Finite Group Databasebeta

← #33994624

Subgroups — #33994624

Order 18688.

7242 conjugacy classes of subgroups.

The subgroup lattice has 2076 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624219C214yesmaximal, complemented
2#22624211C214yesmaximal, complemented
3#22624171C214yesmaximal, complemented
4#22624146C214yesmaximal, complemented
5#22624136C214yesmaximal, complemented
6#22624128C214yesmaximal, complemented
7#22623969C214yesmaximal, complemented
8#22623967C214yesmaximal, complemented
9#22623768C212yesmaximal, complemented
10#22623761C212yesmaximal, complemented
11#22623731C212yesmaximal, complemented
12#22623729C212yesmaximal, complemented
13#22623670C214yesmaximal, complemented
14#22623637C212yesmaximal, complemented
15#22623632C212yesmaximal, complemented
16#22623632C212yesmaximal, complemented
17#22623620C211yesmaximal, characteristic, complemented
18#22623618C212yesmaximal, complemented
19#22623602C214yesmaximal, complemented
20#22623578C212yesmaximal, complemented
21C2×#17989093C212yesmaximal, complemented
22C22×#14556568C211yesmaximal, characteristic, complemented
23C73×#3490C211yesmaximal, characteristic, complemented
24C2×#14556638C2212yescomplemented
25C22×#11924027C2212yescomplemented
26C23×Dic146C2211yescharacteristic, complemented
27C24×Dic73C2211yescharacteristic
28#17989340C2214yescomplemented
29#17989339C2214yescomplemented
30#17989339C2214yescomplemented
31#17989337C2214yescomplemented
32#17989334C2214yescomplemented
33#17989332C2214yescomplemented
34#17989332C2214yescomplemented
35#17989331C2214yescomplemented
36#17989306C2214yescomplemented
37#17989304C2214yescomplemented
38#17989296C2214yescomplemented
39#17989296C2214yescomplemented
40#17989296C2214yescomplemented
41#17989296C2214yescomplemented
42#17989295C2214yescomplemented
43#17989295C2214yescomplemented
44#17989294C2214yescomplemented
45#17989294C2214yescomplemented
46#17989291C2214yescomplemented
47#17989291C2214yescomplemented
48#17989291C2214yescomplemented
49#17989291C2214yescomplemented
50#17989289C2214yescomplemented
51#17989286C2214yescomplemented
52#17989286C2214yescomplemented
53#17989283C2214yescomplemented
54#17989280C2214yescomplemented
55#17989280C2214yescomplemented
56#17989279C2214yescomplemented
57#17989277C2214yescomplemented
58#17989274C2214yescomplemented
59#17989274C2214yescomplemented
60#17989274C2214yescomplemented
61#17989274C2214yescomplemented
62#17989273C2214yescomplemented
63#17989270C2214yescomplemented
64#17989270C2214yescomplemented
65#17989270C2214yescomplemented
66#17989268C2214yescomplemented
67#17989268C2214yescomplemented
68#17989268C2214yescomplemented
69#17989263C2214yescomplemented
70#17989263C2214yescomplemented
71#17989263C2214yescomplemented
72#17989263C2214yescomplemented
73#17989263C2214yescomplemented
74#17989261C2214yescomplemented
75#17989260C2214yescomplemented
76D4×Dic146C2214yescomplemented
77D4×Dic146C2214yescomplemented
78D4×Dic146C2214yescomplemented
79#17989250C2214yescomplemented
80#17989250C2214yescomplemented
81#17989250C2214yescomplemented
82#17989246C2214yescomplemented
83#17989246C2214yescomplemented
84#17989245C2214yescomplemented
85#17989243C2214yescomplemented
86#17989243C2214yescomplemented
87#17989243C2214yescomplemented
88#17989241C2214yescomplemented
89#17989237C2214yescomplemented
90#17989237C2214yescomplemented
91#17989236C2214yescomplemented
92#17989236C2214yescomplemented
93#17989235C2214yescomplemented
94#17989235C2214yescomplemented
95#17989235C2214yescomplemented
96#17989231C2214yescomplemented
97#17989231C2214yescomplemented
98#17989227C2214yescomplemented
99#17989227C2214yescomplemented
100#17989227C2214yescomplemented
101#17989224C2214yescomplemented
102#17989224C2214yescomplemented
103#17989224C2214yescomplemented
104#17989216C2214yescomplemented
105#17989216C2212yescomplemented
106#17989216C2212yescomplemented
107#17989215C2214yescomplemented
108#17989215C2212yescomplemented
109#17989213C2212yes—
110#17989213C2211yescharacteristic
111#17989213C2214yescomplemented
112#17989212C2214yescomplemented
113#17989206C2214yescomplemented
114#17989205C2214yescomplemented
115#17989204C2214yescomplemented
116#17989203C2214yescomplemented
117#17989201C2214yescomplemented
118#17989201C2214yescomplemented
119#17989194C2214yescomplemented
120#17989194C2214yescomplemented
121#17989186C2212yescomplemented
122#17989186C2212yescomplemented
123#17989182C2212yescomplemented
124#17989182C2212yescomplemented
125#17989182C2214yescomplemented
126#17989181C2214yescomplemented
127#17989181C2214yescomplemented
128#17989181C2214yescomplemented
129#17989181C2214yescomplemented
130#17989180C2214yescomplemented
131#17989179C2214yescomplemented
132#17989179C2214yescomplemented
133#17989179C2214yescomplemented
134#17989178C2214yescomplemented
135#17989175C2212yescomplemented
136#17989175C2212yescomplemented
137#17989172C2214yescomplemented
138#17989172C2214yescomplemented
139#17989172C2214yescomplemented
140#17989170C2214yescomplemented
141#17989166C2214yescomplemented
142#17989165C2212yescomplemented
143#17989164C2212yescomplemented
144#17989164C2212yescomplemented
145#17989164C2214yescomplemented
146#17989163C2212yescomplemented
147#17989159C2214yescomplemented
148#17989159C2214yescomplemented
149#17989159C2214yescomplemented
150#17989158C2212yescomplemented
151#17989157C2214yescomplemented
152#17989149C2211yescharacteristic
153#17989146C2212yes—
154#17989140C2214yescomplemented
155#17989139C2214yescomplemented
156#17989117C2214yescomplemented
157#17989114C2214yescomplemented
158#17989098C2212yescomplemented
159#17989098C2212yescomplemented
160#17989096C2214yescomplemented
161#17989093C2214yes—
162#17989093C2214yes—
163#17989093C2214yes—
164#17989093C2214yes—
165#17989093C2214yescomplemented
166#17989093C2214yescomplemented
167#17989093C2214yescomplemented
168#17989093C2214yescomplemented
169#17989093C2214yescomplemented
170#17989093C2214yescomplemented
171#17989093C2214yescomplemented
172C2×#14556575C2212yescomplemented
173C2×#14556572C2212yescomplemented
174C2×#14556568C2212yes—
175C2×#14556568C2212yes—
176C2×#14556568C2212yes—
177C2×#14556568C2214yescomplemented
178C2×#14556568C2214yescomplemented
179C2×#14556568C2214yescomplemented
180C2×#14556568C2212yescomplemented
181C2×#14556568C2212yescomplemented
182C2×#14556568C2212yescomplemented
183C2×#14556568C2214yescomplemented
184C2×#14556568C2214yescomplemented
185C22⋊Q8×D73C2214yescomplemented
186C2×#14556563C2212yes—
187C2×#14556563C2212yescomplemented
188C2×#14556560C2212yes—
189#17989070C2212yescomplemented
190#17989067C2212yescomplemented
191#17989066C2214yescomplemented
192#17989066C2214yescomplemented
193#17989064C2212yescomplemented
194#17989062C2212yes—
195#17989060C2212yes—
196#17989060C2212yes—
197C2×D4×Dic73C2212yes—
198C2×D4×Dic73C2212yescomplemented
199C2×#14556551C2212yes—
200C2×#14556551C2212yescomplemented
201C2×#14556547C2212yescomplemented
202C22×C4⋊Dic73C2211yescharacteristic, complemented
