Finite Group Databasebeta

← #25979765

Subgroups — #25979765

Order 11008.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148629C211yesmaximal, characteristic, complemented
2#19147615C211yesmaximal, characteristic, complemented
3#19147549C211yesmaximal, characteristic, complemented
4#19147416C211yesmaximal, characteristic, complemented
5#19147302C211yesmaximal, characteristic, complemented
6#19147195C211yesmaximal, characteristic, complemented
7#19147140C211yesmaximal, characteristic, complemented
8#19147104C211yesmaximal, characteristic, complemented
9#19146820C211yesmaximal, characteristic, complemented
10#19146796C211yesmaximal, characteristic, complemented
11#19146751C211yesmaximal, characteristic, complemented
12#19146730C211yesmaximal, characteristic, complemented
13#19146610C211yesmaximal, characteristic, complemented
14#19146571C211yesmaximal, characteristic, complemented
15#19146195C211yesmaximal, characteristic, complemented
16#19146076C211yesmaximal, characteristic, complemented
17#19146076C211yesmaximal, characteristic, complemented
18#19145272C211yesmaximal, characteristic, complemented
19#19145224C211yesmaximal, characteristic, complemented
20#19145191C211yesmaximal, characteristic, complemented
21#19144842C211yesmaximal, characteristic, complemented
22#19144838C211yesmaximal, characteristic, complemented
23#19144794C211yesmaximal, characteristic, complemented
24#19144773C211yesmaximal, characteristic, complemented
25#19144746C211yesmaximal, characteristic, complemented
26#19144729C211yesmaximal, characteristic, complemented
27#19143582C211yesmaximal, characteristic, complemented
28#19143445C211yesmaximal, characteristic, complemented
29#19143423C211yesmaximal, characteristic, complemented
30C4×#13063350C211yesmaximal, characteristic, complemented
31C43×#3521C211yesmaximal, characteristic, complemented
32C2×#13063350C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C22×#10621882C2211yescharacteristic
35#14583614C2211yescharacteristic
36#14583609C2211yescharacteristic, complemented
37#14583602—21no—
38#14583595C2211yescharacteristic
39#14583595C2211yescharacteristic, complemented
40#14583571C2211yescharacteristic, complemented
41#14583542—21no—
42#14583541—21no—
43#14583541—21no—
44D4×D172C2211yescharacteristic
45D4×D172C2211yescharacteristic
46D4×D172C2211yescharacteristic, complemented
47#14583504C2211yescharacteristic
48#14583504C2211yescharacteristic, complemented
49#14583488—21no—
50#14583488—21no—
51#14583449C2211yescharacteristic, complemented
52#14583412—21no—
53#121×D43—21no—
54#14583373C2211yescharacteristic
55#14583373C2211yescharacteristic, complemented
56C2×C4×D172C2211yescharacteristic, complemented
57#14583309C2211yescharacteristic, complemented
58#14583305C2211yescharacteristic, complemented
59#14583298C2211yescharacteristic, complemented
60#14583289C2211yescharacteristic, complemented
61#14583289C2211yescharacteristic, complemented
62#14583273C2211yescharacteristic, complemented
63#14583267C2211yescharacteristic, complemented
64#14583265C2211yescharacteristic, complemented
65#14583265C2211yescharacteristic, complemented
66#14583258C2211yescharacteristic, complemented
67#14583253C2211yescharacteristic, complemented
68#14583247C2211yescharacteristic, complemented
69#14583237C2211yescharacteristic, complemented
70#14583237C2211yescharacteristic, complemented
71#14583237C2211yescharacteristic, complemented
72#14583227C2211yescharacteristic, complemented
73#14583223C2211yescharacteristic, complemented
74#14583223C2211yescharacteristic, complemented
75#14583223C2211yescharacteristic, complemented
76#14583223C2211yescharacteristic, complemented
77#14583220C2211yescharacteristic, complemented
78#14583217C2211yescharacteristic, complemented
79#14583212C2211yescharacteristic, complemented
80#14583210C2211yescharacteristic, complemented
81#14583206C2211yescharacteristic, complemented
82#14583199C2211yescharacteristic, complemented
83#14583199C2211yescharacteristic, complemented
84#14583199C2211yescharacteristic, complemented
85#14583196C2211yescharacteristic, complemented
86#14583196C2211yescharacteristic, complemented
87#14583196C2211yescharacteristic, complemented
88#14583196C2211yescharacteristic, complemented
89#14583186C2211yescharacteristic, complemented
90#14583184C2211yescharacteristic, complemented
91#14583179C2211yescharacteristic, complemented
92#14583176C2211yescharacteristic, complemented
93#14583150C2211yescharacteristic, complemented
94#14583150C2211yescharacteristic, complemented
95#14583150C2211yescharacteristic, complemented
96#14583147C2211yescharacteristic, complemented
97#14583147C2211yescharacteristic, complemented
98#14583147C2211yescharacteristic, complemented
99#14583147C2211yescharacteristic, complemented
100#14583147C2211yescharacteristic, complemented
101#14583133C2211yescharacteristic, complemented
102#14583130C2211yescharacteristic, complemented
103#14583130C2211yescharacteristic, complemented
104#14583130C2211yescharacteristic, complemented
105#14583111C2211yescharacteristic
106#14583111C2211yescharacteristic
107#14583111C2211yescharacteristic, complemented
108#14583111C2211yescharacteristic, complemented
