Finite Group Databasebeta

← #2461×D71 #32165303

Subgroups — #2461×D71 #32165303

Order 18176.

3786 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#124×D71C211yesmaximal, characteristic, complemented
2C2×#123×D71C211yesmaximal, characteristic, complemented
3C2×C22⋊Q8×D71C211yesmaximal, characteristic, complemented
4C2×C4×D4×D71C211yesmaximal, characteristic, complemented
5#22592314C211yesmaximal, characteristic, complemented
6#22592313C211yesmaximal, characteristic, complemented
7#22592312C211yesmaximal, characteristic, complemented
8#22592311C211yesmaximal, characteristic, complemented
9#22592310C211yesmaximal, characteristic, complemented
10#22592309C211yesmaximal, characteristic, complemented
11#22592308C211yesmaximal, characteristic, complemented
12#22592307C211yesmaximal, characteristic, complemented
13#22592306C211yesmaximal, characteristic, complemented
14#22592305C211yesmaximal, characteristic, complemented
15#22592304C211yesmaximal, characteristic, complemented
16#22592303C211yesmaximal, characteristic, complemented
17#22592302C211yesmaximal, characteristic, complemented
18#22592301C211yesmaximal, characteristic, complemented
19#22592300C211yesmaximal, characteristic, complemented
20#396×D71C211yesmaximal, characteristic, complemented
21#395×D71C211yesmaximal, characteristic, complemented
22#394×D71C211yesmaximal, characteristic, complemented
23#392×D71C211yesmaximal, characteristic
24#390×D71C211yesmaximal, characteristic, complemented
25#388×D71C211yesmaximal, characteristic, complemented
26#388×D71C211yesmaximal, characteristic, complemented
27#388×D71C211yesmaximal, characteristic, complemented
28#386×D71C211yesmaximal, characteristic, complemented
29#385×D71C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D71C211yesmaximal, characteristic, complemented
31C71×#2461C211yesmaximal, characteristic, complemented
32C22×Q8×D71C2211yescharacteristic
33C22×D4×D71C2211yescharacteristic
34C22×D4×D71C2211yescharacteristic
35C22×D4×D71C2211yescharacteristic
36C23×C4×D71C2211yescharacteristic
37C23×C4×D71C2211yescharacteristic
38C2×#14556117C2211yescharacteristic, complemented
39C2×#14556116C2211yescharacteristic, complemented
40C2×#14556115C2211yescharacteristic, complemented
41C2×#14556114C2211yescharacteristic, complemented
42C2×#14556114C2211yescharacteristic, complemented
43C2×#14556114C2211yescharacteristic, complemented
44C2×#14556114C2211yescharacteristic, complemented
45#124×D71—28no—
46C2×#14556113C2211yescharacteristic, complemented
47C2×#14556113C2211yescharacteristic, complemented
48C2×#14556112C2211yescharacteristic, complemented
49C2×#14556111C2211yescharacteristic, complemented
50C2×#14556110C2211yescharacteristic, complemented
51C2×#14556110C2211yescharacteristic, complemented
52C2×#14556109C2211yescharacteristic, complemented
53#123×D71—28no—
54C2×#14556108C2211yescharacteristic, complemented
55C2×#14556107C2211yescharacteristic, complemented
56C2×#14556106C2211yescharacteristic, complemented
57C2×#14556106C2211yescharacteristic, complemented
58C2×#14556105C2211yescharacteristic, complemented
59C2×#14556105C2211yescharacteristic, complemented
60C2×#14556104C2211yescharacteristic, complemented
61C22⋊Q8×D71—28no—
62C2×C4×D284C2211yescharacteristic, complemented
63C2×D4×Dic71C2211yescharacteristic, complemented
64C2×#14556090C2211yescharacteristic, complemented
