Finite Group Databasebeta

← #33999736

Subgroups — #33999736

Order 18688.

6588 conjugacy classes of subgroups.

The subgroup lattice has 2248 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624468C212yesmaximal, complemented
2#22624467C214yesmaximal, complemented
3#22624465C211yesmaximal, characteristic, complemented
4#22624464C212yesmaximal, complemented
5#22624463C212yesmaximal, complemented
6#22624460C212yesmaximal, complemented
7#22624459C212yesmaximal, complemented
8#22624457C214yesmaximal, complemented
9#22624457C214yesmaximal, complemented
10#22624456C214yesmaximal, complemented
11#22624455C212yesmaximal, complemented
12#22624330C212yesmaximal, complemented
13#22624329C211yesmaximal, characteristic, complemented
14#22624328C214yesmaximal, complemented
15#22624327C212yesmaximal, complemented
16#22624326C214yesmaximal, complemented
17#22624325C212yesmaximal, complemented
18#22624077C212yesmaximal, complemented
19#22624076C211yesmaximal, characteristic, complemented
20#22623936C212yesmaximal, complemented
21#22623935C211yesmaximal, characteristic, complemented
22#22623933C212yesmaximal, complemented
23#22623930C212yesmaximal, complemented
24#22623930C212yesmaximal, complemented
25#22623929C211yesmaximal, characteristic, complemented
26#22623755C211yesmaximal, characteristic, complemented
27#22623754C212yesmaximal, complemented
28#22623751C212yesmaximal, complemented
29C73×#3559C211yesmaximal, characteristic, complemented
30C73⋊#564C2211yescharacteristic
31#17989341C2211yescharacteristic
32#17989341C2212yes—
33#17989340C2212yes—
34#17989339C2212yes—
35#17989339C2212yes—
36#17989339C2214yes—
37#17989339C2214yes—
38#17989338C2212yes—
39#17989338C2214yes—
40#17989337C2211yescharacteristic
41#17989336C2214yes—
42#17989335C2212yes—
43#17989334C2214yes—
44#17989334C2214yes—
45#17989334C2212yes—
46#17989334C2214yes—
47#17989334C2214yes—
48#17989333C2214yes—
49#17989333C2214yes—
50#17989333C2214yes—
51#17989332C2212yes—
52#17989332C2214yes—
53#17989331C2211yescharacteristic
54#17989331C2212yes—
55#17989331C2212yes—
56#17989315C2211yescharacteristic
57#17989314C2212yes—
58#17989314C2212yes—
59#17989314C2212yes—
60#17989312C2212yes—
61#17989312C2211yescharacteristic
62#17989298C2212yes—
63#17989298C2212yes—
64#17989296C2212yes—
65#17989296C2212yes—
66#17989295C2214yes—
67#17989295C2214yes—
68#17989295C2214yes—
69#17989294C2212yes—
70#17989293C2212yes—
71#17989293C2212yes—
72#17989293C2212yes—
73#17989293C2212yes—
74#17989292C2214yes—
75#17989292C2214yes—
76#17989292C2214yes—
77#17989291C2214yes—
78#17989291C2214yes—
79#17989291C2214yes—
80#17989291C2214yes—
81#17989290C2212yes—
82#17989289C2212yes—
83#17989288C2214yes—
84#17989288C2214yes—
85#17989288C2214yes—
86#17989286C2214yes—
87#17989286C2214yes—
88#17989286C2214yes—
89#17989285C2212yes—
90#17989285C2212yes—
91#17989284C2212yes—
92#17989283C2212yes—
93#17989282C2214yes—
94#17989282C2214yes—
95#17989282C2214yes—
96#17989281C2212yes—
97#17989281C2212yes—
98#17989280C2214yes—
99#17989259C2211yescharacteristic
100#17989258C2212yes—
101#17989258C2212yes—
102#17989258C2212yes—
103#17989258C2211yescharacteristic
104#17989258C2212yes—
105#17989257C2211yescharacteristic
106#17989257C2212yes—
107#17989257C2211yescharacteristic
108#17989256C2214yes—
109#17989256C2212yes—
110#17989255C2212yes—
111#17989255C2214yes—
112#17989255C2214yes—
113#17989255C2214yes—
114#17989255C2212yes—
115#17989255C2212yes—
116#17989255C2212yes—
117#17989242C2214yes—
118#17989242C2212yes—
119#17989241C2214yes—
120#17989241C2212yes—
121#17989241C2211yescharacteristic
122#17989240C2214yes—
123#17989240C2211yescharacteristic
124#17989239C2214yes—
125#17989239C2214yes—
126#17989239C2212yes—
127#17989239C2214yes—
128#17989238C2214yes—
129#17989238C2214yes—
130#17989238C2212yes—
131#17989238C2212yes—
132#17989237C2214yes—
133#17989237C2212yes—
134#17989236C2214yes—
135#17989236C2212yes—
136#17989235C2214yes—
137#17989235C2214yes—
138#17989235C2214yes—
139#17989235C2214yes—
140#17989235C2214yes—
141#17989235C2214yes—
142#17989235C2214yes—
143#17989218C2211yescharacteristic
144#17989218C2211yescharacteristic
145#17989217C2212yes—
146#17989217C2214yes—
147#17989217C2212yes—
148#17989217C2212yes—
149#17989216C2214yes—
150#17989216C2214yes—
151#17989215C2212yes—
152#17989214C2212yes—
153#17989214C2214yes—
154#17989193C2212yes—
155#17989193C2212yes—
156#17989192C2212yes—
157#17989190C2212yes—
158#17989190C2212yes—
159#17989190C2212yes—
160#17989190C2212yes—
161#17989189C2214yes—
162#17989189C2214yes—
163#17989189C2214yes—
164#17989189C2214yes—
165#17989189C2214yes—
166#17989189C2214yes—
167#17989188C2212yes—
168#17989188C2212yes—
169#17989187C2214yes—
170#17989187C2214yes—
171#17989187C2214yes—
172#17989187C2214yes—
173#17989186C2214yes—
174#17989185C2214yes—
175#17989185C2214yes—
176#17989185C2214yes—
177#17989184C2212yes—
178#17989183C2214yes—
179#17989181C2214yes—
180#17989181C2214yes—
181#17989180C2214yes—
182#17989180C2214yes—
183#17989179C2214yes—
184#17989179C2214yes—
185#17989178C2214yes—
186#17989178C2214yes—
187#17989168C2212yes—
188#17989168C2214yes—
189#17989167C2214yes—
190#17989167C2214yes—
191#17989167C2214yes—
192#17989167C2214yes—
193#17989166C2214yes—
194#17989166C2214yes—
195#17989166C2214yes—
196#17989166C2214yes—
197#17989165C2214yes—
198#17989165C2214yes—
199#17989164C2214yes—
200#17989164C2214yes—
201#17989164C2214yes—
202#17989144C2211yescharacteristic
203#17989143C2212yes—
204#17989142C2214yes—
205#17989141C2212yes—
206#17989140C2212yes—
207#17989139C2214yes—
208#17989138C2212yes—
209#17989137C2211yescharacteristic
210#17989136C2212yes—
211#17989136C2212yes—
212#17989134C2214yes—
213#17989134C2214yes—
214#17989134C2212yes—
215#17989133C2214yes—
216#17989132C2212yes—
217#17989132C2212yes—
218#17989132C2214yes—
219#17989123C2214yes—
220#17989122C2212yes—
221#17989121C2211yescharacteristic
222#17989120C2214yes—
223#17989120C2214yes—
224#17989119C2212yes—
225#17989117C2212yes—
