Finite Group Databasebeta

← #26005237

Subgroups — #26005237

Order 11008.

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#19148883C214yesmaximal, complemented
2#19148875C214yesmaximal, complemented
3#19148835C214yesmaximal, complemented
4#19148810C214yesmaximal, complemented
5#19148800C214yesmaximal, complemented
6#19148792C214yesmaximal, complemented
7#19148633C214yesmaximal, complemented
8#19148631C214yesmaximal, complemented
9#19148432C212yesmaximal, complemented
10#19148425C212yesmaximal, complemented
11#19148395C212yesmaximal, complemented
12#19148393C212yesmaximal, complemented
13#19148334C214yesmaximal, complemented
14#19148301C212yesmaximal, complemented
15#19148296C212yesmaximal, complemented
16#19148296C212yesmaximal, complemented
17#19148284C211yesmaximal, characteristic, complemented
18#19148282C212yesmaximal, complemented
19#19148266C214yesmaximal, complemented
20#19148242C212yesmaximal, complemented
21C2×#14583405C212yesmaximal, complemented
22C22×#13063302C211yesmaximal, characteristic, complemented
23C43×#3490C211yesmaximal, characteristic, complemented
24C2×#13063372C2212yescomplemented
25C22×#10621900C2212yescomplemented
26C23×Dic86C2211yescharacteristic, complemented
27C24×Dic43C2211yescharacteristic
28#14583652C2214yescomplemented
29#14583651C2214yescomplemented
30#14583651C2214yescomplemented
31#14583649C2214yescomplemented
32#14583646C2214yescomplemented
33#14583644C2214yescomplemented
34#14583644C2214yescomplemented
35#14583643C2214yescomplemented
36#14583618C2214yescomplemented
37#14583616C2214yescomplemented
38#14583608C2214yescomplemented
39#14583608C2214yescomplemented
40#14583608C2214yescomplemented
41#14583608C2214yescomplemented
42#14583607C2214yescomplemented
43#14583607C2214yescomplemented
44#14583606C2214yescomplemented
45#14583606C2214yescomplemented
46#14583603C2214yescomplemented
47#14583603C2214yescomplemented
48#14583603C2214yescomplemented
49#14583603C2214yescomplemented
50#14583601C2214yescomplemented
51#14583598C2214yescomplemented
52#14583598C2214yescomplemented
53#14583595C2214yescomplemented
54#14583592C2214yescomplemented
55#14583592C2214yescomplemented
56#14583591C2214yescomplemented
57#14583589C2214yescomplemented
58#14583586C2214yescomplemented
59#14583586C2214yescomplemented
60#14583586C2214yescomplemented
61#14583586C2214yescomplemented
62#14583585C2214yescomplemented
63#14583582C2214yescomplemented
64#14583582C2214yescomplemented
65#14583582C2214yescomplemented
66#14583580C2214yescomplemented
67#14583580C2214yescomplemented
68#14583580C2214yescomplemented
69#14583575C2214yescomplemented
70#14583575C2214yescomplemented
71#14583575C2214yescomplemented
72#14583575C2214yescomplemented
73#14583575C2214yescomplemented
74#14583573C2214yescomplemented
75#14583572C2214yescomplemented
76D4×Dic86C2214yescomplemented
77D4×Dic86C2214yescomplemented
78D4×Dic86C2214yescomplemented
79#14583562C2214yescomplemented
80#14583562C2214yescomplemented
81#14583562C2214yescomplemented
82#14583558C2214yescomplemented
83#14583558C2214yescomplemented
84#14583557C2214yescomplemented
85#14583555C2214yescomplemented
86#14583555C2214yescomplemented
87#14583555C2214yescomplemented
88#14583553C2214yescomplemented
89#14583549C2214yescomplemented
90#14583549C2214yescomplemented
91#14583548C2214yescomplemented
92#14583548C2214yescomplemented
93#14583547C2214yescomplemented
94#14583547C2214yescomplemented
95#14583547C2214yescomplemented
96#14583543C2214yescomplemented
97#14583543C2214yescomplemented
98#14583539C2214yescomplemented
99#14583539C2214yescomplemented
100#14583539C2214yescomplemented
101#14583536C2214yescomplemented
102#14583536C2214yescomplemented
103#14583536C2214yescomplemented
104#14583528C2212yescomplemented
105#14583528C2212yescomplemented
106#14583528C2214yescomplemented
107#14583527C2214yescomplemented
108#14583527C2212yescomplemented
109#14583525C2211yescharacteristic
110#14583525C2212yes—
111#14583525C2214yescomplemented
112#14583524C2214yescomplemented
113#14583518C2214yescomplemented
114#14583517C2214yescomplemented
115#14583516C2214yescomplemented
116#14583515C2214yescomplemented
117#14583513C2214yescomplemented
118#14583513C2214yescomplemented
119#14583506C2214yescomplemented
120#14583506C2214yescomplemented
121#14583498C2212yescomplemented
122#14583498C2212yescomplemented
123#14583494C2212yescomplemented
124#14583494C2212yescomplemented
125#14583494C2214yescomplemented
126#14583493C2214yescomplemented
127#14583493C2214yescomplemented
128#14583493C2214yescomplemented
129#14583493C2214yescomplemented
130#14583492C2214yescomplemented
131#14583491C2214yescomplemented
132#14583491C2214yescomplemented
133#14583491C2214yescomplemented
134#14583490C2214yescomplemented
135#14583487C2212yescomplemented
136#14583487C2212yescomplemented
137#14583484C2214yescomplemented
138#14583484C2214yescomplemented
139#14583484C2214yescomplemented
140#14583482C2214yescomplemented
141#14583478C2214yescomplemented
142#14583477C2212yescomplemented
143#14583476C2212yescomplemented
144#14583476C2212yescomplemented
145#14583476C2214yescomplemented
146#14583475C2212yescomplemented
147#14583471C2214yescomplemented
148#14583471C2214yescomplemented
149#14583471C2214yescomplemented
150#14583470C2212yescomplemented
151#14583469C2214yescomplemented
152#14583461C2211yescharacteristic
153#14583458C2212yes—
154#14583452C2214yescomplemented
155#14583451C2214yescomplemented
156#14583429C2214yescomplemented
157#14583426C2214yescomplemented
158#14583410C2212yescomplemented
159#14583410C2212yescomplemented
160#14583408C2214yescomplemented
161#14583405C2214yes—
162#14583405C2214yes—
163#14583405C2214yes—
164#14583405C2214yes—
165#14583405C2214yescomplemented
166#14583405C2214yescomplemented
167#14583405C2214yescomplemented
168#14583405C2214yescomplemented
169#14583405C2214yescomplemented
170#14583405C2214yescomplemented
171#14583405C2214yescomplemented
172C2×#13063309C2212yescomplemented
173C2×#13063306C2212yescomplemented
174C2×#13063302C2212yes—
175C2×#13063302C2212yes—
176C2×#13063302C2212yes—
177C2×#13063302C2214yescomplemented
178C2×#13063302C2214yescomplemented
179C2×#13063302C2212yescomplemented
180C2×#13063302C2214yescomplemented
181C2×#13063302C2212yescomplemented
182C2×#13063302C2212yescomplemented
183C2×#13063302C2214yescomplemented
184C2×#13063302C2214yescomplemented
185C22⋊Q8×D43C2214yescomplemented
186C2×#13063297C2212yes—
187C2×#13063297C2212yescomplemented
188C2×#13063294C2212yes—
189#14583382C2212yescomplemented
190#14583379C2212yescomplemented
191#14583378C2214yescomplemented
192#14583378C2214yescomplemented
193#14583376C2212yescomplemented
194#14583374C2212yes—
195#14583372C2212yes—
196#14583372C2212yes—
197C2×D4×Dic43C2212yes—
198C2×D4×Dic43C2212yescomplemented
199C2×(C22⋊D43)⋊C4C2212yes—
200C2×(C22⋊D43)⋊C4C2212yescomplemented
201C2×#13063281C2212yescomplemented
