
689C2×Dic73—28no—
690C2×Dic73—22no—
691C2×Dic73—42no—
692C2×Dic73—44no—
693C2×Dic73C2512yes—
694C2×Dic73C2514yes—
695C2×Dic73C2514yes—
696C2×Dic73C2512yes—
697C2×Dic73C2511yescharacteristic
698C2×Dic73C2514yes—
699C2×Dic73C2514yes—
700C2×Dic73C2511yescharacteristic
701D292—28no—
702D292—24no—
703D292—28no—
704D292—42no—
705D292—44no—
706D292—48no—
707D292—44no—
708D292—48no—
709C4×D73—22no—
710C4×D73—28no—
711C4×D73—22no—
712C4×D73—28no—
713C4×D73—28no—
714C4×D73—24no—
715C4×D73—24no—
716C4×D73—28no—
717C4×D73—22no—
718C4×D73—28no—
719C4×D73—42no—
720C4×D73—42no—
721C4×D73—48no—
722C4×D73—48no—
723C4×D73—44no—
724C4×D73—48no—
725C4×D73H(5,𝔽2)14yes—
726Dic146—24no—
727Dic146—28no—
728Dic146—42no—
729Dic146—44no—
730Dic146—48no—
731Dic146—44no—
732C22×C73—24no—
733C22×C73—21no—
734C22×C73—24no—
735C22×C73—22no—
736C22×C73—24no—
737C22×C73—28no—
738C22×C73—24no—
739C22×C73—88no—
740C22×C73C2611yescharacteristic
741C2×D73—22no—
742C2×D73—21no—
743C2×D73—24no—
744C2×D73—24no—
745C2×D73—22no—
746C2×D73—24no—
747C2×D73—28no—
748C2×D73—24no—
749C2×D73—44no—
750C2×D73—88no—
751C2×D73—88no—
752C2×D73C2×H(5,𝔽2)12yes—
753C4×C73—24no—
754C4×C73—21no—
755C4×C73—24no—
756C4×C73—24no—
757C4×C73—22no—
758C4×C73—24no—
759C4×C73C2×H(5,𝔽2)12yes—
760C4×C73#58514yes—
761Dic73—24no—
762Dic73—21no—
763Dic73—24no—
764Dic73—24no—
765Dic73—22no—
766Dic73—24no—
767Dic73—22no—
768Dic73C2×H(5,𝔽2)12yes—
769#62759—731nomaximal, Sylow
770C2×C73—41no—
771C2×C73—44no—
772C2×C73—44no—
773C2×C73C22×H(5,𝔽2)11yescharacteristic
774C2×C73C2×#58512yes—
775D73—22no—
776D73—41no—
777D73—44no—
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#3543—731no—
789#3542—734no—
790#3542—734no—
791#3529—734no—
792#3483—732no—
793#3481—731no—
794#3481D7311yescharacteristic, complemented
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—734no—
806#563—738no—
807#562—738no—
808#562—738no—
809#562—738no—
810H(3,𝔽4)—734no—
811#560—734no—
812#560—738no—
813#560—738no—
814#560—734no—
815#559—731no—
816#559C2×D7311yescharacteristic, complemented
817Q82—732no—
818#556—734no—
819#555—734no—
820#555—734no—
821#555—732no—
822#555—734no—
823#555—738no—
824#554—732no—
825#554—734no—
826#554C2×D7312yescomplemented
827#553—738no—
828#553—734no—
829#553C2×D7314yescomplemented
830#552—738no—
831#552—734no—
832#552—734no—
833#551—738no—
834#551—734no—
835#551—738no—
836#551C2×D7314yescomplemented
837#550—734no—
838#550—732no—
839#550—734no—
840#550—734no—
841#550—732no—
842D4×Q8—734no—
843#548—738no—
844#547—734no—
845#547—734no—
846#547—734no—
847#547—734no—
848#546—734no—
849#546—734no—
850#546—734no—
851#546—738no—
852#546—738no—
853#546—738no—
854#546C2×D7314yescomplemented
855D42—734no—
856D42—734no—
857D42—731no—
858D42—734no—
859D42C2×D7311yescharacteristic, complemented
860#544—734no—
861#544—734no—
862#542—738no—
863#542—734no—
864#542—734no—
865#542—734no—
866#542—734no—
867#542—738no—