109#14583101C2211yescharacteristic, complemented
110#14583101C2211yescharacteristic, complemented
111#14583099C2211yescharacteristic, complemented
112#14583099C2211yescharacteristic, complemented
113#14583094C2211yescharacteristic, complemented
114#14583094C2211yescharacteristic, complemented
115#14583094C2211yescharacteristic, complemented
116#14583094C2211yescharacteristic, complemented
117#14583049C2211yescharacteristic
118#14583049C2211yescharacteristic
119#14583049C2211yescharacteristic, complemented
120#14583049C2211yescharacteristic, complemented
121#14583044C2211yescharacteristic, complemented
122#14583044C2211yescharacteristic, complemented
123#14583044C2211yescharacteristic, complemented
124#14583044C2211yescharacteristic, complemented
125#14583033C2211yescharacteristic, complemented
126#14583033C2211yescharacteristic, complemented
127#14583032C2211yescharacteristic
128#14583032C2211yescharacteristic
129#14583030C2211yescharacteristic, complemented
130#14583030C2211yescharacteristic, complemented
131#14583009C2211yescharacteristic
132#14583009C2211yescharacteristic
133#14583009C2211yescharacteristic
134#14583009C2211yescharacteristic
135#14583009C2211yescharacteristic, complemented
136#14583009C2211yescharacteristic, complemented
137#14583009C2211yescharacteristic, complemented
138#14583009C2211yescharacteristic, complemented
139#14583009C2211yescharacteristic, complemented
140#14582997C2211yescharacteristic, complemented
141#14582997C2211yescharacteristic, complemented
142#14582997C2211yescharacteristic, complemented
143#14582997C2211yescharacteristic, complemented
144#14582997C2211yescharacteristic, complemented
145#14582997C2211yescharacteristic, complemented
146#14582997C2211yescharacteristic, complemented
147C4×#10621884C2211yescharacteristic, complemented
148C4×#10621884C2211yescharacteristic, complemented
149C4×#10621884C2211yescharacteristic, complemented
150C4×#10621884C2211yescharacteristic, complemented
151C4×#10621884C2211yescharacteristic, complemented
152C4×#10621882C2211yescharacteristic
153C4×#10621882C2211yescharacteristic
154C4×#10621882C2211yescharacteristic, complemented
155C4×#10621882C2211yescharacteristic, complemented
156C4×#10621882C2211yescharacteristic, complemented
157C4×#10621882C2211yescharacteristic, complemented
158C4×#10621882C2211yescharacteristic, complemented
159#14582977C2211yescharacteristic, complemented
160#14582977C2211yescharacteristic, complemented
161#14582971C2211yescharacteristic, complemented
162#14582971C2211yescharacteristic, complemented
163#14582971C2211yescharacteristic, complemented
164#14582971C2211yescharacteristic, complemented
165#14582960C2211yescharacteristic, complemented
166#14582960C2211yescharacteristic, complemented
167#14582956C2211yescharacteristic, complemented
168#14582942C2211yescharacteristic, complemented
169#14582939C2211yescharacteristic, complemented
170#14582935C2211yescharacteristic, complemented
171#14582904C2211yescharacteristic, complemented
172#14582903C2211yescharacteristic
173#14582903C2211yescharacteristic, complemented
174#14582900C2211yescharacteristic, complemented
175#14582895C2211yescharacteristic, complemented
176C2×#13063245C2211yescharacteristic, complemented
177#14582855C2211yescharacteristic, complemented
178#14582855C2211yescharacteristic, complemented
179C4×#10621877C2211yescharacteristic, complemented
180C43×#556C2211yescharacteristic, complemented
181C43×#556C2211yescharacteristic, complemented
182C43×#554C2211yescharacteristic, complemented
183C43×#553—21no—
184C43×#553C2211yescharacteristic, complemented
185C43×#552—21no—
186C43×#552C2211yescharacteristic, complemented
187C43×#551—21no—
188C43×#551—21no—
189C43×#547C2211yescharacteristic, complemented
190C43×#546C2211yescharacteristic, complemented
191C43×#546C2211yescharacteristic, complemented
192C43×#542C2211yescharacteristic, complemented
193C43×#541C2211yescharacteristic, complemented
194C43×#539—21no—
195C43×#538—21no—
196C43×#529—21no—
197C43×#529C2211yescharacteristic
198C43×#529C2211yescharacteristic, complemented
199C2×#126×C43—21no—
200C43×#520C2211yescharacteristic, complemented
201C43×#518C2211yescharacteristic, complemented
202C4×#41×C43C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621898—21no—
205C22×D172C2311yescharacteristic
206C22×D172C2311yescharacteristic
207C22×D172C2311yescharacteristic
208C2×D4×D43—21no—
209C2×D4×D43—21no—
210C2×D4×D43—21no—
211C22×C4×D43—21no—
212#13063350—24no—
213#13063350—24no—
214C2×#10621884C2311yescharacteristic
215C2×#10621884C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621882—24no—
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621882C2311yescharacteristic
231C2×#10621877C2311yescharacteristic
232C2×#10621877C2311yescharacteristic
233C2×#10621877C2311yescharacteristic
234C2×#10621877C2311yescharacteristic
235C22×C43⋊C8C2311yescharacteristic
236C22×C43⋊C8C2311yescharacteristic
237#13063325C2311yescharacteristic
238#13063322C2311yescharacteristic
239#13063322C2311yescharacteristic
240#13063322C2311yescharacteristic
241#13063320—21no—
242#13063320—21no—
243#13063317C2311yescharacteristic
244#13063317C2311yescharacteristic
245#13063313—21no—
