Finite Group Databasebeta

← #26005227

Subgroups — #26005227

Order 11008.

8042 conjugacy classes of subgroups.

The subgroup lattice has 1892 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148911C214yesmaximal, complemented
2#19148903C214yesmaximal, complemented
3#19148834C212yesmaximal, complemented
4#19148830C212yesmaximal, complemented
5#19148824C212yesmaximal, complemented
6#19148822C212yesmaximal, complemented
7#19148789C214yesmaximal, complemented
8#19148779C214yesmaximal, complemented
9#19148627C214yesmaximal, complemented
10#19148615C214yesmaximal, complemented
11#19148436C212yesmaximal, complemented
12#19148434C212yesmaximal, complemented
13#19148359C212yesmaximal, complemented
14#19148352C212yesmaximal, complemented
15#19148332C212yesmaximal, complemented
16#19148330C212yesmaximal, complemented
17#19148301C212yesmaximal, complemented
18#19148278C214yesmaximal, complemented
19#19148264C212yesmaximal, complemented
20#19148256C212yesmaximal, complemented
21#19148228C212yesmaximal, complemented
22#19148224C214yesmaximal, complemented
23C2×#14583410C211yesmaximal, characteristic, complemented
24C22×#13063299C211yesmaximal, characteristic, complemented
25C2×C43×#525C211yesmaximal, characteristic, complemented
26C2×#13063371C2212yescomplemented
27C2×#13063370C2214yescomplemented
28C22×#10621898C2211yescharacteristic, complemented
29C23×D172C2211yescharacteristic, complemented
30C23×C22⋊D43C2212yescomplemented
31#14583646C2218yescomplemented
32#14583645C2218yescomplemented
33#14583639C2218yescomplemented
34#14583637C2218yescomplemented
35#14583614C2214yescomplemented
36#14583612C2214yescomplemented
37#14583607C2214yescomplemented
38#14583606C2214yescomplemented
39#14583601C2214yescomplemented
40#14583598C2218yescomplemented
41#14583597C2214yescomplemented
42#14583597C2218yescomplemented
43#14583595C2214yescomplemented
44#14583595C2214yescomplemented
45#14583595C2214yescomplemented
46#14583593C2214yescomplemented
47#14583591C2214yescomplemented
48#14583589C2214yescomplemented
49#14583578C2218yescomplemented
50#14583576C2218yescomplemented
51#14583573C2218yescomplemented
52#14583572C2218yescomplemented
53#14583570C2214yescomplemented
54#14583568C2214yescomplemented
55#14583560C2214yescomplemented
56#14583558C2214yescomplemented
57#14583553C2214yescomplemented
58#14583553C2214yescomplemented
59#14583550C2214yescomplemented
60#14583549C2214yescomplemented
61#14583545C2214yescomplemented
62#14583545C2214yescomplemented
63#14583545C2214yescomplemented
64#14583544C2218yescomplemented
65#14583544C2218yescomplemented
66#14583541C2218yescomplemented
67#14583540C2214yescomplemented
68#14583540C2214yescomplemented
69#14583539C2218yescomplemented
70#14583539C2218yescomplemented
71#14583539C2218yescomplemented
72#14583538C2218yescomplemented
73#14583537C2218yescomplemented
74#14583537C2214yescomplemented
75#14583536C2218yescomplemented
76#14583536C2218yescomplemented
77D4×D172C2214yescomplemented
78D4×D172C2214yescomplemented
79D4×D172C2214yescomplemented
80#14583533C2214yescomplemented
81#14583533C2214yescomplemented
82D4×C22⋊D43C2218yescomplemented
83D4×C22⋊D43C2218yescomplemented
84D4×C22⋊D43C2214yescomplemented
85#14583531C2218yescomplemented
86#14583531C2218yescomplemented
87#14583527C2212yescomplemented
88#14583524C2214yescomplemented
89#14583522C2214yescomplemented
90#14583520C2214yescomplemented
91#14583504C2214yescomplemented
92#14583502C2214yescomplemented
93#14583501C2218yescomplemented
94#14583500C2218yescomplemented
95#14583498C2214yescomplemented
96#14583496C2214yescomplemented
97#14583493C2218yescomplemented
98#14583489C2214yescomplemented
99#14583489C2214yescomplemented
100#14583487C2214yescomplemented
101#14583486C2214yescomplemented
102#14583485C2218yescomplemented
103#14583482C2218yescomplemented
104#14583482C2218yescomplemented
105#14583480C2214yescomplemented
106#14583479C2214yescomplemented
107#14583477C2212yescomplemented
108#14583477C2214yescomplemented
109#14583476C2214yescomplemented
110#14583468C2212yescomplemented
111#14583465C2214yescomplemented
112#14583464C2218yescomplemented
113#14583463C2212yescomplemented
114#14583463C2214yescomplemented
115#14583461C2214yescomplemented
116#14583461C2214yescomplemented
117#14583460C2218yescomplemented
118#14583459C2218yescomplemented
119#14583458C2214yescomplemented
120#14583457C2214yescomplemented
121#14583457C2214yescomplemented
122#14583449C2214yescomplemented
123#14583444C2214yescomplemented
124#14583435C2214yescomplemented
125#14583433C2214yescomplemented
126#14583412C2214yescomplemented
127#14583410C2212yescomplemented
128#14583410C2212yescomplemented
129#14583410C2212yescomplemented
130#14583410C2212yescomplemented
131#14583410C2212yescomplemented
132#14583410C2212yescomplemented
133#14583410C2212yescomplemented
134#14583410C2212yescomplemented
135#14583410C2214yescomplemented
136#14583405C2218yescomplemented
137C2×#13063308C2212yescomplemented
138C2×#13063304C2211yescharacteristic, complemented
139C2×#13063304C2211yescharacteristic, complemented
140C2×#13063299C2212yescomplemented
141C2×#13063299C2212yescomplemented
142C2×#13063299C2212yescomplemented
143C2×#13063299C2212yescomplemented
144C2×#13063299C2212yescomplemented
145C2×#13063299C2212yescomplemented
146C2×#13063299C2212yescomplemented
147C2×#13063299C2212yescomplemented
148C2×#13063299C2212yescomplemented
149C2×#13063299C2212yescomplemented
150C2×#13063299C2212yescomplemented
151C2×#13063299C2212yescomplemented
152C2×#13063299C2211yescharacteristic, complemented
153C2×#13063299C2211yescharacteristic, complemented
154C2×#13063299C2214yescomplemented
155#121×D43C2214yescomplemented
156C2×#13063294C2212yescomplemented
157#120×D43C2218yescomplemented
158#14583382C2212yescomplemented
159#14583379C2212yescomplemented
160#14583373C2212yescomplemented
161#14583372C2214yescomplemented
162#14583371C2218yescomplemented
163C2×C4×C22⋊D43C2212yescomplemented
164C2×C4×C22⋊D43C2212yescomplemented
165C2×#13063284C2211yescharacteristic, complemented
166C22×C4⋊Dic43C2211yescharacteristic, complemented
167C22×(C2×D43)⋊C4C2212yescomplemented
168C22×#41×C43C2211yescharacteristic, complemented
169C24×C4×C43C2211yescharacteristic, complemented
170C43×#525C2212yescomplemented
171C43×#525C2212yescomplemented
172C43×#525C2212yescomplemented
173C43×#525C2212yescomplemented
174C43×#525C2212yescomplemented
175C43×#525C2212yescomplemented
176C43×#525C2212yescomplemented
177C43×#525C2212yescomplemented
178C2×#123×C43C2212yescomplemented
179C2×C22⋊Q8×C43C2211yescharacteristic, complemented
180C2×C22⋊Q8×C43C2211yescharacteristic, complemented
181C2×#121×C43C2211yescharacteristic, complemented
182C2×#121×C43C2211yescharacteristic, complemented
183C2×#120×C43C2212yescomplemented
184C2×C4×D4×C43C2212yescomplemented
185C2×C4×D4×C43C2212yescomplemented
186C2×#117×C43C2211yescharacteristic, complemented
187C24×D43C2312yes—
188#13063371—48no—
189#13063370—416no—
190C2×#10621902C2314yescomplemented
191C2×#10621898—44no—