203C22×#11924007C2211yescharacteristic, complemented
204C22×#11924007C2211yescharacteristic, complemented
205C22×C22⋊Dic73C2211yescharacteristic
206#551×C73C2214yescomplemented
207#551×C73C2214yescomplemented
208#546×C73C2214yescomplemented
209#546×C73C2214yescomplemented
210#543×C73C2211yescharacteristic
211#538×C73C2212yescomplemented
212#538×C73C2212yescomplemented
213#534×C73C2211yescharacteristic
214#525×C73C2212yescomplemented
215#525×C73C2212yescomplemented
216C2×#120×C73C2212yes—
217#518×C73C2212yes—
218C22×C22⋊C4×C73C2211yescharacteristic
219#14556638—48no—
220C2×#11924028C2312yes—
221C2×#11924028C2312yes—
222C2×#11924028C2314yescomplemented
223C2×#11924027—48no—
224C2×#11924027C2314yes—
225C2×#11924027C2314yes—
226C2×#11924027C2314yes—
227C2×#11924027C2314yes—
228C2×#11924027C2314yes—
229C2×#11924027C2314yes—
230C2×#11924027C2314yescomplemented
231C22×Dic146—44no—
232C22×Dic146C2312yes—
233C22×Dic146C2312yes—
234C22×Dic146C2312yes—
235C22×Dic146C2314yes—
236C22×Dic146C2312yes—
237C22×Dic146C2312yes—
238C22×Dic146C2314yescomplemented
239C2×Q8×D73C2314yescomplemented
240C22×C22⋊D73C2312yes—
241C22×C22⋊D73C2312yes—
242C22×C22⋊D73C2312yes—
243C22×C22⋊D73C2312yes—
244C23×Dic73—44no—
245C23×Dic73C2311yescharacteristic
246C23×Dic73C2312yes—
247C23×Dic73C2311yescharacteristic
248C23×Dic73C2312yes—
249C23×Dic73C2312yes—
250C23×Dic73C2312yes—
251C23×Dic73C2312yes—
252C23×Dic73C2312yes—
253C23×Dic73C2311yescharacteristic
254C23×Dic73C2312yes—
255C23×Dic73C2311yescharacteristic
256C22×C4×D73C2312yes—
257#14556591C2314yescomplemented
258#14556591C2314yescomplemented
259#14556590C2314yescomplemented
260#14556590C2314yescomplemented
261#14556590C2314yescomplemented
262#14556590C2314yescomplemented
263#14556590C2314yescomplemented
264#14556590C2314yescomplemented
265#14556590C2314yescomplemented
266#14556589C2314yescomplemented
267#14556589C2314yescomplemented
268#14556589C2314yescomplemented
269#14556586C2314yescomplemented
270#14556586C2314yescomplemented
271#14556586C2314yescomplemented
272#14556586C2314yescomplemented
273#14556585C2314yescomplemented
274#14556585C2314yescomplemented
275#14556584C2314yes—
276#14556584C2314yes—
277#14556584C2314yes—
278#14556584C2314yes—
279#14556584C2314yes—
280#14556584C2314yes—
281#14556584C2314yescomplemented
282#14556584C2314yescomplemented
283#14556584C2314yescomplemented
284#14556584C2314yescomplemented
285#14556584C2314yescomplemented
286#14556584C2314yescomplemented
287#14556583C2314yescomplemented
288#14556583C2314yescomplemented
289#14556583C2314yescomplemented
290#14556582C2314yescomplemented
291#14556582C2314yescomplemented
292#14556582C2314yescomplemented
293#14556582C2314yescomplemented
294#14556582C2314yescomplemented
295#14556581C2314yescomplemented
296#14556581C2314yescomplemented
297#14556581C2314yescomplemented
298#14556581C2314yescomplemented
299#14556581C2314yescomplemented
300#14556581C2314yescomplemented
301#14556581C2314yescomplemented
302#14556581C2314yescomplemented
303#14556581C2314yescomplemented
304#14556581C2314yescomplemented
305#14556579C2314yescomplemented
306#14556578C2314yes—
307#14556578C2314yes—
308#14556578C2314yescomplemented
309#14556577C2314yes—
310#14556577C2314yes—
311#14556577C2314yes—
312#14556577C2314yes—
313#14556577C2314yescomplemented
314#14556577C2314yescomplemented
315#14556577C2314yescomplemented
316#14556577C2314yescomplemented
317#14556576C2314yescomplemented
318#14556576C2314yescomplemented
319#14556575C2314yes—
320#14556575C2314yes—
321#14556575C2314yes—
322#14556575C2314yes—
323#14556575C2314yes—
324#14556575C2314yes—
325#14556575C2314yes—
326#14556575C2314yescomplemented
327#14556575C2314yescomplemented
328#14556574C2314yes—
329#14556574C2314yes—
330#14556574C2314yes—
331#14556574C2314yescomplemented
332#14556574C2314yescomplemented
333#14556573C2314yes—
334#14556573C2314yes—
335#14556573C2314yes—
336#14556573C2314yes—
337#14556573C2314yescomplemented
338#14556573C2314yescomplemented
339#14556573C2314yescomplemented
340#14556573C2314yescomplemented
341#14556572C2314yes—
342#14556572C2314yes—
343#14556572C2314yes—
344#14556572C2314yes—
345#14556572C2314yes—
346#14556572C2314yes—
347#14556572C2314yes—
348#14556572C2314yes—
349#14556572C2314yes—
350#14556572C2314yescomplemented
351#14556572C2314yescomplemented
352#14556571C2314yescomplemented
353#14556571C2314yescomplemented
354#14556571C2314yescomplemented
355#14556571C2314yescomplemented
356#14556570C2314yes—
357#14556570C2312yes—
358#14556570C2312yes—
359#14556570C2312yes—
360#14556570C2312yes—
361#14556570C2314yes—
362#14556570C2314yescomplemented
363#14556570C2314yescomplemented
364#14556570C2314yescomplemented
365#14556570C2314yescomplemented
366#14556570C2314yescomplemented
367#14556569C2314yescomplemented
368#14556569C2314yescomplemented
369#14556569C2314yescomplemented
370#14556569C2314yescomplemented
371#14556569C2314yescomplemented
372#14556569C2314yescomplemented
373#14556569C2314yescomplemented
374#14556569C2314yescomplemented
375#14556568C2314yes—
376#14556568C2314yes—
377#14556568C2314yes—
378#14556568C2314yes—
379#14556568C2314yes—
380#14556568C2314yes—
381#14556568C2314yes—
382#14556568C2314yes—
383#14556568C2314yes—
384#14556568C2314yes—
385#14556568C2314yes—
386#14556568C2314yes—
387#14556568C2314yes—
388#14556568C2314yes—
389#14556568C2314yes—
390#14556568C2314yes—
391#14556568C2314yes—
392#14556568C2314yes—
393#14556568C2314yes—
394#14556568C2314yes—
395#14556568C2314yes—
396#14556568C2314yes—
397#14556568C2314yes—
398#14556568C2314yes—
399#14556568C2314yes—
400#14556568C2314yes—
401#14556568C2314yes—
402#14556568C2314yes—
403#14556568C2314yes—
404#14556568C2314yes—
405#14556568C2314yes—
406#14556568C2314yes—
407#14556568C2314yescomplemented
408#14556568C2314yescomplemented
409#14556568C2314yescomplemented
410#14556568C2314yescomplemented
411#14556568C2314yescomplemented
412#14556568C2314yescomplemented
413#14556568C2314yescomplemented
414#14556568C2314yescomplemented
415#14556568C2314yescomplemented
416#14556568C2314yescomplemented
417#14556567C2314yescomplemented
418#14556567C2314yescomplemented
419#14556567C2314yescomplemented
420#14556565C2312yes—
421#14556565C2312yes—
422#14556565C2312yes—
423#14556565C2312yes—
424#14556565C2314yescomplemented
425#14556564C2314yes—
426#14556564C2314yes—
427#14556564C2314yescomplemented
428#14556564C2314yescomplemented
429#14556563C2314yes—
430#14556563C2314yes—
431#14556563C2314yes—
432#14556563C2314yes—
433#14556563C2314yes—
434#14556563C2314yes—
435#14556563C2314yes—
436#14556563C2314yes—
437#14556563C2314yes—
438#14556563C2314yes—
439#14556563C2314yes—
440#14556563C2314yes—
441#14556563C2314yes—
442#14556563C2314yes—
443#14556563C2314yescomplemented
444#14556563C2314yescomplemented
445#14556562C2314yes—
446#14556562C2314yes—
447#14556562C2314yescomplemented
448#14556561C2314yes—
449#14556560C2314yes—
450#14556560C2314yes—
451#14556560C2314yes—
452#14556560C2314yes—