202C22×C4⋊Dic43C2211yescharacteristic, complemented
203C22×Dic43⋊C4C2211yescharacteristic, complemented
204C22×Dic43⋊C4C2211yescharacteristic, complemented
205C22×C22⋊Dic43C2211yescharacteristic
206C43×#551C2214yescomplemented
207C43×#551C2214yescomplemented
208C43×#546C2214yescomplemented
209C43×#546C2214yescomplemented
210C43×#543C2211yescharacteristic
211C43×#538C2212yescomplemented
212C43×#538C2212yescomplemented
213C43×#534C2211yescharacteristic
214C43×#525C2212yescomplemented
215C43×#525C2212yescomplemented
216C2×#120×C43C2212yes—
217C43×#518C2212yes—
218C22×C22⋊C4×C43C2211yescharacteristic
219#13063372—48no—
220C2×#10621898C2312yes—
221C2×#10621898C2312yes—
222C2×#10621898C2314yescomplemented
223C2×#10621900—48no—
224C2×#10621900C2314yes—
225C2×#10621900C2314yes—
226C2×#10621900C2314yes—
227C2×#10621900C2314yes—
228C2×#10621900C2314yes—
229C2×#10621900C2314yes—
230C2×#10621900C2314yescomplemented
231C22×Dic86—44no—
232C22×Dic86C2312yes—
233C22×Dic86C2312yes—
234C22×Dic86C2314yes—
235C22×Dic86C2312yes—
236C22×Dic86C2312yes—
237C22×Dic86C2312yes—
238C22×Dic86C2314yescomplemented
239C2×Q8×D43C2314yescomplemented
240C22×C22⋊D43C2312yes—
241C22×C22⋊D43C2312yes—
242C22×C22⋊D43C2312yes—
243C22×C22⋊D43C2312yes—
244C23×Dic43—44no—
245C23×Dic43C2311yescharacteristic
246C23×Dic43C2312yes—
247C23×Dic43C2311yescharacteristic
248C23×Dic43C2311yescharacteristic
249C23×Dic43C2311yescharacteristic
250C23×Dic43C2312yes—
251C23×Dic43C2312yes—
252C23×Dic43C2312yes—
253C23×Dic43C2312yes—
254C23×Dic43C2312yes—
255C23×Dic43C2312yes—
256C22×C4×D43C2312yes—
257#13063325C2314yescomplemented
258#13063325C2314yescomplemented
259#13063324C2314yescomplemented
260#13063324C2314yescomplemented
261#13063324C2314yescomplemented
262#13063324C2314yescomplemented
263#13063324C2314yescomplemented
264#13063324C2314yescomplemented
265#13063324C2314yescomplemented
266#13063323C2314yescomplemented
267#13063323C2314yescomplemented
268#13063323C2314yescomplemented
269#13063320C2314yescomplemented
270#13063320C2314yescomplemented
271#13063320C2314yescomplemented
272#13063320C2314yescomplemented
273#13063319C2314yescomplemented
274#13063319C2314yescomplemented
275#13063318C2314yes—
276#13063318C2314yes—
277#13063318C2314yes—
278#13063318C2314yes—
279#13063318C2314yes—
280#13063318C2314yes—
281#13063318C2314yescomplemented
282#13063318C2314yescomplemented
283#13063318C2314yescomplemented
284#13063318C2314yescomplemented
285#13063318C2314yescomplemented
286#13063318C2314yescomplemented
287#13063317C2314yescomplemented
288#13063317C2314yescomplemented
289#13063317C2314yescomplemented
290#13063316C2314yescomplemented
291#13063316C2314yescomplemented
292#13063316C2314yescomplemented
293#13063316C2314yescomplemented
294#13063316C2314yescomplemented
295#13063315C2314yescomplemented
296#13063315C2314yescomplemented
297#13063315C2314yescomplemented
298#13063315C2314yescomplemented
299#13063315C2314yescomplemented
300#13063315C2314yescomplemented
301#13063315C2314yescomplemented
302#13063315C2314yescomplemented
303#13063315C2314yescomplemented
304#13063315C2314yescomplemented
305#13063313C2314yescomplemented
306#13063312C2314yes—
307#13063312C2314yes—
308#13063312C2314yescomplemented
309#13063311C2314yes—
310#13063311C2314yes—
311#13063311C2314yes—
312#13063311C2314yes—
313#13063311C2314yescomplemented
314#13063311C2314yescomplemented
315#13063311C2314yescomplemented
316#13063311C2314yescomplemented
317#13063310C2314yescomplemented
318#13063310C2314yescomplemented
319#13063309C2314yes—
320#13063309C2314yes—
321#13063309C2314yes—
322#13063309C2314yes—
323#13063309C2314yes—
324#13063309C2314yes—
325#13063309C2314yes—
326#13063309C2314yescomplemented
327#13063309C2314yescomplemented
328#13063308C2314yes—
329#13063308C2314yes—
330#13063308C2314yes—
331#13063308C2314yescomplemented
332#13063308C2314yescomplemented
333#13063307C2314yes—
334#13063307C2314yes—
335#13063307C2314yes—
336#13063307C2314yes—
337#13063307C2314yescomplemented
338#13063307C2314yescomplemented
339#13063307C2314yescomplemented
340#13063307C2314yescomplemented
341#13063306C2314yes—
342#13063306C2314yes—
343#13063306C2314yes—
344#13063306C2314yes—
345#13063306C2314yes—
346#13063306C2314yes—
347#13063306C2314yes—
348#13063306C2314yes—
349#13063306C2314yes—
350#13063306C2314yescomplemented
351#13063306C2314yescomplemented
352#13063305C2314yescomplemented
353#13063305C2314yescomplemented
354#13063305C2314yescomplemented
355#13063305C2314yescomplemented
356#13063304C2312yes—
357#13063304C2312yes—
358#13063304C2314yes—
359#13063304C2312yes—
360#13063304C2314yes—
361#13063304C2312yes—
362#13063304C2314yescomplemented
363#13063304C2314yescomplemented
364#13063304C2314yescomplemented
365#13063304C2314yescomplemented
366#13063304C2314yescomplemented
367#13063303C2314yescomplemented
368#13063303C2314yescomplemented
369#13063303C2314yescomplemented
370#13063303C2314yescomplemented
371#13063303C2314yescomplemented
372#13063303C2314yescomplemented
373#13063303C2314yescomplemented
374#13063303C2314yescomplemented
375#13063302C2314yes—
376#13063302C2314yes—
377#13063302C2314yes—
378#13063302C2314yes—
379#13063302C2314yes—
380#13063302C2314yes—
381#13063302C2314yes—
382#13063302C2314yes—
383#13063302C2314yes—
384#13063302C2314yes—
385#13063302C2314yes—
386#13063302C2314yes—
387#13063302C2314yes—
388#13063302C2314yes—
389#13063302C2314yes—
390#13063302C2314yes—
391#13063302C2314yes—
392#13063302C2314yes—
393#13063302C2314yes—
394#13063302C2314yes—
395#13063302C2314yes—
396#13063302C2314yes—
397#13063302C2314yes—
398#13063302C2314yes—
399#13063302C2314yes—
400#13063302C2314yes—
401#13063302C2314yes—
402#13063302C2314yes—
403#13063302C2314yes—
404#13063302C2314yes—
405#13063302C2314yes—
406#13063302C2314yes—
407#13063302C2314yescomplemented
408#13063302C2314yescomplemented
409#13063302C2314yescomplemented
410#13063302C2314yescomplemented
411#13063302C2314yescomplemented
412#13063302C2314yescomplemented
413#13063302C2314yescomplemented
414#13063302C2314yescomplemented
415#13063302C2314yescomplemented
416#13063302C2314yescomplemented
417#13063301C2314yescomplemented
418#13063301C2314yescomplemented
419#13063301C2314yescomplemented
420#13063299C2312yes—
421#13063299C2312yes—
422#13063299C2312yes—
423#13063299C2312yes—
424#13063299C2314yescomplemented
425#13063298C2314yes—
426#13063298C2314yes—
427#13063298C2314yescomplemented
428#13063298C2314yescomplemented
429#13063297C2314yes—
430#13063297C2314yes—
431#13063297C2314yes—
432#13063297C2314yes—
433#13063297C2314yes—
434#13063297C2314yes—
435#13063297C2314yes—
436#13063297C2314yes—
437#13063297C2314yes—
438#13063297C2314yes—
439#13063297C2314yes—
440#13063297C2314yes—
441#13063297C2314yes—
442#13063297C2314yes—
443#13063297C2314yescomplemented
444#13063297C2314yescomplemented
445#13063296C2314yes—
446#13063296C2314yes—
447#13063296C2314yescomplemented