226#17989117C2212yes—
227#17989116C2212yes—
228#17989115C2212yes—
229#17989114C2214yes—
230C2×#14556582C2212yes—
231C2×#14556581C2214yes—
232#125×D73C2212yes—
233#125×D73C2214yes—
234#125×D73C2212yes—
235#17989068C2212yes—
236#17989068C2211yescharacteristic
237#17989068C2211yescharacteristic
238#17989067C2212yes—
239#17989066C2212yes—
240#17989066C2212yes—
241C4×#11924028C2211yescharacteristic
242#17989055C2212yes—
243C4×#11924027C2212yes—
244#563×C73C2212yes—
245#562×C73C2212yes—
246#554×C73C2212yes—
247#553×C73C2212yes—
248#553×C73C2212yes—
249#547×C73C2214yes—
250#547×C73C2212yes—
251#544×C73C2212yes—
252#540×C73C2212yes—
253#539×C73C2212yes—
254#539×C73C2214yes—
255#537×C73C2212yes—
256#532×C73C2211yescharacteristic
257#529×C73C2211yescharacteristic
258C2×#125×C73C2211yescharacteristic
259C2×#11924029C2312yes—
260C2×#11924029C2312yes—
261C2×#11924029C2314yes—
262C2×#11924028C2312yes—
263C2×#11924028C2311yescharacteristic
264C2×#11924028C2314yes—
265C2×#11924028C2314yes—
266C2×#11924028C2314yes—
267C2×#11924028C2314yes—
268C2×#11924028C2314yes—
269C2×#11924028C2314yes—
270C2×#11924028C2312yes—
271C2×#11924027C2312yes—
272C2×#11924027C2314yes—
273C2×#11924027C2314yes—
274C2×#11924027C2314yes—
275C2×#11924027C2314yes—
276C2×#11924027C2312yes—
277C2×#11924027C2312yes—
278#14556591C2311yescharacteristic
279#14556591C2314yes—
280#14556591C2311yescharacteristic
281#14556591C2311yescharacteristic
282#14556590C2312yes—
283#14556590C2312yes—
284#14556590C2314yes—
285#14556590C2312yes—
286#14556590C2314yes—
287#14556590C2314yes—
288#14556590C2314yes—
289#14556590C2312yes—
290#14556590C2312yes—
291#14556590C2312yes—
292#14556590C2312yes—
293#14556590C2312yes—
294#14556589C2314yes—
295#14556589C2312yes—
296#14556589C2312yes—
297#14556589C2314yes—
298#14556589C2312yes—
299#14556588C2311yescharacteristic
300#14556588C2312yes—
301#14556587C2312yes—
302#14556587C2312yes—
303#14556587C2314yes—
304#14556587C2314yes—
305#14556587C2314yes—
306#14556587C2314yes—
307#14556587C2312yes—
308#14556587C2312yes—
309#14556587C2312yes—
310#14556586C2314yes—
311#14556586C2314yes—
312#14556586C2314yes—
313#14556586C2312yes—
314#14556586C2314yes—
315#14556586C2312yes—
316#14556586C2312yes—
317#14556585C2314yes—
318#14556585C2314yes—
319#14556585C2312yes—
320#14556584C2312yes—
321#14556584C2314yes—
322#14556584C2312yes—
323#14556584C2312yes—
324#14556584C2314yes—
325#14556584C2312yes—
326#14556584C2312yes—
327#14556583C2311yescharacteristic
328#14556583C2311yescharacteristic
329#14556583C2311yescharacteristic
330#14556583C2314yes—
331#14556583C2312yes—
332#14556582C2312yes—
333#14556582C2312yes—
334#14556582C2312yes—
335#14556582C2314yes—
336#14556582C2312yes—
337#14556582C2314yes—
338#14556582C2312yes—
339#14556582C2312yes—
340#14556582C2312yes—
341#14556582C2312yes—
342#14556582C2312yes—
343#14556582C2312yes—
344#14556582C2312yes—
345#14556581C2312yes—
346#14556581C2312yes—
347#14556581C2312yes—
348#14556581C2314yes—
349#14556581C2312yes—
350#14556581C2314yes—
351#14556581C2314yes—
352#14556581C2314yes—
353#14556581C2314yes—
354#14556581C2314yes—
355#14556581C2314yes—
356#14556581C2314yes—
357#14556581C2314yes—
358#14556581C2314yes—
359#14556581C2314yes—
360#14556581C2314yes—
361#14556581C2314yes—
362#14556581C2314yes—
363#14556581C2312yes—
364#14556580C2314yes—
365#14556579C2311yescharacteristic
366#14556579C2312yes—
367#14556578C2312yes—
368#14556577C2314yes—
369#14556577C2314yes—
370#14556577C2312yes—
371#14556577C2314yes—
372#14556577C2312yes—
373#14556577C2312yes—
374#14556576C2314yes—
375#14556576C2314yes—
376#14556576C2314yes—
377#14556576C2314yes—
378#14556576C2314yes—
379#14556576C2314yes—
380#14556576C2314yes—
381#14556576C2314yes—
382#14556576C2314yes—
383#14556576C2314yes—
384#14556576C2314yes—
385#14556576C2314yes—
386#14556576C2312yes—
387#14556575C2314yes—
388#14556575C2314yes—
389#14556575C2314yes—
390#14556575C2314yes—
391#14556575C2314yes—
392#14556575C2314yes—
393#14556575C2312yes—
394#14556575C2312yes—
395#14556574C2312yes—
396#14556574C2314yes—
397#14556574C2314yes—
398#14556574C2314yes—
399#14556574C2314yes—
400#14556573C2314yes—
401#14556573C2314yes—
402#14556573C2314yes—
403#14556573C2314yes—
404#14556573C2314yes—
405#14556573C2314yes—
406#14556573C2314yes—
407#14556573C2314yes—
408#14556573C2314yes—
409#14556573C2312yes—
410#14556573C2314yes—
411#14556573C2312yes—
412#14556573C2312yes—
413#14556572C2314yes—
414#14556572C2314yes—
415#14556572C2312yes—
416#14556572C2312yes—
417#14556571C2312yes—
418#14556571C2312yes—
419#14556571C2314yes—
420#14556571C2314yes—
421#14556571C2314yes—
422#14556571C2314yes—
423#14556571C2314yes—
424#14556571C2314yes—
425#14556571C2314yes—
426#14556571C2312yes—
427#14556570C2311yescharacteristic
428#14556570C2314yes—
429#14556570C2312yes—
430#14556570C2312yes—
431#14556570C2314yes—
432#14556570C2314yes—
433#14556570C2314yes—
434#14556570C2314yes—
435#14556569C2314yes—
436#14556569C2314yes—
437#14556569C2312yes—
438#14556569C2312yes—
439#14556569C2314yes—
440#14556569C2314yes—
441#14556569C2314yes—
442#14556569C2314yes—
443#14556569C2314yes—
444#14556569C2314yes—
445#14556569C2314yes—
446#14556569C2314yes—
447#14556569C2314yes—
448#14556569C2314yes—
449#14556569C2312yes—
450#14556568C2314yes—
451#14556568C2314yes—
452#14556568C2312yes—
453#14556568C2312yes—
454#14556568C2312yes—
455#14556568C2312yes—
456#14556568C2314yes—
457#14556568C2314yes—
458#14556568C2314yes—
459#14556568C2314yes—
460#14556568C2314yes—
461#14556568C2314yes—
462#14556568C2312yes—
463#14556568C2314yes—
464#14556568C2312yes—
465#14556567C2312yes—
466#14556567C2314yes—
467#14556567C2314yes—
468#14556567C2314yes—
469#14556567C2314yes—
470#14556567C2314yes—
471#14556567C2312yes—
472#14556566C2312yes—
473#14556566C2314yes—
474#14556566C2314yes—
475#14556566C2312yes—
476#14556566C2314yes—
477#14556566C2312yes—
478#14556566C2312yes—
479#14556566C2314yes—
480#14556566C2314yes—
481#14556566C2314yes—
482#14556566C2314yes—