246#13063311—21no—
247#13063311—21no—
248#13063310—21no—
249#13063310—21no—
250#13063310—21no—
251#13063310—21no—
252#13063307—21no—
253#13063307—21no—
254#13063303—21no—
255#13063303—21no—
256#13063301—21no—
257#13063300—21no—
258#13063300—21no—
259#13063300—21no—
260#13063300—21no—
261#13063300—21no—
262#13063300—21no—
263#13063299—21no—
264#13063299C2311yescharacteristic
265#13063299C2311yescharacteristic
266#13063299C2311yescharacteristic
267#13063299C2311yescharacteristic
268#13063299C2311yescharacteristic
269#13063299C2311yescharacteristic
270#13063298—21no—
271#13063298—21no—
272#13063298—21no—
273#13063298—21no—
274#13063297—21no—
275#13063297—21no—
276#13063296—21no—
277#13063295—21no—
278#13063295—21no—
279#13063295—21no—
280#13063295—21no—
281#13063295—21no—
282#13063295—21no—
283C4×D172—21no—
284C4×D172—21no—
285C4×D172—21no—
286C4×D172C2311yescharacteristic
287C4×D172C2311yescharacteristic
288C4×D172C2311yescharacteristic
289C4×D172C2311yescharacteristic
290C4×D172C2311yescharacteristic
291C4×D172C2311yescharacteristic
292C4×D172C2311yescharacteristic
293C4×D172C2311yescharacteristic
294C4×D172C2311yescharacteristic
295C4×D172C2311yescharacteristic
296#13063287—21no—
297#13063287—21no—
298#13063287—21no—
299#13063287—21no—
300(C22⋊D43)⋊C4—21no—
301(C22⋊D43)⋊C4—21no—
302#13063284C2311yescharacteristic
303#13063284C2311yescharacteristic
304#13063283—21no—
305C2×C4⋊Dic43C2311yescharacteristic
306C4⋊C4×D43—21no—
307C2×(C2×D43)⋊C4—21no—
308C22⋊C4×D43—21no—
309C22⋊C4×D43—21no—
310C22⋊C4×D43—21no—
311C22⋊C4×D43—21no—
312#13063258C2311yescharacteristic
313#13063258C2311yescharacteristic
314#13063258C2311yescharacteristic
315#13063258C2311yescharacteristic
316#13063258C2311yescharacteristic
317#13063258C2311yescharacteristic
318#13063258C2311yescharacteristic
319#13063258C2311yescharacteristic
320#13063256C2311yescharacteristic
321#13063256C2311yescharacteristic
322#13063256C2311yescharacteristic
323#13063256C2311yescharacteristic
324#13063256C2311yescharacteristic
325#13063256C2311yescharacteristic
326#13063256C2311yescharacteristic
327#13063256C2311yescharacteristic
328C4⋊(C43⋊C8)C2311yescharacteristic
329C4⋊(C43⋊C8)C2311yescharacteristic
330C4⋊(C43⋊C8)C2311yescharacteristic
331C4⋊(C43⋊C8)C2311yescharacteristic
332C4⋊(C43⋊C8)C2311yescharacteristic
333C4⋊(C43⋊C8)C2311yescharacteristic
334#13063249C2311yescharacteristic
335#13063249C2311yescharacteristic
336#13063249C2311yescharacteristic
337#13063249C2311yescharacteristic
338#13063249C2311yescharacteristic
339#13063249C2311yescharacteristic
340#13063249C2311yescharacteristic
341#13063249C2311yescharacteristic
342#13063246C2311yescharacteristic
343#13063246C2311yescharacteristic
344#13063246C2311yescharacteristic
345#13063246C2311yescharacteristic
346#13063246C2311yescharacteristic
347#13063246C2311yescharacteristic
348#13063246C2311yescharacteristic
349#13063246C2311yescharacteristic
350#13063245C2311yescharacteristic
351#13063245C2311yescharacteristic
352#13063245C2311yescharacteristic
353#13063245C2311yescharacteristic
354#13063245C2311yescharacteristic
355#13063245C2311yescharacteristic
356#13063245C2311yescharacteristic
357#13063245C2311yescharacteristic
358#13063245C2311yescharacteristic
359#13063245C2311yescharacteristic
360#13063245C2311yescharacteristic
361#13063245C2311yescharacteristic
362#13063245C2311yescharacteristic
363#13063245C2311yescharacteristic
364#13063245C2311yescharacteristic
365#13063245C2311yescharacteristic
366C22⋊(C43⋊C8)C2311yescharacteristic
367C22⋊(C43⋊C8)C2311yescharacteristic
368C22⋊(C43⋊C8)C2311yescharacteristic
369C22⋊(C43⋊C8)C2311yescharacteristic
370C22⋊(C43⋊C8)C2311yescharacteristic
371C22⋊(C43⋊C8)C2311yescharacteristic
372#13063236C2311yescharacteristic
373#13063236C2311yescharacteristic
374#13063236C2311yescharacteristic
375#13063236C2311yescharacteristic
376#13063236C2311yescharacteristic
377#13063236C2311yescharacteristic
378C4×C43⋊C8C2311yescharacteristic
379C4×C43⋊C8C2311yescharacteristic
380C4×C43⋊C8C2311yescharacteristic
381C4×C43⋊C8C2311yescharacteristic
382C2×#41×C43C2311yescharacteristic
383C2×#41×C43C2311yescharacteristic
384C22×D4×C43C2311yescharacteristic
385C4⋊Q8×C43C2311yescharacteristic
386C4⋊Q8×C43C2311yescharacteristic
387#126×C43—21no—
388#126×C43—21no—
389#126×C43—21no—
390#126×C43—21no—
391#126×C43—21no—
392#126×C43—21no—
393#126×C43—21no—
394#126×C43—21no—
395#126×C43—21no—
396#126×C43—21no—
397#126×C43D411yescharacteristic
398#126×C43D411yescharacteristic
399#125×C43—21no—
400#125×C43—21no—
401#125×C43—21no—
402#125×C43D411yescharacteristic
403#125×C43C2311yescharacteristic
404#125×C43C2311yescharacteristic
405#124×C43—21no—
406#124×C43—21no—
407#124×C43D411yescharacteristic
408#124×C43C2311yescharacteristic
409#124×C43C2311yescharacteristic
410#123×C43—21no—
411#123×C43—21no—
412#123×C43—21no—
413#123×C43—21no—
414#123×C43—21no—
415#123×C43—21no—
416#123×C43—21no—
417#123×C43—21no—
418#123×C43D411yescharacteristic
419#123×C43D411yescharacteristic
420C22⋊Q8×C43—21no—
421C22⋊Q8×C43—21no—
422C22⋊Q8×C43—21no—
423C22⋊Q8×C43—21no—
424C22⋊Q8×C43—21no—
425C22⋊Q8×C43D411yescharacteristic
426C22⋊Q8×C43C2311yescharacteristic
427C22⋊Q8×C43C2311yescharacteristic
