Finite Group Databasebeta

← #25975739

Subgroups — #25975739

Order 11008.

1806 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148336C211yesmaximal, characteristic, complemented
2#19148295C211yesmaximal, characteristic
3#19147212C211yesmaximal, characteristic, complemented
4#19147208C211yesmaximal, characteristic, complemented
5#19147154C211yesmaximal, characteristic, complemented
6#19147153C211yesmaximal, characteristic, complemented
7#19147137C211yesmaximal, characteristic, complemented
8#19147136C211yesmaximal, characteristic, complemented
9#19147057C211yesmaximal, characteristic, complemented
10#19147056C211yesmaximal, characteristic, complemented
11#19147056C211yesmaximal, characteristic, complemented
12#19147050C211yesmaximal, characteristic, complemented
13#19147035C211yesmaximal, characteristic, complemented
14#19147031C211yesmaximal, characteristic, complemented
15#19146961C211yesmaximal, characteristic, complemented
16#19146953C211yesmaximal, characteristic, complemented
17#19146945C211yesmaximal, characteristic, complemented
18#19145124C211yesmaximal, characteristic, complemented
19#19144581C211yesmaximal, characteristic, complemented
20#19144561C211yesmaximal, characteristic, complemented
21#19144509C211yesmaximal, characteristic, complemented
22#483×D43C211yesmaximal, characteristic, complemented
23#19144460C211yesmaximal, characteristic, complemented
24#19144434C211yesmaximal, characteristic, complemented
25#19144285C211yesmaximal, characteristic, complemented
26#19144222C211yesmaximal, characteristic, complemented
27#19143433C211yesmaximal, characteristic, complemented
28#19143315C211yesmaximal, characteristic, complemented
29#19143187C211yesmaximal, characteristic, complemented
30C2×#14582940C211yesmaximal, characteristic, complemented
31C43×#3336C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063331C2211yescharacteristic
34C22×#10621872C2211yescharacteristic
35#14583622C2211yescharacteristic
36#14583617C2211yescharacteristic
37#14583609C2211yescharacteristic
38#14583607C2211yescharacteristic
39#14583607C2211yescharacteristic
40#14583606C2211yescharacteristic
41#14583605—21no—
42#14583602C2211yescharacteristic
43#14583600—21no—
44#14583593C2211yescharacteristic
45#14583591C2211yescharacteristic
46#14583591C2211yescharacteristic
47#14583587—21no—
48#14583587C2211yescharacteristic
49#14583585—21no—
50#14583584C2211yescharacteristic
51#14583582—21no—
52#14583573—21no—
53#14583572—21no—
54#14583553C2211yescharacteristic
55#14583550C2211yescharacteristic
56#14583547—21no—
57#14583529C2211yescharacteristic
58#14583529C2211yescharacteristic
59#14583515—21no—
60#14583508—21no—
61#14583497—21no—
62#14583490—21no—
63#14583479C2211yescharacteristic
64#14583472C2211yescharacteristic
65#14583452—21no—
66#14583426—21no—
67#14583412C2211yescharacteristic
68#14583411—21no—
69#14583408C2211yescharacteristic
70#14583407—21no—
71C22⋊Q8×D43C2211yescharacteristic
72#14583381C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583375C2211yescharacteristic
76C2×#13063283C2211yescharacteristic
77C2×C4⋊C4×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583309C2211yescharacteristic, complemented
80#14583307C2211yescharacteristic, complemented
81#14583307C2211yescharacteristic, complemented
82#14583299C2211yescharacteristic, complemented
83#14583297C2211yescharacteristic, complemented
84#14583296C2211yescharacteristic, complemented
85#14583243C2211yescharacteristic, complemented
86#14583240C2211yescharacteristic, complemented
87#14583238C2211yescharacteristic
88#14583238C2211yescharacteristic
89#14583238C2211yescharacteristic, complemented
90#14583238C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583232C2211yescharacteristic
93#14583232C2211yescharacteristic, complemented
94#14583231C2211yescharacteristic
95#14583231C2211yescharacteristic
96#14583230C2211yescharacteristic
97#14583230C2211yescharacteristic, complemented
98#14583229C2211yescharacteristic
99#14583228C2211yescharacteristic
100#14583228C2211yescharacteristic
101#14583228C2211yescharacteristic, complemented