453#14556560C2314yes—
454#14556559C2314yes—
455Q8×Dic73C2314yescomplemented
456C4×Dic146C2314yescomplemented
457C4×Dic146C2314yescomplemented
458C4×Dic146C2314yescomplemented
459C4×Dic146C2314yescomplemented
460C4×Dic146C2314yescomplemented
461#14556556C2314yescomplemented
462#14556556C2314yescomplemented
463#14556556C2314yescomplemented
464#14556556C2314yescomplemented
465C4×D292C2314yescomplemented
466D4×Dic73C2314yes—
467D4×Dic73C2314yes—
468D4×Dic73C2314yes—
469D4×Dic73C2314yes—
470D4×Dic73C2314yes—
471D4×Dic73C2314yes—
472D4×Dic73C2314yes—
473D4×Dic73C2314yes—
474D4×Dic73C2314yes—
475D4×Dic73C2314yes—
476D4×Dic73C2314yes—
477D4×Dic73C2314yes—
478D4×Dic73C2314yes—
479D4×Dic73C2314yes—
480D4×Dic73C2314yescomplemented
481C4×C22⋊D73C2314yes—
482C4×C22⋊D73C2314yes—
483C4×C22⋊D73C2314yes—
484C4×C22⋊D73C2314yes—
485C4×C22⋊D73C2314yes—
486C4×C22⋊D73C2314yes—
487C4×C22⋊D73C2314yescomplemented
488C4×C22⋊D73C2314yescomplemented
489#14556551C2314yes—
490#14556551C2314yes—
491#14556551C2314yes—
492#14556551C2314yes—
493#14556551C2314yes—
494#14556551C2314yes—
495#14556551C2314yes—
496#14556551C2314yes—
497#14556551C2314yes—
498#14556551C2314yes—
499#14556551C2314yes—
500#14556551C2314yes—
501#14556551C2314yes—
502#14556551C2314yes—
503#14556551C2314yescomplemented
504#14556551C2314yescomplemented
505#14556550C2314yes—
506#14556550C2312yes—
507#14556550C2312yes—
508#14556550C2314yescomplemented
509#14556549C2314yescomplemented
510#14556548C2314yescomplemented
511#14556548C2314yescomplemented
512#14556547C2314yes—
513#14556547C2314yes—
514#14556547C2314yes—
515#14556547C2314yes—
516#14556547C2314yes—
517#14556547C2314yes—
518#14556547C2314yes—
519#14556547C2314yes—
520#14556547C2314yescomplemented
521#14556547C2314yescomplemented
522C2×C4⋊Dic73C2312yes—
523C2×C4⋊Dic73C2312yes—
524C2×C4⋊Dic73C2312yes—
525C2×C4⋊Dic73C2314yes—
526C2×C4⋊Dic73C2312yes—
527C2×C4⋊Dic73C2312yes—
528C2×C4⋊Dic73C2312yes—
529C2×C4⋊Dic73C2314yescomplemented
530C2×#11924007C2312yes—
531C2×#11924007C2312yes—
532C2×#11924007C2312yes—
533C2×#11924007C2312yes—
534C2×#11924007C2312yes—
535C2×#11924007C2314yes—
536C2×#11924007C2314yes—
537C2×#11924007C2312yes—
538C2×#11924007C2312yes—
539C2×#11924007C2312yes—
540C2×#11924007C2312yes—
541C2×#11924007C2312yes—
542C2×#11924007C2312yes—
543C2×#11924007C2312yes—
544C2×#11924007C2314yescomplemented
545C2×#11924007C2314yescomplemented
546C4⋊C4×D73C2314yescomplemented
547C4⋊C4×D73C2314yescomplemented
548C4⋊C4×D73C2314yescomplemented
549C2×C22⋊Dic73C2312yes—
550C2×C22⋊Dic73C2312yes—
551C2×C22⋊Dic73C2312yes—
552C2×C22⋊Dic73C2312yes—
553C2×C22⋊Dic73C2314yes—
554C2×C22⋊Dic73C2314yes—
555C2×C22⋊Dic73C2314yes—
556C2×C22⋊Dic73C2312yes—
557C2×C22⋊Dic73C2312yes—
558C2×C22⋊Dic73C2312yes—
559C2×#11924005C2312yes—
560C2×#11924005C2312yes—
561C22⋊C4×D73C2314yes—
562C22⋊C4×D73C2314yes—
563C2×C4×Dic73C2312yes—
564C2×C4×Dic73C2312yes—
565C25×C73C2311yescharacteristic
566C2×#41×C73C2312yes—
567C2×#41×C73C2312yes—
568C22×D4×C73C2312yes—
569C22×D4×C73C2312yes—
570C22×D4×C73C2312yes—
571C23×C4×C73C2311yescharacteristic
572C23×C4×C73C2311yescharacteristic
573#126×C73C2314yes—
574#126×C73C2314yes—
575#124×C73C2314yes—
576#124×C73C2314yes—
577#123×C73C2314yes—
578#123×C73C2314yes—
579#123×C73C2314yes—
580#123×C73C2314yes—
581#123×C73C2314yes—
582C22⋊Q8×C73C2314yes—
583C22⋊Q8×C73C2312yes—
584C22⋊Q8×C73C2312yes—
585C22⋊Q8×C73C2314yes—
586C22⋊Q8×C73C2312yes—
587C22⋊Q8×C73C2312yes—
588#121×C73C2312yes—
589#121×C73C2312yes—
590#121×C73C2314yes—
591#121×C73C2314yes—
592#121×C73C2312yes—
593#121×C73C2312yes—
594#120×C73C2314yes—
595#120×C73C2314yes—
596#120×C73C2314yes—
597#120×C73C2314yes—
598#120×C73C2314yes—
599C4×D4×C73C2314yes—
600C4×D4×C73C2314yes—
601C4×D4×C73C2314yes—
602C4×D4×C73C2314yes—
603C4×D4×C73C2314yes—
604C4×D4×C73C2314yes—
605#117×C73C2314yes—
606#117×C73C2312yes—
607#117×C73C2312yes—
608C2×C22⋊C4×C73C2311yescharacteristic
609C2×C22⋊C4×C73C2311yescharacteristic
610C2×C22⋊C4×C73C2311yescharacteristic
611C2×C22⋊C4×C73C2312yes—
612C2×C22⋊C4×C73C2314yes—
613C2×C22⋊C4×C73C2314yes—
614C2×C22⋊C4×C73C2314yes—
615C2×C22⋊C4×C73C2311yescharacteristic
616C2×C22⋊C4×C73C2312yes—
617C2×C22⋊C4×C73C2312yes—
618C23×D73C2412yes—
619#11924028—48no—
620#11924028—44no—
621#11924028—44no—
622#11924027—216no—
623#11924027—48no—
624#11924027—48no—
625#11924027—48no—
626#11924027—48no—
627#11924027—48no—
628#11924027—48no—
629C2×Dic146—28no—
630C2×Dic146—44no—
631C2×Dic146—48no—
632C2×Dic146—44no—
633C2×Dic146—44no—
634C2×Dic146—48no—
635C2×Dic146—44no—
636C2×Dic146C2414yes—
637C2×Dic146C2414yes—
638C2×Dic146C2414yes—
639C2×Dic146C2414yes—
640C2×Dic146C2412yes—
641C2×Dic146C2414yes—
642C2×Dic146C2414yes—
643C2×Dic146C2414yes—
644C2×Dic146C2414yes—
645C2×Dic146C2412yes—
646Q8×D73—48no—
647C2×D292C2412yes—
648C2×D292C2412yes—
649C2×C22⋊D73—28no—
650C2×C22⋊D73—44no—
651C2×C22⋊D73—44no—
652C2×C22⋊D73—44no—
653C2×C22⋊D73C2414yes—
654C2×C22⋊D73C2414yes—
655C2×C22⋊D73C2414yes—
656C2×C22⋊D73C2414yes—
657C2×C22⋊D73C2414yes—
658C2×C22⋊D73C2414yes—
659C2×C22⋊D73C2414yes—
660C2×C22⋊D73C2414yes—
661C2×C22⋊D73C2414yes—
662C2×C22⋊D73C2414yes—
663C22×Dic73—24no—
664C22×Dic73—28no—
665C22×Dic73—44no—
666C22×Dic73—44no—
667C22×Dic73—44no—
668C22×Dic73—44no—
669C22×Dic73—44no—
670C22×Dic73—44no—
671C22×Dic73—42no—
672C22×Dic73—42no—
673C22×Dic73—42no—
674C22×Dic73C2412yes—
675C22×Dic73C2412yes—
676C22×Dic73C2412yes—
677C22×Dic73C2412yes—
678C22×Dic73C2412yes—
679C22×Dic73C2412yes—
680C22×Dic73C2412yes—
681C22×Dic73C2412yes—
682C22×Dic73C2411yescharacteristic
683C22×Dic73C2414yes—
684C22×Dic73C2412yes—
685C22×Dic73C2412yes—
686C22×Dic73C2412yes—
687C22×Dic73C2412yes—
688C22×Dic73C2412yes—
689C22×Dic73C2412yes—
690C22×Dic73C2412yes—
691C22×Dic73C2412yes—
692C22×Dic73C2412yes—
693C22×Dic73C2412yes—
694C22×Dic73C2414yes—
695C22×Dic73C2414yes—
696C22×Dic73C2411yescharacteristic
697C22×Dic73C2412yes—
698C22×Dic73C2411yescharacteristic
699C22×Dic73C2414yes—
700C22×Dic73C2412yes—
701C22×Dic73C2412yes—
702C22×Dic73C2411yescharacteristic
703C2×C4×D73—44no—
704C2×C4×D73C2414yes—
705C2×C4×D73C2414yes—
706C2×C4×D73C2414yes—
707C2×C4×D73C2414yes—
708C2×C4×D73C2414yes—
709C2×C4×D73C2414yes—
710C4⋊Dic73C2414yes—
711C4⋊Dic73C2414yes—
712C4⋊Dic73C2414yes—
713C4⋊Dic73C2414yes—
714C4⋊Dic73C2414yes—
715C4⋊Dic73C2414yes—
716C4⋊Dic73C2414yes—
717C4⋊Dic73C2414yes—
718C4⋊Dic73C2414yes—
719C4⋊Dic73C2412yes—
720C4⋊Dic73C2414yes—
721C4⋊Dic73C2412yes—
722C4⋊Dic73C2414yes—
723C4⋊Dic73C2414yes—
724C4⋊Dic73C2412yes—
725C4⋊Dic73C2412yes—
726#11924007C2414yes—
727#11924007C2414yes—
728#11924007C2414yes—
729#11924007C2414yes—
730#11924007C2414yes—
731#11924007C2414yes—
732#11924007C2414yes—
733#11924007C2414yes—
734#11924007C2414yes—
735#11924007C2414yes—
736#11924007C2414yes—
737#11924007C2414yes—
738#11924007C2414yes—
739#11924007C2414yes—
740#11924007C2414yes—
741#11924007C2414yes—
742#11924007C2414yes—
743#11924007C2414yes—
744#11924007C2414yes—
745#11924007C2414yes—