428C22⋊Q8×C43C2311yescharacteristic
429C22⋊Q8×C43C2311yescharacteristic
430#121×C43—21no—
431#121×C43—21no—
432#121×C43—21no—
433#121×C43—21no—
434#121×C43D411yescharacteristic
435#121×C43C2311yescharacteristic
436#121×C43C2311yescharacteristic
437#120×C43—21no—
438#120×C43—21no—
439C4×Q8×C43—21no—
440C4×Q8×C43C2311yescharacteristic
441C4×Q8×C43C2311yescharacteristic
442C4×Q8×C43C2311yescharacteristic
443C4×Q8×C43C2311yescharacteristic
444C4×Q8×C43C2311yescharacteristic
445C4×D4×C43—21no—
446C4×D4×C43—21no—
447C4×D4×C43—21no—
448C4×D4×C43—21no—
449C4×D4×C43—21no—
450C4×D4×C43—21no—
451C4×D4×C43—21no—
452C4×D4×C43—21no—
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462#117×C43—21no—
463#117×C43—21no—
464#117×C43—21no—
465#117×C43—21no—
466#117×C43—21no—
467#117×C43C2311yescharacteristic
468#117×C43C2311yescharacteristic
469#117×C43C2311yescharacteristic
470#117×C43C2311yescharacteristic
471C2×C4⋊C4×C43—21no—
472C2×C4⋊C4×C43—21no—
473C2×C4⋊C4×C43—21no—
474C2×C4⋊C4×C43C2311yescharacteristic
475C2×C22⋊C4×C43—21no—
476C2×C22⋊C4×C43—21no—
477C2×C22⋊C4×C43—21no—
478C2×C22⋊C4×C43—21no—
479C2×C42×C43—21no—
480C2×C42×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C23×D43—21no—
485#41×C43—22no—
486#41×C43—22no—
487#41×C43—41no—
488#41×C43—41no—
489C2×Q8×C43—21no—
490C2×Q8×C43C2×D411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
492C2×Q8×C43C2411yescharacteristic
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—22no—
499C2×D4×C43—41no—
500C2×D4×C43C2×D411yescharacteristic
501C2×D4×C43C2×D411yescharacteristic
502C2×D4×C43C2×D411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43—21no—
512C22×C4×C43—21no—
513C22×C4×C43—21no—
514C22×C4×C43C2×D411yescharacteristic
515C22×C4×C43C2×D411yescharacteristic
516C22×C4×C43C2411yescharacteristic
517C22×C4×C43C2411yescharacteristic
518C22×C4×C43C2411yescharacteristic
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C22×Dic43—21no—
526#10621902—82no—
527D4×D43—82no—
528D4×D43—82no—
529D4×D43—82no—
530#10621898—82no—
531C2×D172—21no—
532C2×D172—21no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—22no—
541C2×D172—22no—
542C2×D172—22no—
543C2×D172—41no—
544C2×D172—41no—
545C2×D172—41no—
546C2×D172C2411yescharacteristic
547C2×D172C2411yescharacteristic
548C2×D172C2411yescharacteristic
549C2×D172C2411yescharacteristic
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—82no—
561C2×Dic86—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43C2×D411yescharacteristic
579C4⋊C4×C43C2×D411yescharacteristic
580C4⋊C4×C43C2×D411yescharacteristic
581C4⋊C4×C43C2×D411yescharacteristic
582C4⋊C4×C43C2×D411yescharacteristic
583C4⋊C4×C43C2×D411yescharacteristic
584C4⋊C4×C43C2×D411yescharacteristic
585C4⋊C4×C43C2×D411yescharacteristic
586C4⋊C4×C43C2×D411yescharacteristic
587C4⋊C4×C43C2×D411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C4⋊C4×C43C2411yescharacteristic
591C4⋊C4×C43C2411yescharacteristic
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43—21no—
599C22⋊C4×C43—21no—
600C22⋊C4×C43—21no—
601C22⋊C4×C43—21no—
602C22⋊C4×C43—21no—
603C22⋊C4×C43—21no—
604C22⋊C4×C43—21no—
605C22⋊C4×C43—21no—
606C22⋊C4×C43—21no—
607C22⋊C4×C43—21no—
608C22⋊C4×C43—21no—
609C22⋊C4×C43—21no—
610C22⋊C4×C43C2×D411yescharacteristic
611C22⋊C4×C43C2×D411yescharacteristic
612C22⋊C4×C43C2×D411yescharacteristic
613C22⋊C4×C43C2×D411yescharacteristic
614C22⋊C4×C43C2×D411yescharacteristic
615C22⋊C4×C43C2×D411yescharacteristic
616C22⋊C4×C43C2×D411yescharacteristic
617C22⋊C4×C43C2×D411yescharacteristic
618C22⋊C4×C43C2×D411yescharacteristic
619C22⋊C4×C43C2×D411yescharacteristic
620C42×C43—21no—
621C42×C43—21no—
622C42×C43—21no—
623C42×C43—21no—
624C42×C43—21no—
625C42×C43—21no—
626C42×C43C2×D411yescharacteristic
627C42×C43C2×D411yescharacteristic
628C42×C43C2411yescharacteristic
629C42×C43C2411yescharacteristic
630C42×C43C2411yescharacteristic
631C42×C43C2411yescharacteristic
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634#10621884—22no—
635#10621884—22no—
636#10621884—22no—
637#10621884—22no—
638#10621884—41no—
639#10621884—41no—
640#10621884—41no—
641#10621884—41no—
642#10621882—22no—
643#10621882—22no—
644#10621882—22no—
645#10621882—22no—
646#10621882—22no—
647#10621882—41no—
648#10621882—41no—
649#10621882#4114yescomplemented
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666C4⋊Dic43—21no—
667C4⋊Dic43—21no—
668C4⋊Dic43C2411yescharacteristic
669C4⋊Dic43C2411yescharacteristic
670C4⋊Dic43C2411yescharacteristic
671C4⋊Dic43C2411yescharacteristic
672Dic43⋊C4—21no—
673Dic43⋊C4—21no—
674Dic43⋊C4—21no—
675Dic43⋊C4—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678#10621877—22no—
679#10621877—22no—
680#10621877—41no—
681#10621877—41no—
682C2×C43⋊C8—22no—
683C2×C43⋊C8—41no—
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687C2×C43⋊C8C2411yescharacteristic
688C2×C43⋊C8C2411yescharacteristic
689C2×C43⋊C8C2411yescharacteristic
690C2×C43⋊C8C2411yescharacteristic
691C2×C43⋊C8C2411yescharacteristic
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—42no—
695C23×C43—81no—
696C23×C43—81no—
697C23×C43C22×D411yescharacteristic
698C23×C43C22×D411yescharacteristic
699C23×C43C22×D411yescharacteristic
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—21no—