448#13063295C2314yes—
449#13063294C2314yes—
450#13063294C2314yes—
451#13063294C2314yes—
452#13063294C2314yes—
453#13063294C2314yes—
454#13063293C2314yes—
455Q8×Dic43C2314yescomplemented
456C4×Dic86C2314yescomplemented
457C4×Dic86C2314yescomplemented
458C4×Dic86C2314yescomplemented
459C4×Dic86C2314yescomplemented
460C4×Dic86C2314yescomplemented
461#13063290C2314yescomplemented
462#13063290C2314yescomplemented
463#13063290C2314yescomplemented
464#13063290C2314yescomplemented
465C4×D172C2314yescomplemented
466D4×Dic43C2314yes—
467D4×Dic43C2314yes—
468D4×Dic43C2314yes—
469D4×Dic43C2314yes—
470D4×Dic43C2314yes—
471D4×Dic43C2314yes—
472D4×Dic43C2314yes—
473D4×Dic43C2314yes—
474D4×Dic43C2314yes—
475D4×Dic43C2314yes—
476D4×Dic43C2314yes—
477D4×Dic43C2314yes—
478D4×Dic43C2314yes—
479D4×Dic43C2314yes—
480D4×Dic43C2314yescomplemented
481C4×C22⋊D43C2314yes—
482C4×C22⋊D43C2314yes—
483C4×C22⋊D43C2314yes—
484C4×C22⋊D43C2314yes—
485C4×C22⋊D43C2314yes—
486C4×C22⋊D43C2314yes—
487C4×C22⋊D43C2314yescomplemented
488C4×C22⋊D43C2314yescomplemented
489(C22⋊D43)⋊C4C2314yes—
490(C22⋊D43)⋊C4C2314yes—
491(C22⋊D43)⋊C4C2314yes—
492(C22⋊D43)⋊C4C2314yes—
493(C22⋊D43)⋊C4C2314yes—
494(C22⋊D43)⋊C4C2314yes—
495(C22⋊D43)⋊C4C2314yes—
496(C22⋊D43)⋊C4C2314yes—
497(C22⋊D43)⋊C4C2314yes—
498(C22⋊D43)⋊C4C2314yes—
499(C22⋊D43)⋊C4C2314yes—
500(C22⋊D43)⋊C4C2314yes—
501(C22⋊D43)⋊C4C2314yes—
502(C22⋊D43)⋊C4C2314yes—
503(C22⋊D43)⋊C4C2314yescomplemented
504(C22⋊D43)⋊C4C2314yescomplemented
505#13063284C2314yes—
506#13063284C2312yes—
507#13063284C2312yes—
508#13063284C2314yescomplemented
509#13063283C2314yescomplemented
510#13063282C2314yescomplemented
511#13063282C2314yescomplemented
512#13063281C2314yes—
513#13063281C2314yes—
514#13063281C2314yes—
515#13063281C2314yes—
516#13063281C2314yes—
517#13063281C2314yes—
518#13063281C2314yes—
519#13063281C2314yes—
520#13063281C2314yescomplemented
521#13063281C2314yescomplemented
522C2×C4⋊Dic43C2314yes—
523C2×C4⋊Dic43C2312yes—
524C2×C4⋊Dic43C2312yes—
525C2×C4⋊Dic43C2312yes—
526C2×C4⋊Dic43C2312yes—
527C2×C4⋊Dic43C2312yes—
528C2×C4⋊Dic43C2312yes—
529C2×C4⋊Dic43C2314yescomplemented
530C2×Dic43⋊C4C2312yes—
531C2×Dic43⋊C4C2314yes—
532C2×Dic43⋊C4C2314yes—
533C2×Dic43⋊C4C2312yes—
534C2×Dic43⋊C4C2312yes—
535C2×Dic43⋊C4C2312yes—
536C2×Dic43⋊C4C2312yes—
537C2×Dic43⋊C4C2312yes—
538C2×Dic43⋊C4C2312yes—
539C2×Dic43⋊C4C2312yes—
540C2×Dic43⋊C4C2312yes—
541C2×Dic43⋊C4C2312yes—
542C2×Dic43⋊C4C2312yes—
543C2×Dic43⋊C4C2312yes—
544C2×Dic43⋊C4C2314yescomplemented
545C2×Dic43⋊C4C2314yescomplemented
546C4⋊C4×D43C2314yescomplemented
547C4⋊C4×D43C2314yescomplemented
548C4⋊C4×D43C2314yescomplemented
549C2×C22⋊Dic43C2312yes—
550C2×C22⋊Dic43C2312yes—
551C2×C22⋊Dic43C2312yes—
552C2×C22⋊Dic43C2314yes—
553C2×C22⋊Dic43C2314yes—
554C2×C22⋊Dic43C2314yes—
555C2×C22⋊Dic43C2312yes—
556C2×C22⋊Dic43C2312yes—
557C2×C22⋊Dic43C2312yes—
558C2×C22⋊Dic43C2312yes—
559C2×(C2×D43)⋊C4C2312yes—
560C2×(C2×D43)⋊C4C2312yes—
561C22⋊C4×D43C2314yes—
562C22⋊C4×D43C2314yes—
563C2×C4×Dic43C2312yes—
564C2×C4×Dic43C2312yes—
565C25×C43C2311yescharacteristic
566C2×#41×C43C2312yes—
567C2×#41×C43C2312yes—
568C22×D4×C43C2312yes—
569C22×D4×C43C2312yes—
570C22×D4×C43C2312yes—
571C23×C4×C43C2311yescharacteristic
572C23×C4×C43C2311yescharacteristic
573#126×C43C2314yes—
574#126×C43C2314yes—
575#124×C43C2314yes—
576#124×C43C2314yes—
577#123×C43C2314yes—
578#123×C43C2314yes—
579#123×C43C2314yes—
580#123×C43C2314yes—
581#123×C43C2314yes—
582C22⋊Q8×C43C2312yes—
583C22⋊Q8×C43C2312yes—
584C22⋊Q8×C43C2314yes—
585C22⋊Q8×C43C2312yes—
586C22⋊Q8×C43C2312yes—
587C22⋊Q8×C43C2314yes—
588#121×C43C2312yes—
589#121×C43C2312yes—
590#121×C43C2314yes—
591#121×C43C2312yes—
592#121×C43C2312yes—
593#121×C43C2314yes—
594#120×C43C2314yes—
595#120×C43C2314yes—
596#120×C43C2314yes—
597#120×C43C2314yes—
598#120×C43C2314yes—
599C4×D4×C43C2314yes—
600C4×D4×C43C2314yes—
601C4×D4×C43C2314yes—
602C4×D4×C43C2314yes—
603C4×D4×C43C2314yes—
604C4×D4×C43C2314yes—
605#117×C43C2314yes—
606#117×C43C2312yes—
607#117×C43C2312yes—
608C2×C22⋊C4×C43C2311yescharacteristic
609C2×C22⋊C4×C43C2314yes—
610C2×C22⋊C4×C43C2314yes—
611C2×C22⋊C4×C43C2311yescharacteristic
612C2×C22⋊C4×C43C2311yescharacteristic
613C2×C22⋊C4×C43C2311yescharacteristic
614C2×C22⋊C4×C43C2314yes—
615C2×C22⋊C4×C43C2312yes—
616C2×C22⋊C4×C43C2312yes—
617C2×C22⋊C4×C43C2312yes—
618C24×C43—24no—
619C24×C43—42no—
620C24×C43—42no—
621C24×C43C2411yescharacteristic
622C24×C43C2412yes—
623C24×C43C2412yes—
624C24×C43C2411yescharacteristic
625C24×C43C2412yes—
626C24×C43C2411yescharacteristic
627C23×D43C2412yes—
628#41×C43—44no—
629#41×C43—44no—
630C2×Q8×C43C2412yes—
631C2×Q8×C43C2412yes—
632C2×D4×C43—28no—
633C2×D4×C43—44no—
634C2×D4×C43—44no—
635C2×D4×C43C2414yes—
636C2×D4×C43C2414yes—
637C2×D4×C43C2414yes—
638C2×D4×C43C2414yes—
639C2×D4×C43C2412yes—
640C2×D4×C43C2412yes—
641C2×D4×C43C2414yes—
642C2×D4×C43C2414yes—
643C22×C4×C43—42no—
644C22×C4×C43—42no—
645C22×C4×C43C2412yes—
646C22×C4×C43C2412yes—
647C22×C4×C43C2412yes—
648C22×C4×C43C2411yescharacteristic
649C22×C4×C43C2411yescharacteristic
650C22×C4×C43C2412yes—
651C22×C4×C43C2412yes—
652C22×C4×C43C2412yes—
653C22×C4×C43C2412yes—
654C22×C4×C43C2411yescharacteristic
655C22×C4×C43C2411yescharacteristic
656C22×C4×C43C2414yes—
657C22×C4×C43C2414yes—
658C2×C22⋊D43—28no—
659C2×C22⋊D43—44no—
660C2×C22⋊D43—44no—
661C2×C22⋊D43—44no—
662C2×C22⋊D43C2414yes—
663C2×C22⋊D43C2414yes—
664C2×C22⋊D43C2414yes—
665C2×C22⋊D43C2414yes—
666C2×C22⋊D43C2414yes—
667C2×C22⋊D43C2414yes—
668C2×C22⋊D43C2414yes—
669C2×C22⋊D43C2414yes—
670C2×C22⋊D43C2414yes—
671C2×C22⋊D43C2414yes—
672C22×Dic43—24no—
673C22×Dic43—28no—
674C22×Dic43—42no—
675C22×Dic43—44no—
676C22×Dic43—42no—
677C22×Dic43—42no—
678C22×Dic43—44no—
679C22×Dic43—44no—
680C22×Dic43—44no—
681C22×Dic43—44no—
682C22×Dic43—44no—
683C22×Dic43C2412yes—
684C22×Dic43C2412yes—
685C22×Dic43C2412yes—
686C22×Dic43C2412yes—
687C22×Dic43C2412yes—
688C22×Dic43C2412yes—
689C22×Dic43C2412yes—
690C22×Dic43C2412yes—
691C22×Dic43C2411yescharacteristic
692C22×Dic43C2414yes—
693C22×Dic43C2412yes—
694C22×Dic43C2412yes—
695C22×Dic43C2412yes—
696C22×Dic43C2412yes—
697C22×Dic43C2412yes—
698C22×Dic43C2412yes—
699C22×Dic43C2412yes—
700C22×Dic43C2412yes—
701C22×Dic43C2412yes—
702C22×Dic43C2412yes—
703C22×Dic43C2414yes—
704C22×Dic43C2414yes—
705C22×Dic43C2411yescharacteristic
706C22×Dic43C2412yes—
707C22×Dic43C2411yescharacteristic
708C22×Dic43C2414yes—
709C22×Dic43C2412yes—
710C22×Dic43C2412yes—
711C22×Dic43C2411yescharacteristic
712Q8×D43—48no—
713#10621900—216no—
714#10621900—48no—
715#10621900—48no—
716#10621900—48no—
717#10621900—48no—
718#10621900—48no—
719#10621900—48no—
720#10621898—48no—
721#10621898—44no—
722#10621898—44no—
723C2×D172C2412yes—
724C2×D172C2412yes—
725C2×C4×D43—44no—
726C2×C4×D43C2414yes—
727C2×C4×D43C2414yes—
728C2×C4×D43C2414yes—
729C2×C4×D43C2414yes—
730C2×C4×D43C2414yes—
