Finite Group Databasebeta

← #32863193

Subgroups — #32863193

Order 18176.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22601944C211yesmaximal, characteristic
2#22597497C211yesmaximal, characteristic, complemented
3#22597486C211yesmaximal, characteristic, complemented
4#22597481C211yesmaximal, characteristic, complemented
5#22597475C211yesmaximal, characteristic, complemented
6#22597460C211yesmaximal, characteristic, complemented
7#22597448C211yesmaximal, characteristic, complemented
8#22597412C211yesmaximal, characteristic, complemented
9#22597394C211yesmaximal, characteristic, complemented
10#22597393C211yesmaximal, characteristic, complemented
11#22597390C211yesmaximal, characteristic, complemented
12#22597384C211yesmaximal, characteristic, complemented
13#22597376C211yesmaximal, characteristic, complemented
14#22597370C211yesmaximal, characteristic, complemented
15#22597362C211yesmaximal, characteristic, complemented
16#22597349C211yesmaximal, characteristic, complemented
17#22597339C211yesmaximal, characteristic, complemented
18#22597331C211yesmaximal, characteristic, complemented
19#22597329C211yesmaximal, characteristic, complemented
20#22597308C211yesmaximal, characteristic, complemented
21#22597300C211yesmaximal, characteristic, complemented
22#22597081C211yesmaximal, characteristic, complemented
23#22597072C211yesmaximal, characteristic, complemented
24#22597069C211yesmaximal, characteristic, complemented
25#22597061C211yesmaximal, characteristic, complemented
26#22597030C211yesmaximal, characteristic, complemented
27#22597029C211yesmaximal, characteristic, complemented
28C2×#17986071C211yesmaximal, characteristic, complemented
29#435×D71C211yesmaximal, characteristic, complemented
30C2×(C22⋊D71)⋊C8C211yesmaximal, characteristic, complemented
31C71×#2974C211yesmaximal, characteristic, complemented
32C2×#14556136C2211yescharacteristic, complemented
33C2×#14556134C2211yescharacteristic, complemented
34C22×#11765849C2211yescharacteristic, complemented
35C2×M16×D71C2211yescharacteristic, complemented
36C23×C71⋊C8C2211yescharacteristic, complemented
37C22×C8×D71C2211yescharacteristic, complemented
38#17986732C411yescharacteristic
39#17986708C411yescharacteristic
40#17986704C411yescharacteristic
41#17986699C411yescharacteristic
42#17986698C411yescharacteristic
43#17986698C411yescharacteristic
44#17986697C411yescharacteristic
45#17986678C411yescharacteristic
46#17986678C411yescharacteristic
47#17986675C411yescharacteristic
48#17986675C411yescharacteristic
49#17986644C411yescharacteristic
50#17986643C411yescharacteristic
51#17986639C411yescharacteristic
52#17986639C411yescharacteristic
53D4×C22⋊D71C411yescharacteristic
54#17986546C2211yescharacteristic
55#17986533C2211yescharacteristic
56#17986531C2211yescharacteristic
57#17986529C2211yescharacteristic
58#17986529C2211yescharacteristic
59#17986510C2211yescharacteristic
60#17986510C2211yescharacteristic
61#17986508C2211yescharacteristic
62#17986508C2211yescharacteristic
63C4×#11765865C2211yescharacteristic
64C4×#11765864C2211yescharacteristic
65C2×C4×C22⋊D71C2211yescharacteristic
66C2×C4×C22⋊D71C2211yescharacteristic
67C4×D4×D71C2211yescharacteristic
68#17986128C2211yescharacteristic, complemented
69#17986128C2211yescharacteristic, complemented
70#17986128C2211yescharacteristic, complemented
71#17986128C2211yescharacteristic, complemented
72#17986127C2211yescharacteristic, complemented
73#17986127C2211yescharacteristic, complemented
74C8×Dic142C2211yescharacteristic, complemented
75C8×Dic142C2211yescharacteristic, complemented
76#17986075C2211yescharacteristic, complemented
77#17986075C2211yescharacteristic, complemented
78#17986075C2211yescharacteristic, complemented
79#17986075C2211yescharacteristic, complemented
80#17986074C2211yescharacteristic, complemented
81#17986074C2211yescharacteristic, complemented
82#17986074C2211yescharacteristic, complemented
83#17986074C2211yescharacteristic, complemented
84#17986073C2211yescharacteristic, complemented
85#17986073C2211yescharacteristic, complemented
86#17986073C2211yescharacteristic, complemented
87#17986073C2211yescharacteristic, complemented
88#17986072C2211yescharacteristic, complemented
89#17986072C2211yescharacteristic, complemented
90#17986071C2211yescharacteristic
91#17986071C2211yescharacteristic
92#17986071C2211yescharacteristic, complemented
93#17986071C2211yescharacteristic, complemented
94#17986071C2211yescharacteristic, complemented
95#17986071C2211yescharacteristic, complemented
96#17986071C2211yescharacteristic, complemented
97#17986071C2211yescharacteristic, complemented
98#17986070C2211yescharacteristic, complemented
99#17986070C2211yescharacteristic, complemented
100#17986069C2211yescharacteristic, complemented
101#17986069C2211yescharacteristic, complemented
102#17986069C2211yescharacteristic, complemented
103#17986069C2211yescharacteristic, complemented
104#17986068C2211yescharacteristic, complemented
105#17986068C2211yescharacteristic, complemented
106#17986068C2211yescharacteristic, complemented
107#17986068C2211yescharacteristic, complemented
108#17986067C2211yescharacteristic, complemented
109#17986067C2211yescharacteristic, complemented
110#17986067C2211yescharacteristic, complemented
111#17986067C2211yescharacteristic, complemented
112#17986067C2211yescharacteristic, complemented
113#17986067C2211yescharacteristic, complemented
114#17986067C2211yescharacteristic, complemented
115#17986067C2211yescharacteristic, complemented
116C8×D284C2211yescharacteristic, complemented
117C8×D284C2211yescharacteristic, complemented
118C8×C22⋊D71C2211yescharacteristic, complemented
119C8×C22⋊D71C2211yescharacteristic, complemented
120C8×C22⋊D71C2211yescharacteristic, complemented
121C8×C22⋊D71C2211yescharacteristic, complemented
122C8×C22⋊D71C2211yescharacteristic, complemented
123C8×C22⋊D71C2211yescharacteristic, complemented
124(C22⋊D71)⋊C8C2211yescharacteristic
125(C22⋊D71)⋊C8C2211yescharacteristic
126(C22⋊D71)⋊C8C2211yescharacteristic
127(C22⋊D71)⋊C8C2211yescharacteristic
128(C22⋊D71)⋊C8C2211yescharacteristic, complemented
129(C22⋊D71)⋊C8C2211yescharacteristic, complemented
130(C22⋊D71)⋊C8C2211yescharacteristic, complemented
131(C22⋊D71)⋊C8C2211yescharacteristic, complemented
132(C22⋊D71)⋊C8C2211yescharacteristic, complemented
133(C22⋊D71)⋊C8C2211yescharacteristic, complemented
134(C22⋊D71)⋊C8C2211yescharacteristic, complemented
135(C22⋊D71)⋊C8C2211yescharacteristic, complemented
136(C22⋊D71)⋊C8C2211yescharacteristic, complemented
137(C22⋊D71)⋊C8C2211yescharacteristic, complemented
138(C22⋊D71)⋊C8C2211yescharacteristic, complemented
139(C22⋊D71)⋊C8C2211yescharacteristic, complemented
140#17986059C2211yescharacteristic, complemented
141#17986059C2211yescharacteristic, complemented
142#17986058C2211yescharacteristic, complemented
