Finite Group Databasebeta

← #25961604

Subgroups — #25961604

Order 11008.

1626 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19147998C211yesmaximal, characteristic
2#19143700C211yesmaximal, characteristic, complemented
3#19143699C211yesmaximal, characteristic, complemented
4#19143698C211yesmaximal, characteristic, complemented
5#19143698C211yesmaximal, characteristic, complemented
6#19143696C211yesmaximal, characteristic, complemented
7#19143695C211yesmaximal, characteristic, complemented
8#19143694C211yesmaximal, characteristic, complemented
9#19143693C211yesmaximal, characteristic, complemented
10#19143691C211yesmaximal, characteristic, complemented
11#19143690C211yesmaximal, characteristic, complemented
12#19143688C211yesmaximal, characteristic, complemented
13#19143688C211yesmaximal, characteristic, complemented
14#19143687C211yesmaximal, characteristic, complemented
15#19143687C211yesmaximal, characteristic, complemented
16#19143686C211yesmaximal, characteristic, complemented
17#19143543C211yesmaximal, characteristic, complemented
18#19143540C211yesmaximal, characteristic, complemented
19#19143540C211yesmaximal, characteristic, complemented
20#19143537C211yesmaximal, characteristic, complemented
21#19143531C211yesmaximal, characteristic, complemented
22#19143531C211yesmaximal, characteristic, complemented
23#19143526C211yesmaximal, characteristic, complemented
24#19143524C211yesmaximal, characteristic, complemented
25#19143254C211yesmaximal, characteristic
26#19143251C211yesmaximal, characteristic
27#19143251C211yesmaximal, characteristic
28#19143248C211yesmaximal, characteristic
29#19143229C211yesmaximal, characteristic
30#433×D43C211yesmaximal, characteristic
31C43×#2985C211yesmaximal, characteristic, complemented
32#14583529C411yescharacteristic
33#14583529C411yescharacteristic
34#14583529C411yescharacteristic
35#14583529C411yescharacteristic
36#14583528C411yescharacteristic
37#14583528C411yescharacteristic
38#14583528C411yescharacteristic
39#14583528C411yescharacteristic
40#14583526C411yescharacteristic
41#14583526C411yescharacteristic
42#14583526C411yescharacteristic
43#14583526C411yescharacteristic
44#14583524C411yescharacteristic
45#14583524C411yescharacteristic
46#14583524C411yescharacteristic
47#14583524C411yescharacteristic
48#14583456C2211yescharacteristic
49#14583453C2211yescharacteristic
50#14583453C2211yescharacteristic
51#14583453C2211yescharacteristic
52#14583453C2211yescharacteristic
53#14583453C2211yescharacteristic
54#14583453C2211yescharacteristic
55#14583453C2211yescharacteristic
56#14583453C2211yescharacteristic
57#14583452C2211yescharacteristic
58#14583452C2211yescharacteristic
59C2×#13063282C2211yescharacteristic
60#117×D43C2211yescharacteristic
61#117×D43C2211yescharacteristic
62#14583030C2211yescharacteristic, complemented
63#14583030C2211yescharacteristic, complemented
64#14583030C2211yescharacteristic, complemented
65#14583030C2211yescharacteristic, complemented
66#14583030C2211yescharacteristic, complemented
67#14583030C2211yescharacteristic, complemented
68#14583029C2211yescharacteristic, complemented
69#14583029C2211yescharacteristic, complemented
70#14583029C2211yescharacteristic, complemented
71#14583029C2211yescharacteristic, complemented
72#14583029C2211yescharacteristic, complemented
73#14583029C2211yescharacteristic, complemented
74#14583028C2211yescharacteristic, complemented
75#14583028C2211yescharacteristic, complemented
76#14583028C2211yescharacteristic, complemented
77#14583028C2211yescharacteristic, complemented
78#14583028C2211yescharacteristic, complemented
79#14583028C2211yescharacteristic, complemented
80#14583028C2211yescharacteristic, complemented
81#14583028C2211yescharacteristic, complemented
82#14583028C2211yescharacteristic, complemented
83#14583028C2211yescharacteristic, complemented
84#14583028C2211yescharacteristic, complemented
85#14583028C2211yescharacteristic, complemented
86#14583027C2211yescharacteristic, complemented
87#14583027C2211yescharacteristic, complemented
88#14583027C2211yescharacteristic, complemented
89#14583027C2211yescharacteristic, complemented
90#14583027C2211yescharacteristic, complemented
91#14583027C2211yescharacteristic, complemented
92#14583027C2211yescharacteristic, complemented
93#14583027C2211yescharacteristic, complemented
94#14583027C2211yescharacteristic, complemented
95#14583027C2211yescharacteristic, complemented
96#14583027C2211yescharacteristic, complemented
97#14583027C2211yescharacteristic, complemented
98#14583026C2211yescharacteristic, complemented
99#14583026C2211yescharacteristic, complemented
100#14583026C2211yescharacteristic, complemented
101#14583026C2211yescharacteristic, complemented
102#14583026C2211yescharacteristic, complemented
103#14583026C2211yescharacteristic, complemented
104Q8×C43⋊C8C2211yescharacteristic, complemented
105Q8×C43⋊C8C2211yescharacteristic, complemented
106C8×Dic86C2211yescharacteristic, complemented
107C8×Dic86C2211yescharacteristic, complemented
108C8×Dic86C2211yescharacteristic, complemented
109C8×Dic86C2211yescharacteristic, complemented
110C8×Dic86C2211yescharacteristic, complemented
111C8×Dic86C2211yescharacteristic, complemented
112#14583023C2211yescharacteristic, complemented
113#14583023C2211yescharacteristic, complemented
114#14583023C2211yescharacteristic, complemented
115#14583023C2211yescharacteristic, complemented
116#14583023C2211yescharacteristic, complemented
117#14583023C2211yescharacteristic, complemented
118#14582961C2211yescharacteristic
119#14582961C2211yescharacteristic
120#14582961C2211yescharacteristic
121#14582961C2211yescharacteristic
122#14582960C2211yescharacteristic
123#14582960C2211yescharacteristic
124#14582960C2211yescharacteristic
125#14582960C2211yescharacteristic
126#14582959C2211yescharacteristic
