Finite Group Databasebeta

← #25982057

Subgroups — #25982057

Order 11008.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×#10621898C211yesmaximal, characteristic, complemented
2#19146857C211yesmaximal, characteristic, complemented
3#19146805C211yesmaximal, characteristic, complemented
4#19146760C211yesmaximal, characteristic, complemented
5#19146730C211yesmaximal, characteristic, complemented
6#19146715C211yesmaximal, characteristic, complemented
7#19146685C211yesmaximal, characteristic, complemented
8#19146491C211yesmaximal, characteristic, complemented
9#19146439C211yesmaximal, characteristic, complemented
10#19146332C211yesmaximal, characteristic, complemented
11#19146303C211yesmaximal, characteristic, complemented
12#19146222C211yesmaximal, characteristic, complemented
13#19146202C211yesmaximal, characteristic, complemented
14#19146161C211yesmaximal, characteristic, complemented
15#19146131C211yesmaximal, characteristic, complemented
16#19146116C211yesmaximal, characteristic, complemented
17#19146091C211yesmaximal, characteristic, complemented
18#19145628C211yesmaximal, characteristic, complemented
19#19145567C211yesmaximal, characteristic, complemented
20#19145432C211yesmaximal, characteristic, complemented
21#19145425C211yesmaximal, characteristic, complemented
22#19145383C211yesmaximal, characteristic, complemented
23#19145360C211yesmaximal, characteristic, complemented
24#19144698C211yesmaximal, characteristic, complemented
25#19144607C211yesmaximal, characteristic, complemented
26#19143845C211yesmaximal, characteristic, complemented
27#19143835C211yesmaximal, characteristic, complemented
28#19143811C211yesmaximal, characteristic, complemented
29C2×#14583059C211yesmaximal, characteristic, complemented
30#19143630C211yesmaximal, characteristic, complemented
31C43×#3505C211yesmaximal, characteristic, complemented
32C22×#10621898C2211yescharacteristic
33C22×#10621898C2211yescharacteristic, complemented
34C2×#13063355C2211yescharacteristic, complemented
35C2×#13063351C2211yescharacteristic, complemented
36C2×#13063351C2211yescharacteristic, complemented
37C2×#13063350C2211yescharacteristic, complemented
38C2×#13063345C2211yescharacteristic, complemented
39C2×#13063345C2211yescharacteristic, complemented
40C22×#10621885C2211yescharacteristic, complemented
41C22×#10621884C2211yescharacteristic, complemented
42#14583570C2211yescharacteristic
43D4×Dic86C2211yescharacteristic, complemented
44#14583558C2211yescharacteristic
45#14583558C2211yescharacteristic, complemented
46#14583554C2211yescharacteristic
47#14583550—21no—
48#14583545C2211yescharacteristic
49#14583545C2211yescharacteristic, complemented
50#14583539—21no—
51#14583539—21no—
52D4×D172C2211yescharacteristic, complemented
53D4×C22⋊D43—21no—
54#14583449C2211yescharacteristic, complemented
55#14583446—21no—
56#14583410C2211yescharacteristic
57#14583410C2211yescharacteristic, complemented
58#14583408—21no—
59#14583408—21no—
60C4×#10621898C2211yescharacteristic, complemented
61C4×D4×D43—21no—
62#14583294C2211yescharacteristic, complemented
63#14583289C2211yescharacteristic, complemented
64#14583281C2211yescharacteristic, complemented
65#14583281C2211yescharacteristic, complemented
66#14583269C2211yescharacteristic, complemented
67#14583265C2211yescharacteristic, complemented
68#14583256C2211yescharacteristic, complemented
69#14583256C2211yescharacteristic, complemented
70#14583240C2211yescharacteristic, complemented
71#14583240C2211yescharacteristic, complemented
72#14583237C2211yescharacteristic, complemented
73#14583237C2211yescharacteristic, complemented
74#14583234C2211yescharacteristic, complemented
75#14583234C2211yescharacteristic, complemented
76#14583223C2211yescharacteristic, complemented
77#14583223C2211yescharacteristic, complemented
78#14583220C2211yescharacteristic, complemented
79#14583220C2211yescharacteristic, complemented
80#14583217C2211yescharacteristic, complemented
81#14583217C2211yescharacteristic, complemented
82#14583203C2211yescharacteristic, complemented
83#14583203C2211yescharacteristic, complemented
84#14583196C2211yescharacteristic, complemented
85#14583196C2211yescharacteristic, complemented
86#14583155C2211yescharacteristic, complemented
87#14583155C2211yescharacteristic, complemented
88#14583155C2211yescharacteristic, complemented
89#14583150C2211yescharacteristic, complemented
90#14583147C2211yescharacteristic, complemented
91#14583147C2211yescharacteristic, complemented
92#14583147C2211yescharacteristic, complemented
93#14583143C2211yescharacteristic, complemented
94#14583138C2211yescharacteristic, complemented
95#14583133C2211yescharacteristic, complemented
96#14583133C2211yescharacteristic, complemented
97#14583133C2211yescharacteristic, complemented
98#14583130C2211yescharacteristic, complemented
99#14583126C2211yescharacteristic, complemented
100#14583126C2211yescharacteristic, complemented
101#14583126C2211yescharacteristic, complemented
102#14583121C2211yescharacteristic, complemented
103#14583121C2211yescharacteristic, complemented
104#14583118C2211yescharacteristic, complemented
105#14583118C2211yescharacteristic, complemented
106#14583114C2211yescharacteristic, complemented
107#14583114C2211yescharacteristic, complemented
108#14583111C2211yescharacteristic, complemented
109#14583111C2211yescharacteristic, complemented
110#14583109C2211yescharacteristic, complemented
111#14583104C2211yescharacteristic, complemented
112#14583099C2211yescharacteristic, complemented
113#14583094C2211yescharacteristic, complemented
114#14583061C2211yescharacteristic, complemented
115#14583061C2211yescharacteristic, complemented
116#14583059C2211yescharacteristic, complemented
117#14583059C2211yescharacteristic, complemented
118#14583059C2211yescharacteristic, complemented
119#14583059C2211yescharacteristic, complemented
120#14583059C2211yescharacteristic, complemented
121#14583059C2211yescharacteristic, complemented
122#14583059C2211yescharacteristic, complemented
123#14583059C2211yescharacteristic, complemented
124#14583059C2211yescharacteristic, complemented
125#14583059C2211yescharacteristic, complemented
126#14583059C2211yescharacteristic, complemented