143#17986058C2211yescharacteristic, complemented
144#17986057C2211yescharacteristic, complemented
145#17986057C2211yescharacteristic, complemented
146#17986057C2211yescharacteristic, complemented
147#17986057C2211yescharacteristic, complemented
148#17986054C2211yescharacteristic, complemented
149#17986054C2211yescharacteristic, complemented
150#17986053C2211yescharacteristic, complemented
151#17986051C2211yescharacteristic, complemented
152#17986051C2211yescharacteristic, complemented
153#17986049C2211yescharacteristic, complemented
154#17986049C2211yescharacteristic, complemented
155#17986049C2211yescharacteristic, complemented
156#17986027C2211yescharacteristic, complemented
157#17986025C2211yescharacteristic, complemented
158#17986024C2211yescharacteristic, complemented
159#17986024C2211yescharacteristic, complemented
160#17986022C2211yescharacteristic, complemented
161C2×C4⋊(C71⋊C8)C2211yescharacteristic, complemented
162C2×Dic71⋊C8C2211yescharacteristic, complemented
163C4⋊C8×D71C2211yescharacteristic, complemented
164C4⋊C8×D71C2211yescharacteristic, complemented
165#17985967C2211yescharacteristic, complemented
166#17985965C2211yescharacteristic, complemented
167#17985964C2211yescharacteristic, complemented
168#17985964C2211yescharacteristic, complemented
169#17985964C2211yescharacteristic, complemented
170#17985964C2211yescharacteristic, complemented
171#17985962C2211yescharacteristic, complemented
172#17985961C2211yescharacteristic, complemented
173C2×C22⋊(C71⋊C8)C2211yescharacteristic, complemented
174C2×C22⋊(C71⋊C8)C2211yescharacteristic, complemented
175C2×(C2×D71)⋊C8C2211yescharacteristic, complemented
176C22⋊C8×D71C2211yescharacteristic, complemented
177C22⋊C8×D71C2211yescharacteristic, complemented
178C22⋊C8×D71C2211yescharacteristic, complemented
179#17985957C2211yescharacteristic, complemented
180#17985954C2211yescharacteristic, complemented
181#17985953C2211yescharacteristic, complemented
182#17985953C2211yescharacteristic, complemented
183#17985951C2211yescharacteristic, complemented
184M16×Dic71C2211yescharacteristic, complemented
185C2×#14556039C2211yescharacteristic, complemented
186#97×D71C2211yescharacteristic, complemented
187C2×C8×Dic71C2211yescharacteristic, complemented
188C2×C4×D4×C71C2211yescharacteristic
189#436×C71C2211yescharacteristic, complemented
190#436×C71C2211yescharacteristic, complemented
191#435×C71C2211yescharacteristic
192#435×C71C2211yescharacteristic
193#435×C71C2211yescharacteristic, complemented
194#435×C71C2211yescharacteristic, complemented
195C8×D4×C71C2211yescharacteristic, complemented
196C8×D4×C71C2211yescharacteristic, complemented
197#432×C71C2211yescharacteristic, complemented
198#431×C71C2211yescharacteristic, complemented
199#407×C71C2211yescharacteristic, complemented
200#407×C71C2211yescharacteristic, complemented
201C2×C22⋊C8×C71C2211yescharacteristic, complemented
202C2×C22⋊C8×C71C2211yescharacteristic, complemented
203C2×#11765865C2×C411yescharacteristic
204C2×#11765865C2311yescharacteristic
205C2×#11765865C2311yescharacteristic
206C2×#11765864C2×C411yescharacteristic
207C22×C22⋊D71C2×C411yescharacteristic
208C22×C22⋊D71C2×C411yescharacteristic
209C2×D4×D71C2×C411yescharacteristic
210C22×C4×D71C2311yescharacteristic
211C22×C4×D71C2311yescharacteristic
212#14556136—42no—
213#14556134—42no—
214C2×#11765849—42no—
215C2×#11765849C2311yescharacteristic
216C2×#11765849C2311yescharacteristic
217C2×#11765849C2311yescharacteristic
218C2×#11765849C2311yescharacteristic
219C2×#11765848C2311yescharacteristic
220C2×#11765848C2311yescharacteristic
221C2×#11765848C2311yescharacteristic
222C2×#11765848C2311yescharacteristic
223C2×#11765848C2311yescharacteristic
224C2×#11765848C2311yescharacteristic
225M16×D71—42no—
226C22×C71⋊C8—42no—
227C22×C71⋊C8C2311yescharacteristic
228C22×C71⋊C8C2311yescharacteristic
229C22×C71⋊C8C2311yescharacteristic
230C22×C71⋊C8C2311yescharacteristic
231C22×C71⋊C8C2311yescharacteristic
232C22×C71⋊C8C2311yescharacteristic
233C22×C71⋊C8C2311yescharacteristic
234C22×C71⋊C8C2311yescharacteristic
235C2×C8×D71—42no—
236C2×C8×D71C2311yescharacteristic
237C2×C8×D71C2311yescharacteristic
238C2×C8×D71C2311yescharacteristic
239C2×C8×D71C2311yescharacteristic
240C2×C8×D71C2311yescharacteristic
241C2×C8×D71C2311yescharacteristic
242C2×C8×D71C2311yescharacteristic
243C2×C8×D71C2311yescharacteristic
244C2×C8×D71C2311yescharacteristic
245C2×C8×D71C2311yescharacteristic
246#14556127C2×C411yescharacteristic
247#14556124C2×C411yescharacteristic
248#14556123C2×C411yescharacteristic
249#14556123C2×C411yescharacteristic
250#14556122C2×C411yescharacteristic
251#14556122C2×C411yescharacteristic
252#14556121C2×C411yescharacteristic
253#14556121C2×C411yescharacteristic
254#14556121C2×C411yescharacteristic
255#14556121C2×C411yescharacteristic
256#14556120C2×C411yescharacteristic
257#14556119C2×C411yescharacteristic
258#14556118C2×C411yescharacteristic
259#14556118C2×C411yescharacteristic
260#14556116C2×C411yescharacteristic
261#14556115C2×C411yescharacteristic
262#14556114C2×C411yescharacteristic
263#14556114C2×C411yescharacteristic
264#14556114C2×C411yescharacteristic
265#14556114C2×C411yescharacteristic
266#14556113C2×C411yescharacteristic
267#14556113C2×C411yescharacteristic
268#14556112C2×C411yescharacteristic
269#14556112C2×C411yescharacteristic
270#14556111C2×C411yescharacteristic
271#14556111C2×C411yescharacteristic
272#14556111C2×C411yescharacteristic
273#14556111C2×C411yescharacteristic
274#14556111C2×C411yescharacteristic
275#14556111C2×C411yescharacteristic
276#14556110C2×C411yescharacteristic
277#14556110C2×C411yescharacteristic
278#14556110C2×C411yescharacteristic
279#14556110C2×C411yescharacteristic
280#14556109C2×C411yescharacteristic
281#14556109C2×C411yescharacteristic
282#14556108C2×C411yescharacteristic
283#14556107C2×C411yescharacteristic
284#14556107C2×C411yescharacteristic
285#14556107C2×C411yescharacteristic
286#14556107C2×C411yescharacteristic
287#14556107C2×C411yescharacteristic
288#14556106C2×C411yescharacteristic
289#14556106C2×C411yescharacteristic
290#14556105C2×C411yescharacteristic
291#14556105C2×C411yescharacteristic
292#14556105C2×C411yescharacteristic
293#14556105C2×C411yescharacteristic
294#14556103C2×C411yescharacteristic
295#14556102C2×C411yescharacteristic
296#14556102C2×C411yescharacteristic
297#14556102C2×C411yescharacteristic
298#14556102C2×C411yescharacteristic
299#14556102C2×C411yescharacteristic
300#14556101C2×C411yescharacteristic
301#14556101C2×C411yescharacteristic
302#14556101C2×C411yescharacteristic
303#14556101C2×C411yescharacteristic
304#14556100C2×C411yescharacteristic
305#14556100C2×C411yescharacteristic
306#14556100C2×C411yescharacteristic
307#14556100C2×C411yescharacteristic
308#14556099C2×C411yescharacteristic
309#14556099C2×C411yescharacteristic
310#14556098C2×C411yescharacteristic
