Finite Group Databasebeta

← #33994626

Subgroups — #33994626

Order 18688.

7242 conjugacy classes of subgroups.

The subgroup lattice has 2062 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624217C214yesmaximal, complemented
2#22624209C214yesmaximal, complemented
3#22624178C212yesmaximal, complemented
4#22624173C212yesmaximal, complemented
5#22624155C212yesmaximal, complemented
6#22624148C212yesmaximal, complemented
7#22624143C214yesmaximal, complemented
8#22624132C214yesmaximal, complemented
9#22623972C214yesmaximal, complemented
10#22623970C214yesmaximal, complemented
11#22623764C214yesmaximal, complemented
12#22623730C214yesmaximal, complemented
13#22623674C214yesmaximal, complemented
14#22623640C211yesmaximal, characteristic, complemented
15#22623632C212yesmaximal, complemented
16#22623632C212yesmaximal, complemented
17#22623614C212yesmaximal, complemented
18#22623614C212yesmaximal, complemented
19#22623605C214yesmaximal, complemented
20#22623578C212yesmaximal, complemented
21#525×D73C212yesmaximal, complemented
22C22×#14556569C211yesmaximal, characteristic, complemented
23C73×#3492C211yesmaximal, characteristic, complemented
24C2×#14556638C2212yescomplemented
25C2×#41×D73C2212yescomplemented
26C23×Dic146C2211yescharacteristic, complemented
27C23×C4×D73C2211yescharacteristic
28#17989341C2214yescomplemented
29#17989339C2214yescomplemented
30#17989338C2214yescomplemented
31#17989336C2214yescomplemented
32#17989335C2214yescomplemented
33#17989334C2214yescomplemented
34#17989333C2214yescomplemented
35#17989332C2214yescomplemented
36#17989309C2214yescomplemented
37#17989304C2214yescomplemented
38#17989297C2214yescomplemented
39#17989296C2214yescomplemented
40#17989296C2214yescomplemented
41#17989293C2214yescomplemented
42#17989293C2214yescomplemented
43#17989292C2214yescomplemented
44#17989292C2214yescomplemented
45#17989291C2214yescomplemented
46#17989291C2214yescomplemented
47#17989291C2214yescomplemented
48#17989291C2214yescomplemented
49#17989286C2214yescomplemented
50#17989286C2214yescomplemented
51#17989285C2214yescomplemented
52#17989280C2214yescomplemented
53#17989280C2214yescomplemented
54#17989274C2214yescomplemented
55#17989274C2214yescomplemented
56#17989273C2214yescomplemented
57#17989272C2214yescomplemented
58#17989270C2214yescomplemented
59#17989270C2214yescomplemented
60#17989270C2214yescomplemented
61#17989269C2214yescomplemented
62#17989269C2214yescomplemented
63#17989266C2214yescomplemented
64#17989266C2214yescomplemented
65#17989266C2214yescomplemented
66#17989265C2214yescomplemented
67#17989264C2214yescomplemented
68#17989264C2214yescomplemented
69#17989262C2214yescomplemented
70#17989261C2214yescomplemented
71#17989261C2214yescomplemented
72#17989261C2214yescomplemented
73#17989260C2214yescomplemented
74#17989260C2214yescomplemented
75D4×Dic146C2214yescomplemented
76D4×Dic146C2214yescomplemented
77#17989252C2214yescomplemented
78#17989250C2214yescomplemented
79#17989250C2214yescomplemented
80#17989250C2214yescomplemented
81#17989247C2214yescomplemented
82#17989246C2214yescomplemented
83#17989246C2214yescomplemented
84#17989246C2214yescomplemented
85#17989243C2214yescomplemented
86#17989243C2214yescomplemented
87#17989238C2214yescomplemented
88#17989238C2214yescomplemented
89#17989236C2214yescomplemented
90#17989236C2214yescomplemented
91#17989235C2214yescomplemented
92#17989235C2214yescomplemented
93#17989235C2214yescomplemented
94#17989232C2214yescomplemented
95#17989232C2214yescomplemented
96#17989229C2214yescomplemented
97#17989229C2214yescomplemented
98#17989229C2214yescomplemented
99#17989226C2214yescomplemented
100#17989226C2214yescomplemented
101#17989226C2214yescomplemented
102#17989225C2214yescomplemented
103#17989225C2214yescomplemented
104#17989218C2211yescharacteristic, complemented
105#17989217C2214yescomplemented
106#17989216C2212yescomplemented
107#17989216C2212yescomplemented
108#17989214C2214yescomplemented
109#17989212C2212yes—
110#17989212C2212yes—
111#17989212C2214yescomplemented
112#17989212C2214yescomplemented
113#17989209C2214yescomplemented
114#17989208C2214yescomplemented
115#17989207C2214yescomplemented
116#17989207C2214yescomplemented
117#17989205C2214yescomplemented
118#17989203C2214yescomplemented
119#17989196C2214yescomplemented
120#17989196C2214yescomplemented
121#17989186C2212yescomplemented
122#17989186C2212yescomplemented
123#17989185C2214yescomplemented
124#17989185C2214yescomplemented
125#17989184C2212yescomplemented
126#17989184C2212yescomplemented
127#17989184C2214yescomplemented
128#17989182C2212yescomplemented
129#17989182C2212yescomplemented
130#17989180C2214yescomplemented
131#17989179C2214yescomplemented
132#17989179C2214yescomplemented
133#17989179C2214yescomplemented
134#17989178C2214yescomplemented
135#17989177C2212yescomplemented
136#17989177C2212yescomplemented
137#17989176C2214yescomplemented
138#17989174C2212yescomplemented
139#17989174C2212yescomplemented
140#17989170C2214yescomplemented
141#17989170C2214yescomplemented
142#17989169C2214yescomplemented
143#17989168C2211yescharacteristic, complemented
144#17989167C2214yescomplemented
145#17989164C2212yescomplemented
146#17989164C2212yescomplemented
147#17989164C2214yescomplemented
148#17989163C2212yescomplemented
149#17989162C2214yescomplemented
150#17989159C2214yescomplemented
151#17989159C2214yescomplemented
152#17989159C2214yescomplemented
153#17989158C2212yescomplemented
154#17989145C2212yes—
155#17989145C2212yes—
156#17989143C2214yescomplemented
157#17989141C2214yescomplemented
158#17989120C2214yescomplemented
159#17989115C2214yescomplemented
160#17989100C2212yes—
161#17989100C2212yescomplemented
162#17989099C2212yes—
163#17989098C2212yescomplemented
164#17989098C2212yescomplemented
165#17989098C2212yescomplemented
166#17989097C2212yes—
167#17989097C2212yescomplemented
168#17989096C2214yes—
169#17989096C2214yescomplemented
170#17989096C2214yescomplemented
171#17989095C2214yes—
172#17989095C2214yescomplemented
173#17989094C2212yes—
174#17989093C2214yescomplemented
175#17989093C2214yescomplemented
176#17989093C2214yescomplemented
177#123×D73C2214yescomplemented
178C2×#14556569C2214yes—
179C2×#14556569C2214yescomplemented
180C2×#14556569C2214yescomplemented
181C2×#14556569C2212yescomplemented
182C2×#14556569C2212yescomplemented
183C2×#14556569C2214yescomplemented
184C2×#14556569C2212yescomplemented
185C2×#14556569C2212yescomplemented
186C2×#14556569C2214yescomplemented
187C22⋊Q8×D73C2212yes—
188C22⋊Q8×D73C2212yescomplemented
189C22⋊Q8×D73C2214yescomplemented
190#121×D73C2212yes—