127#14583059C2211yescharacteristic, complemented
128#14583055C2211yescharacteristic, complemented
129#14583054C2211yescharacteristic, complemented
130#14583050C2211yescharacteristic, complemented
131#14583049C2211yescharacteristic, complemented
132#14583044C2211yescharacteristic, complemented
133#14583044C2211yescharacteristic, complemented
134#14583042C2211yescharacteristic
135#14583042C2211yescharacteristic
136#14583042C2211yescharacteristic, complemented
137#14583042C2211yescharacteristic, complemented
138#14583042C2211yescharacteristic, complemented
139#14583042C2211yescharacteristic, complemented
140#14583042C2211yescharacteristic, complemented
141#14583042C2211yescharacteristic, complemented
142#14583038C2211yescharacteristic, complemented
143#14583037C2211yescharacteristic, complemented
144#14583037C2211yescharacteristic, complemented
145#14583037C2211yescharacteristic, complemented
146#14583033C2211yescharacteristic, complemented
147#14583032C2211yescharacteristic, complemented
148#14583032C2211yescharacteristic, complemented
149#14583032C2211yescharacteristic, complemented
150#14583009C2211yescharacteristic, complemented
151#14583004C2211yescharacteristic, complemented
152#14582999C2211yescharacteristic, complemented
153#14582997C2211yescharacteristic, complemented
154C4×#10621885C2211yescharacteristic, complemented
155C4×#10621884C2211yescharacteristic, complemented
156C4×#10621883C2211yescharacteristic, complemented
157C4×#10621882C2211yescharacteristic, complemented
158#14582977C2211yescharacteristic, complemented
159#14582977C2211yescharacteristic, complemented
160#14582971C2211yescharacteristic, complemented
161#14582971C2211yescharacteristic, complemented
162#14582971C2211yescharacteristic, complemented
163#14582971C2211yescharacteristic, complemented
164D4×C43⋊C8C2211yescharacteristic, complemented
165D4×C43⋊C8C2211yescharacteristic, complemented
166#14582956C2211yescharacteristic, complemented
167#14582952C2211yescharacteristic, complemented
168#14582907C2211yescharacteristic, complemented
169#14582903C2211yescharacteristic, complemented
170#14582898C2211yescharacteristic, complemented
171#14582898C2211yescharacteristic, complemented
172#14582893C2211yescharacteristic, complemented
173#14582893C2211yescharacteristic, complemented
174C2×#13063248C2211yescharacteristic, complemented
175C2×#13063245C2211yescharacteristic, complemented
176#14582863C2211yescharacteristic, complemented
177#14582863C2211yescharacteristic, complemented
178C2×C22⋊(C43⋊C8)C2211yescharacteristic, complemented
179C2×C22⋊(C43⋊C8)C2211yescharacteristic, complemented
180C43×#553—21no—
181C43×#553—21no—
182C43×#553C2211yescharacteristic
183C43×#553C2211yescharacteristic, complemented
184C43×#552C2211yescharacteristic, complemented
185C43×#552C2211yescharacteristic, complemented
186C43×#551—21no—
187C43×#551—21no—
188C43×#548C2211yescharacteristic
189C43×#548C2211yescharacteristic, complemented
190C43×#546C2211yescharacteristic, complemented
191C43×#546C2211yescharacteristic, complemented
192C43×#539—21no—
193C43×#538—21no—
194C43×#534—21no—
195C43×#529C2211yescharacteristic, complemented
196C43×#529C2211yescharacteristic, complemented
197C43×#525C2211yescharacteristic, complemented
198C43×#525C2211yescharacteristic, complemented
199C2×C22⋊Q8×C43C2211yescharacteristic, complemented
200C2×#121×C43C2211yescharacteristic, complemented
201C43×#518—21no—
202C2×C4×D4×C43C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×#10621898—21no—
206C2×#10621898—21no—
207C2×#10621898—42no—
208C2×#10621898—42no—
209C2×#10621898—42no—
210C2×#10621898—42no—
211C2×#10621898C2311yescharacteristic
212C2×#10621898C2311yescharacteristic
213C2×#10621898C2311yescharacteristic
214C2×#10621898C2311yescharacteristic
215C2×#10621898C2311yescharacteristic
216C2×#10621898C2311yescharacteristic
217C2×#10621898C2311yescharacteristic
218C22×Dic86C2311yescharacteristic
219C22×Dic86C2311yescharacteristic
220C22×D172C2311yescharacteristic
221C22×D172C2311yescharacteristic
222C22×C22⋊D43—21no—
223C22×C22⋊D43—21no—
224C2×D4×D43—21no—
225C22×C4×D43—21no—
226C22×C4×D43—21no—
227#13063355—42no—
228#13063351—42no—
229#13063351—42no—
230#13063350—42no—
231#13063345—42no—
232#13063345—42no—
233C2×#10621885—42no—
234C2×#10621885C2311yescharacteristic
235C2×#10621885C2311yescharacteristic
236C2×#10621885C2311yescharacteristic
237C2×#10621885C2311yescharacteristic
238C2×#10621885C2311yescharacteristic
239C2×#10621885C2311yescharacteristic
240C2×#10621883C2311yescharacteristic
241C2×#10621883C2311yescharacteristic
242C2×#10621883C2311yescharacteristic
243C2×#10621883C2311yescharacteristic
244C2×#10621883C2311yescharacteristic
245C2×#10621883C2311yescharacteristic
246C2×#10621884—42no—
247C2×#10621884C2311yescharacteristic
248C2×#10621884C2311yescharacteristic
249C2×#10621884C2311yescharacteristic
250C2×#10621884C2311yescharacteristic
251C2×#10621884C2311yescharacteristic
252C2×#10621884C2311yescharacteristic
253C2×#10621882C2311yescharacteristic
254C2×#10621882C2311yescharacteristic
255C2×#10621882C2311yescharacteristic
256C2×#10621882C2311yescharacteristic
257C2×#10621882C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621877C2311yescharacteristic
260C2×#10621877C2311yescharacteristic
261C2×#10621877C2311yescharacteristic
262C2×#10621877C2311yescharacteristic
263C22×C43⋊C8C2311yescharacteristic
264C22×C43⋊C8C2311yescharacteristic
265C22×C43⋊C8C2311yescharacteristic
266C22×C43⋊C8C2311yescharacteristic
267#13063325C2311yescharacteristic
268#13063324—21no—
269#13063322C2311yescharacteristic
270#13063321—21no—
271#13063313C2311yescharacteristic
272#13063313C2311yescharacteristic
273#13063311—21no—
274#13063311—21no—
275#13063310—21no—
276#13063310—21no—
277#13063308—21no—
278#13063308—21no—
279#13063307—21no—
280#13063307—21no—
281#13063304C2311yescharacteristic
282#13063304C2311yescharacteristic
283#13063304C2311yescharacteristic
284#13063304C2311yescharacteristic
285#13063303—21no—
286#13063303—21no—
287#13063302—21no—
288#13063302—21no—
289#13063300—21no—
290#13063299—21no—
291#13063299—21no—
292#13063299C2311yescharacteristic
293#13063299C2311yescharacteristic
294#13063299C2311yescharacteristic