311#14556098C2×C411yescharacteristic
312#14556097C2×C411yescharacteristic
313#14556097C2×C411yescharacteristic
314#14556097C2×C411yescharacteristic
315#14556097C2×C411yescharacteristic
316#14556096C2×C411yescharacteristic
317#14556096C2×C411yescharacteristic
318C4×Dic142C2×C411yescharacteristic
319C4×Dic142C2311yescharacteristic
320C4×Dic142C2311yescharacteristic
321#14556093C2×C411yescharacteristic
322C4×D284C2×C411yescharacteristic
323C4×D284C2311yescharacteristic
324C4×D284C2311yescharacteristic
325D4×Dic71C2×C411yescharacteristic
326D4×Dic71C2×C411yescharacteristic
327#14556090C2×C411yescharacteristic
328C4×C22⋊D71C2×C411yescharacteristic
329C4×C22⋊D71C2×C411yescharacteristic
330C4×C22⋊D71C2×C411yescharacteristic
331C4×C22⋊D71C2×C411yescharacteristic
332C4×C22⋊D71C2×C411yescharacteristic
333C4×C22⋊D71C2×C411yescharacteristic
334C4×C22⋊D71C2×C411yescharacteristic
335C4×C22⋊D71C2×C411yescharacteristic
336C4×C22⋊D71C2×C411yescharacteristic
337C4×C22⋊D71C2×C411yescharacteristic
338C4×C22⋊D71C2311yescharacteristic
339C4×C22⋊D71C2311yescharacteristic
340C4×C22⋊D71C2311yescharacteristic
341C4×C22⋊D71C2311yescharacteristic
342C4×C22⋊D71C2311yescharacteristic
343C4×C22⋊D71C2311yescharacteristic
344C4×C22⋊D71C2311yescharacteristic
345C4×C22⋊D71C2311yescharacteristic
346C4×C22⋊D71C2311yescharacteristic
347C4×C22⋊D71C2311yescharacteristic
348C4×C22⋊D71C2311yescharacteristic
349C4×C22⋊D71C2311yescharacteristic
350(C22⋊D71)⋊C4C2×C411yescharacteristic
351(C22⋊D71)⋊C4C2×C411yescharacteristic
352(C22⋊D71)⋊C4C2×C411yescharacteristic
353(C22⋊D71)⋊C4C2×C411yescharacteristic
354#14556087C2×C411yescharacteristic
355#14556087C2311yescharacteristic
356#14556087C2311yescharacteristic
357#14556086C2×C411yescharacteristic
358#14556085C2×C411yescharacteristic
359#14556085C2×C411yescharacteristic
360#14556085C2311yescharacteristic
361#14556085C2311yescharacteristic
362#14556084C2×C411yescharacteristic
363#14556084C2×C411yescharacteristic
364C2×Dic71⋊C4C2×C411yescharacteristic
365C2×Dic71⋊C4C2×C411yescharacteristic
366C4⋊C4×D71C2×C411yescharacteristic
367C2×C22⋊Dic71C2×C411yescharacteristic
368C2×C22⋊Dic71C2×C411yescharacteristic
369C2×(C2×D71)⋊C4C2×C411yescharacteristic
370C2×(C2×D71)⋊C4C2×C411yescharacteristic
371C22⋊C4×D71C2×C411yescharacteristic
372C22⋊C4×D71C2×C411yescharacteristic
373C2×C4×Dic71C2311yescharacteristic
374C2×C4×Dic71C2311yescharacteristic
375C42×D71C2311yescharacteristic
376C42×D71C2311yescharacteristic
377C4⋊(C71⋊C8)C2311yescharacteristic
378C4⋊(C71⋊C8)C2311yescharacteristic
379C4⋊(C71⋊C8)C2311yescharacteristic
380C4⋊(C71⋊C8)C2311yescharacteristic
381Dic71⋊C8C2311yescharacteristic
382Dic71⋊C8C2311yescharacteristic
383Dic71⋊C8C2311yescharacteristic
384Dic71⋊C8C2311yescharacteristic
385Dic71⋊C8C2311yescharacteristic
386Dic71⋊C8C2311yescharacteristic
387Dic71⋊C8C2311yescharacteristic
388Dic71⋊C8C2311yescharacteristic
389Dic71⋊C8C2311yescharacteristic
390Dic71⋊C8C2311yescharacteristic
391Dic71⋊C8C2311yescharacteristic
392Dic71⋊C8C2311yescharacteristic
393Dic71⋊C8C2311yescharacteristic
394Dic71⋊C8C2311yescharacteristic
395Dic71⋊C8C2311yescharacteristic
396Dic71⋊C8C2311yescharacteristic
397C22⋊(C71⋊C8)C2311yescharacteristic
398C22⋊(C71⋊C8)C2311yescharacteristic
399C22⋊(C71⋊C8)C2311yescharacteristic
400C22⋊(C71⋊C8)C2311yescharacteristic
401C22⋊(C71⋊C8)C2311yescharacteristic
402C22⋊(C71⋊C8)C2311yescharacteristic
403C22⋊(C71⋊C8)C2311yescharacteristic
404C22⋊(C71⋊C8)C2311yescharacteristic
405(C2×D71)⋊C8C2311yescharacteristic
406(C2×D71)⋊C8C2311yescharacteristic
407(C2×D71)⋊C8C2311yescharacteristic
408(C2×D71)⋊C8C2311yescharacteristic
409(C2×D71)⋊C8C2311yescharacteristic
410(C2×D71)⋊C8C2311yescharacteristic
411(C2×D71)⋊C8C2311yescharacteristic
412(C2×D71)⋊C8C2311yescharacteristic
413(C2×D71)⋊C8C2311yescharacteristic
414(C2×D71)⋊C8C2311yescharacteristic
415(C2×D71)⋊C8C2311yescharacteristic
416(C2×D71)⋊C8C2311yescharacteristic
417(C2×D71)⋊C8C2311yescharacteristic
418(C2×D71)⋊C8C2311yescharacteristic
419(C2×D71)⋊C8C2311yescharacteristic
420(C2×D71)⋊C8C2311yescharacteristic
421#14556039C2311yescharacteristic
422#14556039C2311yescharacteristic
423#14556039C2311yescharacteristic
424#14556039C2311yescharacteristic
425#14556038C2311yescharacteristic
426#14556038C2311yescharacteristic
427#14556038C2311yescharacteristic
428#14556038C2311yescharacteristic
429#14556038C2311yescharacteristic
430#14556038C2311yescharacteristic
431C8×Dic71C2311yescharacteristic
432C8×Dic71C2311yescharacteristic
433C8×Dic71C2311yescharacteristic
434C8×Dic71C2311yescharacteristic
435C8×Dic71C2311yescharacteristic
436C8×Dic71C2311yescharacteristic
437C8×Dic71C2311yescharacteristic
438C8×Dic71C2311yescharacteristic
439C8×Dic71C2311yescharacteristic
440C8×Dic71C2311yescharacteristic
441C22×D4×C71C2×C411yescharacteristic
442C23×C4×C71C2311yescharacteristic
443C23×C4×C71C2311yescharacteristic
444C2×M16×C71C2311yescharacteristic
445C2×M16×C71C2311yescharacteristic
446C2×M16×C71C2311yescharacteristic
447C2×M16×C71C2311yescharacteristic
448C22×C8×C71C2311yescharacteristic
449C22×C8×C71C2311yescharacteristic
450C22×C8×C71C2311yescharacteristic
451C22×C8×C71C2311yescharacteristic
452C4×D4×C71C2×C411yescharacteristic
453C4×D4×C71C2×C411yescharacteristic
454C4×D4×C71C2×C411yescharacteristic
455C4×D4×C71C2×C411yescharacteristic
456C4×D4×C71C2311yescharacteristic
457C4×D4×C71C2311yescharacteristic
458C4×D4×C71C2311yescharacteristic
459C4×D4×C71C2311yescharacteristic
460C2×C4⋊C4×C71C2×C411yescharacteristic
461C2×C22⋊C4×C71C2×C411yescharacteristic
462C2×C22⋊C4×C71C2×C411yescharacteristic
463C2×C42×C71C2311yescharacteristic
464C4⋊C8×C71C2311yescharacteristic
465C4⋊C8×C71C2311yescharacteristic
466C4⋊C8×C71C2311yescharacteristic
467C4⋊C8×C71C2311yescharacteristic
468C22⋊C8×C71C2311yescharacteristic
469C22⋊C8×C71C2311yescharacteristic
470C22⋊C8×C71C2311yescharacteristic
471C22⋊C8×C71C2311yescharacteristic
472C22⋊C8×C71C2311yescharacteristic
473C22⋊C8×C71C2311yescharacteristic
474C22⋊C8×C71C2311yescharacteristic
475C22⋊C8×C71C2311yescharacteristic
476C22⋊C8×C71C2311yescharacteristic
477C22⋊C8×C71C2311yescharacteristic
478C22⋊C8×C71C2311yescharacteristic
479C22⋊C8×C71C2311yescharacteristic
480#97×C71C2311yescharacteristic
481#97×C71C2311yescharacteristic
482C4×C8×C71C2311yescharacteristic
483C4×C8×C71C2311yescharacteristic
484C23×D71C22×C411yescharacteristic
485C23×D71C22×C411yescharacteristic
486#11765865—24no—
487#11765865—41no—
488#11765865—41no—
489#11765865—41no—
490#11765865—41no—
491#11765864—42no—
492C2×Dic142C22×C411yescharacteristic
493C2×Dic142C22×C411yescharacteristic
494C2×Dic142C22×C411yescharacteristic
495C2×Dic142C22×C411yescharacteristic
496C2×D284C22×C411yescharacteristic
497C2×D284C22×C411yescharacteristic
498C2×D284C22×C411yescharacteristic
499C2×D284C22×C411yescharacteristic
500C2×C22⋊D71—24no—
501C2×C22⋊D71—24no—