483#14556565C2311yescharacteristic
484#14556565C2314yes—
485#14556565C2314yes—
486#14556565C2312yes—
487#14556565C2312yes—
488#14556565C2312yes—
489#14556565C2312yes—
490#14556565C2314yes—
491#14556565C2314yes—
492#14556565C2314yes—
493#14556565C2314yes—
494#14556565C2314yes—
495#14556564C2314yes—
496#14556564C2314yes—
497#14556564C2314yes—
498#14556564C2314yes—
499#14556564C2314yes—
500#14556564C2314yes—
501#14556564C2314yes—
502#14556564C2314yes—
503#14556564C2314yes—
504#14556564C2314yes—
505#14556564C2314yes—
506#14556564C2314yes—
507#14556564C2314yes—
508#14556564C2314yes—
509#14556564C2314yes—
510#14556564C2314yes—
511#14556564C2314yes—
512#14556564C2314yes—
513#14556564C2314yes—
514#14556564C2312yes—
515#14556563C2314yes—
516#14556563C2314yes—
517#14556563C2314yes—
518#14556563C2314yes—
519#14556563C2314yes—
520#14556563C2314yes—
521#14556563C2314yes—
522#14556563C2314yes—
523#14556563C2314yes—
524#14556563C2312yes—
525#14556563C2314yes—
526#14556563C2314yes—
527#14556563C2314yes—
528#14556563C2312yes—
529#14556563C2314yes—
530#14556563C2314yes—
531#14556563C2314yes—
532#14556562C2314yes—
533#14556562C2314yes—
534#14556562C2312yes—
535#14556562C2314yes—
536#14556562C2314yes—
537#14556562C2314yes—
538#14556562C2314yes—
539#14556562C2312yes—
540#14556562C2312yes—
541Q8×Dic73C2314yes—
542Q8×Dic73C2312yes—
543C4×Dic146C2311yescharacteristic
544C4×Dic146C2312yes—
545C4×Dic146C2312yes—
546C4×Dic146C2312yes—
547C4×Dic146C2312yes—
548C4×Dic146C2311yescharacteristic
549C4×Dic146C2312yes—
550C4×Dic146C2311yescharacteristic
551#14556556C2314yes—
552#14556556C2314yes—
553#14556556C2312yes—
554#14556556C2314yes—
555#14556556C2312yes—
556#14556556C2312yes—
557#14556556C2312yes—
558C4×D292C2311yescharacteristic
559C4×D292C2314yes—
560C4×D292C2314yes—
561C4×D292C2312yes—
562C4×D292C2312yes—
563C4×D292C2312yes—
564C4×D292C2311yescharacteristic
565C4×D292C2311yescharacteristic
566D4×Dic73C2314yes—
567D4×Dic73C2312yes—
568D4×Dic73C2312yes—
569D4×Dic73C2312yes—
570D4×Dic73C2312yes—
571#14556553C2312yes—
572#14556553C2314yes—
573#14556553C2314yes—
574#14556553C2312yes—
575#14556553C2312yes—
576#14556553C2314yes—
577#14556553C2312yes—
578#14556553C2312yes—
579#14556553C2312yes—
580#14556553C2312yes—
581C4×C22⋊D73C2312yes—
582C4×C22⋊D73C2314yes—
583C4×C22⋊D73C2314yes—
584C4×C22⋊D73C2314yes—
585C4×C22⋊D73C2314yes—
586C4×C22⋊D73C2314yes—
587C4×C22⋊D73C2314yes—
588C4×C22⋊D73C2314yes—
589C4×C22⋊D73C2314yes—
590C4×C22⋊D73C2314yes—
591C4×C22⋊D73C2312yes—
592C4×C22⋊D73C2314yes—
593C4×C22⋊D73C2312yes—
594C4×C22⋊D73C2312yes—
595C4×C22⋊D73C2312yes—
596#14556551C2314yes—
597#14556551C2314yes—
598#14556551C2314yes—
599#14556551C2314yes—
600#14556551C2314yes—
601#14556551C2314yes—
602#14556551C2314yes—
603#14556551C2314yes—
604#14556551C2314yes—
605#14556551C2314yes—
606#14556551C2314yes—
607#14556551C2314yes—
608#14556551C2314yes—
609#14556551C2314yes—
610#14556550C2312yes—
611#14556550C2311yescharacteristic
612#14556550C2311yescharacteristic
613#14556550C2311yescharacteristic
614#14556549C2312yes—
615#14556549C2314yes—
616#14556549C2314yes—
617#14556549C2312yes—
618#14556549C2312yes—
619#14556548C2312yes—
620#14556548C2312yes—
621#14556548C2314yes—
622#14556548C2312yes—
623#14556547C2314yes—
624#14556547C2314yes—
625#14556547C2314yes—
626C2×C4⋊Dic73C2314yes—
627C2×C4⋊Dic73C2314yes—
628C2×C4⋊Dic73C2312yes—
629C2×#11924007C2314yes—
630C2×#11924007C2314yes—
631C2×#11924007C2314yes—
632C2×#11924007C2314yes—
633C2×#11924007C2314yes—
634C4⋊C4×D73C2314yes—
635C4⋊C4×D73C2314yes—
636C4⋊C4×D73C2314yes—
637C4⋊C4×D73C2314yes—
638C4⋊C4×D73C2314yes—
639C4⋊C4×D73C2314yes—
640C4⋊C4×D73C2314yes—
641C4⋊C4×D73C2314yes—
642C4⋊C4×D73C2314yes—
643C4⋊C4×D73C2312yes—
644C4⋊C4×D73C2312yes—
645C4⋊C4×D73C2314yes—
646C4⋊C4×D73C2312yes—
647C4⋊C4×D73C2312yes—
648C2×C4×Dic73C2314yes—
649C2×C4×Dic73C2312yes—
650C42×D73C2314yes—
651C42×D73C2312yes—
652C42×D73C2312yes—
653C2×#41×C73C2314yes—
654C2×#41×C73C2312yes—
655C4⋊Q8×C73C2312yes—
656C4⋊Q8×C73C2314yes—
657C4⋊Q8×C73C2311yescharacteristic
658#127×C73C2311yescharacteristic
659#126×C73C2314yes—
660#126×C73C2314yes—
661#126×C73C2312yes—
662#125×C73C2311yescharacteristic
663#125×C73C2312yes—
664#125×C73C2312yes—
665#125×C73C2314yes—
666#125×C73C2312yes—
667#125×C73C2312yes—
668#125×C73C2312yes—
669#124×C73C2311yescharacteristic
670#124×C73C2312yes—
671#123×C73C2314yes—
672#123×C73C2314yes—
673#123×C73C2314yes—
674#123×C73C2314yes—
675#123×C73C2312yes—
676#123×C73C2314yes—
677#123×C73C2314yes—
678C22⋊Q8×C73C2314yes—
679C22⋊Q8×C73C2314yes—
680C22⋊Q8×C73C2314yes—
681C22⋊Q8×C73C2314yes—
682C22⋊Q8×C73C2314yes—
683C22⋊Q8×C73C2311yescharacteristic
684C22⋊Q8×C73C2314yes—
685#121×C73C2314yes—
686#121×C73C2312yes—
687#121×C73C2312yes—
688#121×C73C2314yes—
689#121×C73C2314yes—
690#121×C73C2312yes—
691#121×C73C2314yes—
692#121×C73C2312yes—
693#121×C73C2311yescharacteristic
694C4×Q8×C73C2311yescharacteristic
695C4×D4×C73C2314yes—
696C4×D4×C73C2314yes—
697C4×D4×C73C2312yes—
698C4×D4×C73C2312yes—
699C4×D4×C73C2312yes—
700C4×D4×C73C2312yes—
701C4×D4×C73C2311yescharacteristic
702C4×D4×C73C2312yes—
703#117×C73C2312yes—
704#117×C73C2312yes—
705C2×C4⋊C4×C73C2312yes—
706C2×C4⋊C4×C73C2314yes—
707C2×C4⋊C4×C73C2311yescharacteristic
708C2×C4⋊C4×C73C2311yescharacteristic
709C2×C4⋊C4×C73C2312yes—
710C2×C4⋊C4×C73C2312yes—
711C2×C42×C73C2311yescharacteristic
712#11924029—82no—
713#11924029—82no—
714#11924029—84no—
715#11924028—28no—
716#11924028—24no—
717#11924028—82no—
718#11924028—84no—
719#11924028—84no—
720#11924028—84no—
721#11924028—84no—
722#11924028—84no—
723#11924028—84no—
724#11924027—28no—
725#11924027—84no—
726#11924027—82no—
727#11924027—84no—
728#11924027—84no—
729#11924027—84no—
730#11924027—82no—
731C2×Dic146C2412yes—
732C2×Dic146C2414yes—
733C2×Dic146C2414yes—
734C2×Dic146C2414yes—
735C2×Dic146C2412yes—
736C2×Dic146C2412yes—
737C2×Dic146C2411yescharacteristic
738C2×Dic146C2412yes—
739C2×Dic146C2412yes—
740C2×Dic146C2411yescharacteristic