65C2×C4×C22⋊D71C2211yescharacteristic, complemented
66C2×C4×C22⋊D71C2211yescharacteristic, complemented
67C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
68C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
69C4×D4×D71—28no—
70C2×C4⋊C4×D71C2211yescharacteristic
71C2×C4⋊C4×D71C2211yescharacteristic
72C2×C4⋊C4×D71C2211yescharacteristic
73C2×C4⋊C4×D71C2211yescharacteristic
74C2×C4⋊C4×D71C2211yescharacteristic
75C2×C4⋊C4×D71C2211yescharacteristic
76C2×C4⋊C4×D71C2211yescharacteristic
77C2×C22⋊C4×D71C2211yescharacteristic
78C2×C22⋊C4×D71C2211yescharacteristic
79C2×C22⋊C4×D71C2211yescharacteristic
80C2×C22⋊C4×D71C2211yescharacteristic
81C2×C22⋊C4×D71C2211yescharacteristic
82C2×C22⋊C4×D71C2211yescharacteristic
83C2×C22⋊C4×D71C2211yescharacteristic
84C2×C22⋊C4×D71C2211yescharacteristic
85C2×C22⋊C4×D71C2211yescharacteristic
86C2×C22⋊C4×D71C2211yescharacteristic
87C2×C22⋊C4×D71C2211yescharacteristic
88C2×C22⋊C4×D71C2211yescharacteristic
89C2×C22⋊C4×D71C2211yescharacteristic
90C2×C42×D71C2211yescharacteristic
91C2×C42×D71C2211yescharacteristic
92C2×C42×D71C2211yescharacteristic
93#17985923C2211yescharacteristic, complemented
94#17985922C2211yescharacteristic, complemented
95#17985922C2211yescharacteristic, complemented
96#17985922C2211yescharacteristic, complemented
97#17985921C2211yescharacteristic, complemented
98#17985921C2211yescharacteristic, complemented
99#17985921C2211yescharacteristic, complemented
100#17985920C2211yescharacteristic, complemented
101#17985920C2211yescharacteristic, complemented
102#17985920C2211yescharacteristic, complemented
103#17985919C2211yescharacteristic, complemented
104#17985919C2211yescharacteristic, complemented
105#17985919C2211yescharacteristic, complemented
106#17985918C2211yescharacteristic, complemented
107#17985917C2211yescharacteristic, complemented
108#17985916C2211yescharacteristic, complemented
109#17985915C2211yescharacteristic, complemented
110#17985915C2211yescharacteristic, complemented
111#17985914C2211yescharacteristic, complemented
112#17985914C2211yescharacteristic, complemented
113#17985913C2211yescharacteristic, complemented
114#17985909C2211yescharacteristic
115#17985908C2211yescharacteristic
116#17985908C2211yescharacteristic
117#17985908C2211yescharacteristic
118#17985907C2211yescharacteristic
119#17985907C2211yescharacteristic
120#17985907C2211yescharacteristic
121#17985902C2211yescharacteristic, complemented
122#17985901C2211yescharacteristic, complemented
123#17985900C2211yescharacteristic, complemented
124#17985899C2211yescharacteristic, complemented
125#17985899C2211yescharacteristic, complemented
126#17985899C2211yescharacteristic, complemented
127#17985899C2211yescharacteristic, complemented
128#17985893C2211yescharacteristic, complemented
129#17985893C2211yescharacteristic, complemented
130#17985893C2211yescharacteristic, complemented
131#17985892C2211yescharacteristic, complemented
132#17985892C2211yescharacteristic, complemented
133#17985892C2211yescharacteristic, complemented
134#17985891C2211yescharacteristic, complemented
135#17985891C2211yescharacteristic, complemented
136#17985891C2211yescharacteristic, complemented
137#17985890C2211yescharacteristic, complemented
138#17985890C2211yescharacteristic, complemented
139#17985890C2211yescharacteristic, complemented
140#17985889C2211yescharacteristic, complemented