502C2×C22⋊D71C22×C411yescharacteristic
503C2×C22⋊D71C22×C411yescharacteristic
504C2×C22⋊D71C22×C411yescharacteristic
505C2×C22⋊D71C22×C411yescharacteristic
506C2×C22⋊D71C22×C411yescharacteristic
507C2×C22⋊D71C22×C411yescharacteristic
508C2×C22⋊D71C22×C411yescharacteristic
509C2×C22⋊D71C22×C411yescharacteristic
510C2×C22⋊D71C22×C411yescharacteristic
511C2×C22⋊D71C22×C411yescharacteristic
512C2×C22⋊D71C22×C411yescharacteristic
513C2×C22⋊D71C22×C411yescharacteristic
514C2×C22⋊D71C22×C411yescharacteristic
515C2×C22⋊D71C22×C411yescharacteristic
516C2×C22⋊D71C22×C411yescharacteristic
517C2×C22⋊D71C22×C411yescharacteristic
518D4×D71—42no—
519C22×Dic71C22×C411yescharacteristic
520C22×Dic71C22×C411yescharacteristic
521C22×Dic71C22×C411yescharacteristic
522C22×Dic71C22×C411yescharacteristic
523C22×Dic71C22×C411yescharacteristic
524C22×Dic71C22×C411yescharacteristic
525C2×C4×D71—41no—
526C2×C4×D71—41no—
527C2×C4×D71—41no—
528C2×C4×D71—41no—
529C2×C4×D71C22×C411yescharacteristic
530C2×C4×D71C22×C411yescharacteristic
531C2×C4×D71C22×C411yescharacteristic
532C2×C4×D71C22×C411yescharacteristic
533C2×C4×D71C22×C411yescharacteristic
534C2×C4×D71C22×C411yescharacteristic
535C2×C4×D71C22×C411yescharacteristic
536C2×C4×D71C22×C411yescharacteristic
537C2×C4×D71C2411yescharacteristic
538C2×C4×D71C2411yescharacteristic
539C2×C4×D71C2411yescharacteristic
540C2×C4×D71C2411yescharacteristic
541#11765849—22no—
542#11765849—22no—
543#11765849—41no—
544#11765849—41no—
545#11765848—22no—
546#11765848—22no—
547#11765848—41no—
548#11765848—41no—
549#11765848—41no—
550#11765848—41no—
551C2×C71⋊C8—22no—
552C2×C71⋊C8—22no—
553C2×C71⋊C8—22no—
554C2×C71⋊C8—41no—
555C2×C71⋊C8—41no—
556C2×C71⋊C8—41no—
557C2×C71⋊C8—41no—
558C2×C71⋊C8—41no—
559C2×C71⋊C8C2411yescharacteristic
560C2×C71⋊C8C2411yescharacteristic
561C2×C71⋊C8C2411yescharacteristic
562C2×C71⋊C8C2411yescharacteristic
563C2×C71⋊C8C2411yescharacteristic
564C2×C71⋊C8C2411yescharacteristic
565C2×C71⋊C8C2411yescharacteristic
566C2×C71⋊C8C2411yescharacteristic
567C8×D71—22no—
568C8×D71—22no—
569C8×D71—41no—
570C8×D71—41no—
571C8×D71—41no—
572C8×D71—41no—
573C8×D71—41no—
574C8×D71—41no—
575C8×D71—41no—
576C8×D71—41no—
577C4⋊Dic71C22×C411yescharacteristic
578C4⋊Dic71C22×C411yescharacteristic
579C4⋊Dic71C22×C411yescharacteristic
580C4⋊Dic71C22×C411yescharacteristic
581C4⋊Dic71C22×C411yescharacteristic
582C4⋊Dic71C22×C411yescharacteristic
583C4⋊Dic71C22×C411yescharacteristic
584C4⋊Dic71C22×C411yescharacteristic
585Dic71⋊C4C22×C411yescharacteristic
586Dic71⋊C4C22×C411yescharacteristic
587Dic71⋊C4C22×C411yescharacteristic
588Dic71⋊C4C22×C411yescharacteristic
589Dic71⋊C4C22×C411yescharacteristic
590Dic71⋊C4C22×C411yescharacteristic
591Dic71⋊C4C22×C411yescharacteristic
592Dic71⋊C4C22×C411yescharacteristic
593Dic71⋊C4C22×C411yescharacteristic
594Dic71⋊C4C22×C411yescharacteristic
595Dic71⋊C4C22×C411yescharacteristic
596Dic71⋊C4C22×C411yescharacteristic
597Dic71⋊C4C22×C411yescharacteristic
598Dic71⋊C4C22×C411yescharacteristic
599Dic71⋊C4C22×C411yescharacteristic
600Dic71⋊C4C22×C411yescharacteristic
601Dic71⋊C4C22×C411yescharacteristic
602Dic71⋊C4C22×C411yescharacteristic
603Dic71⋊C4C22×C411yescharacteristic
604Dic71⋊C4C22×C411yescharacteristic
605C22⋊Dic71C22×C411yescharacteristic
606C22⋊Dic71C22×C411yescharacteristic
607C22⋊Dic71C22×C411yescharacteristic
608C22⋊Dic71C22×C411yescharacteristic
609C22⋊Dic71C22×C411yescharacteristic
610C22⋊Dic71C22×C411yescharacteristic
611C22⋊Dic71C22×C411yescharacteristic
612C22⋊Dic71C22×C411yescharacteristic
613C22⋊Dic71C22×C411yescharacteristic
614C22⋊Dic71C22×C411yescharacteristic
615C22⋊Dic71C22×C411yescharacteristic
616C22⋊Dic71C22×C411yescharacteristic
617C22⋊Dic71C22×C411yescharacteristic
618C22⋊Dic71C22×C411yescharacteristic
619C22⋊Dic71C22×C411yescharacteristic
620C22⋊Dic71C22×C411yescharacteristic
621(C2×D71)⋊C4C22×C411yescharacteristic
622(C2×D71)⋊C4C22×C411yescharacteristic
623(C2×D71)⋊C4C22×C411yescharacteristic
624(C2×D71)⋊C4C22×C411yescharacteristic
625(C2×D71)⋊C4C22×C411yescharacteristic
626(C2×D71)⋊C4C22×C411yescharacteristic
627(C2×D71)⋊C4C22×C411yescharacteristic
628(C2×D71)⋊C4C22×C411yescharacteristic
629(C2×D71)⋊C4C22×C411yescharacteristic
630(C2×D71)⋊C4C22×C411yescharacteristic
631(C2×D71)⋊C4C22×C411yescharacteristic
632(C2×D71)⋊C4C22×C411yescharacteristic
633(C2×D71)⋊C4C22×C411yescharacteristic
634(C2×D71)⋊C4C22×C411yescharacteristic
635(C2×D71)⋊C4C22×C411yescharacteristic
636(C2×D71)⋊C4C22×C411yescharacteristic
637(C2×D71)⋊C4C22×C411yescharacteristic
638(C2×D71)⋊C4C22×C411yescharacteristic
639(C2×D71)⋊C4C22×C411yescharacteristic
640(C2×D71)⋊C4C22×C411yescharacteristic
641C4×Dic71C22×C411yescharacteristic
642C4×Dic71C22×C411yescharacteristic
643C4×Dic71C22×C411yescharacteristic
644C4×Dic71C22×C411yescharacteristic
645C4×Dic71C22×C411yescharacteristic
646C4×Dic71C22×C411yescharacteristic
647C4×Dic71C22×C411yescharacteristic
648C4×Dic71C22×C411yescharacteristic
649C4×Dic71C2411yescharacteristic
650C4×Dic71C2411yescharacteristic
651C4×Dic71C2411yescharacteristic
652C4×Dic71C2411yescharacteristic
653C24×C71C22×C411yescharacteristic
654C24×C71C22×C411yescharacteristic
655C2×D4×C71—42no—
656C2×D4×C71C22×C411yescharacteristic
657C2×D4×C71C22×C411yescharacteristic
658C2×D4×C71C22×C411yescharacteristic
659C2×D4×C71C22×C411yescharacteristic
660C22×C4×C71—41no—
661C22×C4×C71—41no—
662C22×C4×C71—41no—
663C22×C4×C71—41no—
664C22×C4×C71C22×C411yescharacteristic
665C22×C4×C71C22×C411yescharacteristic
666C22×C4×C71C22×C411yescharacteristic
667C22×C4×C71C22×C411yescharacteristic
668C22×C4×C71C22×C411yescharacteristic
669C22×C4×C71C22×C411yescharacteristic
670C22×C4×C71C22×C411yescharacteristic
671C22×C4×C71C22×C411yescharacteristic
672C22×C4×C71C2411yescharacteristic
673C22×C4×C71C2411yescharacteristic
674C22×C4×C71C2411yescharacteristic
675C22×C4×C71C2411yescharacteristic
676C22×C4×C71C2411yescharacteristic
677M16×C71—41no—
678M16×C71—41no—
679M16×C71—41no—
680M16×C71—41no—
681C2×C8×C71—41no—
682C2×C8×C71—41no—
683C2×C8×C71—41no—
684C2×C8×C71—41no—
685C2×C8×C71C2411yescharacteristic
686C2×C8×C71C2411yescharacteristic
687C2×C8×C71C2411yescharacteristic
688C2×C8×C71C2411yescharacteristic
689C2×C8×C71C2411yescharacteristic
690C2×C8×C71C2411yescharacteristic
691C2×C8×C71C2411yescharacteristic
692C2×C8×C71C2411yescharacteristic
693C4⋊C4×C71C22×C411yescharacteristic
694C4⋊C4×C71C22×C411yescharacteristic
695C4⋊C4×C71C22×C411yescharacteristic
696C4⋊C4×C71C22×C411yescharacteristic
697C22⋊C4×C71C22×C411yescharacteristic
698C22⋊C4×C71C22×C411yescharacteristic
699C22⋊C4×C71C22×C411yescharacteristic
700C22⋊C4×C71C22×C411yescharacteristic
701C22⋊C4×C71C22×C411yescharacteristic
702C22⋊C4×C71C22×C411yescharacteristic
703C22⋊C4×C71C22×C411yescharacteristic
704C22⋊C4×C71C22×C411yescharacteristic
705C42×C71C22×C411yescharacteristic
706C42×C71C22×C411yescharacteristic