703C22×D43—21no—
704C22×D43—42no—
705C22×D43—42no—
706C22×D43—42no—
707C22×D43—42no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43—81no—
712C22×D43—81no—
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—21no—
716Q8×C43—21no—
717Q8×C43—41no—
718Q8×C43—81no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—41no—
723D4×C43—41no—
724D4×C43—41no—
725D4×C43—42no—
726D4×C43—42no—
727D4×C43—42no—
728D4×C43—81no—
729D4×C43—81no—
730D4×C43C2×#4112yes—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—41no—
744C2×C4×C43—41no—
745C2×C4×C43—42no—
746C2×C4×C43—42no—
747C2×C4×C43—81no—
748C2×C4×C43—81no—
749C2×C4×C43—81no—
750C2×C4×C43—81no—
751C2×C4×C43—81no—
752C2×C4×C43—81no—
753C2×C4×C43—81no—
754C2×C4×C43C22×D411yescharacteristic
755C2×C4×C43C22×D411yescharacteristic
756C2×C4×C43C22×D411yescharacteristic
757C2×C4×C43C22×D411yescharacteristic
758C2×C4×C43C22×D411yescharacteristic
759C2×C4×C43C22×D411yescharacteristic
760C2×C4×C43C22×D411yescharacteristic
761C2×C4×C43C22×D411yescharacteristic
762C2×C4×C43C22×D411yescharacteristic
763C2×C4×C43C22×D411yescharacteristic
764C2×C4×C43C22×D411yescharacteristic
765C2×C4×C43C2511yescharacteristic
766C22⋊D43—42no—
767C22⋊D43—42no—
768C22⋊D43—81no—
769C22⋊D43—81no—
770C22⋊D43—81no—
771C22⋊D43—81no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—81no—
777D172—21no—
778D172—21no—
779D172—21no—
780D172—21no—
781D172—21no—
782D172—21no—
783D172—21no—
784D172—42no—
785D172—42no—
786D172—42no—
787D172—42no—
788D172—81no—
789D172—81no—
790D172—81no—
791D172—81no—
792D172—81no—
793D172C2×#4112yes—
794C4×D43—42no—
795C4×D43—42no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803C4×D43—81no—
804Dic86—81no—
805C43⋊C8—21no—
806C43⋊C8—21no—
807C43⋊C8—21no—
808C43⋊C8—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8C2×#4112yes—
813#61506—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—21no—
818C22×C43—21no—
819C22×C43—21no—
820C22×C43—21no—
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—22no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—162no—
830C22×C43C23×D411yescharacteristic
831C2×D43—22no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—84no—
844C2×D43—162no—
845C2×D43—162no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—21no—
851C4×C43—21no—
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43—41no—
862C4×C43—41no—
863C4×C43C22×#4111yescharacteristic
864C4×C43#58511yescharacteristic
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869#3521D4311yescharacteristic, complemented
870#3519—431no—
871#3397—431no—
872#3389—431no—
873#3376—431no—
874#3366—431no—
875#3355—431no—
876#3350—431no—
877#3348—431no—
878#3324—431no—
879#3322—431no—
880#3319—431no—
881#3318—431no—
882#3310—431no—
883#3307—431no—
884#3272—431no—
885#3264—431no—
886#3264—431no—
887#3179—431no—
888#3174—431no—
889#3171—431no—
890#3123—431no—
891#3122—431no—
892#3119—431no—
893#3118—431no—
894#3115—431no—
895#3114—431no—
896#2967—431no—
897#2948—431no—
898#2946—431no—
899C4×AGL(1,ℤ/8)—431no—
900C2×C43—41no—
901C2×C43—41no—
902C2×C43—41no—
903C2×C43—42no—
904C2×C43—81no—
905C2×C43D4×#4111yescharacteristic
906C2×C43#358511yescharacteristic
907C2×C43#358511yescharacteristic
908D43—42no—
909D43—81no—
910D43—81no—
911D43—81no—
912C2×AGL(1,ℤ/8)—431no—
913C2×AGL(1,ℤ/8)—431no—
914C22×D8—431no—
915#556C2×D4311yescharacteristic, complemented
916#556C2×D4311yescharacteristic, complemented
917#555—431no—
918#554—431no—
919#554C2×D4311yescharacteristic, complemented
920#553—21no—
921#553—431no—
922#553—431no—
923#553—861no—
924#553C2×D4311yescharacteristic, complemented
925#552—21no—
926#552C2×D4311yescharacteristic, complemented
927#551—21no—
928#551—21no—
929#550—431no—
930#547C2×D4311yescharacteristic, complemented
931#546—861no—
932#546—861no—
933#546—861no—
934#546C2×D4311yescharacteristic, complemented
935#546C2×D4311yescharacteristic, complemented
936D42—431no—
937D42—431no—
938D42—431no—
939#542C2×D4311yescharacteristic, complemented
940#541C2×D4311yescharacteristic, complemented
941#540—431no—
942#540—431no—
943#539—21no—
944#538—21no—
945#538—861no—
946#538—861no—
947#532—431no—
948#529—21no—
949#529C2×D4311yescharacteristic
950#529C2×D4311yescharacteristic, complemented
951C2×#126—21no—
952#525—861no—
953C2×#121—861no—
954#520C2×D4311yescharacteristic, complemented
955#518—431no—
956#518—431no—
957#518C2×D4311yescharacteristic, complemented
958C4×#41C2×D4311yescharacteristic, complemented
959C2×C4×D4—431no—
960#501—431no—
961#501—431no—
962#499—431no—
963#496—431no—
964#496—431no—
965#492—431no—
966#491—431no—
967#490—431no—
968#490—431no—
969#489—431no—
970#488—431no—
971#486—431no—
972#485—431no—
973#485—431no—
974#485—431no—
975#483—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#482—431no—
981#481—431no—
982#480—431no—
983#480—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#478—431no—
992#476—431no—
993#475—431no—
994#474—431no—
995#474—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#468—431no—
1000#468—431no—
1001#468—431no—
1002#468—431no—
1003#468—431no—
1004#466—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#463—431no—
1009#463—431no—
1010#463—431no—