127#14582959C2211yescharacteristic
128#14582959C2211yescharacteristic
129#14582959C2211yescharacteristic
130#14582959C2211yescharacteristic
131#14582959C2211yescharacteristic
132#14582959C2211yescharacteristic
133#14582959C2211yescharacteristic
134#14582958C2211yescharacteristic
135#14582958C2211yescharacteristic
136#14582958C2211yescharacteristic
137#14582958C2211yescharacteristic
138#14582957C2211yescharacteristic
139#14582957C2211yescharacteristic
140#14582957C2211yescharacteristic
141#14582957C2211yescharacteristic
142#14582957C2211yescharacteristic
143#14582957C2211yescharacteristic
144#14582957C2211yescharacteristic
145#14582957C2211yescharacteristic
146#14582956C2211yescharacteristic
147#14582955C2211yescharacteristic
148#14582955C2211yescharacteristic
149#14582954C2211yescharacteristic
150#14582954C2211yescharacteristic
151#14582953C2211yescharacteristic
152#14582953C2211yescharacteristic
153#14582952C2211yescharacteristic
154#14582951C2211yescharacteristic
155#14582951C2211yescharacteristic
156#14582950C2211yescharacteristic
157#14582950C2211yescharacteristic
158#14582949C2211yescharacteristic
159#14582949C2211yescharacteristic
160#14582924C2211yescharacteristic
161#14582924C2211yescharacteristic
162#14582924C2211yescharacteristic
163#14582924C2211yescharacteristic
164#14582924C2211yescharacteristic
165#14582924C2211yescharacteristic
166#14582924C2211yescharacteristic
167#14582924C2211yescharacteristic
168#14582921C2211yescharacteristic
169#14582921C2211yescharacteristic
170C4⋊C8×D43C2211yescharacteristic
171C4⋊C8×D43C2211yescharacteristic
172#14582861C2211yescharacteristic
173#14582861C2211yescharacteristic
174C22⋊C8×D43C2211yescharacteristic
175C22⋊C8×D43C2211yescharacteristic
176#14582856C2211yescharacteristic
177#14582856C2211yescharacteristic
178#14582856C2211yescharacteristic
179#14582856C2211yescharacteristic
180#14582853C2211yescharacteristic
181#14582853C2211yescharacteristic
182#14582853C2211yescharacteristic
183#14582853C2211yescharacteristic
184#14582851C2211yescharacteristic
185C4×#10621872C2211yescharacteristic
186#97×D43C2211yescharacteristic
187C4×C8×D43C2211yescharacteristic
188C43×#533C2211yescharacteristic
189C43×#446C2211yescharacteristic, complemented
190C43×#446C2211yescharacteristic, complemented
191C43×#446C2211yescharacteristic, complemented
192C43×#446C2211yescharacteristic, complemented
193C43×#446C2211yescharacteristic, complemented
194C43×#446C2211yescharacteristic, complemented
195C8×Q8×C43C2211yescharacteristic, complemented
196C8×Q8×C43C2211yescharacteristic, complemented
197C43×#433C2211yescharacteristic
198C43×#433C2211yescharacteristic
199C43×#433C2211yescharacteristic
200C43×#433C2211yescharacteristic
201C43×#432C2211yescharacteristic
202C43×#431C2211yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C2×#10621872C2311yescharacteristic
205C2×#10621872C2311yescharacteristic
206C2×#10621872C2311yescharacteristic
207C2×#10621872C2311yescharacteristic
208C2×C8×D43C2311yescharacteristic
209C2×C8×D43C2311yescharacteristic
210C2×C8×D43C2311yescharacteristic
211C2×C8×D43C2311yescharacteristic
212#13063325C2×C411yescharacteristic
213#13063325C2×C411yescharacteristic
214#13063324C2×C411yescharacteristic
215#13063324C2×C411yescharacteristic
216#13063324C2×C411yescharacteristic
217#13063324C2×C411yescharacteristic
218#13063324C2×C411yescharacteristic
219#13063324C2×C411yescharacteristic
220#13063324C2×C411yescharacteristic
221#13063324C2×C411yescharacteristic
222#13063324C2×C411yescharacteristic
223#13063324C2×C411yescharacteristic
224#13063324C2×C411yescharacteristic
225#13063324C2×C411yescharacteristic
226#13063323C2×C411yescharacteristic
227#13063323C2×C411yescharacteristic
228#13063323C2×C411yescharacteristic
229#13063323C2×C411yescharacteristic
230#13063323C2×C411yescharacteristic
231#13063323C2×C411yescharacteristic
232#13063323C2×C411yescharacteristic
233#13063323C2×C411yescharacteristic
234#13063317C2×C411yescharacteristic
235#13063317C2×C411yescharacteristic
236#13063316C2×C411yescharacteristic
237#13063316C2×C411yescharacteristic
238#13063316C2×C411yescharacteristic
239#13063316C2×C411yescharacteristic
240#13063315C2×C411yescharacteristic
241#13063315C2×C411yescharacteristic
242#13063315C2×C411yescharacteristic
243#13063315C2×C411yescharacteristic
244#13063315C2×C411yescharacteristic
245#13063315C2×C411yescharacteristic
246#13063315C2×C411yescharacteristic
247#13063315C2×C411yescharacteristic
248#13063315C2×C411yescharacteristic
249#13063315C2×C411yescharacteristic
250#13063315C2×C411yescharacteristic
251#13063315C2×C411yescharacteristic
252#13063315C2×C411yescharacteristic
253#13063315C2×C411yescharacteristic
254#13063315C2×C411yescharacteristic
255#13063315C2×C411yescharacteristic
256#13063305C2×C411yescharacteristic
257#13063305C2×C411yescharacteristic
258#13063305C2×C411yescharacteristic
259#13063305C2×C411yescharacteristic
260#13063305C2×C411yescharacteristic
261#13063305C2×C411yescharacteristic
262#13063305C2×C411yescharacteristic
263#13063305C2×C411yescharacteristic
264#13063304C2×C411yescharacteristic
265#13063304C2×C411yescharacteristic
266#13063304C2×C411yescharacteristic
267#13063304C2×C411yescharacteristic
268#13063303C2×C411yescharacteristic
269#13063303C2×C411yescharacteristic
270#13063303C2×C411yescharacteristic
271#13063303C2×C411yescharacteristic
272#13063303C2×C411yescharacteristic
273#13063303C2×C411yescharacteristic
274#13063303C2×C411yescharacteristic
275#13063303C2×C411yescharacteristic
276#13063303C2×C411yescharacteristic
277#13063303C2×C411yescharacteristic
278#13063303C2×C411yescharacteristic
279#13063303C2×C411yescharacteristic
280#13063303C2×C411yescharacteristic
281#13063303C2×C411yescharacteristic
282#13063303C2×C411yescharacteristic
283#13063303C2×C411yescharacteristic
284#13063302C2×C411yescharacteristic
285#13063302C2×C411yescharacteristic