102#14583228C2211yescharacteristic, complemented
103#14583227C2211yescharacteristic
104#14583227C2211yescharacteristic, complemented
105#14583226C2211yescharacteristic, complemented
106#14583225C2211yescharacteristic
107#14583225C2211yescharacteristic
108#14583223C2211yescharacteristic, complemented
109#14583219C2211yescharacteristic, complemented
110#14583218C2211yescharacteristic
111#14583218C2211yescharacteristic, complemented
112#14583212C2211yescharacteristic
113#14583209C2211yescharacteristic, complemented
114#14583204C2211yescharacteristic, complemented
115#14583204C2211yescharacteristic, complemented
116#14583203C2211yescharacteristic, complemented
117#14583202C2211yescharacteristic, complemented
118#14583196C2211yescharacteristic, complemented
119#14583194C2211yescharacteristic, complemented
120#14583193C2211yescharacteristic, complemented
121#14583190C2211yescharacteristic, complemented
122#14583188C2211yescharacteristic, complemented
123#14583185C2211yescharacteristic, complemented
124#14583184C2211yescharacteristic, complemented
125#14583182C2211yescharacteristic, complemented
126#14583182C2211yescharacteristic, complemented
127#14583156C2211yescharacteristic
128#14583155C2211yescharacteristic, complemented
129#14583154C2211yescharacteristic
130#14583154C2211yescharacteristic, complemented
131#14583148C2211yescharacteristic
132#14583147C2211yescharacteristic, complemented
133#14583146C2211yescharacteristic
134#14583146C2211yescharacteristic, complemented
135#14583139C2211yescharacteristic, complemented
136#14583138C2211yescharacteristic
137#14583131C2211yescharacteristic, complemented
138#14583130C2211yescharacteristic
139#14583128C2211yescharacteristic
140#14583128C2211yescharacteristic, complemented
141#14583006C2211yescharacteristic, complemented
142#14583004C2211yescharacteristic, complemented
143#14582998C2211yescharacteristic, complemented
144#14582997C2211yescharacteristic, complemented
145#14582991C2211yescharacteristic, complemented
146C4×#10621873C2211yescharacteristic, complemented
147#14582984C2211yescharacteristic, complemented
148#14582978C2211yescharacteristic
149#14582974C2211yescharacteristic
150#14582971C2211yescharacteristic
151#14582970C2211yescharacteristic
152#14582970C2211yescharacteristic
153#14582969C2211yescharacteristic
154(C22⋊D43)⋊C8C2211yescharacteristic
155#14582942C2211yescharacteristic, complemented
156#14582942C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic
162#14582940C2211yescharacteristic
163#14582940C2211yescharacteristic
164#14582940C2211yescharacteristic
165#14582940C2211yescharacteristic
166#14582940C2211yescharacteristic, complemented
167#14582940C2211yescharacteristic, complemented
168#14582934C2211yescharacteristic
169#14582934C2211yescharacteristic
170#14582934C2211yescharacteristic, complemented
171C2×#13063258C2211yescharacteristic
172C2×#13063257C2211yescharacteristic
173C2×#13063257C2211yescharacteristic, complemented
174C2×#13063256C2211yescharacteristic
175#106×D43C2211yescharacteristic
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582894C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186C22⋊C8×D43C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#552C2211yescharacteristic
189C43×#552C2211yescharacteristic
190C43×#499C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#485C2211yescharacteristic, complemented
193C43×#483C2211yescharacteristic
194C43×#483C2211yescharacteristic
195C43×#479C2211yescharacteristic, complemented
196C43×#479C2211yescharacteristic, complemented
197C43×#467C2211yescharacteristic
198C43×#467C2211yescharacteristic, complemented
199C4×Q16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic
201C43×#427C2211yescharacteristic, complemented
202C2×#107×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×Q8×D43C2311yescharacteristic
208C22×C4×D43—21no—
209C22×C4×D43C2311yescharacteristic
210#13063357—24no—
211C2×#10621885C2311yescharacteristic
212C2×#10621873C2311yescharacteristic
213C2×#10621884C2311yescharacteristic
214#13063331—24no—
215C2×#10621877C2311yescharacteristic
216C2×#10621872—24no—