731C2×C4×D43C2414yes—
732C2×Dic86—28no—
733C2×Dic86—44no—
734C2×Dic86—48no—
735C2×Dic86—44no—
736C2×Dic86—44no—
737C2×Dic86—48no—
738C2×Dic86—44no—
739C2×Dic86C2414yes—
740C2×Dic86C2414yes—
741C2×Dic86C2414yes—
742C2×Dic86C2414yes—
743C2×Dic86C2412yes—
744C2×Dic86C2414yes—
745C2×Dic86C2414yes—
746C2×Dic86C2414yes—
747C2×Dic86C2414yes—
748C2×Dic86C2412yes—
749C4⋊C4×C43C2414yes—
750C4⋊C4×C43C2414yes—
751C4⋊C4×C43C2412yes—
752C4⋊C4×C43C2412yes—
753C4⋊C4×C43C2412yes—
754C4⋊C4×C43C2412yes—
755C4⋊C4×C43C2414yes—
756C4⋊C4×C43C2414yes—
757C22⋊C4×C43C2414yes—
758C22⋊C4×C43C2414yes—
759C22⋊C4×C43C2414yes—
760C22⋊C4×C43C2414yes—
761C22⋊C4×C43C2414yes—
762C22⋊C4×C43C2414yes—
763C22⋊C4×C43C2414yes—
764C22⋊C4×C43C2414yes—
765C22⋊C4×C43C2414yes—
766C22⋊C4×C43C2414yes—
767C22⋊C4×C43C2414yes—
768C22⋊C4×C43C2414yes—
769C22⋊C4×C43C2414yes—
770C22⋊C4×C43C2414yes—
771C42×C43C2414yes—
772C42×C43C2414yes—
773C22⋊Dic43C2414yes—
774C22⋊Dic43C2414yes—
775C22⋊Dic43C2414yes—
776C22⋊Dic43C2414yes—
777C22⋊Dic43C2414yes—
778C22⋊Dic43C2414yes—
779C22⋊Dic43C2414yes—
780C22⋊Dic43C2414yes—
781C22⋊Dic43C2414yes—
782C22⋊Dic43C2414yes—
783C22⋊Dic43C2414yes—
784C22⋊Dic43C2414yes—
785C22⋊Dic43C2414yes—
786C22⋊Dic43C2414yes—
787C22⋊Dic43C2414yes—
788C22⋊Dic43C2414yes—
789C22⋊Dic43C2414yes—
790C22⋊Dic43C2414yes—
791(C2×D43)⋊C4C2414yes—
792(C2×D43)⋊C4C2414yes—
793(C2×D43)⋊C4C2414yes—
794(C2×D43)⋊C4C2414yes—
795(C2×D43)⋊C4C2414yes—
796(C2×D43)⋊C4C2414yes—
797(C2×D43)⋊C4C2414yes—
798(C2×D43)⋊C4C2414yes—
799(C2×D43)⋊C4C2414yes—
800(C2×D43)⋊C4C2414yes—
801(C2×D43)⋊C4C2414yes—
802(C2×D43)⋊C4C2414yes—
803C4⋊Dic43C2414yes—
804C4⋊Dic43C2414yes—
805C4⋊Dic43C2414yes—
806C4⋊Dic43C2414yes—
807C4⋊Dic43C2414yes—
808C4⋊Dic43C2414yes—
809C4⋊Dic43C2414yes—
810C4⋊Dic43C2414yes—
811C4⋊Dic43C2414yes—
812C4⋊Dic43C2412yes—
813C4⋊Dic43C2414yes—
814C4⋊Dic43C2412yes—
815C4⋊Dic43C2414yes—
816C4⋊Dic43C2414yes—
817C4⋊Dic43C2412yes—
818C4⋊Dic43C2412yes—
819Dic43⋊C4C2414yes—
820Dic43⋊C4C2414yes—
821Dic43⋊C4C2414yes—
822Dic43⋊C4C2414yes—
823Dic43⋊C4C2414yes—
824Dic43⋊C4C2414yes—
825Dic43⋊C4C2414yes—
826Dic43⋊C4C2414yes—
827Dic43⋊C4C2414yes—
828Dic43⋊C4C2414yes—
829Dic43⋊C4C2414yes—
830Dic43⋊C4C2414yes—
831Dic43⋊C4C2414yes—
832Dic43⋊C4C2414yes—
833Dic43⋊C4C2414yes—
834Dic43⋊C4C2414yes—
835Dic43⋊C4C2414yes—
836Dic43⋊C4C2414yes—
837Dic43⋊C4C2414yes—
838Dic43⋊C4C2414yes—
839Dic43⋊C4C2414yes—
840Dic43⋊C4C2414yes—
841Dic43⋊C4C2414yes—
842Dic43⋊C4C2414yes—
843Dic43⋊C4C2414yes—
844Dic43⋊C4C2414yes—
845Dic43⋊C4C2414yes—
846Dic43⋊C4C2414yes—
847C4×Dic43C2414yes—
848C4×Dic43C2414yes—
849C4×Dic43C2414yes—
850C4×Dic43C2414yes—
851C4×Dic43C2414yes—
852C4×Dic43C2414yes—
853C4×Dic43C2414yes—
854C4×Dic43C2414yes—
855C4×Dic43C2414yes—
856C4×Dic43C2414yes—
857C23×C43—22no—
858C23×C43—22no—
859C23×C43—22no—
860C23×C43—24no—
861C23×C43—24no—
862C23×C43—24no—
863C23×C43—22no—
864C23×C43—24no—
865C23×C43—24no—
866C23×C43—41no—
867C23×C43—42no—
868C23×C43—41no—
869C23×C43—41no—
870C23×C43—42no—
871C23×C43—41no—
872C23×C43—42no—
873C23×C43—42no—
874C23×C43—416no—
875C23×C432−1+414yescomplemented
876C23×C43C2512yes—
877C23×C43C2514yes—
878C23×C43C2511yescharacteristic
879C23×C43C2512yes—
880C23×C43C2511yescharacteristic
881C23×C43C2511yescharacteristic
882C22×D43—24no—
883C22×D43—42no—
884C22×D43—42no—
885C22×D43C2514yes—
886Q8×C43—42no—
887Q8×C43—42no—
888D4×C43—28no—
889D4×C43—28no—
890D4×C43—28no—
891D4×C43—28no—
892D4×C43—44no—
893D4×C43—42no—
894D4×C43—44no—
895D4×C43—42no—
896C2×C4×C43—24no—
897C2×C4×C43—24no—
898C2×C4×C43—24no—
899C2×C4×C43—41no—
900C2×C4×C43—42no—
901C2×C4×C43—41no—
902C2×C4×C43—42no—
903C2×C4×C43—44no—
904C2×C4×C43—41no—
905C2×C4×C43—42no—
906C2×C4×C43—41no—
907C2×C4×C43—42no—
908C2×C4×C43—44no—
909C2×C4×C43C2514yes—
910C2×C4×C43C2514yes—
911C2×C4×C43C2512yes—
912C2×C4×C43C2512yes—
913C2×C4×C43C2514yes—
914C2×C4×C43C2512yes—
915C2×C4×C43C2512yes—
916C22⋊D43—28no—
917C22⋊D43—28no—
918C22⋊D43—28no—
919C22⋊D43—28no—
920C22⋊D43—28no—
921C22⋊D43—44no—
922C22⋊D43—44no—
923C22⋊D43—44no—
924C22⋊D43—44no—
925C22⋊D43—44no—
926C2×Dic43—24no—
927C2×Dic43—22no—
928C2×Dic43—24no—
929C2×Dic43—24no—
930C2×Dic43—24no—
931C2×Dic43—24no—
932C2×Dic43—24no—
933C2×Dic43—28no—
934C2×Dic43—24no—
935C2×Dic43—24no—
936C2×Dic43—24no—
937C2×Dic43—24no—
938C2×Dic43—42no—
939C2×Dic43—42no—
940C2×Dic43—44no—
941C2×Dic43—42no—
942C2×Dic43—44no—
943C2×Dic43—44no—
944C2×Dic43—42no—
945C2×Dic43—42no—
946C2×Dic43—42no—
947C2×Dic43—42no—
948C2×Dic43—41no—
949C2×Dic43—42no—
950C2×Dic43—41no—
951C2×Dic43—42no—
952C2×Dic43—42no—
953C2×Dic43—42no—
954C2×Dic43H(5,𝔽2)14yes—
955C2×Dic43C2514yes—
956C2×Dic43C2514yes—
957C2×Dic43C2512yes—
958C2×Dic43C2514yes—
959C2×Dic43C2514yes—
960C2×Dic43C2514yes—
961C2×Dic43C2512yes—
962C2×Dic43C2512yes—
963C2×Dic43C2512yes—
964D172—42no—
965D172—42no—
966C4×D43—28no—
967C4×D43—44no—
968C4×D43—44no—
969C4×D43—44no—
970C4×D43—44no—
971C4×D43—44no—
972Dic86—28no—
973Dic86—28no—
974Dic86—28no—
975Dic86—44no—
976Dic86—44no—
977Dic86—42no—
978Dic86—44no—
979Dic86—44no—
980Dic86—42no—
981Dic86—44no—
982#62819—431nomaximal, Sylow
983C22×C43—28no—
984C22×C43—22no—
985C22×C43—21no—
986C22×C43—21no—
987C22×C43—21no—
988C22×C43—21no—
989C22×C43—22no—
990C22×C43—21no—
991C22×C43—21no—
992C22×C43—22no—
993C22×C43—24no—
994C22×C43—22no—
995C22×C43—24no—
996C22×C43—22no—
997C22×C43—24no—
998C22×C43—44no—
999C22×C43—48no—
1000C22×C43—48no—
1001C22×C43—44no—
1002C22×C43—84no—
1003C22×C43C2×H(5,𝔽2)12yes—
1004C22×C43C2×2−1+414yes—
1005C22×C43C2×2−1+412yes—
1006C22×C43#58512yes—
1007C22×C43C2611yescharacteristic
1008C2×D43—24no—
1009C2×D43—24no—
1010C2×D43—24no—
1011C2×D43—84no—
1012C4×C43—22no—
1013C4×C43—22no—
1014C4×C43—24no—
1015C4×C43—24no—
1016C4×C43—24no—
1017C4×C43—22no—
1018C4×C43—22no—
1019Dic43—24no—
1020Dic43—24no—
1021Dic43—22no—
1022Dic43—22no—
1023Dic43—22no—
1024Dic43—24no—
1025Dic43—24no—
1026Dic43—24no—
1027Dic43C2×H(5,𝔽2)14yes—
1028#3541—434no—
1029#3541—434no—
1030#3538—434no—
1031#3536—434no—
1032#3535—434no—
1033#3535—434no—
1034#3520—434no—
1035#3520—434no—
1036#3505—432no—
1037#3505—432no—
1038#3501—432no—
1039#3501—432no—
1040#3495—434no—
1041#3492—432no—
1042#3492—432no—
1043#3492—432no—
1044#3490—432no—
1045#3490—431no—
1046#3490D4311yescharacteristic, complemented
1047#3489—434no—
1048#3486—432no—
1049C2×#525—432no—
1050C22×C22⋊Q8—431no—
1051C2×C43—24no—
1052C2×C43—22no—
1053C2×C43—22no—
1054C2×C43—22no—
1055C2×C43—42no—
1056C2×C43—44no—
1057C2×C43C22×H(5,𝔽2)11yescharacteristic
1058C2×C43C22×2−1+411yescharacteristic
1059C2×C43C2×#58511yescharacteristic
1060D43—44no—
1061C2×2−1+4—432no—
1062C22×#41—432no—
1063C23×Q8—431no—
1064C24×C4—431no—
1065#563—434no—
1066#563—434no—
1067#563—434no—
1068#563—434no—
1069#562—434no—
1070#562—434no—
1071#562—434no—
1072#562—434no—
1073#556—434no—
1074#556—434no—
1075#554—434no—
1076#554—434no—
1077#554—434no—
1078#554—434no—
1079#554—434no—