192C2×#10621898C2312yes—
193C2×#10621898C2312yes—
194C2×#10621898C2314yescomplemented
195C2×#10621898C2312yescomplemented
196C2×#10621898C2312yescomplemented
197C2×#10621898C2318yescomplemented
198C2×#10621900C2318yes—
199C2×#10621900C2318yescomplemented
200C22×Dic86C2311yescharacteristic, complemented
201C22×D172—44no—
202C22×D172C2312yes—
203C22×D172C2312yes—
204C22×D172C2312yes—
205C22×D172C2312yes—
206C22×D172C2312yes—
207C22×D172C2312yes—
208C22×D172C2311yescharacteristic, complemented
209C22×D172C2314yescomplemented
210C22×C22⋊D43—48no—
211C22×C22⋊D43C2312yes—
212C22×C22⋊D43C2314yes—
213C22×C22⋊D43C2312yes—
214C22×C22⋊D43C2312yes—
215C22×C22⋊D43C2314yes—
216C22×C22⋊D43C2314yes—
217C22×C22⋊D43C2314yes—
218C22×C22⋊D43C2314yes—
219C22×C22⋊D43C2314yes—
220C22×C22⋊D43C2318yescomplemented
221C2×D4×D43C2318yes—
222C2×D4×D43C2318yes—
223C2×D4×D43C2318yes—
224C2×D4×D43C2318yescomplemented
225C2×D4×D43C2314yescomplemented
226C23×Dic43C2312yes—
227C22×C4×D43C2312yescomplemented
228#13063325C2314yescomplemented
229#13063324C2314yescomplemented
230#13063322C2314yescomplemented
231#13063321C2318yescomplemented
232#13063321C2314yescomplemented
233#13063321C2318yescomplemented
234#13063320C2318yescomplemented
235#13063320C2318yescomplemented
236#13063320C2318yescomplemented
237#13063320C2318yescomplemented
238#13063319C2318yescomplemented
239#13063318C2318yescomplemented
240#13063317C2314yescomplemented
241#13063316C2314yescomplemented
242#13063316C2318yescomplemented
243#13063315C2318yescomplemented
244#13063314C2318yescomplemented
245#13063314C2314yescomplemented
246#13063313C2314yescomplemented
247#13063313C2318yescomplemented
248#13063311C2318yescomplemented
249#13063311C2318yescomplemented
250#13063311C2318yescomplemented
251#13063311C2318yescomplemented
252#13063310C2318yescomplemented
253#13063310C2318yescomplemented
254#13063310C2318yescomplemented
255#13063310C2318yescomplemented
256#13063310C2318yescomplemented
257#13063309C2318yes—
258#13063309C2318yescomplemented
259#13063309C2318yescomplemented
260#13063309C2318yescomplemented
261#13063308C2314yes—
262#13063308C2314yes—
263#13063308C2318yescomplemented
264#13063308C2314yescomplemented
265#13063308C2314yescomplemented
266#13063308C2318yescomplemented
267#13063307C2318yescomplemented
268#13063307C2318yescomplemented
269#13063307C2318yescomplemented
270#13063307C2318yescomplemented
271#13063306C2318yes—
272#13063305C2318yescomplemented
273#13063305C2318yescomplemented
274#13063304C2312yes—
275#13063304C2312yes—
276#13063304C2312yes—
277#13063304C2312yes—
278#13063304C2314yescomplemented
279#13063304C2312yescomplemented
280#13063304C2312yescomplemented
281#13063304C2312yescomplemented
282#13063304C2312yescomplemented
283#13063303C2318yescomplemented
284#13063303C2318yescomplemented
285#13063302C2318yes—
286#13063302C2318yes—
287#13063302C2318yescomplemented
288#13063301C2318yescomplemented
289#13063301C2314yescomplemented
290#13063300C2314yescomplemented
291#13063300C2318yescomplemented
292#13063300C2314yescomplemented
293#13063300C2318yescomplemented
294#13063300C2318yescomplemented
295#13063299C2312yes—
296#13063299C2314yes—
297#13063299C2314yes—
298#13063299C2314yes—
299#13063299C2314yes—
300#13063299C2312yes—
301#13063299C2314yes—
302#13063299C2314yes—
303#13063299C2314yes—
304#13063299C2314yes—
305#13063299C2314yes—
306#13063299C2314yes—
307#13063299C2314yes—
308#13063299C2314yes—
309#13063299C2314yes—
310#13063299C2314yes—
311#13063299C2314yes—
312#13063299C2314yes—
313#13063299C2312yes—
314#13063299C2312yes—
315#13063299C2314yescomplemented
316#13063299C2314yescomplemented
317#13063299C2318yescomplemented
318#13063299C2318yescomplemented
319#13063299C2314yescomplemented
320#13063299C2318yescomplemented
321#13063299C2312yescomplemented
322#13063299C2312yescomplemented
323#13063299C2312yescomplemented
324#13063299C2312yescomplemented
325#13063298C2318yescomplemented
326#13063298C2318yescomplemented
327#13063298C2318yescomplemented
328#13063298C2318yescomplemented
329#13063298C2318yescomplemented
330#13063298C2318yescomplemented
331#13063298C2318yescomplemented
332#13063297C2318yes—
333#13063297C2318yes—
334#13063297C2318yescomplemented
335#13063297C2318yescomplemented
336#13063297C2318yescomplemented
337#13063297C2318yescomplemented
338#13063297C2318yescomplemented
339#13063296C2314yescomplemented
340#13063296C2318yescomplemented
341#13063296C2318yescomplemented
342#13063295C2318yes—
343#13063295C2318yes—
344#13063295C2318yes—
345#13063295C2318yescomplemented
346#13063295C2318yescomplemented
347#13063295C2318yescomplemented
348#13063295C2318yescomplemented
349#13063294C2314yes—
350#13063294C2314yes—
351#13063294C2314yes—
352#13063294C2314yes—
353#13063294C2318yescomplemented
354#13063293C2318yes—
355#13063293C2318yes—
356#13063293C2318yes—
357#13063293C2318yescomplemented
358#13063293C2318yescomplemented
359#13063293C2318yescomplemented
360Q8×Dic43C2314yescomplemented
361C4×Dic86C2314yescomplemented
362C4×D172C2314yescomplemented
363C4×D172C2314yescomplemented
364C4×D172C2318yescomplemented
365C4×D172C2314yescomplemented
366D4×Dic43C2318yes—
367D4×Dic43C2318yes—
368D4×Dic43C2314yescomplemented
369#13063287C2318yescomplemented
370#13063287C2314yescomplemented
371#13063287C2314yescomplemented
372C4×C22⋊D43C2314yes—
373C4×C22⋊D43C2314yes—
374C4×C22⋊D43C2314yes—
375C4×C22⋊D43C2314yes—
376C4×C22⋊D43C2314yescomplemented
377C4×C22⋊D43C2318yescomplemented
378C4×C22⋊D43C2318yescomplemented
379C4×C22⋊D43C2314yescomplemented
380C4×C22⋊D43C2314yescomplemented
381C4×C22⋊D43C2318yescomplemented
382C4×C22⋊D43C2314yescomplemented
383(C22⋊D43)⋊C4C2318yes—
384(C22⋊D43)⋊C4C2318yes—
385(C22⋊D43)⋊C4C2318yescomplemented
386(C22⋊D43)⋊C4C2318yescomplemented
387(C22⋊D43)⋊C4C2318yescomplemented
388#13063284C2312yes—
389#13063284C2312yes—
390#13063284C2314yescomplemented
391#13063284C2312yescomplemented
392#13063284C2312yescomplemented
393#13063283C2318yescomplemented
394#13063283C2314yescomplemented
395#13063282C2318yescomplemented
396#13063281C2318yes—
397C2×C4⋊Dic43C2312yes—
398C2×C4⋊Dic43C2312yes—
399C2×C4⋊Dic43C2312yes—
400C2×C4⋊Dic43C2312yes—
401C2×C4⋊Dic43C2312yes—
402C2×C4⋊Dic43C2312yes—
403C2×C4⋊Dic43C2311yescharacteristic, complemented
404C2×C4⋊Dic43C2314yescomplemented
405C2×C4⋊Dic43C2311yescharacteristic, complemented
406C2×Dic43⋊C4C2312yescomplemented
407C2×Dic43⋊C4C2312yescomplemented
408C4⋊C4×D43C2314yescomplemented
409C2×C22⋊Dic43C2312yes—
410C2×C22⋊Dic43C2312yes—
411C2×C22⋊Dic43C2312yes—
412C2×(C2×D43)⋊C4C2314yes—
413C2×(C2×D43)⋊C4C2314yes—
414C2×(C2×D43)⋊C4C2314yes—
415C2×(C2×D43)⋊C4C2314yes—
416C2×(C2×D43)⋊C4C2314yes—
417C2×(C2×D43)⋊C4C2314yes—
418C2×(C2×D43)⋊C4C2312yescomplemented
419C2×(C2×D43)⋊C4C2312yescomplemented
420C2×(C2×D43)⋊C4C2318yescomplemented
421C22⋊C4×D43C2318yes—
422C22⋊C4×D43C2318yes—
423C22⋊C4×D43C2318yes—
424C22⋊C4×D43C2318yescomplemented
425C2×C4×Dic43C2312yescomplemented
426C25×C43C2311yescharacteristic
427C2×#41×C43—44no—