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C22×C43⋊C8C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063325C2311yescharacteristic
227#13063325C2311yescharacteristic
228#13063324—21no—
229#13063324—21no—
230#13063324—21no—
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063319—21no—
241#13063319—21no—
242#13063318—21no—
243#13063317—21no—
244#13063316—21no—
245#13063316—21no—
246#13063316—21no—
247#13063316—21no—
248#13063316C2311yescharacteristic
249#13063316C2311yescharacteristic
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063313—21no—
256#13063311—21no—
257#13063311—21no—
258#13063310—21no—
259#13063310—21no—
260#13063310—21no—
261#13063310—21no—
262#13063310—21no—
263#13063310D411yescharacteristic
264#13063309—21no—
265#13063309—21no—
266#13063309—21no—
267#13063309—21no—
268#13063308—21no—
269#13063308—21no—
270#13063307—21no—
271#13063307—21no—
272#13063307D411yescharacteristic
273#13063305—21no—
274#13063305—21no—
275#13063305—21no—
276#13063305—21no—
277#13063305—21no—
278#13063305C2311yescharacteristic
279#13063305C2311yescharacteristic
280#13063304C2311yescharacteristic
281#13063304C2311yescharacteristic
282#13063303—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303D411yescharacteristic
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302D411yescharacteristic
296#13063301C2311yescharacteristic
297#13063301C2311yescharacteristic
298#13063301C2311yescharacteristic
299#13063301C2311yescharacteristic
300#13063300—21no—
301#13063300—21no—
302#13063300C2311yescharacteristic
303#13063300C2311yescharacteristic
304#13063299C2311yescharacteristic
305#13063299C2311yescharacteristic
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063298D411yescharacteristic
310#13063297D411yescharacteristic
311#13063295—21no—
312#13063295D411yescharacteristic
313#13063293D411yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86—21no—
321C4×Dic86C2311yescharacteristic
322#13063290—21no—
323#13063290C2311yescharacteristic
324C4×D172—21no—
325C4×D172—21no—
326C4×D172—21no—
327C4×D172—21no—
328C4×D172—21no—
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331D4×Dic43—21no—
332#13063287—21no—
333#13063287—21no—
334#13063287—21no—
335#13063287C2311yescharacteristic
336C4×C22⋊D43C2311yescharacteristic
337C4×C22⋊D43C2311yescharacteristic
338(C22⋊D43)⋊C4—21no—
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
341(C22⋊D43)⋊C4—21no—
342(C22⋊D43)⋊C4—21no—
343(C22⋊D43)⋊C4—21no—
344(C22⋊D43)⋊C4—21no—
345#13063284—21no—
346#13063283—21no—
347#13063283—21no—
348#13063283—21no—
349#13063283—21no—
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063282—21no—
358#13063282—21no—
359#13063282C2311yescharacteristic
360#13063281—21no—
361#13063281—21no—
362C2×C4⋊Dic43C2311yescharacteristic
363C2×C4⋊Dic43C2311yescharacteristic
364C2×C4⋊Dic43C2311yescharacteristic
365C2×C4⋊Dic43C2311yescharacteristic
366C2×Dic43⋊C4—21no—
367C4⋊C4×D43—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C2×(C2×D43)⋊C4—21no—
379C22⋊C4×D43—21no—
380C2×C4×Dic43—21no—
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429C22⋊(C43⋊C8)C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435#13063236C2311yescharacteristic
436#13063235C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C22×C8×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441#126×C43—21no—
442#126×C43—21no—
443#125×C43—21no—
444#125×C43—21no—
445#125×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447#123×C43—21no—
448#123×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43—21no—
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43C2×D411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43C2×D411yescharacteristic
485C22×C4×C43—21no—
486C22×C4×C43—21no—
487C22×C4×C43C2411yescharacteristic
488C22×C4×C43C2411yescharacteristic
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43C2×D411yescharacteristic
492C2×C22⋊D43C2×D411yescharacteristic
493C2×C22⋊D43C2×D411yescharacteristic
494C2×C22⋊D43C2×D411yescharacteristic
495C22×Dic43—21no—
496C22×Dic43—21no—
497C22×Dic43—21no—
498C22×Dic43—21no—
499C22×Dic43C2×D411yescharacteristic