1080#554—434no—
1081#554—434no—
1082#554—434no—
1083#554—434no—
1084#554—434no—
1085#554—434no—
1086#554—434no—
1087#553—434no—
1088#553—434no—
1089#553—434no—
1090#553—434no—
1091#553—434no—
1092#553—434no—
1093#552—434no—
1094#552—434no—
1095#552—434no—
1096#552—434no—
1097#552—434no—
1098#552—434no—
1099#552—434no—
1100#552—434no—
1101#552—434no—
1102#552—434no—
1103#551—434no—
1104#551—434no—
1105#551—434no—
1106#551—434no—
1107#551—434no—
1108#551—434no—
1109#551—434no—
1110#551—434no—
1111#551—434no—
1112#551—434no—
1113#551C2×D4314yescomplemented
1114#551C2×D4314yescomplemented
1115D4×Q8—434no—
1116D4×Q8—434no—
1117D4×Q8—434no—
1118D4×Q8—434no—
1119D4×Q8—434no—
1120D4×Q8—434no—
1121#548—434no—
1122#548—434no—
1123#548—434no—
1124#548—434no—
1125#548—434no—
1126#548—434no—
1127#547—434no—
1128#547—434no—
1129#547—434no—
1130#547—434no—
1131#547—434no—
1132#547—434no—
1133#547—434no—
1134#547—434no—
1135#546—434no—
1136#546—434no—
1137#546—434no—
1138#546—434no—
1139#546—434no—
1140#546—434no—
1141#546—434no—
1142#546—434no—
1143#546C2×D4314yescomplemented
1144#546C2×D4314yescomplemented
1145#544—432no—
1146#544—432no—
1147#544—434no—
1148#544—432no—
1149#544—434no—
1150#543—434no—
1151#543—432no—
1152#543—431no—
1153#543—434no—
1154#543C2×D4311yescharacteristic
1155#542—434no—
1156#542—434no—
1157#542—434no—
1158#542—434no—
1159#542—434no—
1160#542—434no—
1161#541—434no—
1162#541—434no—
1163#539—434no—
1164#539—434no—
1165#539—434no—
1166#539—434no—
1167#539—434no—
1168#539—434no—
1169#539—432no—
1170#539—432no—
1171#539—432no—
1172#539—432no—
1173#539—434no—
1174#539—434no—
1175#539—434no—
1176#539—434no—
1177#538—434no—
1178#538—434no—
1179#538—434no—
1180#538—434no—
1181#538—432no—
1182#538—432no—
1183#538C2×D4312yescomplemented
1184#538C2×D4312yescomplemented
1185#537—432no—
1186#537—432no—
1187#537—434no—
1188#537—434no—
1189#537—432no—
1190#536—432no—
1191#536—434no—
1192#536—434no—
1193#536—434no—
1194#536—434no—
1195#536—432no—
1196#534—432no—
1197#534—431no—
1198#534C2×D4311yescharacteristic
1199#533—434no—
1200#533—434no—
1201#529—434no—
1202#529—434no—
1203#525—432no—
1204#525—432no—
1205#525—434no—
1206#525—434no—
1207#525—434no—
1208#525—434no—
1209#525—434no—
1210#525—434no—
1211#525—434no—
1212#525—434no—
1213#525—434no—
1214#525—434no—
1215#525—434no—
1216#525—434no—
1217#525C2×D4312yescomplemented
1218#525C2×D4312yescomplemented
1219C2×#123—432no—
1220C2×#123—432no—
1221C2×C22⋊Q8—434no—
1222C2×C22⋊Q8—432no—
1223C2×C22⋊Q8—432no—
1224C2×C22⋊Q8—432no—
1225C2×C22⋊Q8—434no—
1226C2×C22⋊Q8—434no—
1227C2×C22⋊Q8—434no—
1228C2×C22⋊Q8—434no—
1229C2×C22⋊Q8—432no—
1230C2×C22⋊Q8—432no—
1231C2×C22⋊Q8—432no—
1232C2×C22⋊Q8—434no—
1233C2×#121—432no—
1234C2×#121—432no—
1235C2×#120—432no—
1236C2×#120C2×D4312yes—
1237#520—432no—
1238#520—434no—
1239#520—434no—
1240#520—432no—
1241#519—432no—
1242#518—432no—
1243#518—432no—
1244#518—432no—
1245#518C2×D4312yes—
1246C2×C4×D4—432no—
1247C2×C4×D4—432no—
1248C2×C4×D4—432no—
1249C2×C4×D4—432no—
1250C2×#117—432no—
1251C22×C4⋊C4—431no—
1252C22×C4⋊C4—431no—
1253C22×C4⋊C4—431no—
1254C22×C22⋊C4—431no—
1255C22×C22⋊C4C2×D4311yescharacteristic
1256C43#6281911yescharacteristic, complemented, Sylow
1257C25C22×D4311yescharacteristic
12582−1+4—1728no—
1259C2×#41—434no—
1260C2×#41—434no—
1261C2×#41—434no—
1262C2×#41—434no—
1263C2×#41—434no—
1264C2×#41—434no—
1265C2×#41—434no—
1266C2×#41—432no—
1267C2×#41—432no—
1268C2×#41—434no—
1269C2×#41—1728no—
1270C2×#41C22×D4312yes—
1271C2×#41C22×D4312yes—
1272C22×Q8—434no—
1273C22×Q8—432no—
1274C22×Q8—432no—
1275C22×Q8—432no—
1276C22×Q8—434no—
1277C22×Q8—432no—
1278C22×Q8—432no—
1279C22×Q8—434no—
1280C22×Q8—1724no—
1281C22×D4—432no—
1282C22×D4—432no—
1283C22×D4—432no—
1284C22×D4—432no—
1285C22×D4C22×D4312yes—
1286C22×D4C22×D4312yes—
1287C22×D4C22×D4312yes—
1288C23×C4—431no—
1289C23×C4—432no—
1290C23×C4—431no—
1291C23×C4—431no—
1292C23×C4—431no—
1293C23×C4—432no—
1294C23×C4—432no—
1295C23×C4—432no—
1296C23×C4—432no—
1297C23×C4—432no—
1298C23×C4—432no—
1299C23×C4—432no—
1300C23×C4—1724no—
1301C23×C4C22×D4311yescharacteristic
1302C23×C4C22×D4311yescharacteristic
1303C4⋊Q8—434no—
1304C4⋊Q8—434no—
1305C4⋊Q8—434no—
1306C4⋊Q8—434no—
1307C4⋊Q8—434no—
1308C4⋊Q8—434no—
1309C4⋊Q8—434no—
1310C4⋊Q8—434no—
1311C4⋊Q8—434no—
1312C4⋊Q8—434no—
1313C4⋊Q8—434no—
1314C4⋊Q8—434no—
1315#126—434no—
1316#126—434no—
1317#126—434no—
1318#126—434no—
1319#126—434no—
1320#126—434no—
1321#126—434no—
1322#126—434no—
1323#126—434no—
1324#126—434no—
1325#126—434no—
1326#126—434no—
1327#126—434no—
1328#126—434no—
1329#126—434no—
1330#126—434no—
1331#126—434no—
1332#126—434no—
1333#126C22×D4314yes—
1334#126C22×D4314yes—
1335#125—434no—
1336#125—434no—
1337#125—434no—
1338#125—434no—
1339#125—434no—
1340#125—434no—
1341#125—434no—
1342#125—434no—
1343#125—434no—
1344#125—434no—
1345#125—434no—
1346#125—434no—
1347#125—434no—
1348#125—434no—
1349#125—434no—
1350#125—434no—
1351#125—434no—
1352#125—434no—
1353#124—434no—
1354#124—434no—
1355#124—434no—
1356#124—434no—
1357#124—434no—
1358#124—434no—
1359#124—434no—
1360#124—434no—
1361#124—434no—
1362#124—434no—
1363#124—434no—
1364#124—434no—
1365#124C22×D4314yes—
1366#124C22×D4314yes—
1367#123—434no—
1368#123—434no—
1369#123—434no—
1370#123—434no—
1371#123—434no—
1372#123—434no—
1373#123—434no—
1374#123—434no—
1375#123—434no—
1376#123—434no—
1377#123—434no—
1378#123—434no—
1379#123—434no—
1380#123—434no—
1381#123—434no—
1382#123—434no—
1383#123—434no—
1384#123—434no—
1385#123—434no—
1386#123—434no—
1387#123—434no—
1388#123—434no—
1389#123—434no—
1390#123—434no—
1391#123—434no—
1392#123—434no—
1393#123—434no—
1394#123—434no—
1395#123—434no—
1396#123—434no—
1397#123—434no—
1398#123—434no—
1399#123—434no—
1400#123—434no—
1401#123—434no—
1402#123C22×D4314yes—
1403#123C22×D4314yes—
1404#123C22×D4314yes—
1405#123C22×D4314yes—
1406#123C22×D4314yes—
1407C22⋊Q8—434no—
1408C22⋊Q8—434no—
1409C22⋊Q8—434no—
1410C22⋊Q8—434no—
1411C22⋊Q8—432no—
1412C22⋊Q8—432no—
1413C22⋊Q8—432no—
1414C22⋊Q8—432no—
1415C22⋊Q8—434no—
1416C22⋊Q8—434no—
1417C22⋊Q8—434no—
1418C22⋊Q8—434no—
1419C22⋊Q8—434no—
1420C22⋊Q8—434no—
1421C22⋊Q8—434no—
1422C22⋊Q8—434no—
1423C22⋊Q8—434no—
1424C22⋊Q8—434no—
1425C22⋊Q8—434no—
1426C22⋊Q8—434no—
1427C22⋊Q8—434no—
1428C22⋊Q8—434no—
1429C22⋊Q8—434no—
1430C22⋊Q8—434no—
1431C22⋊Q8—434no—
1432C22⋊Q8—434no—
1433C22⋊Q8—434no—
1434C22⋊Q8—434no—
1435C22⋊Q8—434no—
1436C22⋊Q8—434no—
1437C22⋊Q8—434no—
1438C22⋊Q8—434no—
1439C22⋊Q8—434no—
1440C22⋊Q8—434no—
1441C22⋊Q8—434no—
1442C22⋊Q8—434no—
1443C22⋊Q8—434no—
1444C22⋊Q8—434no—
1445C22⋊Q8—434no—
1446C22⋊Q8—434no—
1447C22⋊Q8—434no—
1448C22⋊Q8—434no—
1449C22⋊Q8—434no—
1450C22⋊Q8—434no—
1451C22⋊Q8—434no—
1452C22⋊Q8—434no—
1453C22⋊Q8—434no—
1454C22⋊Q8—434no—
1455C22⋊Q8—434no—
1456C22⋊Q8—434no—
1457C22⋊Q8—434no—
1458C22⋊Q8—434no—
1459C22⋊Q8—434no—
1460C22⋊Q8—434no—