868#540—734no—
869#540—738no—
870#540—734no—
871#540—734no—
872#540—738no—
873#540—734no—
874#538—738no—
875#538—738no—
876#538—738no—
877#538—738no—
878#537—738no—
879#537—734no—
880#537—738no—
881#537—734no—
882#536—734no—
883#536—734no—
884#536—738no—
885#535—734no—
886#535—734no—
887#535—734no—
888#535—738no—
889#535—734no—
890#535—734no—
891#535—734no—
892#534—734no—
893#534—734no—
894#534—734no—
895#534—734no—
896#533—732no—
897#533—732no—
898#533—732no—
899#532—732no—
900#532—732no—
901#532—731no—
902#532—731no—
903#532—732no—
904#532—734no—
905#532—732no—
906#532—734no—
907#532—732no—
908#532—738no—
909#532—738no—
910#532—734no—
911#532—731no—
912#532—734no—
913#532C2×D7311yescharacteristic
914C2×C4⋊Q8—731no—
915C2×#127—731no—
916#529—732no—
917#529—732no—
918#529—732no—
919#529—734no—
920#529—732no—
921#529—734no—
922#529—734no—
923#529—738no—
924#529—734no—
925#529—734no—
926#529—738no—
927#529C2×D7314yescomplemented
928C2×#124—732no—
929#525—732no—
930#525—734no—
931#525—734no—
932#525—738no—
933#525—734no—
934#525—734no—
935#525—738no—
936#525—738no—
937#525—732no—
938#525—734no—
939#525C2×D7314yescomplemented
940C2×#121—734no—
941C4×#41—734no—
942C4×#41—734no—
943C4×#41—734no—
944C4×#41—732no—
945C4×#41—734no—
946C4×#41C2×D7312yescomplemented
947C2×C4×D4—734no—
948C2×C4×D4—734no—
949C2×C4×D4C2×D7314yescomplemented
950C2×#117—734no—
951C22×C42—731no—
952C2×#41—29216no—
953C2×#41—2928no—
954C2×#41—734no—
955C2×#41—732no—
956C2×#41—732no—
957C2×#41—734no—
958C2×#41—734no—
959C2×#41—732no—
960C2×#41—734no—
961C2×#41—734no—
962C2×#41—738no—
963C2×#41—732no—
964C2×#41—738no—
965C2×#41—738no—
966C2×#41—734no—
967C2×#41C22×D7312yes—
968C2×#41C22×D7312yes—
969C22×Q8—732no—
970C22×Q8—734no—
971C22×D4—734no—
972C22×D4—734no—
973C22×D4—734no—
974C22×D4—734no—
975C22×D4—734no—
976C22×D4—732no—
977C22×D4—734no—
978C22×D4C22×D7314yes—
979C23×C4—734no—
980C23×C4—732no—
981C23×C4—734no—
982C23×C4—731no—
983C23×C4C22×D7314yes—
984C4⋊Q8—732no—
985C4⋊Q8—732no—
986C4⋊Q8—734no—
987C4⋊Q8—732no—
988C4⋊Q8—732no—
989C4⋊Q8—738no—
990C4⋊Q8—738no—
991C4⋊Q8—734no—
992C4⋊Q8—731no—
993C4⋊Q8—734no—
994C4⋊Q8C22×D7311yescharacteristic
995#127—734no—
996#127—732no—
997#127—732no—
998#127—738no—
999#127—738no—
1000#127—734no—
1001#127—731no—
1002#127—734no—
1003#127C22×D7311yescharacteristic
1004#126—734no—
1005#126—734no—
1006#126—738no—
1007#126—734no—
1008#126—734no—
1009#126—738no—
1010#126—738no—
1011#126—738no—
1012#126—738no—
1013#126C22×D7318yes—
1014#125—732no—
1015#125—732no—
1016#125—734no—
1017#125—734no—
1018#125—738no—
1019#125—738no—
1020#125—734no—
1021#125C22×D7314yes—
1022#124—732no—
1023#124—732no—
1024#124—732no—
1025#124—732no—
1026#124—734no—
1027#124—738no—
1028#124—738no—
1029#124—734no—
1030#124—734no—
1031#124—738no—
1032#124—738no—
1033#124—738no—
1034#124—738no—
1035#124—738no—
1036#124—738no—
1037#124—732no—
1038#124—738no—