741C2×D292C2411yescharacteristic
742C2×D292C2412yes—
743C2×D292C2414yes—
744C2×D292C2412yes—
745C2×D292C2414yes—
746C2×D292C2414yes—
747C2×D292C2414yes—
748C2×D292C2414yes—
749C2×D292C2412yes—
750C2×D292C2411yescharacteristic
751C2×C22⋊D73C2414yes—
752C2×C22⋊D73C2414yes—
753C2×C22⋊D73C2412yes—
754C2×C22⋊D73C2414yes—
755C2×C22⋊D73C2414yes—
756C2×C22⋊D73C2414yes—
757C2×C22⋊D73C2414yes—
758C2×C22⋊D73C2414yes—
759C2×C22⋊D73C2414yes—
760C2×C22⋊D73C2414yes—
761C2×C22⋊D73C2412yes—
762C2×C22⋊D73C2414yes—
763C2×C22⋊D73C2414yes—
764C2×C22⋊D73C2414yes—
765C2×C22⋊D73C2412yes—
766C2×C22⋊D73C2412yes—
767C22×Dic73C2414yes—
768C22×Dic73C2412yes—
769C22×Dic73C2414yes—
770C22×Dic73C2412yes—
771C22×Dic73C2414yes—
772C22×Dic73C2414yes—
773C22×Dic73C2414yes—
774C2×C4×D73C2412yes—
775C2×C4×D73C2414yes—
776C2×C4×D73C2412yes—
777C2×C4×D73C2412yes—
778C2×C4×D73C2414yes—
779C2×C4×D73C2414yes—
780C2×C4×D73C2412yes—
781C2×C4×D73C2412yes—
782C2×C4×D73C2412yes—
783C2×C4×D73C2414yes—
784C2×C4×D73C2414yes—
785C2×C4×D73C2414yes—
786C2×C4×D73C2414yes—
787C2×C4×D73C2414yes—
788C2×C4×D73C2414yes—
789C2×C4×D73C2414yes—
790C2×C4×D73C2414yes—
791C4⋊Dic73C2411yescharacteristic
792C4⋊Dic73C2411yescharacteristic
793C4⋊Dic73C2412yes—
794C4⋊Dic73C2411yescharacteristic
795C4⋊Dic73C2414yes—
796C4⋊Dic73C2412yes—
797C4⋊Dic73C2412yes—
798C4⋊Dic73C2412yes—
799C4⋊Dic73C2414yes—
800C4⋊Dic73C2414yes—
801C4⋊Dic73C2414yes—
802C4⋊Dic73C2414yes—
803C4⋊Dic73C2414yes—
804C4⋊Dic73C2411yescharacteristic
805C4⋊Dic73C2414yes—
806C4⋊Dic73C2412yes—
807C4⋊Dic73C2412yes—
808C4⋊Dic73C2411yescharacteristic
809C4⋊Dic73C2412yes—
810C4⋊Dic73C2411yescharacteristic
811C4⋊Dic73C2411yescharacteristic
812C4⋊Dic73C2411yescharacteristic
813C4⋊Dic73C2412yes—
814#11924007C2414yes—
815#11924007C2412yes—
816#11924007C2414yes—
817#11924007C2414yes—
818#11924007C2412yes—
819#11924007C2412yes—
820#11924007C2412yes—
821#11924007C2412yes—
822#11924007C2414yes—
823#11924007C2414yes—
824#11924007C2414yes—
825#11924007C2414yes—
826#11924007C2414yes—
827#11924007C2414yes—
828#11924007C2414yes—
829#11924007C2414yes—
830#11924007C2414yes—
831#11924007C2414yes—
832#11924007C2414yes—
833#11924007C2414yes—
834#11924007C2414yes—
835#11924007C2412yes—
836#11924007C2412yes—
837#11924007C2412yes—
838#11924007C2414yes—
839#11924007C2412yes—
840#11924007C2412yes—
841#11924007C2412yes—
842#11924007C2412yes—
843#11924007C2412yes—
844#11924007C2412yes—
845#11924007C2412yes—
846#11924007C2412yes—
847#11924007C2412yes—
848#11924007C2412yes—
849C22⋊Dic73C2414yes—
850C22⋊Dic73C2414yes—
851C22⋊Dic73C2414yes—
852C22⋊Dic73C2412yes—
853C22⋊Dic73C2412yes—
854C22⋊Dic73C2412yes—
855C22⋊Dic73C2412yes—
856C22⋊Dic73C2412yes—
857C22⋊Dic73C2412yes—
858C22⋊Dic73C2412yes—
859C22⋊Dic73C2414yes—
860C22⋊Dic73C2412yes—
861#11924005C2412yes—
862#11924005C2412yes—
863#11924005C2414yes—
864#11924005C2414yes—
865#11924005C2412yes—
866#11924005C2412yes—
867#11924005C2412yes—
868#11924005C2412yes—
869#11924005C2414yes—
870#11924005C2414yes—
871#11924005C2414yes—
872#11924005C2414yes—
873#11924005C2414yes—
874#11924005C2414yes—
875#11924005C2414yes—
876#11924005C2412yes—
877#11924005C2414yes—
878#11924005C2414yes—
879#11924005C2414yes—
880#11924005C2414yes—
881#11924005C2414yes—
882#11924005C2414yes—
883#11924005C2412yes—
884#11924005C2412yes—
885#11924005C2412yes—
886C4×Dic73C2412yes—
887C4×Dic73C2412yes—
888C4×Dic73C2412yes—
889C4×Dic73C2412yes—
890C4×Dic73C2414yes—
891C4×Dic73C2414yes—
892C4×Dic73C2412yes—
893C4×Dic73C2412yes—
894C4×Dic73C2412yes—
895C4×Dic73C2414yes—
896C4×Dic73C2414yes—
897C4×Dic73C2412yes—
898C4×Dic73C2412yes—
899C4×Dic73C2412yes—
900C4×Dic73C2414yes—
901#41×C73—84no—
902#41×C73—82no—
903C2×Q8×C73C2411yescharacteristic
904C2×Q8×C73C2414yes—
905C2×Q8×C73C2412yes—
906C2×D4×C73C2412yes—
907C2×D4×C73C2414yes—
908C2×D4×C73C2411yescharacteristic
909C2×D4×C73C2412yes—
910C2×D4×C73C2414yes—
911C2×D4×C73C2412yes—
912C2×D4×C73C2414yes—
913C2×D4×C73C2412yes—
914C22×C4×C73C2411yescharacteristic
915C22×C4×C73C2412yes—
916C22×C4×C73C2411yescharacteristic
917C22×C4×C73C2411yescharacteristic
918C22×C4×C73C2412yes—
919C22×C4×C73C2412yes—
920C22×C4×C73C2414yes—
921C22×C4×C73C2414yes—
922C22×C4×C73C2414yes—
923C22×C4×C73C2414yes—
924C4⋊C4×C73C2412yes—
925C4⋊C4×C73C2414yes—
926C4⋊C4×C73C2412yes—
927C4⋊C4×C73C2412yes—
928C4⋊C4×C73C2412yes—
929C4⋊C4×C73C2414yes—
930C4⋊C4×C73C2414yes—
931C4⋊C4×C73C2414yes—
932C4⋊C4×C73C2414yes—
933C4⋊C4×C73C2412yes—
934C4⋊C4×C73C2414yes—
935C4⋊C4×C73C2414yes—
936C4⋊C4×C73C2412yes—
937C4⋊C4×C73C2412yes—
938C4⋊C4×C73C2412yes—
939C4⋊C4×C73C2412yes—
940C4⋊C4×C73C2414yes—
941C4⋊C4×C73C2412yes—
942C4⋊C4×C73C2411yescharacteristic
943C4⋊C4×C73C2411yescharacteristic
944C22⋊C4×C73C2412yes—
945C22⋊C4×C73C2414yes—
946C22⋊C4×C73C2412yes—
947C22⋊C4×C73C2412yes—
948C22⋊C4×C73C2412yes—
949C22⋊C4×C73C2414yes—
950C22⋊C4×C73C2414yes—
951C22⋊C4×C73C2414yes—
952C22⋊C4×C73C2414yes—
953C22⋊C4×C73C2414yes—
954C22⋊C4×C73C2414yes—
955C22⋊C4×C73C2412yes—
956C42×C73C2411yescharacteristic
957C42×C73C2411yescharacteristic
958C42×C73C2411yescharacteristic
959C42×C73C2411yescharacteristic
960C42×C73C2412yes—
961C42×C73C2414yes—
962C23×C73C2514yes—
963C23×C73C2512yes—
964C23×C73C2511yescharacteristic
965C22×D73C2512yes—
966C22×D73C2514yes—
967C22×D73C2512yes—
968Q8×C73—44no—
969Q8×C73—42no—
970Q8×C73—41no—
971D4×C73—24no—
972D4×C73—42no—
973D4×C73—44no—
974D4×C73—44no—
975D4×C73—42no—
976D4×C73—42no—
977D4×C73—44no—
978D4×C73—41no—
979C2×C4×C73—22no—
980C2×C4×C73—24no—
981C2×C4×C73—41no—
982C2×C4×C73—42no—
983C2×C4×C73—44no—
984C2×C4×C73—44no—
985C2×C4×C73—44no—
986C2×C4×C73—41no—
987C2×C4×C73—42no—
988C2×C4×C73—44no—
989C2×C4×C73C2511yescharacteristic
990C2×C4×C73C2512yes—
991C2×C4×C73C2511yescharacteristic
992C2×C4×C73C2511yescharacteristic
993C2×C4×C73C2511yescharacteristic
994C2×C4×C73C2511yescharacteristic
995C2×C4×C73C2512yes—
996C2×C4×C73C2514yes—
997C2×C4×C73C2512yes—
998C2×C4×C73C2514yes—
999C2×C4×C73C2514yes—
1000C2×C4×C73C2511yescharacteristic