295#13063299C2311yescharacteristic
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063297—21no—
301#13063297—21no—
302#13063296—21no—
303#13063295—21no—
304#13063295—21no—
305#13063294—21no—
306#13063294—21no—
307#13063293—21no—
308#13063293—21no—
309C4×Dic86C2311yescharacteristic
310C4×Dic86C2311yescharacteristic
311C4×D172—21no—
312C4×D172—21no—
313C4×D172C2311yescharacteristic
314C4×D172C2311yescharacteristic
315D4×Dic43—21no—
316#13063287—21no—
317C4×C22⋊D43—21no—
318C4×C22⋊D43—21no—
319C4×C22⋊D43—21no—
320C4×C22⋊D43—21no—
321C4×C22⋊D43—21no—
322C4×C22⋊D43—21no—
323(C22⋊D43)⋊C4—21no—
324(C22⋊D43)⋊C4—21no—
325#13063284C2311yescharacteristic
326#13063282—21no—
327C4⋊C4×D43—21no—
328C22⋊C4×D43—21no—
329C22⋊C4×D43—21no—
330C42×D43—21no—
331#13063258C2311yescharacteristic
332#13063258C2311yescharacteristic
333#13063258C2311yescharacteristic
334#13063258C2311yescharacteristic
335#13063256C2311yescharacteristic
336#13063256C2311yescharacteristic
337#13063256C2311yescharacteristic
338#13063256C2311yescharacteristic
339C4⋊(C43⋊C8)C2311yescharacteristic
340C4⋊(C43⋊C8)C2311yescharacteristic
341C4⋊(C43⋊C8)C2311yescharacteristic
342C4⋊(C43⋊C8)C2311yescharacteristic
343#13063249C2311yescharacteristic
344#13063249C2311yescharacteristic
345#13063249C2311yescharacteristic
346#13063249C2311yescharacteristic
347#13063248C2311yescharacteristic
348#13063248C2311yescharacteristic
349#13063248C2311yescharacteristic
350#13063248C2311yescharacteristic
351#13063248C2311yescharacteristic
352#13063248C2311yescharacteristic
353#13063248C2311yescharacteristic
354#13063248C2311yescharacteristic
355#13063248C2311yescharacteristic
356#13063248C2311yescharacteristic
357#13063248C2311yescharacteristic
358#13063248C2311yescharacteristic
359#13063246C2311yescharacteristic
360#13063246C2311yescharacteristic
361#13063246C2311yescharacteristic
362#13063246C2311yescharacteristic
363#13063245C2311yescharacteristic
364#13063245C2311yescharacteristic
365#13063245C2311yescharacteristic
366#13063245C2311yescharacteristic
367#13063245C2311yescharacteristic
368#13063245C2311yescharacteristic
369#13063245C2311yescharacteristic
370#13063245C2311yescharacteristic
371#13063245C2311yescharacteristic
372#13063245C2311yescharacteristic
373#13063245C2311yescharacteristic
374#13063245C2311yescharacteristic
375C22⋊(C43⋊C8)C2311yescharacteristic
376C22⋊(C43⋊C8)C2311yescharacteristic
377C22⋊(C43⋊C8)C2311yescharacteristic
378C22⋊(C43⋊C8)C2311yescharacteristic
379C22⋊(C43⋊C8)C2311yescharacteristic
380C22⋊(C43⋊C8)C2311yescharacteristic
381C22⋊(C43⋊C8)C2311yescharacteristic
382C22⋊(C43⋊C8)C2311yescharacteristic
383C22⋊(C43⋊C8)C2311yescharacteristic
384C22⋊(C43⋊C8)C2311yescharacteristic
385C22⋊(C43⋊C8)C2311yescharacteristic
386C22⋊(C43⋊C8)C2311yescharacteristic
387#13063236C2311yescharacteristic
388#13063236C2311yescharacteristic
389C4×C43⋊C8C2311yescharacteristic
390C4×C43⋊C8C2311yescharacteristic
391C2×#41×C43C2311yescharacteristic
392C2×#41×C43C2311yescharacteristic
393C22×Q8×C43C2311yescharacteristic
394C22×D4×C43—21no—
395C22×D4×C43D411yescharacteristic
396C22×D4×C43C2311yescharacteristic
397C23×C4×C43C2311yescharacteristic
398C23×C4×C43C2311yescharacteristic
399#126×C43—21no—
400#126×C43—21no—
401#126×C43—21no—
402#126×C43—21no—
403#126×C43—21no—
404#126×C43—21no—
405#125×C43—21no—
406#125×C43—21no—
407#125×C43C2311yescharacteristic
408#125×C43C2311yescharacteristic
409#124×C43—21no—
410#124×C43—21no—
411#124×C43C2311yescharacteristic
412#124×C43C2311yescharacteristic
413#123×C43—21no—
414#123×C43—21no—
415#123×C43—21no—
416#123×C43—21no—
417#123×C43—21no—
418#123×C43—21no—
419#123×C43—21no—
420#123×C43—21no—
421#123×C43—21no—
422#123×C43—21no—
423C22⋊Q8×C43—21no—
424C22⋊Q8×C43—21no—
425C22⋊Q8×C43—21no—
426C22⋊Q8×C43—21no—
427C22⋊Q8×C43C2311yescharacteristic
428C22⋊Q8×C43C2311yescharacteristic
429C22⋊Q8×C43C2311yescharacteristic
430C22⋊Q8×C43C2311yescharacteristic
431C22⋊Q8×C43C2311yescharacteristic
432C22⋊Q8×C43C2311yescharacteristic
433#121×C43—21no—
434#121×C43—21no—
435#121×C43—21no—
436#121×C43—21no—
437#121×C43—21no—
438#121×C43—21no—
439#121×C43—21no—
440#121×C43—21no—
441#121×C43C2311yescharacteristic
442#121×C43C2311yescharacteristic
443#121×C43C2311yescharacteristic
444#121×C43C2311yescharacteristic
445#121×C43C2311yescharacteristic
446#121×C43C2311yescharacteristic
447#120×C43—21no—
448#120×C43—21no—
449#120×C43—21no—
450#120×C43—21no—
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×D4×C43—21no—
454C4×D4×C43—21no—
455C4×D4×C43—21no—
456C4×D4×C43—21no—
457C4×D4×C43—21no—
458C4×D4×C43—21no—
459C4×D4×C43—21no—
460C4×D4×C43—21no—
461C4×D4×C43—21no—
462C4×D4×C43—21no—
463C4×D4×C43D411yescharacteristic
464C4×D4×C43D411yescharacteristic
465C4×D4×C43D411yescharacteristic
466C4×D4×C43D411yescharacteristic
467C4×D4×C43C2311yescharacteristic
468C4×D4×C43C2311yescharacteristic
469C4×D4×C43C2311yescharacteristic
470C4×D4×C43C2311yescharacteristic
471C4×D4×C43C2311yescharacteristic
472C4×D4×C43C2311yescharacteristic
473#117×C43—21no—
474#117×C43—21no—
475#117×C43—21no—
476#117×C43—21no—
477#117×C43C2311yescharacteristic
478#117×C43C2311yescharacteristic
479C2×C4⋊C4×C43—21no—
480C2×C4⋊C4×C43D411yescharacteristic
481C2×C4⋊C4×C43C2311yescharacteristic
482C2×C4⋊C4×C43C2311yescharacteristic
483C2×C22⋊C4×C43—21no—
484C2×C22⋊C4×C43—21no—
485C2×C22⋊C4×C43—21no—
486C2×C22⋊C4×C43—21no—
487C2×C22⋊C4×C43D411yescharacteristic
488C2×C22⋊C4×C43D411yescharacteristic
489C2×C42×C43C2311yescharacteristic
490C24×C43—21no—
491C24×C43C2×D411yescharacteristic
492C24×C43C2×D411yescharacteristic
493C23×D43—21no—
494C23×D43—21no—
495#41×C43—41no—
496#41×C43—41no—
497#41×C43—41no—
498#41×C43—41no—
499C2×Q8×C43—21no—
500C2×Q8×C43—41no—
501C2×Q8×C43—41no—
502C2×Q8×C43C2411yescharacteristic
503C2×Q8×C43C2411yescharacteristic
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43—21no—
509C2×D4×C43—21no—
510C2×D4×C43—21no—
511C2×D4×C43—21no—
512C2×D4×C43—21no—
513C2×D4×C43—42no—
514C2×D4×C43—44no—
515C2×D4×C43—41no—
516C2×D4×C43—41no—
517C2×D4×C43C2×D411yescharacteristic
518C2×D4×C43C2×D411yescharacteristic
519C2×D4×C43C2×D411yescharacteristic
520C2×D4×C43C2×D411yescharacteristic
521C2×D4×C43C2411yescharacteristic