141#17985889C2211yescharacteristic, complemented
142#17985889C2211yescharacteristic, complemented
143#17985888C2211yescharacteristic, complemented
144#17985888C2211yescharacteristic, complemented
145#17985888C2211yescharacteristic, complemented
146#17985887C2211yescharacteristic, complemented
147#17985887C2211yescharacteristic, complemented
148#17985887C2211yescharacteristic, complemented
149#17985879C2211yescharacteristic, complemented
150#17985878C2211yescharacteristic, complemented
151#17985877C2211yescharacteristic, complemented
152#17985877C2211yescharacteristic, complemented
153#17985876C2211yescharacteristic, complemented
154#17985875C2211yescharacteristic, complemented
155#17985875C2211yescharacteristic, complemented
156#17985874C2211yescharacteristic, complemented
157#17985873C2211yescharacteristic, complemented
158#17985873C2211yescharacteristic, complemented
159#17985872C2211yescharacteristic, complemented
160#17985871C2211yescharacteristic, complemented
161#17985870C2211yescharacteristic, complemented
162#17985870C2211yescharacteristic, complemented
163C4⋊C4×Dic71C2211yescharacteristic, complemented
164C4⋊C4×Dic71C2211yescharacteristic, complemented
165C4×Dic71⋊C4C2211yescharacteristic, complemented
166C4×Dic71⋊C4C2211yescharacteristic, complemented
167C4×C4⋊Dic71C2211yescharacteristic, complemented
168#17985850C2211yescharacteristic, complemented
169#17985850C2211yescharacteristic, complemented
170#95×D71C2211yescharacteristic
171#95×D71C2211yescharacteristic
172#95×D71C2211yescharacteristic
173#95×D71C2211yescharacteristic
174#95×D71C2211yescharacteristic
175#95×D71C2211yescharacteristic
176C2×#124×C71C2211yescharacteristic, complemented
177C2×#123×C71C2211yescharacteristic, complemented
178C2×C22⋊Q8×C71C2211yescharacteristic, complemented
179C2×C4×D4×C71C2211yescharacteristic, complemented
180#396×C71C2211yescharacteristic, complemented
181#395×C71C2211yescharacteristic, complemented
182#394×C71C2211yescharacteristic, complemented
183#392×C71C2211yescharacteristic
184#390×C71C2211yescharacteristic, complemented
185#388×C71C2211yescharacteristic, complemented
186#388×C71C2211yescharacteristic, complemented
187#388×C71C2211yescharacteristic, complemented
188#386×C71C2211yescharacteristic, complemented
189#385×C71C2211yescharacteristic, complemented
190C4×C4⋊C4×C71C2211yescharacteristic, complemented
191C24×D71C2311yescharacteristic
192C24×D71C2311yescharacteristic
193C24×D71C2311yescharacteristic
194C22×Dic142C2311yescharacteristic
195C22×Dic142C2311yescharacteristic
196C22×Dic142C2311yescharacteristic
197C2×Q8×D71—24no—
198C2×Q8×D71—24no—
199C2×Q8×D71—42no—
200C22×D284C2311yescharacteristic
201C22×D284C2311yescharacteristic
202C22×D284C2311yescharacteristic
203C22×C22⋊D71C2311yescharacteristic
204C22×C22⋊D71C2311yescharacteristic
205C22×C22⋊D71C2311yescharacteristic
206C22×C22⋊D71C2311yescharacteristic
207C22×C22⋊D71C2311yescharacteristic
208C22×C22⋊D71C2311yescharacteristic
209C2×D4×D71—24no—
210C2×D4×D71—24no—
211C2×D4×D71—24no—
212C2×D4×D71—24no—
213C2×D4×D71—24no—
214C2×D4×D71—24no—
215C2×D4×D71—24no—
216C2×D4×D71—42no—
217C2×D4×D71—42no—
218C23×Dic71C2311yescharacteristic
219C23×Dic71C2311yescharacteristic
220C22×C4×D71—24no—
221C22×C4×D71—24no—
222C22×C4×D71—24no—
223C22×C4×D71—24no—
224C22×C4×D71—42no—
225C22×C4×D71—42no—
226C22×C4×D71C2311yescharacteristic
227C22×C4×D71C2311yescharacteristic