1001C22⋊D73—28no—
1002C22⋊D73—28no—
1003C22⋊D73—24no—
1004C22⋊D73—42no—
1005C22⋊D73—44no—
1006C22⋊D73—44no—
1007C22⋊D73—44no—
1008C22⋊D73—44no—
1009C22⋊D73—44no—
1010C22⋊D73—44no—
1011C22⋊D73—44no—
1012C22⋊D73—44no—
1013C22⋊D73—42no—
1014C22⋊D73—42no—
1015C22⋊D73—44no—
1016C22⋊D73—44no—
1017C2×Dic73—28no—
1018C2×Dic73—42no—
1019C2×Dic73—42no—
1020C2×Dic73—44no—
1021C2×Dic73—44no—
1022C2×Dic73—44no—
1023C2×Dic73—44no—
1024C2×Dic73C2512yes—
1025C2×Dic73C2512yes—
1026C2×Dic73C2512yes—
1027C2×Dic73C2512yes—
1028C2×Dic73C2512yes—
1029C2×Dic73C2514yes—
1030C2×Dic73C2512yes—
1031C2×Dic73C2512yes—
1032C2×Dic73C2512yes—
1033C2×Dic73C2512yes—
1034C2×Dic73C2512yes—
1035D292—22no—
1036D292—24no—
1037D292—44no—
1038D292—42no—
1039D292—42no—
1040D292—44no—
1041D292—44no—
1042D292—44no—
1043D292—41no—
1044D292—44no—
1045C4×D73—24no—
1046C4×D73—28no—
1047C4×D73—24no—
1048C4×D73—44no—
1049C4×D73—44no—
1050C4×D73—44no—
1051C4×D73—44no—
1052C4×D73—42no—
1053C4×D73—42no—
1054C4×D73—44no—
1055C4×D73—44no—
1056C4×D73—42no—
1057C4×D73—44no—
1058C4×D73—44no—
1059C4×D73—44no—
1060C4×D73—44no—
1061C4×D73—42no—
1062Dic146—42no—
1063Dic146—41no—
1064Dic146—44no—
1065Dic146—44no—
1066Dic146—44no—
1067Dic146—42no—
1068Dic146—42no—
1069Dic146—42no—
1070Dic146—42no—
1071Dic1462−1+414yes—
1072C22×C73—24no—
1073C22×C73—22no—
1074C22×C73—21no—
1075C22×C73—22no—
1076C22×C73—24no—
1077C22×C73—24no—
1078C22×C73—22no—
1079C22×C73—21no—
1080C22×C73—21no—
1081C22×C73C2611yescharacteristic
1082C2×D73—22no—
1083C2×D73—24no—
1084C2×D73—22no—
1085C2×D73—22no—
1086C2×D73—22no—
1087C2×D73—24no—
1088C2×D73—24no—
1089C2×D73—22no—
1090C2×D73—22no—
1091C4×C73—21no—
1092C4×C73—22no—
1093C4×C73—21no—
1094C4×C73—24no—
1095C4×C73—21no—
1096C4×C73—21no—
1097C4×C73—22no—
1098C4×C73—24no—
1099C4×C73—21no—
1100C4×C73—22no—
1101C4×C73—24no—
1102C4×C73C2×2−1+412yes—
1103Dic73—22no—
1104Dic73—22no—
1105Dic73—22no—
1106Dic73—22no—
1107Dic73—22no—
1108Dic73—22no—
1109Dic73—22no—
1110Dic73—22no—
1111Dic73—22no—
1112Dic73—24no—
1113Dic73C2×2−1+414yes—
1114#63070—731nomaximal, Sylow
1115C2×C73—44no—
1116C2×C73—42no—
1117C2×C73—41no—
1118C2×C73C22×2−1+411yescharacteristic
1119C2×C73H(7,𝔽2)11yescharacteristic
1120C2×C73H(7,𝔽2)11yescharacteristic
1121D73—42no—
1122D73—44no—
1123D73—42no—
1124#3559—732no—
1125#3559—732no—
1126#3559—732no—
1127#3559—732no—
1128#3559—734no—
1129#3559—732no—
1130#3559—732no—
1131#3559—734no—
1132#3559—734no—
1133#3559—734no—
1134#3559—731no—
1135#3559D7311yescharacteristic, complemented
1136#3548—732no—
1137#3548—732no—
1138#3548—734no—
1139#3548—732no—
1140#3548—734no—
1141#3548—731no—
1142#3531—732no—
1143#3531—731no—
1144#3517—732no—
1145#3517—732no—
1146#3517—732no—
1147#3517—732no—
1148#3517—731no—
1149#3517—731no—
1150#3504—732no—
1151#3504—732no—
1152#3504—731no—
1153C73#6307011yescharacteristic, complemented, Sylow
1154#564—731no—
1155#563—734no—
1156#563—734no—
1157#563—732no—
1158#563—734no—
1159#563—732no—
1160#563—732no—
1161#563—731no—
1162#563—731no—
1163#563—732no—
1164#563—734no—
1165#563—732no—
1166#563C2×D7312yes—
1167#562—732no—
1168#562—732no—
1169#562—731no—
1170#562—732no—
1171#562—734no—
1172#562—732no—
1173#562—734no—
1174#562—734no—
1175#562—734no—
1176#562—734no—
1177#562—734no—
1178#562—734no—
1179#562—732no—
1180#562—734no—
1181#562C2×D7312yes—
1182#557—732no—
1183#557—731no—
1184#557—732no—
1185#557—732no—
1186#557—732no—
1187#557—731no—
1188#554—732no—
1189#554—732no—
1190#554—732no—
1191#554—732no—
1192#554—732no—
1193#554—732no—
1194#554—734no—
1195#554—734no—
1196#554—734no—
1197#554—734no—
1198#554—734no—
1199#554—734no—
1200#554—734no—
1201#554—732no—
1202#554—732no—
1203#554—732no—
1204#554—734no—
1205#554—734no—
1206#554—734no—
1207#554C2×D7312yes—
1208#553—734no—
1209#553—734no—
1210#553—734no—
1211#553—732no—
1212#553—734no—
1213#553—734no—
1214#553—734no—
1215#553—734no—
1216#553—732no—
1217#553—732no—
1218#553—732no—
1219#553—734no—
1220#553—734no—
1221#553—734no—
1222#553—732no—
1223#553—732no—
1224#553—732no—
1225#553—732no—
1226#553C2×D7312yes—
1227#553C2×D7312yes—
1228#550—734no—
1229#550—732no—
1230#550—731no—
1231#550—732no—
1232#550—731no—
1233#550—732no—
1234#550—732no—
1235#550—732no—
1236#550—732no—
1237#550—734no—
1238#550—734no—
1239#550—734no—
1240#550—731no—
1241#550—731no—
1242#550—732no—
1243#550—732no—
1244#550—732no—
1245#550—732no—
1246#547—732no—
1247#547—734no—
1248#547—731no—
1249#547—734no—
1250#547—734no—
1251#547—734no—
1252#547—734no—
1253#547—734no—
1254#547—734no—
1255#547—734no—
1256#547—734no—
1257#547—734no—
1258#547—732no—
1259#547—734no—
1260#547—734no—
1261#547—732no—
1262#547—734no—
1263#547—731no—
1264#547—734no—
1265#547—732no—
1266#547—734no—
1267#547—732no—
1268#547—732no—
1269#547—732no—
1270#547—734no—
1271#547—734no—
1272#547C2×D7312yes—
1273#547C2×D7314yes—
1274#544—732no—
1275#544—734no—
1276#544—732no—
1277#544—734no—
1278#544—732no—
1279#544—732no—
1280#544—734no—
1281#544—734no—
1282#544—732no—
1283#544—731no—
1284#544—731no—
1285#544C2×D7312yes—
1286#540—732no—
1287#540—732no—
1288#540—734no—
1289#540—734no—
1290#540—734no—
1291#540—734no—
1292#540—734no—
1293#540—734no—
1294#540—734no—
1295#540—734no—
1296#540—734no—
1297#540—734no—
1298#540—732no—
1299#540—732no—
1300#540—732no—
1301#540—732no—
1302#540—732no—
1303#540—732no—
1304#540—732no—
1305#540C2×D7312yes—
1306#539—734no—
1307#539—734no—
1308#539—734no—
1309#539—734no—
1310#539—734no—
1311#539—734no—
1312#539—734no—
1313#539—734no—
1314#539—734no—
1315#539—734no—
1316#539—734no—
1317#539—734no—
1318#539—734no—
1319#539—732no—
1320#539C2×D7314yes—
1321#539C2×D7312yes—
1322#537—734no—
1323#537—734no—
1324#537—734no—
1325#537—734no—
1326#537—734no—
1327#537—734no—
1328#537—734no—
1329#537—734no—
1330#537—734no—
1331#537—734no—
1332#537—734no—
1333#537—734no—
1334#537—734no—
1335#537—734no—
1336#537—732no—
1337#537C2×D7312yes—
1338#533—734no—
1339#533—732no—
1340#533—734no—
1341#533—732no—
1342#533—732no—
1343#533—731no—