522C2×D4×C43C2411yescharacteristic
523C22×C4×C43—21no—
524C22×C4×C43—21no—
525C22×C4×C43—21no—
526C22×C4×C43—21no—
527C22×C4×C43—21no—
528C22×C4×C43—21no—
529C22×C4×C43—21no—
530C22×C4×C43—41no—
531C22×C4×C43—41no—
532C22×C4×C43—41no—
533C22×C4×C43—41no—
534C22×C4×C43C2×D411yescharacteristic
535C22×C4×C43C2×D411yescharacteristic
536C22×C4×C43C2×D411yescharacteristic
537C22×C4×C43C2×D411yescharacteristic
538C22×C4×C43C2×D411yescharacteristic
539C22×C4×C43C2×D411yescharacteristic
540C22×C4×C43C2×D411yescharacteristic
541C22×C4×C43C2×D411yescharacteristic
542C22×C4×C43C2411yescharacteristic
543C22×C4×C43C2411yescharacteristic
544C22×C4×C43C2411yescharacteristic
545C22×C4×C43C2411yescharacteristic
546C22×C4×C43C2411yescharacteristic
547C2×C22⋊D43—21no—
548C2×C22⋊D43—21no—
549C2×C22⋊D43—21no—
550C2×C22⋊D43—21no—
551C2×C22⋊D43—21no—
552C2×C22⋊D43—21no—
553C2×C22⋊D43—21no—
554C2×C22⋊D43—21no—
555C2×C22⋊D43—21no—
556C2×C22⋊D43—21no—
557C2×C22⋊D43—21no—
558C2×C22⋊D43—44no—
559C2×C22⋊D43—44no—
560C22×Dic43—21no—
561C22×Dic43—21no—
562D4×D43—44no—
563#10621898—22no—
564#10621898—22no—
565#10621898—22no—
566#10621898—22no—
567#10621898—22no—
568#10621898—22no—
569#10621898—41no—
570#10621898—41no—
571#10621898—41no—
572#10621898—41no—
573#10621898—41no—
574#10621898—41no—
575#10621898—41no—
576#10621898—41no—
577#10621898—44no—
578#10621898—44no—
579#10621898—44no—
580#10621898—44no—
581C2×D172—21no—
582C2×D172—21no—
583C2×D172—21no—
584C2×D172—21no—
585C2×D172—22no—
586C2×D172—22no—
587C2×D172—41no—
588C2×D172—41no—
589C2×D172C2411yescharacteristic
590C2×D172C2411yescharacteristic
591C2×D172C2411yescharacteristic
592C2×C4×D43—21no—
593C2×C4×D43—21no—
594C2×C4×D43—21no—
595C2×C4×D43—21no—
596C2×C4×D43—21no—
597C2×C4×D43—21no—
598C2×C4×D43—21no—
599C2×C4×D43—21no—
600C2×C4×D43—21no—
601C2×C4×D43—44no—
602C2×C4×D43—44no—
603C2×Dic86—22no—
604C2×Dic86—22no—
605C2×Dic86—21no—
606C2×Dic86—21no—
607C2×Dic86—41no—
608C2×Dic86—41no—
609C2×Dic86C2411yescharacteristic
610C2×Dic86C2411yescharacteristic
611C2×Dic86C2411yescharacteristic
612C4⋊C4×C43—21no—
613C4⋊C4×C43—21no—
614C4⋊C4×C43—21no—
615C4⋊C4×C43—21no—
616C4⋊C4×C43—21no—
617C4⋊C4×C43—21no—
618C4⋊C4×C43—21no—
619C4⋊C4×C43—21no—
620C4⋊C4×C43—21no—
621C4⋊C4×C43—21no—
622C4⋊C4×C43—21no—
623C4⋊C4×C43—21no—
624C4⋊C4×C43—21no—
625C4⋊C4×C43—21no—
626C4⋊C4×C43C2×D411yescharacteristic
627C4⋊C4×C43C2×D411yescharacteristic
628C4⋊C4×C43C2×D411yescharacteristic
629C4⋊C4×C43C2×D411yescharacteristic
630C4⋊C4×C43C2411yescharacteristic
631C4⋊C4×C43C2411yescharacteristic
632C4⋊C4×C43C2411yescharacteristic
633C4⋊C4×C43C2411yescharacteristic
634C22⋊C4×C43—21no—
635C22⋊C4×C43—21no—
636C22⋊C4×C43—21no—
637C22⋊C4×C43—21no—
638C22⋊C4×C43—21no—
639C22⋊C4×C43—21no—
640C22⋊C4×C43—21no—
641C22⋊C4×C43—21no—
642C22⋊C4×C43—21no—
643C22⋊C4×C43—21no—
644C22⋊C4×C43—21no—
645C22⋊C4×C43—21no—
646C22⋊C4×C43—21no—
647C22⋊C4×C43—21no—
648C22⋊C4×C43—21no—
649C22⋊C4×C43—21no—
650C22⋊C4×C43—21no—
651C22⋊C4×C43—21no—
652C22⋊C4×C43—21no—
653C22⋊C4×C43—21no—
654C22⋊C4×C43C2×D411yescharacteristic
655C22⋊C4×C43C2×D411yescharacteristic
656C22⋊C4×C43C2×D411yescharacteristic
657C22⋊C4×C43C2×D411yescharacteristic
658C22⋊C4×C43C2×D411yescharacteristic
659C22⋊C4×C43C2×D411yescharacteristic
660C22⋊C4×C43C2×D411yescharacteristic
661C22⋊C4×C43C2×D411yescharacteristic
662C42×C43—21no—
663C42×C43—21no—
664C42×C43—21no—
665C42×C43—21no—
666C42×C43C2×D411yescharacteristic
667C42×C43C2×D411yescharacteristic
668C42×C43C2411yescharacteristic
669C42×C43C2411yescharacteristic
670C22⋊Dic43—21no—
671C22⋊Dic43—21no—
672C22⋊Dic43—21no—
673C22⋊Dic43—21no—
674C22⋊Dic43—21no—
675#10621885—22no—
676#10621885—22no—
677#10621885—41no—
678#10621885—41no—
679#10621885—41no—
680#10621885—41no—
681#10621884—22no—
682#10621884—22no—
683#10621884—41no—
684#10621884—41no—
685#10621884—41no—
686#10621884—41no—
687#10621883—22no—
688#10621883—22no—
689#10621883—41no—
690#10621883—41no—
691#10621883—41no—
692#10621883—41no—
693#10621882—22no—
694#10621882—22no—
695#10621882—41no—
696#10621882—41no—
697#10621882—41no—
698#10621882—41no—
699(C2×D43)⋊C4—21no—
700(C2×D43)⋊C4—21no—
701(C2×D43)⋊C4—21no—
702(C2×D43)⋊C4—21no—
703(C2×D43)⋊C4—21no—
704(C2×D43)⋊C4—21no—
705(C2×D43)⋊C4—21no—
706(C2×D43)⋊C4—21no—
707(C2×D43)⋊C4—21no—
708(C2×D43)⋊C4—21no—
709C4⋊Dic43—21no—
710C4⋊Dic43—21no—
711C4⋊Dic43C2411yescharacteristic
712C4⋊Dic43C2411yescharacteristic
713Dic43⋊C4—21no—
714Dic43⋊C4—21no—
715Dic43⋊C4—21no—
716Dic43⋊C4—21no—
717Dic43⋊C4—21no—
718Dic43⋊C4—21no—
719C4×Dic43—21no—
720C4×Dic43—21no—
721C4×Dic43—21no—
722#10621877—41no—
723#10621877—41no—
724#10621877—41no—
725#10621877—41no—
726C2×C43⋊C8—41no—
727C2×C43⋊C8—41no—
728C2×C43⋊C8—41no—
729C2×C43⋊C8—41no—
730C2×C43⋊C8C2411yescharacteristic
731C2×C43⋊C8C2411yescharacteristic
732C2×C43⋊C8C2411yescharacteristic
733C2×C43⋊C8C2411yescharacteristic
734C2×C43⋊C8C2411yescharacteristic
735C2×C43⋊C8C2411yescharacteristic
736C2×C43⋊C8C2411yescharacteristic
737C2×C43⋊C8C2411yescharacteristic
738C23×C43—22no—
739C23×C43—21no—
740C23×C43—21no—
741C23×C43—41no—
742C23×C43—41no—
743C23×C43—41no—
744C23×C43—41no—
745C23×C43—41no—
746C23×C43—42no—
747C23×C43—81no—
748C23×C43—81no—
749C23×C43C22×D411yescharacteristic
750C23×C43C22×D411yescharacteristic
751C23×C43C22×D411yescharacteristic
752C23×C43C22×D411yescharacteristic
753C23×C43C22×D411yescharacteristic
754C22×D43—21no—
755C22×D43—21no—
756C22×D43—21no—
757C22×D43—42no—
758C22×D43—42no—
759C22×D43—42no—
760C22×D43—42no—
761C22×D43—81no—
762C22×D43—81no—
763Q8×C43—21no—
764Q8×C43—21no—
765Q8×C43—21no—
766Q8×C43—21no—
767Q8×C43—81no—
768D4×C43—22no—
769D4×C43—22no—
770D4×C43—21no—
771D4×C43—21no—
772D4×C43—21no—
773D4×C43—21no—
774D4×C43—41no—
775D4×C43—41no—
776D4×C43—42no—
777D4×C43—42no—
778D4×C43—42no—
779D4×C43—42no—
780D4×C43—81no—
781D4×C43—81no—
782D4×C43—81no—
783D4×C43—81no—
784D4×C43—81no—
785C2×C4×C43—21no—
786C2×C4×C43—21no—
787C2×C4×C43—21no—
788C2×C4×C43—21no—
789C2×C4×C43—21no—
790C2×C4×C43—21no—
791C2×C4×C43—21no—
792C2×C4×C43—21no—
793C2×C4×C43—21no—
794C2×C4×C43—21no—
795C2×C4×C43—21no—
796C2×C4×C43—21no—
797C2×C4×C43—21no—
798C2×C4×C43—21no—
799C2×C4×C43—21no—
800C2×C4×C43—21no—
801C2×C4×C43—41no—