1039#124C22×D7312yes—
1040#124C22×D7314yes—
1041#123—734no—
1042#123—734no—
1043#123—734no—
1044#123—734no—
1045#123—734no—
1046#123—738no—
1047#123—738no—
1048#123—734no—
1049#123—734no—
1050#123—738no—
1051#123—738no—
1052#123—738no—
1053#123—734no—
1054#123—734no—
1055#123—734no—
1056#123—734no—
1057#123—734no—
1058#123—738no—
1059#123—738no—
1060#123—738no—
1061#123—738no—
1062#123—738no—
1063#123—738no—
1064#123C22×D7314yes—
1065#123C22×D7314yes—
1066#123C22×D7318yes—
1067C22⋊Q8—732no—
1068C22⋊Q8—732no—
1069C22⋊Q8—738no—
1070C22⋊Q8—738no—
1071C22⋊Q8—738no—
1072C22⋊Q8—738no—
1073C22⋊Q8—734no—
1074C22⋊Q8—732no—
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—734no—
1084C22⋊Q8—734no—
1085C22⋊Q8—738no—
1086C22⋊Q8—738no—
1087C22⋊Q8C22×D7318yes—
1088C22⋊Q8C22×D7314yes—
1089#121—734no—
1090#121—738no—
1091#121—734no—
1092#121—732no—
1093#121—732no—
1094#121—734no—
1095#121—738no—
1096#121—738no—
1097#121—738no—
1098#121—734no—
1099#121—738no—
1100#121—738no—
1101#121—738no—
1102#121—734no—
1103#121—734no—
1104#121—738no—
1105#121—738no—
1106#121—738no—
1107#121—734no—
1108#121—734no—
1109#121—738no—
1110#121—734no—
1111#121—732no—
1112#121—732no—
1113#121—738no—
1114#121—738no—
1115#121—738no—
1116#121—734no—
1117#121—738no—
1118#121—734no—
1119#121—734no—
1120#121—738no—
1121#121—738no—
1122#121—738no—
1123#121—738no—
1124#121—738no—
1125#121—738no—
1126#121—738no—
1127#121—738no—
1128#121C22×D7314yes—
1129#121C22×D7318yes—
1130#121C22×D7314yes—
1131#120—734no—
1132#120—734no—
1133#120—738no—
1134#120—738no—
1135#120—734no—
1136#120—738no—
1137#120—734no—
1138#120—734no—
1139#120—738no—
1140#120—734no—
1141#120—734no—
1142#120—734no—
1143#120—738no—
1144#120—738no—
1145#120C22×D7314yes—
1146#120C22×D7314yes—
1147C4×Q8—734no—
1148C4×Q8—732no—
1149C4×Q8—734no—
1150C4×Q8—734no—
1151C4×Q8—734no—
1152C4×Q8—734no—
1153C4×Q8—732no—
1154C4×Q8—734no—
1155C4×Q8C22×D7312yes—
1156C4×Q8C22×D7312yes—
1157C4×D4—734no—
1158C4×D4—734no—
1159C4×D4—738no—
1160C4×D4—738no—
1161C4×D4—734no—
1162C4×D4—734no—
1163C4×D4—738no—
1164C4×D4—734no—
1165C4×D4—734no—
1166C4×D4—734no—
1167C4×D4—734no—
1168C4×D4—734no—
1169C4×D4—734no—
1170C4×D4—734no—
1171C4×D4—734no—
1172C4×D4—738no—
1173C4×D4—734no—
1174C4×D4—734no—
1175C4×D4—738no—
1176C4×D4—734no—
1177C4×D4—738no—
1178C4×D4—738no—
1179C4×D4—732no—
1180C4×D4—734no—
1181C4×D4—738no—
1182C4×D4—734no—
1183C4×D4—734no—
1184C4×D4—734no—
1185C4×D4—734no—
1186C4×D4—732no—
1187C4×D4—734no—
1188C4×D4C22×D7314yes—
1189C4×D4C22×D7312yes—
1190C4×D4C22×D7318yes—
1191C4×D4C22×D7314yes—
1192C4×D4C22×D7318yes—
1193C4×D4C22×D7314yes—
1194C4×D4C22×D7314yes—
1195C4×D4C22×D7314yes—
1196C4×D4C22×D7312yes—
1197#117—734no—
1198#117—734no—
1199#117—732no—
1200#117—734no—
1201#117—734no—
1202#117—738no—
1203#117—734no—
1204#117—738no—
1205#117—734no—
1206#117—734no—
1207#117—734no—
1208#117—734no—
1209#117—734no—
1210#117—734no—