746#11924007C2414yes—
747#11924007C2414yes—
748#11924007C2414yes—
749#11924007C2414yes—
750#11924007C2414yes—
751#11924007C2414yes—
752#11924007C2414yes—
753#11924007C2414yes—
754C22⋊Dic73C2414yes—
755C22⋊Dic73C2414yes—
756C22⋊Dic73C2414yes—
757C22⋊Dic73C2414yes—
758C22⋊Dic73C2414yes—
759C22⋊Dic73C2414yes—
760C22⋊Dic73C2414yes—
761C22⋊Dic73C2414yes—
762C22⋊Dic73C2414yes—
763C22⋊Dic73C2414yes—
764C22⋊Dic73C2414yes—
765C22⋊Dic73C2414yes—
766C22⋊Dic73C2414yes—
767C22⋊Dic73C2414yes—
768C22⋊Dic73C2414yes—
769C22⋊Dic73C2414yes—
770C22⋊Dic73C2414yes—
771C22⋊Dic73C2414yes—
772#11924005C2414yes—
773#11924005C2414yes—
774#11924005C2414yes—
775#11924005C2414yes—
776#11924005C2414yes—
777#11924005C2414yes—
778#11924005C2414yes—
779#11924005C2414yes—
780#11924005C2414yes—
781#11924005C2414yes—
782#11924005C2414yes—
783#11924005C2414yes—
784C4×Dic73C2414yes—
785C4×Dic73C2414yes—
786C4×Dic73C2414yes—
787C4×Dic73C2414yes—
788C4×Dic73C2414yes—
789C4×Dic73C2414yes—
790C4×Dic73C2414yes—
791C4×Dic73C2414yes—
792C4×Dic73C2414yes—
793C4×Dic73C2414yes—
794C24×C73—24no—
795C24×C73—42no—
796C24×C73—42no—
797C24×C73C2411yescharacteristic
798C24×C73C2412yes—
799C24×C73C2412yes—
800C24×C73C2411yescharacteristic
801C24×C73C2412yes—
802C24×C73C2411yescharacteristic
803#41×C73—44no—
804#41×C73—44no—
805C2×Q8×C73C2412yes—
806C2×Q8×C73C2412yes—
807C2×D4×C73—28no—
808C2×D4×C73—44no—
809C2×D4×C73—44no—
810C2×D4×C73C2414yes—
811C2×D4×C73C2414yes—
812C2×D4×C73C2414yes—
813C2×D4×C73C2414yes—
814C2×D4×C73C2412yes—
815C2×D4×C73C2412yes—
816C2×D4×C73C2414yes—
817C2×D4×C73C2414yes—
818C22×C4×C73—42no—
819C22×C4×C73—42no—
820C22×C4×C73C2412yes—
821C22×C4×C73C2412yes—
822C22×C4×C73C2412yes—
823C22×C4×C73C2411yescharacteristic
824C22×C4×C73C2411yescharacteristic
825C22×C4×C73C2412yes—
826C22×C4×C73C2412yes—
827C22×C4×C73C2412yes—
828C22×C4×C73C2412yes—
829C22×C4×C73C2411yescharacteristic
830C22×C4×C73C2411yescharacteristic
831C22×C4×C73C2414yes—
832C22×C4×C73C2414yes—
833C4⋊C4×C73C2414yes—
834C4⋊C4×C73C2414yes—
835C4⋊C4×C73C2412yes—
836C4⋊C4×C73C2412yes—
837C4⋊C4×C73C2412yes—
838C4⋊C4×C73C2412yes—
839C4⋊C4×C73C2414yes—
840C4⋊C4×C73C2414yes—
841C22⋊C4×C73C2414yes—
842C22⋊C4×C73C2414yes—
843C22⋊C4×C73C2414yes—
844C22⋊C4×C73C2414yes—
845C22⋊C4×C73C2414yes—
846C22⋊C4×C73C2414yes—
847C22⋊C4×C73C2414yes—
848C22⋊C4×C73C2414yes—
849C22⋊C4×C73C2414yes—
850C22⋊C4×C73C2414yes—
851C22⋊C4×C73C2414yes—
852C22⋊C4×C73C2414yes—
853C22⋊C4×C73C2414yes—
854C22⋊C4×C73C2414yes—
855C42×C73C2414yes—
856C42×C73C2414yes—
857C23×C73—22no—
858C23×C73—22no—
859C23×C73—22no—
860C23×C73—24no—
861C23×C73—24no—
862C23×C73—24no—
863C23×C73—22no—
864C23×C73—24no—
865C23×C73—24no—
866C23×C73—41no—
867C23×C73—42no—
868C23×C73—41no—
869C23×C73—41no—
870C23×C73—42no—
871C23×C73—41no—
872C23×C73—42no—
873C23×C73—42no—
874C23×C73—416no—
875C23×C732−1+414yescomplemented
876C23×C73C2512yes—
877C23×C73C2514yes—
878C23×C73C2511yescharacteristic
879C23×C73C2512yes—
880C23×C73C2511yescharacteristic
881C23×C73C2511yescharacteristic
882C22×D73—24no—
883C22×D73—42no—
884C22×D73—42no—
885C22×D73C2514yes—
886Q8×C73—42no—
887Q8×C73—42no—
888D4×C73—28no—
889D4×C73—28no—
890D4×C73—28no—
891D4×C73—28no—
892D4×C73—44no—
893D4×C73—44no—
894D4×C73—42no—
895D4×C73—42no—
896C2×C4×C73—24no—
897C2×C4×C73—24no—
898C2×C4×C73—24no—
899C2×C4×C73—41no—
900C2×C4×C73—42no—
901C2×C4×C73—41no—
902C2×C4×C73—41no—
903C2×C4×C73—42no—
904C2×C4×C73—41no—
905C2×C4×C73—42no—
906C2×C4×C73—42no—
907C2×C4×C73—44no—
908C2×C4×C73—44no—
909C2×C4×C73C2514yes—
910C2×C4×C73C2512yes—
911C2×C4×C73C2512yes—
912C2×C4×C73C2514yes—
913C2×C4×C73C2514yes—
914C2×C4×C73C2512yes—
915C2×C4×C73C2512yes—
916C22⋊D73—28no—
917C22⋊D73—28no—
918C22⋊D73—28no—
919C22⋊D73—28no—
920C22⋊D73—28no—
921C22⋊D73—44no—
922C22⋊D73—44no—
923C22⋊D73—44no—
924C22⋊D73—44no—
925C22⋊D73—44no—
926C2×Dic73—22no—
927C2×Dic73—24no—
928C2×Dic73—24no—
929C2×Dic73—24no—
930C2×Dic73—24no—
931C2×Dic73—24no—
932C2×Dic73—24no—
933C2×Dic73—24no—
934C2×Dic73—24no—
935C2×Dic73—24no—
936C2×Dic73—24no—
937C2×Dic73—28no—
938C2×Dic73—42no—
939C2×Dic73—42no—
940C2×Dic73—42no—
941C2×Dic73—42no—
942C2×Dic73—41no—
943C2×Dic73—42no—
944C2×Dic73—41no—
945C2×Dic73—42no—
946C2×Dic73—42no—
947C2×Dic73—42no—
948C2×Dic73—42no—
949C2×Dic73—42no—
950C2×Dic73—44no—
951C2×Dic73—42no—
952C2×Dic73—44no—
953C2×Dic73—44no—
954C2×Dic73H(5,𝔽2)14yes—
955C2×Dic73C2514yes—
956C2×Dic73C2512yes—
957C2×Dic73C2514yes—
958C2×Dic73C2514yes—
959C2×Dic73C2514yes—
960C2×Dic73C2514yes—
961C2×Dic73C2512yes—
962C2×Dic73C2512yes—
963C2×Dic73C2512yes—
964D292—42no—
965D292—42no—
966C4×D73—28no—
967C4×D73—44no—
968C4×D73—44no—
969C4×D73—44no—
970C4×D73—44no—
971C4×D73—44no—
972Dic146—28no—
973Dic146—28no—
974Dic146—28no—
975Dic146—44no—
976Dic146—44no—
977Dic146—44no—
978Dic146—42no—
979Dic146—44no—
980Dic146—44no—
981Dic146—42no—
982C22×C73—28no—
983C22×C73—21no—
984C22×C73—21no—
985C22×C73—22no—
986C22×C73—21no—
987C22×C73—21no—
988C22×C73—21no—
989C22×C73—21no—
990C22×C73—22no—
991C22×C73—22no—
992C22×C73—24no—
993C22×C73—24no—
994C22×C73—22no—
995C22×C73—24no—
996C22×C73—22no—
997C22×C73—44no—
998C22×C73—48no—
999C22×C73—48no—
1000C22×C73—44no—
1001C22×C73—84no—
1002C22×C73C2×H(5,𝔽2)12yes—
1003C22×C73C2×2−1+414yes—
1004C22×C73C2×2−1+412yes—
1005C22×C73#58512yes—
1006C22×C73C2611yescharacteristic
1007C2×D73—24no—
1008C2×D73—24no—
1009C2×D73—24no—
1010C2×D73—84no—
1011C4×C73—22no—
1012C4×C73—22no—
1013C4×C73—24no—
1014C4×C73—24no—
1015C4×C73—24no—
1016C4×C73—22no—
1017C4×C73—22no—
1018Dic73—24no—
1019Dic73—24no—
1020Dic73—22no—
1021Dic73—22no—
1022Dic73—22no—
1023Dic73—24no—
1024Dic73—24no—
1025Dic73—24no—
1026Dic73C2×H(5,𝔽2)14yes—
1027#62819—731nomaximal, Sylow
1028C2×C73—24no—
1029C2×C73—22no—
1030C2×C73—22no—
1031C2×C73—22no—
1032C2×C73—42no—
1033C2×C73—44no—
1034C2×C73C22×H(5,𝔽2)11yescharacteristic
1035C2×C73C22×2−1+411yescharacteristic
1036C2×C73C2×#58511yescharacteristic
1037D73—44no—
1038#3541—734no—
1039#3541—734no—
1040#3538—734no—
1041#3536—734no—
1042#3535—734no—
1043#3535—734no—
1044#3520—734no—
1045#3520—734no—
1046#3505—732no—
1047#3505—732no—
1048#3501—732no—
1049#3501—732no—
1050#3495—734no—
1051#3492—732no—
1052#3492—732no—
1053#3492—732no—
1054#3490—732no—
1055#3490—731no—
1056#3490D7311yescharacteristic, complemented
1057#3489—734no—
1058#3486—732no—
1059C2×#525—732no—
1060C22×C22⋊Q8—731no—
1061C73#6281911yescharacteristic, complemented, Sylow
1062C2×2−1+4—732no—
1063C22×#41—732no—
1064C23×Q8—731no—
1065C24×C4—731no—
1066#563—734no—
1067#563—734no—
1068#563—734no—
1069#563—734no—
1070#562—734no—
1071#562—734no—
1072#562—734no—
1073#562—734no—
1074#556—734no—
1075#556—734no—
1076#554—734no—
1077#554—734no—
1078#554—734no—
1079#554—734no—
1080#554—734no—
1081#554—734no—
1082#554—734no—
1083#554—734no—
1084#554—734no—
1085#554—734no—
1086#554—734no—
1087#554—734no—
1088#553—734no—
1089#553—734no—
1090#553—734no—
1091#553—734no—
1092#553—734no—
1093#553—734no—
1094#552—734no—