1461C22⋊Q8—434no—
1462C22⋊Q8—434no—
1463C22⋊Q8—434no—
1464C22⋊Q8—434no—
1465C22⋊Q8—434no—
1466C22⋊Q8—434no—
1467C22⋊Q8—434no—
1468C22⋊Q8—434no—
1469C22⋊Q8—434no—
1470C22⋊Q8—434no—
1471C22⋊Q8—434no—
1472C22⋊Q8—434no—
1473C22⋊Q8—434no—
1474C22⋊Q8—434no—
1475C22⋊Q8C22×D4314yes—
1476C22⋊Q8C22×D4312yes—
1477C22⋊Q8C22×D4312yes—
1478C22⋊Q8C22×D4312yes—
1479C22⋊Q8C22×D4312yes—
1480C22⋊Q8C22×D4314yes—
1481#121—434no—
1482#121—434no—
1483#121—434no—
1484#121—434no—
1485#121—434no—
1486#121—434no—
1487#121—434no—
1488#121—434no—
1489#121—434no—
1490#121—434no—
1491#121—434no—
1492#121—434no—
1493#121—434no—
1494#121—434no—
1495#121—434no—
1496#121—434no—
1497#121—434no—
1498#121—434no—
1499#121—434no—
1500#121—432no—
1501#121—432no—
1502#121—432no—
1503#121—432no—
1504#121—434no—
1505#121—434no—
1506#121—434no—
1507#121—434no—
1508#121—434no—
1509#121C22×D4312yes—
1510#121C22×D4312yes—
1511#121C22×D4312yes—
1512#121C22×D4312yes—
1513#121C22×D4314yes—
1514#121C22×D4314yes—
1515#120—434no—
1516#120—434no—
1517#120—434no—
1518#120—434no—
1519#120—434no—
1520#120—434no—
1521#120—434no—
1522#120C22×D4314yes—
1523#120C22×D4314yes—
1524#120C22×D4314yes—
1525#120C22×D4314yes—
1526#120C22×D4314yes—
1527C4×Q8—434no—
1528C4×Q8—434no—
1529C4×Q8—434no—
1530C4×Q8—434no—
1531C4×Q8—434no—
1532C4×Q8—434no—
1533C4×Q8—434no—
1534C4×Q8—434no—
1535C4×Q8—434no—
1536C4×Q8—434no—
1537C4×D4—434no—
1538C4×D4—434no—
1539C4×D4—434no—
1540C4×D4—434no—
1541C4×D4—434no—
1542C4×D4—434no—
1543C4×D4—434no—
1544C4×D4—434no—
1545C4×D4—434no—
1546C4×D4—434no—
1547C4×D4—434no—
1548C4×D4—434no—
1549C4×D4—434no—
1550C4×D4—434no—
1551C4×D4—434no—
1552C4×D4—434no—
1553C4×D4—434no—
1554C4×D4—434no—
1555C4×D4—434no—
1556C4×D4—434no—
1557C4×D4—434no—
1558C4×D4—434no—
1559C4×D4—434no—
1560C4×D4—434no—
1561C4×D4—434no—
1562C4×D4—434no—
1563C4×D4—434no—
1564C4×D4—434no—
1565C4×D4—434no—
1566C4×D4—434no—
1567C4×D4—434no—
1568C4×D4—434no—
1569C4×D4—434no—
1570C4×D4—434no—
1571C4×D4—434no—
1572C4×D4—434no—
1573C4×D4—434no—
1574C4×D4—434no—
1575C4×D4—434no—
1576C4×D4—434no—
1577C4×D4C22×D4314yes—
1578C4×D4C22×D4314yes—
1579C4×D4C22×D4314yes—
1580C4×D4C22×D4314yes—
1581C4×D4C22×D4314yes—
1582C4×D4C22×D4314yes—
1583#117—434no—
1584#117—432no—
1585#117—432no—
1586#117—434no—
1587#117—434no—
1588#117—434no—
1589#117—434no—
1590#117—434no—
1591#117—434no—
1592#117—434no—
1593#117—434no—
1594#117—434no—
1595#117—434no—
1596#117—434no—
1597#117—434no—
1598#117—434no—
1599#117—434no—
1600#117C22×D4314yes—
1601#117C22×D4312yes—
1602#117C22×D4312yes—
1603C2×C4⋊C4—432no—
1604C2×C4⋊C4—432no—
1605C2×C4⋊C4—432no—
1606C2×C4⋊C4—432no—
1607C2×C4⋊C4—432no—
1608C2×C4⋊C4—432no—
1609C2×C4⋊C4—434no—
1610C2×C4⋊C4—434no—
1611C2×C4⋊C4—434no—
1612C2×C4⋊C4—432no—
1613C2×C4⋊C4—432no—
1614C2×C4⋊C4—432no—
1615C2×C4⋊C4—432no—
1616C2×C4⋊C4—432no—
1617C2×C4⋊C4—432no—
1618C2×C4⋊C4—432no—
1619C2×C4⋊C4—432no—
1620C2×C4⋊C4—432no—
1621C2×C4⋊C4—432no—
1622C2×C4⋊C4—432no—
1623C2×C4⋊C4—432no—
1624C2×C4⋊C4—434no—
1625C2×C4⋊C4—434no—
1626C2×C4⋊C4—434no—
1627C2×C4⋊C4—434no—
1628C2×C4⋊C4—434no—
1629C2×C4⋊C4—434no—
1630C2×C22⋊C4—432no—
1631C2×C22⋊C4—432no—
1632C2×C22⋊C4—434no—
1633C2×C22⋊C4—434no—
1634C2×C22⋊C4—432no—
1635C2×C22⋊C4—432no—
1636C2×C22⋊C4—432no—
1637C2×C22⋊C4—432no—
1638C2×C22⋊C4—432no—
1639C2×C22⋊C4—434no—
1640C2×C22⋊C4—432no—
1641C2×C22⋊C4—432no—
1642C2×C22⋊C4—434no—
1643C2×C22⋊C4—434no—
1644C2×C22⋊C4C22×D4311yescharacteristic
1645C2×C22⋊C4C22×D4311yescharacteristic
1646C2×C22⋊C4C22×D4311yescharacteristic
1647C2×C22⋊C4C22×D4311yescharacteristic
1648C2×C22⋊C4C22×D4314yes—
1649C2×C22⋊C4C22×D4314yes—
1650C2×C22⋊C4C22×D4312yes—
1651C2×C22⋊C4C22×D4312yes—
1652C2×C22⋊C4C22×D4312yes—
1653C2×C22⋊C4C22×D4314yes—
1654C2×C42—432no—
1655C2×C42—432no—
1656C24—24no—
1657C24—42no—
1658C24—42no—
1659C24—432no—
1660C24C23×D4311yescharacteristic
1661C24C23×D4312yes—
1662C24C23×D4312yes—
1663C24C23×D4312yes—
1664C24C23×D4311yescharacteristic
1665C24C23×D4311yescharacteristic
1666#41—44no—
1667#41—44no—
1668#41—8616no—
1669#41—1724no—
1670#41—1724no—
1671#41—1728no—
1672#41—1728no—
1673#41—1728no—
1674#41—1728no—
1675#41—1728no—
1676#41—1728no—
1677#41—1728no—
1678C2×Q8—434no—
1679C2×Q8—434no—
1680C2×Q8—434no—
1681C2×Q8—432no—
1682C2×Q8—434no—
1683C2×Q8—434no—
1684C2×Q8—434no—
1685C2×Q8—434no—
1686C2×Q8—434no—
1687C2×Q8—432no—
1688C2×Q8—868no—
1689C2×Q8—1724no—
1690C2×Q8—1724no—
1691C2×Q8—1728no—
1692C2×Q8—1724no—
1693C2×Q8—1724no—
1694C2×Q8—1728no—
1695C2×Q8—1728no—
1696C2×Q8C23×D4312yes—
1697C2×Q8C23×D4312yes—
1698C2×D4—28no—
1699C2×D4—44no—
1700C2×D4—44no—
1701C2×D4—434no—
1702C2×D4—434no—
1703C2×D4—434no—
1704C2×D4—434no—
1705C2×D4—434no—
1706C2×D4—434no—
1707C2×D4—434no—
1708C2×D4—434no—
1709C2×D4—434no—
1710C2×D4—434no—
1711C2×D4—432no—
1712C2×D4—432no—
1713C2×D4—868no—
1714C2×D4—1724no—
1715C2×D4—1724no—
1716C2×D4—1724no—
1717C2×D4C23×D4314yes—
1718C2×D4C23×D4314yes—
1719C2×D4C23×D4314yes—
1720C2×D4C23×D4314yes—
1721C2×D4C23×D4312yes—
1722C2×D4C23×D4314yes—
1723C2×D4C23×D4312yes—
1724C2×D4C23×D4314yes—
1725C22×C4—42no—
1726C22×C4—42no—
1727C22×C4—431no—
1728C22×C4—432no—
1729C22×C4—432no—
1730C22×C4—432no—
1731C22×C4—432no—
1732C22×C4—432no—
1733C22×C4—432no—
1734C22×C4—432no—
1735C22×C4—432no—
1736C22×C4—431no—
1737C22×C4—434no—
1738C22×C4—432no—
1739C22×C4—432no—
1740C22×C4—432no—
1741C22×C4—432no—
1742C22×C4—432no—
1743C22×C4—432no—
1744C22×C4—432no—
1745C22×C4—432no—
1746C22×C4—432no—
1747C22×C4—432no—
1748C22×C4—434no—
1749C22×C4—434no—
1750C22×C4—431no—
1751C22×C4—432no—
1752C22×C4—431no—
1753C22×C4—434no—
1754C22×C4—432no—
1755C22×C4—432no—
1756C22×C4—434no—
1757C22×C4—434no—
1758C22×C4—434no—
1759C22×C4—434no—
1760C22×C4—434no—
1761C22×C4—434no—
1762C22×C4—864no—
1763C22×C4—868no—
1764C22×C4—1724no—
1765C22×C4—1724no—
1766C22×C4—1724no—
1767C22×C4—1724no—
1768C22×C4—1724no—
1769C22×C4—1724no—
1770C22×C4—1724no—
1771C22×C4—1722no—
1772C22×C4—1722no—
1773C22×C4—1722no—
1774C22×C4C23×D4312yes—
1775C22×C4C23×D4312yes—
1776C22×C4C23×D4312yes—
1777C22×C4C23×D4312yes—
1778C22×C4C23×D4311yescharacteristic
1779C22×C4C23×D4312yes—
1780C22×C4C23×D4311yescharacteristic
1781C22×C4C23×D4311yescharacteristic
1782C22×C4C23×D4312yes—
1783C22×C4C23×D4312yes—
1784C22×C4C23×D4311yescharacteristic
1785C22×C4C23×D4314yes—
1786C22×C4C23×D4314yes—
1787C4⋊C4—434no—
1788C4⋊C4—434no—
1789C4⋊C4—434no—
1790C4⋊C4—434no—
1791C4⋊C4—434no—
1792C4⋊C4—434no—
1793C4⋊C4—434no—
1794C4⋊C4—434no—
1795C4⋊C4—434no—
1796C4⋊C4—434no—
1797C4⋊C4—434no—
1798C4⋊C4—434no—
1799C4⋊C4—434no—
1800C4⋊C4—434no—
1801C4⋊C4—434no—
1802C4⋊C4—434no—
1803C4⋊C4—432no—
1804C4⋊C4—434no—
1805C4⋊C4—434no—
1806C4⋊C4—434no—
1807C4⋊C4—434no—
1808C4⋊C4—434no—
1809C4⋊C4—434no—
1810C4⋊C4—434no—
1811C4⋊C4—434no—
1812C4⋊C4—434no—
1813C4⋊C4—434no—
1814C4⋊C4—434no—
1815C4⋊C4—434no—
1816C4⋊C4—434no—
1817C4⋊C4—434no—
1818C4⋊C4—434no—
1819C4⋊C4—434no—
1820C4⋊C4—432no—