286#13063302C2×C411yescharacteristic
287#13063302C2×C411yescharacteristic
288#13063302C2×C411yescharacteristic
289#13063302C2×C411yescharacteristic
290#13063302C2×C411yescharacteristic
291#13063302C2×C411yescharacteristic
292#13063301C2×C411yescharacteristic
293#13063301C2×C411yescharacteristic
294#13063301C2×C411yescharacteristic
295#13063301C2×C411yescharacteristic
296#13063301C2×C411yescharacteristic
297#13063301C2×C411yescharacteristic
298#13063301C2×C411yescharacteristic
299#13063301C2×C411yescharacteristic
300C4×Dic86C2311yescharacteristic
301C4×Dic86C2311yescharacteristic
302C4×Dic86C2311yescharacteristic
303C4×Dic86C2311yescharacteristic
304C4×Dic86C2311yescharacteristic
305C4×Dic86C2311yescharacteristic
306C4×Dic86C2311yescharacteristic
307C4×Dic86C2311yescharacteristic
308C4×Dic86C2311yescharacteristic
309C4×Dic86C2311yescharacteristic
310C4×Dic86C2311yescharacteristic
311C4×Dic86C2311yescharacteristic
312#13063284C2311yescharacteristic
313#13063284C2311yescharacteristic
314#13063283C2×C411yescharacteristic
315#13063283C2×C411yescharacteristic
316#13063283C2×C411yescharacteristic
317#13063283C2×C411yescharacteristic
318#13063282C2×C411yescharacteristic
319#13063282C2×C411yescharacteristic
320#13063282C2×C411yescharacteristic
321#13063282C2×C411yescharacteristic
322#13063282C2311yescharacteristic
323#13063282C2311yescharacteristic
324#13063282C2311yescharacteristic
325#13063282C2311yescharacteristic
326#13063282C2311yescharacteristic
327#13063282C2311yescharacteristic
328#13063282C2311yescharacteristic
329#13063282C2311yescharacteristic
330#13063281C2×C411yescharacteristic
331#13063281C2×C411yescharacteristic
332#13063281C2×C411yescharacteristic
333#13063281C2×C411yescharacteristic
334C2×Dic43⋊C4C2×C411yescharacteristic
335C2×Dic43⋊C4C2×C411yescharacteristic
336C4⋊C4×D43C2×C411yescharacteristic
337C4⋊C4×D43C2×C411yescharacteristic
338C4⋊C4×D43C2×C411yescharacteristic
339C4⋊C4×D43C2×C411yescharacteristic
340C2×(C2×D43)⋊C4C2×C411yescharacteristic
341C2×(C2×D43)⋊C4C2×C411yescharacteristic
342C22⋊C4×D43C2×C411yescharacteristic
343C22⋊C4×D43C2×C411yescharacteristic
344C22⋊C4×D43C2×C411yescharacteristic
345C22⋊C4×D43C2×C411yescharacteristic
346C2×C4×Dic43C2311yescharacteristic
347C42×D43C2311yescharacteristic
348C42×D43C2311yescharacteristic
349C42×D43C2311yescharacteristic
350C42×D43C2311yescharacteristic
351C4⋊(C43⋊C8)C2311yescharacteristic
352C4⋊(C43⋊C8)C2311yescharacteristic
353C4⋊(C43⋊C8)C2311yescharacteristic
354C4⋊(C43⋊C8)C2311yescharacteristic
355C4⋊(C43⋊C8)C2311yescharacteristic
356C4⋊(C43⋊C8)C2311yescharacteristic
357C4⋊(C43⋊C8)C2311yescharacteristic
358C4⋊(C43⋊C8)C2311yescharacteristic
359C4⋊(C43⋊C8)C2311yescharacteristic
360C4⋊(C43⋊C8)C2311yescharacteristic
361C4⋊(C43⋊C8)C2311yescharacteristic
362C4⋊(C43⋊C8)C2311yescharacteristic
363Dic43⋊C8C2311yescharacteristic
364Dic43⋊C8C2311yescharacteristic
365Dic43⋊C8C2311yescharacteristic
366Dic43⋊C8C2311yescharacteristic
367Dic43⋊C8C2311yescharacteristic
368Dic43⋊C8C2311yescharacteristic
369Dic43⋊C8C2311yescharacteristic
370Dic43⋊C8C2311yescharacteristic
371Dic43⋊C8C2311yescharacteristic
372Dic43⋊C8C2311yescharacteristic
373Dic43⋊C8C2311yescharacteristic
374Dic43⋊C8C2311yescharacteristic
375Dic43⋊C8C2311yescharacteristic
376Dic43⋊C8C2311yescharacteristic
377Dic43⋊C8C2311yescharacteristic
378Dic43⋊C8C2311yescharacteristic
379Dic43⋊C8C2311yescharacteristic
380Dic43⋊C8C2311yescharacteristic
381Dic43⋊C8C2311yescharacteristic
382Dic43⋊C8C2311yescharacteristic
383Dic43⋊C8C2311yescharacteristic
384Dic43⋊C8C2311yescharacteristic
385Dic43⋊C8C2311yescharacteristic
386Dic43⋊C8C2311yescharacteristic
387C22⋊(C43⋊C8)C2311yescharacteristic
388C22⋊(C43⋊C8)C2311yescharacteristic
389C22⋊(C43⋊C8)C2311yescharacteristic
390C22⋊(C43⋊C8)C2311yescharacteristic
391(C2×D43)⋊C8C2311yescharacteristic
392(C2×D43)⋊C8C2311yescharacteristic
393(C2×D43)⋊C8C2311yescharacteristic
394(C2×D43)⋊C8C2311yescharacteristic
395(C2×D43)⋊C8C2311yescharacteristic
396(C2×D43)⋊C8C2311yescharacteristic
397(C2×D43)⋊C8C2311yescharacteristic
398(C2×D43)⋊C8C2311yescharacteristic
399#13063236C2311yescharacteristic
400#13063236C2311yescharacteristic
401#13063236C2311yescharacteristic
402#13063236C2311yescharacteristic
403#13063236C2311yescharacteristic
404#13063236C2311yescharacteristic
405#13063235C2311yescharacteristic
406#13063235C2311yescharacteristic
407#13063235C2311yescharacteristic
408#13063235C2311yescharacteristic
409#13063235C2311yescharacteristic
410#13063235C2311yescharacteristic
411#13063235C2311yescharacteristic
412#13063235C2311yescharacteristic
413#13063235C2311yescharacteristic
414#13063235C2311yescharacteristic
415#13063235C2311yescharacteristic
416#13063235C2311yescharacteristic
417C4×C43⋊C8C2311yescharacteristic
418C4×C43⋊C8C2311yescharacteristic
419C4×C43⋊C8C2311yescharacteristic
420C4×C43⋊C8C2311yescharacteristic
421C4×C43⋊C8C2311yescharacteristic
422C4×C43⋊C8C2311yescharacteristic
423C8×Dic43C2311yescharacteristic
424C8×Dic43C2311yescharacteristic
425C8×Dic43C2311yescharacteristic
426C8×Dic43C2311yescharacteristic
427C8×Dic43C2311yescharacteristic
428C8×Dic43C2311yescharacteristic
429C8×Dic43C2311yescharacteristic
430C8×Dic43C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C4⋊Q8×C43C2×C411yescharacteristic
436C4⋊Q8×C43C2×C411yescharacteristic
437#125×C43C2×C411yescharacteristic
438#125×C43C2×C411yescharacteristic
439C22⋊Q8×C43C2×C411yescharacteristic
440C22⋊Q8×C43C2×C411yescharacteristic
441C22⋊Q8×C43C2×C411yescharacteristic
442C22⋊Q8×C43C2×C411yescharacteristic
443C4×Q8×C43C2311yescharacteristic
444C4×Q8×C43C2311yescharacteristic
445C4×Q8×C43C2311yescharacteristic
446C4×Q8×C43C2311yescharacteristic
447#117×C43C2311yescharacteristic
448#117×C43C2311yescharacteristic
449C2×C42×C43C2311yescharacteristic
450C4⋊C8×C43C2311yescharacteristic