1095#552—734no—
1096#552—734no—
1097#552—734no—
1098#552—734no—
1099#552—734no—
1100#552—734no—
1101#552—734no—
1102#552—734no—
1103#552—734no—
1104#551—734no—
1105#551—734no—
1106#551—734no—
1107#551—734no—
1108#551—734no—
1109#551—734no—
1110#551—734no—
1111#551—734no—
1112#551—734no—
1113#551—734no—
1114#551C2×D7314yescomplemented
1115#551C2×D7314yescomplemented
1116D4×Q8—734no—
1117D4×Q8—734no—
1118D4×Q8—734no—
1119D4×Q8—734no—
1120D4×Q8—734no—
1121D4×Q8—734no—
1122#548—734no—
1123#548—734no—
1124#548—734no—
1125#548—734no—
1126#548—734no—
1127#548—734no—
1128#547—734no—
1129#547—734no—
1130#547—734no—
1131#547—734no—
1132#547—734no—
1133#547—734no—
1134#547—734no—
1135#547—734no—
1136#546—734no—
1137#546—734no—
1138#546—734no—
1139#546—734no—
1140#546—734no—
1141#546—734no—
1142#546—734no—
1143#546—734no—
1144#546C2×D7314yescomplemented
1145#546C2×D7314yescomplemented
1146#544—732no—
1147#544—732no—
1148#544—734no—
1149#544—732no—
1150#544—734no—
1151#543—734no—
1152#543—732no—
1153#543—731no—
1154#543—734no—
1155#543C2×D7311yescharacteristic
1156#542—734no—
1157#542—734no—
1158#542—734no—
1159#542—734no—
1160#542—734no—
1161#542—734no—
1162#541—734no—
1163#541—734no—
1164#539—734no—
1165#539—734no—
1166#539—734no—
1167#539—734no—
1168#539—734no—
1169#539—734no—
1170#539—732no—
1171#539—732no—
1172#539—732no—
1173#539—732no—
1174#539—734no—
1175#539—734no—
1176#539—734no—
1177#539—734no—
1178#538—734no—
1179#538—734no—
1180#538—734no—
1181#538—734no—
1182#538—732no—
1183#538—732no—
1184#538C2×D7312yescomplemented
1185#538C2×D7312yescomplemented
1186#537—732no—
1187#537—732no—
1188#537—734no—
1189#537—732no—
1190#537—734no—
1191#536—732no—
1192#536—734no—
1193#536—734no—
1194#536—734no—
1195#536—734no—
1196#536—732no—
1197#534—732no—
1198#534—731no—
1199#534C2×D7311yescharacteristic
1200#533—734no—
1201#533—734no—
1202#529—734no—
1203#529—734no—
1204#525—732no—
1205#525—732no—
1206#525—734no—
1207#525—734no—
1208#525—734no—
1209#525—734no—
1210#525—734no—
1211#525—734no—
1212#525—734no—
1213#525—734no—
1214#525—734no—
1215#525—734no—
1216#525—734no—
1217#525—734no—
1218#525C2×D7312yescomplemented
1219#525C2×D7312yescomplemented
1220C2×#123—732no—
1221C2×#123—732no—
1222C2×C22⋊Q8—734no—
1223C2×C22⋊Q8—734no—
1224C2×C22⋊Q8—732no—
1225C2×C22⋊Q8—732no—
1226C2×C22⋊Q8—734no—
1227C2×C22⋊Q8—734no—
1228C2×C22⋊Q8—734no—
1229C2×C22⋊Q8—732no—
1230C2×C22⋊Q8—732no—
1231C2×C22⋊Q8—732no—
1232C2×C22⋊Q8—732no—
1233C2×C22⋊Q8—734no—
1234C2×#121—732no—
1235C2×#121—732no—
1236C2×#120—732no—
1237C2×#120C2×D7312yes—
1238#520—732no—
1239#520—734no—
1240#520—734no—
1241#520—732no—
1242#519—732no—
1243#518—732no—
1244#518—732no—
1245#518—732no—
1246#518C2×D7312yes—
1247C2×C4×D4—732no—
1248C2×C4×D4—732no—
1249C2×C4×D4—732no—
1250C2×C4×D4—732no—
1251C2×#117—732no—
1252C22×C4⋊C4—731no—
1253C22×C4⋊C4—731no—
1254C22×C4⋊C4—731no—
1255C22×C22⋊C4—731no—
1256C22×C22⋊C4C2×D7311yescharacteristic
1257C25C22×D7311yescharacteristic
12582−1+4—2928no—
1259C2×#41—2928no—
1260C2×#41—734no—
1261C2×#41—734no—
1262C2×#41—734no—
1263C2×#41—734no—
1264C2×#41—734no—
1265C2×#41—734no—
1266C2×#41—734no—
1267C2×#41—732no—
1268C2×#41—732no—
1269C2×#41—734no—
1270C2×#41C22×D7312yes—
1271C2×#41C22×D7312yes—
1272C22×Q8—2924no—
1273C22×Q8—734no—
1274C22×Q8—732no—
1275C22×Q8—732no—
1276C22×Q8—734no—
1277C22×Q8—732no—
1278C22×Q8—732no—
1279C22×Q8—734no—
1280C22×Q8—732no—
1281C22×D4—732no—
1282C22×D4—732no—
1283C22×D4—732no—
1284C22×D4—732no—
1285C22×D4C22×D7312yes—
1286C22×D4C22×D7312yes—
1287C22×D4C22×D7312yes—
1288C23×C4—2924no—
1289C23×C4—731no—
1290C23×C4—731no—
1291C23×C4—731no—
1292C23×C4—732no—
1293C23×C4—732no—
1294C23×C4—732no—
1295C23×C4—732no—
1296C23×C4—732no—
1297C23×C4—732no—
1298C23×C4—732no—
1299C23×C4—731no—
1300C23×C4—732no—
1301C23×C4C22×D7311yescharacteristic
1302C23×C4C22×D7311yescharacteristic
1303C4⋊Q8—734no—
1304C4⋊Q8—734no—
1305C4⋊Q8—734no—
1306C4⋊Q8—734no—
1307C4⋊Q8—734no—
1308C4⋊Q8—734no—
1309C4⋊Q8—734no—
1310C4⋊Q8—734no—
1311C4⋊Q8—734no—
1312C4⋊Q8—734no—
1313C4⋊Q8—734no—
1314C4⋊Q8—734no—
1315#126—734no—
1316#126—734no—
1317#126—734no—
1318#126—734no—
1319#126—734no—
1320#126—734no—
1321#126—734no—
1322#126—734no—
1323#126—734no—
1324#126—734no—
1325#126—734no—
1326#126—734no—
1327#126—734no—
1328#126—734no—
1329#126—734no—
1330#126—734no—
1331#126—734no—
1332#126—734no—
1333#126C22×D7314yes—
1334#126C22×D7314yes—
1335#125—734no—
1336#125—734no—
1337#125—734no—
1338#125—734no—
1339#125—734no—
1340#125—734no—
1341#125—734no—
1342#125—734no—
1343#125—734no—
1344#125—734no—
1345#125—734no—
1346#125—734no—
1347#125—734no—
1348#125—734no—
1349#125—734no—
1350#125—734no—
1351#125—734no—
1352#125—734no—
1353#124—734no—
1354#124—734no—
1355#124—734no—
1356#124—734no—
1357#124—734no—
1358#124—734no—
1359#124—734no—
1360#124—734no—
1361#124—734no—
1362#124—734no—
1363#124—734no—
1364#124—734no—
1365#124C22×D7314yes—
1366#124C22×D7314yes—
1367#123—734no—
1368#123—734no—
1369#123—734no—
1370#123—734no—
1371#123—734no—
1372#123—734no—
1373#123—734no—
1374#123—734no—
1375#123—734no—
1376#123—734no—
1377#123—734no—
1378#123—734no—
1379#123—734no—
1380#123—734no—
1381#123—734no—
1382#123—734no—
1383#123—734no—
1384#123—734no—
1385#123—734no—
1386#123—734no—
1387#123—734no—
1388#123—734no—
1389#123—734no—
1390#123—734no—
1391#123—734no—
1392#123—734no—
1393#123—734no—
1394#123—734no—
1395#123—734no—
1396#123—734no—
1397#123—734no—
1398#123—734no—
1399#123—734no—
1400#123—734no—
1401#123—734no—
1402#123C22×D7314yes—
1403#123C22×D7314yes—
1404#123C22×D7314yes—
1405#123C22×D7314yes—
1406#123C22×D7314yes—
1407C22⋊Q8—734no—
1408C22⋊Q8—734no—
1409C22⋊Q8—734no—
1410C22⋊Q8—734no—
1411C22⋊Q8—732no—
1412C22⋊Q8—732no—
1413C22⋊Q8—732no—
1414C22⋊Q8—732no—
1415C22⋊Q8—734no—
1416C22⋊Q8—734no—
1417C22⋊Q8—734no—
1418C22⋊Q8—734no—
1419C22⋊Q8—734no—
1420C22⋊Q8—734no—
1421C22⋊Q8—734no—
1422C22⋊Q8—734no—
1423C22⋊Q8—734no—
1424C22⋊Q8—734no—
1425C22⋊Q8—734no—
1426C22⋊Q8—734no—
1427C22⋊Q8—734no—
1428C22⋊Q8—734no—
1429C22⋊Q8—734no—
1430C22⋊Q8—734no—
1431C22⋊Q8—734no—
1432C22⋊Q8—734no—
1433C22⋊Q8—734no—
1434C22⋊Q8—734no—
1435C22⋊Q8—734no—
1436C22⋊Q8—734no—
1437C22⋊Q8—734no—
1438C22⋊Q8—734no—
1439C22⋊Q8—734no—
1440C22⋊Q8—734no—
1441C22⋊Q8—734no—
1442C22⋊Q8—734no—
1443C22⋊Q8—734no—
1444C22⋊Q8—734no—
1445C22⋊Q8—734no—
1446C22⋊Q8—734no—
1447C22⋊Q8—734no—
1448C22⋊Q8—734no—
1449C22⋊Q8—734no—
1450C22⋊Q8—734no—
1451C22⋊Q8—734no—
1452C22⋊Q8—734no—
1453C22⋊Q8—734no—
1454C22⋊Q8—734no—
1455C22⋊Q8—734no—
1456C22⋊Q8—734no—
1457C22⋊Q8—734no—
1458C22⋊Q8—734no—
1459C22⋊Q8—734no—
1460C22⋊Q8—734no—
1461C22⋊Q8—734no—
1462C22⋊Q8—734no—
1463C22⋊Q8—734no—
1464C22⋊Q8—734no—
1465C22⋊Q8—734no—
1466C22⋊Q8—734no—
1467C22⋊Q8—734no—
1468C22⋊Q8—734no—
1469C22⋊Q8—734no—
1470C22⋊Q8—734no—
1471C22⋊Q8—734no—
1472C22⋊Q8—734no—
1473C22⋊Q8—734no—
1474C22⋊Q8—734no—
1475C22⋊Q8C22×D7314yes—
1476C22⋊Q8C22×D7312yes—
1477C22⋊Q8C22×D7312yes—
1478C22⋊Q8C22×D7312yes—
1479C22⋊Q8C22×D7312yes—
1480C22⋊Q8C22×D7314yes—