802C2×C4×C43—41no—
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—42no—
810C2×C4×C43—81no—
811C2×C4×C43—81no—
812C2×C4×C43—81no—
813C2×C4×C43—81no—
814C2×C4×C43—81no—
815C2×C4×C43—81no—
816C2×C4×C43C22×D411yescharacteristic
817C2×C4×C43C22×D411yescharacteristic
818C2×C4×C43C22×D411yescharacteristic
819C2×C4×C43C22×D411yescharacteristic
820C2×C4×C43C22×D411yescharacteristic
821C2×C4×C43C22×D411yescharacteristic
822C2×C4×C43C22×D411yescharacteristic
823C2×C4×C43C22×D411yescharacteristic
824C2×C4×C43C22×D411yescharacteristic
825C2×C4×C43C2511yescharacteristic
826C22⋊D43—24no—
827C22⋊D43—42no—
828C22⋊D43—42no—
829C22⋊D43—42no—
830C22⋊D43—42no—
831C22⋊D43—42no—
832C22⋊D43—42no—
833C22⋊D43—42no—
834C22⋊D43—42no—
835C22⋊D43—81no—
836C22⋊D43—81no—
837C2×Dic43—21no—
838C2×Dic43—21no—
839C2×Dic43—21no—
840C2×Dic43—21no—
841C2×Dic43—21no—
842C2×Dic43—42no—
843C2×Dic43—42no—
844D172—21no—
845D172—21no—
846D172—21no—
847D172—21no—
848D172—21no—
849D172—42no—
850D172—42no—
851D172—42no—
852D172—81no—
853D172H(5,𝔽2)12yes—
854C4×D43—24no—
855C4×D43—42no—
856C4×D43—42no—
857C4×D43—42no—
858C4×D43—42no—
859C4×D43—42no—
860C4×D43—42no—
861C4×D43—42no—
862C4×D43—81no—
863Dic86—21no—
864Dic86—21no—
865Dic86—21no—
866Dic86—21no—
867Dic86—21no—
868Dic86—42no—
869Dic86—42no—
870Dic86H(5,𝔽2)12yes—
871C43⋊C8—21no—
872C43⋊C8—21no—
873C43⋊C8—21no—
874C43⋊C8—21no—
875C43⋊C8—21no—
876C43⋊C8—21no—
877C43⋊C8—21no—
878C43⋊C8—21no—
879#61606—431nomaximal, Sylow
880C22×C43—21no—
881C22×C43—21no—
882C22×C43—21no—
883C22×C43—21no—
884C22×C43—21no—
885C22×C43—21no—
886C22×C43—21no—
887C22×C43—21no—
888C22×C43—21no—
889C22×C43—21no—
890C22×C43—21no—
891C22×C43—21no—
892C22×C43—21no—
893C22×C43—21no—
894C22×C43—41no—
895C22×C43—41no—
896C22×C43—41no—
897C22×C43—41no—
898C22×C43—41no—
899C22×C43—41no—
900C22×C43—82no—
901C22×C43—82no—
902C22×C43—162no—
903C22×C43#57512yes—
904C22×C43C23×D411yescharacteristic
905C2×D43—22no—
906C2×D43—41no—
907C2×D43—41no—
908C2×D43—41no—
909C2×D43—41no—
910C2×D43—41no—
911C2×D43—41no—
912C2×D43—41no—
913C2×D43—41no—
914C2×D43—84no—
915C2×D43—84no—
916C4×C43—21no—
917C4×C43—21no—
918C4×C43—21no—
919C4×C43—21no—
920C4×C43—21no—
921C4×C43—21no—
922C4×C43—21no—
923C4×C43—21no—
924C4×C43—21no—
925C4×C43—41no—
926C4×C43—41no—
927C4×C43—41no—
928C4×C43—41no—
929C4×C43—41no—
930C4×C43—41no—
931C4×C43C2×H(5,𝔽2)11yescharacteristic
932C4×C43C2×H(5,𝔽2)11yescharacteristic
933Dic43—22no—
934Dic43—41no—
935Dic43—41no—
936Dic43—41no—
937Dic43—41no—
938#3505D4311yescharacteristic, complemented
939D4×#41—431no—
940#3327—431no—
941#3323—431no—
942#3320—431no—
943#3318—431no—
944#3317—431no—
945#3315—431no—
946#3301—431no—
947#3297—431no—
948#3285—431no—
949#3282—431no—
950#3275—431no—
951#3273—431no—
952#3270—431no—
953#3268—431no—
954#3267—431no—
955#3265—431no—
956#3219—431no—
957#3212—431no—
958#3197—431no—
959#3196—431no—
960#3191—431no—
961#3188—431no—
962#3111—431no—
963#3102—431no—
964#3006—431no—
965#3005—431no—
966#3002—431no—
967C2×#452—431no—
968#2974—431no—
969C2×C43—22no—
970C2×C43—41no—
971C2×C43—41no—
972C2×C43—41no—
973C2×C43—41no—
974C2×C43—81no—
975C2×C43—81no—
976C2×C43#348411yescharacteristic
977C2×C43C2×#57511yescharacteristic
978C2×C43#358411yescharacteristic
979D43—42no—
980D43—81no—
981D43—81no—
982C22×#41—431no—
983C22×#41—431no—
984C2×#137—431no—
985C2×AGL(1,ℤ/8)—431no—
986C2×AGL(1,ℤ/8)—431no—
987C2×AGL(1,ℤ/8)—431no—
988C2×#135—431no—
989C2×#135—431no—
990C22×Q16—431no—
991C22×SD16—431no—
992#553—21no—
993#553—21no—
994#553C2×D4311yescharacteristic
995#553C2×D4311yescharacteristic, complemented
996#552C2×D4311yescharacteristic, complemented
997#552C2×D4311yescharacteristic, complemented
998#551—21no—
999#551—21no—
1000#550—431no—
1001D4×Q8—431no—
1002#548—431no—
1003#548—431no—
1004#548C2×D4311yescharacteristic
1005#548C2×D4311yescharacteristic, complemented
1006#547—431no—
1007#547—861no—
1008#546—431no—
1009#546—431no—
1010#546—861no—
1011#546—861no—
1012#546C2×D4311yescharacteristic, complemented
1013#546C2×D4311yescharacteristic, complemented
1014D42—431no—
1015D42—861no—
1016#539—21no—
1017#538—21no—
1018#534—21no—
1019#532—431no—
1020#532—861no—
1021#529C2×D4311yescharacteristic, complemented
1022#529C2×D4311yescharacteristic, complemented
1023#525—431no—
1024#525—431no—
1025#525—861no—
1026#525—861no—
1027#525C2×D4311yescharacteristic, complemented
1028#525C2×D4311yescharacteristic, complemented
1029C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1030C2×#121C2×D4311yescharacteristic, complemented
1031#518—21no—
1032C4×#41—431no—
1033C2×C4×D4—861no—
1034C2×C4×D4C2×D4311yescharacteristic
1035#497—431no—
1036#496—431no—
1037#495—431no—
1038#495—431no—
1039#491—431no—
1040#490—431no—
1041#488—431no—
1042#488—431no—
1043#485—431no—
1044#485—431no—
1045#485—431no—
1046#485—431no—
1047#484—431no—
1048#484—431no—
1049#482—431no—
1050#482—431no—
1051#482—431no—
1052#482—431no—
1053#481—431no—
1054#481—431no—
1055#479—431no—
1056#479—431no—
1057#478—431no—
1058#478—431no—
1059#470—431no—
1060#470—431no—
1061#470—431no—
1062#469—431no—
1063#468—431no—
1064#468—431no—
1065#468—431no—
1066#468—431no—
1067#467—431no—
1068#466—431no—
1069#466—431no—
1070#466—431no—
1071#465—431no—
1072#465—431no—
1073#465—431no—
1074#465—431no—
1075#464—431no—
1076#464—431no—
1077#464—431no—
1078#464—431no—
1079#463—431no—
1080#463—431no—
1081#463—431no—
1082#463—431no—
1083#462—431no—
1084#461—431no—
1085#460—431no—
1086#459—431no—
1087#452—431no—
1088#452—431no—
1089#452—431no—
1090#452—431no—
1091#452—431no—
1092#452—431no—
1093#452—431no—
1094#452—431no—
1095#452—431no—
1096#452—431no—
1097#452—431no—
1098#452—431no—
1099#452—431no—
1100#452—431no—
1101#451—431no—
1102#451—431no—
1103#450—431no—
1104#450—431no—
1105#449—431no—
1106#449—431no—
1107#449—431no—
1108#449—431no—
1109#449—431no—
1110#449—431no—
1111#449—431no—
1112#449—431no—
1113#449—431no—
1114#449—431no—
1115#448—431no—
1116#448—431no—
1117#448—431no—
1118#448—431no—
1119#447—431no—
1120#447—431no—
1121#447—431no—
1122#447—431no—
1123#442—431no—
1124#441—431no—
1125#440—431no—
1126#440—431no—
1127C4×Q16—431no—
1128C4×SD16—431no—
1129C4×SD16—431no—
1130C4×D8—431no—
1131#436—431no—