451C4⋊C8×C43C2311yescharacteristic
452C4⋊C8×C43C2311yescharacteristic
453C4⋊C8×C43C2311yescharacteristic
454C4⋊C8×C43C2311yescharacteristic
455C4⋊C8×C43C2311yescharacteristic
456C4⋊C8×C43C2311yescharacteristic
457C4⋊C8×C43C2311yescharacteristic
458C4⋊C8×C43C2311yescharacteristic
459C4⋊C8×C43C2311yescharacteristic
460C4⋊C8×C43C2311yescharacteristic
461C4⋊C8×C43C2311yescharacteristic
462C22⋊C8×C43C2311yescharacteristic
463C22⋊C8×C43C2311yescharacteristic
464C22⋊C8×C43C2311yescharacteristic
465C22⋊C8×C43C2311yescharacteristic
466#97×C43C2311yescharacteristic
467#97×C43C2311yescharacteristic
468#97×C43C2311yescharacteristic
469#97×C43C2311yescharacteristic
470#97×C43C2311yescharacteristic
471#97×C43C2311yescharacteristic
472C4×C8×C43C2311yescharacteristic
473C4×C8×C43C2311yescharacteristic
474C4×C8×C43C2311yescharacteristic
475C4×C8×C43C2311yescharacteristic
476C4×C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43C22×C411yescharacteristic
479C2×Q8×C43C22×C411yescharacteristic
480C2×Q8×C43C22×C411yescharacteristic
481C2×Q8×C43C22×C411yescharacteristic
482C2×Q8×C43C22×C411yescharacteristic
483C22×C4×C43C22×C411yescharacteristic
484C22×C4×C43C22×C411yescharacteristic
485C22×C4×C43C2411yescharacteristic
486C22×Dic43C22×C411yescharacteristic
487C22×Dic43C22×C411yescharacteristic
488C22×Dic43C22×C411yescharacteristic
489C2×C4×D43—22no—
490C2×C4×D43—22no—
491C2×C4×D43C22×C411yescharacteristic
492C2×C4×D43C22×C411yescharacteristic
493C2×C4×D43C22×C411yescharacteristic
494C2×C4×D43C22×C411yescharacteristic
495C2×C4×D43C22×C411yescharacteristic
496C2×C4×D43C22×C411yescharacteristic
497C2×C4×D43C22×C411yescharacteristic
498C2×C4×D43C22×C411yescharacteristic
499C2×C4×D43C22×C411yescharacteristic
500C2×C4×D43C22×C411yescharacteristic
501C2×C4×D43C2411yescharacteristic
502C2×C4×D43C2411yescharacteristic
503C2×Dic86C22×C411yescharacteristic
504C2×Dic86C22×C411yescharacteristic
505C2×Dic86C22×C411yescharacteristic
506C2×Dic86C22×C411yescharacteristic
507C2×Dic86C22×C411yescharacteristic
508C2×Dic86C22×C411yescharacteristic
509C2×Dic86C22×C411yescharacteristic
510C2×Dic86C22×C411yescharacteristic
511C2×Dic86C22×C411yescharacteristic
512C2×Dic86C22×C411yescharacteristic
513C2×Dic86C22×C411yescharacteristic
514C2×Dic86C22×C411yescharacteristic
515C2×C8×C43C2411yescharacteristic
516C2×C8×C43C2411yescharacteristic
517C2×C8×C43C2411yescharacteristic
518C2×C8×C43C2411yescharacteristic
519C2×C8×C43C2411yescharacteristic
520C2×C8×C43C2411yescharacteristic
521C2×C8×C43C2411yescharacteristic
522C2×C8×C43C2411yescharacteristic
523C4⋊C4×C43C22×C411yescharacteristic
524C4⋊C4×C43C22×C411yescharacteristic
525C4⋊C4×C43C22×C411yescharacteristic
526C4⋊C4×C43C22×C411yescharacteristic
527C4⋊C4×C43C22×C411yescharacteristic
528C4⋊C4×C43C22×C411yescharacteristic
529C4⋊C4×C43C22×C411yescharacteristic
530C4⋊C4×C43C22×C411yescharacteristic
531C4⋊C4×C43C22×C411yescharacteristic
532C4⋊C4×C43C22×C411yescharacteristic
533C4⋊C4×C43C22×C411yescharacteristic
534C4⋊C4×C43C22×C411yescharacteristic
535C4⋊C4×C43C22×C411yescharacteristic
536C4⋊C4×C43C22×C411yescharacteristic
537C4⋊C4×C43C22×C411yescharacteristic
538C4⋊C4×C43C22×C411yescharacteristic
539C22⋊C4×C43C22×C411yescharacteristic
540C22⋊C4×C43C22×C411yescharacteristic
541C22⋊C4×C43C22×C411yescharacteristic
542C22⋊C4×C43C22×C411yescharacteristic
543C42×C43C22×C411yescharacteristic
544C42×C43C22×C411yescharacteristic
545C42×C43C2411yescharacteristic
546C42×C43C2411yescharacteristic
547C42×C43C2411yescharacteristic
548C42×C43C2411yescharacteristic
549C42×C43C2411yescharacteristic
550C42×C43C2411yescharacteristic
551C22⋊Dic43C22×C411yescharacteristic
552C22⋊Dic43C22×C411yescharacteristic
553C22⋊Dic43C22×C411yescharacteristic
554C22⋊Dic43C22×C411yescharacteristic
555(C2×D43)⋊C4C22×C411yescharacteristic
556(C2×D43)⋊C4C22×C411yescharacteristic
557(C2×D43)⋊C4C22×C411yescharacteristic
558(C2×D43)⋊C4C22×C411yescharacteristic
559(C2×D43)⋊C4C22×C411yescharacteristic
560(C2×D43)⋊C4C22×C411yescharacteristic
561(C2×D43)⋊C4C22×C411yescharacteristic
562(C2×D43)⋊C4C22×C411yescharacteristic
563(C2×D43)⋊C4C22×C411yescharacteristic
564(C2×D43)⋊C4C22×C411yescharacteristic
565(C2×D43)⋊C4C22×C411yescharacteristic
566(C2×D43)⋊C4C22×C411yescharacteristic
567(C2×D43)⋊C4C22×C411yescharacteristic
568(C2×D43)⋊C4C22×C411yescharacteristic
569(C2×D43)⋊C4C22×C411yescharacteristic
570(C2×D43)⋊C4C22×C411yescharacteristic
571C4⋊Dic43C22×C411yescharacteristic
572C4⋊Dic43C22×C411yescharacteristic
573C4⋊Dic43C22×C411yescharacteristic
574C4⋊Dic43C22×C411yescharacteristic
575C4⋊Dic43C22×C411yescharacteristic
576C4⋊Dic43C22×C411yescharacteristic
577C4⋊Dic43C22×C411yescharacteristic
578C4⋊Dic43C22×C411yescharacteristic
579C4⋊Dic43C22×C411yescharacteristic
580C4⋊Dic43C22×C411yescharacteristic
581C4⋊Dic43C22×C411yescharacteristic
582C4⋊Dic43C22×C411yescharacteristic
583C4⋊Dic43C22×C411yescharacteristic
584C4⋊Dic43C22×C411yescharacteristic
585C4⋊Dic43C22×C411yescharacteristic
586C4⋊Dic43C22×C411yescharacteristic
587Dic43⋊C4C22×C411yescharacteristic
588Dic43⋊C4C22×C411yescharacteristic
589Dic43⋊C4C22×C411yescharacteristic
590Dic43⋊C4C22×C411yescharacteristic
591Dic43⋊C4C22×C411yescharacteristic
592Dic43⋊C4C22×C411yescharacteristic
593Dic43⋊C4C22×C411yescharacteristic
594Dic43⋊C4C22×C411yescharacteristic
595Dic43⋊C4C22×C411yescharacteristic
596Dic43⋊C4C22×C411yescharacteristic
597Dic43⋊C4C22×C411yescharacteristic
598Dic43⋊C4C22×C411yescharacteristic
599Dic43⋊C4C22×C411yescharacteristic
600Dic43⋊C4C22×C411yescharacteristic
601Dic43⋊C4C22×C411yescharacteristic
602Dic43⋊C4C22×C411yescharacteristic
603Dic43⋊C4C22×C411yescharacteristic
604Dic43⋊C4C22×C411yescharacteristic
605Dic43⋊C4C22×C411yescharacteristic
606Dic43⋊C4C22×C411yescharacteristic
607Dic43⋊C4C22×C411yescharacteristic
608Dic43⋊C4C22×C411yescharacteristic