1481#121—734no—
1482#121—734no—
1483#121—734no—
1484#121—734no—
1485#121—734no—
1486#121—734no—
1487#121—734no—
1488#121—734no—
1489#121—734no—
1490#121—734no—
1491#121—734no—
1492#121—734no—
1493#121—734no—
1494#121—734no—
1495#121—734no—
1496#121—734no—
1497#121—734no—
1498#121—734no—
1499#121—734no—
1500#121—732no—
1501#121—732no—
1502#121—732no—
1503#121—732no—
1504#121—734no—
1505#121—734no—
1506#121—734no—
1507#121—734no—
1508#121—734no—
1509#121C22×D7312yes—
1510#121C22×D7312yes—
1511#121C22×D7312yes—
1512#121C22×D7312yes—
1513#121C22×D7314yes—
1514#121C22×D7314yes—
1515#120—734no—
1516#120—734no—
1517#120—734no—
1518#120—734no—
1519#120—734no—
1520#120—734no—
1521#120—734no—
1522#120C22×D7314yes—
1523#120C22×D7314yes—
1524#120C22×D7314yes—
1525#120C22×D7314yes—
1526#120C22×D7314yes—
1527C4×Q8—734no—
1528C4×Q8—734no—
1529C4×Q8—734no—
1530C4×Q8—734no—
1531C4×Q8—734no—
1532C4×Q8—734no—
1533C4×Q8—734no—
1534C4×Q8—734no—
1535C4×Q8—734no—
1536C4×Q8—734no—
1537C4×D4—734no—
1538C4×D4—734no—
1539C4×D4—734no—
1540C4×D4—734no—
1541C4×D4—734no—
1542C4×D4—734no—
1543C4×D4—734no—
1544C4×D4—734no—
1545C4×D4—734no—
1546C4×D4—734no—
1547C4×D4—734no—
1548C4×D4—734no—
1549C4×D4—734no—
1550C4×D4—734no—
1551C4×D4—734no—
1552C4×D4—734no—
1553C4×D4—734no—
1554C4×D4—734no—
1555C4×D4—734no—
1556C4×D4—734no—
1557C4×D4—734no—
1558C4×D4—734no—
1559C4×D4—734no—
1560C4×D4—734no—
1561C4×D4—734no—
1562C4×D4—734no—
1563C4×D4—734no—
1564C4×D4—734no—
1565C4×D4—734no—
1566C4×D4—734no—
1567C4×D4—734no—
1568C4×D4—734no—
1569C4×D4—734no—
1570C4×D4—734no—
1571C4×D4—734no—
1572C4×D4—734no—
1573C4×D4—734no—
1574C4×D4—734no—
1575C4×D4—734no—
1576C4×D4—734no—
1577C4×D4C22×D7314yes—
1578C4×D4C22×D7314yes—
1579C4×D4C22×D7314yes—
1580C4×D4C22×D7314yes—
1581C4×D4C22×D7314yes—
1582C4×D4C22×D7314yes—
1583#117—734no—
1584#117—732no—
1585#117—732no—
1586#117—734no—
1587#117—734no—
1588#117—734no—
1589#117—734no—
1590#117—734no—
1591#117—734no—
1592#117—734no—
1593#117—734no—
1594#117—734no—
1595#117—734no—
1596#117—734no—
1597#117—734no—
1598#117—734no—
1599#117—734no—
1600#117C22×D7314yes—
1601#117C22×D7312yes—
1602#117C22×D7312yes—
1603C2×C4⋊C4—732no—
1604C2×C4⋊C4—732no—
1605C2×C4⋊C4—732no—
1606C2×C4⋊C4—732no—
1607C2×C4⋊C4—732no—
1608C2×C4⋊C4—732no—
1609C2×C4⋊C4—734no—
1610C2×C4⋊C4—734no—
1611C2×C4⋊C4—734no—
1612C2×C4⋊C4—732no—
1613C2×C4⋊C4—732no—
1614C2×C4⋊C4—732no—
1615C2×C4⋊C4—732no—
1616C2×C4⋊C4—732no—
1617C2×C4⋊C4—732no—
1618C2×C4⋊C4—732no—
1619C2×C4⋊C4—732no—
1620C2×C4⋊C4—732no—
1621C2×C4⋊C4—732no—
1622C2×C4⋊C4—732no—
1623C2×C4⋊C4—732no—
1624C2×C4⋊C4—734no—
1625C2×C4⋊C4—734no—
1626C2×C4⋊C4—734no—
1627C2×C4⋊C4—734no—
1628C2×C4⋊C4—734no—
1629C2×C4⋊C4—734no—
1630C2×C22⋊C4—732no—
1631C2×C22⋊C4—732no—
1632C2×C22⋊C4—734no—
1633C2×C22⋊C4—734no—
1634C2×C22⋊C4—732no—
1635C2×C22⋊C4—732no—
1636C2×C22⋊C4—732no—
1637C2×C22⋊C4—732no—
1638C2×C22⋊C4—732no—
1639C2×C22⋊C4—734no—
1640C2×C22⋊C4—732no—
1641C2×C22⋊C4—732no—
1642C2×C22⋊C4—734no—
1643C2×C22⋊C4—734no—
1644C2×C22⋊C4C22×D7311yescharacteristic
1645C2×C22⋊C4C22×D7311yescharacteristic
1646C2×C22⋊C4C22×D7311yescharacteristic
1647C2×C22⋊C4C22×D7311yescharacteristic
1648C2×C22⋊C4C22×D7314yes—
1649C2×C22⋊C4C22×D7314yes—
1650C2×C22⋊C4C22×D7312yes—
1651C2×C22⋊C4C22×D7312yes—
1652C2×C22⋊C4C22×D7312yes—
1653C2×C22⋊C4C22×D7314yes—
1654C2×C42—732no—
1655C2×C42—732no—
1656C24—24no—
1657C24—42no—
1658C24—42no—
1659C24—732no—
1660C24C23×D7311yescharacteristic
1661C24C23×D7312yes—
1662C24C23×D7312yes—
1663C24C23×D7312yes—
1664C24C23×D7311yescharacteristic
1665C24C23×D7311yescharacteristic
1666#41—44no—
1667#41—44no—
1668#41—2924no—
1669#41—2924no—
1670#41—2928no—
1671#41—2928no—
1672#41—2928no—
1673#41—2928no—
1674#41—2928no—
1675#41—2928no—
1676#41—2928no—
1677#41—14616no—
1678C2×Q8—2924no—
1679C2×Q8—2924no—
1680C2×Q8—2928no—
1681C2×Q8—2924no—
1682C2×Q8—2924no—
1683C2×Q8—2928no—
1684C2×Q8—2928no—
1685C2×Q8—732no—
1686C2×Q8—734no—
1687C2×Q8—734no—
1688C2×Q8—734no—
1689C2×Q8—734no—
1690C2×Q8—734no—
1691C2×Q8—732no—
1692C2×Q8—734no—
1693C2×Q8—734no—
1694C2×Q8—734no—
1695C2×Q8—1468no—
1696C2×Q8C23×D7312yes—
1697C2×Q8C23×D7312yes—
1698C2×D4—28no—
1699C2×D4—44no—
1700C2×D4—44no—
1701C2×D4—2924no—
1702C2×D4—2924no—
1703C2×D4—2924no—
1704C2×D4—734no—
1705C2×D4—734no—
1706C2×D4—734no—
1707C2×D4—734no—
1708C2×D4—734no—
1709C2×D4—734no—
1710C2×D4—734no—
1711C2×D4—734no—
1712C2×D4—734no—
1713C2×D4—734no—
1714C2×D4—732no—
1715C2×D4—732no—
1716C2×D4—1468no—
1717C2×D4C23×D7314yes—
1718C2×D4C23×D7314yes—
1719C2×D4C23×D7314yes—
1720C2×D4C23×D7314yes—
1721C2×D4C23×D7312yes—
1722C2×D4C23×D7314yes—
1723C2×D4C23×D7312yes—
1724C2×D4C23×D7314yes—
1725C22×C4—42no—
1726C22×C4—42no—
1727C22×C4—2924no—
1728C22×C4—2924no—
1729C22×C4—2922no—
1730C22×C4—2922no—
1731C22×C4—2922no—
1732C22×C4—2924no—
1733C22×C4—2924no—
1734C22×C4—2924no—
1735C22×C4—2924no—
1736C22×C4—2924no—
1737C22×C4—732no—
1738C22×C4—732no—
1739C22×C4—732no—
1740C22×C4—732no—
1741C22×C4—732no—
1742C22×C4—732no—
1743C22×C4—732no—
1744C22×C4—732no—
1745C22×C4—734no—
1746C22×C4—734no—
1747C22×C4—731no—
1748C22×C4—732no—
1749C22×C4—731no—
1750C22×C4—734no—
1751C22×C4—732no—
1752C22×C4—732no—
1753C22×C4—734no—
1754C22×C4—734no—
1755C22×C4—734no—
1756C22×C4—734no—
1757C22×C4—734no—
1758C22×C4—731no—
1759C22×C4—732no—
1760C22×C4—732no—
1761C22×C4—732no—
1762C22×C4—732no—
1763C22×C4—732no—
1764C22×C4—732no—
1765C22×C4—732no—
1766C22×C4—732no—
1767C22×C4—731no—
1768C22×C4—734no—
1769C22×C4—732no—
1770C22×C4—732no—
1771C22×C4—734no—
1772C22×C4—1464no—
1773C22×C4—1468no—
1774C22×C4C23×D7312yes—
1775C22×C4C23×D7312yes—
1776C22×C4C23×D7312yes—
1777C22×C4C23×D7312yes—
1778C22×C4C23×D7311yescharacteristic
1779C22×C4C23×D7312yes—
1780C22×C4C23×D7311yescharacteristic
1781C22×C4C23×D7311yescharacteristic
1782C22×C4C23×D7312yes—
1783C22×C4C23×D7312yes—
1784C22×C4C23×D7311yescharacteristic
1785C22×C4C23×D7314yes—
1786C22×C4C23×D7314yes—
1787C4⋊C4—734no—
1788C4⋊C4—734no—
1789C4⋊C4—734no—
1790C4⋊C4—734no—
1791C4⋊C4—734no—
1792C4⋊C4—734no—
1793C4⋊C4—734no—
1794C4⋊C4—734no—
1795C4⋊C4—734no—
1796C4⋊C4—734no—
1797C4⋊C4—734no—
1798C4⋊C4—734no—
1799C4⋊C4—734no—
1800C4⋊C4—734no—
1801C4⋊C4—734no—
1802C4⋊C4—734no—
1803C4⋊C4—734no—
1804C4⋊C4—734no—
1805C4⋊C4—734no—
1806C4⋊C4—734no—
1807C4⋊C4—734no—
1808C4⋊C4—734no—
1809C4⋊C4—734no—
1810C4⋊C4—734no—
1811C4⋊C4—734no—
1812C4⋊C4—734no—
1813C4⋊C4—734no—
1814C4⋊C4—734no—
1815C4⋊C4—734no—
1816C4⋊C4—734no—
1817C4⋊C4—734no—
1818C4⋊C4—734no—
1819C4⋊C4—734no—
1820C4⋊C4—732no—
1821C4⋊C4—734no—
1822C4⋊C4—734no—
1823C4⋊C4—734no—
1824C4⋊C4—734no—
1825C4⋊C4—734no—
1826C4⋊C4—732no—
1827C4⋊C4—734no—
1828C4⋊C4—734no—
1829C4⋊C4—732no—
1830C4⋊C4—732no—
1831C4⋊C4C23×D7312yes—
1832C4⋊C4C23×D7314yes—
1833C4⋊C4C23×D7314yes—
1834C4⋊C4C23×D7312yes—
1835C4⋊C4C23×D7314yes—
1836C4⋊C4C23×D7314yes—
1837C4⋊C4C23×D7312yes—
1838C4⋊C4C23×D7312yes—
1839C22⋊C4—734no—
1840C22⋊C4—734no—
1841C22⋊C4—734no—
1842C22⋊C4—734no—
1843C22⋊C4—734no—
1844C22⋊C4—734no—