500#10621902—22no—
501#10621902—22no—
502Q8×D43—22no—
503Q8×D43—22no—
504#10621900—82no—
505#10621898—22no—
506#10621898—22no—
507#10621898—82no—
508C2×D172—21no—
509C2×D172—21no—
510C2×D172—21no—
511C2×D172C2×D411yescharacteristic
512C2×D172C2×D411yescharacteristic
513C2×D172C2411yescharacteristic
514C2×C4×D43—22no—
515C2×C4×D43—22no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—82no—
528C2×C4×D43C2×D411yescharacteristic
529C2×C4×D43C2×D411yescharacteristic
530C2×C4×D43C2411yescharacteristic
531C2×C4×D43C2411yescharacteristic
532C2×C4×D43C2411yescharacteristic
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×Dic86—21no—
538C2×Dic86C2×D411yescharacteristic
539C2×Dic86C2411yescharacteristic
540Q16×C43—22no—
541C2×C8×C43—22no—
542C2×C8×C43—22no—
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
545C2×C8×C43C2411yescharacteristic
546C2×C8×C43C2411yescharacteristic
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43C2×D411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43C2×D411yescharacteristic
573C22⋊C4×C43C2×D411yescharacteristic
574C42×C43—21no—
575C42×C43—21no—
576C42×C43—21no—
577C42×C43—21no—
578C42×C43C2411yescharacteristic
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43C2×D411yescharacteristic
582C22⋊Dic43C2×D411yescharacteristic
583#10621885—22no—
584#10621884—22no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43C2×D411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43C2411yescharacteristic
664#10621877—22no—
665C2×C43⋊C8—22no—
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670#10621873—22no—
671#10621872—22no—
672#10621872—22no—
673#10621872—22no—
674#10621872—22no—
675#10621872#4114yescomplemented
676C8×D43—22no—
677C8×D43—22no—
678C8×D43—22no—
679C23×C43C22×D411yescharacteristic
680C23×C43C22×D411yescharacteristic
681C22×D43—22no—
682C22×D43—22no—
683C22×D43—21no—
684C22×D43—41no—
685C22×D43C22×D411yescharacteristic
686C22×D43C22×D411yescharacteristic
687C22×D43C22×D411yescharacteristic
688Q8×C43—21no—
689Q8×C43—21no—
690Q8×C43—21no—
691Q8×C43—21no—
692D4×C43—22no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—42no—
706C2×C4×C43—42no—
707C2×C4×C43C22×D411yescharacteristic
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C2511yescharacteristic
712C22⋊D43—22no—
713C22⋊D43—22no—
714C22⋊D43—22no—
715C22⋊D43—41no—
716C22⋊D43—42no—
717C22⋊D43—81no—
718C2×Dic43—22no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—42no—
727C2×Dic43—81no—
728C2×Dic43—81no—
729C2×Dic43—81no—
730C2×Dic43C22×D411yescharacteristic
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735D172—22no—
736D172—21no—
737D172—21no—
738D172—41no—
739D172—42no—
740D172—42no—
741D172—81no—
742C4×D43—22no—
743C4×D43—21no—
744C4×D43—21no—
745C4×D43—21no—
746C4×D43—21no—
747C4×D43—22no—
748C4×D43—42no—
749C4×D43—42no—
750C4×D43—81no—
751C4×D43—81no—
752C4×D43—81no—
753C4×D43—81no—
754C4×D43—81no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43C2×#4112yes—
760C4×D432−1+412yes—
761Dic86—22no—
762Dic86—21no—
763Dic86—21no—
764Dic86—42no—
765Dic86—81no—
766Dic86—81no—
767Dic86—81no—
768Dic86—81no—
769C8×C43—21no—
770C8×C43—21no—
771C8×C43—21no—
772C8×C43C2×#4112yes—
773C43⋊C8—21no—
774C43⋊C8—21no—
775C43⋊C8—21no—
776C43⋊C8C2×#4112yes—
777#61271—431nomaximal, Sylow
778C22×C43—21no—
779C22×C43—21no—
780C22×C43—21no—
781C22×C43—21no—
782C22×C43—21no—
783C22×C43#57712yes—
784C22×C43C23×D411yescharacteristic
785C2×D43—21no—
786C2×D43—21no—
787C2×D43—21no—
788C2×D43—21no—
789C2×D43—21no—
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—21no—
793C2×D43—44no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43#54712yes—
798C4×C43—21no—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—21no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43C22×#4111yescharacteristic
811C4×C43C2×2−1+411yescharacteristic
812Dic43—21no—
813Dic43—21no—
814Dic43—21no—
815Dic43—21no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823Dic43#54712yes—
824#3495—431no—
825#3492—431no—
826#3356—431no—
827#3356—431no—
828#3351—431no—
829#3351—431no—
830#3350—431no—
831#3350—431no—