1011#463—431no—
1012#461—431no—
1013#461—431no—
1014#460—431no—
1015#460—431no—
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#459—431no—
1020#450—431no—
1021#450—431no—
1022#450—431no—
1023#450—431no—
1024#449—431no—
1025#449—431no—
1026#449—431no—
1027#449—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#447—431no—
1032#446—431no—
1033#446—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#442—431no—
1042#442—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8—431no—
1062#436—431no—
1063#436—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#435—431no—
1068#433—431no—
1069#433—431no—
1070#432—431no—
1071#428—431no—
1072#428—431no—
1073#427—431no—
1074#418—431no—
1075#418—431no—
1076#418—431no—
1077#417—431no—
1078#416—431no—
1079C2×#102—431no—
1080#405—431no—
1081#405—431no—
1082C4×M16—431no—
1083C43#6150611yescharacteristic, complemented, Sylow
1084C2×#41—861no—
1085C2×#41—861no—
1086C2×#41C22×D4311yescharacteristic
1087C2×#41C22×D4311yescharacteristic
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—861no—
1092C22×D4—861no—
1093C22×D4—861no—
1094C22×D4C22×D4311yescharacteristic
1095C23×C4—861no—
1096AGL(1,ℤ/8)—864no—
1097AGL(1,ℤ/8)—864no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16—431no—
1105C2×SD16—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×D8—431no—
1114C2×D8—864no—
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16—431no—
1118C2×M16—431no—
1119C22×C8—431no—
1120C22×C8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8C22×D4311yescharacteristic
1123C4⋊Q8C22×D4311yescharacteristic
1124#127—431no—
1125#127—431no—
1126#127—431no—
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126—21no—
1135#126—21no—
1136#126—21no—
1137#126—861no—
1138#126—861no—
1139#126C22⋊D4311yescharacteristic
1140#126C22⋊D4311yescharacteristic
1141#125—21no—
1142#125—21no—
1143#125—21no—
1144#125—431no—
1145#125—431no—
1146#125C22⋊D4311yescharacteristic
1147#125C22×D4311yescharacteristic
1148#125C22×D4311yescharacteristic
1149#124—21no—
1150#124—21no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124C22⋊D4311yescharacteristic
1155#124C22×D4311yescharacteristic
1156#124C22×D4311yescharacteristic
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123—21no—
1164#123—21no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123C22⋊D4311yescharacteristic
1172#123C22⋊D4311yescharacteristic
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—21no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8C22⋊D4311yescharacteristic
1182C22⋊Q8C22×D4311yescharacteristic
1183C22⋊Q8C22×D4311yescharacteristic
1184C22⋊Q8C22×D4311yescharacteristic
1185C22⋊Q8C22×D4311yescharacteristic
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—21no—
1190#121—431no—
1191#121—431no—
1192#121—431no—
1193#121—431no—
1194#121—431no—
1195#121—431no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121C22⋊D4311yescharacteristic
1211#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#120—21no—
1214#120—21no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220#120—861no—
1221C4×Q8—21no—
1222C4×Q8C22×D4311yescharacteristic
1223C4×Q8C22×D4311yescharacteristic
1224C4×Q8C22×D4311yescharacteristic
1225C4×Q8C22×D4311yescharacteristic
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4C22×D4311yescharacteristic
1255C4×D4C22×D4311yescharacteristic
1256C4×D4C22×D4311yescharacteristic
1257C4×D4C22×D4311yescharacteristic
1258C4×D4C22×D4311yescharacteristic
1259C4×D4C22×D4311yescharacteristic
1260C4×D4C22×D4311yescharacteristic
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263#117—21no—
1264#117—21no—
1265#117—21no—
1266#117—21no—
1267#117—21no—
1268#117—431no—
1269#117—431no—
1270#117—861no—
1271#117C22×D4311yescharacteristic
1272#117C22×D4311yescharacteristic
1273#117C22×D4311yescharacteristic
1274#117C22×D4311yescharacteristic
1275C2×C4⋊C4—21no—
1276C2×C4⋊C4—21no—
1277C2×C4⋊C4—21no—
1278C2×C4⋊C4—431no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4C22×D4311yescharacteristic
1281C2×C22⋊C4—21no—
1282C2×C22⋊C4—21no—
1283C2×C22⋊C4—21no—
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C22⋊C4—861no—
1290C2×C42—21no—
1291C2×C42C22×D4311yescharacteristic
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107—431no—
1298#107—431no—
1299#107—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106—431no—
1306#106—431no—
1307#106—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8—431no—
1313C4⋊C8—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#103—431no—
1321#103—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344#102—431no—
1345#102—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8—431no—
1351C22⋊C8—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97—431no—
1357#97—431no—
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8—431no—
1361C4×C8—431no—
1362C24—21no—
1363C24—861no—
1364C24—861no—
1365C24—861no—
1366#41—22no—
1367#41—22no—
1368#41—41no—
1369#41—41no—
1370#41—3442no—
1371#41—3442no—
1372C2×Q8—21no—
1373C2×Q8—861no—
1374C2×Q8C2×C22⋊D4311yescharacteristic
1375C2×Q8C23×D4311yescharacteristic
1376C2×Q8C23×D4311yescharacteristic
1377C2×D4—22no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—41no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—862no—