707C42×C71C2411yescharacteristic
708C42×C71C2411yescharacteristic
709C23×C71—22no—
710C23×C71—22no—
711C23×C71—22no—
712C23×C71—41no—
713C23×C71—41no—
714C23×C71—41no—
715C23×C71C23×C411yescharacteristic
716C23×C71C23×C411yescharacteristic
717C23×C71C23×C411yescharacteristic
718C23×C71C23×C411yescharacteristic
719C23×C71C23×C411yescharacteristic
720C22×D71—22no—
721C22×D71—22no—
722C22×D71—22no—
723C22×D71—41no—
724C22×D71—41no—
725C22×D71—41no—
726C22×D71C23×C411yescharacteristic
727C22×D71C23×C411yescharacteristic
728C22×D71C23×C411yescharacteristic
729C22×D71C23×C411yescharacteristic
730D4×C71—22no—
731D4×C71—22no—
732D4×C71—41no—
733D4×C71—41no—
734C2×C4×C71—22no—
735C2×C4×C71—21no—
736C2×C4×C71—21no—
737C2×C4×C71—21no—
738C2×C4×C71—21no—
739C2×C4×C71—21no—
740C2×C4×C71—21no—
741C2×C4×C71—21no—
742C2×C4×C71—21no—
743C2×C4×C71—21no—
744C2×C4×C71—21no—
745C2×C4×C71—41no—
746C2×C4×C71—41no—
747C2×C4×C71—41no—
748C2×C4×C71—41no—
749C2×C4×C71—41no—
750C2×C4×C71—41no—
751C2×C4×C71—41no—
752C2×C4×C71C23×C411yescharacteristic
753C2×C4×C71C23×C411yescharacteristic
754C2×C4×C71C23×C411yescharacteristic
755C2×C4×C71C23×C411yescharacteristic
756C2×C4×C71C23×C411yescharacteristic
757C2×C4×C71C23×C411yescharacteristic
758C2×C4×C71C23×C411yescharacteristic
759C2×C4×C71C23×C411yescharacteristic
760C2×C4×C71C23×C411yescharacteristic
761C2×C4×C71C2511yescharacteristic
762C22⋊D71—22no—
763C22⋊D71—22no—
764C22⋊D71—22no—
765C22⋊D71—22no—
766C22⋊D71—22no—
767C22⋊D71—22no—
768C22⋊D71—22no—
769C22⋊D71—22no—
770C22⋊D71—22no—
771C22⋊D71—41no—
772C22⋊D71—41no—
773C22⋊D71—41no—
774C22⋊D71—41no—
775C22⋊D71—41no—
776C22⋊D71—41no—
777C22⋊D71#13114yescomplemented
778C2×Dic71—22no—
779C2×Dic71—22no—
780C2×Dic71—22no—
781C2×Dic71—41no—
782C2×Dic71—41no—
783C2×Dic71—41no—
784C2×Dic71C23×C411yescharacteristic
785C2×Dic71C23×C411yescharacteristic
786C2×Dic71C23×C411yescharacteristic
787C2×Dic71C23×C411yescharacteristic
788C2×Dic71C23×C411yescharacteristic
789C2×Dic71C23×C411yescharacteristic
790C2×Dic71C23×C411yescharacteristic
791C2×Dic71C23×C411yescharacteristic
792C2×Dic71C23×C411yescharacteristic
793C2×Dic71C23×C411yescharacteristic
794C2×Dic71C23×C411yescharacteristic
795C2×Dic71C23×C411yescharacteristic
796D284—22no—
797D284—41no—
798D284—41no—
799D284—41no—
800C4×D71—22no—
801C4×D71—21no—
802C4×D71—21no—
803C4×D71—21no—
804C4×D71—21no—
805C4×D71—21no—
806C4×D71—21no—
807C4×D71—21no—
808C4×D71—21no—
809C4×D71—22no—
810C4×D71—41no—
811C4×D71—41no—
812C4×D71—41no—
813C4×D71—41no—
814C4×D71—41no—
815C4×D71—41no—
816Dic142—22no—
817Dic142—41no—
818Dic142—41no—
819Dic142—41no—
820C8×C71—21no—
821C8×C71—21no—
822C8×C71—21no—
823C8×C71—21no—
824C8×C71—21no—
825C8×C71—21no—
826C8×C71—21no—
827C8×C71—21no—
828C71⋊C8—21no—
829C71⋊C8—21no—
830C71⋊C8—21no—
831C71⋊C8—21no—
832C71⋊C8—21no—
833C71⋊C8—21no—
834C71⋊C8—21no—
835C71⋊C8H(5,𝔽2)12yes—
836C22×C71—21no—
837C22×C71—21no—
838C22×C71—21no—
839C22×C71—21no—
840C22×C71—21no—
841C22×C71—21no—
842C22×C71—21no—
843C22×C71—21no—
844C22×C71—21no—
845C22×C71—21no—
846C22×C71—21no—
847C22×C71—21no—
848C22×C71—21no—
849C22×C71—44no—
850C22×C71—82no—
851C22×C71C2×#13112yes—
852C22×C71#56812yes—
853C22×C71C24×C411yescharacteristic
854C2×D71—21no—
855C2×D71—21no—
856C2×D71—21no—
857C2×D71—21no—
858C2×D71—21no—
859C2×D71—21no—
860C2×D71—21no—
861C2×D71—21no—
862C2×D71—21no—
863C2×D71—21no—
864C2×D71—21no—
865C2×D71—44no—
866C2×D71—82no—
867C2×D71C2×#13112yes—
868C4×C71—21no—
869C4×C71—21no—
870C4×C71—21no—
871C4×C71—21no—
872C4×C71—21no—
873C4×C71—21no—
874C4×C71—21no—
875C4×C71—21no—
876C4×C71—21no—
877C4×C71C2×H(5,𝔽2)11yescharacteristic
878C4×C71#58511yescharacteristic
879Dic71—21no—
880Dic71—21no—
881Dic71—21no—
882Dic71—21no—
883Dic71—21no—
884Dic71—21no—
885Dic71—21no—
886Dic71—21no—
887Dic71—21no—
888Dic71—21no—
889Dic71—21no—
890Dic71C2×#13112yes—
891#60311—711nomaximal, Sylow
892C2×C71—22no—
893C2×C71—22no—
894C2×C71—41no—
895C2×C71—41no—
896C2×C71—41no—
897C2×C71C4×H(5,𝔽2)11yescharacteristic
898C2×C71C22×#13111yescharacteristic
899C2×C71C2×#56811yescharacteristic
900D71—22no—
901D71—41no—
902D71—41no—
903D71—41no—
904#3481—711no—
905#2994—711no—
906#2993—711no—
907#2992—711no—
908#2992—711no—
909#2990—711no—
910#2988—711no—
911#2981—711no—
912#2977—711no—
913#2977—711no—
914#2976—711no—
915#2976—711no—
916#2974—711no—
917#2974—711no—
918#2974D7111yescharacteristic, complemented
919#2972—711no—
920#2970—711no—
921#2969—711no—
922#2968—711no—
923#2968—711no—
924#2966—711no—
925#2965—711no—
926#2935—711no—
927D4×M16—711no—
928#2933—711no—
929#2933—711no—
930#2929—711no—
931#2929—711no—
932C2×#435—711no—
933C2×#435—711no—
934C2×C8×D4—711no—
935C71#6031111yescharacteristic, complemented, Sylow
936C2×#131—711no—
937C2×#131—711no—
938C22×M16—711no—
939C22×M16—711no—
940C23×C8—711no—
941C23×C8—711no—
942#559—711no—
943#554—711no—
944#554—711no—
945#553—711no—
946#553—711no—
947#553—711no—
948#553—711no—
949#551—711no—
950#551—711no—
951#551—711no—
952#551—711no—
953#546—711no—
954#546—711no—
955#546—711no—
956#546—711no—
957D42—711no—
958#532—711no—
959#529—711no—
960#529—711no—
961#529—711no—
962#529—711no—
963#525—711no—
964#525—711no—
965#525—711no—
966#525—711no—
967C4×#41—711no—
968C4×#41—711no—
969C2×C4×D4—711no—
970C2×C4×D4—711no—
971C2×C4×D4—711no—
972C2×C4×D4C2×D7111yescharacteristic
973#446—711no—
974#446—711no—
975#446—711no—
976#446—711no—
977#446—711no—
978#446—711no—
979C8×Q8—711no—
980C8×Q8—711no—
981#436—711no—
982#436—711no—
983#436—711no—
984#436—711no—
985#436—711no—
986#436—711no—
987#436—711no—
988#436—711no—
989#436C2×D7111yescharacteristic, complemented
990#436C2×D7111yescharacteristic, complemented
991#435—711no—
992#435—711no—
993#435—711no—
994#435—711no—
995#435—711no—
996#435—711no—
997#435—711no—
998#435—711no—
999#435—711no—
1000#435—711no—
1001#435—711no—
1002#435—711no—
1003#435—711no—
1004#435—711no—
1005#435—711no—
1006#435—711no—
1007#435—711no—
1008#435—711no—
1009#435—711no—
1010#435—711no—
1011#435—711no—
1012#435—711no—
1013#435—711no—
1014#435—711no—
1015#435—711no—
1016#435—711no—
1017#435—711no—
1018#435—711no—
1019#435—711no—
1020#435—711no—
1021#435—711no—
1022#435—711no—
1023#435C2×D7111yescharacteristic
1024#435C2×D7111yescharacteristic
1025#435C2×D7111yescharacteristic, complemented
1026#435C2×D7111yescharacteristic, complemented
1027C8×D4—711no—
1028C8×D4—711no—
1029C8×D4—711no—
1030C8×D4—711no—
1031C8×D4—711no—
1032C8×D4—711no—
1033C8×D4—711no—
1034C8×D4—711no—
1035C8×D4—711no—
1036C8×D4—711no—
1037C8×D4—711no—
1038C8×D4—711no—
1039C8×D4—711no—
1040C8×D4—711no—
1041C8×D4—711no—
1042C8×D4—711no—
1043C8×D4—711no—
1044C8×D4—711no—
1045C8×D4—711no—
1046C8×D4—711no—
1047C8×D4—711no—
1048C8×D4—711no—
1049C8×D4—711no—
1050C8×D4—711no—
1051C8×D4C2×D7111yescharacteristic, complemented
1052C8×D4C2×D7111yescharacteristic, complemented