191#121×D73C2212yescomplemented
192#120×D73C2214yes—
193#17989068C2212yescomplemented
194#17989066C2214yescomplemented
195#17989066C2214yescomplemented
196#17989064C2212yescomplemented
197#17989059C2214yes—
198#17989059C2214yes—
199C4×D4×D73C2214yes—
200C4×D4×D73C2214yescomplemented
201#117×D73C2212yescomplemented
202C22×#11924007C2211yescharacteristic, complemented
203C22×#11924007C2211yescharacteristic, complemented
204C22×#11924005C2211yescharacteristic
205C22×#11924005C2211yescharacteristic
206#554×C73C2214yescomplemented
207#553×C73C2214yescomplemented
208#552×C73C2214yescomplemented
209#547×C73C2214yescomplemented
210#544×C73C2211yescharacteristic, complemented
211#539×C73C2212yescomplemented
212#539×C73C2212yescomplemented
213#537×C73C2211yescharacteristic, complemented
214#525×C73C2212yescomplemented
215#525×C73C2212yescomplemented
216#525×C73C2212yescomplemented
217#520×C73C2212yescomplemented
218C22×C4⋊C4×C73C2211yescharacteristic, complemented
219C24×D73C2311yescharacteristic
220#14556638—48no—
221C2×#11924029C2312yes—
222C2×#11924028C2312yes—
223C2×#11924028C2314yes—
224C2×#11924028C2312yes—
225C2×#11924028C2312yes—
226C2×#11924028C2314yescomplemented
227C2×#11924027C2314yes—
228C2×#11924027C2312yes—
229C2×#11924027C2314yes—
230C2×#11924027C2314yes—
231C2×#11924027C2314yescomplemented
232#41×D73—48no—
233C22×Dic146—44no—
234C22×Dic146C2312yes—
235C22×Dic146C2312yes—
236C22×Dic146C2312yes—
237C22×Dic146C2314yes—
238C22×Dic146C2312yes—
239C22×Dic146C2314yescomplemented
240C2×Q8×D73C2312yes—
241C2×Q8×D73C2314yescomplemented
242C2×D4×D73C2314yes—
243C2×D4×D73C2314yes—
244C2×D4×D73C2312yes—
245C2×D4×D73C2314yes—
246C23×Dic73C2311yescharacteristic
247C23×Dic73C2311yescharacteristic
248C23×Dic73C2311yescharacteristic
249C22×C4×D73—44no—
250C22×C4×D73C2312yes—
251C22×C4×D73C2312yes—
252C22×C4×D73C2312yes—
253C22×C4×D73C2312yes—
254C22×C4×D73C2312yes—
255C22×C4×D73C2312yes—
256C22×C4×D73C2314yes—
257#14556591C2314yescomplemented
258#14556590C2314yescomplemented
259#14556590C2314yescomplemented
260#14556590C2314yescomplemented
261#14556590C2314yescomplemented
262#14556590C2314yescomplemented
263#14556590C2314yescomplemented
264#14556590C2314yescomplemented
265#14556589C2314yescomplemented
266#14556589C2314yescomplemented
267#14556589C2314yescomplemented
268#14556586C2314yes—
269#14556586C2314yes—
270#14556586C2314yes—
271#14556586C2314yes—
272#14556586C2314yes—
273#14556586C2314yes—
274#14556586C2314yescomplemented
275#14556586C2314yescomplemented
276#14556586C2314yescomplemented
277#14556586C2314yescomplemented
278#14556585C2314yes—
279#14556585C2314yes—
280#14556585C2314yescomplemented
281#14556585C2314yescomplemented
282#14556584C2314yescomplemented
283#14556584C2314yescomplemented
284#14556584C2314yescomplemented
285#14556584C2314yescomplemented
286#14556583C2314yescomplemented
287#14556583C2314yescomplemented
288#14556582C2314yescomplemented
289#14556582C2314yescomplemented
290#14556582C2314yescomplemented
291#14556581C2314yescomplemented
292#14556581C2314yescomplemented
293#14556581C2314yescomplemented
294#14556581C2314yescomplemented
295#14556581C2314yescomplemented
296#14556581C2314yescomplemented
297#14556581C2314yescomplemented
298#14556581C2314yescomplemented
299#14556581C2314yescomplemented
300#14556581C2314yescomplemented
301#14556580C2314yes—
302#14556580C2314yes—
303#14556579C2314yes—
304#14556579C2314yes—
305#14556579C2314yescomplemented
306#14556578C2314yescomplemented
307#14556577C2314yes—
308#14556577C2314yes—
309#14556577C2314yes—
310#14556577C2314yes—
311#14556577C2314yescomplemented
312#14556577C2314yescomplemented
313#14556577C2314yescomplemented
314#14556577C2314yescomplemented
315#14556576C2314yes—
316#14556576C2314yes—
317#14556576C2314yes—
318#14556576C2314yes—
319#14556576C2314yes—
320#14556576C2314yes—
321#14556576C2314yes—
322#14556576C2314yes—
323#14556576C2314yescomplemented
324#14556576C2314yescomplemented
325#14556576C2314yescomplemented
326#14556576C2314yescomplemented
327#14556575C2314yes—
328#14556575C2314yes—
329#14556575C2314yes—
330#14556575C2314yes—
331#14556575C2314yes—
332#14556574C2314yes—
333#14556574C2314yes—
334#14556574C2314yes—
335#14556574C2314yes—
336#14556574C2314yes—
337#14556574C2314yescomplemented
338#14556574C2314yescomplemented
339#14556573C2314yes—
340#14556573C2314yes—
341#14556573C2314yes—
342#14556573C2314yes—
343#14556573C2314yescomplemented
344#14556573C2314yescomplemented
345#14556572C2314yes—
346#14556572C2314yes—
347#14556572C2314yes—
348#14556572C2314yescomplemented
349#14556572C2314yescomplemented
350#14556571C2314yes—
351#14556571C2314yes—
352#14556571C2312yes—
353#14556571C2312yes—
354#14556571C2314yescomplemented
355#14556571C2314yescomplemented
356#14556571C2314yescomplemented
357#14556570C2312yes—
358#14556570C2312yes—
359#14556570C2312yes—
360#14556570C2312yes—
361#14556570C2312yes—
362#14556570C2312yes—
363#14556570C2314yescomplemented
364#14556570C2314yescomplemented
365#14556570C2314yescomplemented
366#14556570C2314yescomplemented
367#14556569C2314yes—
368#14556569C2314yes—
369#14556569C2314yes—
370#14556569C2314yes—
371#14556569C2314yes—
372#14556569C2314yes—
373#14556569C2314yes—
374#14556569C2314yes—
375#14556569C2314yes—
376#14556569C2314yes—
377#14556569C2314yes—
378#14556569C2314yes—
379#14556569C2314yes—
380#14556569C2314yes—
381#14556569C2314yes—
382#14556569C2314yes—
383#14556569C2314yes—
384#14556569C2314yes—
385#14556569C2314yes—
386#14556569C2314yes—
387#14556569C2314yes—
388#14556569C2314yes—
389#14556569C2314yescomplemented
390#14556569C2314yescomplemented
391#14556569C2314yescomplemented
392#14556569C2314yescomplemented
393#14556569C2314yescomplemented
394#14556569C2314yescomplemented
395#14556569C2314yescomplemented
396#14556569C2314yescomplemented
397#14556569C2314yescomplemented
398#14556569C2314yescomplemented
399#14556568C2314yes—
400#14556568C2314yes—
401#14556568C2314yes—
402#14556568C2314yes—
403#14556568C2314yes—
404#14556568C2314yes—
405#14556568C2314yescomplemented
406#14556568C2314yescomplemented
407#14556568C2314yescomplemented
408#14556568C2314yescomplemented
409#14556568C2314yescomplemented
410#14556568C2314yescomplemented
411#14556568C2314yescomplemented
412#14556568C2314yescomplemented
413#14556567C2314yes—
414#14556567C2314yes—
415#14556567C2312yes—
416#14556567C2312yes—
417#14556567C2314yescomplemented
418#14556567C2314yescomplemented
419#14556566C2314yes—
420#14556566C2314yes—
421#14556566C2312yes—
422#14556566C2312yes—
423#14556566C2314yescomplemented
424#14556565C2312yes—
425#14556565C2312yes—