428C2×#41×C43C2312yes—
429C2×#41×C43C2312yes—
430C2×#41×C43C2312yescomplemented
431C2×#41×C43C2312yescomplemented
432C22×Q8×C43C2311yescharacteristic, complemented
433C22×D4×C43C2312yes—
434C22×D4×C43C2312yes—
435C22×D4×C43C2312yes—
436C22×D4×C43C2311yescharacteristic, complemented
437C23×C4×C43—44no—
438C23×C4×C43C2311yescharacteristic
439C23×C4×C43C2311yescharacteristic
440C23×C4×C43C2311yescharacteristic
441C23×C4×C43C2311yescharacteristic
442C23×C4×C43C2311yescharacteristic
443C23×C4×C43C2311yescharacteristic
444C23×C4×C43C2311yescharacteristic
445C23×C4×C43C2311yescharacteristic
446C23×C4×C43C2311yescharacteristic
447C23×C4×C43C2311yescharacteristic
448C23×C4×C43C2311yescharacteristic
449C23×C4×C43C2311yescharacteristic
450C23×C4×C43C2311yescharacteristic
451C23×C4×C43C2311yescharacteristic
452C23×C4×C43C2312yescomplemented
453#123×C43C2314yes—
454#123×C43C2314yes—
455#123×C43C2314yescomplemented
456#123×C43C2314yescomplemented
457C22⋊Q8×C43C2312yes—
458C22⋊Q8×C43C2312yes—
459C22⋊Q8×C43C2312yes—
460C22⋊Q8×C43C2312yes—
461C22⋊Q8×C43C2312yescomplemented
462C22⋊Q8×C43C2312yescomplemented
463C22⋊Q8×C43C2312yescomplemented
464C22⋊Q8×C43C2312yescomplemented
465#121×C43C2312yes—
466#121×C43C2312yes—
467#121×C43C2312yes—
468#121×C43C2312yes—
469#121×C43C2312yescomplemented
470#121×C43C2312yescomplemented
471#121×C43C2312yescomplemented
472#121×C43C2312yescomplemented
473#120×C43C2314yes—
474#120×C43C2314yes—
475#120×C43C2314yes—
476#120×C43C2314yes—
477C4×D4×C43C2314yes—
478C4×D4×C43C2314yes—
479C4×D4×C43C2314yes—
480C4×D4×C43C2314yes—
481C4×D4×C43C2314yescomplemented
482C4×D4×C43C2314yescomplemented
483C4×D4×C43C2314yescomplemented
484C4×D4×C43C2314yescomplemented
485#117×C43C2312yes—
486#117×C43C2312yes—
487#117×C43C2312yescomplemented
488#117×C43C2312yescomplemented
489C2×C4⋊C4×C43C2311yescharacteristic, complemented
490C2×C4⋊C4×C43C2311yescharacteristic, complemented
491C2×C4⋊C4×C43C2312yescomplemented
492C2×C4⋊C4×C43C2312yescomplemented
493C2×C22⋊C4×C43C2312yes—
494C2×C22⋊C4×C43C2312yes—
495C2×C22⋊C4×C43C2312yes—
496C2×C22⋊C4×C43C2312yescomplemented
497C2×C22⋊C4×C43C2312yescomplemented
498C2×C42×C43C2312yescomplemented
499C24×C43—24no—
500C24×C43—42no—
501C24×C43—42no—
502C24×C43C2411yescharacteristic
503C24×C43C2411yescharacteristic
504C24×C43C2411yescharacteristic
505C24×C43C2411yescharacteristic
506C24×C43C2411yescharacteristic
507C24×C43C2412yes—
508C24×C43C2411yescharacteristic
509C24×C43C2411yescharacteristic
510C23×D43—44no—
511C23×D43—44no—
512C23×D43—44no—
513C23×D43C2414yes—
514C23×D43C2414yes—
515C23×D43C2414yes—
516C23×D43C2412yes—
517C23×D43C2418yes—
518#41×C43—28no—
519#41×C43—44no—
520#41×C43—44no—
521#41×C43—44no—
522C2×Q8×C43—42no—
523C2×Q8×C43C2412yes—
524C2×Q8×C43C2412yes—
525C2×D4×C43—28no—
526C2×D4×C43—44no—
527C2×D4×C43—44no—
528C2×D4×C43—42no—
529C2×D4×C43C2414yes—
530C2×D4×C43C2414yes—
531C2×D4×C43C2414yes—
532C2×D4×C43C2414yes—
533C2×D4×C43C2412yes—
534C2×D4×C43C2414yes—
535C2×D4×C43C2414yes—
536C2×D4×C43C2412yes—
537C22×C4×C43—24no—
538C22×C4×C43—24no—
539C22×C4×C43—24no—
540C22×C4×C43—42no—
541C22×C4×C43—42no—
542C22×C4×C43—42no—
543C22×C4×C43—42no—
544C22×C4×C43—42no—
545C22×C4×C43—42no—
546C22×C4×C43—42no—
547C22×C4×C43—42no—
548C22×C4×C43—42no—
549C22×C4×C43—42no—
550C22×C4×C43—42no—
551C22×C4×C43—44no—
552C22×C4×C43C2411yescharacteristic
553C22×C4×C43C2412yes—
554C22×C4×C43C2411yescharacteristic
555C22×C4×C43C2411yescharacteristic
556C22×C4×C43C2411yescharacteristic
557C22×C4×C43C2411yescharacteristic
558C22×C4×C43C2411yescharacteristic
559C22×C4×C43C2411yescharacteristic
560C22×C4×C43C2414yes—
561C22×C4×C43C2411yescharacteristic
562C22×C4×C43C2411yescharacteristic
563C22×C4×C43C2411yescharacteristic
564C22×C4×C43C2411yescharacteristic
565C22×C4×C43C2411yescharacteristic
566C22×C4×C43C2411yescharacteristic
567C22×C4×C43C2411yescharacteristic
568C22×C4×C43C2411yescharacteristic
569C22×C4×C43C2412yes—
570C22×C4×C43C2412yes—
571C22×C4×C43C2411yescharacteristic
572C22×C4×C43C2411yescharacteristic
573C22×C4×C43C2411yescharacteristic
574C22×C4×C43C2411yescharacteristic
575C22×C4×C43C2414yes—
576C22×C4×C43C2411yescharacteristic
577C22×C4×C43C2411yescharacteristic
578C22×C4×C43C2411yescharacteristic
579C22×C4×C43C2411yescharacteristic
580C22×C4×C43C2411yescharacteristic
581C22×C4×C43C2411yescharacteristic
582C22×C4×C43C2411yescharacteristic
583C22×C4×C43C2411yescharacteristic
584C22×C4×C43C2411yescharacteristic
585C2×C22⋊D43—216no—
586C2×C22⋊D43—28no—
587C2×C22⋊D43—48no—
588C2×C22⋊D43—48no—
589C2×C22⋊D43—48no—
590C2×C22⋊D43—48no—
591C2×C22⋊D43—48no—
592C2×C22⋊D43—44no—
593C2×C22⋊D43—44no—
594C2×C22⋊D43—416no—
595C2×C22⋊D43C2414yes—
596C2×C22⋊D43C2414yes—
597C2×C22⋊D43C2418yes—
598C2×C22⋊D43C2414yes—
599C2×C22⋊D43C2414yes—
600C2×C22⋊D43C2418yes—
601C2×C22⋊D43C2418yes—
602C2×C22⋊D43C2414yes—
603C2×C22⋊D43C2418yes—
604C2×C22⋊D43C2418yes—
605C2×C22⋊D43C2414yes—
606C2×C22⋊D43C2418yes—
607C2×C22⋊D43C2418yes—
608C2×C22⋊D43C2418yes—
609C22×Dic43—44no—
610C22×Dic43C2412yes—
611C22×Dic43C2414yes—
612C22×Dic43C2412yes—
613C22×Dic43C2414yes—
614C22×Dic43C2414yes—
615C22×Dic43C2418yes—
616C22×Dic43C2412yes—
617#10621902—48no—
618#10621900—416no—
619#10621900—416no—
620D4×D43—416no—
621D4×D43—416no—
622D4×D43—416no—
623D4×D43—416no—
624D4×D43—48no—
625#10621898—28no—
626#10621898—44no—
627#10621898—48no—
628#10621898—44no—
629#10621898—44no—
630#10621898—416no—
631C2×D172—28no—
632C2×D172—44no—
633C2×D172—44no—
634C2×D172—44no—
635C2×D172—44no—
636C2×D172—44no—
637C2×D172—42no—
638C2×D172—48no—
639C2×D172C2414yes—
640C2×D172C2414yes—
641C2×D172C2412yes—
642C2×D172C2418yes—
643C2×D172C2418yes—
644C2×D172C2418yes—
645C2×D172C2412yes—
646C2×D172C2414yes—
647C2×D172C2414yes—
648C2×C4×D43—44no—
649C2×C4×D43C2414yes—
650C2×C4×D43C2418yes—
651C2×C4×D43C2418yes—
652C2×C4×D43C2418yes—
653C2×C4×D43C2414yes—
654C2×C4×D43C2418yes—
655C2×Dic86—42no—
656C2×Dic86C2412yes—
657C2×Dic86C2418yes—
658C2×Dic86C2412yes—
659C4⋊C4×C43C2412yes—
660C4⋊C4×C43C2412yes—
661C4⋊C4×C43C2412yes—
662C4⋊C4×C43C2412yes—
663C4⋊C4×C43C2414yes—
664C4⋊C4×C43C2414yes—
665C4⋊C4×C43C2414yes—
666C4⋊C4×C43C2414yes—
667C22⋊C4×C43C2414yes—
668C22⋊C4×C43C2414yes—
669C22⋊C4×C43C2414yes—
670C22⋊C4×C43C2414yes—
671C22⋊C4×C43C2414yes—
672C22⋊C4×C43C2414yes—
673C22⋊C4×C43C2414yes—
674C22⋊C4×C43C2414yes—
675C22⋊C4×C43C2414yes—
676C22⋊C4×C43C2414yes—
677C42×C43C2414yes—
678C42×C43C2414yes—
679C22⋊Dic43C2414yes—
680C22⋊Dic43C2414yes—
681C22⋊Dic43C2414yes—
682C22⋊Dic43C2418yes—
683C22⋊Dic43C2414yes—
684C22⋊Dic43C2414yes—
685C22⋊Dic43C2414yes—
686C22⋊Dic43C2418yes—
687(C2×D43)⋊C4C2418yes—
688(C2×D43)⋊C4C2418yes—
689(C2×D43)⋊C4C2418yes—
690(C2×D43)⋊C4C2418yes—
691(C2×D43)⋊C4C2418yes—
692(C2×D43)⋊C4C2418yes—
693(C2×D43)⋊C4C2418yes—
694(C2×D43)⋊C4C2418yes—
695(C2×D43)⋊C4C2418yes—
696(C2×D43)⋊C4C2418yes—
697(C2×D43)⋊C4C2414yes—
698(C2×D43)⋊C4C2418yes—
699(C2×D43)⋊C4C2414yes—
700(C2×D43)⋊C4C2414yes—
701(C2×D43)⋊C4C2414yes—
702(C2×D43)⋊C4C2418yes—
703C4⋊Dic43C2414yes—