1211#117—734no—
1212#117—738no—
1213#117C22×D7314yes—
1214#117C22×D7312yes—
1215#117C22×D7314yes—
1216C2×C4⋊C4—738no—
1217C2×C4⋊C4—734no—
1218C2×C4⋊C4—734no—
1219C2×C4⋊C4C22×D7314yes—
1220C2×C22⋊C4—734no—
1221C2×C22⋊C4—734no—
1222C2×C22⋊C4—738no—
1223C2×C22⋊C4—738no—
1224C2×C22⋊C4C22×D7318yes—
1225C2×C42—731no—
1226C2×C42—732no—
1227C2×C42—738no—
1228C2×C42—732no—
1229C2×C42—734no—
1230C2×C42—732no—
1231C2×C42—731no—
1232C2×C42—731no—
1233C2×C42—731no—
1234C2×C42—731no—
1235C2×C42C22×D7314yes—
1236C2×C42C22×D7311yescharacteristic
1237C24—734no—
1238C24—734no—
1239C24—731no—
1240C24C23×D7314yes—
1241#41—44no—
1242#41—44no—
1243#41—2924no—
1244#41—2928no—
1245#41—29216no—
1246#41—2928no—
1247#41—2924no—
1248#41—2928no—
1249#41—29216no—
1250#41—29216no—
1251#41—2928no—
1252#41—2924no—
1253#41—2928no—
1254#41—2924no—
1255#41—14616no—
1256C2×Q8—2928no—
1257C2×Q8—2924no—
1258C2×Q8—734no—
1259C2×Q8—734no—
1260C2×Q8—738no—
1261C2×Q8—732no—
1262C2×Q8—732no—
1263C2×Q8—734no—
1264C2×Q8C23×D7312yes—
1265C2×Q8C23×D7312yes—
1266C2×D4—48no—
1267C2×D4—2928no—
1268C2×D4—2928no—
1269C2×D4—2928no—
1270C2×D4—2928no—
1271C2×D4—2924no—
1272C2×D4—2928no—
1273C2×D4—2928no—
1274C2×D4—734no—
1275C2×D4—738no—
1276C2×D4—734no—
1277C2×D4—734no—
1278C2×D4—738no—
1279C2×D4—738no—
1280C2×D4—738no—
1281C2×D4—734no—
1282C2×D4—734no—
1283C2×D4—738no—
1284C2×D4—734no—
1285C2×D4—734no—
1286C2×D4—734no—
1287C2×D4—734no—
1288C2×D4—738no—
1289C2×D4—738no—
1290C2×D4—734no—
1291C2×D4—732no—
1292C2×D4—732no—
1293C2×D4—734no—
1294C2×D4—734no—
1295C2×D4C23×D7314yes—
1296C2×D4C23×D7312yes—
1297C2×D4C23×D7318yes—
1298C2×D4C23×D7314yes—
1299C2×D4C23×D7312yes—
1300C2×D4C23×D7314yes—
1301C22×C4—48no—
1302C22×C4—2924no—
1303C22×C4—2928no—
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—731no—
1313C22×C4—731no—
1314C22×C4—734no—
1315C22×C4—732no—
1316C22×C4—732no—
1317C22×C4—731no—
1318C22×C4—731no—
1319C22×C4—734no—
1320C22×C4—734no—
1321C22×C4—734no—
1322C22×C4—734no—
1323C22×C4—731no—
1324C22×C4—734no—
1325C22×C4—14616no—
1326C22×C4—1464no—
1327C22×C4C23×D7312yes—
1328C22×C4C23×D7314yes—
1329C22×C4C23×D7311yescharacteristic
1330C22×C4C23×D7314yes—
1331C22×C4C23×D7314yes—
1332C22×C4C23×D7314yes—
1333C22×C4C23×D7318yes—
1334C22×C4C23×D7314yes—
1335C4⋊C4—734no—
1336C4⋊C4—734no—
1337C4⋊C4—738no—
1338C4⋊C4—738no—
1339C4⋊C4—734no—
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—732no—
1349C4⋊C4—734no—
1350C4⋊C4—738no—
1351C4⋊C4—732no—
1352C4⋊C4—734no—
1353C4⋊C4—734no—
1354C4⋊C4—734no—
1355C4⋊C4—738no—
1356C4⋊C4—734no—
1357C4⋊C4C23×D7314yes—
1358C4⋊C4C23×D7318yes—
1359C4⋊C4C23×D7312yes—
1360C4⋊C4C23×D7318yes—
1361C4⋊C4C23×D7312yes—
1362C4⋊C4C23×D7314yes—
1363C4⋊C4C23×D7314yes—
1364C22⋊C4—734no—
1365C22⋊C4—734no—
1366C22⋊C4—738no—
1367C22⋊C4—738no—
1368C22⋊C4—734no—
1369C22⋊C4—734no—
1370C22⋊C4—738no—
1371C22⋊C4—734no—
1372C22⋊C4—734no—
1373C22⋊C4—734no—
1374C22⋊C4—734no—