426#14556565C2312yes—
427#14556565C2314yes—
428#14556565C2312yes—
429#14556565C2314yes—
430#14556565C2312yes—
431#14556565C2312yes—
432#14556564C2314yes—
433#14556564C2314yes—
434#14556564C2314yes—
435#14556564C2314yes—
436#14556564C2314yescomplemented
437#14556564C2314yescomplemented
438#14556563C2314yes—
439#14556563C2314yes—
440#14556563C2314yes—
441#14556563C2314yes—
442#14556563C2314yes—
443#14556563C2314yes—
444#14556563C2314yes—
445#14556563C2314yes—
446#14556563C2314yescomplemented
447#14556563C2314yescomplemented
448#14556562C2312yes—
449#14556562C2312yes—
450#14556561C2314yes—
451#14556561C2314yes—
452#14556561C2314yes—
453#14556561C2314yes—
454#14556561C2314yes—
455#14556560C2314yes—
456#14556559C2314yes—
457#14556559C2314yes—
458#14556559C2314yes—
459#14556559C2314yes—
460#14556559C2314yes—
461C4×Dic146C2314yescomplemented
462C4×Dic146C2314yescomplemented
463C4×Dic146C2314yescomplemented
464C4×Dic146C2314yescomplemented
465#14556556C2314yescomplemented
466#14556556C2314yescomplemented
467#14556556C2314yescomplemented
468#14556556C2314yescomplemented
469#14556556C2314yescomplemented
470C4×D292C2314yes—
471C4×D292C2314yes—
472C4×D292C2314yes—
473C4×D292C2314yes—
474D4×Dic73C2314yes—
475D4×Dic73C2314yes—
476D4×Dic73C2314yes—
477D4×Dic73C2314yes—
478D4×Dic73C2314yes—
479D4×Dic73C2314yes—
480#14556553C2314yes—
481#14556553C2314yes—
482#14556553C2314yes—
483#14556553C2314yes—
484#14556553C2314yescomplemented
485C4×C22⋊D73C2314yes—
486C4×C22⋊D73C2314yes—
487C4×C22⋊D73C2314yes—
488C4×C22⋊D73C2314yes—
489C4×C22⋊D73C2314yes—
490C4×C22⋊D73C2314yes—
491C4×C22⋊D73C2314yes—
492C4×C22⋊D73C2314yes—
493C4×C22⋊D73C2314yes—
494C4×C22⋊D73C2314yes—
495C4×C22⋊D73C2314yescomplemented
496C4×C22⋊D73C2314yescomplemented
497#14556551C2314yes—
498#14556551C2314yes—
499#14556551C2314yes—
500#14556551C2314yes—
501#14556551C2314yes—
502#14556551C2314yes—
503#14556551C2314yes—
504#14556551C2314yes—
505#14556551C2314yes—
506#14556551C2314yes—
507#14556551C2314yescomplemented
508#14556551C2314yescomplemented
509#14556550C2312yes—
510#14556550C2312yes—
511#14556550C2312yes—
512#14556549C2314yes—
513#14556549C2314yes—
514#14556549C2312yes—
515#14556549C2312yes—
516#14556549C2314yescomplemented
517#14556548C2314yes—
518#14556548C2314yes—
519#14556548C2314yes—
520#14556548C2314yescomplemented
521#14556548C2314yescomplemented
522#14556547C2314yes—
523#14556547C2314yes—
524#14556547C2314yes—
525#14556547C2314yescomplemented
526#14556547C2314yescomplemented
527C2×#11924007C2312yes—
528C2×#11924007C2312yes—
529C2×#11924007C2312yes—
530C2×#11924007C2312yes—
531C2×#11924007C2312yes—
532C2×#11924007C2314yes—
533C2×#11924007C2312yes—
534C2×#11924007C2314yes—
535C2×#11924007C2314yes—
536C2×#11924007C2314yescomplemented
537C2×#11924007C2314yescomplemented
538C4⋊C4×D73C2314yes—
539C4⋊C4×D73C2312yes—
540C4⋊C4×D73C2312yes—
541C4⋊C4×D73C2314yes—
542C4⋊C4×D73C2314yescomplemented
543C4⋊C4×D73C2314yescomplemented
544C4⋊C4×D73C2314yescomplemented
545C2×#11924005C2312yes—
546C2×#11924005C2312yes—
547C2×#11924005C2312yes—
548C2×#11924005C2312yes—
549C2×#11924005C2314yes—
550C2×#11924005C2314yes—
551C2×#11924005C2312yes—
552C2×#11924005C2314yes—
553C2×#11924005C2312yes—
554C2×#11924005C2314yes—
555C2×#11924005C2312yes—
556C2×#11924005C2312yes—
557C22⋊C4×D73C2314yes—
558C22⋊C4×D73C2314yes—
559C22⋊C4×D73C2314yes—
560C22⋊C4×D73C2314yes—
561C22⋊C4×D73C2314yes—
562C22⋊C4×D73C2314yes—
563C22⋊C4×D73C2314yes—
564C42×D73C2314yes—
565C2×#41×C73C2312yes—
566C2×#41×C73C2312yes—
567C2×#41×C73C2312yes—
568C23×C4×C73C2311yescharacteristic
569C23×C4×C73C2311yescharacteristic
570C23×C4×C73C2311yescharacteristic
571C4⋊Q8×C73C2314yescomplemented
572#126×C73C2314yescomplemented
573#126×C73C2314yescomplemented
574#125×C73C2314yescomplemented
575#125×C73C2314yescomplemented
576#125×C73C2314yescomplemented
577#123×C73C2314yes—
578#123×C73C2314yes—
579#123×C73C2314yes—
580#123×C73C2314yescomplemented
581#123×C73C2314yescomplemented
582C22⋊Q8×C73C2312yes—
583C22⋊Q8×C73C2312yes—
584C22⋊Q8×C73C2312yes—
585C22⋊Q8×C73C2312yes—
586C22⋊Q8×C73C2312yes—
587C22⋊Q8×C73C2312yes—
588C22⋊Q8×C73C2314yescomplemented
589C22⋊Q8×C73C2314yescomplemented
590C22⋊Q8×C73C2314yescomplemented
591#121×C73C2312yes—
592#121×C73C2312yes—
593#121×C73C2312yes—
594#121×C73C2312yes—
595#121×C73C2312yes—
596#121×C73C2312yes—
597#121×C73C2314yescomplemented
598#120×C73C2314yes—
599C4×Q8×C73C2314yescomplemented
600C4×D4×C73C2314yes—
601C4×D4×C73C2314yes—
602C4×D4×C73C2314yes—
603C4×D4×C73C2314yes—
604C4×D4×C73C2314yes—
605C4×D4×C73C2314yes—
606C4×D4×C73C2314yescomplemented
607#117×C73C2312yes—
608#117×C73C2312yes—
609#117×C73C2312yes—
610#117×C73C2314yescomplemented
611C2×C4⋊C4×C73C2311yescharacteristic
612C2×C4⋊C4×C73C2311yescharacteristic
613C2×C4⋊C4×C73C2311yescharacteristic
614C2×C4⋊C4×C73C2314yes—
615C2×C4⋊C4×C73C2311yescharacteristic
616C2×C4⋊C4×C73C2314yes—
617C2×C4⋊C4×C73C2314yescomplemented
618C23×D73—24no—
619C23×D73—42no—
620C23×D73—42no—
621C23×D73C2412yes—
622C23×D73C2412yes—
623C23×D73C2414yes—
624C23×D73C2411yescharacteristic
625C23×D73C2411yescharacteristic
626#11924029—44no—
627#11924028—48no—
628#11924028—48no—
629#11924028—44no—
630#11924028—44no—
631#11924028—44no—
632#11924027—216no—
633#11924027—48no—
634#11924027—44no—
635#11924027—48no—
636#11924027—48no—
637C2×Dic146—28no—
638C2×Dic146—44no—
639C2×Dic146—48no—
640C2×Dic146—44no—
641C2×Dic146—48no—
642C2×Dic146—44no—
643C2×Dic146C2414yes—
644C2×Dic146C2414yes—
645C2×Dic146C2414yes—
646C2×Dic146C2412yes—
647C2×Dic146C2414yes—
648C2×Dic146C2414yes—
649C2×Dic146C2412yes—
650C2×Dic146C2414yes—
651C2×Dic146C2414yes—
652C2×Dic146C2412yes—
653Q8×D73—44no—
654Q8×D73—48no—
655C2×D292C2414yes—
656C2×D292C2414yes—
657C2×D292C2412yes—
658C2×D292C2414yes—
659C2×D292C2412yes—
660C2×D292C2412yes—
661C2×C22⋊D73C2414yes—
662C2×C22⋊D73C2414yes—
663C2×C22⋊D73C2414yes—
664C2×C22⋊D73C2414yes—
665C2×C22⋊D73C2414yes—
666C2×C22⋊D73C2414yes—
667C2×C22⋊D73C2414yes—
668C2×C22⋊D73C2414yes—
669C2×C22⋊D73C2414yes—
670D4×D73—216no—
671D4×D73—44no—
672D4×D73—48no—
673D4×D73—48no—
674C22×Dic73—24no—
675C22×Dic73—42no—
676C22×Dic73—42no—
677C22×Dic73C2412yes—
678C22×Dic73C2412yes—
679C22×Dic73C2412yes—
680C22×Dic73C2412yes—
681C22×Dic73C2411yescharacteristic
682C22×Dic73C2414yes—
683C22×Dic73C2412yes—
684C22×Dic73C2412yes—
685C22×Dic73C2412yes—
686C22×Dic73C2412yes—
687C22×Dic73C2414yes—
688C22×Dic73C2414yes—
689C22×Dic73C2411yescharacteristic
690C2×C4×D73—28no—
691C2×C4×D73—44no—
692C2×C4×D73—44no—
693C2×C4×D73—44no—
694C2×C4×D73—44no—
695C2×C4×D73—48no—
696C2×C4×D73—44no—