704C4⋊Dic43C2414yes—
705C4⋊Dic43C2414yes—
706C4⋊Dic43C2414yes—
707C4⋊Dic43C2412yes—
708C4⋊Dic43C2412yes—
709C4⋊Dic43C2412yes—
710C4⋊Dic43C2412yes—
711C4⋊Dic43C2418yes—
712C4⋊Dic43C2418yes—
713Dic43⋊C4C2418yes—
714Dic43⋊C4C2414yes—
715Dic43⋊C4C2414yes—
716Dic43⋊C4C2414yes—
717Dic43⋊C4C2414yes—
718Dic43⋊C4C2418yes—
719Dic43⋊C4C2418yes—
720Dic43⋊C4C2418yes—
721C4×Dic43C2414yes—
722C4×Dic43C2414yes—
723C4×Dic43C2418yes—
724C4×Dic43C2418yes—
725C23×C43—22no—
726C23×C43—22no—
727C23×C43—22no—
728C23×C43—22no—
729C23×C43—22no—
730C23×C43—22no—
731C23×C43—22no—
732C23×C43—22no—
733C23×C43—22no—
734C23×C43—22no—
735C23×C43—22no—
736C23×C43—22no—
737C23×C43—24no—
738C23×C43—41no—
739C23×C43—41no—
740C23×C43—41no—
741C23×C43—41no—
742C23×C43—41no—
743C23×C43—41no—
744C23×C43—41no—
745C23×C43—41no—
746C23×C43—42no—
747C23×C43—42no—
748C23×C43—416no—
749C23×C43H(5,𝔽2)14yescomplemented
750C23×C43C2514yes—
751C23×C43C2511yescharacteristic
752C23×C43C2511yescharacteristic
753C23×C43C2511yescharacteristic
754C23×C43C2511yescharacteristic
755C23×C43C2511yescharacteristic
756C23×C43C2511yescharacteristic
757C23×C43C2511yescharacteristic
758C22×D43—28no—
759C22×D43—24no—
760C22×D43—28no—
761C22×D43—28no—
762C22×D43—42no—
763C22×D43—44no—
764C22×D43—44no—
765C22×D43—44no—
766C22×D43—44no—
767C22×D43—42no—
768C22×D43—44no—
769C22×D43—44no—
770C22×D43—48no—
771C22×D43—48no—
772C22×D43—48no—
773C22×D43—816no—
774C22×D43C2518yes—
775C22×D43C2514yes—
776Q8×C43—24no—
777Q8×C43—42no—
778D4×C43—28no—
779D4×C43—28no—
780D4×C43—28no—
781D4×C43—28no—
782D4×C43—24no—
783D4×C43—44no—
784D4×C43—44no—
785D4×C43—42no—
786C2×C4×C43—22no—
787C2×C4×C43—24no—
788C2×C4×C43—22no—
789C2×C4×C43—22no—
790C2×C4×C43—22no—
791C2×C4×C43—22no—
792C2×C4×C43—22no—
793C2×C4×C43—22no—
794C2×C4×C43—22no—
795C2×C4×C43—22no—
796C2×C4×C43—28no—
797C2×C4×C43—22no—
798C2×C4×C43—22no—
799C2×C4×C43—22no—
800C2×C4×C43—22no—
801C2×C4×C43—22no—
802C2×C4×C43—22no—
803C2×C4×C43—41no—
804C2×C4×C43—41no—
805C2×C4×C43—41no—
806C2×C4×C43—41no—
807C2×C4×C43—41no—
808C2×C4×C43—41no—
809C2×C4×C43—41no—
810C2×C4×C43—41no—
811C2×C4×C43—41no—
812C2×C4×C43—41no—
813C2×C4×C43—41no—
814C2×C4×C43—41no—
815C2×C4×C43—42no—
816C2×C4×C43—44no—
817C2×C4×C43—42no—
818C2×C4×C43H(5,𝔽2)14yescomplemented
819C2×C4×C43C2511yescharacteristic
820C2×C4×C43C2514yes—
821C2×C4×C43C2514yes—
822C2×C4×C43C2511yescharacteristic
823C2×C4×C43C2511yescharacteristic
824C2×C4×C43C2511yescharacteristic
825C2×C4×C43C2511yescharacteristic
826C2×C4×C43C2514yes—
827C2×C4×C43C2511yescharacteristic
828C2×C4×C43C2511yescharacteristic
829C2×C4×C43C2511yescharacteristic
830C22⋊D43—28no—
831C22⋊D43—28no—
832C22⋊D43—216no—
833C22⋊D43—28no—
834C22⋊D43—216no—
835C22⋊D43—28no—
836C22⋊D43—44no—
837C22⋊D43—48no—
838C22⋊D43—48no—
839C22⋊D43—48no—
840C22⋊D43—48no—
841C22⋊D43—48no—
842C22⋊D43—48no—
843C22⋊D43—44no—
844C2×Dic43—24no—
845C2×Dic43—28no—
846C2×Dic43—42no—
847C2×Dic43—48no—
848C2×Dic43—44no—
849C2×Dic43—44no—
850C2×Dic43—42no—
851C2×Dic43C2514yes—
852C2×Dic43C2514yes—
853C2×Dic43C2518yes—
854C2×Dic43C2514yes—
855D172—28no—
856D172—28no—
857D172—24no—
858D172—44no—
859D172—44no—
860D172—42no—
861D172—48no—
862D172—48no—
863D172—48no—
864C4×D43—28no—
865C4×D43—44no—
866C4×D43—48no—
867C4×D43—48no—
868C4×D43—48no—
869C4×D43—48no—
870Dic86—24no—
871Dic86—42no—
872Dic86—48no—
873#62818—431nomaximal, Sylow
874C22×C43—28no—
875C22×C43—21no—
876C22×C43—21no—
877C22×C43—21no—
878C22×C43—21no—
879C22×C43—21no—
880C22×C43—21no—
881C22×C43—21no—
882C22×C43—21no—
883C22×C43—21no—
884C22×C43—21no—
885C22×C43—24no—
886C22×C43—24no—
887C22×C43—21no—
888C22×C43—21no—
889C22×C43—21no—
890C22×C43—21no—
891C22×C43—24no—
892C22×C43—21no—
893C22×C43—21no—
894C22×C43—44no—
895C22×C43—44no—
896C22×C43—44no—
897C22×C43—44no—
898C22×C43—44no—
899C22×C43—44no—
900C22×C43—84no—
901C22×C43C2×H(5,𝔽2)12yes—
902C22×C43C2×H(5,𝔽2)12yes—
903C22×C43C2×H(5,𝔽2)12yes—
904C22×C43C2×H(5,𝔽2)12yes—
905C22×C43#58512yes—
906C22×C43C2611yescharacteristic
907C2×D43—28no—
908C2×D43—28no—
909C2×D43—24no—
910C2×D43—24no—
911C2×D43—28no—
912C2×D43—24no—
913C2×D43—84no—
914C2×D43—88no—
915C2×D43—88no—
916C2×D43—88no—
917C2×D43—168no—
918C4×C43—24no—
919C4×C43—21no—
920C4×C43—21no—
921C4×C43—24no—
922C4×C43—21no—
923C4×C43—21no—
924C4×C43—21no—
925C4×C43—21no—
926C4×C43—24no—
927C4×C43C2×H(5,𝔽2)12yes—
928C4×C43C2×H(5,𝔽2)12yes—
929Dic43—24no—
930Dic43—24no—
931Dic43—28no—
932Dic43—24no—
933#3542—434no—
934#3542—434no—
935#3537—432no—
936#3537—432no—
937#3536—432no—
938#3536—432no—
939#3534—434no—
940#3534—434no—
941#3519—434no—
942#3519—434no—
943#3505—432no—
944#3505—432no—
945#3496—432no—
946#3496—432no—
947#3494—432no—
948#3494—432no—
949#3492—432no—
950#3490—434no—
951#3488—432no—
952#3488—432no—
953#3484—432no—
954#3484—434no—
955C2×#525—431no—
956C2×#525D4311yescharacteristic, complemented
957C22×#121—431no—
958C2×C43—22no—
959C2×C43—22no—
960C2×C43—22no—
961C2×C43—22no—
962C2×C43—22no—
963C2×C43—44no—
964C2×C43—41no—
965C2×C43—41no—
966C2×C43C22×H(5,𝔽2)11yescharacteristic
967C2×C43C22×H(5,𝔽2)11yescharacteristic
968C2×C43C2×#58511yescharacteristic
969D43—48no—
970D43—44no—
971C2×H(5,𝔽2)—432no—
972C2×H(5,𝔽2)—434no—
973C22×#41—431no—
974C22×#41C2×D4311yescharacteristic, complemented
975C23×D4—432no—
976C23×D4—431no—
977C24×C4C2×D4311yescharacteristic, complemented
978#562—438no—
979#562—438no—
980#560—438no—
981#560—438no—
982#555—434no—
983#555—434no—
984#554—434no—
985#554—434no—
986#553—434no—
987#553—434no—
988#553—434no—
989#553—434no—
990#553—438no—
991#553—434no—
992#553—434no—
993#553—438no—
994#552—434no—
995#552—434no—
996#551—438no—
997#551—438no—
998#551—438no—
999#551—438no—
1000#550—434no—
1001#550—434no—
1002#548—434no—
1003#548—434no—
1004#547—434no—
1005#547—434no—
1006#547—434no—
1007#547—434no—
1008#546—438no—
1009#546—434no—
1010#546—438no—
1011#546—434no—
1012#546—434no—
1013#546—438no—
1014#546—438no—
1015#546—438no—
1016#546—434no—
1017#546—434no—
1018#546—438no—
1019#546—434no—
1020#546—438no—
1021#546—438no—
1022#546—438no—
1023#546—438no—
1024D42—438no—
1025D42—438no—
1026D42—434no—
1027D42—434no—
1028D42—434no—
1029D42—438no—
1030D42—438no—
1031D42—434no—
1032D42—434no—
1033D42—434no—
1034#544—432no—
1035#543—434no—
1036#542—434no—
1037#542—434no—
1038#540—438no—
1039#540—434no—
1040#540—438no—
1041#540—434no—
1042#539—438no—
1043#539—434no—
1044#539—434no—
1045#538—438no—
1046#538—434no—
1047#538—434no—
1048#538—434no—
1049#538—438no—
1050#538—438no—
1051#538—434no—
1052#537—432no—
1053#537—434no—
1054#537—434no—
1055#537—434no—
1056#537—434no—
1057#535—432no—
1058#535—434no—
1059#535—434no—
1060#535—438no—
1061#535—432no—
1062#534—434no—
1063#534—438no—
1064#534—434no—
1065#534—434no—
1066#534—438no—
1067#534—434no—
1068#534—434no—
1069#532—434no—
1070#532—434no—
1071#529—434no—
1072#529—434no—
1073#525—432no—
1074#525—432no—
1075#525—432no—
1076#525—432no—
1077#525—432no—
1078#525—432no—
1079#525—432no—
1080#525—432no—