1845C22⋊C4—734no—
1846C22⋊C4—734no—
1847C22⋊C4—734no—
1848C22⋊C4—734no—
1849C22⋊C4—734no—
1850C22⋊C4—734no—
1851C22⋊C4—734no—
1852C22⋊C4—734no—
1853C22⋊C4—734no—
1854C22⋊C4—734no—
1855C22⋊C4—734no—
1856C22⋊C4—734no—
1857C22⋊C4—734no—
1858C22⋊C4—734no—
1859C22⋊C4—734no—
1860C22⋊C4—734no—
1861C22⋊C4—734no—
1862C22⋊C4—734no—
1863C22⋊C4—734no—
1864C22⋊C4—734no—
1865C22⋊C4—734no—
1866C22⋊C4—734no—
1867C22⋊C4—734no—
1868C22⋊C4—734no—
1869C22⋊C4C23×D7314yes—
1870C22⋊C4C23×D7314yes—
1871C22⋊C4C23×D7314yes—
1872C22⋊C4C23×D7314yes—
1873C22⋊C4C23×D7314yes—
1874C22⋊C4C23×D7314yes—
1875C22⋊C4C23×D7314yes—
1876C22⋊C4C23×D7314yes—
1877C22⋊C4C23×D7314yes—
1878C22⋊C4C23×D7314yes—
1879C22⋊C4C23×D7314yes—
1880C22⋊C4C23×D7314yes—
1881C22⋊C4C23×D7314yes—
1882C22⋊C4C23×D7314yes—
1883C42—734no—
1884C42—734no—
1885C42—734no—
1886C42—734no—
1887C42—734no—
1888C42—734no—
1889C42—734no—
1890C42—734no—
1891C42—734no—
1892C42—734no—
1893C42C23×D7314yes—
1894C42C23×D7314yes—
1895C23—22no—
1896C23—22no—
1897C23—22no—
1898C23—24no—
1899C23—24no—
1900C23—24no—
1901C23—22no—
1902C23—24no—
1903C23—24no—
1904C23—41no—
1905C23—42no—
1906C23—41no—
1907C23—41no—
1908C23—42no—
1909C23—41no—
1910C23—42no—
1911C23—42no—
1912C23—416no—
1913C23—2922no—
1914C23—2922no—
1915C23—734no—
1916C23—1464no—
1917C23#1455663814yescomplemented
1918C23C24×D7312yes—
1919C23C24×D7314yes—
1920C23C24×D7311yescharacteristic
1921C23C24×D7312yes—
1922C23C24×D7311yescharacteristic
1923C23C24×D7311yescharacteristic
1924Q8—42no—
1925Q8—42no—
1926Q8—2924no—
1927Q8—2924no—
1928Q8—2922no—
1929Q8—2924no—
1930Q8—2924no—
1931Q8—2922no—
1932Q8—2924no—
1933Q8—1468no—
1934Q8—1468no—
1935Q8—1468no—
1936D4—28no—
1937D4—28no—
1938D4—28no—
1939D4—28no—
1940D4—44no—
1941D4—44no—
1942D4—42no—
1943D4—42no—
1944D4—2922no—
1945D4—2922no—
1946D4—2924no—
1947D4—2924no—
1948D4—2924no—
1949D4—2924no—
1950D4—2924no—
1951D4—1468no—
1952D4—1468no—
1953D4—1468no—
1954D4—1468no—
1955D4—1468no—
1956C2×C4—24no—
1957C2×C4—24no—
1958C2×C4—24no—
1959C2×C4—41no—
1960C2×C4—42no—
1961C2×C4—41no—
1962C2×C4—41no—
1963C2×C4—42no—
1964C2×C4—41no—
1965C2×C4—42no—
1966C2×C4—42no—
1967C2×C4—44no—
1968C2×C4—44no—
1969C2×C4—2924no—
1970C2×C4—2924no—
1971C2×C4—2924no—
1972C2×C4—2924no—
1973C2×C4—2924no—
1974C2×C4—2921no—
1975C2×C4—2922no—
1976C2×C4—2922no—
1977C2×C4—2922no—
1978C2×C4—2921no—
1979C2×C4—2922no—
1980C2×C4—2922no—
1981C2×C4—2922no—
1982C2×C4—2922no—
1983C2×C4—2922no—
1984C2×C4—2924no—
1985C2×C4—2922no—
1986C2×C4—2922no—
1987C2×C4—2922no—
1988C2×C4—2924no—
1989C2×C4—2924no—
1990C2×C4—734no—
1991C2×C4—732no—
1992C2×C4—734no—
1993C2×C4—734no—
1994C2×C4—732no—
1995C2×C4—734no—
1996C2×C4—734no—
1997C2×C4—734no—
1998C2×C4—732no—
1999C2×C4—732no—
2000C2×C4—1468no—
2001C2×C4—1464no—
2002C2×C4—1464no—
2003C2×C4—1464no—
2004C2×C4—1464no—
2005C2×C4—1464no—
2006C2×C4—1464no—
2007C2×C4—1468no—
2008C2×C4—1462no—
2009C2×C4—1464no—
2010C2×C4—1464no—
2011C2×C4—1464no—
2012C2×C4—1464no—
2013C2×C4C24×D7314yes—
2014C2×C4C24×D7314yes—
2015C2×C4C24×D7312yes—
2016C2×C4C24×D7312yes—
2017C2×C4C24×D7314yes—
2018C2×C4C24×D7312yes—
2019C2×C4C24×D7312yes—
2020C22—28no—
2021C22—21no—
2022C22—21no—
2023C22—22no—
2024C22—21no—
2025C22—21no—
2026C22—21no—
2027C22—21no—
2028C22—22no—
2029C22—24no—
2030C22—22no—
2031C22—24no—
2032C22—22no—
2033C22—24no—
2034C22—22no—
2035C22—44no—
2036C22—48no—
2037C22—48no—
2038C22—44no—
2039C22—84no—
2040C22—5844no—
2041C22—1464no—
2042C22—1464no—
2043C22—1464no—
2044C22H(5,𝔽2)×D7312yes—
2045C22C2×#1455663814yes—
2046C22C2×#1455663812yes—
2047C22#1798942212yes—
2048C22C25×D7311yescharacteristic
2049C4—22no—
2050C4—22no—
2051C4—24no—
2052C4—24no—
2053C4—22no—
2054C4—22no—
2055C4—24no—
2056C4—734no—
2057C4—1462no—
2058C4—1462no—
2059C4—1462no—
2060C4—1464no—
2061C4—1464no—
2062C4—1464no—
2063C4—1464no—
2064C4—1464no—
2065C2—22no—
2066C2—22no—
2067C2—22no—
2068C2—24no—
2069C2—42no—
2070C2—44no—
2071C2—2924no—
2072C2C2×H(5,𝔽2)×D7311yescharacteristic
2073C2C22×#1455663811yescharacteristic
2074C2C2×#1798942211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3490C2
hypercenter#3490D73
hypocenterC73#62819
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3490

Complements

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

NH ≅ G/Ntype
1. #22624219C2semidirect
2. #22624211C2semidirect
3. #22624171C2semidirect
4. #22624146C2semidirect
5. #22624136C2semidirect
6. #22624128C2semidirect
7. #22623969C2semidirect
8. #22623967C2semidirect
9. #22623768C2semidirect
10. #22623761C2semidirect
11. #22623731C2semidirect
12. #22623729C2semidirect
13. #22623670C2semidirect
14. #22623637C2semidirect
15. #22623632C2semidirect
16. #22623632C2semidirect
17. #22623620C2semidirect
18. #22623618C2semidirect
19. #22623602C2semidirect
20. #22623578C2semidirect
21. C2×#17989093C2semidirect
22. C22×#14556568C2semidirect
23. C73×#3490C2semidirect
24. C2×#14556638C22semidirect
25. C22×#11924027C22semidirect
26. C23×Dic146C22semidirect
28. #17989340C22semidirect
29. #17989339C22semidirect
30. #17989339C22semidirect
31. #17989337C22semidirect
32. #17989334C22semidirect
33. #17989332C22semidirect
34. #17989332C22semidirect
35. #17989331C22semidirect
36. #17989306C22semidirect
37. #17989304C22semidirect
38. #17989296C22semidirect
39. #17989296C22semidirect
40. #17989296C22semidirect
41. #17989296C22semidirect
42. #17989295C22semidirect
43. #17989295C22semidirect
44. #17989294C22semidirect
45. #17989294C22semidirect
46. #17989291C22semidirect
47. #17989291C22semidirect
48. #17989291C22semidirect
49. #17989291C22semidirect
50. #17989289C22semidirect
51. #17989286C22semidirect
52. #17989286C22semidirect
53. #17989283C22semidirect
54. #17989280C22semidirect
55. #17989280C22semidirect
56. #17989279C22semidirect
57. #17989277C22semidirect
58. #17989274C22semidirect
59. #17989274C22semidirect
60. #17989274C22semidirect
61. #17989274C22semidirect
62. #17989273C22semidirect
63. #17989270C22semidirect
64. #17989270C22semidirect
65. #17989270C22semidirect
66. #17989268C22semidirect
67. #17989268C22semidirect
68. #17989268C22semidirect
69. #17989263C22semidirect
70. #17989263C22semidirect
71. #17989263C22semidirect
72. #17989263C22semidirect
73. #17989263C22semidirect
74. #17989261C22semidirect
75. #17989260C22semidirect
76. D4×Dic146C22semidirect
77. D4×Dic146C22semidirect
78. D4×Dic146C22semidirect
79. #17989250C22semidirect
80. #17989250C22semidirect
81. #17989250C22semidirect
82. #17989246C22semidirect
83. #17989246C22semidirect
84. #17989245C22semidirect
85. #17989243C22semidirect
86. #17989243C22semidirect
87. #17989243C22semidirect
88. #17989241C22semidirect
89. #17989237C22semidirect
90. #17989237C22semidirect
91. #17989236C22semidirect
92. #17989236C22semidirect
93. #17989235C22semidirect
94. #17989235C22semidirect
95. #17989235C22semidirect
96. #17989231C22semidirect
97. #17989231C22semidirect
98. #17989227C22semidirect
99. #17989227C22semidirect
100. #17989227C22semidirect
101. #17989224C22semidirect