697C2×C4×D73C2412yes—
698C2×C4×D73C2414yes—
699C2×C4×D73C2412yes—
700C2×C4×D73C2414yes—
701C2×C4×D73C2412yes—
702C2×C4×D73C2412yes—
703C2×C4×D73C2414yes—
704C2×C4×D73C2414yes—
705C2×C4×D73C2412yes—
706C2×C4×D73C2412yes—
707C2×C4×D73C2414yes—
708C2×C4×D73C2414yes—
709C2×C4×D73C2414yes—
710C2×C4×D73C2414yes—
711C2×C4×D73C2414yes—
712C2×C4×D73C2412yes—
713C2×C4×D73C2412yes—
714C4⋊Dic73C2412yes—
715C4⋊Dic73C2412yes—
716C4⋊Dic73C2414yes—
717C4⋊Dic73C2414yes—
718C4⋊Dic73C2412yes—
719C4⋊Dic73C2414yes—
720C4⋊Dic73C2414yes—
721C4⋊Dic73C2414yes—
722C4⋊Dic73C2414yes—
723C4⋊Dic73C2412yes—
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—
752C22⋊Dic73C2414yes—
753C22⋊Dic73C2414yes—
754C22⋊Dic73C2414yes—
755C22⋊Dic73C2414yes—
756C22⋊Dic73C2414yes—
757C22⋊Dic73C2414yes—
758C22⋊Dic73C2414yes—
759C22⋊Dic73C2414yes—
760C22⋊Dic73C2414yes—
761#11924005C2414yes—
762#11924005C2414yes—
763#11924005C2414yes—
764#11924005C2414yes—
765#11924005C2414yes—
766#11924005C2414yes—
767#11924005C2414yes—
768#11924005C2414yes—
769#11924005C2414yes—
770#11924005C2414yes—
771#11924005C2414yes—
772#11924005C2414yes—
773#11924005C2414yes—
774#11924005C2414yes—
775#11924005C2414yes—
776#11924005C2414yes—
777#11924005C2414yes—
778#11924005C2414yes—
779#11924005C2414yes—
780#11924005C2414yes—
781#11924005C2414yes—
782#11924005C2414yes—
783#11924005C2414yes—
784#11924005C2414yes—
785#11924005C2414yes—
786#11924005C2414yes—
787C4×Dic73C2414yes—
788C4×Dic73C2414yes—
789C4×Dic73C2414yes—
790C4×Dic73C2414yes—
791C4×Dic73C2414yes—
792C4×Dic73C2414yes—
793C4×Dic73C2414yes—
794C4×Dic73C2414yes—
795C4×Dic73C2414yes—
796C24×C73C2411yescharacteristic
797#41×C73—44no—
798#41×C73—44no—
799#41×C73—44no—
800C2×Q8×C73C2412yes—
801C2×Q8×C73C2412yes—
802C2×Q8×C73C2412yes—
803C2×D4×C73C2414yes—
804C2×D4×C73C2414yes—
805C2×D4×C73C2414yes—
806C2×D4×C73C2412yes—
807C2×D4×C73C2412yes—
808C2×D4×C73C2412yes—
809C22×C4×C73—42no—
810C22×C4×C73—42no—
811C22×C4×C73—42no—
812C22×C4×C73C2411yescharacteristic
813C22×C4×C73C2412yes—
814C22×C4×C73C2412yes—
815C22×C4×C73C2411yescharacteristic
816C22×C4×C73C2411yescharacteristic
817C22×C4×C73C2411yescharacteristic
818C22×C4×C73C2412yes—
819C22×C4×C73C2412yes—
820C22×C4×C73C2412yes—
821C22×C4×C73C2412yes—
822C22×C4×C73C2411yescharacteristic
823C22×C4×C73C2411yescharacteristic
824C22×C4×C73C2414yes—
825C22×C4×C73C2414yes—
826C22×C4×C73C2414yes—
827C4⋊C4×C73C2414yes—
828C4⋊C4×C73C2414yes—
829C4⋊C4×C73C2414yes—
830C4⋊C4×C73C2414yes—
831C4⋊C4×C73C2412yes—
832C4⋊C4×C73C2414yes—
833C4⋊C4×C73C2414yes—
834C4⋊C4×C73C2412yes—
835C4⋊C4×C73C2412yes—
836C4⋊C4×C73C2412yes—
837C4⋊C4×C73C2412yes—
838C4⋊C4×C73C2412yes—
839C4⋊C4×C73C2414yes—
840C4⋊C4×C73C2414yes—
841C4⋊C4×C73C2414yes—
842C4⋊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—
852C42×C73C2414yes—
853C42×C73C2414yes—
854C42×C73C2414yes—
855C23×C73—22no—
856C23×C73—22no—
857C23×C73—22no—
858C23×C73C2514yes—
859C23×C73C2511yescharacteristic
860C23×C73C2511yescharacteristic
861C23×C73C2511yescharacteristic
862C22×D73—24no—
863C22×D73—22no—
864C22×D73—24no—
865C22×D73—24no—
866C22×D73—24no—
867C22×D73—28no—
868C22×D73—41no—
869C22×D73—42no—
870C22×D73—41no—
871C22×D73—41no—
872C22×D73—42no—
873C22×D73—41no—
874C22×D73—44no—
875C22×D73—44no—
876C22×D73—416no—
877C22×D732−1+414yescomplemented
878C22×D73C2512yes—
879C22×D73C2514yes—
880C22×D73C2512yes—
881Q8×C73—42no—
882Q8×C73—42no—
883Q8×C73—42no—
884D4×C73—28no—
885D4×C73—28no—
886D4×C73—28no—
887D4×C73—42no—
888D4×C73—42no—
889D4×C73—42no—
890C2×C4×C73—24no—
891C2×C4×C73—24no—
892C2×C4×C73—22no—
893C2×C4×C73—22no—
894C2×C4×C73—42no—
895C2×C4×C73—42no—
896C2×C4×C73—41no—
897C2×C4×C73—42no—
898C2×C4×C73—41no—
899C2×C4×C73—41no—
900C2×C4×C73—42no—
901C2×C4×C73—41no—
902C2×C4×C73—44no—
903C2×C4×C73—44no—
904C2×C4×C73—44no—
905C2×C4×C73C2514yes—
906C2×C4×C73C2514yes—
907C2×C4×C73C2512yes—
908C2×C4×C73C2512yes—
909C2×C4×C73C2512yes—
910C2×C4×C73C2514yes—
911C2×C4×C73C2512yes—
912C2×C4×C73C2512yes—
913C2×C4×C73C2512yes—
914C22⋊D73—28no—
915C22⋊D73—28no—
916C22⋊D73—28no—
917C22⋊D73—28no—
918C22⋊D73—28no—
919C22⋊D73—44no—
920C22⋊D73—44no—
921C22⋊D73—44no—
922C22⋊D73—44no—
923C2×Dic73—22no—
924C2×Dic73—24no—
925C2×Dic73—24no—
926C2×Dic73—24no—
927C2×Dic73—24no—
928C2×Dic73—28no—
929C2×Dic73—42no—
930C2×Dic73—42no—
931C2×Dic73—42no—
932C2×Dic73—42no—
933C2×Dic73—44no—
934C2×Dic73—44no—
935C2×Dic73H(5,𝔽2)14yes—
936C2×Dic73C2514yes—
937C2×Dic73C2514yes—
938C2×Dic73C2514yes—
939C2×Dic73C2514yes—
940C2×Dic73C2514yes—
941C2×Dic73C2512yes—
942C2×Dic73C2512yes—
943D292—28no—
944D292—44no—
945D292—44no—
946D292—42no—
947D292—42no—
948D292—42no—
949C4×D73—28no—
950C4×D73—24no—
951C4×D73—24no—
952C4×D73—24no—
953C4×D73—24no—
954C4×D73—28no—
955C4×D73—42no—
956C4×D73—42no—
957C4×D73—42no—
958C4×D73—42no—
959C4×D73—44no—
960C4×D73—44no—
961C4×D73—44no—
962C4×D73—44no—
963C4×D73—44no—
964C4×D73—44no—
965C4×D73—44no—
966Dic146—28no—
967Dic146—28no—
968Dic146—28no—
969Dic146—44no—
970Dic146—42no—
971Dic146—44no—
972Dic146—44no—
973Dic146—42no—
974Dic146—44no—
975Dic146—42no—
976C22×C73—28no—
977C22×C73—21no—
978C22×C73—21no—
979C22×C73—21no—
980C22×C73—21no—
981C22×C73—21no—
982C22×C73—21no—
983C22×C73—24no—
984C22×C73—24no—
985C22×C73—24no—
986C22×C73C2×H(5,𝔽2)12yes—
987C22×C73C2×2−1+412yes—
988C22×C73#58512yes—
989C22×C73C2611yescharacteristic
990C2×D73—22no—
991C2×D73—22no—
992C2×D73—22no—
993C2×D73—24no—
994C2×D73—24no—
995C2×D73—22no—
996C2×D73—24no—
997C2×D73—22no—
998C2×D73—44no—
999C2×D73—48no—
1000C2×D73—48no—
1001C2×D73—44no—
1002C2×D73—88no—
1003C2×D73C2×2−1+414yes—
1004C4×C73—22no—
1005C4×C73—22no—
1006C4×C73—24no—
1007C4×C73—22no—
1008C4×C73—22no—
1009C4×C73—24no—
1010C4×C73—22no—
1011C4×C73—24no—
1012C4×C73—22no—
1013Dic73—24no—
1014Dic73—24no—
1015Dic73—22no—
1016Dic73—24no—
1017Dic73—24no—
1018Dic73—24no—
1019Dic73C2×H(5,𝔽2)14yes—
1020#62819—731nomaximal, Sylow
1021C2×C73—22no—
1022C2×C73—22no—
1023C2×C73—22no—
1024C2×C73—44no—
1025C2×C73C22×H(5,𝔽2)11yescharacteristic
1026C2×C73C22×2−1+411yescharacteristic
1027C2×C73C2×#58511yescharacteristic
1028D73—24no—
1029D73—42no—
1030D73—44no—
1031#3541—734no—
1032#3541—734no—
1033#3538—732no—
1034#3538—732no—
1035#3536—732no—
1036#3536—732no—
1037#3535—734no—
1038#3535—734no—
1039#3520—734no—
1040#3520—734no—
1041#3505—734no—
1042#3501—734no—
1043#3495—734no—
1044#3492—732no—
1045#3492—732no—
1046#3492—731no—
1047#3492D7311yescharacteristic, complemented
1048#3490—732no—
1049#3490—732no—
1050#3489—734no—
1051#3486—732no—
1052C2×#525—732no—
1053C22×C22⋊Q8—731no—
1054C73#6281911yescharacteristic, complemented, Sylow