1081#525—434no—
1082#525—434no—
1083#525—438no—
1084#525C2×D4312yescomplemented
1085#525C2×D4312yescomplemented
1086#525C2×D4312yescomplemented
1087#525C2×D4312yescomplemented
1088#525C2×D4312yescomplemented
1089#525C2×D4312yescomplemented
1090#525C2×D4312yescomplemented
1091#525C2×D4312yescomplemented
1092C2×#123—432no—
1093C2×#123C2×D4312yescomplemented
1094C2×C22⋊Q8—431no—
1095C2×C22⋊Q8—431no—
1096C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1097C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1098C2×#121—432no—
1099C2×#121—432no—
1100C2×#121—432no—
1101C2×#121—432no—
1102C2×#121—432no—
1103C2×#121—432no—
1104C2×#121—432no—
1105C2×#121—432no—
1106C2×#121—432no—
1107C2×#121—432no—
1108C2×#121—432no—
1109C2×#121—432no—
1110C2×#121—431no—
1111C2×#121—431no—
1112C2×#121—434no—
1113C2×#121—434no—
1114C2×#121C2×D4311yescharacteristic, complemented
1115C2×#121C2×D4311yescharacteristic, complemented
1116C2×#120—432no—
1117C2×#120—438no—
1118C2×#120C2×D4312yescomplemented
1119#520—432no—
1120#520—432no—
1121#518—438no—
1122#518—432no—
1123#518—434no—
1124C2×C4×D4—432no—
1125C2×C4×D4—432no—
1126C2×C4×D4C2×D4312yescomplemented
1127C2×C4×D4C2×D4312yescomplemented
1128C2×#117—431no—
1129C2×#117C2×D4311yescharacteristic, complemented
1130C22×C4⋊C4—431no—
1131C22×C22⋊C4—432no—
1132C43#6281811yescharacteristic, complemented, Sylow
1133C25—432no—
1134C25C22×D4311yescharacteristic
1135H(5,𝔽2)—17216no—
1136H(5,𝔽2)—1728no—
1137C2×#41—44no—
1138C2×#41—434no—
1139C2×#41—438no—
1140C2×#41—438no—
1141C2×#41—432no—
1142C2×#41—432no—
1143C2×#41—432no—
1144C2×#41—432no—
1145C2×#41—434no—
1146C2×#41—438no—
1147C2×#41—1724no—
1148C2×#41C22×D4312yes—
1149C2×#41C22×D4312yes—
1150C2×#41C22×D4312yescomplemented
1151C2×#41C22×D4312yescomplemented
1152C22×Q8—431no—
1153C22×Q8C22×D4311yescharacteristic, complemented
1154C22×D4—432no—
1155C22×D4—434no—
1156C22×D4—432no—
1157C22×D4—432no—
1158C22×D4—434no—
1159C22×D4—434no—
1160C22×D4—434no—
1161C22×D4—434no—
1162C22×D4—434no—
1163C22×D4—438no—
1164C22×D4—438no—
1165C22×D4—438no—
1166C22×D4—438no—
1167C22×D4—438no—
1168C22×D4—434no—
1169C22×D4—432no—
1170C22×D4—432no—
1171C22×D4—431no—
1172C22×D4—432no—
1173C22×D4—432no—
1174C22×D4—432no—
1175C22×D4—432no—
1176C22×D4—434no—
1177C22×D4—1724no—
1178C22×D4—1728no—
1179C22×D4C22×D4312yes—
1180C22×D4C22×D4312yes—
1181C22×D4C22×D4312yes—
1182C22×D4C22×D4311yescharacteristic, complemented
1183C23×C4—44no—
1184C23×C4—432no—
1185C23×C4—432no—
1186C23×C4C22×D4311yescharacteristic
1187C23×C4C22×D4311yescharacteristic
1188C23×C4C22×D4311yescharacteristic
1189C23×C4C22×D4311yescharacteristic
1190C23×C4C22×D4311yescharacteristic
1191C23×C4C22×D4311yescharacteristic
1192C23×C4C22×D4311yescharacteristic
1193C23×C4C22×D4311yescharacteristic
1194C23×C4C22×D4311yescharacteristic
1195C23×C4C22×D4311yescharacteristic
1196C23×C4C22×D4311yescharacteristic
1197C23×C4C22×D4311yescharacteristic
1198C23×C4C22×D4311yescharacteristic
1199C23×C4C22×D4311yescharacteristic
1200C23×C4C22×D4312yescomplemented
1201C4⋊Q8—434no—
1202C4⋊Q8—434no—
1203#127—434no—
1204#127—438no—
1205#127—438no—
1206#127—434no—
1207#126—438no—
1208#126—438no—
1209#126—438no—
1210#126—438no—
1211#126—438no—
1212#126—438no—
1213#125—434no—
1214#125—438no—
1215#125—438no—
1216#125—434no—
1217#124—434no—
1218#124—438no—
1219#124—438no—
1220#124—438no—
1221#124—438no—
1222#124—438no—
1223#124—434no—
1224#124—438no—
1225#123—438no—
1226#123—434no—
1227#123—434no—
1228#123—434no—
1229#123—434no—
1230#123—438no—
1231#123—438no—
1232#123—438no—
1233#123—438no—
1234#123—438no—
1235#123—438no—
1236#123—438no—
1237#123—438no—
1238#123—438no—
1239#123—438no—
1240#123—438no—
1241#123—438no—
1242#123—438no—
1243#123—438no—
1244#123—438no—
1245#123C22×D4314yes—
1246#123C22×D4314yes—
1247#123C22×D4314yescomplemented
1248#123C22×D4314yescomplemented
1249C22⋊Q8—434no—
1250C22⋊Q8—438no—
1251C22⋊Q8—432no—
1252C22⋊Q8—432no—
1253C22⋊Q8—432no—
1254C22⋊Q8—432no—
1255C22⋊Q8—432no—
1256C22⋊Q8—432no—
1257C22⋊Q8—432no—
1258C22⋊Q8—432no—
1259C22⋊Q8—434no—
1260C22⋊Q8—438no—
1261C22⋊Q8—438no—
1262C22⋊Q8—438no—
1263C22⋊Q8—438no—
1264C22⋊Q8—438no—
1265C22⋊Q8—438no—
1266C22⋊Q8—438no—
1267C22⋊Q8C22×D4312yes—
1268C22⋊Q8C22×D4312yes—
1269C22⋊Q8C22×D4312yes—
1270C22⋊Q8C22×D4312yes—
1271C22⋊Q8C22×D4312yescomplemented
1272C22⋊Q8C22×D4312yescomplemented
1273C22⋊Q8C22×D4312yescomplemented
1274C22⋊Q8C22×D4312yescomplemented
1275#121—438no—
1276#121—434no—
1277#121—438no—
1278#121—438no—
1279#121—438no—
1280#121—438no—
1281#121—438no—
1282#121—438no—
1283#121—438no—
1284#121—438no—
1285#121—434no—
1286#121—434no—
1287#121—432no—
1288#121—434no—
1289#121—434no—
1290#121—434no—
1291#121—434no—
1292#121—434no—
1293#121—434no—
1294#121—434no—
1295#121—434no—
1296#121—434no—
1297#121—434no—
1298#121—434no—
1299#121—434no—
1300#121—434no—
1301#121—434no—
1302#121—432no—
1303#121—432no—
1304#121—432no—
1305#121—432no—
1306#121—432no—
1307#121—432no—
1308#121—432no—
1309#121—438no—
1310#121—434no—
1311#121—434no—
1312#121—438no—
1313#121—434no—
1314#121—438no—
1315#121—434no—
1316#121—434no—
1317#121—438no—
1318#121—438no—
1319#121—438no—
1320#121—438no—
1321#121—438no—
1322#121—438no—
1323#121—438no—
1324#121—438no—
1325#121—438no—
1326#121—438no—
1327#121C22×D4312yes—
1328#121C22×D4312yes—
1329#121C22×D4312yes—
1330#121C22×D4312yes—
1331#121C22×D4312yescomplemented
1332#121C22×D4312yescomplemented
1333#121C22×D4312yescomplemented
1334#121C22×D4312yescomplemented
1335#120—434no—
1336#120—434no—
1337#120—434no—
1338#120—434no—
1339#120—438no—
1340#120—438no—
1341#120—438no—
1342#120—438no—
1343#120—438no—
1344#120—438no—
1345#120—438no—
1346#120—438no—
1347#120—438no—
1348#120—438no—
1349#120—438no—
1350#120—438no—
1351#120—438no—
1352#120—438no—
1353#120C22×D4314yes—
1354#120C22×D4314yes—
1355#120C22×D4314yes—
1356#120C22×D4314yes—
1357C4×Q8—434no—
1358C4×Q8—434no—
1359C4×D4—438no—
1360C4×D4—438no—
1361C4×D4—434no—
1362C4×D4—434no—
1363C4×D4—434no—
1364C4×D4—434no—
1365C4×D4—434no—
1366C4×D4—434no—
1367C4×D4—434no—
1368C4×D4—434no—
1369C4×D4—434no—
1370C4×D4—438no—
1371C4×D4—438no—
1372C4×D4—438no—
1373C4×D4—438no—
1374C4×D4—434no—
1375C4×D4—434no—
1376C4×D4—438no—
1377C4×D4—438no—
1378C4×D4—438no—
1379C4×D4—438no—
1380C4×D4—438no—
1381C4×D4—434no—
1382C4×D4—438no—
1383C4×D4—434no—
1384C4×D4—434no—
1385C4×D4C22×D4314yes—
1386C4×D4C22×D4314yes—
1387C4×D4C22×D4314yes—
1388C4×D4C22×D4314yes—
1389C4×D4C22×D4314yescomplemented
1390C4×D4C22×D4314yescomplemented
1391C4×D4C22×D4314yescomplemented
1392C4×D4C22×D4314yescomplemented
1393#117—432no—
1394#117—432no—
1395#117—432no—
1396#117—432no—
1397#117—434no—
1398#117—438no—
1399#117—434no—
1400#117—438no—
1401#117—438no—
1402#117C22×D4312yes—
1403#117C22×D4312yes—
1404#117C22×D4312yescomplemented
1405#117C22×D4312yescomplemented
1406C2×C4⋊C4—432no—
1407C2×C4⋊C4—432no—
1408C2×C4⋊C4—432no—
1409C2×C4⋊C4—432no—
1410C2×C4⋊C4—432no—
1411C2×C4⋊C4—432no—
1412C2×C4⋊C4—431no—
1413C2×C4⋊C4—431no—