1132#436—431no—
1133#435—431no—
1134#435—431no—
1135#435—431no—
1136#435—431no—
1137C8×D4—431no—
1138C8×D4—431no—
1139#432—431no—
1140#431—431no—
1141#419—431no—
1142#418—431no—
1143#417—431no—
1144#417—431no—
1145#416—431no—
1146#416—431no—
1147C2×#103—431no—
1148C2×#102—431no—
1149#407—431no—
1150#407—431no—
1151C2×C22⋊C8—431no—
1152C2×C22⋊C8—431no—
1153C43#6160611yescharacteristic, complemented, Sylow
1154C2×#41—431no—
1155C2×#41—431no—
1156C2×#41—431no—
1157C2×#41—431no—
1158C2×#41—431no—
1159C2×#41—431no—
1160C2×#41—431no—
1161C2×#41—861no—
1162C2×#41—861no—
1163C2×#41—861no—
1164C2×#41—861no—
1165C2×#41—1722no—
1166C2×#41—1722no—
1167C2×#41—1722no—
1168C2×#41—1722no—
1169C2×#41C22×D4311yescharacteristic
1170C2×#41C22×D4311yescharacteristic
1171C22×Q8—431no—
1172C22×Q8—431no—
1173C22×Q8C22×D4311yescharacteristic
1174C22×D4—21no—
1175C22×D4—431no—
1176C22×D4—431no—
1177C22×D4—861no—
1178C22×D4—861no—
1179C22×D4—861no—
1180C22×D4C22⋊D4311yescharacteristic
1181C22×D4C22×D4311yescharacteristic
1182C23×C4—861no—
1183C23×C4—861no—
1184C23×C4C22×D4311yescharacteristic
1185C23×C4C22×D4311yescharacteristic
1186#137—1722no—
1187AGL(1,ℤ/8)—1722no—
1188AGL(1,ℤ/8)—1722no—
1189AGL(1,ℤ/8)—1722no—
1190#135—1722no—
1191#135—1722no—
1192C2×Q16—431no—
1193C2×Q16—431no—
1194C2×Q16—431no—
1195C2×Q16—431no—
1196C2×Q16—431no—
1197C2×Q16—431no—
1198C2×Q16—1722no—
1199C2×SD16—431no—
1200C2×SD16—431no—
1201C2×SD16—431no—
1202C2×SD16—431no—
1203C2×SD16—431no—
1204C2×SD16—431no—
1205C2×SD16—431no—
1206C2×SD16—431no—
1207C2×SD16—431no—
1208C2×SD16—431no—
1209C2×SD16—431no—
1210C2×SD16—431no—
1211C2×SD16—1722no—
1212C2×D8—431no—
1213C2×D8—431no—
1214C2×D8—431no—
1215C2×D8—431no—
1216C2×D8—431no—
1217C2×D8—431no—
1218C2×M16—431no—
1219C2×M16—431no—
1220C2×M16—431no—
1221C2×M16—431no—
1222C22×C8—431no—
1223C22×C8—431no—
1224C22×C8—431no—
1225C22×C8—431no—
1226C4⋊Q8—431no—
1227C4⋊Q8—861no—
1228#127—431no—
1229#127—861no—
1230#126—21no—
1231#126—21no—
1232#126—21no—
1233#126—21no—
1234#126—21no—
1235#126—21no—
1236#125—21no—
1237#125—21no—
1238#125C22×D4311yescharacteristic
1239#125C22×D4311yescharacteristic
1240#124—21no—
1241#124—21no—
1242#124—431no—
1243#124—431no—
1244#124—861no—
1245#124—861no—
1246#124C22×D4311yescharacteristic
1247#124C22×D4311yescharacteristic
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123—21no—
1255#123—21no—
1256#123—21no—
1257#123—21no—
1258#123—861no—
1259#123—861no—
1260#123—861no—
1261#123—861no—
1262#123—861no—
1263#123—861no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—431no—
1269C22⋊Q8—431no—
1270C22⋊Q8—431no—
1271C22⋊Q8—431no—
1272C22⋊Q8—861no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8C22×D4311yescharacteristic
1277C22⋊Q8C22×D4311yescharacteristic
1278C22⋊Q8C22×D4311yescharacteristic
1279C22⋊Q8C22×D4311yescharacteristic
1280C22⋊Q8C22×D4311yescharacteristic
1281C22⋊Q8C22×D4311yescharacteristic
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—431no—
1291#121—431no—
1292#121—431no—
1293#121—431no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121—861no—
1304#121C22×D4311yescharacteristic
1305#121C22×D4311yescharacteristic
1306#121C22×D4311yescharacteristic
1307#121C22×D4311yescharacteristic
1308#121C22×D4311yescharacteristic
1309#121C22×D4311yescharacteristic
1310#120—21no—
1311#120—21no—
1312#120—21no—
1313#120—21no—
1314#120—861no—
1315#120—861no—
1316#120—861no—
1317#120—861no—
1318#120—861no—
1319#120—861no—
1320C4×Q8—431no—
1321C4×Q8—431no—
1322C4×Q8C22×D4311yescharacteristic
1323C4×Q8C22×D4311yescharacteristic
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—431no—
1335C4×D4—431no—
1336C4×D4—861no—
1337C4×D4—861no—
1338C4×D4—861no—
1339C4×D4—861no—
1340C4×D4—861no—
1341C4×D4—861no—
1342C4×D4—861no—
1343C4×D4—861no—
1344C4×D4—861no—
1345C4×D4—861no—
1346C4×D4—861no—
1347C4×D4—861no—
1348C4×D4C22⋊D4311yescharacteristic
1349C4×D4C22⋊D4311yescharacteristic
1350C4×D4C22⋊D4311yescharacteristic
1351C4×D4C22⋊D4311yescharacteristic
1352C4×D4C22×D4311yescharacteristic
1353C4×D4C22×D4311yescharacteristic
1354C4×D4C22×D4311yescharacteristic
1355C4×D4C22×D4311yescharacteristic
1356C4×D4C22×D4311yescharacteristic
1357C4×D4C22×D4311yescharacteristic
1358#117—21no—
1359#117—21no—
1360#117—21no—
1361#117—21no—
1362#117—431no—
1363#117—861no—
1364#117C22×D4311yescharacteristic
1365#117C22×D4311yescharacteristic
1366C2×C4⋊C4—21no—
1367C2×C4⋊C4—861no—
1368C2×C4⋊C4C22⋊D4311yescharacteristic
1369C2×C4⋊C4C22×D4311yescharacteristic
1370C2×C4⋊C4C22×D4311yescharacteristic
1371C2×C22⋊C4—21no—
1372C2×C22⋊C4—21no—
1373C2×C22⋊C4—21no—
1374C2×C22⋊C4—21no—
1375C2×C22⋊C4—861no—
1376C2×C22⋊C4—861no—
1377C2×C22⋊C4C22⋊D4311yescharacteristic
1378C2×C22⋊C4C22⋊D4311yescharacteristic
1379C2×C42—861no—
1380C2×C42C22×D4311yescharacteristic
1381#107—431no—
1382#107—431no—
1383#107—431no—
1384#107—431no—
1385#106—431no—
1386#106—431no—
1387#106—431no—
1388#106—431no—
1389C4⋊C8—431no—
1390C4⋊C8—431no—
1391C4⋊C8—431no—
1392C4⋊C8—431no—
1393#103—431no—
1394#103—431no—
1395#103—431no—
1396#103—431no—
1397#103—431no—
1398#103—431no—
1399#103—431no—
1400#103—431no—
1401#103—431no—
1402#103—431no—
1403#103—431no—
1404#103—431no—
1405#103—431no—
1406#103—431no—
1407#103—431no—
1408#103—431no—
1409#102—431no—
1410#102—431no—
1411#102—431no—
1412#102—431no—
1413#102—431no—
1414#102—431no—
1415#102—431no—
1416#102—431no—
1417#102—431no—
1418#102—431no—
1419#102—431no—
1420#102—431no—
1421#102—431no—
1422#102—431no—
1423#102—431no—
1424#102—431no—
1425C22⋊C8—431no—
1426C22⋊C8—431no—
1427C22⋊C8—431no—
1428C22⋊C8—431no—
1429C22⋊C8—431no—
1430C22⋊C8—431no—
1431C22⋊C8—431no—
1432C22⋊C8—431no—
1433C22⋊C8—431no—
1434C22⋊C8—431no—
1435C22⋊C8—431no—
1436C22⋊C8—431no—
1437#97—431no—
1438#97—431no—
1439C4×C8—431no—
1440C4×C8—431no—
1441C24—21no—
1442C24—861no—
1443C24—861no—
1444C24C2×C22⋊D4311yescharacteristic
1445C24C2×C22⋊D4311yescharacteristic
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—862no—
1451#41—862no—
1452#41—862no—
1453#41—862no—
1454#41—862no—
1455#41—862no—
1456#41—1721no—
1457#41—1721no—
1458#41—1721no—
1459#41—1721no—
1460#41—1721no—
1461#41—1721no—
1462#41—1721no—
1463#41—1721no—
1464#41—1724no—
1465#41—1724no—
1466#41—1724no—