1055C2×2−1+4—732no—
1056C22×#41—732no—
1057C23×Q8—731no—
1058C24×C4—731no—
1059#563—734no—
1060#563—734no—
1061#563—734no—
1062#563—734no—
1063#562—734no—
1064#562—734no—
1065#562—734no—
1066#562—734no—
1067#556—734no—
1068#556—734no—
1069#554—734no—
1070#554—734no—
1071#554—734no—
1072#554—734no—
1073#554—734no—
1074#554—734no—
1075#554—734no—
1076#554—734no—
1077#554—734no—
1078#554—734no—
1079#554—734no—
1080#554C2×D7314yescomplemented
1081#553—734no—
1082#553—734no—
1083#553—734no—
1084#553—734no—
1085#553—734no—
1086#553C2×D7314yescomplemented
1087#552—734no—
1088#552—734no—
1089#552—734no—
1090#552—734no—
1091#552—734no—
1092#552—734no—
1093#552—734no—
1094#552—734no—
1095#552—734no—
1096#552C2×D7314yescomplemented
1097#551—734no—
1098#551—734no—
1099#551—734no—
1100#551—734no—
1101#551—734no—
1102#551—734no—
1103#551—734no—
1104#551—734no—
1105#551—734no—
1106#551—734no—
1107#551—734no—
1108#551—734no—
1109D4×Q8—734no—
1110D4×Q8—734no—
1111D4×Q8—734no—
1112D4×Q8—734no—
1113D4×Q8—734no—
1114D4×Q8—734no—
1115#548—734no—
1116#548—734no—
1117#548—734no—
1118#548—734no—
1119#548—734no—
1120#548—734no—
1121#547—734no—
1122#547—734no—
1123#547—734no—
1124#547—734no—
1125#547—734no—
1126#547—734no—
1127#547—734no—
1128#547C2×D7314yescomplemented
1129#546—734no—
1130#546—734no—
1131#546—734no—
1132#546—734no—
1133#546—734no—
1134#546—734no—
1135#546—734no—
1136#546—734no—
1137#546—734no—
1138#546—734no—
1139#544—734no—
1140#544—734no—
1141#544—732no—
1142#544—732no—
1143#544—731no—
1144#544C2×D7311yescharacteristic, complemented
1145#543—732no—
1146#543—732no—
1147#543—734no—
1148#543—734no—
1149#542—734no—
1150#542—734no—
1151#542—734no—
1152#542—734no—
1153#542—734no—
1154#542—734no—
1155#541—734no—
1156#541—734no—
1157#539—734no—
1158#539—734no—
1159#539—734no—
1160#539—734no—
1161#539—732no—
1162#539—732no—
1163#539—732no—
1164#539—732no—
1165#539—734no—
1166#539—734no—
1167#539—734no—
1168#539—732no—
1169#539—732no—
1170#539—734no—
1171#539C2×D7312yescomplemented
1172#539C2×D7312yescomplemented
1173#538—734no—
1174#538—732no—
1175#538—732no—
1176#538—732no—
1177#538—732no—
1178#538—734no—
1179#538—734no—
1180#538—734no—
1181#537—734no—
1182#537—732no—
1183#537—732no—
1184#537—734no—
1185#537—731no—
1186#537C2×D7311yescharacteristic, complemented
1187#536—732no—
1188#536—734no—
1189#536—734no—
1190#536—734no—
1191#536—734no—
1192#536—732no—
1193#534—732no—
1194#534—732no—
1195#533—734no—
1196#533—734no—
1197#529—734no—
1198#529—734no—
1199#525—732no—
1200#525—732no—
1201#525—732no—
1202#525—732no—
1203#525—734no—
1204#525—734no—
1205#525—732no—
1206#525—732no—
1207#525—732no—
1208#525—732no—
1209#525—734no—
1210#525—734no—
1211#525—734no—
1212#525—734no—
1213#525—734no—
1214#525—734no—
1215#525—732no—
1216#525C2×D7312yescomplemented
1217#525C2×D7312yescomplemented
1218#525C2×D7312yescomplemented
1219C2×#123—734no—
1220C2×C22⋊Q8—732no—
1221C2×C22⋊Q8—732no—
1222C2×C22⋊Q8—734no—
1223C2×C22⋊Q8—734no—
1224C2×C22⋊Q8—734no—
1225C2×C22⋊Q8—732no—
1226C2×C22⋊Q8—732no—
1227C2×C22⋊Q8—734no—
1228C2×C22⋊Q8—732no—
1229C2×C22⋊Q8—732no—
1230C2×C22⋊Q8—734no—
1231C2×C22⋊Q8—734no—
1232C2×#121—732no—
1233C2×#121—732no—
1234C2×#120—734no—
1235#520—734no—
1236#520—734no—
1237#520—732no—
1238#520C2×D7312yescomplemented
1239#519—732no—
1240#518—734no—
1241#518—734no—
1242C2×C4×D4—734no—
1243C2×C4×D4—734no—
1244C2×#117—732no—
1245C22×C4⋊C4—731no—
1246C22×C4⋊C4—731no—
1247C22×C4⋊C4C2×D7311yescharacteristic, complemented
1248C22×C22⋊C4—731no—
1249C22×C22⋊C4—731no—
1250C25—731no—
12512−1+4—2928no—
1252C2×#41—2928no—
1253C2×#41—732no—
1254C2×#41—734no—
1255C2×#41—732no—
1256C2×#41—734no—
1257C2×#41—734no—
1258C2×#41—734no—
1259C2×#41—732no—
1260C2×#41—732no—
1261C2×#41—734no—
1262C2×#41—732no—
1263C2×#41—734no—
1264C2×#41C22×D7312yes—
1265C2×#41C22×D7312yes—
1266C2×#41C22×D7312yes—
1267C22×Q8—2924no—
1268C22×Q8—732no—
1269C22×Q8—734no—
1270C22×Q8—732no—
1271C22×Q8—732no—
1272C22×Q8—734no—
1273C22×Q8—732no—
1274C22×Q8—734no—
1275C22×Q8—732no—
1276C22×D4—734no—
1277C22×D4—734no—
1278C22×D4—732no—
1279C22×D4—734no—
1280C23×C4—2924no—
1281C23×C4—731no—
1282C23×C4—731no—
1283C23×C4—732no—
1284C23×C4—732no—
1285C23×C4—734no—
1286C23×C4—732no—
1287C23×C4—732no—
1288C23×C4—732no—
1289C23×C4—731no—
1290C23×C4—732no—
1291C23×C4C22×D7311yescharacteristic
1292C23×C4C22×D7311yescharacteristic
1293C23×C4C22×D7311yescharacteristic
1294C4⋊Q8—734no—
1295C4⋊Q8—734no—
1296C4⋊Q8—734no—
1297C4⋊Q8—734no—
1298C4⋊Q8—734no—
1299C4⋊Q8—734no—
1300C4⋊Q8—734no—
1301C4⋊Q8—734no—
1302C4⋊Q8—734no—
1303C4⋊Q8—734no—
1304C4⋊Q8—734no—
1305C4⋊Q8C22×D7314yescomplemented
1306#126—734no—
1307#126—734no—
1308#126—734no—
1309#126—734no—
1310#126—734no—
1311#126—734no—
1312#126—734no—
1313#126—734no—
1314#126—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#126C22×D7314yescomplemented
1325#126C22×D7314yescomplemented
1326#125—734no—
1327#125—734no—
1328#125—734no—
1329#125—734no—
1330#125—734no—
1331#125—734no—
1332#125—734no—
1333#125—734no—
1334#125—734no—
1335#125—734no—
1336#125—734no—
1337#125—734no—
1338#125—734no—
1339#125—734no—
1340#125—734no—
1341#125C22×D7314yescomplemented
1342#125C22×D7314yescomplemented
1343#125C22×D7314yescomplemented
1344#124—734no—
1345#124—734no—
1346#124—734no—
1347#124—734no—
1348#124—734no—
1349#124—734no—
1350#124—734no—
1351#124—734no—
1352#124—734no—
1353#124—734no—
1354#124—734no—
1355#124—734no—
1356#124—734no—
1357#124—734no—
1358#123—734no—
1359#123—734no—
1360#123—734no—
1361#123—734no—
1362#123—734no—
1363#123—734no—
1364#123—734no—
1365#123—734no—
1366#123—734no—
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#123C22×D7314yes—
1394#123C22×D7314yes—
1395#123C22×D7314yes—
1396#123C22×D7314yescomplemented
1397#123C22×D7314yescomplemented
1398C22⋊Q8—732no—
1399C22⋊Q8—732no—
1400C22⋊Q8—734no—
1401C22⋊Q8—734no—
1402C22⋊Q8—734no—
1403C22⋊Q8—734no—
1404C22⋊Q8—732no—
1405C22⋊Q8—732no—
1406C22⋊Q8—734no—
1407C22⋊Q8—732no—
1408C22⋊Q8—732no—
1409C22⋊Q8—732no—
1410C22⋊Q8—732no—
1411C22⋊Q8—734no—
1412C22⋊Q8—734no—
1413C22⋊Q8—734no—
1414C22⋊Q8—734no—
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—732no—
1433C22⋊Q8—732no—
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⋊Q8C22×D7312yes—
1468C22⋊Q8C22×D7312yes—
1469C22⋊Q8C22×D7312yes—
1470C22⋊Q8C22×D7312yes—
1471C22⋊Q8C22×D7312yes—
1472C22⋊Q8C22×D7312yes—
1473C22⋊Q8C22×D7314yescomplemented
1474C22⋊Q8C22×D7314yescomplemented
1475C22⋊Q8C22×D7314yescomplemented
1476#121—732no—
1477#121—734no—
1478#121—734no—
1479#121—732no—
1480#121—734no—
1481#121—734no—
1482#121—734no—