1414C2×C4⋊C4—432no—
1415C2×C4⋊C4—432no—
1416C2×C4⋊C4—434no—
1417C2×C4⋊C4—434no—
1418C2×C4⋊C4C22×D4311yescharacteristic, complemented
1419C2×C4⋊C4C22×D4311yescharacteristic, complemented
1420C2×C4⋊C4C22×D4312yescomplemented
1421C2×C4⋊C4C22×D4312yescomplemented
1422C2×C22⋊C4—432no—
1423C2×C22⋊C4—432no—
1424C2×C22⋊C4—432no—
1425C2×C22⋊C4—434no—
1426C2×C22⋊C4—434no—
1427C2×C22⋊C4—434no—
1428C2×C22⋊C4—434no—
1429C2×C22⋊C4—434no—
1430C2×C22⋊C4—434no—
1431C2×C22⋊C4—432no—
1432C2×C22⋊C4—432no—
1433C2×C22⋊C4—438no—
1434C2×C22⋊C4—438no—
1435C2×C22⋊C4—438no—
1436C2×C22⋊C4—438no—
1437C2×C22⋊C4—438no—
1438C2×C22⋊C4C22×D4312yes—
1439C2×C22⋊C4C22×D4312yes—
1440C2×C22⋊C4C22×D4312yes—
1441C2×C22⋊C4C22×D4312yescomplemented
1442C2×C22⋊C4C22×D4312yescomplemented
1443C2×C42—432no—
1444C2×C42C22×D4312yescomplemented
1445C24—24no—
1446C24—42no—
1447C24—42no—
1448C24—434no—
1449C24—434no—
1450C24—434no—
1451C24—432no—
1452C24—438no—
1453C24—1724no—
1454C24—1724no—
1455C24—1724no—
1456C24C23×D4311yescharacteristic
1457C24C23×D4311yescharacteristic
1458C24C23×D4311yescharacteristic
1459C24C23×D4311yescharacteristic
1460C24C23×D4311yescharacteristic
1461C24C23×D4312yes—
1462C24C23×D4311yescharacteristic
1463C24C23×D4311yescharacteristic
1464#41—28no—
1465#41—44no—
1466#41—44no—
1467#41—44no—
1468#41—868no—
1469#41—1724no—
1470#41—1724no—
1471#41—17216no—
1472#41—1724no—
1473#41—1728no—
1474#41—17216no—
1475#41—17216no—
1476#41—1728no—
1477C2×Q8—42no—
1478C2×Q8—432no—
1479C2×Q8—432no—
1480C2×Q8—438no—
1481C2×Q8—1722no—
1482C2×Q8C23×D4312yes—
1483C2×Q8C23×D4312yes—
1484C2×D4—28no—
1485C2×D4—42no—
1486C2×D4—44no—
1487C2×D4—44no—
1488C2×D4—434no—
1489C2×D4—434no—
1490C2×D4—434no—
1491C2×D4—434no—
1492C2×D4—438no—
1493C2×D4—438no—
1494C2×D4—438no—
1495C2×D4—434no—
1496C2×D4—434no—
1497C2×D4—438no—
1498C2×D4—438no—
1499C2×D4—438no—
1500C2×D4—438no—
1501C2×D4—438no—
1502C2×D4—434no—
1503C2×D4—434no—
1504C2×D4—432no—
1505C2×D4—438no—
1506C2×D4—432no—
1507C2×D4—438no—
1508C2×D4—438no—
1509C2×D4—434no—
1510C2×D4—434no—
1511C2×D4—8616no—
1512C2×D4—868no—
1513C2×D4—868no—
1514C2×D4—1724no—
1515C2×D4—1724no—
1516C2×D4—1724no—
1517C2×D4—1724no—
1518C2×D4—1722no—
1519C2×D4—1728no—
1520C2×D4—1724no—
1521C2×D4—1728no—
1522C2×D4—1728no—
1523C2×D4—17216no—
1524C2×D4—17216no—
1525C2×D4—17216no—
1526C2×D4—17216no—
1527C2×D4—1728no—
1528C2×D4—1728no—
1529C2×D4—1728no—
1530C2×D4—1728no—
1531C2×D4—1724no—
1532C2×D4—17216no—
1533C2×D4—1724no—
1534C2×D4C23×D4314yes—
1535C2×D4C23×D4314yes—
1536C2×D4C23×D4312yes—
1537C2×D4C23×D4314yes—
1538C2×D4C23×D4314yes—
1539C2×D4C23×D4314yes—
1540C2×D4C23×D4312yes—
1541C2×D4C23×D4314yes—
1542C22×C4—24no—
1543C22×C4—24no—
1544C22×C4—24no—
1545C22×C4—42no—
1546C22×C4—42no—
1547C22×C4—42no—
1548C22×C4—42no—
1549C22×C4—42no—
1550C22×C4—42no—
1551C22×C4—42no—
1552C22×C4—42no—
1553C22×C4—44no—
1554C22×C4—42no—
1555C22×C4—42no—
1556C22×C4—42no—
1557C22×C4—432no—
1558C22×C4—434no—
1559C22×C4—432no—
1560C22×C4—432no—
1561C22×C4—434no—
1562C22×C4—434no—
1563C22×C4—438no—
1564C22×C4—434no—
1565C22×C4—438no—
1566C22×C4—434no—
1567C22×C4—438no—
1568C22×C4—438no—
1569C22×C4—438no—
1570C22×C4—1724no—
1571C22×C4—1724no—
1572C22×C4C23×D4311yescharacteristic
1573C22×C4C23×D4311yescharacteristic
1574C22×C4C23×D4312yes—
1575C22×C4C23×D4311yescharacteristic
1576C22×C4C23×D4311yescharacteristic
1577C22×C4C23×D4311yescharacteristic
1578C22×C4C23×D4311yescharacteristic
1579C22×C4C23×D4311yescharacteristic
1580C22×C4C23×D4311yescharacteristic
1581C22×C4C23×D4311yescharacteristic
1582C22×C4C23×D4311yescharacteristic
1583C22×C4C23×D4314yes—
1584C22×C4C23×D4311yescharacteristic
1585C22×C4C23×D4311yescharacteristic
1586C22×C4C23×D4311yescharacteristic
1587C22×C4C23×D4311yescharacteristic
1588C22×C4C23×D4311yescharacteristic
1589C22×C4C23×D4312yes—
1590C22×C4C23×D4311yescharacteristic
1591C22×C4C23×D4311yescharacteristic
1592C22×C4C23×D4311yescharacteristic
1593C22×C4C23×D4311yescharacteristic
1594C22×C4C23×D4311yescharacteristic
1595C22×C4C23×D4311yescharacteristic
1596C22×C4C23×D4314yes—
1597C22×C4C23×D4312yes—
1598C22×C4C23×D4311yescharacteristic
1599C22×C4C23×D4311yescharacteristic
1600C22×C4C23×D4311yescharacteristic
1601C22×C4C23×D4311yescharacteristic
1602C22×C4C23×D4311yescharacteristic
1603C22×C4C23×D4311yescharacteristic
1604C22×C4C23×D4311yescharacteristic
1605C4⋊C4—434no—
1606C4⋊C4—434no—
1607C4⋊C4—432no—
1608C4⋊C4—434no—
1609C4⋊C4—434no—
1610C4⋊C4—432no—
1611C4⋊C4—434no—
1612C4⋊C4—432no—
1613C4⋊C4—432no—
1614C4⋊C4—434no—
1615C4⋊C4—434no—
1616C4⋊C4—434no—
1617C4⋊C4—438no—
1618C4⋊C4—438no—
1619C4⋊C4—438no—
1620C4⋊C4—438no—
1621C4⋊C4—438no—
1622C4⋊C4—438no—
1623C4⋊C4C23×D4312yes—
1624C4⋊C4C23×D4312yes—
1625C4⋊C4C23×D4314yes—
1626C4⋊C4C23×D4312yes—
1627C4⋊C4C23×D4312yes—
1628C4⋊C4C23×D4314yes—
1629C4⋊C4C23×D4314yes—
1630C4⋊C4C23×D4314yes—
1631C22⋊C4—434no—
1632C22⋊C4—434no—
1633C22⋊C4—434no—
1634C22⋊C4—434no—
1635C22⋊C4—434no—
1636C22⋊C4—438no—
1637C22⋊C4—434no—
1638C22⋊C4—438no—
1639C22⋊C4—438no—
1640C22⋊C4—438no—
1641C22⋊C4—434no—
1642C22⋊C4—438no—
1643C22⋊C4—438no—
1644C22⋊C4—438no—
1645C22⋊C4—438no—
1646C22⋊C4—438no—
1647C22⋊C4—438no—
1648C22⋊C4—438no—
1649C22⋊C4—438no—
1650C22⋊C4—438no—
1651C22⋊C4—434no—
1652C22⋊C4—434no—
1653C22⋊C4—434no—
1654C22⋊C4—438no—
1655C22⋊C4C23×D4314yes—
1656C22⋊C4C23×D4314yes—
1657C22⋊C4C23×D4314yes—
1658C22⋊C4C23×D4314yes—
1659C22⋊C4C23×D4314yes—
1660C22⋊C4C23×D4314yes—
1661C22⋊C4C23×D4314yes—
1662C22⋊C4C23×D4314yes—
1663C22⋊C4C23×D4314yes—
1664C22⋊C4C23×D4314yes—
1665C42—434no—
1666C42—434no—
1667C42—438no—
1668C42—438no—
1669C42C23×D4314yes—
1670C42C23×D4314yes—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—24no—
1684C23—41no—
1685C23—41no—
1686C23—41no—
1687C23—41no—
1688C23—41no—
1689C23—41no—
1690C23—41no—
1691C23—41no—
1692C23—42no—
1693C23—42no—
1694C23—416no—
1695C23—438no—
1696C23—434no—
1697C23—868no—
1698C23—864no—
1699C23—868no—
1700C23—868no—
1701C23—34416no—
1702C23—1722no—
1703C23—1724no—
1704C23—1724no—
1705C23—1724no—
1706C23—1724no—
1707C23—1722no—
1708C23—1724no—
1709C23—1724no—
1710C23—1728no—
1711C23—1728no—
1712C23—1728no—
1713C23#1306337114yescomplemented
1714C23C24×D4314yes—
1715C23C24×D4311yescharacteristic
1716C23C24×D4311yescharacteristic
1717C23C24×D4311yescharacteristic
1718C23C24×D4311yescharacteristic
1719C23C24×D4311yescharacteristic
1720C23C24×D4311yescharacteristic
1721C23C24×D4311yescharacteristic
1722Q8—24no—
1723Q8—42no—
1724Q8—864no—
1725Q8—1722no—
1726Q8—1728no—
1727D4—28no—
1728D4—28no—
1729D4—28no—
1730D4—28no—
1731D4—24no—
1732D4—42no—
1733D4—44no—
1734D4—44no—
1735D4—868no—
1736D4—8616no—
1737D4—8616no—
1738D4—868no—
1739D4—868no—
1740D4—868no—
1741D4—868no—
1742D4—868no—
1743D4—864no—
1744D4—1724no—
1745D4—1724no—
1746D4—1728no—
1747D4—1728no—
1748D4—1722no—
1749D4—1728no—
1750D4—1728no—
1751D4—1728no—
1752D4—1728no—
1753D4—1728no—
1754D4—1728no—
1755D4—1724no—
1756D4—1728no—
1757D4—1724no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—28no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—42no—