1053#433—711no—
1054#433—711no—
1055#433—711no—
1056#433—711no—
1057#433—711no—
1058#433—711no—
1059#433—711no—
1060#433—711no—
1061#432—711no—
1062#432—711no—
1063#432—711no—
1064#432C2×D7111yescharacteristic, complemented
1065#431—711no—
1066#431—711no—
1067#431—711no—
1068#431—711no—
1069#431—711no—
1070#431C2×D7111yescharacteristic, complemented
1071#424—711no—
1072#424—711no—
1073#424—711no—
1074#424—711no—
1075#423—711no—
1076C2×C4⋊C8—711no—
1077C2×C4⋊C8—711no—
1078C2×C4⋊C8—711no—
1079C2×C4⋊C8—711no—
1080#408—711no—
1081#408—711no—
1082#408—711no—
1083#408—711no—
1084#408—711no—
1085#408—711no—
1086#407—711no—
1087#407—711no—
1088#407C2×D7111yescharacteristic, complemented
1089#407C2×D7111yescharacteristic, complemented
1090C2×C22⋊C8—711no—
1091C2×C22⋊C8—711no—
1092C2×C22⋊C8—711no—
1093C2×C22⋊C8—711no—
1094C2×C22⋊C8—711no—
1095C2×C22⋊C8—711no—
1096C2×C22⋊C8C2×D7111yescharacteristic, complemented
1097C2×C22⋊C8C2×D7111yescharacteristic, complemented
1098#405—711no—
1099#405—711no—
1100#405—711no—
1101#405—711no—
1102C4×M16—711no—
1103C4×M16—711no—
1104C2×#97—711no—
1105C2×#97—711no—
1106C2×C4×C8—711no—
1107C2×#41—711no—
1108C2×#41—711no—
1109C2×#41—711no—
1110C2×#41—711no—
1111C22×D4—711no—
1112C22×D4—711no—
1113C22×D4—711no—
1114C22×D4C4×D7111yescharacteristic
1115C23×C4—711no—
1116C23×C4—711no—
1117C23×C4C22×D7111yescharacteristic
1118C23×C4C22×D7111yescharacteristic
1119#131—2842no—
1120#131—2842no—
1121C2×M16—2842no—
1122C2×M16—2842no—
1123C2×M16—711no—
1124C2×M16—711no—
1125C2×M16—711no—
1126C2×M16—711no—
1127C2×M16—711no—
1128C2×M16—711no—
1129C2×M16—711no—
1130C2×M16—711no—
1131C2×M16—711no—
1132C2×M16—711no—
1133C2×M16C22×D7111yescharacteristic
1134C2×M16C22×D7111yescharacteristic
1135C2×M16C22×D7111yescharacteristic
1136C2×M16C22×D7111yescharacteristic
1137C22×C8—2842no—
1138C22×C8—2842no—
1139C22×C8—711no—
1140C22×C8—711no—
1141C22×C8—711no—
1142C22×C8—711no—
1143C22×C8—711no—
1144C22×C8—711no—
1145C22×C8—711no—
1146C22×C8—711no—
1147C22×C8—711no—
1148C22×C8—711no—
1149C22×C8—711no—
1150C22×C8—711no—
1151C22×C8—711no—
1152C22×C8—711no—
1153C22×C8—711no—
1154C22×C8—711no—
1155C22×C8—711no—
1156C22×C8—711no—
1157C22×C8C22×D7111yescharacteristic
1158C22×C8C22×D7111yescharacteristic
1159C22×C8C22×D7111yescharacteristic
1160C22×C8C22×D7111yescharacteristic
1161C4⋊Q8—711no—
1162#127—711no—
1163#126—711no—
1164#126—711no—
1165#126—711no—
1166#126—711no—
1167#126—711no—
1168#126—711no—
1169#126—711no—
1170#126—711no—
1171#125—711no—
1172#125—711no—
1173#125—711no—
1174#125—711no—
1175#124—711no—
1176#124—711no—
1177#124—711no—
1178#124—711no—
1179#124—711no—
1180#124—711no—
1181#123—711no—
1182#123—711no—
1183#123—711no—
1184#123—711no—
1185#123—711no—
1186#123—711no—
1187#123—711no—
1188#123—711no—
1189#123—711no—
1190#123—711no—
1191#123—711no—
1192#123—711no—
1193#123—711no—
1194#123—711no—
1195#123—711no—
1196#123—711no—
1197C22⋊Q8—711no—
1198C22⋊Q8—711no—
1199C22⋊Q8—711no—
1200C22⋊Q8—711no—
1201C22⋊Q8—711no—
1202C22⋊Q8—711no—
1203C22⋊Q8—711no—
1204C22⋊Q8—711no—
1205C22⋊Q8—711no—
1206C22⋊Q8—711no—
1207C22⋊Q8—711no—
1208C22⋊Q8—711no—
1209#121—711no—
1210#121—711no—
1211#121—711no—
1212#121—711no—
1213#121—711no—
1214#121—711no—
1215#121—711no—
1216#121—711no—
1217#121—711no—
1218#121—711no—
1219#121—711no—
1220#121—711no—
1221#121—711no—
1222#121—711no—
1223#121—711no—
1224#121—711no—
1225#120—711no—
1226#120—711no—
1227#120—711no—
1228#120—711no—
1229#120—711no—
1230#120—711no—
1231#120—711no—
1232#120—711no—
1233C4×Q8—711no—
1234C4×Q8—711no—
1235C4×Q8—711no—
1236C4×Q8—711no—
1237C4×D4—711no—
1238C4×D4—711no—
1239C4×D4—711no—
1240C4×D4—711no—
1241C4×D4—711no—
1242C4×D4—711no—
1243C4×D4—711no—
1244C4×D4—711no—
1245C4×D4—711no—
1246C4×D4—711no—
1247C4×D4—711no—
1248C4×D4—711no—
1249C4×D4—711no—
1250C4×D4—711no—
1251C4×D4—711no—
1252C4×D4—711no—
1253C4×D4—711no—
1254C4×D4—711no—
1255C4×D4—711no—
1256C4×D4—711no—
1257C4×D4—711no—
1258C4×D4—711no—
1259C4×D4—711no—
1260C4×D4—711no—
1261C4×D4—711no—
1262C4×D4—711no—
1263C4×D4—711no—
1264C4×D4—711no—
1265C4×D4—711no—
1266C4×D4—711no—
1267C4×D4—711no—
1268C4×D4—711no—
1269C4×D4C4×D7111yescharacteristic
1270C4×D4C4×D7111yescharacteristic
1271C4×D4C4×D7111yescharacteristic
1272C4×D4C4×D7111yescharacteristic
1273C4×D4C22×D7111yescharacteristic
1274C4×D4C22×D7111yescharacteristic
1275C4×D4C22×D7111yescharacteristic
1276C4×D4C22×D7111yescharacteristic
1277#117—711no—
1278#117—711no—
1279#117—711no—
1280#117—711no—
1281#117—711no—
1282#117—711no—
1283#117—711no—
1284#117—711no—
1285#117—711no—
1286#117—711no—
1287C2×C4⋊C4—711no—
1288C2×C4⋊C4—711no—
1289C2×C4⋊C4—711no—
1290C2×C4⋊C4C4×D7111yescharacteristic
1291C2×C22⋊C4—711no—
1292C2×C22⋊C4—711no—
1293C2×C22⋊C4—711no—
1294C2×C22⋊C4—711no—
1295C2×C22⋊C4—711no—
1296C2×C22⋊C4—711no—
1297C2×C22⋊C4C4×D7111yescharacteristic
1298C2×C22⋊C4C4×D7111yescharacteristic
1299C2×C42—711no—
1300C2×C42—711no—
1301C2×C42—711no—
1302C2×C42—711no—
1303C2×C42C22×D7111yescharacteristic
1304C4⋊C8—711no—
1305C4⋊C8—711no—
1306C4⋊C8—711no—
1307C4⋊C8—711no—
1308C4⋊C8—711no—
1309C4⋊C8—711no—
1310C4⋊C8—711no—
1311C4⋊C8—711no—
1312C4⋊C8—711no—
1313C4⋊C8—711no—
1314C4⋊C8—711no—
1315C4⋊C8—711no—
1316C4⋊C8—711no—
1317C4⋊C8—711no—
1318C4⋊C8—711no—
1319C4⋊C8—711no—
1320C4⋊C8—711no—
1321C4⋊C8—711no—
1322C4⋊C8—711no—
1323C4⋊C8—711no—
1324C4⋊C8C22×D7111yescharacteristic
1325C4⋊C8C22×D7111yescharacteristic
1326C4⋊C8C22×D7111yescharacteristic
1327C4⋊C8C22×D7111yescharacteristic
1328C22⋊C8—711no—
1329C22⋊C8—711no—
1330C22⋊C8—711no—
1331C22⋊C8—711no—
1332C22⋊C8—711no—
1333C22⋊C8—711no—
1334C22⋊C8—711no—
1335C22⋊C8—711no—
1336C22⋊C8—711no—
1337C22⋊C8—711no—
1338C22⋊C8—711no—
1339C22⋊C8—711no—
1340C22⋊C8—711no—
1341C22⋊C8—711no—
1342C22⋊C8—711no—
1343C22⋊C8—711no—
1344C22⋊C8—711no—
1345C22⋊C8—711no—
1346C22⋊C8—711no—
1347C22⋊C8—711no—
1348C22⋊C8—711no—
1349C22⋊C8—711no—
1350C22⋊C8—711no—
1351C22⋊C8—711no—
1352C22⋊C8C22×D7111yescharacteristic
1353C22⋊C8C22×D7111yescharacteristic
1354C22⋊C8C22×D7111yescharacteristic
1355C22⋊C8C22×D7111yescharacteristic
1356C22⋊C8C22×D7111yescharacteristic
1357C22⋊C8C22×D7111yescharacteristic
1358C22⋊C8C22×D7111yescharacteristic
1359C22⋊C8C22×D7111yescharacteristic
1360C22⋊C8C22×D7111yescharacteristic
1361C22⋊C8C22×D7111yescharacteristic
1362C22⋊C8C22×D7111yescharacteristic
1363C22⋊C8C22×D7111yescharacteristic
1364#97—711no—
1365#97—711no—
1366#97—711no—
1367#97—711no—
1368#97—711no—
1369#97—711no—
1370#97—711no—
1371#97—711no—
1372#97—711no—
1373#97—711no—
1374#97C22×D7111yescharacteristic
1375#97C22×D7111yescharacteristic
1376C4×C8—711no—
1377C4×C8—711no—
1378C4×C8—711no—
1379C4×C8—711no—
1380C4×C8—711no—
1381C4×C8—711no—
1382C4×C8—711no—
1383C4×C8—711no—
1384C4×C8—711no—
1385C4×C8—711no—
1386C4×C8C22×D7111yescharacteristic
1387C4×C8C22×D7111yescharacteristic
1388C24—711no—
1389C24—711no—