1483#121—734no—
1484#121—734no—
1485#121—734no—
1486#121—734no—
1487#121—734no—
1488#121—732no—
1489#121—732no—
1490#121—732no—
1491#121—732no—
1492#121—732no—
1493#121—732no—
1494#121—734no—
1495#121—734no—
1496#121—732no—
1497#121—732no—
1498#121—734no—
1499#121—734no—
1500#121—734no—
1501#121—734no—
1502#121—734no—
1503#121—734no—
1504#121—734no—
1505#121—734no—
1506#121—734no—
1507#121C22×D7312yes—
1508#121C22×D7312yes—
1509#121C22×D7312yes—
1510#121C22×D7312yes—
1511#121C22×D7312yes—
1512#121C22×D7312yes—
1513#121C22×D7314yescomplemented
1514#120—734no—
1515#120—734no—
1516#120—734no—
1517#120—734no—
1518#120—734no—
1519#120—734no—
1520#120—734no—
1521#120—734no—
1522#120—734no—
1523#120—734no—
1524#120—734no—
1525#120C22×D7314yes—
1526C4×Q8—734no—
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×Q8C22×D7314yescomplemented
1536C4×D4—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×D4C22×D7314yes—
1576C4×D4C22×D7314yes—
1577C4×D4C22×D7314yes—
1578C4×D4C22×D7314yes—
1579C4×D4C22×D7314yes—
1580C4×D4C22×D7314yes—
1581C4×D4C22×D7314yescomplemented
1582#117—732no—
1583#117—732no—
1584#117—732no—
1585#117—732no—
1586#117—732no—
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×D7312yes—
1601#117C22×D7312yes—
1602#117C22×D7312yes—
1603#117C22×D7314yescomplemented
1604C2×C4⋊C4—732no—
1605C2×C4⋊C4—732no—
1606C2×C4⋊C4—732no—
1607C2×C4⋊C4—732no—
1608C2×C4⋊C4—732no—
1609C2×C4⋊C4—732no—
1610C2×C4⋊C4—734no—
1611C2×C4⋊C4—734no—
1612C2×C4⋊C4—734no—
1613C2×C4⋊C4—734no—
1614C2×C4⋊C4—734no—
1615C2×C4⋊C4—732no—
1616C2×C4⋊C4—732no—
1617C2×C4⋊C4—734no—
1618C2×C4⋊C4—734no—
1619C2×C4⋊C4—734no—
1620C2×C4⋊C4—734no—
1621C2×C4⋊C4—734no—
1622C2×C4⋊C4C22×D7311yescharacteristic
1623C2×C4⋊C4C22×D7311yescharacteristic
1624C2×C4⋊C4C22×D7311yescharacteristic
1625C2×C4⋊C4C22×D7311yescharacteristic
1626C2×C4⋊C4C22×D7314yes—
1627C2×C4⋊C4C22×D7314yes—
1628C2×C4⋊C4C22×D7314yescomplemented
1629C2×C22⋊C4—732no—
1630C2×C22⋊C4—732no—
1631C2×C22⋊C4—732no—
1632C2×C22⋊C4—732no—
1633C2×C22⋊C4—734no—
1634C2×C22⋊C4—732no—
1635C2×C22⋊C4—732no—
1636C2×C22⋊C4—732no—
1637C2×C22⋊C4—732no—
1638C2×C22⋊C4—734no—
1639C2×C22⋊C4—734no—
1640C2×C22⋊C4—734no—
1641C2×C22⋊C4—734no—
1642C2×C22⋊C4—734no—
1643C2×C22⋊C4—734no—
1644C2×C22⋊C4—734no—
1645C2×C22⋊C4—734no—
1646C2×C22⋊C4—734no—
1647C2×C22⋊C4—734no—
1648C2×C42—734no—
1649C24—2922no—
1650C24—2922no—
1651C24—731no—
1652C24—734no—
1653C24—731no—
1654C24—732no—
1655C24—732no—
1656C24—1464no—
1657C24C23×D7311yescharacteristic
1658#41—44no—
1659#41—44no—
1660#41—44no—
1661#41—2924no—
1662#41—2924no—
1663#41—2924no—
1664#41—2928no—
1665#41—2928no—
1666#41—2928no—
1667#41—2928no—
1668#41—2928no—
1669#41—2924no—
1670#41—2924no—
1671#41—14616no—
1672C2×Q8—2924no—
1673C2×Q8—2924no—
1674C2×Q8—2928no—
1675C2×Q8—2924no—
1676C2×Q8—2928no—
1677C2×Q8—2924no—
1678C2×Q8—2928no—
1679C2×Q8—732no—
1680C2×Q8—734no—
1681C2×Q8—734no—
1682C2×Q8—734no—
1683C2×Q8—732no—
1684C2×Q8—734no—
1685C2×Q8—732no—
1686C2×Q8—734no—
1687C2×Q8—734no—
1688C2×Q8—734no—
1689C2×Q8—1468no—
1690C2×Q8C23×D7312yes—
1691C2×Q8C23×D7312yes—
1692C2×Q8C23×D7312yes—
1693C2×D4—2928no—
1694C2×D4—2928no—
1695C2×D4—2924no—
1696C2×D4—734no—
1697C2×D4—734no—
1698C2×D4—734no—
1699C2×D4—734no—
1700C2×D4—734no—
1701C2×D4—734no—
1702C2×D4—734no—
1703C2×D4—734no—
1704C2×D4—734no—
1705C2×D4—732no—
1706C2×D4—734no—
1707C2×D4—732no—
1708C2×D4—734no—
1709C2×D4—732no—
1710C2×D4—734no—
1711C2×D4—14616no—
1712C2×D4C23×D7314yes—
1713C2×D4C23×D7314yes—
1714C2×D4C23×D7314yes—
1715C2×D4C23×D7312yes—
1716C2×D4C23×D7312yes—
1717C2×D4C23×D7312yes—
1718C22×C4—42no—
1719C22×C4—42no—
1720C22×C4—42no—
1721C22×C4—2924no—
1722C22×C4—2924no—
1723C22×C4—2924no—
1724C22×C4—2924no—
1725C22×C4—2924no—
1726C22×C4—2928no—
1727C22×C4—2922no—
1728C22×C4—2922no—
1729C22×C4—732no—
1730C22×C4—732no—
1731C22×C4—732no—
1732C22×C4—732no—
1733C22×C4—734no—
1734C22×C4—734no—
1735C22×C4—734no—
1736C22×C4—732no—
1737C22×C4—734no—
1738C22×C4—732no—
1739C22×C4—734no—
1740C22×C4—734no—
1741C22×C4—734no—
1742C22×C4—734no—
1743C22×C4—734no—
1744C22×C4—732no—
1745C22×C4—732no—
1746C22×C4—731no—
1747C22×C4—732no—
1748C22×C4—732no—
1749C22×C4—732no—
1750C22×C4—732no—
1751C22×C4—731no—
1752C22×C4—734no—
1753C22×C4—732no—
1754C22×C4—734no—
1755C22×C4—732no—
1756C22×C4—734no—
1757C22×C4—732no—
1758C22×C4—732no—
1759C22×C4—1468no—
1760C22×C4—1464no—
1761C22×C4C23×D7311yescharacteristic
1762C22×C4C23×D7311yescharacteristic
1763C22×C4C23×D7312yes—
1764C22×C4C23×D7312yes—
1765C22×C4C23×D7312yes—
1766C22×C4C23×D7312yes—
1767C22×C4C23×D7311yescharacteristic
1768C22×C4C23×D7312yes—
1769C22×C4C23×D7311yescharacteristic
1770C22×C4C23×D7314yes—
1771C22×C4C23×D7314yes—
1772C22×C4C23×D7311yescharacteristic
1773C22×C4C23×D7312yes—
1774C22×C4C23×D7311yescharacteristic
1775C22×C4C23×D7314yes—
1776C4⋊C4—734no—
1777C4⋊C4—734no—
1778C4⋊C4—734no—
1779C4⋊C4—734no—
1780C4⋊C4—734no—
1781C4⋊C4—734no—
1782C4⋊C4—734no—
1783C4⋊C4—734no—
1784C4⋊C4—734no—
1785C4⋊C4—734no—
1786C4⋊C4—734no—
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—732no—
1803C4⋊C4—732no—
1804C4⋊C4—732no—
1805C4⋊C4—734no—
1806C4⋊C4—734no—
1807C4⋊C4—734no—
1808C4⋊C4—734no—
1809C4⋊C4—732no—
1810C4⋊C4—734no—
1811C4⋊C4—734no—
1812C4⋊C4—732no—
1813C4⋊C4—732no—
1814C4⋊C4C23×D7314yes—
1815C4⋊C4C23×D7314yes—
1816C4⋊C4C23×D7312yes—
1817C4⋊C4C23×D7312yes—
1818C4⋊C4C23×D7314yes—
1819C4⋊C4C23×D7314yes—
1820C4⋊C4C23×D7314yes—
1821C4⋊C4C23×D7314yes—
1822C4⋊C4C23×D7314yes—
1823C4⋊C4C23×D7312yes—
1824C4⋊C4C23×D7314yes—
1825C4⋊C4C23×D7314yes—
1826C4⋊C4C23×D7314yes—
1827C4⋊C4C23×D7312yes—
1828C4⋊C4C23×D7312yes—
1829C4⋊C4C23×D7312yes—
1830C22⋊C4—734no—
1831C22⋊C4—734no—
1832C22⋊C4—734no—
1833C22⋊C4—734no—
1834C22⋊C4—734no—
1835C22⋊C4—734no—
1836C22⋊C4—734no—
1837C22⋊C4—734no—
1838C22⋊C4—734no—
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⋊C4C23×D7314yes—
1866C22⋊C4C23×D7314yes—
1867C22⋊C4C23×D7314yes—
1868C22⋊C4C23×D7314yes—
1869C22⋊C4C23×D7314yes—
1870C22⋊C4C23×D7314yes—
1871C22⋊C4C23×D7314yes—
1872C22⋊C4C23×D7314yes—
1873C22⋊C4C23×D7314yes—
1874C42—734no—
1875C42—734no—
1876C42—734no—
1877C42—734no—
1878C42—734no—
1879C42—734no—
1880C42—734no—
1881C42—734no—
1882C42—734no—
1883C42C23×D7314yes—
1884C42C23×D7314yes—
1885C42C23×D7314yes—
1886C23—22no—
1887C23—22no—
1888C23—22no—
1889C23—29216no—
1890C23—2921no—
1891C23—2922no—
1892C23—2921no—
1893C23—2921no—
1894C23—2922no—
1895C23—2921no—
1896C23—2924no—
1897C23—2924no—
1898C23—734no—
1899C23—732no—
1900C23—732no—
1901C23—734no—
1902C23—1464no—
1903C23—1464no—
1904C23—1468no—
1905C23—1464no—
1906C23—1462no—
1907C23—1464no—