1467#41—1724no—
1468C2×Q8—21no—
1469C2×Q8—41no—
1470C2×Q8—41no—
1471C2×Q8—431no—
1472C2×Q8—431no—
1473C2×Q8—431no—
1474C2×Q8—862no—
1475C2×Q8—862no—
1476C2×Q8—861no—
1477C2×Q8—861no—
1478C2×Q8—1721no—
1479C2×Q8—1721no—
1480C2×Q8C23×D4311yescharacteristic
1481C2×Q8C23×D4311yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—41no—
1492C2×D4—41no—
1493C2×D4—42no—
1494C2×D4—44no—
1495C2×D4—431no—
1496C2×D4—431no—
1497C2×D4—431no—
1498C2×D4—862no—
1499C2×D4—862no—
1500C2×D4—861no—
1501C2×D4—861no—
1502C2×D4—861no—
1503C2×D4—861no—
1504C2×D4—861no—
1505C2×D4—861no—
1506C2×D4—861no—
1507C2×D4—861no—
1508C2×D4—861no—
1509C2×D4—861no—
1510C2×D4—861no—
1511C2×D4—861no—
1512C2×D4—861no—
1513C2×D4—861no—
1514C2×D4—861no—
1515C2×D4—1721no—
1516C2×D4—1721no—
1517C2×D4—1724no—
1518C2×D4—1724no—
1519C2×D4—1724no—
1520C2×D4C2×C22⋊D4311yescharacteristic
1521C2×D4C2×C22⋊D4311yescharacteristic
1522C2×D4C2×C22⋊D4311yescharacteristic
1523C2×D4C2×C22⋊D4311yescharacteristic
1524C2×D4C23×D4311yescharacteristic
1525C2×D4C23×D4311yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—41no—
1534C22×C4—41no—
1535C22×C4—41no—
1536C22×C4—41no—
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—1724no—
1549C22×C4—1724no—
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×C4C23×D4311yescharacteristic
1559C22×C4C23×D4311yescharacteristic
1560C22×C4C23×D4311yescharacteristic
1561C22×C4C23×D4311yescharacteristic
1562C22×C4C23×D4311yescharacteristic
1563Q16—862no—
1564Q16—862no—
1565Q16—1721no—
1566Q16—1721no—
1567Q16—1721no—
1568Q16—1721no—
1569SD16—862no—
1570SD16—862no—
1571SD16—862no—
1572SD16—862no—
1573SD16—1721no—
1574SD16—1721no—
1575SD16—1721no—
1576SD16—1721no—
1577SD16—1721no—
1578SD16—1721no—
1579SD16—1721no—
1580SD16—1721no—
1581D8—862no—
1582D8—862no—
1583D8—1721no—
1584D8—1721no—
1585D8—1721no—
1586D8—1721no—
1587M16—1721no—
1588M16—1721no—
1589M16—1721no—
1590M16—1721no—
1591C2×C8—431no—
1592C2×C8—431no—
1593C2×C8—431no—
1594C2×C8—431no—
1595C2×C8—431no—
1596C2×C8—431no—
1597C2×C8—431no—
1598C2×C8—431no—
1599C2×C8—1721no—
1600C2×C8—1721no—
1601C2×C8—1721no—
1602C2×C8—1721no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—21no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—431no—
1618C4⋊C4—431no—
1619C4⋊C4—861no—
1620C4⋊C4—861no—
1621C4⋊C4—861no—
1622C4⋊C4—861no—
1623C4⋊C4—861no—
1624C4⋊C4—861no—
1625C4⋊C4—861no—
1626C4⋊C4—861no—
1627C4⋊C4C2×C22⋊D4311yescharacteristic
1628C4⋊C4C2×C22⋊D4311yescharacteristic
1629C4⋊C4C2×C22⋊D4311yescharacteristic
1630C4⋊C4C2×C22⋊D4311yescharacteristic
1631C4⋊C4C23×D4311yescharacteristic
1632C4⋊C4C23×D4311yescharacteristic
1633C4⋊C4C23×D4311yescharacteristic
1634C4⋊C4C23×D4311yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—861no—
1656C22⋊C4—861no—
1657C22⋊C4—861no—
1658C22⋊C4—861no—
1659C22⋊C4—861no—
1660C22⋊C4—861no—
1661C22⋊C4—861no—
1662C22⋊C4—861no—
1663C22⋊C4—861no—
1664C22⋊C4—861no—
1665C22⋊C4—861no—
1666C22⋊C4—861no—
1667C22⋊C4—861no—
1668C22⋊C4—861no—
1669C22⋊C4—861no—
1670C22⋊C4C2×C22⋊D4311yescharacteristic
1671C22⋊C4C2×C22⋊D4311yescharacteristic
1672C22⋊C4C2×C22⋊D4311yescharacteristic
1673C22⋊C4C2×C22⋊D4311yescharacteristic
1674C22⋊C4C2×C22⋊D4311yescharacteristic
1675C22⋊C4C2×C22⋊D4311yescharacteristic
1676C22⋊C4C2×C22⋊D4311yescharacteristic
1677C22⋊C4C2×C22⋊D4311yescharacteristic
1678C42—21no—
1679C42—21no—
1680C42—21no—
1681C42—21no—
1682C42—861no—
1683C42—861no—
1684C42—861no—
1685C42C2×C22⋊D4311yescharacteristic
1686C42C2×C22⋊D4311yescharacteristic
1687C42C23×D4311yescharacteristic
1688C42C23×D4311yescharacteristic
1689C23—22no—
1690C23—21no—
1691C23—21no—
1692C23—41no—
1693C23—41no—
1694C23—41no—
1695C23—41no—
1696C23—41no—
1697C23—42no—
1698C23—81no—
1699C23—81no—
1700C23—861no—
1701C23—861no—
1702C23—861no—
1703C23—3441no—
1704C23—3441no—
1705C23—1722no—
1706C23—1722no—
1707C23—1722no—
1708C23—1722no—
1709C23C22×C22⋊D4311yescharacteristic
1710C23C22×C22⋊D4311yescharacteristic
1711C23C22×C22⋊D4311yescharacteristic
1712C23C22×C22⋊D4311yescharacteristic
1713C23C22×C22⋊D4311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—81no—
1719Q8—432no—
1720Q8—861no—
1721Q8—861no—
1722Q8—861no—
1723Q8—861no—
1724Q8—861no—
1725Q8—1722no—
1726Q8—1722no—
1727D4—22no—
1728D4—22no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—41no—
1734D4—41no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—81no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—432no—
1745D4—864no—
1746D4—861no—
1747D4—861no—
1748D4—861no—
1749D4—861no—
1750D4—861no—
1751D4—3441no—
1752D4—3441no—
1753D4—3441no—
1754D4—1722no—
1755D4—1722no—
1756D4—1722no—
1757D4—1722no—
1758D4—1722no—
1759D4—1722no—
1760D4—1722no—
1761D4—1722no—
1762D4—1722no—
1763D4—1722no—
1764D4—1722no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—42no—
1790C2×C4—81no—
1791C2×C4—81no—
1792C2×C4—81no—
1793C2×C4—81no—
1794C2×C4—81no—
1795C2×C4—81no—
1796C2×C4—864no—
1797C2×C4—861no—
1798C2×C4—861no—
1799C2×C4—861no—
1800C2×C4—861no—
1801C2×C4—861no—
1802C2×C4—3441no—
1803C2×C4—1722no—
1804C2×C4—1722no—
1805C2×C4—1722no—
1806C2×C4—1722no—
1807C2×C4—1722no—
1808C2×C4—1722no—
1809C2×C4—1722no—
1810C2×C4—1722no—
1811C2×C4—1722no—
1812C2×C4C22×C22⋊D4311yescharacteristic
1813C2×C4C22×C22⋊D4311yescharacteristic
1814C2×C4C22×C22⋊D4311yescharacteristic
1815C2×C4C22×C22⋊D4311yescharacteristic
1816C2×C4C22×C22⋊D4311yescharacteristic
1817C2×C4C22×C22⋊D4311yescharacteristic
1818C2×C4C22×C22⋊D4311yescharacteristic
1819C2×C4C22×C22⋊D4311yescharacteristic
1820C2×C4C22×C22⋊D4311yescharacteristic
1821C2×C4C24×D4311yescharacteristic
1822C8—861no—
1823C8—861no—
1824C8—861no—
1825C8—861no—
1826C8—861no—
1827C8—861no—
1828C8—861no—
1829C8—861no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—82no—
1851C22—82no—
1852C22—162no—
1853C22—862no—
1854C22—3444no—
1855C22—3444no—
1856C22—1721no—
1857C22—1721no—
1858C22—1721no—
1859C22—1721no—
1860C22—1721no—
1861C22—1721no—
1862C22—1721no—
1863C22—1721no—
1864C22#1458369712yes—
1865C22C23×C22⋊D4311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—21no—
1873C4—21no—
1874C4—21no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—862no—
1882C4—1721no—
1883C4—1721no—
1884C4—1721no—
1885C4—1721no—
1886C4H(5,𝔽2)×D4311yescharacteristic