1375C22⋊C4—734no—
1376C22⋊C4—734no—
1377C22⋊C4—738no—
1378C22⋊C4—738no—
1379C22⋊C4—738no—
1380C22⋊C4—734no—
1381C22⋊C4—734no—
1382C22⋊C4—738no—
1383C22⋊C4—734no—
1384C22⋊C4—734no—
1385C22⋊C4—734no—
1386C22⋊C4—734no—
1387C22⋊C4—738no—
1388C22⋊C4—738no—
1389C22⋊C4—734no—
1390C22⋊C4C23×D7318yes—
1391C22⋊C4C23×D7314yes—
1392C22⋊C4C23×D7314yes—
1393C22⋊C4C23×D7314yes—
1394C22⋊C4C23×D7318yes—
1395C22⋊C4C23×D7318yes—
1396C22⋊C4C23×D7314yes—
1397C22⋊C4C23×D7314yes—
1398C42—732no—
1399C42—732no—
1400C42—732no—
1401C42—732no—
1402C42—731no—
1403C42—731no—
1404C42—738no—
1405C42—734no—
1406C42—734no—
1407C42—738no—
1408C42—732no—
1409C42—734no—
1410C42C23×D7311yescharacteristic
1411C42C23×D7311yescharacteristic
1412C42C23×D7314yes—
1413C42C23×D7314yes—
1414C42C23×D7312yes—
1415C42C23×D7314yes—
1416C23—44no—
1417C23—48no—
1418C23—2922no—
1419C23—2924no—
1420C23—2928no—
1421C23—2928no—
1422C23—731no—
1423C23—734no—
1424C23—734no—
1425C23—731no—
1426C23—1462no—
1427C23—1468no—
1428C23C24×D7314yes—
1429C23C24×D7314yes—
1430C23C24×D7311yescharacteristic
1431Q8—24no—
1432Q8—42no—
1433Q8—2928no—
1434Q8—2924no—
1435Q8—2922no—
1436Q8—2924no—
1437Q8—1468no—
1438Q8—1464no—
1439D4—24no—
1440D4—28no—
1441D4—48no—
1442D4—44no—
1443D4—42no—
1444D4—44no—
1445D4—2928no—
1446D4—2924no—
1447D4—2922no—
1448D4—2924no—
1449D4—2928no—
1450D4—2928no—
1451D4—2928no—
1452D4—2924no—
1453D4—2924no—
1454D4—2924no—
1455D4—2928no—
1456D4—2928no—
1457D4—2924no—
1458D4—2928no—
1459D4—2924no—
1460D4—2924no—
1461D4—1468no—
1462D4—1468no—
1463D4—1468no—
1464D4—1464no—
1465D4—1468no—
1466C2×C4—28no—
1467C2×C4—28no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—28no—
1471C2×C4—44no—
1472C2×C4—48no—
1473C2×C4—44no—
1474C2×C4—2928no—
1475C2×C4—2922no—
1476C2×C4—2922no—
1477C2×C4—2924no—
1478C2×C4—2928no—
1479C2×C4—2928no—
1480C2×C4—2924no—
1481C2×C4—2922no—
1482C2×C4—731no—
1483C2×C4—734no—
1484C2×C4—732no—
1485C2×C4—734no—
1486C2×C4—734no—
1487C2×C4—732no—
1488C2×C4—731no—
1489C2×C4—734no—
1490C2×C4—734no—
1491C2×C4—1468no—
1492C2×C4—1462no—
1493C2×C4—1462no—
1494C2×C4—1468no—
1495C2×C4—1468no—
1496C2×C4—1462no—
1497C2×C4—1468no—
1498C2×C4—1462no—
1499C2×C4—1468no—
1500C2×C4—1464no—
1501C2×C4—1464no—
1502C2×C4—1468no—
1503C2×C4C24×D7312yes—
1504C2×C4C24×D7314yes—
1505C2×C4C24×D7314yes—
1506C2×C4C24×D7311yescharacteristic
1507C2×C4C24×D7314yes—
1508C2×C4C24×D7314yes—
1509C2×C4C24×D7312yes—
1510C2×C4C24×D7311yescharacteristic
1511C22—24no—
1512C22—24no—
1513C22—21no—
1514C22—22no—
1515C22—24no—
1516C22—24no—
1517C22—28no—
1518C22—88no—
1519C22—2924no—
1520C22—5848no—
1521C22—5848no—
1522C22—732no—
1523C22—1464no—
1524C22—1461no—
1525C22—1464no—
1526C22—1468no—
1527C22—1462no—
1528C22—1464no—
1529C22—1464no—
1530C22—1462no—
1531C22C25×D7311yescharacteristic
1532C4—24no—
1533C4—24no—
1534C4—21no—
1535C4—22no—
1536C4—24no—
1537C4—24no—
1538C4—732no—
1539C4—1464no—
1540C4—1461no—
1541C4—1464no—