1908C23C24×D7314yes—
1909C23C24×D7311yescharacteristic
1910C23C24×D7311yescharacteristic
1911C23C24×D7311yescharacteristic
1912Q8—42no—
1913Q8—42no—
1914Q8—42no—
1915Q8—2924no—
1916Q8—2924no—
1917Q8—2922no—
1918Q8—2924no—
1919Q8—2922no—
1920Q8—2922no—
1921Q8—2924no—
1922Q8—1468no—
1923Q8—1468no—
1924Q8—1468no—
1925D4—28no—
1926D4—28no—
1927D4—28no—
1928D4—42no—
1929D4—42no—
1930D4—42no—
1931D4—2922no—
1932D4—2924no—
1933D4—2924no—
1934D4—2922no—
1935D4—2922no—
1936D4—2924no—
1937D4—2924no—
1938D4—2924no—
1939D4—2924no—
1940D4—1468no—
1941D4—1468no—
1942D4—1468no—
1943D4—1468no—
1944D4—1468no—
1945D4—1468no—
1946C2×C4—24no—
1947C2×C4—24no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—41no—
1951C2×C4—42no—
1952C2×C4—41no—
1953C2×C4—41no—
1954C2×C4—42no—
1955C2×C4—41no—
1956C2×C4—42no—
1957C2×C4—42no—
1958C2×C4—44no—
1959C2×C4—44no—
1960C2×C4—44no—
1961C2×C4—2922no—
1962C2×C4—2922no—
1963C2×C4—2922no—
1964C2×C4—2922no—
1965C2×C4—2924no—
1966C2×C4—2924no—
1967C2×C4—2924no—
1968C2×C4—2924no—
1969C2×C4—2924no—
1970C2×C4—2924no—
1971C2×C4—2924no—
1972C2×C4—2922no—
1973C2×C4—2922no—
1974C2×C4—2922no—
1975C2×C4—2922no—
1976C2×C4—2924no—
1977C2×C4—2924no—
1978C2×C4—734no—
1979C2×C4—732no—
1980C2×C4—734no—
1981C2×C4—734no—
1982C2×C4—734no—
1983C2×C4—734no—
1984C2×C4—734no—
1985C2×C4—732no—
1986C2×C4—1464no—
1987C2×C4—1464no—
1988C2×C4—1464no—
1989C2×C4—1464no—
1990C2×C4—1468no—
1991C2×C4—1468no—
1992C2×C4—1464no—
1993C2×C4—1464no—
1994C2×C4—1468no—
1995C2×C4—1462no—
1996C2×C4—1464no—
1997C2×C4—1464no—
1998C2×C4C24×D7314yes—
1999C2×C4C24×D7314yes—
2000C2×C4C24×D7312yes—
2001C2×C4C24×D7312yes—
2002C2×C4C24×D7312yes—
2003C2×C4C24×D7314yes—
2004C2×C4C24×D7312yes—
2005C2×C4C24×D7312yes—
2006C2×C4C24×D7312yes—
2007C22—28no—
2008C22—21no—
2009C22—21no—
2010C22—21no—
2011C22—21no—
2012C22—21no—
2013C22—21no—
2014C22—24no—
2015C22—24no—
2016C22—24no—
2017C22—2924no—
2018C22—2928no—
2019C22—2928no—
2020C22—2924no—
2021C22—5848no—
2022C22—734no—
2023C22—1464no—
2024C22—1462no—
2025C22—1464no—
2026C22—1462no—
2027C22—1464no—
2028C22—1462no—
2029C22—1462no—
2030C22—1462no—
2031C22H(5,𝔽2)×D7312yes—
2032C222−1+4×D7312yes—
2033C22#1798942312yes—
2034C22C25×D7311yescharacteristic
2035C4—22no—
2036C4—22no—
2037C4—22no—
2038C4—22no—
2039C4—24no—
2040C4—24no—
2041C4—22no—
2042C4—22no—
2043C4—24no—
2044C4—734no—
2045C4—1462no—
2046C4—1464no—
2047C4—1464no—
2048C4—1464no—
2049C4—1464no—
2050C4—1464no—
2051C2—22no—
2052C2—22no—
2053C2—22no—
2054C2—44no—
2055C2—2922no—
2056C2—2924no—
2057C2—1464no—
2058C2C2×H(5,𝔽2)×D7311yescharacteristic
2059C2C2×2−1+4×D7311yescharacteristic
2060C2C2×#1798942311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3492C2
hypercenter#3492D73
hypocenterC73#62819
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3492

Complements

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

NH ≅ G/Ntype
1. #22624217C2semidirect
2. #22624209C2semidirect
3. #22624178C2semidirect
4. #22624173C2semidirect
5. #22624155C2semidirect
6. #22624148C2semidirect
7. #22624143C2semidirect
8. #22624132C2semidirect
9. #22623972C2semidirect
10. #22623970C2semidirect
11. #22623764C2semidirect
12. #22623730C2semidirect
13. #22623674C2semidirect
14. #22623640C2semidirect
15. #22623632C2semidirect
16. #22623632C2semidirect
17. #22623614C2semidirect
18. #22623614C2semidirect
19. #22623605C2semidirect
20. #22623578C2semidirect
21. #525×D73C2semidirect
22. C22×#14556569C2semidirect
23. C73×#3492C2semidirect
24. C2×#14556638C22semidirect
25. C2×#41×D73C22semidirect
26. C23×Dic146C22semidirect
28. #17989341C22semidirect
29. #17989339C22semidirect
30. #17989338C22semidirect
31. #17989336C22semidirect
32. #17989335C22semidirect
33. #17989334C22semidirect
34. #17989333C22semidirect
35. #17989332C22semidirect
36. #17989309C22semidirect
37. #17989304C22semidirect
38. #17989297C22semidirect
39. #17989296C22semidirect
40. #17989296C22semidirect
41. #17989293C22semidirect
42. #17989293C22semidirect
43. #17989292C22semidirect
44. #17989292C22semidirect
45. #17989291C22semidirect
46. #17989291C22semidirect
47. #17989291C22semidirect
48. #17989291C22semidirect
49. #17989286C22semidirect
50. #17989286C22semidirect
51. #17989285C22semidirect
52. #17989280C22semidirect
53. #17989280C22semidirect
54. #17989274C22semidirect
55. #17989274C22semidirect
56. #17989273C22semidirect
57. #17989272C22semidirect
58. #17989270C22semidirect
59. #17989270C22semidirect
60. #17989270C22semidirect
61. #17989269C22semidirect
62. #17989269C22semidirect
63. #17989266C22semidirect
64. #17989266C22semidirect
65. #17989266C22semidirect
66. #17989265C22semidirect
67. #17989264C22semidirect
68. #17989264C22semidirect
69. #17989262C22semidirect
70. #17989261C22semidirect
71. #17989261C22semidirect
72. #17989261C22semidirect
73. #17989260C22semidirect
74. #17989260C22semidirect
75. D4×Dic146C22semidirect
76. D4×Dic146C22semidirect
77. #17989252C22semidirect
78. #17989250C22semidirect
79. #17989250C22semidirect
80. #17989250C22semidirect
81. #17989247C22semidirect
82. #17989246C22semidirect
83. #17989246C22semidirect
84. #17989246C22semidirect
85. #17989243C22semidirect
86. #17989243C22semidirect
87. #17989238C22semidirect
88. #17989238C22semidirect
89. #17989236C22semidirect
90. #17989236C22semidirect
91. #17989235C22semidirect
92. #17989235C22semidirect
93. #17989235C22semidirect
94. #17989232C22semidirect
95. #17989232C22semidirect
96. #17989229C22semidirect
97. #17989229C22semidirect
98. #17989229C22semidirect
99. #17989226C22semidirect
100. #17989226C22semidirect
101. #17989226C22semidirect
102. #17989225C22semidirect
103. #17989225C22semidirect
104. #17989218C22semidirect
105. #17989217C22semidirect
106. #17989216C22semidirect
107. #17989216C22semidirect
108. #17989214C22semidirect
111. #17989212C22semidirect
112. #17989212C22semidirect
113. #17989209C22semidirect
114. #17989208C22semidirect
115. #17989207C22semidirect
116. #17989207C22semidirect
117. #17989205C22semidirect
118. #17989203C22semidirect
119. #17989196C22semidirect
120. #17989196C22semidirect
121. #17989186C22semidirect
122. #17989186C22semidirect
123. #17989185C22semidirect
124. #17989185C22semidirect
125. #17989184C22semidirect
126. #17989184C22semidirect
127. #17989184C22semidirect
128. #17989182C22semidirect
129. #17989182C22semidirect
130. #17989180C22semidirect
131. #17989179C22semidirect
132. #17989179C22semidirect
133. #17989179C22semidirect
134. #17989178C22semidirect
135. #17989177C22semidirect
136. #17989177C22semidirect
137. #17989176C22semidirect
138. #17989174C22semidirect
139. #17989174C22semidirect