1788C2×C4—44no—
1789C2×C4—42no—
1790C2×C4—434no—
1791C2×C4—434no—
1792C2×C4—434no—
1793C2×C4—438no—
1794C2×C4—868no—
1795C2×C4—864no—
1796C2×C4—868no—
1797C2×C4—1724no—
1798C2×C4—1728no—
1799C2×C4—1728no—
1800C2×C4—1728no—
1801C2×C4—1728no—
1802C2×C4—1724no—
1803C2×C4—1724no—
1804C2×C4—1722no—
1805C2×C4—1728no—
1806C2×C4—1722no—
1807C2×C4#1306337014yescomplemented
1808C2×C4C24×D4311yescharacteristic
1809C2×C4C24×D4314yes—
1810C2×C4C24×D4314yes—
1811C2×C4C24×D4311yescharacteristic
1812C2×C4C24×D4314yes—
1813C2×C4C24×D4311yescharacteristic
1814C2×C4C24×D4311yescharacteristic
1815C2×C4C24×D4311yescharacteristic
1816C2×C4C24×D4311yescharacteristic
1817C2×C4C24×D4311yescharacteristic
1818C2×C4C24×D4311yescharacteristic
1819C22—28no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—21no—
1831C22—21no—
1832C22—24no—
1833C22—24no—
1834C22—21no—
1835C22—21no—
1836C22—24no—
1837C22—21no—
1838C22—21no—
1839C22—44no—
1840C22—44no—
1841C22—44no—
1842C22—44no—
1843C22—44no—
1844C22—44no—
1845C22—84no—
1846C22—864no—
1847C22—868no—
1848C22—864no—
1849C22—868no—
1850C22—868no—
1851C22—864no—
1852C22—3448no—
1853C22—3448no—
1854C22—3448no—
1855C22—3444no—
1856C22—6888no—
1857C22C2×#1306337012yes—
1858C22C2×#1306337112yes—
1859C22C2×#1306337112yes—
1860C22C2×#1306337112yes—
1861C22#1458373512yes—
1862C22C25×D4311yescharacteristic
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—24no—
1870C4—24no—
1871C4—24no—
1872C4—864no—
1873C4—868no—
1874C4—864no—
1875C4—864no—
1876C4C2×#1306337012yes—
1877C4C2×#1306337012yes—
1878C2—22no—
1879C2—22no—
1880C2—22no—
1881C2—22no—
1882C2—22no—
1883C2—41no—
1884C2—41no—
1885C2—44no—
1886C2—1728no—
1887C2—1724no—
1888C2C22×#1306337011yescharacteristic
1889C2C22×#1306337111yescharacteristic
1890C2C2×#1458373511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC2×C43×#525C2
hypercenterC2×#525D43
hypocenterC43#62818
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #19148911C2semidirect
2. #19148903C2semidirect
3. #19148834C2semidirect
4. #19148830C2semidirect
5. #19148824C2semidirect
6. #19148822C2semidirect
7. #19148789C2semidirect
8. #19148779C2semidirect
9. #19148627C2semidirect
10. #19148615C2semidirect
11. #19148436C2semidirect
12. #19148434C2semidirect
13. #19148359C2semidirect
14. #19148352C2semidirect
15. #19148332C2semidirect
16. #19148330C2semidirect
17. #19148301C2semidirect
18. #19148278C2semidirect
19. #19148264C2semidirect
20. #19148256C2semidirect
21. #19148228C2semidirect
22. #19148224C2semidirect
23. C2×#14583410C2semidirect
24. C22×#13063299C2semidirect
25. C2×C43×#525C2semidirect
26. C2×#13063371C22semidirect
27. C2×#13063370C22semidirect
28. C22×#10621898C22semidirect
29. C23×D172C22semidirect
30. C23×C22⋊D43C22semidirect
31. #14583646C22semidirect
32. #14583645C22semidirect
33. #14583639C22semidirect
34. #14583637C22semidirect
35. #14583614C22semidirect
36. #14583612C22semidirect
37. #14583607C22semidirect
38. #14583606C22semidirect
39. #14583601C22semidirect
40. #14583598C22semidirect
41. #14583597C22semidirect
42. #14583597C22semidirect
43. #14583595C22semidirect
44. #14583595C22semidirect
45. #14583595C22semidirect
46. #14583593C22semidirect
47. #14583591C22semidirect
48. #14583589C22semidirect
49. #14583578C22semidirect
50. #14583576C22semidirect
51. #14583573C22semidirect
52. #14583572C22semidirect
53. #14583570C22semidirect
54. #14583568C22semidirect
55. #14583560C22semidirect
56. #14583558C22semidirect
57. #14583553C22semidirect
58. #14583553C22semidirect
59. #14583550C22semidirect
60. #14583549C22semidirect
61. #14583545C22semidirect
62. #14583545C22semidirect
63. #14583545C22semidirect
64. #14583544C22semidirect
65. #14583544C22semidirect
66. #14583541C22semidirect
67. #14583540C22semidirect
68. #14583540C22semidirect
69. #14583539C22semidirect
70. #14583539C22semidirect
71. #14583539C22semidirect
72. #14583538C22semidirect
73. #14583537C22semidirect
74. #14583537C22semidirect
75. #14583536C22semidirect
76. #14583536C22semidirect
77. D4×D172C22semidirect
78. D4×D172C22semidirect
79. D4×D172C22semidirect
80. #14583533C22semidirect
81. #14583533C22semidirect
82. D4×C22⋊D43C22semidirect
83. D4×C22⋊D43C22semidirect
84. D4×C22⋊D43C22semidirect
85. #14583531C22semidirect
86. #14583531C22semidirect
87. #14583527C22semidirect
88. #14583524C22semidirect
89. #14583522C22semidirect
90. #14583520C22semidirect
91. #14583504C22semidirect
92. #14583502C22semidirect
93. #14583501C22semidirect
94. #14583500C22semidirect
95. #14583498C22semidirect
96. #14583496C22semidirect
97. #14583493C22semidirect
98. #14583489C22semidirect
99. #14583489C22semidirect
100. #14583487C22semidirect
101. #14583486C22semidirect
102. #14583485C22semidirect
103. #14583482C22semidirect
104. #14583482C22semidirect
105. #14583480C22semidirect
106. #14583479C22semidirect
107. #14583477C22semidirect
108. #14583477C22semidirect
109. #14583476C22semidirect
110. #14583468C22semidirect
111. #14583465C22semidirect
112. #14583464C22semidirect
113. #14583463C22semidirect
114. #14583463C22semidirect
115. #14583461C22semidirect
116. #14583461C22semidirect
117. #14583460C22semidirect
118. #14583459C22semidirect
119. #14583458C22semidirect
120. #14583457C22semidirect
121. #14583457C22semidirect
122. #14583449C22semidirect
123. #14583444C22semidirect
124. #14583435C22semidirect
125. #14583433C22semidirect
126. #14583412C22semidirect
127. #14583410C22semidirect
128. #14583410C22semidirect
129. #14583410C22semidirect
130. #14583410C22semidirect
131. #14583410C22semidirect
132. #14583410C22semidirect
133. #14583410C22semidirect
134. #14583410C22semidirect
135. #14583410C22semidirect
136. #14583405C22semidirect
137. C2×#13063308C22semidirect
138. C2×#13063304C22semidirect
139. C2×#13063304C22semidirect
140. C2×#13063299C22semidirect
141. C2×#13063299C22semidirect
142. C2×#13063299C22semidirect
143. C2×#13063299C22semidirect
144. C2×#13063299C22semidirect
145. C2×#13063299C22semidirect
146. C2×#13063299C22semidirect
147. C2×#13063299C22semidirect
148. C2×#13063299C22semidirect
149. C2×#13063299C22semidirect
150. C2×#13063299C22semidirect
151. C2×#13063299C22semidirect
152. C2×#13063299C22semidirect
153. C2×#13063299C22semidirect
154. C2×#13063299C22semidirect
155. #121×D43C22semidirect
156. C2×#13063294C22semidirect
157. #120×D43C22semidirect
158. #14583382C22semidirect
159. #14583379C22semidirect
160. #14583373C22semidirect
161. #14583372C22semidirect
162. #14583371C22semidirect
163. C2×C4×C22⋊D43C22semidirect
164. C2×C4×C22⋊D43C22semidirect
165. C2×#13063284C22semidirect
166. C22×C4⋊Dic43C22semidirect
167. C22×(C2×D43)⋊C4C22semidirect
168. C22×#41×C43C22semidirect
169. C24×C4×C43C22semidirect
170. C43×#525C22semidirect
171. C43×#525C22semidirect
172. C43×#525C22semidirect
173. C43×#525C22semidirect
174. C43×#525C22semidirect
175. C43×#525C22semidirect
176. C43×#525C22semidirect
177. C43×#525C22semidirect
178. C2×#123×C43C22semidirect
179. C2×C22⋊Q8×C43C22semidirect