1542C4—1464no—
1543C4—1462no—
1544C4—1464no—
1545C4—1462no—
1546C4H(5,𝔽2)×D7312yes—
1547C4#1798942314yes—
1548C2—44no—
1549C2—44no—
1550C2—41no—
1551C2—2921no—
1552C2—2924no—
1553C2—2924no—
1554C2—1462no—
1555C2C2×H(5,𝔽2)×D7311yescharacteristic
1556C2C2×#1798942312yes—
subgroupG/H
centerC2×C4C24×D73
commutator, socle, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC73×#3481C2
hypercenter#3481D73
hypocenterC73#62759
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ #3481

Complements

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

NH ≅ G/Ntype
1. #22624354C2semidirect
2. #22624343C2semidirect
3. #22624333C2semidirect
4. #22624330C2semidirect
5. #22624315C2semidirect
6. #22624298C2semidirect
7. #22624284C2semidirect
8. #22624272C2semidirect
9. #22624265C2semidirect
10. #22624262C2semidirect
11. #22624250C2semidirect
12. #22624245C2semidirect
13. #22624069C2semidirect
14. #22623557C2semidirect
15. #22623539C2semidirect
16. #22623487C2semidirect
17. D4×#11924028C2semidirect
18. #22623353C2semidirect
19. #22623352C2semidirect
20. #22623261C2semidirect
21. #22623224C2semidirect
22. #532×D73C2semidirect
23. C73×#3481C2semidirect
24. C22×#11924028C22semidirect
25. C2×#41×D73C22semidirect
26. #17989340C22semidirect
27. #17989338C22semidirect
28. #17989334C22semidirect
29. #17989333C22semidirect
30. #17989332C22semidirect
31. #17989330C22semidirect
32. #17989327C22semidirect
33. #17989326C22semidirect
34. #17989326C22semidirect
35. #17989325C22semidirect
36. #17989323C22semidirect
37. Q8×Dic146C22semidirect
38. #17989306C22semidirect
39. #17989302C22semidirect
40. #17989302C22semidirect
41. #17989301C22semidirect
42. #17989300C22semidirect
43. #17989300C22semidirect
44. #17989298C22semidirect
45. #17989293C22semidirect
46. #17989284C22semidirect
47. #17989282C22semidirect
48. #17989275C22semidirect
49. #17989273C22semidirect
50. #17989271C22semidirect
51. #17989267C22semidirect
52. #17989265C22semidirect
53. #17989262C22semidirect
54. #17989259C22semidirect
55. #17989258C22semidirect
56. #17989258C22semidirect
57. #17989258C22semidirect
58. #17989256C22semidirect
59. D4×Dic146C22semidirect
60. #17989246C22semidirect
61. #17989242C22semidirect
62. #17989239C22semidirect
63. #17989238C22semidirect
64. #17989238C22semidirect
65. #17989234C22semidirect
66. #17989234C22semidirect
67. #17989233C22semidirect
68. #17989230C22semidirect
69. #17989227C22semidirect
70. #17989227C22semidirect
71. D4×D292C22semidirect
72. #17989222C22semidirect
73. D4×C22⋊D73C22semidirect
74. D4×C22⋊D73C22semidirect
75. #17989218C22semidirect
76. #17989217C22semidirect
77. #17989210C22semidirect
78. #17989206C22semidirect
79. #17989203C22semidirect
80. #17989202C22semidirect
81. #17989202C22semidirect
82. #17989202C22semidirect
83. #17989193C22semidirect
84. #17989190C22semidirect
85. #17989189C22semidirect
86. #17989188C22semidirect
87. #17989188C22semidirect