832#3344—431no—
833#3344—431no—
834#3344—431no—
835#3344—431no—
836#3343—431no—
837#3343—431no—
838#3336—431no—
839#3336D4311yescharacteristic, complemented
840#3335—431no—
841#3335—431no—
842#3163—431no—
843#3099—431no—
844#3097—431no—
845#3091—431no—
846C2×#483—431no—
847#3084—431no—
848#3082—431no—
849#3063—431no—
850#3056—431no—
851#2947—431no—
852#2933—431no—
853#2912—431no—
854C2×#428—431no—
855C2×C43—22no—
856C2×C43—41no—
857C2×C43C2×#54711yescharacteristic
858C2×C43C2×#57711yescharacteristic
859C2×C43#358611yescharacteristic
860D43—22no—
861D43—41no—
862D43—41no—
863D43—81no—
864C2×#137—431no—
865C2×#131—431no—
866C22×M16—431no—
867#556—431no—
868#556—431no—
869#554—431no—
870#554—431no—
871#554—431no—
872#554—431no—
873#554—861no—
874#553—431no—
875#553—431no—
876#553—861no—
877#552—431no—
878#552—431no—
879#552—431no—
880#552—431no—
881#552—861no—
882#552—861no—
883#552—861no—
884#552C2×D4311yescharacteristic
885#552C2×D4311yescharacteristic
886#551—861no—
887#551—861no—
888#547—431no—
889#547—431no—
890#547—861no—
891#544—431no—
892#544—431no—
893#542—861no—
894#541—861no—
895#539—861no—
896#539—861no—
897#537—431no—
898#536—431no—
899#533—861no—
900#529—861no—
901#525—431no—
902#525—431no—
903#525—861no—
904#525—861no—
905C2×C22⋊Q8—431no—
906#520—431no—
907#520—431no—
908#520—431no—
909#519—431no—
910C2×#117—431no—
911C22×C4⋊C4—431no—
912#501—431no—
913#501—431no—
914#501—431no—
915#501—431no—
916#499—431no—
917#499C2×D4311yescharacteristic, complemented
918#498—431no—
919#498—431no—
920#485—431no—
921#485—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
926#485C2×D4311yescharacteristic, complemented
927#485C2×D4311yescharacteristic, complemented
928#484—431no—
929#484—431no—
930#484—431no—
931#483—431no—
932#483—431no—
933#483—431no—
934#483—431no—
935#483—431no—
936#483—431no—
937#483—431no—
938#483—431no—
939#483—431no—
940#483—431no—
941#483—431no—
942#483C2×D4311yescharacteristic
943#483C2×D4311yescharacteristic
944#482—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#481—431no—
949#481—431no—
950#481—431no—
951#480—431no—
952#479—431no—
953#479—431no—
954#479—431no—
955#479—431no—
956#479C2×D4311yescharacteristic, complemented
957#479C2×D4311yescharacteristic, complemented
958#478—431no—
959#478—431no—
960#477—431no—
961#477—431no—
962#476—431no—
963#476—431no—
964#475—431no—
965#475—431no—
966#475—431no—
967#475—431no—
968#470—431no—
969#470—431no—
970#470—431no—
971#470—431no—
972#468—431no—
973#468—431no—
974#468—431no—
975#468—431no—
976#467—431no—
977#467—431no—
978#467C2×D4311yescharacteristic
979#467C2×D4311yescharacteristic, complemented
980#465—431no—
981#465—431no—
982#465—431no—
983#465—431no—
984#441—431no—
985#441—431no—
986#440—431no—
987#440—431no—
988C4×Q16—431no—
989C4×Q16C2×D4311yescharacteristic, complemented
990C4×SD16—431no—
991C4×SD16—431no—
992#436—431no—
993#436—431no—
994#435—431no—
995#435—431no—
996#435—431no—
997#435—431no—
998C8×D4—431no—
999C8×D4C2×D4311yescharacteristic
1000#428—431no—
1001#428—431no—
1002#428—431no—
1003#428—431no—
1004#428—431no—
1005#428—431no—
1006#428—431no—
1007#428—431no—
1008#428—431no—
1009#428—431no—
1010#428—431no—
1011#428—431no—
1012#428—431no—
1013#427—431no—
1014#427—431no—
1015#427—431no—
1016#427C2×D4311yescharacteristic, complemented
1017C2×#107—431no—
1018C2×#107C2×D4311yescharacteristic
1019C2×#106—431no—
1020C2×#106—431no—
1021C2×#106—431no—
1022C2×#106—431no—
1023C2×#106—431no—
1024C2×#106—431no—
1025#424—431no—
1026#419—431no—
1027#417—431no—
1028#416—431no—
1029#416—431no—
1030C2×#103—431no—
1031C2×#103—431no—
1032#408—431no—
1033C2×C22⋊C8—431no—
1034#405—431no—
1035C43#6127111yescharacteristic, complemented, Sylow
1036C2×#41—431no—
1037C2×#41—431no—
1038C2×#41—861no—
1039C2×#41—861no—
1040C22×Q8—431no—
1041C23×C4—431no—
1042C23×C4—861no—
1043#137—864no—
1044C2×Q16—431no—
1045C2×Q16C22×D4311yescharacteristic
1046C2×SD16—431no—
1047C2×SD16—431no—
1048#131—864no—
1049C2×M16—431no—
1050C2×M16—431no—
1051C2×M16—431no—
1052C2×M16—431no—
1053C2×M16—431no—
1054C2×M16—431no—
1055C2×M16—864no—
1056C22×C8—431no—