1821C4⋊C4—434no—
1822C4⋊C4—434no—
1823C4⋊C4—434no—
1824C4⋊C4—434no—
1825C4⋊C4—434no—
1826C4⋊C4—434no—
1827C4⋊C4—434no—
1828C4⋊C4—432no—
1829C4⋊C4—434no—
1830C4⋊C4—432no—
1831C4⋊C4C23×D4312yes—
1832C4⋊C4C23×D4314yes—
1833C4⋊C4C23×D4314yes—
1834C4⋊C4C23×D4312yes—
1835C4⋊C4C23×D4314yes—
1836C4⋊C4C23×D4314yes—
1837C4⋊C4C23×D4312yes—
1838C4⋊C4C23×D4312yes—
1839C22⋊C4—434no—
1840C22⋊C4—434no—
1841C22⋊C4—434no—
1842C22⋊C4—434no—
1843C22⋊C4—434no—
1844C22⋊C4—434no—
1845C22⋊C4—434no—
1846C22⋊C4—434no—
1847C22⋊C4—434no—
1848C22⋊C4—434no—
1849C22⋊C4—434no—
1850C22⋊C4—434no—
1851C22⋊C4—434no—
1852C22⋊C4—434no—
1853C22⋊C4—434no—
1854C22⋊C4—434no—
1855C22⋊C4—434no—
1856C22⋊C4—434no—
1857C22⋊C4—434no—
1858C22⋊C4—434no—
1859C22⋊C4—434no—
1860C22⋊C4—434no—
1861C22⋊C4—434no—
1862C22⋊C4—434no—
1863C22⋊C4—434no—
1864C22⋊C4—434no—
1865C22⋊C4—434no—
1866C22⋊C4—434no—
1867C22⋊C4—434no—
1868C22⋊C4—434no—
1869C22⋊C4C23×D4314yes—
1870C22⋊C4C23×D4314yes—
1871C22⋊C4C23×D4314yes—
1872C22⋊C4C23×D4314yes—
1873C22⋊C4C23×D4314yes—
1874C22⋊C4C23×D4314yes—
1875C22⋊C4C23×D4314yes—
1876C22⋊C4C23×D4314yes—
1877C22⋊C4C23×D4314yes—
1878C22⋊C4C23×D4314yes—
1879C22⋊C4C23×D4314yes—
1880C22⋊C4C23×D4314yes—
1881C22⋊C4C23×D4314yes—
1882C22⋊C4C23×D4314yes—
1883C42—434no—
1884C42—434no—
1885C42—434no—
1886C42—434no—
1887C42—434no—
1888C42—434no—
1889C42—434no—
1890C42—434no—
1891C42—434no—
1892C42—434no—
1893C42C23×D4314yes—
1894C42C23×D4314yes—
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—434no—
1914C23—864no—
1915C23—1722no—
1916C23—1722no—
1917C23#1306337214yescomplemented
1918C23C24×D4312yes—
1919C23C24×D4314yes—
1920C23C24×D4311yescharacteristic
1921C23C24×D4312yes—
1922C23C24×D4311yescharacteristic
1923C23C24×D4311yescharacteristic
1924Q8—42no—
1925Q8—42no—
1926Q8—868no—
1927Q8—868no—
1928Q8—868no—
1929Q8—1724no—
1930Q8—1724no—
1931Q8—1722no—
1932Q8—1724no—
1933Q8—1724no—
1934Q8—1722no—
1935Q8—1724no—
1936D4—28no—
1937D4—28no—
1938D4—28no—
1939D4—28no—
1940D4—44no—
1941D4—44no—
1942D4—42no—
1943D4—42no—
1944D4—868no—
1945D4—868no—
1946D4—868no—
1947D4—868no—
1948D4—868no—
1949D4—1722no—
1950D4—1722no—
1951D4—1724no—
1952D4—1724no—
1953D4—1724no—
1954D4—1724no—
1955D4—1724no—
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—434no—
1970C2×C4—432no—
1971C2×C4—434no—
1972C2×C4—434no—
1973C2×C4—432no—
1974C2×C4—434no—
1975C2×C4—434no—
1976C2×C4—434no—
1977C2×C4—432no—
1978C2×C4—432no—
1979C2×C4—868no—
1980C2×C4—864no—
1981C2×C4—864no—
1982C2×C4—864no—
1983C2×C4—864no—
1984C2×C4—864no—
1985C2×C4—864no—
1986C2×C4—868no—
1987C2×C4—862no—
1988C2×C4—864no—
1989C2×C4—864no—
1990C2×C4—864no—
1991C2×C4—864no—
1992C2×C4—1724no—
1993C2×C4—1724no—
1994C2×C4—1724no—
1995C2×C4—1724no—
1996C2×C4—1724no—
1997C2×C4—1721no—
1998C2×C4—1722no—
1999C2×C4—1722no—
2000C2×C4—1722no—
2001C2×C4—1721no—
2002C2×C4—1722no—
2003C2×C4—1722no—
2004C2×C4—1722no—
2005C2×C4—1722no—
2006C2×C4—1722no—
2007C2×C4—1724no—
2008C2×C4—1722no—
2009C2×C4—1722no—
2010C2×C4—1722no—
2011C2×C4—1724no—
2012C2×C4—1724no—
2013C2×C4C24×D4314yes—
2014C2×C4C24×D4314yes—
2015C2×C4C24×D4312yes—
2016C2×C4C24×D4312yes—
2017C2×C4C24×D4314yes—
2018C2×C4C24×D4312yes—
2019C2×C4C24×D4312yes—
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—864no—
2041C22—864no—
2042C22—864no—
2043C22—3444no—
2044C22H(5,𝔽2)×D4312yes—
2045C22C2×#1306337214yes—
2046C22C2×#1306337212yes—
2047C22#1458373412yes—
2048C22C25×D4311yescharacteristic
2049C4—22no—
2050C4—22no—
2051C4—24no—
2052C4—24no—
2053C4—22no—
2054C4—22no—
2055C4—24no—
2056C4—434no—
2057C4—862no—
2058C4—862no—
2059C4—862no—
2060C4—864no—
2061C4—864no—
2062C4—864no—
2063C4—864no—
2064C4—864no—
2065C2—22no—
2066C2—22no—
2067C2—22no—
2068C2—24no—
2069C2—42no—
2070C2—44no—
2071C2—1724no—
2072C2C2×H(5,𝔽2)×D4311yescharacteristic
2073C2C22×#1306337211yescharacteristic
2074C2C2×#1458373411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3490C2
hypercenter#3490D43
hypocenterC43#62819
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3490

Complements

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

NH ≅ G/Ntype
1. #19148883C2semidirect
2. #19148875C2semidirect
3. #19148835C2semidirect
4. #19148810C2semidirect
5. #19148800C2semidirect
6. #19148792C2semidirect
7. #19148633C2semidirect
8. #19148631C2semidirect
9. #19148432C2semidirect
10. #19148425C2semidirect
11. #19148395C2semidirect
12. #19148393C2semidirect
13. #19148334C2semidirect
14. #19148301C2semidirect
15. #19148296C2semidirect
16. #19148296C2semidirect
17. #19148284C2semidirect
18. #19148282C2semidirect
19. #19148266C2semidirect
20. #19148242C2semidirect
21. C2×#14583405C2semidirect
22. C22×#13063302C2semidirect
23. C43×#3490C2semidirect
24. C2×#13063372C22semidirect
25. C22×#10621900C22semidirect
26. C23×Dic86C22semidirect
28. #14583652C22semidirect
29. #14583651C22semidirect
30. #14583651C22semidirect
31. #14583649C22semidirect
32. #14583646C22semidirect
33. #14583644C22semidirect
34. #14583644C22semidirect
35. #14583643C22semidirect
36. #14583618C22semidirect
37. #14583616C22semidirect
38. #14583608C22semidirect
39. #14583608C22semidirect
40. #14583608C22semidirect
41. #14583608C22semidirect
42. #14583607C22semidirect
43. #14583607C22semidirect
44. #14583606C22semidirect
45. #14583606C22semidirect
46. #14583603C22semidirect
47. #14583603C22semidirect
48. #14583603C22semidirect
49. #14583603C22semidirect
50. #14583601C22semidirect
51. #14583598C22semidirect
52. #14583598C22semidirect
53. #14583595C22semidirect
54. #14583592C22semidirect
55. #14583592C22semidirect
56. #14583591C22semidirect
57. #14583589C22semidirect
58. #14583586C22semidirect
59. #14583586C22semidirect
60. #14583586C22semidirect
61. #14583586C22semidirect
62. #14583585C22semidirect
63. #14583582C22semidirect
64. #14583582C22semidirect
65. #14583582C22semidirect
66. #14583580C22semidirect
67. #14583580C22semidirect
68. #14583580C22semidirect
69. #14583575C22semidirect
70. #14583575C22semidirect
71. #14583575C22semidirect
72. #14583575C22semidirect
73. #14583575C22semidirect
74. #14583573C22semidirect
75. #14583572C22semidirect
76. D4×Dic86C22semidirect
77. D4×Dic86C22semidirect
78. D4×Dic86C22semidirect
79. #14583562C22semidirect
80. #14583562C22semidirect
81. #14583562C22semidirect
82. #14583558C22semidirect
83. #14583558C22semidirect
84. #14583557C22semidirect
85. #14583555C22semidirect
86. #14583555C22semidirect
87. #14583555C22semidirect
88. #14583553C22semidirect
89. #14583549C22semidirect
90. #14583549C22semidirect
91. #14583548C22semidirect
92. #14583548C22semidirect
93. #14583547C22semidirect
94. #14583547C22semidirect
95. #14583547C22semidirect
96. #14583543C22semidirect
97. #14583543C22semidirect
98. #14583539C22semidirect
99. #14583539C22semidirect
100. #14583539C22semidirect
101. #14583536C22semidirect
102. #14583536C22semidirect
103. #14583536C22semidirect
104. #14583528C22semidirect