88. #17989188C22semidirect
89. #17989176C22semidirect
90. #17989175C22semidirect
91. #17989175C22semidirect
92. #17989173C22semidirect
93. #17989168C22semidirect
94. #17989167C22semidirect
95. #17989167C22semidirect
96. #17989166C22semidirect
97. #17989160C22semidirect
98. #17989159C22semidirect
99. #17989159C22semidirect
100. #17989155C22semidirect
101. #17989154C22semidirect
102. #17989154C22semidirect
103. #17989153C22semidirect
104. #17989153C22semidirect
105. #17989152C22semidirect
106. #17989152C22semidirect
107. #17989148C22semidirect
108. #17989148C22semidirect
109. #17989147C22semidirect
110. #17989147C22semidirect
111. #17989141C22semidirect
112. #17989141C22semidirect
113. #17989140C22semidirect
114. #17989138C22semidirect
115. #17989137C22semidirect
116. #17989137C22semidirect
117. #17989136C22semidirect
120. #17989134C22semidirect
121. #17989134C22semidirect
122. #17989134C22semidirect
123. #17989134C22semidirect
124. #17989134C22semidirect
125. #17989133C22semidirect
126. #17989133C22semidirect
127. #17989132C22semidirect
128. C4⋊Q8×D73C22semidirect
130. #17989124C22semidirect
131. #17989124C22semidirect
132. #17989119C22semidirect
133. #17989119C22semidirect
134. #17989119C22semidirect
135. #17989119C22semidirect
136. #17989117C22semidirect
137. #17989117C22semidirect
138. #17989115C22semidirect
139. #17989115C22semidirect
140. #17989115C22semidirect
141. #124×D73C22semidirect
142. #17989099C22semidirect
143. #17989099C22semidirect
144. #17989098C22semidirect
145. #17989098C22semidirect
146. #17989096C22semidirect
147. #17989096C22semidirect
148. #17989096C22semidirect
149. #17989096C22semidirect
150. #17989094C22semidirect
151. #17989094C22semidirect
152. #121×D73C22semidirect
153. C4×#11924029C22semidirect
154. C4×#11924028C22semidirect
155. C4×#11924028C22semidirect
156. C4×#11924028C22semidirect
157. C4×#11924028C22semidirect
158. C4×D4×D73C22semidirect
159. C4×D4×D73C22semidirect
160. #117×D73C22semidirect
161. C2×C42×D73C22semidirect
162. #559×C73C22semidirect
163. #554×C73C22semidirect
164. #553×C73C22semidirect
165. #551×C73C22semidirect
166. #546×C73C22semidirect
167. D42×C73C22semidirect
169. #529×C73C22semidirect
170. #525×C73C22semidirect
171. C4×#41×C73C22semidirect
172. C2×C4×D4×C73C22semidirect
794. #3481D73semidirect
802. C73#62759semidirect
816. #559C2×D73semidirect
826. #554C2×D73semidirect
829. #553C2×D73semidirect
836. #551C2×D73semidirect
854. #546C2×D73semidirect
859. D42C2×D73semidirect
927. #529C2×D73semidirect
939. #525C2×D73semidirect
946. C4×#41C2×D73semidirect
949. C2×C4×D4C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243542
#226243432
#226243332
#226243302
#226243152
#226242982
#226242842
#226242722
#226242652
#226242622
#226242502
#226242452
#226240692
#226235572
#226235392
#226234872
D4×#119240282
#226233532
#226233522
#226232612
#226232242
#532×D732
C73×#34812
#6275973