1057C22×C8—431no—
1058C22×C8—431no—
1059C22×C8—431no—
1060C22×C8C22×D4311yescharacteristic
1061C22×C8C22×D4311yescharacteristic
1062C4⋊Q8—431no—
1063C4⋊Q8—431no—
1064C4⋊Q8—431no—
1065C4⋊Q8—431no—
1066C4⋊Q8—861no—
1067C4⋊Q8—861no—
1068C4⋊Q8—861no—
1069#126—21no—
1070#126—21no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#125—21no—
1082#125—21no—
1083#125—431no—
1084#125—431no—
1085#125—861no—
1086#125—861no—
1087#125—861no—
1088#125—861no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125C22×D4311yescharacteristic
1096#125C22×D4311yescharacteristic
1097#124—861no—
1098#124—861no—
1099#124—861no—
1100#123—21no—
1101#123—21no—
1102#123—431no—
1103#123—431no—
1104#123—861no—
1105#123—861no—
1106#123—861no—
1107#123—861no—
1108#123—861no—
1109#123—861no—
1110#123—861no—
1111#123—861no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117C22⋊Q8—431no—
1118C22⋊Q8—431no—
1119C22⋊Q8—431no—
1120C22⋊Q8—431no—
1121C22⋊Q8—431no—
1122C22⋊Q8—431no—
1123C22⋊Q8—431no—
1124C22⋊Q8—431no—
1125C22⋊Q8—431no—
1126C22⋊Q8—431no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8C22×D4311yescharacteristic
1145C22⋊Q8C22×D4311yescharacteristic
1146C22⋊Q8C22×D4311yescharacteristic
1147C22⋊Q8C22×D4311yescharacteristic
1148#121—431no—
1149#121—431no—
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—861no—
1155#121—861no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#120—431no—
1160#120—431no—
1161#120—861no—
1162C4×Q8—431no—
1163C4×Q8—431no—
1164C4×Q8—431no—
1165C4×Q8—431no—
1166C4×Q8—861no—
1167C4×Q8—861no—
1168C4×Q8—861no—
1169C4×Q8—861no—
1170C4×Q8—861no—
1171C4×Q8—861no—
1172C4×Q8C22×D4311yescharacteristic
1173C4×Q8C22×D4311yescharacteristic
1174C4×D4—431no—
1175C4×D4—431no—
1176C4×D4—431no—
1177C4×D4—431no—
1178C4×D4—431no—
1179C4×D4—861no—
1180C4×D4—861no—
1181C4×D4—861no—
1182C4×D4—861no—
1183C4×D4—861no—
1184C4×D4—861no—
1185C4×D4—861no—
1186C4×D4—861no—
1187C4×D4—861no—
1188C4×D4—861no—
1189C4×D4—861no—
1190C4×D4—861no—
1191C4×D4—861no—
1192C4×D4—861no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4C22×D4311yescharacteristic
1196#117—21no—
1197#117—21no—
1198#117—431no—
1199#117—431no—
1200#117—431no—
1201#117—431no—
1202#117—431no—
1203#117—431no—
1204#117—431no—
1205#117—431no—
1206#117—861no—
1207#117—861no—
1208#117—861no—
1209#117—861no—
1210#117—861no—
1211#117—861no—
1212#117—861no—
1213#117—861no—
1214#117—861no—
1215#117C22×D4311yescharacteristic
1216#117C22×D4311yescharacteristic
1217C2×C4⋊C4—431no—
1218C2×C4⋊C4—431no—
1219C2×C4⋊C4—431no—
1220C2×C4⋊C4—431no—
1221C2×C4⋊C4—431no—
1222C2×C4⋊C4—431no—
1223C2×C4⋊C4—431no—
1224C2×C4⋊C4—431no—
1225C2×C4⋊C4—431no—
1226C2×C4⋊C4—431no—
1227C2×C4⋊C4—431no—
1228C2×C4⋊C4—861no—
1229C2×C4⋊C4—861no—
1230C2×C4⋊C4—861no—
1231C2×C4⋊C4—861no—
1232C2×C4⋊C4—861no—
1233C2×C4⋊C4C22×D4311yescharacteristic
1234C2×C4⋊C4C22×D4311yescharacteristic
1235C2×C22⋊C4—861no—
1236C2×C22⋊C4—861no—
1237C2×C42—861no—
1238#107—431no—
1239#107—431no—
1240#107—431no—
1241#107—431no—
1242#107—431no—
1243#107—431no—
1244#107—431no—
1245#107—431no—
1246#107—431no—
1247#107C22×D4311yescharacteristic
1248#107C22×D4311yescharacteristic
1249#107C22×D4311yescharacteristic
1250#107C22×D4311yescharacteristic
1251#107C22×D4311yescharacteristic
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106—431no—
1257#106—431no—
1258#106—431no—
1259#106—431no—
1260#106—431no—
1261#106—431no—
1262#106—431no—
1263#106—431no—
1264#106—431no—
1265#106—431no—
1266#106—431no—
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106C22×D4311yescharacteristic
1271#106C22×D4311yescharacteristic
1272#106C22×D4311yescharacteristic
1273#106C22×D4311yescharacteristic
1274C4⋊C8—431no—
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8C22×D4311yescharacteristic
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103C22×D4311yescharacteristic
1291#103C22×D4311yescharacteristic
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#102—431no—
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302C22⋊C8—431no—
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305C22⋊C8—431no—
1306C22⋊C8—431no—