102. #17989224C22semidirect
103. #17989224C22semidirect
104. #17989216C22semidirect
105. #17989216C22semidirect
106. #17989216C22semidirect
107. #17989215C22semidirect
108. #17989215C22semidirect
111. #17989213C22semidirect
112. #17989212C22semidirect
113. #17989206C22semidirect
114. #17989205C22semidirect
115. #17989204C22semidirect
116. #17989203C22semidirect
117. #17989201C22semidirect
118. #17989201C22semidirect
119. #17989194C22semidirect
120. #17989194C22semidirect
121. #17989186C22semidirect
122. #17989186C22semidirect
123. #17989182C22semidirect
124. #17989182C22semidirect
125. #17989182C22semidirect
126. #17989181C22semidirect
127. #17989181C22semidirect
128. #17989181C22semidirect
129. #17989181C22semidirect
130. #17989180C22semidirect
131. #17989179C22semidirect
132. #17989179C22semidirect
133. #17989179C22semidirect
134. #17989178C22semidirect
135. #17989175C22semidirect
136. #17989175C22semidirect
137. #17989172C22semidirect
138. #17989172C22semidirect
139. #17989172C22semidirect
140. #17989170C22semidirect
141. #17989166C22semidirect
142. #17989165C22semidirect
143. #17989164C22semidirect
144. #17989164C22semidirect
145. #17989164C22semidirect
146. #17989163C22semidirect
147. #17989159C22semidirect
148. #17989159C22semidirect
149. #17989159C22semidirect
150. #17989158C22semidirect
151. #17989157C22semidirect
154. #17989140C22semidirect
155. #17989139C22semidirect
156. #17989117C22semidirect
157. #17989114C22semidirect
158. #17989098C22semidirect
159. #17989098C22semidirect
160. #17989096C22semidirect
165. #17989093C22semidirect
166. #17989093C22semidirect
167. #17989093C22semidirect
168. #17989093C22semidirect
169. #17989093C22semidirect
170. #17989093C22semidirect
171. #17989093C22semidirect
172. C2×#14556575C22semidirect
173. C2×#14556572C22semidirect
177. C2×#14556568C22semidirect
178. C2×#14556568C22semidirect
179. C2×#14556568C22semidirect
180. C2×#14556568C22semidirect
181. C2×#14556568C22semidirect
182. C2×#14556568C22semidirect
183. C2×#14556568C22semidirect
184. C2×#14556568C22semidirect
185. C22⋊Q8×D73C22semidirect
187. C2×#14556563C22semidirect
189. #17989070C22semidirect
190. #17989067C22semidirect
191. #17989066C22semidirect
192. #17989066C22semidirect
193. #17989064C22semidirect
198. C2×D4×Dic73C22semidirect
200. C2×#14556551C22semidirect
201. C2×#14556547C22semidirect
202. C22×C4⋊Dic73C22semidirect
203. C22×#11924007C22semidirect
204. C22×#11924007C22semidirect
206. #551×C73C22semidirect
207. #551×C73C22semidirect
208. #546×C73C22semidirect
209. #546×C73C22semidirect
211. #538×C73C22semidirect
212. #538×C73C22semidirect
214. #525×C73C22semidirect
215. #525×C73C22semidirect
222. C2×#11924028C23semidirect
230. C2×#11924027C23semidirect
238. C22×Dic146C23semidirect
239. C2×Q8×D73C23semidirect
257. #14556591C23semidirect
258. #14556591C23semidirect
259. #14556590C23semidirect
260. #14556590C23semidirect
261. #14556590C23semidirect
262. #14556590C23semidirect
263. #14556590C23semidirect
264. #14556590C23semidirect
265. #14556590C23semidirect
266. #14556589C23semidirect
267. #14556589C23semidirect
268. #14556589C23semidirect
269. #14556586C23semidirect
270. #14556586C23semidirect
271. #14556586C23semidirect
272. #14556586C23semidirect
273. #14556585C23semidirect
274. #14556585C23semidirect
281. #14556584C23semidirect
282. #14556584C23semidirect
283. #14556584C23semidirect
284. #14556584C23semidirect
285. #14556584C23semidirect
286. #14556584C23semidirect
287. #14556583C23semidirect
288. #14556583C23semidirect
289. #14556583C23semidirect
290. #14556582C23semidirect
291. #14556582C23semidirect
292. #14556582C23semidirect
293. #14556582C23semidirect
294. #14556582C23semidirect
295. #14556581C23semidirect
296. #14556581C23semidirect
297. #14556581C23semidirect
298. #14556581C23semidirect
299. #14556581C23semidirect
300. #14556581C23semidirect
301. #14556581C23semidirect
302. #14556581C23semidirect
303. #14556581C23semidirect
304. #14556581C23semidirect
305. #14556579C23semidirect
308. #14556578C23semidirect
313. #14556577C23semidirect
314. #14556577C23semidirect
315. #14556577C23semidirect
316. #14556577C23semidirect
317. #14556576C23semidirect
318. #14556576C23semidirect
326. #14556575C23semidirect
327. #14556575C23semidirect
331. #14556574C23semidirect
332. #14556574C23semidirect
337. #14556573C23semidirect
338. #14556573C23semidirect
339. #14556573C23semidirect
340. #14556573C23semidirect
350. #14556572C23semidirect
351. #14556572C23semidirect
352. #14556571C23semidirect
353. #14556571C23semidirect
354. #14556571C23semidirect
355. #14556571C23semidirect
362. #14556570C23semidirect
363. #14556570C23semidirect
364. #14556570C23semidirect
365. #14556570C23semidirect
366. #14556570C23semidirect
367. #14556569C23semidirect
368. #14556569C23semidirect
369. #14556569C23semidirect
370. #14556569C23semidirect
371. #14556569C23semidirect
372. #14556569C23semidirect
373. #14556569C23semidirect
374. #14556569C23semidirect
407. #14556568C23semidirect
408. #14556568C23semidirect
409. #14556568C23semidirect
410. #14556568C23semidirect
411. #14556568C23semidirect
412. #14556568C23semidirect
413. #14556568C23semidirect
414. #14556568C23semidirect
415. #14556568C23semidirect
416. #14556568C23semidirect
417. #14556567C23semidirect
418. #14556567C23semidirect
419. #14556567C23semidirect
424. #14556565C23semidirect
427. #14556564C23semidirect
428. #14556564C23semidirect
443. #14556563C23semidirect
444. #14556563C23semidirect
447. #14556562C23semidirect
455. Q8×Dic73C23semidirect
456. C4×Dic146C23semidirect
457. C4×Dic146C23semidirect
458. C4×Dic146C23semidirect
459. C4×Dic146C23semidirect
460. C4×Dic146C23semidirect
461. #14556556C23semidirect
462. #14556556C23semidirect
463. #14556556C23semidirect
464. #14556556C23semidirect
465. C4×D292C23semidirect
480. D4×Dic73C23semidirect
487. C4×C22⋊D73C23semidirect
488. C4×C22⋊D73C23semidirect
503. #14556551C23semidirect
504. #14556551C23semidirect
508. #14556550C23semidirect
509. #14556549C23semidirect
510. #14556548C23semidirect
511. #14556548C23semidirect
520. #14556547C23semidirect
521. #14556547C23semidirect
529. C2×C4⋊Dic73C23semidirect
544. C2×#11924007C23semidirect
545. C2×#11924007C23semidirect
546. C4⋊C4×D73C23semidirect
547. C4⋊C4×D73C23semidirect
548. C4⋊C4×D73C23semidirect
875. C23×C732−1+4semidirect
1056. #3490D73semidirect
1061. C73#62819semidirect
1114. #551C2×D73semidirect
1115. #551C2×D73semidirect
1144. #546C2×D73semidirect
1145. #546C2×D73semidirect
1184. #538C2×D73semidirect
1185. #538C2×D73semidirect
1218. #525C2×D73semidirect
1219. #525C2×D73semidirect
1917. C23#14556638semidirect

Maximal subgroups

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

subgroupindex
#226242192
#226242112
#226241712
#226241462
#226241362
#226241282
#226239692
#226239672
#226237682
#226237612
#226237312
#226237292
#226236702
#226236372
#226236322
#226236202
#226236182
#226236022
#226235782
C2×#179890932
C22×#145565682
C73×#34902
#6281973