1390C24C2×C4×D7111yescharacteristic
1391C24C2×C4×D7111yescharacteristic
1392#41—2841no—
1393#41—2841no—
1394#41—2841no—
1395#41—2841no—
1396#41—2842no—
1397#41—1424no—
1398C2×Q8—711no—
1399C2×Q8—711no—
1400C2×Q8—711no—
1401C2×Q8—711no—
1402C2×D4—42no—
1403C2×D4—2842no—
1404C2×D4—711no—
1405C2×D4—711no—
1406C2×D4—711no—
1407C2×D4—711no—
1408C2×D4—711no—
1409C2×D4—711no—
1410C2×D4—711no—
1411C2×D4—711no—
1412C2×D4—711no—
1413C2×D4—711no—
1414C2×D4—711no—
1415C2×D4—711no—
1416C2×D4—711no—
1417C2×D4—711no—
1418C2×D4—711no—
1419C2×D4—711no—
1420C2×D4—711no—
1421C2×D4—711no—
1422C2×D4—711no—
1423C2×D4—711no—
1424C2×D4—1424no—
1425C2×D4—1424no—
1426C2×D4C2×C4×D7111yescharacteristic
1427C2×D4C2×C4×D7111yescharacteristic
1428C2×D4C2×C4×D7111yescharacteristic
1429C2×D4C2×C4×D7111yescharacteristic
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—41no—
1434C22×C4—2841no—
1435C22×C4—2841no—
1436C22×C4—2841no—
1437C22×C4—2841no—
1438C22×C4—711no—
1439C22×C4—711no—
1440C22×C4—711no—
1441C22×C4—711no—
1442C22×C4—711no—
1443C22×C4—711no—
1444C22×C4—711no—
1445C22×C4—711no—
1446C22×C4—711no—
1447C22×C4—711no—
1448C22×C4—711no—
1449C22×C4—711no—
1450C22×C4—711no—
1451C22×C4—711no—
1452C22×C4—711no—
1453C22×C4—711no—
1454C22×C4—711no—
1455C22×C4—711no—
1456C22×C4C2×C4×D7111yescharacteristic
1457C22×C4C2×C4×D7111yescharacteristic
1458C22×C4C2×C4×D7111yescharacteristic
1459C22×C4C2×C4×D7111yescharacteristic
1460C22×C4C2×C4×D7111yescharacteristic
1461C22×C4C2×C4×D7111yescharacteristic
1462C22×C4C2×C4×D7111yescharacteristic
1463C22×C4C2×C4×D7111yescharacteristic
1464C22×C4C23×D7111yescharacteristic
1465C22×C4C23×D7111yescharacteristic
1466C22×C4C23×D7111yescharacteristic
1467C22×C4C23×D7111yescharacteristic
1468C22×C4C23×D7111yescharacteristic
1469M16—41no—
1470M16—41no—
1471M16—41no—
1472M16—41no—
1473M16—2841no—
1474M16—2841no—
1475M16—2841no—
1476M16—2841no—
1477M16—2841no—
1478M16—2841no—
1479M16—1422no—
1480M16—1422no—
1481M16—1422no—
1482M16—1422no—
1483C2×C8—41no—
1484C2×C8—41no—
1485C2×C8—41no—
1486C2×C8—41no—
1487C2×C8—2841no—
1488C2×C8—2841no—
1489C2×C8—2841no—
1490C2×C8—2841no—
1491C2×C8—2841no—
1492C2×C8—2841no—
1493C2×C8—2841no—
1494C2×C8—2841no—
1495C2×C8—2841no—
1496C2×C8—2841no—
1497C2×C8—2841no—
1498C2×C8—2841no—
1499C2×C8—2841no—
1500C2×C8—711no—
1501C2×C8—711no—
1502C2×C8—711no—
1503C2×C8—711no—
1504C2×C8—711no—
1505C2×C8—711no—
1506C2×C8—711no—
1507C2×C8—711no—
1508C2×C8—1422no—
1509C2×C8—1422no—
1510C2×C8—1422no—
1511C2×C8—1422no—
1512C2×C8—1422no—
1513C2×C8C23×D7111yescharacteristic
1514C2×C8C23×D7111yescharacteristic
1515C2×C8C23×D7111yescharacteristic
1516C2×C8C23×D7111yescharacteristic
1517C2×C8C23×D7111yescharacteristic
1518C2×C8C23×D7111yescharacteristic
1519C2×C8C23×D7111yescharacteristic
1520C2×C8C23×D7111yescharacteristic
1521C4⋊C4—711no—
1522C4⋊C4—711no—
1523C4⋊C4—711no—
1524C4⋊C4—711no—
1525C4⋊C4—711no—
1526C4⋊C4—711no—
1527C4⋊C4—711no—
1528C4⋊C4—711no—
1529C4⋊C4—711no—
1530C4⋊C4—711no—
1531C4⋊C4—711no—
1532C4⋊C4—711no—
1533C4⋊C4—711no—
1534C4⋊C4—711no—
1535C4⋊C4—711no—
1536C4⋊C4—711no—
1537C4⋊C4—711no—
1538C4⋊C4—711no—
1539C4⋊C4—711no—
1540C4⋊C4—711no—
1541C4⋊C4—711no—
1542C4⋊C4—711no—
1543C4⋊C4—711no—
1544C4⋊C4—711no—
1545C4⋊C4—711no—
1546C4⋊C4—711no—
1547C4⋊C4—711no—
1548C4⋊C4—711no—
1549C4⋊C4C2×C4×D7111yescharacteristic
1550C4⋊C4C2×C4×D7111yescharacteristic
1551C4⋊C4C2×C4×D7111yescharacteristic
1552C4⋊C4C2×C4×D7111yescharacteristic
1553C22⋊C4—711no—
1554C22⋊C4—711no—
1555C22⋊C4—711no—
1556C22⋊C4—711no—
1557C22⋊C4—711no—
1558C22⋊C4—711no—
1559C22⋊C4—711no—
1560C22⋊C4—711no—
1561C22⋊C4—711no—
1562C22⋊C4—711no—
1563C22⋊C4—711no—
1564C22⋊C4—711no—
1565C22⋊C4—711no—
1566C22⋊C4—711no—
1567C22⋊C4—711no—
1568C22⋊C4—711no—
1569C22⋊C4—711no—
1570C22⋊C4—711no—
1571C22⋊C4—711no—
1572C22⋊C4—711no—
1573C22⋊C4—711no—
1574C22⋊C4—711no—
1575C22⋊C4—711no—
1576C22⋊C4—711no—
1577C22⋊C4—711no—
1578C22⋊C4—711no—
1579C22⋊C4—711no—
1580C22⋊C4—711no—
1581C22⋊C4—711no—
1582C22⋊C4—711no—
1583C22⋊C4—711no—
1584C22⋊C4—711no—
1585C22⋊C4—711no—
1586C22⋊C4—711no—
1587C22⋊C4—711no—
1588C22⋊C4—711no—
1589C22⋊C4C2×C4×D7111yescharacteristic
1590C22⋊C4C2×C4×D7111yescharacteristic
1591C22⋊C4C2×C4×D7111yescharacteristic
1592C22⋊C4C2×C4×D7111yescharacteristic
1593C22⋊C4C2×C4×D7111yescharacteristic
1594C22⋊C4C2×C4×D7111yescharacteristic
1595C22⋊C4C2×C4×D7111yescharacteristic
1596C22⋊C4C2×C4×D7111yescharacteristic
1597C42—711no—
1598C42—711no—
1599C42—711no—
1600C42—711no—
1601C42—711no—
1602C42—711no—
1603C42—711no—
1604C42—711no—
1605C42—711no—
1606C42—711no—
1607C42—711no—
1608C42—711no—
1609C42C2×C4×D7111yescharacteristic
1610C42C2×C4×D7111yescharacteristic
1611C42C23×D7111yescharacteristic
1612C42C23×D7111yescharacteristic
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—41no—
1617C23—41no—
1618C23—41no—
1619C23—2841no—
1620C23—2841no—
1621C23—2841no—
1622C23—711no—
1623C23—711no—
1624C23—711no—
1625C23—711no—
1626C23—1422no—
1627C23—1422no—
1628C23—1422no—
1629C23C22×C4×D7111yescharacteristic
1630C23C22×C4×D7111yescharacteristic
1631C23C22×C4×D7111yescharacteristic
1632C23C22×C4×D7111yescharacteristic
1633C23C22×C4×D7111yescharacteristic
1634Q8—2841no—
1635Q8—2841no—
1636Q8—2841no—
1637Q8—1422no—
1638D4—22no—
1639D4—22no—
1640D4—41no—
1641D4—41no—
1642D4—2841no—
1643D4—2841no—
1644D4—2841no—
1645D4—2841no—
1646D4—2841no—
1647D4—2841no—
1648D4—2841no—
1649D4—2841no—
1650D4—2841no—
1651D4—714no—
1652D4—1422no—
1653D4—1422no—
1654D4—1422no—
1655D4—1422no—
1656D4—1422no—
1657D4—1422no—
1658D4—1422no—
1659D4—1422no—
1660D4—1422no—
1661D4—1422no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—2841no—
1681C2×C4—2841no—
1682C2×C4—2841no—
1683C2×C4—2841no—
1684C2×C4—2841no—
1685C2×C4—2841no—
1686C2×C4—2841no—
1687C2×C4—2841no—
1688C2×C4—2841no—
1689C2×C4—711no—
1690C2×C4—711no—
1691C2×C4—711no—
1692C2×C4—711no—
1693C2×C4—711no—
1694C2×C4—711no—
1695C2×C4—711no—
1696C2×C4—711no—
1697C2×C4—711no—
1698C2×C4—711no—
1699C2×C4—711no—
1700C2×C4—711no—
1701C2×C4—1422no—
1702C2×C4—1422no—
1703C2×C4—1422no—
1704C2×C4—1422no—
1705C2×C4—1422no—
1706C2×C4—1421no—
1707C2×C4—1421no—
1708C2×C4—1421no—
1709C2×C4—1421no—
1710C2×C4—1421no—
1711C2×C4—1421no—
1712C2×C4—1421no—
1713C2×C4—1421no—
1714C2×C4C22×C4×D7111yescharacteristic
1715C2×C4C22×C4×D7111yescharacteristic
1716C2×C4C22×C4×D7111yescharacteristic
1717C2×C4C22×C4×D7111yescharacteristic
1718C2×C4C22×C4×D7111yescharacteristic
1719C2×C4C22×C4×D7111yescharacteristic
1720C2×C4C22×C4×D7111yescharacteristic
1721C2×C4C22×C4×D7111yescharacteristic
1722C2×C4C22×C4×D7111yescharacteristic
1723C2×C4C24×D7111yescharacteristic
1724C8—21no—
1725C8—21no—
1726C8—21no—
1727C8—21no—
1728C8—21no—
1729C8—21no—
1730C8—21no—
1731C8—21no—
1732C8—712no—
1733C8—1421no—
1734C8—1421no—
1735C8—1421no—
1736C8—1421no—
1737C8—1421no—
1738C8—1421no—
1739C8—1421no—
1740C22—21no—