1887C4H(5,𝔽2)×D4311yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—81no—
1894C2—81no—
1895C2—3441no—
1896C2—3441no—
1897C2—1722no—
1898C2#1914822611yescharacteristic
1899C2C2×#1458369711yescharacteristic
1900C2#1914936611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3505C2
socleC22×C43C23×D4
hypercenter#3505D43
hypocenterC43#61606
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3505

Complements

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

NH ≅ G/Ntype
1. D4×#10621898C2semidirect
2. #19146857C2semidirect
3. #19146805C2semidirect
4. #19146760C2semidirect
5. #19146730C2semidirect
6. #19146715C2semidirect
7. #19146685C2semidirect
8. #19146491C2semidirect
9. #19146439C2semidirect
10. #19146332C2semidirect
11. #19146303C2semidirect
12. #19146222C2semidirect
13. #19146202C2semidirect
14. #19146161C2semidirect
15. #19146131C2semidirect
16. #19146116C2semidirect
17. #19146091C2semidirect
18. #19145628C2semidirect
19. #19145567C2semidirect
20. #19145432C2semidirect
21. #19145425C2semidirect
22. #19145383C2semidirect
23. #19145360C2semidirect
24. #19144698C2semidirect
25. #19144607C2semidirect
26. #19143845C2semidirect
27. #19143835C2semidirect
28. #19143811C2semidirect
29. C2×#14583059C2semidirect
30. #19143630C2semidirect
31. C43×#3505C2semidirect
33. C22×#10621898C22semidirect
34. C2×#13063355C22semidirect
35. C2×#13063351C22semidirect
36. C2×#13063351C22semidirect
37. C2×#13063350C22semidirect
38. C2×#13063345C22semidirect
39. C2×#13063345C22semidirect
40. C22×#10621885C22semidirect
41. C22×#10621884C22semidirect
43. D4×Dic86C22semidirect
45. #14583558C22semidirect
49. #14583545C22semidirect
52. D4×D172C22semidirect
54. #14583449C22semidirect
57. #14583410C22semidirect
60. C4×#10621898C22semidirect
62. #14583294C22semidirect
63. #14583289C22semidirect
64. #14583281C22semidirect
65. #14583281C22semidirect
66. #14583269C22semidirect
67. #14583265C22semidirect
68. #14583256C22semidirect
69. #14583256C22semidirect
70. #14583240C22semidirect
71. #14583240C22semidirect
72. #14583237C22semidirect
73. #14583237C22semidirect
74. #14583234C22semidirect
75. #14583234C22semidirect
76. #14583223C22semidirect
77. #14583223C22semidirect
78. #14583220C22semidirect
79. #14583220C22semidirect
80. #14583217C22semidirect
81. #14583217C22semidirect
82. #14583203C22semidirect
83. #14583203C22semidirect
84. #14583196C22semidirect
85. #14583196C22semidirect
86. #14583155C22semidirect
87. #14583155C22semidirect
88. #14583155C22semidirect
89. #14583150C22semidirect
90. #14583147C22semidirect
91. #14583147C22semidirect
92. #14583147C22semidirect
93. #14583143C22semidirect
94. #14583138C22semidirect
95. #14583133C22semidirect
96. #14583133C22semidirect
97. #14583133C22semidirect
98. #14583130C22semidirect
99. #14583126C22semidirect
100. #14583126C22semidirect
101. #14583126C22semidirect
102. #14583121C22semidirect
103. #14583121C22semidirect
104. #14583118C22semidirect
105. #14583118C22semidirect
106. #14583114C22semidirect
107. #14583114C22semidirect
108. #14583111C22semidirect
109. #14583111C22semidirect
110. #14583109C22semidirect
111. #14583104C22semidirect
112. #14583099C22semidirect
113. #14583094C22semidirect
114. #14583061C22semidirect
115. #14583061C22semidirect
116. #14583059C22semidirect
117. #14583059C22semidirect
118. #14583059C22semidirect
119. #14583059C22semidirect
120. #14583059C22semidirect
121. #14583059C22semidirect
122. #14583059C22semidirect
123. #14583059C22semidirect
124. #14583059C22semidirect
125. #14583059C22semidirect
126. #14583059C22semidirect
127. #14583059C22semidirect
128. #14583055C22semidirect
129. #14583054C22semidirect
130. #14583050C22semidirect
131. #14583049C22semidirect
132. #14583044C22semidirect
133. #14583044C22semidirect
136. #14583042C22semidirect
137. #14583042C22semidirect
138. #14583042C22semidirect
139. #14583042C22semidirect
140. #14583042C22semidirect
141. #14583042C22semidirect
142. #14583038C22semidirect
143. #14583037C22semidirect
144. #14583037C22semidirect
145. #14583037C22semidirect
146. #14583033C22semidirect
147. #14583032C22semidirect
148. #14583032C22semidirect
149. #14583032C22semidirect
150. #14583009C22semidirect
151. #14583004C22semidirect
152. #14582999C22semidirect
153. #14582997C22semidirect
154. C4×#10621885C22semidirect
155. C4×#10621884C22semidirect
156. C4×#10621883C22semidirect
157. C4×#10621882C22semidirect
158. #14582977C22semidirect
159. #14582977C22semidirect
160. #14582971C22semidirect
161. #14582971C22semidirect
162. #14582971C22semidirect
163. #14582971C22semidirect
164. D4×C43⋊C8C22semidirect
165. D4×C43⋊C8C22semidirect
166. #14582956C22semidirect
167. #14582952C22semidirect
168. #14582907C22semidirect
169. #14582903C22semidirect
170. #14582898C22semidirect
171. #14582898C22semidirect
172. #14582893C22semidirect
173. #14582893C22semidirect
174. C2×#13063248C22semidirect
175. C2×#13063245C22semidirect
176. #14582863C22semidirect
177. #14582863C22semidirect
178. C2×C22⋊(C43⋊C8)C22semidirect
179. C2×C22⋊(C43⋊C8)C22semidirect
183. C43×#553C22semidirect
184. C43×#552C22semidirect
185. C43×#552C22semidirect
189. C43×#548C22semidirect
190. C43×#546C22semidirect
191. C43×#546C22semidirect
195. C43×#529C22semidirect
196. C43×#529C22semidirect
197. C43×#525C22semidirect
198. C43×#525C22semidirect
199. C2×C22⋊Q8×C43C22semidirect
200. C2×#121×C43C22semidirect
938. #3505D43semidirect
995. #553C2×D43semidirect
996. #552C2×D43semidirect
997. #552C2×D43semidirect
1005. #548C2×D43semidirect
1012. #546C2×D43semidirect
1013. #546C2×D43semidirect
1021. #529C2×D43semidirect
1022. #529C2×D43semidirect
1027. #525C2×D43semidirect
1028. #525C2×D43semidirect
1029. C2×C22⋊Q8C2×D43semidirect
1030. C2×#121C2×D43semidirect
1153. C43#61606semidirect

Maximal subgroups

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

subgroupindex
D4×#106218982
#191468572
#191468052
#191467602
#191467302
#191467152
#191466852
#191464912
#191464392
#191463322
#191463032
#191462222
#191462022
#191461612
#191461312
#191461162
#191460912
#191456282
#191455672
#191454322
#191454252
#191453832
#191453602
#191446982
#191446072
#191438452
#191438352
#191438112
C2×#145830592
#191436302
C43×#35052
#6160643