1389C2×D4—862no—
1390C2×D4—862no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—3442no—
1407C2×D4—3442no—
1408C2×D4—3442no—
1409C2×D4—1721no—
1410C2×D4—1721no—
1411C2×D4—1721no—
1412C2×D4C2×C22⋊D4311yescharacteristic
1413C2×D4C2×C22⋊D4311yescharacteristic
1414C2×D4C2×C22⋊D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—861no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—3442no—
1438C22×C4C2×C22⋊D4311yescharacteristic
1439C22×C4C2×C22⋊D4311yescharacteristic
1440C22×C4C23×D4311yescharacteristic
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443SD16—862no—
1444SD16—862no—
1445SD16—862no—
1446SD16—862no—
1447SD16—1721no—
1448SD16—1721no—
1449SD16—1721no—
1450SD16—1721no—
1451D8—434no—
1452D8—862no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—1721no—
1458D8—1721no—
1459M16—862no—
1460M16—862no—
1461M16—1721no—
1462M16—1721no—
1463C2×C8—431no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—431no—
1470C2×C8—431no—
1471C2×C8—862no—
1472C2×C8—1721no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—431no—
1490C4⋊C4—431no—
1491C4⋊C4—431no—
1492C4⋊C4—431no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4C2×C22⋊D4311yescharacteristic
1500C4⋊C4C2×C22⋊D4311yescharacteristic
1501C4⋊C4C2×C22⋊D4311yescharacteristic
1502C4⋊C4C2×C22⋊D4311yescharacteristic
1503C4⋊C4C2×C22⋊D4311yescharacteristic
1504C4⋊C4C2×C22⋊D4311yescharacteristic
1505C4⋊C4C2×C22⋊D4311yescharacteristic
1506C4⋊C4C2×C22⋊D4311yescharacteristic
1507C4⋊C4C2×C22⋊D4311yescharacteristic
1508C4⋊C4C2×C22⋊D4311yescharacteristic
1509C4⋊C4C23×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C4⋊C4C23×D4311yescharacteristic
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4C2×C22⋊D4311yescharacteristic
1550C22⋊C4C2×C22⋊D4311yescharacteristic
1551C22⋊C4C2×C22⋊D4311yescharacteristic
1552C22⋊C4C2×C22⋊D4311yescharacteristic
1553C22⋊C4C2×C22⋊D4311yescharacteristic
1554C22⋊C4C2×C22⋊D4311yescharacteristic
1555C22⋊C4C2×C22⋊D4311yescharacteristic
1556C22⋊C4C2×C22⋊D4311yescharacteristic
1557C22⋊C4C2×C22⋊D4311yescharacteristic
1558C22⋊C4C2×C22⋊D4311yescharacteristic
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—861no—
1566C42—861no—
1567C42C2×C22⋊D4311yescharacteristic
1568C42C2×C22⋊D4311yescharacteristic
1569C42C23×D4311yescharacteristic
1570C42C23×D4311yescharacteristic
1571C42C23×D4311yescharacteristic
1572C42C23×D4311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—42no—
1576C23—81no—
1577C23—81no—
1578C23—861no—
1579C23—861no—
1580C23—861no—
1581C23—861no—
1582C23—3441no—
1583C23—3441no—
1584C23—3441no—
1585C23—3441no—
1586C23—3441no—
1587C23—1722no—
1588C23—1722no—
1589C23—1722no—
1590C23—1722no—
1591C23C22×C22⋊D4311yescharacteristic
1592C23C22×C22⋊D4311yescharacteristic
1593C23C22×C22⋊D4311yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—21no—
1597Q8—21no—
1598Q8—41no—
1599Q8—81no—
1600Q8—3441no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—41no—
1605D4—41no—
1606D4—41no—
1607D4—42no—
1608D4—42no—
1609D4—42no—
1610D4—81no—
1611D4—81no—
1612D4—432no—
1613D4—861no—
1614D4—861no—
1615D4—861no—
1616D4—861no—
1617D4—861no—
1618D4—861no—
1619D4—861no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—3441no—
1626D4—3441no—
1627D4—3441no—
1628D4—3441no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4#41×D4312yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—42no—
1651C2×C4—42no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—1722no—
1673C2×C4—1722no—
1674C2×C4C22×C22⋊D4311yescharacteristic
1675C2×C4C22×C22⋊D4311yescharacteristic
1676C2×C4C22×C22⋊D4311yescharacteristic
1677C2×C4C22×C22⋊D4311yescharacteristic
1678C2×C4C22×C22⋊D4311yescharacteristic
1679C2×C4C22×C22⋊D4311yescharacteristic
1680C2×C4C22×C22⋊D4311yescharacteristic
1681C2×C4C22×C22⋊D4311yescharacteristic
1682C2×C4C22×C22⋊D4311yescharacteristic
1683C2×C4C22×C22⋊D4311yescharacteristic
1684C2×C4C22×C22⋊D4311yescharacteristic
1685C2×C4C24×D4311yescharacteristic
1686C8—432no—
1687C8—861no—
1688C8—861no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C8—861no—
1693C8—861no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—22no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—162no—
1710C22—862no—
1711C22—3444no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—1721no—
1723C22—6882no—
1724C22—6882no—
1725C22C23×C22⋊D4311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—21no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C4C2×#41×D4311yescharacteristic
1748C4#1458373511yescharacteristic
1749C2—41no—
1750C2—41no—
1751C2—41no—
1752C2—42no—
1753C2—81no—
1754C2—3441no—
1755C2—3441no—
1756C2—3441no—
1757C2—1722no—
1758C2#41×C22⋊D4311yescharacteristic
1759C2#1914937411yescharacteristic
1760C2#1914937411yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3521C2
socleC22×C43C23×D4
hypercenter#3521D43
hypocenterC43#61506
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #529 ◁ #3521

Complements

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

NH ≅ G/Ntype
1. #19148629C2semidirect
2. #19147615C2semidirect
3. #19147549C2semidirect
4. #19147416C2semidirect
5. #19147302C2semidirect
6. #19147195C2semidirect
7. #19147140C2semidirect