1741C22—21no—
1742C22—21no—
1743C22—21no—
1744C22—21no—
1745C22—21no—
1746C22—21no—
1747C22—21no—
1748C22—21no—
1749C22—21no—
1750C22—21no—
1751C22—21no—
1752C22—21no—
1753C22—44no—
1754C22—82no—
1755C22—2844no—
1756C22—5682no—
1757C22—712no—
1758C22—1421no—
1759C22—1421no—
1760C22—1421no—
1761C22—1421no—
1762C22—1421no—
1763C22—1421no—
1764C22—1421no—
1765C22—1421no—
1766C22—1421no—
1767C22—1421no—
1768C22—1421no—
1769C22#131×D7112yes—
1770C22#1798676512yes—
1771C22C23×C4×D7111yescharacteristic
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—21no—
1777C4—21no—
1778C4—21no—
1779C4—21no—
1780C4—21no—
1781C4—712no—
1782C4—1421no—
1783C4—1421no—
1784C4—1421no—
1785C4—1421no—
1786C4—1421no—
1787C4—1421no—
1788C4—1421no—
1789C4—1421no—
1790C4—1421no—
1791C4—1421no—
1792C4—1421no—
1793C4H(5,𝔽2)×D7111yescharacteristic
1794C4#1798683411yescharacteristic
1795C2—22no—
1796C2—22no—
1797C2—41no—
1798C2—41no—
1799C2—41no—
1800C2—2841no—
1801C2—2841no—
1802C2—2841no—
1803C2—1422no—
1804C2#2260154411yescharacteristic
1805C2C2×#131×D7111yescharacteristic
1806C2C2×#1798676511yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D71
commutator, socleC22×C71C24×C4
FittingC71×#2974C2
prime radical#22601944C2
cosocleC2×C4×C71C25
hypercenter#2974D71
hypocenterC71#60311
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C2×C4 ◁ #2974

Complements

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

NH ≅ G/Ntype
2. #22597497C2semidirect
3. #22597486C2semidirect
4. #22597481C2semidirect
5. #22597475C2semidirect
6. #22597460C2semidirect
7. #22597448C2semidirect
8. #22597412C2semidirect
9. #22597394C2semidirect
10. #22597393C2semidirect
11. #22597390C2semidirect
12. #22597384C2semidirect
13. #22597376C2semidirect
14. #22597370C2semidirect
15. #22597362C2semidirect
16. #22597349C2semidirect
17. #22597339C2semidirect
18. #22597331C2semidirect
19. #22597329C2semidirect
20. #22597308C2semidirect
21. #22597300C2semidirect
22. #22597081C2semidirect
23. #22597072C2semidirect
24. #22597069C2semidirect
25. #22597061C2semidirect
26. #22597030C2semidirect
27. #22597029C2semidirect
28. C2×#17986071C2semidirect
29. #435×D71C2semidirect
30. C2×(C22⋊D71)⋊C8C2semidirect
31. C71×#2974C2semidirect
32. C2×#14556136C22semidirect
33. C2×#14556134C22semidirect
34. C22×#11765849C22semidirect
35. C2×M16×D71C22semidirect
36. C23×C71⋊C8C22semidirect
37. C22×C8×D71C22semidirect
68. #17986128C22semidirect
69. #17986128C22semidirect
70. #17986128C22semidirect
71. #17986128C22semidirect
72. #17986127C22semidirect
73. #17986127C22semidirect
74. C8×Dic142C22semidirect
75. C8×Dic142C22semidirect
76. #17986075C22semidirect
77. #17986075C22semidirect
78. #17986075C22semidirect
79. #17986075C22semidirect
80. #17986074C22semidirect
81. #17986074C22semidirect
82. #17986074C22semidirect
83. #17986074C22semidirect
84. #17986073C22semidirect
85. #17986073C22semidirect
86. #17986073C22semidirect
87. #17986073C22semidirect
88. #17986072C22semidirect
89. #17986072C22semidirect
92. #17986071C22semidirect
93. #17986071C22semidirect
94. #17986071C22semidirect
95. #17986071C22semidirect
96. #17986071C22semidirect
97. #17986071C22semidirect
98. #17986070C22semidirect
99. #17986070C22semidirect
100. #17986069C22semidirect
101. #17986069C22semidirect
102. #17986069C22semidirect
103. #17986069C22semidirect
104. #17986068C22semidirect
105. #17986068C22semidirect
106. #17986068C22semidirect
107. #17986068C22semidirect
108. #17986067C22semidirect
109. #17986067C22semidirect
110. #17986067C22semidirect
111. #17986067C22semidirect
112. #17986067C22semidirect
113. #17986067C22semidirect
114. #17986067C22semidirect
115. #17986067C22semidirect
116. C8×D284C22semidirect
117. C8×D284C22semidirect
118. C8×C22⋊D71C22semidirect
119. C8×C22⋊D71C22semidirect
120. C8×C22⋊D71C22semidirect
121. C8×C22⋊D71C22semidirect
122. C8×C22⋊D71C22semidirect
123. C8×C22⋊D71C22semidirect
128. (C22⋊D71)⋊C8C22semidirect
129. (C22⋊D71)⋊C8C22semidirect
130. (C22⋊D71)⋊C8C22semidirect
131. (C22⋊D71)⋊C8C22semidirect
132. (C22⋊D71)⋊C8C22semidirect
133. (C22⋊D71)⋊C8C22semidirect
134. (C22⋊D71)⋊C8C22semidirect
135. (C22⋊D71)⋊C8C22semidirect
136. (C22⋊D71)⋊C8C22semidirect
137. (C22⋊D71)⋊C8C22semidirect
138. (C22⋊D71)⋊C8C22semidirect
139. (C22⋊D71)⋊C8C22semidirect
140. #17986059C22semidirect
141. #17986059C22semidirect
142. #17986058C22semidirect
143. #17986058C22semidirect
144. #17986057C22semidirect
145. #17986057C22semidirect
146. #17986057C22semidirect
147. #17986057C22semidirect
148. #17986054C22semidirect
149. #17986054C22semidirect
150. #17986053C22semidirect
151. #17986051C22semidirect
152. #17986051C22semidirect
153. #17986049C22semidirect
154. #17986049C22semidirect
155. #17986049C22semidirect
156. #17986027C22semidirect
157. #17986025C22semidirect
158. #17986024C22semidirect
159. #17986024C22semidirect
160. #17986022C22semidirect
161. C2×C4⋊(C71⋊C8)C22semidirect
162. C2×Dic71⋊C8C22semidirect
163. C4⋊C8×D71C22semidirect
164. C4⋊C8×D71C22semidirect
165. #17985967C22semidirect
166. #17985965C22semidirect
167. #17985964C22semidirect
168. #17985964C22semidirect
169. #17985964C22semidirect
170. #17985964C22semidirect
171. #17985962C22semidirect
172. #17985961C22semidirect
173. C2×C22⋊(C71⋊C8)C22semidirect
174. C2×C22⋊(C71⋊C8)C22semidirect
175. C2×(C2×D71)⋊C8C22semidirect
176. C22⋊C8×D71C22semidirect
177. C22⋊C8×D71C22semidirect
178. C22⋊C8×D71C22semidirect
179. #17985957C22semidirect
180. #17985954C22semidirect
181. #17985953C22semidirect
182. #17985953C22semidirect
183. #17985951C22semidirect
184. M16×Dic71C22semidirect
185. C2×#14556039C22semidirect
186. #97×D71C22semidirect
187. C2×C8×Dic71C22semidirect
189. #436×C71C22semidirect
190. #436×C71C22semidirect
193. #435×C71C22semidirect
194. #435×C71C22semidirect
195. C8×D4×C71C22semidirect
196. C8×D4×C71C22semidirect
197. #432×C71C22semidirect
198. #431×C71C22semidirect
199. #407×C71C22semidirect
200. #407×C71C22semidirect
201. C2×C22⋊C8×C71C22semidirect
202. C2×C22⋊C8×C71C22semidirect
777. C22⋊D71#131semidirect
918. #2974D71semidirect
935. C71#60311semidirect
989. #436C2×D71semidirect
990. #436C2×D71semidirect
1025. #435C2×D71semidirect
1026. #435C2×D71semidirect
1051. C8×D4C2×D71semidirect
1052. C8×D4C2×D71semidirect
1064. #432C2×D71semidirect
1070. #431C2×D71semidirect
1088. #407C2×D71semidirect
1089. #407C2×D71semidirect
1096. C2×C22⋊C8C2×D71semidirect
1097. C2×C22⋊C8C2×D71semidirect

Maximal subgroups

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

subgroupindex
#226019442
#225974972
#225974862
#225974812
#225974752
#225974602
#225974482
#225974122
#225973942
#225973932
#225973902
#225973842
#225973762
#225973702
#225973622
#225973492
#225973392
#225973312
#225973292
#225973082
#225973002
#225970812
#225970722
#225970692
#225970612
#225970302
#225970292
C2×#179860712
#435×D712
C2×(C22⋊D71)⋊C82
C71×#29742
#6031171