609Dic43⋊C4C22×C411yescharacteristic
610Dic43⋊C4C22×C411yescharacteristic
611Dic43⋊C4C22×C411yescharacteristic
612Dic43⋊C4C22×C411yescharacteristic
613Dic43⋊C4C22×C411yescharacteristic
614Dic43⋊C4C22×C411yescharacteristic
615Dic43⋊C4C22×C411yescharacteristic
616Dic43⋊C4C22×C411yescharacteristic
617Dic43⋊C4C22×C411yescharacteristic
618Dic43⋊C4C22×C411yescharacteristic
619Dic43⋊C4C22×C411yescharacteristic
620Dic43⋊C4C22×C411yescharacteristic
621Dic43⋊C4C22×C411yescharacteristic
622Dic43⋊C4C22×C411yescharacteristic
623Dic43⋊C4C22×C411yescharacteristic
624Dic43⋊C4C22×C411yescharacteristic
625Dic43⋊C4C22×C411yescharacteristic
626Dic43⋊C4C22×C411yescharacteristic
627C4×Dic43C22×C411yescharacteristic
628C4×Dic43C22×C411yescharacteristic
629C4×Dic43C22×C411yescharacteristic
630C4×Dic43C22×C411yescharacteristic
631C4×Dic43C22×C411yescharacteristic
632C4×Dic43C22×C411yescharacteristic
633C4×Dic43C22×C411yescharacteristic
634C4×Dic43C22×C411yescharacteristic
635C4×Dic43C22×C411yescharacteristic
636C4×Dic43C22×C411yescharacteristic
637C4×Dic43C2411yescharacteristic
638C4×Dic43C2411yescharacteristic
639C4×Dic43C2411yescharacteristic
640C4×Dic43C2411yescharacteristic
641C4×Dic43C2411yescharacteristic
642C4×Dic43C2411yescharacteristic
643C2×C43⋊C8C2411yescharacteristic
644C2×C43⋊C8C2411yescharacteristic
645C2×C43⋊C8C2411yescharacteristic
646C2×C43⋊C8C2411yescharacteristic
647C2×C43⋊C8C2411yescharacteristic
648C2×C43⋊C8C2411yescharacteristic
649C2×C43⋊C8C2411yescharacteristic
650C2×C43⋊C8C2411yescharacteristic
651#10621872—22no—
652#10621872—22no—
653#10621872—22no—
654#10621872—22no—
655C8×D43—22no—
656C8×D43—22no—
657C8×D43—22no—
658C8×D43—22no—
659C23×C43C23×C411yescharacteristic
660C22×D43—22no—
661C22×D43—41no—
662C22×D43—41no—
663C22×D43C23×C411yescharacteristic
664C22×D43C23×C411yescharacteristic
665Q8×C43—41no—
666Q8×C43—41no—
667Q8×C43—41no—
668Q8×C43—41no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—41no—
672C2×C4×C43—41no—
673C2×C4×C43C23×C411yescharacteristic
674C2×C4×C43C23×C411yescharacteristic
675C2×C4×C43C23×C411yescharacteristic
676C2×C4×C43C23×C411yescharacteristic
677C2×C4×C43C23×C411yescharacteristic
678C2×C4×C43C23×C411yescharacteristic
679C2×C4×C43C23×C411yescharacteristic
680C2×C4×C43C23×C411yescharacteristic
681C2×C4×C43C23×C411yescharacteristic
682C2×C4×C43C23×C411yescharacteristic
683C2×C4×C43C23×C411yescharacteristic
684C2×C4×C43C23×C411yescharacteristic
685C2×C4×C43C23×C411yescharacteristic
686C2×C4×C43C2511yescharacteristic
687C2×Dic43—22no—
688C2×Dic43—41no—
689C2×Dic43—41no—
690C2×Dic43C23×C411yescharacteristic
691C2×Dic43C23×C411yescharacteristic
692C2×Dic43C23×C411yescharacteristic
693C2×Dic43C23×C411yescharacteristic
694C2×Dic43C23×C411yescharacteristic
695C2×Dic43C23×C411yescharacteristic
696C2×Dic43C23×C411yescharacteristic
697C2×Dic43C23×C411yescharacteristic
698C2×Dic43C23×C411yescharacteristic
699C2×Dic43C23×C411yescharacteristic
700C2×Dic43C23×C411yescharacteristic
701C2×Dic43C23×C411yescharacteristic
702C2×Dic43C23×C411yescharacteristic
703C2×Dic43C23×C411yescharacteristic
704C4×D43—22no—
705C4×D43—21no—
706C4×D43—21no—
707C4×D43—22no—
708C4×D43—41no—
709C4×D43—41no—
710C4×D43—41no—
711C4×D43—41no—
712C4×D43—41no—
713C4×D43—41no—
714C4×D43—41no—
715C4×D43—41no—
716C4×D432−1+412yes—
717C4×D432−1+412yes—
718Dic86—41no—
719Dic86—41no—
720Dic86—41no—
721Dic86—41no—
722Dic86—41no—
723Dic86—41no—
724Dic86—41no—
725Dic86—41no—
726Dic86—41no—
727Dic86—41no—
728Dic86—41no—
729Dic86—41no—
730C8×C43—21no—
731C8×C43—21no—
732C8×C43—21no—
733C8×C43—21no—
734C8×C43—21no—
735C8×C43—21no—
736C8×C43—21no—
737C8×C43—21no—
738C43⋊C8—21no—
739C43⋊C8—21no—
740C43⋊C8—21no—
741C43⋊C8—21no—
742C43⋊C8—21no—
743C43⋊C8—21no—
744C43⋊C8—21no—
745C43⋊C8—21no—
746#60252—431nomaximal, Sylow
747C22×C43—21no—
748C22×C43—21no—
749C22×C43—21no—
750C22×C43C24×C411yescharacteristic
751C2×D43—21no—
752C2×D43—21no—
753C2×D43—21no—
754C2×D43—21no—
755C2×D43—21no—
756C2×D43—82no—
757C2×D43#51912yes—
758C4×C43—21no—
759C4×C43—21no—
760C4×C43—21no—
761C4×C43—21no—
762C4×C43—21no—
763C4×C43—21no—
764C4×C43—21no—
765C4×C43—21no—
766C4×C43—21no—
767C4×C43—21no—
768C4×C43—21no—
769C4×C43—21no—
770C4×C43—21no—
771C4×C43C2×2−1+411yescharacteristic
772C4×C43C2×2−1+411yescharacteristic
773Dic43—21no—
774Dic43—21no—
775Dic43—21no—
776Dic43—21no—
777Dic43—21no—
778Dic43—21no—
779Dic43—21no—
780Dic43—21no—
781Dic43—21no—
782Dic43—21no—
783Dic43—21no—
784Dic43—21no—
785Dic43—21no—
786Dic43#51912yes—
787#3458—431no—
788#2987—431no—
789#2987—431no—
790#2987—431no—
791#2987—431no—
792#2986—431no—
793#2986—431no—
794#2986—431no—
795#2986—431no—
796#2985—431no—
797#2985—431no—
798#2985—431no—
799#2985—431no—
800#2985—431no—
801#2985—431no—
802#2985—431no—
803#2985D4311yescharacteristic, complemented
804#2962—431no—
805#2962—431no—
806#2962—431no—
807#2962—431no—
808#2961—431no—
809#2961—431no—
810#2960—431no—
811#2960—431no—
812#2924—431no—
813#2924—431no—
814#2924—431no—
815#2924—431no—
816#2921—431no—
817C2×#433—431no—
818C2×C43—41no—
819C2×C43C2×#51911yescharacteristic
820C2×C43#357311yescharacteristic
821C2×C43#357311yescharacteristic
822D43—22no—
823D43—41no—
824#544—431no—
825#544—431no—
826#544—431no—
827#544—431no—
828#544—431no—
829#544—431no—
830#544—431no—
831#544—431no—
832#544—431no—
833#544—431no—
834#544—431no—
835#544—431no—
836#543—431no—
837#543—431no—
838#543—431no—
839#543—431no—
840#533—431no—
841#533—431no—
842#533—431no—
843#533—431no—
844#533—431no—
845#533—431no—
846#533—431no—
847#533—431no—
848#533—431no—
849#533—431no—
850#533—431no—
851#533C2×D4311yescharacteristic
852C2×#117—431no—
853C2×#117—431no—
854C2×#117—431no—
855#446—431no—
856#446—431no—
857#446—431no—
858#446—431no—
859#446—431no—
860#446—431no—
861#446—431no—
862#446—431no—
863#446—431no—
864#446—431no—
865#446—431no—
866#446—431no—
867#446—431no—