1344#532—734no—
1345#532—732no—
1346#532—732no—
1347#532—732no—
1348#532—732no—
1349#532—732no—
1350#532—734no—
1351#532—734no—
1352#532—734no—
1353#532—732no—
1354#532—731no—
1355#532C2×D7311yescharacteristic
1356#529—734no—
1357#529—734no—
1358#529—732no—
1359#529—732no—
1360#529—734no—
1361#529—734no—
1362#529—732no—
1363#529—732no—
1364#529—732no—
1365#529—732no—
1366#529—731no—
1367#529C2×D7311yescharacteristic
1368C2×#125—732no—
1369C2×#125—734no—
1370C2×#125—732no—
1371C2×#125—734no—
1372C2×#125—732no—
1373C2×#125C2×D7311yescharacteristic
1374#520—732no—
1375#520—732no—
1376#520—732no—
1377#520—732no—
1378#520—731no—
1379#520—731no—
1380C4×#41—732no—
1381C4×#41—732no—
1382C4×#41—731no—
1383C2×#41—732no—
1384C2×#41—734no—
1385C2×#41—732no—
1386C2×#41—734no—
1387C2×#41—734no—
1388C2×#41—734no—
1389C2×#41—734no—
1390C2×#41—732no—
1391C2×#41—732no—
1392C2×#41—732no—
1393C2×#41—734no—
1394C2×#41—734no—
1395C2×#41—734no—
1396C2×#41—734no—
1397C2×#41—734no—
1398C2×#41—734no—
1399C2×#41—732no—
1400C2×#41—732no—
1401C2×#41—731no—
1402C2×#41C22×D7314yes—
1403C2×#41C22×D7312yes—
1404C4⋊Q8—732no—
1405C4⋊Q8—734no—
1406C4⋊Q8—732no—
1407C4⋊Q8—734no—
1408C4⋊Q8—732no—
1409C4⋊Q8—734no—
1410C4⋊Q8—734no—
1411C4⋊Q8—734no—
1412C4⋊Q8—732no—
1413C4⋊Q8—732no—
1414C4⋊Q8—732no—
1415C4⋊Q8—734no—
1416C4⋊Q8—732no—
1417C4⋊Q8—732no—
1418C4⋊Q8—732no—
1419C4⋊Q8—732no—
1420C4⋊Q8—732no—
1421C4⋊Q8—731no—
1422C4⋊Q8—734no—
1423C4⋊Q8—731no—
1424C4⋊Q8—731no—
1425C4⋊Q8C22×D7312yes—
1426C4⋊Q8C22×D7311yescharacteristic
1427C4⋊Q8C22×D7314yes—
1428#127—732no—
1429#127—732no—
1430#127—732no—
1431#127—732no—
1432#127—734no—
1433#127—732no—
1434#127—734no—
1435#127—734no—
1436#127—734no—
1437#127—732no—
1438#127—731no—
1439#127C22×D7311yescharacteristic
1440#126—734no—
1441#126—732no—
1442#126—734no—
1443#126—732no—
1444#126—732no—
1445#126—734no—
1446#126—734no—
1447#126—732no—
1448#126—734no—
1449#126—734no—
1450#126—732no—
1451#126—732no—
1452#126—732no—
1453#126—732no—
1454#126—734no—
1455#126—734no—
1456#126—732no—
1457#126C22×D7314yes—
1458#126C22×D7314yes—
1459#126C22×D7312yes—
1460#125—734no—
1461#125—732no—
1462#125—732no—
1463#125—734no—
1464#125—734no—
1465#125—734no—
1466#125—734no—
1467#125—732no—
1468#125—734no—
1469#125—732no—
1470#125—734no—
1471#125—734no—
1472#125—734no—
1473#125—734no—
1474#125—734no—
1475#125—734no—
1476#125—734no—
1477#125—734no—
1478#125—734no—
1479#125—734no—
1480#125—732no—
1481#125—732no—
1482#125—732no—
1483#125—732no—
1484#125—732no—
1485#125—732no—
1486#125—732no—
1487#125—732no—
1488#125—732no—
1489#125—732no—
1490#125—732no—
1491#125—732no—
1492#125—731no—
1493#125—734no—
1494#125—732no—
1495#125—731no—
1496#125—731no—
1497#125C22×D7312yes—
1498#125C22×D7314yes—
1499#125C22×D7312yes—
1500#125C22×D7312yes—
1501#125C22×D7312yes—
1502#125C22×D7312yes—
1503#125C22×D7311yescharacteristic
1504#124—734no—
1505#124—732no—
1506#124—734no—
1507#124—734no—
1508#124—732no—
1509#124—732no—
1510#124—734no—
1511#124—732no—
1512#124—732no—
1513#124—731no—
1514#124C22×D7312yes—
1515#124C22×D7311yescharacteristic
1516#123—732no—
1517#123—732no—
1518#123—734no—
1519#123—734no—
1520#123—734no—
1521#123—732no—
1522#123—734no—
1523#123—734no—
1524#123—734no—
1525#123—734no—
1526#123—732no—
1527#123—734no—
1528#123—734no—
1529#123—734no—
1530#123—734no—
1531#123—734no—
1532#123—734no—
1533#123—734no—
1534#123—734no—
1535#123—734no—
1536#123—734no—
1537#123—734no—
1538#123—732no—
1539#123—734no—
1540#123—734no—
1541#123—732no—
1542#123—734no—
1543#123—732no—
1544#123—732no—
1545#123—734no—
1546#123—734no—
1547#123—732no—
1548#123—734no—
1549#123—734no—
1550#123—734no—
1551#123—734no—
1552#123—734no—
1553#123—734no—
1554#123—734no—
1555#123—734no—
1556#123—734no—
1557#123—734no—
1558#123—734no—
1559#123C22×D7314yes—
1560#123C22×D7312yes—
1561#123C22×D7314yes—
1562#123C22×D7314yes—
1563#123C22×D7314yes—
1564#123C22×D7314yes—
1565#123C22×D7314yes—
1566C22⋊Q8—732no—
1567C22⋊Q8—734no—
1568C22⋊Q8—734no—
1569C22⋊Q8—732no—
1570C22⋊Q8—734no—
1571C22⋊Q8—734no—
1572C22⋊Q8—734no—
1573C22⋊Q8—731no—
1574C22⋊Q8—734no—
1575C22⋊Q8—732no—
1576C22⋊Q8—732no—
1577C22⋊Q8—734no—
1578C22⋊Q8—734no—
1579C22⋊Q8—734no—
1580C22⋊Q8—734no—
1581C22⋊Q8—732no—
1582C22⋊Q8—734no—
1583C22⋊Q8—734no—
1584C22⋊Q8—732no—
1585C22⋊Q8—732no—
1586C22⋊Q8—732no—
1587C22⋊Q8—734no—
1588C22⋊Q8—734no—
1589C22⋊Q8—732no—
1590C22⋊Q8—734no—
1591C22⋊Q8—734no—
1592C22⋊Q8—732no—
1593C22⋊Q8—734no—
1594C22⋊Q8—734no—
1595C22⋊Q8—734no—
1596C22⋊Q8—734no—
1597C22⋊Q8—734no—
1598C22⋊Q8—734no—
1599C22⋊Q8—734no—
1600C22⋊Q8—734no—
1601C22⋊Q8—734no—
1602C22⋊Q8—734no—
1603C22⋊Q8—734no—
1604C22⋊Q8—734no—
1605C22⋊Q8—734no—
1606C22⋊Q8—732no—
1607C22⋊Q8—734no—
1608C22⋊Q8—732no—
1609C22⋊Q8—734no—
1610C22⋊Q8—734no—
1611C22⋊Q8—732no—
1612C22⋊Q8—732no—
1613C22⋊Q8—732no—
1614C22⋊Q8—732no—
1615C22⋊Q8—734no—
1616C22⋊Q8—734no—
1617C22⋊Q8—734no—
1618C22⋊Q8—734no—
1619C22⋊Q8—734no—
1620C22⋊Q8—734no—
1621C22⋊Q8C22×D7314yes—
1622C22⋊Q8C22×D7311yescharacteristic
1623C22⋊Q8C22×D7314yes—
1624C22⋊Q8C22×D7314yes—
1625C22⋊Q8C22×D7314yes—
1626C22⋊Q8C22×D7314yes—
1627C22⋊Q8C22×D7314yes—
1628#121—732no—
1629#121—732no—
1630#121—734no—
1631#121—732no—
1632#121—732no—
1633#121—734no—
1634#121—734no—
1635#121—734no—
1636#121—734no—
1637#121—734no—
1638#121—734no—
1639#121—732no—
1640#121—734no—
1641#121—734no—
1642#121—734no—
1643#121—734no—
1644#121—734no—
1645#121—734no—
1646#121—734no—
1647#121—734no—
1648#121—734no—
1649#121—734no—
1650#121—734no—
1651#121—734no—
1652#121—734no—
1653#121—734no—
1654#121—734no—
1655#121—731no—
1656#121—734no—
1657#121—732no—
1658#121—732no—
1659#121—732no—
1660#121—732no—
1661#121—734no—
1662#121—734no—
1663#121—734no—
1664#121—734no—
1665#121—734no—
1666#121—732no—
1667#121—734no—
1668#121—734no—
1669#121—734no—
1670#121—732no—
1671#121—732no—
1672#121—732no—
1673#121—734no—
1674#121—734no—
1675#121—734no—
1676#121—734no—
1677#121—734no—
1678#121—734no—
1679#121—732no—
1680#121—734no—