1307C22⋊C8—431no—
1308C22⋊C8C22×D4311yescharacteristic
1309C22⋊C8C22×D4311yescharacteristic
1310#97—431no—
1311#97—431no—
1312C4×C8—431no—
1313C4×C8C22×D4311yescharacteristic
1314C24—431no—
1315#41—862no—
1316#41—862no—
1317#41—862no—
1318#41—862no—
1319#41—3442no—
1320#41—3442no—
1321C2×Q8—431no—
1322C2×Q8—431no—
1323C2×Q8—861no—
1324C2×Q8—861no—
1325C2×Q8—861no—
1326C2×Q8—862no—
1327C2×Q8—862no—
1328C2×Q8—861no—
1329C2×Q8—861no—
1330C2×Q8C23×D4311yescharacteristic
1331C2×Q8C23×D4311yescharacteristic
1332C2×D4—431no—
1333C2×D4—431no—
1334C2×D4—431no—
1335C2×D4—431no—
1336C2×D4—431no—
1337C2×D4—431no—
1338C2×D4—431no—
1339C2×D4—861no—
1340C2×D4—861no—
1341C2×D4—861no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4D4×D4311yescharacteristic
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—431no—
1348C22×C4—431no—
1349C22×C4—431no—
1350C22×C4—431no—
1351C22×C4—431no—
1352C22×C4—431no—
1353C22×C4—862no—
1354C22×C4—862no—
1355C22×C4—861no—
1356C22×C4—861no—
1357C22×C4—861no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—3442no—
1371C22×C4C23×D4311yescharacteristic
1372C22×C4C23×D4311yescharacteristic
1373Q16—22no—
1374Q16—862no—
1375SD16—862no—
1376SD16—862no—
1377M16—434no—
1378M16—862no—
1379M16—862no—
1380M16—862no—
1381M16—862no—
1382M16—862no—
1383C2×C8—22no—
1384C2×C8—22no—
1385C2×C8—431no—
1386C2×C8—431no—
1387C2×C8—431no—
1388C2×C8—431no—
1389C2×C8—862no—
1390C2×C8—862no—
1391C2×C8—862no—
1392C2×C8—862no—
1393C2×C8C23×D4311yescharacteristic
1394C2×C8C23×D4311yescharacteristic
1395C2×C8C23×D4311yescharacteristic
1396C2×C8C23×D4311yescharacteristic
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—431no—
1413C4⋊C4—431no—
1414C4⋊C4—431no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4D4×D4311yescharacteristic
1452C4⋊C4C23×D4311yescharacteristic
1453C4⋊C4C23×D4311yescharacteristic
1454C4⋊C4C23×D4311yescharacteristic
1455C4⋊C4C23×D4311yescharacteristic
1456C4⋊C4C23×D4311yescharacteristic
1457C4⋊C4C23×D4311yescharacteristic
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—431no—
1465C22⋊C4—431no—
1466C22⋊C4—431no—
1467C22⋊C4—431no—
1468C22⋊C4—431no—
1469C22⋊C4—431no—
1470C22⋊C4—431no—
1471C22⋊C4—431no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4D4×D4311yescharacteristic
1494C22⋊C4D4×D4311yescharacteristic
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—431no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42—861no—
1505C42—861no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42C23×D4311yescharacteristic
1512C23—431no—
1513C23—431no—
1514C23—431no—
1515C23—862no—
1516C23—862no—
1517C23—861no—
1518C23—1721no—
1519C23C2×D4×D4311yescharacteristic
1520C23C2×D4×D4311yescharacteristic
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—862no—
1526Q8—861no—
1527Q8—861no—
1528Q8—3441no—
1529Q8—3441no—
1530Q8—3441no—
1531Q8—3441no—
1532Q8—1722no—
1533D4—22no—
1534D4—862no—
1535D4—862no—
1536D4—862no—
1537D4—862no—
1538D4—861no—
1539D4—861no—
1540D4—3441no—
1541D4—3441no—
1542D4—1721no—
1543D4—1722no—
1544D4—1722no—
1545D4—1721no—
1546D4—1722no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—42no—
1560C2×C4—42no—
1561C2×C4—431no—
1562C2×C4—432no—
1563C2×C4—432no—
1564C2×C4—431no—
1565C2×C4—431no—
1566C2×C4—431no—
1567C2×C4—431no—
1568C2×C4—862no—
1569C2×C4—862no—
1570C2×C4—862no—
1571C2×C4—861no—
1572C2×C4—861no—
1573C2×C4—861no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—861no—
1582C2×C4—3441no—
1583C2×C4—3441no—
1584C2×C4—3441no—
1585C2×C4—3441no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—3441no—
1591C2×C4—3441no—
1592C2×C4—3441no—
1593C2×C4—3441no—
1594C2×C4—1722no—
1595C2×C4—1722no—
1596C2×C4—1722no—
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C2×D4×D4311yescharacteristic
1600C2×C4C2×D4×D4311yescharacteristic
1601C2×C4C24×D4311yescharacteristic
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—432no—
1606C8—861no—
1607C8—861no—
1608C8—861no—
1609C8#41×D4312yes—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—432no—
1616C22—861no—
1617C22—861no—
1618C22—861no—
1619C22—861no—
1620C22—861no—
1621C22—861no—
1622C22—861no—