868#446—431no—
869#446—431no—
870#446—431no—
871#446—431no—
872#446—431no—
873#446—431no—
874#446—431no—
875#446—431no—
876#446—431no—
877#446—431no—
878#446—431no—
879#446—431no—
880#446—431no—
881#446—431no—
882#446—431no—
883#446—431no—
884#446—431no—
885#446—431no—
886#446—431no—
887#446—431no—
888#446—431no—
889#446—431no—
890#446—431no—
891#446—431no—
892#446—431no—
893#446—431no—
894#446—431no—
895#446—431no—
896#446—431no—
897#446C2×D4311yescharacteristic, complemented
898#446C2×D4311yescharacteristic, complemented
899#446C2×D4311yescharacteristic, complemented
900#446C2×D4311yescharacteristic, complemented
901#446C2×D4311yescharacteristic, complemented
902#446C2×D4311yescharacteristic, complemented
903C8×Q8—431no—
904C8×Q8—431no—
905C8×Q8—431no—
906C8×Q8—431no—
907C8×Q8—431no—
908C8×Q8—431no—
909C8×Q8—431no—
910C8×Q8—431no—
911C8×Q8—431no—
912C8×Q8—431no—
913C8×Q8—431no—
914C8×Q8—431no—
915C8×Q8—431no—
916C8×Q8—431no—
917C8×Q8C2×D4311yescharacteristic, complemented
918C8×Q8C2×D4311yescharacteristic, complemented
919#433—431no—
920#433—431no—
921#433—431no—
922#433—431no—
923#433—431no—
924#433—431no—
925#433—431no—
926#433—431no—
927#433—431no—
928#433—431no—
929#433—431no—
930#433—431no—
931#433—431no—
932#433—431no—
933#433—431no—
934#433—431no—
935#433—431no—
936#433—431no—
937#433—431no—
938#433—431no—
939#433—431no—
940#433—431no—
941#433—431no—
942#433—431no—
943#433—431no—
944#433—431no—
945#433—431no—
946#433—431no—
947#433C2×D4311yescharacteristic
948#433C2×D4311yescharacteristic
949#433C2×D4311yescharacteristic
950#433C2×D4311yescharacteristic
951#432—431no—
952#432—431no—
953#432—431no—
954#432—431no—
955#432—431no—
956#432—431no—
957#432—431no—
958#432C2×D4311yescharacteristic
959#431—431no—
960#431—431no—
961#431—431no—
962#431—431no—
963#431—431no—
964#431—431no—
965#431—431no—
966#431C2×D4311yescharacteristic
967#424—431no—
968#424—431no—
969#424—431no—
970#424—431no—
971#424—431no—
972#424—431no—
973#424—431no—
974#424—431no—
975#423—431no—
976#423—431no—
977C2×C4⋊C8—431no—
978C2×C4⋊C8—431no—
979#407—431no—
980#407—431no—
981C2×C22⋊C8—431no—
982C2×C22⋊C8—431no—
983#405—431no—
984#405—431no—
985#405—431no—
986#405—431no—
987#405—431no—
988#405—431no—
989#405—431no—
990#405—431no—
991C4×M16—431no—
992C4×M16—431no—
993C2×#97—431no—
994C2×C4×C8—431no—
995C43#6025211yescharacteristic, complemented, Sylow
996C23×C4—431no—
997C2×M16—431no—
998C2×M16—431no—
999C2×M16—431no—
1000C2×M16—431no—
1001C22×C8—431no—
1002C22×C8—431no—
1003C22×C8—431no—
1004C22×C8—431no—
1005C4⋊Q8—431no—
1006C4⋊Q8—431no—
1007C4⋊Q8—431no—
1008C4⋊Q8—431no—
1009C4⋊Q8—431no—
1010C4⋊Q8—431no—
1011C4⋊Q8—431no—
1012C4⋊Q8—431no—
1013C4⋊Q8—431no—
1014C4⋊Q8—431no—
1015C4⋊Q8—431no—
1016C4⋊Q8—431no—
1017C4⋊Q8—431no—
1018C4⋊Q8—431no—
1019C4⋊Q8—431no—
1020C4⋊Q8—431no—
1021C4⋊Q8—431no—
1022C4⋊Q8—431no—
1023C4⋊Q8—431no—
1024C4⋊Q8—431no—
1025C4⋊Q8—431no—
1026C4⋊Q8—431no—
1027C4⋊Q8C4×D4311yescharacteristic
1028C4⋊Q8C4×D4311yescharacteristic
1029#125—431no—
1030#125—431no—
1031#125—431no—
1032#125—431no—
1033#125—431no—
1034#125—431no—
1035#125—431no—
1036#125—431no—
1037#125—431no—
1038#125—431no—
1039#125—431no—
1040#125—431no—
1041#125—431no—
1042#125—431no—
1043#125—431no—
1044#125—431no—
1045#125—431no—
1046#125—431no—
1047#125—431no—
1048#125—431no—
1049#125—431no—
1050#125—431no—
1051#125C4×D4311yescharacteristic
1052#125C4×D4311yescharacteristic
1053C22⋊Q8—431no—
1054C22⋊Q8—431no—
1055C22⋊Q8—431no—
1056C22⋊Q8—431no—
1057C22⋊Q8—431no—
1058C22⋊Q8—431no—
1059C22⋊Q8—431no—
1060C22⋊Q8—431no—
1061C22⋊Q8—431no—
1062C22⋊Q8—431no—
1063C22⋊Q8—431no—
1064C22⋊Q8—431no—
1065C22⋊Q8—431no—
1066C22⋊Q8—431no—
1067C22⋊Q8—431no—
1068C22⋊Q8—431no—
1069C22⋊Q8—431no—
1070C22⋊Q8—431no—
1071C22⋊Q8—431no—
1072C22⋊Q8—431no—
1073C22⋊Q8—431no—
1074C22⋊Q8—431no—
1075C22⋊Q8—431no—
1076C22⋊Q8—431no—
1077C22⋊Q8—431no—
1078C22⋊Q8—431no—
1079C22⋊Q8—431no—
1080C22⋊Q8—431no—
1081C22⋊Q8—431no—
1082C22⋊Q8—431no—
1083C22⋊Q8—431no—
1084C22⋊Q8—431no—
1085C22⋊Q8—431no—
1086C22⋊Q8—431no—
1087C22⋊Q8—431no—
1088C22⋊Q8—431no—
1089C22⋊Q8—431no—
1090C22⋊Q8—431no—
1091C22⋊Q8—431no—
1092C22⋊Q8—431no—
1093C22⋊Q8—431no—
1094C22⋊Q8—431no—
1095C22⋊Q8—431no—
1096C22⋊Q8—431no—
1097C22⋊Q8C4×D4311yescharacteristic
1098C22⋊Q8C4×D4311yescharacteristic
1099C22⋊Q8C4×D4311yescharacteristic
1100C22⋊Q8C4×D4311yescharacteristic
1101C4×Q8—431no—
1102C4×Q8—431no—
1103C4×Q8—431no—
1104C4×Q8—431no—
1105C4×Q8—431no—
1106C4×Q8—431no—
1107C4×Q8—431no—
1108C4×Q8—431no—
1109C4×Q8—431no—
1110C4×Q8—431no—
1111C4×Q8—431no—
1112C4×Q8—431no—
1113C4×Q8C22×D4311yescharacteristic
1114C4×Q8C22×D4311yescharacteristic
1115C4×Q8C22×D4311yescharacteristic
1116C4×Q8C22×D4311yescharacteristic
1117#117—431no—
1118#117—431no—
1119#117—431no—
1120#117—431no—
1121#117—431no—
1122#117—431no—
1123#117—431no—
1124#117—431no—
1125#117—431no—
1126#117—431no—
1127#117—431no—
1128#117—431no—
1129#117—431no—
1130#117—431no—
1131#117—431no—
1132#117—431no—
1133#117—431no—
1134#117—431no—
1135#117—431no—
1136#117—431no—
1137#117—431no—
1138#117—431no—
1139#117C22×D4311yescharacteristic
1140#117C22×D4311yescharacteristic
1141C2×C4⋊C4—431no—
1142C2×C4⋊C4—431no—
1143C2×C4⋊C4—431no—
1144C2×C4⋊C4—431no—
1145C2×C4⋊C4—431no—
1146C2×C4⋊C4—431no—
1147C2×C22⋊C4—431no—
1148C2×C22⋊C4—431no—
1149C2×C22⋊C4—431no—
1150C2×C22⋊C4—431no—
1151C2×C22⋊C4—431no—
1152C2×C22⋊C4—431no—
1153C2×C42—431no—
1154C2×C42—431no—
1155C2×C42—431no—
1156C2×C42—431no—
1157C2×C42—431no—
1158C2×C42C22×D4311yescharacteristic
1159C4⋊C8—431no—
1160C4⋊C8—431no—
1161C4⋊C8—431no—
1162C4⋊C8—431no—
1163C4⋊C8—431no—
1164C4⋊C8—431no—
1165C4⋊C8—431no—
1166C4⋊C8—431no—
1167C4⋊C8—431no—
1168C4⋊C8—431no—
1169C4⋊C8—431no—
1170C4⋊C8—431no—
1171C4⋊C8—431no—
1172C4⋊C8—431no—
1173C4⋊C8—431no—
1174C4⋊C8—431no—
1175C4⋊C8—431no—
1176C4⋊C8—431no—
1177C4⋊C8—431no—