105. #14583528C22semidirect
106. #14583528C22semidirect
107. #14583527C22semidirect
108. #14583527C22semidirect
111. #14583525C22semidirect
112. #14583524C22semidirect
113. #14583518C22semidirect
114. #14583517C22semidirect
115. #14583516C22semidirect
116. #14583515C22semidirect
117. #14583513C22semidirect
118. #14583513C22semidirect
119. #14583506C22semidirect
120. #14583506C22semidirect
121. #14583498C22semidirect
122. #14583498C22semidirect
123. #14583494C22semidirect
124. #14583494C22semidirect
125. #14583494C22semidirect
126. #14583493C22semidirect
127. #14583493C22semidirect
128. #14583493C22semidirect
129. #14583493C22semidirect
130. #14583492C22semidirect
131. #14583491C22semidirect
132. #14583491C22semidirect
133. #14583491C22semidirect
134. #14583490C22semidirect
135. #14583487C22semidirect
136. #14583487C22semidirect
137. #14583484C22semidirect
138. #14583484C22semidirect
139. #14583484C22semidirect
140. #14583482C22semidirect
141. #14583478C22semidirect
142. #14583477C22semidirect
143. #14583476C22semidirect
144. #14583476C22semidirect
145. #14583476C22semidirect
146. #14583475C22semidirect
147. #14583471C22semidirect
148. #14583471C22semidirect
149. #14583471C22semidirect
150. #14583470C22semidirect
151. #14583469C22semidirect
154. #14583452C22semidirect
155. #14583451C22semidirect
156. #14583429C22semidirect
157. #14583426C22semidirect
158. #14583410C22semidirect
159. #14583410C22semidirect
160. #14583408C22semidirect
165. #14583405C22semidirect
166. #14583405C22semidirect
167. #14583405C22semidirect
168. #14583405C22semidirect
169. #14583405C22semidirect
170. #14583405C22semidirect
171. #14583405C22semidirect
172. C2×#13063309C22semidirect
173. C2×#13063306C22semidirect
177. C2×#13063302C22semidirect
178. C2×#13063302C22semidirect
179. C2×#13063302C22semidirect
180. C2×#13063302C22semidirect
181. C2×#13063302C22semidirect
182. C2×#13063302C22semidirect
183. C2×#13063302C22semidirect
184. C2×#13063302C22semidirect
185. C22⋊Q8×D43C22semidirect
187. C2×#13063297C22semidirect
189. #14583382C22semidirect
190. #14583379C22semidirect
191. #14583378C22semidirect
192. #14583378C22semidirect
193. #14583376C22semidirect
198. C2×D4×Dic43C22semidirect
200. C2×(C22⋊D43)⋊C4C22semidirect
201. C2×#13063281C22semidirect
202. C22×C4⋊Dic43C22semidirect
203. C22×Dic43⋊C4C22semidirect
204. C22×Dic43⋊C4C22semidirect
206. C43×#551C22semidirect
207. C43×#551C22semidirect
208. C43×#546C22semidirect
209. C43×#546C22semidirect
211. C43×#538C22semidirect
212. C43×#538C22semidirect
214. C43×#525C22semidirect
215. C43×#525C22semidirect
222. C2×#10621898C23semidirect
230. C2×#10621900C23semidirect
238. C22×Dic86C23semidirect
239. C2×Q8×D43C23semidirect
257. #13063325C23semidirect
258. #13063325C23semidirect
259. #13063324C23semidirect
260. #13063324C23semidirect
261. #13063324C23semidirect
262. #13063324C23semidirect
263. #13063324C23semidirect
264. #13063324C23semidirect
265. #13063324C23semidirect
266. #13063323C23semidirect
267. #13063323C23semidirect
268. #13063323C23semidirect
269. #13063320C23semidirect
270. #13063320C23semidirect
271. #13063320C23semidirect
272. #13063320C23semidirect
273. #13063319C23semidirect
274. #13063319C23semidirect
281. #13063318C23semidirect
282. #13063318C23semidirect
283. #13063318C23semidirect
284. #13063318C23semidirect
285. #13063318C23semidirect
286. #13063318C23semidirect
287. #13063317C23semidirect
288. #13063317C23semidirect
289. #13063317C23semidirect
290. #13063316C23semidirect
291. #13063316C23semidirect
292. #13063316C23semidirect
293. #13063316C23semidirect
294. #13063316C23semidirect
295. #13063315C23semidirect
296. #13063315C23semidirect
297. #13063315C23semidirect
298. #13063315C23semidirect
299. #13063315C23semidirect
300. #13063315C23semidirect
301. #13063315C23semidirect
302. #13063315C23semidirect
303. #13063315C23semidirect
304. #13063315C23semidirect
305. #13063313C23semidirect
308. #13063312C23semidirect
313. #13063311C23semidirect
314. #13063311C23semidirect
315. #13063311C23semidirect
316. #13063311C23semidirect
317. #13063310C23semidirect
318. #13063310C23semidirect
326. #13063309C23semidirect
327. #13063309C23semidirect
331. #13063308C23semidirect
332. #13063308C23semidirect
337. #13063307C23semidirect
338. #13063307C23semidirect
339. #13063307C23semidirect
340. #13063307C23semidirect
350. #13063306C23semidirect
351. #13063306C23semidirect
352. #13063305C23semidirect
353. #13063305C23semidirect
354. #13063305C23semidirect
355. #13063305C23semidirect
362. #13063304C23semidirect
363. #13063304C23semidirect
364. #13063304C23semidirect
365. #13063304C23semidirect
366. #13063304C23semidirect
367. #13063303C23semidirect
368. #13063303C23semidirect
369. #13063303C23semidirect
370. #13063303C23semidirect
371. #13063303C23semidirect
372. #13063303C23semidirect
373. #13063303C23semidirect
374. #13063303C23semidirect
407. #13063302C23semidirect
408. #13063302C23semidirect
409. #13063302C23semidirect
410. #13063302C23semidirect
411. #13063302C23semidirect
412. #13063302C23semidirect
413. #13063302C23semidirect
414. #13063302C23semidirect
415. #13063302C23semidirect
416. #13063302C23semidirect
417. #13063301C23semidirect
418. #13063301C23semidirect
419. #13063301C23semidirect
424. #13063299C23semidirect
427. #13063298C23semidirect
428. #13063298C23semidirect
443. #13063297C23semidirect
444. #13063297C23semidirect
447. #13063296C23semidirect
455. Q8×Dic43C23semidirect
456. C4×Dic86C23semidirect
457. C4×Dic86C23semidirect
458. C4×Dic86C23semidirect
459. C4×Dic86C23semidirect
460. C4×Dic86C23semidirect
461. #13063290C23semidirect
462. #13063290C23semidirect
463. #13063290C23semidirect
464. #13063290C23semidirect
465. C4×D172C23semidirect
480. D4×Dic43C23semidirect
487. C4×C22⋊D43C23semidirect
488. C4×C22⋊D43C23semidirect
503. (C22⋊D43)⋊C4C23semidirect
504. (C22⋊D43)⋊C4C23semidirect
508. #13063284C23semidirect
509. #13063283C23semidirect
510. #13063282C23semidirect
511. #13063282C23semidirect
520. #13063281C23semidirect
521. #13063281C23semidirect
529. C2×C4⋊Dic43C23semidirect
544. C2×Dic43⋊C4C23semidirect
545. C2×Dic43⋊C4C23semidirect
546. C4⋊C4×D43C23semidirect
547. C4⋊C4×D43C23semidirect
548. C4⋊C4×D43C23semidirect
875. C23×C432−1+4semidirect
1046. #3490D43semidirect
1113. #551C2×D43semidirect
1114. #551C2×D43semidirect
1143. #546C2×D43semidirect
1144. #546C2×D43semidirect
1183. #538C2×D43semidirect
1184. #538C2×D43semidirect
1217. #525C2×D43semidirect
1218. #525C2×D43semidirect
1256. C43#62819semidirect
1917. C23#13063372semidirect

Maximal subgroups

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

subgroupindex
#191488832
#191488752
#191488352
#191488102
#191488002
#191487922
#191486332
#191486312
#191484322
#191484252
#191483952
#191483932
#191483342
#191483012
#191482962
#191482842
#191482822
#191482662
#191482422
C2×#145834052
C22×#130633022
C43×#34902
#6281943