1623C22—861no—
1624C22—1724no—
1625C22—1721no—
1626C22—1721no—
1627C22—1721no—
1628C22#1458370612yes—
1629C22C22×D4×D4311yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—432no—
1643C4—861no—
1644C4—861no—
1645C4—861no—
1646C4—861no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4C2×#41×D4311yescharacteristic
1655C42−1+4×D4311yescharacteristic
1656C2—22no—
1657C2—41no—
1658C2—862no—
1659C2—3441no—
1660C2—1721no—
1661C2—1721no—
1662C2#547×D4311yescharacteristic
1663C2C2×#1458370611yescharacteristic
1664C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3336C2
socleC22×C43C23×D4
prime radical#19148295C2
hypercenter#3336D43
hypocenterC43#61271
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3336

Complements

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

NH ≅ G/Ntype
1. #19148336C2semidirect
3. #19147212C2semidirect
4. #19147208C2semidirect
5. #19147154C2semidirect
6. #19147153C2semidirect
7. #19147137C2semidirect
8. #19147136C2semidirect
9. #19147057C2semidirect
10. #19147056C2semidirect
11. #19147056C2semidirect
12. #19147050C2semidirect
13. #19147035C2semidirect
14. #19147031C2semidirect
15. #19146961C2semidirect
16. #19146953C2semidirect
17. #19146945C2semidirect
18. #19145124C2semidirect
19. #19144581C2semidirect
20. #19144561C2semidirect
21. #19144509C2semidirect
22. #483×D43C2semidirect
23. #19144460C2semidirect
24. #19144434C2semidirect
25. #19144285C2semidirect
26. #19144222C2semidirect
27. #19143433C2semidirect
28. #19143315C2semidirect
29. #19143187C2semidirect
30. C2×#14582940C2semidirect
31. C43×#3336C2semidirect
78. #14583309C22semidirect
79. #14583309C22semidirect
80. #14583307C22semidirect
81. #14583307C22semidirect
82. #14583299C22semidirect
83. #14583297C22semidirect
84. #14583296C22semidirect
85. #14583243C22semidirect
86. #14583240C22semidirect
89. #14583238C22semidirect
90. #14583238C22semidirect
91. #14583236C22semidirect
93. #14583232C22semidirect
97. #14583230C22semidirect
101. #14583228C22semidirect
102. #14583228C22semidirect
104. #14583227C22semidirect
105. #14583226C22semidirect
108. #14583223C22semidirect
109. #14583219C22semidirect
111. #14583218C22semidirect
113. #14583209C22semidirect
114. #14583204C22semidirect
115. #14583204C22semidirect
116. #14583203C22semidirect
117. #14583202C22semidirect
118. #14583196C22semidirect
119. #14583194C22semidirect
120. #14583193C22semidirect
121. #14583190C22semidirect
122. #14583188C22semidirect
123. #14583185C22semidirect
124. #14583184C22semidirect
125. #14583182C22semidirect
126. #14583182C22semidirect
128. #14583155C22semidirect
130. #14583154C22semidirect
132. #14583147C22semidirect
134. #14583146C22semidirect
135. #14583139C22semidirect
137. #14583131C22semidirect
140. #14583128C22semidirect
141. #14583006C22semidirect
142. #14583004C22semidirect
143. #14582998C22semidirect
144. #14582997C22semidirect
145. #14582991C22semidirect
146. C4×#10621873C22semidirect
147. #14582984C22semidirect
155. #14582942C22semidirect
156. #14582942C22semidirect
166. #14582940C22semidirect
167. #14582940C22semidirect
170. #14582934C22semidirect
173. C2×#13063257C22semidirect
177. #106×D43C22semidirect
190. C43×#499C22semidirect
191. C43×#485C22semidirect
192. C43×#485C22semidirect
195. C43×#479C22semidirect
196. C43×#479C22semidirect
198. C43×#467C22semidirect
199. C4×Q16×C43C22semidirect
201. C43×#427C22semidirect
675. #10621872#41semidirect
839. #3336D43semidirect
917. #499C2×D43semidirect
926. #485C2×D43semidirect
927. #485C2×D43semidirect
956. #479C2×D43semidirect
957. #479C2×D43semidirect
979. #467C2×D43semidirect
989. C4×Q16C2×D43semidirect
1016. #427C2×D43semidirect
1035. C43#61271semidirect

Maximal subgroups

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

subgroupindex
#191483362
#191482952
#191472122
#191472082
#191471542
#191471532
#191471372
#191471362
#191470572
#191470562
#191470502
#191470352
#191470312
#191469612
#191469532
#191469452
#191451242
#191445812
#191445612
#191445092
#483×D432
#191444602
#191444342
#191442852
#191442222
#191434332
#191433152
#191431872
C2×#145829402
C43×#33362
#6127143