1681#121—734no—
1682#121—734no—
1683#121—734no—
1684#121—734no—
1685#121—734no—
1686#121—734no—
1687#121—734no—
1688#121—734no—
1689#121—734no—
1690#121—734no—
1691#121—734no—
1692#121—734no—
1693#121—734no—
1694#121—734no—
1695#121—734no—
1696#121—734no—
1697#121C22×D7311yescharacteristic
1698#121C22×D7314yes—
1699#121C22×D7312yes—
1700#121C22×D7312yes—
1701#121C22×D7312yes—
1702#121C22×D7312yes—
1703#121C22×D7314yes—
1704#121C22×D7314yes—
1705#121C22×D7314yes—
1706C4×Q8—732no—
1707C4×Q8—734no—
1708C4×Q8—732no—
1709C4×Q8—732no—
1710C4×Q8—732no—
1711C4×Q8—732no—
1712C4×Q8—734no—
1713C4×Q8—734no—
1714C4×Q8—734no—
1715C4×Q8—732no—
1716C4×Q8—731no—
1717C4×Q8—731no—
1718C4×Q8—732no—
1719C4×Q8—732no—
1720C4×Q8—732no—
1721C4×Q8—731no—
1722C4×Q8—732no—
1723C4×Q8C22×D7311yescharacteristic
1724C4×D4—732no—
1725C4×D4—732no—
1726C4×D4—732no—
1727C4×D4—732no—
1728C4×D4—734no—
1729C4×D4—734no—
1730C4×D4—732no—
1731C4×D4—732no—
1732C4×D4—734no—
1733C4×D4—734no—
1734C4×D4—734no—
1735C4×D4—734no—
1736C4×D4—734no—
1737C4×D4—734no—
1738C4×D4—732no—
1739C4×D4—732no—
1740C4×D4—732no—
1741C4×D4—734no—
1742C4×D4—734no—
1743C4×D4—734no—
1744C4×D4—732no—
1745C4×D4—732no—
1746C4×D4—732no—
1747C4×D4—732no—
1748C4×D4—732no—
1749C4×D4—732no—
1750C4×D4—732no—
1751C4×D4—734no—
1752C4×D4—734no—
1753C4×D4—734no—
1754C4×D4—734no—
1755C4×D4—734no—
1756C4×D4—734no—
1757C4×D4—734no—
1758C4×D4—734no—
1759C4×D4—734no—
1760C4×D4—734no—
1761C4×D4—734no—
1762C4×D4—734no—
1763C4×D4—734no—
1764C4×D4—734no—
1765C4×D4—734no—
1766C4×D4—734no—
1767C4×D4—734no—
1768C4×D4—731no—
1769C4×D4—731no—
1770C4×D4—732no—
1771C4×D4—732no—
1772C4×D4—731no—
1773C4×D4—734no—
1774C4×D4—734no—
1775C4×D4—732no—
1776C4×D4C22×D7312yes—
1777C4×D4C22×D7312yes—
1778C4×D4C22×D7312yes—
1779C4×D4C22×D7311yescharacteristic
1780C4×D4C22×D7312yes—
1781C4×D4C22×D7314yes—
1782C4×D4C22×D7314yes—
1783C4×D4C22×D7312yes—
1784#117—731no—
1785#117—732no—
1786#117—731no—
1787#117—731no—
1788#117—732no—
1789#117—734no—
1790#117—732no—
1791#117—734no—
1792#117—732no—
1793#117—734no—
1794#117—734no—
1795#117—734no—
1796#117—734no—
1797#117—732no—
1798#117—732no—
1799#117—732no—
1800#117C22×D7312yes—
1801#117C22×D7312yes—
1802C2×C4⋊C4—734no—
1803C2×C4⋊C4—734no—
1804C2×C4⋊C4—732no—
1805C2×C4⋊C4—734no—
1806C2×C4⋊C4—734no—
1807C2×C4⋊C4—734no—
1808C2×C4⋊C4—734no—
1809C2×C4⋊C4—734no—
1810C2×C4⋊C4—734no—
1811C2×C4⋊C4—732no—
1812C2×C4⋊C4—734no—
1813C2×C4⋊C4—732no—
1814C2×C4⋊C4—732no—
1815C2×C4⋊C4—732no—
1816C2×C4⋊C4—734no—
1817C2×C4⋊C4—734no—
1818C2×C4⋊C4—734no—
1819C2×C4⋊C4—734no—
1820C2×C4⋊C4—734no—
1821C2×C4⋊C4—734no—
1822C2×C4⋊C4—734no—
1823C2×C4⋊C4—734no—
1824C2×C4⋊C4C22×D7312yes—
1825C2×C4⋊C4C22×D7311yescharacteristic
1826C2×C4⋊C4C22×D7311yescharacteristic
1827C2×C4⋊C4C22×D7314yes—
1828C2×C4⋊C4C22×D7312yes—
1829C2×C4⋊C4C22×D7312yes—
1830C2×C42—732no—
1831C2×C42—734no—
1832C2×C42—734no—
1833C2×C42—732no—
1834C2×C42—732no—
1835C2×C42C22×D7311yescharacteristic
1836#41—84no—
1837#41—82no—
1838#41—5844no—
1839#41—5844no—
1840#41—5844no—
1841#41—5844no—
1842#41—5844no—
1843#41—5844no—
1844#41—5842no—
1845#41—5844no—
1846#41—5842no—
1847#41—5844no—
1848#41—5844no—
1849#41—5844no—
1850#41—5842no—
1851#41—5844no—
1852#41—5842no—
1853#41—5842no—
1854#41—1468no—
1855#41—1464no—
1856#41—1468no—
1857C2×Q8—734no—
1858C2×Q8—734no—
1859C2×Q8—734no—
1860C2×Q8—732no—
1861C2×Q8—732no—
1862C2×Q8—732no—
1863C2×Q8—732no—
1864C2×Q8—731no—
1865C2×Q8—732no—
1866C2×Q8—731no—
1867C2×Q8C23×D7312yes—
1868C2×Q8C23×D7314yes—
1869C2×Q8C23×D7311yescharacteristic
1870C2×D4—734no—
1871C2×D4—734no—
1872C2×D4—734no—
1873C2×D4—734no—
1874C2×D4—734no—
1875C2×D4—734no—
1876C2×D4—734no—
1877C2×D4—732no—
1878C2×D4—734no—
1879C2×D4—734no—
1880C2×D4—734no—
1881C2×D4—732no—
1882C2×D4—732no—
1883C2×D4—732no—
1884C2×D4—734no—
1885C2×D4—734no—
1886C2×D4—734no—
1887C2×D4—734no—
1888C2×D4—734no—
1889C2×D4—734no—
1890C2×D4—732no—
1891C2×D4—734no—
1892C2×D4—731no—
1893C2×D4—732no—
1894C2×D4—732no—
1895C2×D4—731no—
1896C2×D4C23×D7312yes—
1897C2×D4C23×D7314yes—
1898C2×D4C23×D7312yes—
1899C2×D4C23×D7314yes—
1900C2×D4C23×D7312yes—
1901C2×D4C23×D7314yes—
1902C2×D4C23×D7312yes—
1903C2×D4C23×D7311yescharacteristic
1904C22×C4—732no—
1905C22×C4—734no—
1906C22×C4—732no—
1907C22×C4—734no—
1908C22×C4—734no—
1909C22×C4—734no—
1910C22×C4—734no—
1911C22×C4—734no—
1912C22×C4—732no—
1913C22×C4—732no—
1914C22×C4—732no—
1915C22×C4—732no—
1916C22×C4—734no—
1917C22×C4—734no—
1918C22×C4—734no—
1919C22×C4—734no—
1920C22×C4—734no—
1921C22×C4—734no—
1922C22×C4—734no—
1923C22×C4—734no—
1924C22×C4—734no—
1925C22×C4—734no—
1926C22×C4—732no—
1927C22×C4—732no—
1928C22×C4C23×D7312yes—
1929C22×C4C23×D7311yescharacteristic
1930C22×C4C23×D7314yes—
1931C22×C4C23×D7311yescharacteristic
1932C22×C4C23×D7311yescharacteristic
1933C22×C4C23×D7314yes—
1934C22×C4C23×D7314yes—
1935C22×C4C23×D7314yes—
1936C22×C4C23×D7312yes—
1937C22×C4C23×D7312yes—
1938C4⋊C4—734no—
1939C4⋊C4—734no—
1940C4⋊C4—734no—
1941C4⋊C4—734no—
1942C4⋊C4—732no—
1943C4⋊C4—732no—
1944C4⋊C4—734no—
1945C4⋊C4—734no—
1946C4⋊C4—732no—
1947C4⋊C4—732no—
1948C4⋊C4—734no—
1949C4⋊C4—734no—
1950C4⋊C4—734no—
1951C4⋊C4—734no—
1952C4⋊C4—734no—
1953C4⋊C4—734no—
1954C4⋊C4—734no—
1955C4⋊C4—734no—
1956C4⋊C4—734no—
1957C4⋊C4—734no—
1958C4⋊C4—732no—
1959C4⋊C4—732no—
1960C4⋊C4—732no—
1961C4⋊C4—734no—
1962C4⋊C4—732no—
1963C4⋊C4—732no—
1964C4⋊C4—732no—
1965C4⋊C4—732no—
1966C4⋊C4—732no—
1967C4⋊C4—732no—
1968C4⋊C4—732no—
1969C4⋊C4—732no—
1970C4⋊C4—732no—
1971C4⋊C4—732no—
1972C4⋊C4—732no—
1973C4⋊C4—731no—
1974C4⋊C4—732no—
1975C4⋊C4—731no—
1976C4⋊C4—731no—
1977C4⋊C4—732no—
1978C4⋊C4—731no—
1979C4⋊C4—734no—
1980C4⋊C4—734no—
1981C4⋊C4—734no—
1982C4⋊C4—734no—
1983C4⋊C4—732no—
1984C4⋊C4—734no—
1985C4⋊C4—734no—
1986C4⋊C4—734no—
1987C4⋊C4—732no—
1988C4⋊C4—732no—
1989C4⋊C4—732no—
1990C4⋊C4—731no—
1991C4⋊C4—732no—
1992C4⋊C4—731no—
1993C4⋊C4—731no—
1994C4⋊C4—732no—
1995C4⋊C4—731no—
1996C4⋊C4C23×D7312yes—
1997C4⋊C4C23×D7314yes—
1998C4⋊C4C23×D7312yes—
1999C4⋊C4C23×D7312yes—