1178C4⋊C8—431no—
1179C4⋊C8—431no—
1180C4⋊C8—431no—
1181C4⋊C8—431no—
1182C4⋊C8—431no—
1183C4⋊C8—431no—
1184C4⋊C8—431no—
1185C4⋊C8—431no—
1186C4⋊C8—431no—
1187C4⋊C8—431no—
1188C4⋊C8—431no—
1189C4⋊C8—431no—
1190C4⋊C8—431no—
1191C4⋊C8—431no—
1192C4⋊C8—431no—
1193C4⋊C8—431no—
1194C4⋊C8—431no—
1195C4⋊C8C22×D4311yescharacteristic
1196C4⋊C8C22×D4311yescharacteristic
1197C4⋊C8C22×D4311yescharacteristic
1198C4⋊C8C22×D4311yescharacteristic
1199C4⋊C8C22×D4311yescharacteristic
1200C4⋊C8C22×D4311yescharacteristic
1201C4⋊C8C22×D4311yescharacteristic
1202C4⋊C8C22×D4311yescharacteristic
1203C4⋊C8C22×D4311yescharacteristic
1204C4⋊C8C22×D4311yescharacteristic
1205C4⋊C8C22×D4311yescharacteristic
1206C4⋊C8C22×D4311yescharacteristic
1207C22⋊C8—431no—
1208C22⋊C8—431no—
1209C22⋊C8—431no—
1210C22⋊C8—431no—
1211C22⋊C8—431no—
1212C22⋊C8—431no—
1213C22⋊C8—431no—
1214C22⋊C8—431no—
1215C22⋊C8—431no—
1216C22⋊C8—431no—
1217C22⋊C8—431no—
1218C22⋊C8—431no—
1219C22⋊C8C22×D4311yescharacteristic
1220C22⋊C8C22×D4311yescharacteristic
1221C22⋊C8C22×D4311yescharacteristic
1222C22⋊C8C22×D4311yescharacteristic
1223#97—431no—
1224#97—431no—
1225#97—431no—
1226#97—431no—
1227#97—431no—
1228#97—431no—
1229#97—431no—
1230#97—431no—
1231#97—431no—
1232#97—431no—
1233#97—431no—
1234#97—431no—
1235#97—431no—
1236#97—431no—
1237#97—431no—
1238#97—431no—
1239#97—431no—
1240#97—431no—
1241#97C22×D4311yescharacteristic
1242#97C22×D4311yescharacteristic
1243#97C22×D4311yescharacteristic
1244#97C22×D4311yescharacteristic
1245#97C22×D4311yescharacteristic
1246#97C22×D4311yescharacteristic
1247C4×C8—431no—
1248C4×C8—431no—
1249C4×C8—431no—
1250C4×C8—431no—
1251C4×C8—431no—
1252C4×C8—431no—
1253C4×C8—431no—
1254C4×C8—431no—
1255C4×C8—431no—
1256C4×C8—431no—
1257C4×C8—431no—
1258C4×C8—431no—
1259C4×C8—431no—
1260C4×C8—431no—
1261C4×C8—431no—
1262C4×C8—431no—
1263C4×C8—431no—
1264C4×C8—431no—
1265C4×C8C22×D4311yescharacteristic
1266C4×C8C22×D4311yescharacteristic
1267C4×C8C22×D4311yescharacteristic
1268C4×C8C22×D4311yescharacteristic
1269C4×C8C22×D4311yescharacteristic
1270C4×C8C22×D4311yescharacteristic
1271C24—431no—
1272C2×Q8—431no—
1273C2×Q8—431no—
1274C2×Q8—431no—
1275C2×Q8—431no—
1276C2×Q8—431no—
1277C2×Q8—431no—
1278C2×Q8—431no—
1279C2×Q8—431no—
1280C2×Q8—431no—
1281C2×Q8—431no—
1282C2×Q8—431no—
1283C2×Q8—431no—
1284C2×Q8C2×C4×D4311yescharacteristic
1285C2×Q8C2×C4×D4311yescharacteristic
1286C2×Q8C2×C4×D4311yescharacteristic
1287C2×Q8C2×C4×D4311yescharacteristic
1288C22×C4—431no—
1289C22×C4—431no—
1290C22×C4—431no—
1291C22×C4—431no—
1292C22×C4—431no—
1293C22×C4—431no—
1294C22×C4—431no—
1295C22×C4—431no—
1296C22×C4—431no—
1297C22×C4—431no—
1298C22×C4—431no—
1299C22×C4—431no—
1300C22×C4—431no—
1301C22×C4—431no—
1302C22×C4—431no—
1303C22×C4—862no—
1304C22×C4—862no—
1305C22×C4C2×C4×D4311yescharacteristic
1306C22×C4C2×C4×D4311yescharacteristic
1307C22×C4C23×D4311yescharacteristic
1308M16—862no—
1309M16—862no—
1310M16—862no—
1311M16—862no—
1312C2×C8—431no—
1313C2×C8—431no—
1314C2×C8—431no—
1315C2×C8—431no—
1316C2×C8—431no—
1317C2×C8—431no—
1318C2×C8—431no—
1319C2×C8—431no—
1320C2×C8—862no—
1321C2×C8—862no—
1322C2×C8—862no—
1323C2×C8—862no—
1324C2×C8C23×D4311yescharacteristic
1325C2×C8C23×D4311yescharacteristic
1326C2×C8C23×D4311yescharacteristic
1327C2×C8C23×D4311yescharacteristic
1328C2×C8C23×D4311yescharacteristic
1329C2×C8C23×D4311yescharacteristic
1330C2×C8C23×D4311yescharacteristic
1331C2×C8C23×D4311yescharacteristic
1332C4⋊C4—431no—
1333C4⋊C4—431no—
1334C4⋊C4—431no—
1335C4⋊C4—431no—
1336C4⋊C4—431no—
1337C4⋊C4—431no—
1338C4⋊C4—431no—
1339C4⋊C4—431no—
1340C4⋊C4—431no—
1341C4⋊C4—431no—
1342C4⋊C4—431no—
1343C4⋊C4—431no—
1344C4⋊C4—431no—
1345C4⋊C4—431no—
1346C4⋊C4—431no—
1347C4⋊C4—431no—
1348C4⋊C4—431no—
1349C4⋊C4—431no—
1350C4⋊C4—431no—
1351C4⋊C4—431no—
1352C4⋊C4—431no—
1353C4⋊C4—431no—
1354C4⋊C4—431no—
1355C4⋊C4—431no—
1356C4⋊C4—431no—
1357C4⋊C4—431no—
1358C4⋊C4—431no—
1359C4⋊C4—431no—
1360C4⋊C4—431no—
1361C4⋊C4—431no—
1362C4⋊C4—431no—
1363C4⋊C4—431no—
1364C4⋊C4—431no—
1365C4⋊C4—431no—
1366C4⋊C4—431no—
1367C4⋊C4—431no—
1368C4⋊C4—431no—
1369C4⋊C4—431no—
1370C4⋊C4—431no—
1371C4⋊C4—431no—
1372C4⋊C4—431no—
1373C4⋊C4—431no—
1374C4⋊C4—431no—
1375C4⋊C4—431no—
1376C4⋊C4—431no—
1377C4⋊C4—431no—
1378C4⋊C4—431no—
1379C4⋊C4—431no—
1380C4⋊C4—431no—
1381C4⋊C4—431no—
1382C4⋊C4—431no—
1383C4⋊C4—431no—
1384C4⋊C4—431no—
1385C4⋊C4—431no—
1386C4⋊C4—431no—
1387C4⋊C4—431no—
1388C4⋊C4C2×C4×D4311yescharacteristic
1389C4⋊C4C2×C4×D4311yescharacteristic
1390C4⋊C4C2×C4×D4311yescharacteristic
1391C4⋊C4C2×C4×D4311yescharacteristic
1392C4⋊C4C2×C4×D4311yescharacteristic
1393C4⋊C4C2×C4×D4311yescharacteristic
1394C4⋊C4C2×C4×D4311yescharacteristic
1395C4⋊C4C2×C4×D4311yescharacteristic
1396C4⋊C4C2×C4×D4311yescharacteristic
1397C4⋊C4C2×C4×D4311yescharacteristic
1398C4⋊C4C2×C4×D4311yescharacteristic
1399C4⋊C4C2×C4×D4311yescharacteristic
1400C4⋊C4C2×C4×D4311yescharacteristic
1401C4⋊C4C2×C4×D4311yescharacteristic
1402C4⋊C4C2×C4×D4311yescharacteristic
1403C4⋊C4C2×C4×D4311yescharacteristic
1404C22⋊C4—431no—
1405C22⋊C4—431no—
1406C22⋊C4—431no—
1407C22⋊C4—431no—
1408C22⋊C4—431no—
1409C22⋊C4—431no—
1410C22⋊C4—431no—
1411C22⋊C4—431no—
1412C22⋊C4—431no—
1413C22⋊C4—431no—
1414C22⋊C4—431no—
1415C22⋊C4—431no—
1416C22⋊C4—431no—
1417C22⋊C4—431no—
1418C22⋊C4—431no—
1419C22⋊C4—431no—
1420C22⋊C4—431no—
1421C22⋊C4—431no—
1422C22⋊C4—431no—
1423C22⋊C4—431no—
1424C22⋊C4C2×C4×D4311yescharacteristic
1425C22⋊C4C2×C4×D4311yescharacteristic
1426C22⋊C4C2×C4×D4311yescharacteristic
1427C22⋊C4C2×C4×D4311yescharacteristic
1428C42—431no—
1429C42—431no—
1430C42—431no—
1431C42—431no—
1432C42—431no—
1433C42—431no—
1434C42—431no—
1435C42—431no—
1436C42—431no—
1437C42—431no—
1438C42—431no—
1439C42—431no—
1440C42—431no—
1441C42—431no—
1442C42—431no—
1443C42—431no—
1444C42C2×C4×D4311yescharacteristic