180. C2×C22⋊Q8×C43C22semidirect
181. C2×#121×C43C22semidirect
182. C2×#121×C43C22semidirect
183. C2×#120×C43C22semidirect
184. C2×C4×D4×C43C22semidirect
185. C2×C4×D4×C43C22semidirect
186. C2×#117×C43C22semidirect
190. C2×#10621902C23semidirect
194. C2×#10621898C23semidirect
195. C2×#10621898C23semidirect
196. C2×#10621898C23semidirect
197. C2×#10621898C23semidirect
199. C2×#10621900C23semidirect
200. C22×Dic86C23semidirect
208. C22×D172C23semidirect
209. C22×D172C23semidirect
220. C22×C22⋊D43C23semidirect
224. C2×D4×D43C23semidirect
225. C2×D4×D43C23semidirect
227. C22×C4×D43C23semidirect
228. #13063325C23semidirect
229. #13063324C23semidirect
230. #13063322C23semidirect
231. #13063321C23semidirect
232. #13063321C23semidirect
233. #13063321C23semidirect
234. #13063320C23semidirect
235. #13063320C23semidirect
236. #13063320C23semidirect
237. #13063320C23semidirect
238. #13063319C23semidirect
239. #13063318C23semidirect
240. #13063317C23semidirect
241. #13063316C23semidirect
242. #13063316C23semidirect
243. #13063315C23semidirect
244. #13063314C23semidirect
245. #13063314C23semidirect
246. #13063313C23semidirect
247. #13063313C23semidirect
248. #13063311C23semidirect
249. #13063311C23semidirect
250. #13063311C23semidirect
251. #13063311C23semidirect
252. #13063310C23semidirect
253. #13063310C23semidirect
254. #13063310C23semidirect
255. #13063310C23semidirect
256. #13063310C23semidirect
258. #13063309C23semidirect
259. #13063309C23semidirect
260. #13063309C23semidirect
263. #13063308C23semidirect
264. #13063308C23semidirect
265. #13063308C23semidirect
266. #13063308C23semidirect
267. #13063307C23semidirect
268. #13063307C23semidirect
269. #13063307C23semidirect
270. #13063307C23semidirect
272. #13063305C23semidirect
273. #13063305C23semidirect
278. #13063304C23semidirect
279. #13063304C23semidirect
280. #13063304C23semidirect
281. #13063304C23semidirect
282. #13063304C23semidirect
283. #13063303C23semidirect
284. #13063303C23semidirect
287. #13063302C23semidirect
288. #13063301C23semidirect
289. #13063301C23semidirect
290. #13063300C23semidirect
291. #13063300C23semidirect
292. #13063300C23semidirect
293. #13063300C23semidirect
294. #13063300C23semidirect
315. #13063299C23semidirect
316. #13063299C23semidirect
317. #13063299C23semidirect
318. #13063299C23semidirect
319. #13063299C23semidirect
320. #13063299C23semidirect
321. #13063299C23semidirect
322. #13063299C23semidirect
323. #13063299C23semidirect
324. #13063299C23semidirect
325. #13063298C23semidirect
326. #13063298C23semidirect
327. #13063298C23semidirect
328. #13063298C23semidirect
329. #13063298C23semidirect
330. #13063298C23semidirect
331. #13063298C23semidirect
334. #13063297C23semidirect
335. #13063297C23semidirect
336. #13063297C23semidirect
337. #13063297C23semidirect
338. #13063297C23semidirect
339. #13063296C23semidirect
340. #13063296C23semidirect
341. #13063296C23semidirect
345. #13063295C23semidirect
346. #13063295C23semidirect
347. #13063295C23semidirect
348. #13063295C23semidirect
353. #13063294C23semidirect
357. #13063293C23semidirect
358. #13063293C23semidirect
359. #13063293C23semidirect
360. Q8×Dic43C23semidirect
361. C4×Dic86C23semidirect
362. C4×D172C23semidirect
363. C4×D172C23semidirect
364. C4×D172C23semidirect
365. C4×D172C23semidirect
368. D4×Dic43C23semidirect
369. #13063287C23semidirect
370. #13063287C23semidirect
371. #13063287C23semidirect
376. C4×C22⋊D43C23semidirect
377. C4×C22⋊D43C23semidirect
378. C4×C22⋊D43C23semidirect
379. C4×C22⋊D43C23semidirect
380. C4×C22⋊D43C23semidirect
381. C4×C22⋊D43C23semidirect
382. C4×C22⋊D43C23semidirect
385. (C22⋊D43)⋊C4C23semidirect
386. (C22⋊D43)⋊C4C23semidirect
387. (C22⋊D43)⋊C4C23semidirect
390. #13063284C23semidirect
391. #13063284C23semidirect
392. #13063284C23semidirect
393. #13063283C23semidirect
394. #13063283C23semidirect
395. #13063282C23semidirect
403. C2×C4⋊Dic43C23semidirect
404. C2×C4⋊Dic43C23semidirect
405. C2×C4⋊Dic43C23semidirect
406. C2×Dic43⋊C4C23semidirect
407. C2×Dic43⋊C4C23semidirect
408. C4⋊C4×D43C23semidirect
418. C2×(C2×D43)⋊C4C23semidirect
419. C2×(C2×D43)⋊C4C23semidirect
420. C2×(C2×D43)⋊C4C23semidirect
424. C22⋊C4×D43C23semidirect
425. C2×C4×Dic43C23semidirect
430. C2×#41×C43C23semidirect
431. C2×#41×C43C23semidirect
432. C22×Q8×C43C23semidirect
436. C22×D4×C43C23semidirect
452. C23×C4×C43C23semidirect
455. #123×C43C23semidirect
456. #123×C43C23semidirect
461. C22⋊Q8×C43C23semidirect
462. C22⋊Q8×C43C23semidirect
463. C22⋊Q8×C43C23semidirect
464. C22⋊Q8×C43C23semidirect
469. #121×C43C23semidirect
470. #121×C43C23semidirect
471. #121×C43C23semidirect
472. #121×C43C23semidirect
481. C4×D4×C43C23semidirect
482. C4×D4×C43C23semidirect
483. C4×D4×C43C23semidirect
484. C4×D4×C43C23semidirect
487. #117×C43C23semidirect
488. #117×C43C23semidirect
489. C2×C4⋊C4×C43C23semidirect
490. C2×C4⋊C4×C43C23semidirect
491. C2×C4⋊C4×C43C23semidirect
492. C2×C4⋊C4×C43C23semidirect
496. C2×C22⋊C4×C43C23semidirect
497. C2×C22⋊C4×C43C23semidirect
498. C2×C42×C43C23semidirect
749. C23×C43H(5,𝔽2)semidirect
818. C2×C4×C43H(5,𝔽2)semidirect
956. C2×#525D43semidirect
974. C22×#41C2×D43semidirect
977. C24×C4C2×D43semidirect
1084. #525C2×D43semidirect
1085. #525C2×D43semidirect
1086. #525C2×D43semidirect
1087. #525C2×D43semidirect
1088. #525C2×D43semidirect
1089. #525C2×D43semidirect
1090. #525C2×D43semidirect
1091. #525C2×D43semidirect
1093. C2×#123C2×D43semidirect
1096. C2×C22⋊Q8C2×D43semidirect
1097. C2×C22⋊Q8C2×D43semidirect
1114. C2×#121C2×D43semidirect
1115. C2×#121C2×D43semidirect
1118. C2×#120C2×D43semidirect
1126. C2×C4×D4C2×D43semidirect
1127. C2×C4×D4C2×D43semidirect
1129. C2×#117C2×D43semidirect
1132. C43#62818semidirect
1150. C2×#41C22×D43semidirect
1151. C2×#41C22×D43semidirect
1153. C22×Q8C22×D43semidirect
1182. C22×D4C22×D43semidirect
1200. C23×C4C22×D43semidirect
1247. #123C22×D43semidirect
1248. #123C22×D43semidirect
1271. C22⋊Q8C22×D43semidirect
1272. C22⋊Q8C22×D43semidirect
1273. C22⋊Q8C22×D43semidirect
1274. C22⋊Q8C22×D43semidirect
1331. #121C22×D43semidirect
1332. #121C22×D43semidirect
1333. #121C22×D43semidirect
1334. #121C22×D43semidirect
1389. C4×D4C22×D43semidirect
1390. C4×D4C22×D43semidirect
1391. C4×D4C22×D43semidirect
1392. C4×D4C22×D43semidirect
1404. #117C22×D43semidirect
1405. #117C22×D43semidirect
1418. C2×C4⋊C4C22×D43semidirect
1419. C2×C4⋊C4C22×D43semidirect
1420. C2×C4⋊C4C22×D43semidirect
1421. C2×C4⋊C4C22×D43semidirect
1441. C2×C22⋊C4C22×D43semidirect
1442. C2×C22⋊C4C22×D43semidirect
1444. C2×C42C22×D43semidirect
1713. C23#13063371semidirect
1807. C2×C4#13063370semidirect

Maximal subgroups

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

subgroupindex
#191489112
#191489032
#191488342
#191488302
#191488242
#191488222
#191487892
#191487792
#191486272
#191486152
#191484362
#191484342
#191483592
#191483522
#191483322
#191483302
#191483012
#191482782
#191482642
#191482562
#191482282
#191482242
C2×#145834102
C22×#130632992
C2×C43×#5252
#6281843