2000C4⋊C4C23×D7314yes—
2001C4⋊C4C23×D7312yes—
2002C4⋊C4C23×D7312yes—
2003C4⋊C4C23×D7312yes—
2004C4⋊C4C23×D7314yes—
2005C4⋊C4C23×D7314yes—
2006C4⋊C4C23×D7314yes—
2007C4⋊C4C23×D7314yes—
2008C4⋊C4C23×D7314yes—
2009C4⋊C4C23×D7312yes—
2010C4⋊C4C23×D7314yes—
2011C4⋊C4C23×D7312yes—
2012C4⋊C4C23×D7312yes—
2013C4⋊C4C23×D7311yescharacteristic
2014C4⋊C4C23×D7312yes—
2015C4⋊C4C23×D7311yescharacteristic
2016C22⋊C4—732no—
2017C22⋊C4—732no—
2018C22⋊C4—734no—
2019C22⋊C4—734no—
2020C22⋊C4—732no—
2021C22⋊C4—732no—
2022C22⋊C4—732no—
2023C22⋊C4—734no—
2024C22⋊C4—732no—
2025C22⋊C4—732no—
2026C22⋊C4—734no—
2027C22⋊C4—732no—
2028C22⋊C4—734no—
2029C22⋊C4—734no—
2030C22⋊C4—734no—
2031C22⋊C4—734no—
2032C22⋊C4—732no—
2033C22⋊C4—732no—
2034C22⋊C4—732no—
2035C22⋊C4—734no—
2036C22⋊C4—734no—
2037C22⋊C4—732no—
2038C22⋊C4—734no—
2039C22⋊C4—734no—
2040C22⋊C4—734no—
2041C22⋊C4—732no—
2042C22⋊C4—732no—
2043C22⋊C4—734no—
2044C22⋊C4—734no—
2045C22⋊C4—734no—
2046C22⋊C4—732no—
2047C22⋊C4—732no—
2048C22⋊C4—734no—
2049C22⋊C4—734no—
2050C22⋊C4—734no—
2051C22⋊C4—732no—
2052C22⋊C4—732no—
2053C22⋊C4C23×D7314yes—
2054C22⋊C4C23×D7314yes—
2055C22⋊C4C23×D7314yes—
2056C22⋊C4C23×D7312yes—
2057C22⋊C4C23×D7312yes—
2058C22⋊C4C23×D7314yes—
2059C22⋊C4C23×D7312yes—
2060C22⋊C4C23×D7314yes—
2061C22⋊C4C23×D7314yes—
2062C22⋊C4C23×D7314yes—
2063C22⋊C4C23×D7312yes—
2064C22⋊C4C23×D7312yes—
2065C42—732no—
2066C42—732no—
2067C42—734no—
2068C42—734no—
2069C42—734no—
2070C42—734no—
2071C42—732no—
2072C42—732no—
2073C42—732no—
2074C42—732no—
2075C42—732no—
2076C42—734no—
2077C42—732no—
2078C42—732no—
2079C42—732no—
2080C42C23×D7311yescharacteristic
2081C42C23×D7314yes—
2082C42C23×D7312yes—
2083C42C23×D7311yescharacteristic
2084C42C23×D7311yescharacteristic
2085C42C23×D7311yescharacteristic
2086C23—732no—
2087C23—734no—
2088C23—732no—
2089C23C24×D7311yescharacteristic
2090C23C24×D7312yes—
2091C23C24×D7314yes—
2092Q8—44no—
2093Q8—42no—
2094Q8—41no—
2095Q8—2922no—
2096Q8—2924no—
2097Q8—2922no—
2098Q8—2921no—
2099Q8—2924no—
2100Q8—2924no—
2101Q8—2922no—
2102Q8—2922no—
2103Q8—2922no—
2104Q8—734no—
2105D4—24no—
2106D4—44no—
2107D4—42no—
2108D4—44no—
2109D4—42no—
2110D4—44no—
2111D4—42no—
2112D4—41no—
2113D4—2922no—
2114D4—2924no—
2115D4—2924no—
2116D4—2924no—
2117D4—2921no—
2118D4—2924no—
2119D4—2924no—
2120D4—2922no—
2121D4—2924no—
2122D4—2924no—
2123D4—2924no—
2124D4—2922no—
2125D4—2924no—
2126D4—2924no—
2127D4—2924no—
2128D4—2924no—
2129D4—2924no—
2130D4—2922no—
2131D4—2924no—
2132D4—2924no—
2133D4—2922no—
2134D4—1464no—
2135D4—1468no—
2136D4—1468no—
2137D4—1464no—
2138D4—1462no—
2139C2×C4—24no—
2140C2×C4—22no—
2141C2×C4—41no—
2142C2×C4—42no—
2143C2×C4—44no—
2144C2×C4—44no—
2145C2×C4—44no—
2146C2×C4—42no—
2147C2×C4—44no—
2148C2×C4—41no—
2149C2×C4—2924no—
2150C2×C4—2924no—
2151C2×C4—2924no—
2152C2×C4—2924no—
2153C2×C4—2924no—
2154C2×C4—2922no—
2155C2×C4—2922no—
2156C2×C4—2924no—
2157C2×C4—2924no—
2158C2×C4—2924no—
2159C2×C4—2924no—
2160C2×C4—2922no—
2161C2×C4—2924no—
2162C2×C4—2922no—
2163C2×C4—2924no—
2164C2×C4—2922no—
2165C2×C4—2924no—
2166C2×C4—2924no—
2167C2×C4—2924no—
2168C2×C4—2922no—
2169C2×C4—732no—
2170C2×C4—732no—
2171C2×C4—732no—
2172C2×C4—732no—
2173C2×C4—732no—
2174C2×C4—732no—
2175C2×C4—732no—
2176C2×C4—732no—
2177C2×C4—734no—
2178C2×C4—732no—
2179C2×C4—732no—
2180C2×C4—1468no—
2181C2×C4—1464no—
2182C2×C4—1468no—
2183C2×C4—1464no—
2184C2×C4C24×D7312yes—
2185C2×C4C24×D7312yes—
2186C2×C4C24×D7311yescharacteristic
2187C2×C4C24×D7311yescharacteristic
2188C2×C4C24×D7311yescharacteristic
2189C2×C4C24×D7314yes—
2190C2×C4C24×D7314yes—
2191C2×C4C24×D7314yes—
2192C2×C4C24×D7312yes—
2193C2×C4C24×D7311yescharacteristic
2194C2×C4C24×D7311yescharacteristic
2195C2×C4C24×D7311yescharacteristic
2196C22—21no—
2197C22—22no—
2198C22—24no—
2199C22—21no—
2200C22—22no—
2201C22—24no—
2202C22—21no—
2203C22—24no—
2204C22—22no—
2205C22—1462no—
2206C22—1464no—
2207C22—1462no—
2208C22—1462no—
2209C22—1462no—
2210C22—1464no—
2211C22—1464no—
2212C22—1462no—
2213C22—1462no—
2214C22C25×D7311yescharacteristic
2215C4—22no—
2216C4—21no—
2217C4—21no—
2218C4—24no—
2219C4—24no—
2220C4—22no—
2221C4—21no—
2222C4—24no—
2223C4—22no—
2224C4—21no—
2225C4—21no—
2226C4—734no—
2227C4—1462no—
2228C4—1462no—
2229C4—1462no—
2230C4—1462no—
2231C4—1462no—
2232C4—1462no—
2233C4—1462no—
2234C4—1464no—
2235C4—1462no—
2236C4—1462no—
2237C42−1+4×D7312yes—
2238C2—41no—
2239C2—42no—
2240C2—44no—
2241C2—2922no—
2242C2—2924no—
2243C2—2922no—
2244C2C2×2−1+4×D7311yescharacteristic
2245C2#2262474111yescharacteristic
2246C2#2262474211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3559C2
hypercenter#3559D73
hypocenterC73#63070
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3559

Complements

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

NH ≅ G/Ntype
1. #22624468C2semidirect
2. #22624467C2semidirect
3. #22624465C2semidirect
4. #22624464C2semidirect
5. #22624463C2semidirect
6. #22624460C2semidirect
7. #22624459C2semidirect
8. #22624457C2semidirect
9. #22624457C2semidirect
10. #22624456C2semidirect
11. #22624455C2semidirect
12. #22624330C2semidirect
13. #22624329C2semidirect
14. #22624328C2semidirect
15. #22624327C2semidirect
16. #22624326C2semidirect
17. #22624325C2semidirect
18. #22624077C2semidirect
19. #22624076C2semidirect
20. #22623936C2semidirect
21. #22623935C2semidirect
22. #22623933C2semidirect
23. #22623930C2semidirect
24. #22623930C2semidirect
25. #22623929C2semidirect
26. #22623755C2semidirect
27. #22623754C2semidirect
28. #22623751C2semidirect
29. C73×#3559C2semidirect
1135. #3559D73semidirect
1153. C73#63070semidirect

Maximal subgroups

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

subgroupindex
#226244682
#226244672
#226244652
#226244642
#226244632
#226244602
#226244592
#226244572
#226244562
#226244552
#226243302
#226243292
#226243282
#226243272
#226243262
#226243252
#226240772
#226240762
#226239362
#226239352
#226239332
#226239302
#226239292
#226237552
#226237542
#226237512
C73×#35592
#6307073