1445C42C2×C4×D4311yescharacteristic
1446C42C23×D4311yescharacteristic
1447C42C23×D4311yescharacteristic
1448C42C23×D4311yescharacteristic
1449C42C23×D4311yescharacteristic
1450C42C23×D4311yescharacteristic
1451C42C23×D4311yescharacteristic
1452C23—431no—
1453C23—431no—
1454C23—862no—
1455C23—1721no—
1456C23—1721no—
1457C23C22×C4×D4311yescharacteristic
1458Q8—41no—
1459Q8—41no—
1460Q8—41no—
1461Q8—41no—
1462Q8—1721no—
1463Q8—1721no—
1464Q8—1721no—
1465Q8—1721no—
1466Q8—1721no—
1467Q8—1721no—
1468Q8—1721no—
1469Q8—1721no—
1470Q8—1721no—
1471Q8—1721no—
1472Q8—1721no—
1473Q8—1721no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—431no—
1479C2×C4—432no—
1480C2×C4—432no—
1481C2×C4—431no—
1482C2×C4—431no—
1483C2×C4—431no—
1484C2×C4—431no—
1485C2×C4—431no—
1486C2×C4—431no—
1487C2×C4—431no—
1488C2×C4—431no—
1489C2×C4—431no—
1490C2×C4—431no—
1491C2×C4—431no—
1492C2×C4—431no—
1493C2×C4—431no—
1494C2×C4—862no—
1495C2×C4—862no—
1496C2×C4—862no—
1497C2×C4—861no—
1498C2×C4—861no—
1499C2×C4—1721no—
1500C2×C4—1721no—
1501C2×C4—1721no—
1502C2×C4—1721no—
1503C2×C4—1721no—
1504C2×C4—1721no—
1505C2×C4—1721no—
1506C2×C4—1721no—
1507C2×C4—1721no—
1508C2×C4—1721no—
1509C2×C4C22×C4×D4311yescharacteristic
1510C2×C4C22×C4×D4311yescharacteristic
1511C2×C4C22×C4×D4311yescharacteristic
1512C2×C4C22×C4×D4311yescharacteristic
1513C2×C4C22×C4×D4311yescharacteristic
1514C2×C4C22×C4×D4311yescharacteristic
1515C2×C4C22×C4×D4311yescharacteristic
1516C2×C4C22×C4×D4311yescharacteristic
1517C2×C4C22×C4×D4311yescharacteristic
1518C2×C4C22×C4×D4311yescharacteristic
1519C2×C4C22×C4×D4311yescharacteristic
1520C2×C4C22×C4×D4311yescharacteristic
1521C2×C4C22×C4×D4311yescharacteristic
1522C2×C4C24×D4311yescharacteristic
1523C8—21no—
1524C8—21no—
1525C8—21no—
1526C8—21no—
1527C8—21no—
1528C8—21no—
1529C8—21no—
1530C8—21no—
1531C8—861no—
1532C8—861no—
1533C8—861no—
1534C8—861no—
1535C8—861no—
1536C8—861no—
1537C8—861no—
1538C8—861no—
1539C22—21no—
1540C22—21no—
1541C22—21no—
1542C22—432no—
1543C22—861no—
1544C22—861no—
1545C22—861no—
1546C22—861no—
1547C22—861no—
1548C22—3442no—
1549C22C23×C4×D4311yescharacteristic
1550C4—21no—
1551C4—21no—
1552C4—21no—
1553C4—21no—
1554C4—21no—
1555C4—21no—
1556C4—21no—
1557C4—21no—
1558C4—21no—
1559C4—21no—
1560C4—21no—
1561C4—21no—
1562C4—21no—
1563C4—432no—
1564C4—861no—
1565C4—861no—
1566C4—861no—
1567C4—861no—
1568C4—861no—
1569C4—861no—
1570C4—861no—
1571C4—861no—
1572C4—861no—
1573C4—861no—
1574C4—861no—
1575C4—861no—
1576C4—861no—
1577C42−1+4×D4311yescharacteristic
1578C42−1+4×D4311yescharacteristic
1579C2—41no—
1580C2—862no—
1581C2—1721no—
1582C2#519×D4311yescharacteristic
1583C2#1914930611yescharacteristic
1584C2#1914930811yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D43
commutator, socleC22×C43C24×C4
FittingC43×#2985C2
prime radicalC23×D43C22×C4
cosocleC2×C4×C43C25
hypercenter#2985D43
hypocenterC43#60252
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #2985

Complements

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

NH ≅ G/Ntype
2. #19143700C2semidirect
3. #19143699C2semidirect
4. #19143698C2semidirect
5. #19143698C2semidirect
6. #19143696C2semidirect
7. #19143695C2semidirect
8. #19143694C2semidirect
9. #19143693C2semidirect
10. #19143691C2semidirect
11. #19143690C2semidirect
12. #19143688C2semidirect
13. #19143688C2semidirect
14. #19143687C2semidirect
15. #19143687C2semidirect
16. #19143686C2semidirect
17. #19143543C2semidirect
18. #19143540C2semidirect
19. #19143540C2semidirect
20. #19143537C2semidirect
21. #19143531C2semidirect
22. #19143531C2semidirect
23. #19143526C2semidirect
24. #19143524C2semidirect
31. C43×#2985C2semidirect
62. #14583030C22semidirect
63. #14583030C22semidirect
64. #14583030C22semidirect
65. #14583030C22semidirect
66. #14583030C22semidirect
67. #14583030C22semidirect
68. #14583029C22semidirect
69. #14583029C22semidirect
70. #14583029C22semidirect
71. #14583029C22semidirect
72. #14583029C22semidirect
73. #14583029C22semidirect
74. #14583028C22semidirect
75. #14583028C22semidirect
76. #14583028C22semidirect
77. #14583028C22semidirect
78. #14583028C22semidirect
79. #14583028C22semidirect
80. #14583028C22semidirect
81. #14583028C22semidirect
82. #14583028C22semidirect
83. #14583028C22semidirect
84. #14583028C22semidirect
85. #14583028C22semidirect
86. #14583027C22semidirect
87. #14583027C22semidirect
88. #14583027C22semidirect
89. #14583027C22semidirect
90. #14583027C22semidirect
91. #14583027C22semidirect
92. #14583027C22semidirect
93. #14583027C22semidirect
94. #14583027C22semidirect
95. #14583027C22semidirect
96. #14583027C22semidirect
97. #14583027C22semidirect
98. #14583026C22semidirect
99. #14583026C22semidirect
100. #14583026C22semidirect
101. #14583026C22semidirect
102. #14583026C22semidirect
103. #14583026C22semidirect
104. Q8×C43⋊C8C22semidirect
105. Q8×C43⋊C8C22semidirect
106. C8×Dic86C22semidirect
107. C8×Dic86C22semidirect
108. C8×Dic86C22semidirect
109. C8×Dic86C22semidirect
110. C8×Dic86C22semidirect
111. C8×Dic86C22semidirect
112. #14583023C22semidirect
113. #14583023C22semidirect
114. #14583023C22semidirect
115. #14583023C22semidirect
116. #14583023C22semidirect
117. #14583023C22semidirect
189. C43×#446C22semidirect
190. C43×#446C22semidirect
191. C43×#446C22semidirect
192. C43×#446C22semidirect
193. C43×#446C22semidirect
194. C43×#446C22semidirect
195. C8×Q8×C43C22semidirect
196. C8×Q8×C43C22semidirect
803. #2985D43semidirect
897. #446C2×D43semidirect
898. #446C2×D43semidirect
899. #446C2×D43semidirect
900. #446C2×D43semidirect
901. #446C2×D43semidirect
902. #446C2×D43semidirect
917. C8×Q8C2×D43semidirect
918. C8×Q8C2×D43semidirect
995. C43#60252semidirect

Maximal subgroups

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

subgroupindex
#191479982
#191437002
#191436992
#191436982
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