8. #19147104C2semidirect
9. #19146820C2semidirect
10. #19146796C2semidirect
11. #19146751C2semidirect
12. #19146730C2semidirect
13. #19146610C2semidirect
14. #19146571C2semidirect
15. #19146195C2semidirect
16. #19146076C2semidirect
17. #19146076C2semidirect
18. #19145272C2semidirect
19. #19145224C2semidirect
20. #19145191C2semidirect
21. #19144842C2semidirect
22. #19144838C2semidirect
23. #19144794C2semidirect
24. #19144773C2semidirect
25. #19144746C2semidirect
26. #19144729C2semidirect
27. #19143582C2semidirect
28. #19143445C2semidirect
29. #19143423C2semidirect
30. C4×#13063350C2semidirect
31. C43×#3521C2semidirect
36. #14583609C22semidirect
39. #14583595C22semidirect
40. #14583571C22semidirect
46. D4×D172C22semidirect
48. #14583504C22semidirect
51. #14583449C22semidirect
55. #14583373C22semidirect
56. C2×C4×D172C22semidirect
57. #14583309C22semidirect
58. #14583305C22semidirect
59. #14583298C22semidirect
60. #14583289C22semidirect
61. #14583289C22semidirect
62. #14583273C22semidirect
63. #14583267C22semidirect
64. #14583265C22semidirect
65. #14583265C22semidirect
66. #14583258C22semidirect
67. #14583253C22semidirect
68. #14583247C22semidirect
69. #14583237C22semidirect
70. #14583237C22semidirect
71. #14583237C22semidirect
72. #14583227C22semidirect
73. #14583223C22semidirect
74. #14583223C22semidirect
75. #14583223C22semidirect
76. #14583223C22semidirect
77. #14583220C22semidirect
78. #14583217C22semidirect
79. #14583212C22semidirect
80. #14583210C22semidirect
81. #14583206C22semidirect
82. #14583199C22semidirect
83. #14583199C22semidirect
84. #14583199C22semidirect
85. #14583196C22semidirect
86. #14583196C22semidirect
87. #14583196C22semidirect
88. #14583196C22semidirect
89. #14583186C22semidirect
90. #14583184C22semidirect
91. #14583179C22semidirect
92. #14583176C22semidirect
93. #14583150C22semidirect
94. #14583150C22semidirect
95. #14583150C22semidirect
96. #14583147C22semidirect
97. #14583147C22semidirect
98. #14583147C22semidirect
99. #14583147C22semidirect
100. #14583147C22semidirect
101. #14583133C22semidirect
102. #14583130C22semidirect
103. #14583130C22semidirect
104. #14583130C22semidirect
107. #14583111C22semidirect
108. #14583111C22semidirect
109. #14583101C22semidirect
110. #14583101C22semidirect
111. #14583099C22semidirect
112. #14583099C22semidirect
113. #14583094C22semidirect
114. #14583094C22semidirect
115. #14583094C22semidirect
116. #14583094C22semidirect
119. #14583049C22semidirect
120. #14583049C22semidirect
121. #14583044C22semidirect
122. #14583044C22semidirect
123. #14583044C22semidirect
124. #14583044C22semidirect
125. #14583033C22semidirect
126. #14583033C22semidirect
129. #14583030C22semidirect
130. #14583030C22semidirect
135. #14583009C22semidirect
136. #14583009C22semidirect
137. #14583009C22semidirect
138. #14583009C22semidirect
139. #14583009C22semidirect
140. #14582997C22semidirect
141. #14582997C22semidirect
142. #14582997C22semidirect
143. #14582997C22semidirect
144. #14582997C22semidirect
145. #14582997C22semidirect
146. #14582997C22semidirect
147. C4×#10621884C22semidirect
148. C4×#10621884C22semidirect
149. C4×#10621884C22semidirect
150. C4×#10621884C22semidirect
151. C4×#10621884C22semidirect
154. C4×#10621882C22semidirect
155. C4×#10621882C22semidirect
156. C4×#10621882C22semidirect
157. C4×#10621882C22semidirect
158. C4×#10621882C22semidirect
159. #14582977C22semidirect
160. #14582977C22semidirect
161. #14582971C22semidirect
162. #14582971C22semidirect
163. #14582971C22semidirect
164. #14582971C22semidirect
165. #14582960C22semidirect
166. #14582960C22semidirect
167. #14582956C22semidirect
168. #14582942C22semidirect
169. #14582939C22semidirect
170. #14582935C22semidirect
171. #14582904C22semidirect
173. #14582903C22semidirect
174. #14582900C22semidirect
175. #14582895C22semidirect
176. C2×#13063245C22semidirect
177. #14582855C22semidirect
178. #14582855C22semidirect
179. C4×#10621877C22semidirect
180. C43×#556C22semidirect
181. C43×#556C22semidirect
182. C43×#554C22semidirect
184. C43×#553C22semidirect
186. C43×#552C22semidirect
189. C43×#547C22semidirect
190. C43×#546C22semidirect
191. C43×#546C22semidirect
192. C43×#542C22semidirect
193. C43×#541C22semidirect
198. C43×#529C22semidirect
200. C43×#520C22semidirect
201. C43×#518C22semidirect
202. C4×#41×C43C22semidirect
649. #10621882#41semidirect
869. #3521D43semidirect
915. #556C2×D43semidirect
916. #556C2×D43semidirect
919. #554C2×D43semidirect
924. #553C2×D43semidirect
926. #552C2×D43semidirect
930. #547C2×D43semidirect
934. #546C2×D43semidirect
935. #546C2×D43semidirect
939. #542C2×D43semidirect
940. #541C2×D43semidirect
950. #529C2×D43semidirect
954. #520C2×D43semidirect
957. #518C2×D43semidirect
958. C4×#41C2×D43semidirect
1083. C43#61506semidirect

Maximal subgroups

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

subgroupindex
#191486292
#191476152
#191475492
#191474162
#191473022
#191471952
#191471402
#191471042
#191468202
#191467962
#191467512
#191467302
#191466102
#191465712
#191461952
#191460762
#191452722
#191452242
#191451912
#191448422
#191448382
#191447942
#191447732
#191447462
#191447292
#191435822
#191434452
#191434232
C4×#130633502
C43×#35212
#6150643