140. #17989170C22semidirect
141. #17989170C22semidirect
142. #17989169C22semidirect
143. #17989168C22semidirect
144. #17989167C22semidirect
145. #17989164C22semidirect
146. #17989164C22semidirect
147. #17989164C22semidirect
148. #17989163C22semidirect
149. #17989162C22semidirect
150. #17989159C22semidirect
151. #17989159C22semidirect
152. #17989159C22semidirect
153. #17989158C22semidirect
156. #17989143C22semidirect
157. #17989141C22semidirect
158. #17989120C22semidirect
159. #17989115C22semidirect
161. #17989100C22semidirect
163. #17989098C22semidirect
164. #17989098C22semidirect
165. #17989098C22semidirect
167. #17989097C22semidirect
169. #17989096C22semidirect
170. #17989096C22semidirect
172. #17989095C22semidirect
174. #17989093C22semidirect
175. #17989093C22semidirect
176. #17989093C22semidirect
177. #123×D73C22semidirect
179. C2×#14556569C22semidirect
180. C2×#14556569C22semidirect
181. C2×#14556569C22semidirect
182. C2×#14556569C22semidirect
183. C2×#14556569C22semidirect
184. C2×#14556569C22semidirect
185. C2×#14556569C22semidirect
186. C2×#14556569C22semidirect
188. C22⋊Q8×D73C22semidirect
189. C22⋊Q8×D73C22semidirect
191. #121×D73C22semidirect
193. #17989068C22semidirect
194. #17989066C22semidirect
195. #17989066C22semidirect
196. #17989064C22semidirect
200. C4×D4×D73C22semidirect
201. #117×D73C22semidirect
202. C22×#11924007C22semidirect
203. C22×#11924007C22semidirect
206. #554×C73C22semidirect
207. #553×C73C22semidirect
208. #552×C73C22semidirect
209. #547×C73C22semidirect
210. #544×C73C22semidirect
211. #539×C73C22semidirect
212. #539×C73C22semidirect
213. #537×C73C22semidirect
214. #525×C73C22semidirect
215. #525×C73C22semidirect
216. #525×C73C22semidirect
217. #520×C73C22semidirect
218. C22×C4⋊C4×C73C22semidirect
226. C2×#11924028C23semidirect
231. C2×#11924027C23semidirect
239. C22×Dic146C23semidirect
241. C2×Q8×D73C23semidirect
257. #14556591C23semidirect
258. #14556590C23semidirect
259. #14556590C23semidirect
260. #14556590C23semidirect
261. #14556590C23semidirect
262. #14556590C23semidirect
263. #14556590C23semidirect
264. #14556590C23semidirect
265. #14556589C23semidirect
266. #14556589C23semidirect
267. #14556589C23semidirect
274. #14556586C23semidirect
275. #14556586C23semidirect
276. #14556586C23semidirect
277. #14556586C23semidirect
280. #14556585C23semidirect
281. #14556585C23semidirect
282. #14556584C23semidirect
283. #14556584C23semidirect
284. #14556584C23semidirect
285. #14556584C23semidirect
286. #14556583C23semidirect
287. #14556583C23semidirect
288. #14556582C23semidirect
289. #14556582C23semidirect
290. #14556582C23semidirect
291. #14556581C23semidirect
292. #14556581C23semidirect
293. #14556581C23semidirect
294. #14556581C23semidirect
295. #14556581C23semidirect
296. #14556581C23semidirect
297. #14556581C23semidirect
298. #14556581C23semidirect
299. #14556581C23semidirect
300. #14556581C23semidirect
305. #14556579C23semidirect
306. #14556578C23semidirect
311. #14556577C23semidirect
312. #14556577C23semidirect
313. #14556577C23semidirect
314. #14556577C23semidirect
323. #14556576C23semidirect
324. #14556576C23semidirect
325. #14556576C23semidirect
326. #14556576C23semidirect
337. #14556574C23semidirect
338. #14556574C23semidirect
343. #14556573C23semidirect
344. #14556573C23semidirect
348. #14556572C23semidirect
349. #14556572C23semidirect
354. #14556571C23semidirect
355. #14556571C23semidirect
356. #14556571C23semidirect
363. #14556570C23semidirect
364. #14556570C23semidirect
365. #14556570C23semidirect
366. #14556570C23semidirect
389. #14556569C23semidirect
390. #14556569C23semidirect
391. #14556569C23semidirect
392. #14556569C23semidirect
393. #14556569C23semidirect
394. #14556569C23semidirect
395. #14556569C23semidirect
396. #14556569C23semidirect
397. #14556569C23semidirect
398. #14556569C23semidirect
405. #14556568C23semidirect
406. #14556568C23semidirect
407. #14556568C23semidirect
408. #14556568C23semidirect
409. #14556568C23semidirect
410. #14556568C23semidirect
411. #14556568C23semidirect
412. #14556568C23semidirect
417. #14556567C23semidirect
418. #14556567C23semidirect
423. #14556566C23semidirect
436. #14556564C23semidirect
437. #14556564C23semidirect
446. #14556563C23semidirect
447. #14556563C23semidirect
461. C4×Dic146C23semidirect
462. C4×Dic146C23semidirect
463. C4×Dic146C23semidirect
464. C4×Dic146C23semidirect
465. #14556556C23semidirect
466. #14556556C23semidirect
467. #14556556C23semidirect
468. #14556556C23semidirect
469. #14556556C23semidirect
484. #14556553C23semidirect
495. C4×C22⋊D73C23semidirect
496. C4×C22⋊D73C23semidirect
507. #14556551C23semidirect
508. #14556551C23semidirect
516. #14556549C23semidirect
520. #14556548C23semidirect
521. #14556548C23semidirect
525. #14556547C23semidirect
526. #14556547C23semidirect
536. C2×#11924007C23semidirect
537. C2×#11924007C23semidirect
542. C4⋊C4×D73C23semidirect
543. C4⋊C4×D73C23semidirect
544. C4⋊C4×D73C23semidirect
571. C4⋊Q8×C73C23semidirect
572. #126×C73C23semidirect
573. #126×C73C23semidirect
574. #125×C73C23semidirect
575. #125×C73C23semidirect
576. #125×C73C23semidirect
580. #123×C73C23semidirect
581. #123×C73C23semidirect
588. C22⋊Q8×C73C23semidirect
589. C22⋊Q8×C73C23semidirect
590. C22⋊Q8×C73C23semidirect
597. #121×C73C23semidirect
599. C4×Q8×C73C23semidirect
606. C4×D4×C73C23semidirect
610. #117×C73C23semidirect
617. C2×C4⋊C4×C73C23semidirect
877. C22×D732−1+4semidirect
1047. #3492D73semidirect
1054. C73#62819semidirect
1080. #554C2×D73semidirect
1086. #553C2×D73semidirect
1096. #552C2×D73semidirect
1128. #547C2×D73semidirect
1144. #544C2×D73semidirect
1171. #539C2×D73semidirect
1172. #539C2×D73semidirect
1186. #537C2×D73semidirect
1216. #525C2×D73semidirect
1217. #525C2×D73semidirect
1218. #525C2×D73semidirect
1238. #520C2×D73semidirect
1247. C22×C4⋊C4C2×D73semidirect
1305. C4⋊Q8C22×D73semidirect
1324. #126C22×D73semidirect
1325. #126C22×D73semidirect
1341. #125C22×D73semidirect
1342. #125C22×D73semidirect
1343. #125C22×D73semidirect
1396. #123C22×D73semidirect
1397. #123C22×D73semidirect
1473. C22⋊Q8C22×D73semidirect
1474. C22⋊Q8C22×D73semidirect
1475. C22⋊Q8C22×D73semidirect
1513. #121C22×D73semidirect
1535. C4×Q8C22×D73semidirect
1581. C4×D4C22×D73semidirect
1603. #117C22×D73semidirect
1628. C2×C4⋊C4C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226242172
#226242092
#226241782
#226241732
#226241552
#226241482
#226241432
#226241322
#226239722
#226239702
#226237642
#226237302
#226236742
#226236402
#226236322
#226236142
#226236052
#226235782
#525×D732
C22×#145565692
C73×#34922
#6281973