228C22×C4×D71C2311yescharacteristic
229C22×C4×D71C2311yescharacteristic
230C22×C4×D71C2311yescharacteristic
231C22×C4×D71C2311yescharacteristic
232C22×C4×D71C2311yescharacteristic
233C22×C4×D71C2311yescharacteristic
234C22×C4×D71C2311yescharacteristic
235C22×C4×D71C2311yescharacteristic
236C22×C4×D71C2311yescharacteristic
237C22×C4×D71C2311yescharacteristic
238C22×C4×D71C2311yescharacteristic
239C22×C4×D71C2311yescharacteristic
240C22×C4×D71C2311yescharacteristic
241C22×C4×D71C2311yescharacteristic
242#14556117—24no—
243#14556116—24no—
244#14556115—24no—
245#14556114—24no—
246#14556114—24no—
247#14556114—24no—
248#14556114—24no—
249#14556113—24no—
250#14556113—24no—
251#14556112—24no—
252#14556111—24no—
253#14556110—24no—
254#14556110—24no—
255#14556109—24no—
256#14556108—24no—
257#14556107—24no—
258#14556106—24no—
259#14556106—24no—
260#14556105—24no—
261#14556105—24no—
262#14556104—24no—
263C4×D284—24no—
264D4×Dic71—24no—
265#14556090—24no—
266C4×C22⋊D71—24no—
267C4×C22⋊D71—24no—
268(C22⋊D71)⋊C4—24no—
269(C22⋊D71)⋊C4—24no—
270C2×C4⋊Dic71C2311yescharacteristic
271C2×C4⋊Dic71C2311yescharacteristic
272C2×C4⋊Dic71C2311yescharacteristic
273C2×C4⋊Dic71C2311yescharacteristic
274C2×C4⋊Dic71C2311yescharacteristic
275C2×C4⋊Dic71C2311yescharacteristic
276C2×C4⋊Dic71C2311yescharacteristic
277C2×Dic71⋊C4C2311yescharacteristic
278C2×Dic71⋊C4C2311yescharacteristic
279C2×Dic71⋊C4C2311yescharacteristic
280C2×Dic71⋊C4C2311yescharacteristic
281C2×Dic71⋊C4C2311yescharacteristic
282C2×Dic71⋊C4C2311yescharacteristic
283C2×Dic71⋊C4C2311yescharacteristic
284C2×Dic71⋊C4C2311yescharacteristic
285C2×Dic71⋊C4C2311yescharacteristic
286C2×Dic71⋊C4C2311yescharacteristic
287C2×Dic71⋊C4C2311yescharacteristic
288C2×Dic71⋊C4C2311yescharacteristic
289C2×Dic71⋊C4C2311yescharacteristic
290C2×Dic71⋊C4C2311yescharacteristic
291C4⋊C4×D71—24no—
292C4⋊C4×D71—24no—
293C4⋊C4×D71—24no—
294C4⋊C4×D71—24no—
295C4⋊C4×D71—24no—
296C4⋊C4×D71—42no—
297C4⋊C4×D71D418yescomplemented
298C2×C22⋊Dic71C2311yescharacteristic
299C2×C22⋊Dic71C2311yescharacteristic
300C2×C22⋊Dic71C2311yescharacteristic
301C2×C22⋊Dic71C2311yescharacteristic
302C2×C22⋊Dic71C2311yescharacteristic
303C2×C22⋊Dic71C2311yescharacteristic
304C2×C22⋊Dic71C2311yescharacteristic
305C2×C22⋊Dic71C2311yescharacteristic
306C2×C22⋊Dic71C2311yescharacteristic
307C2×C22⋊Dic71C2311yescharacteristic
308C2×C22⋊Dic71C2311yescharacteristic
309C2×C22⋊Dic71C2311yescharacteristic
310C2×C22⋊Dic71C2311yescharacteristic
311C2×(C2×D71)⋊C4C2311yescharacteristic
312C2×(C2×D71)⋊C4C2311yescharacteristic
313C2×(C2×D71)⋊C4C2311yescharacteristic
314C2×(C2×D71)⋊C4C2311yescharacteristic
315C2×(C2×D71)⋊C4C2311yescharacteristic
316C2×(C2×D71)⋊C4C2311yescharacteristic
317C2×(C2×D71)⋊C4C2311yescharacteristic
318C2×(C2×D71)⋊C4C2311yescharacteristic
319C2×(C2×D71)⋊C4C2311yescharacteristic
320C2×(C2×D71)⋊C4C2311yescharacteristic
321C2×(C2×D71)⋊C4C2311yescharacteristic
322C2×(C2×D71)⋊C4C2311yescharacteristic
323C2×(C2×D71)⋊C4C2311yescharacteristic
324C2×(C2×D71)⋊C4C2311yescharacteristic
325C2×(C2×D71)⋊C4C2311yescharacteristic
326C2×(C2×D71)⋊C4C2311yescharacteristic
327C2×(C2×D71)⋊C4C2311yescharacteristic
328C2×(C2×D71)⋊C4C2311yescharacteristic
329C2×(C2×D71)⋊C4C2311yescharacteristic
330C2×(C2×D71)⋊C4C2311yescharacteristic
331C2×(C2×D71)⋊C4C2311yescharacteristic
332C2×(C2×D71)⋊C4C2311yescharacteristic
333C2×(C2×D71)⋊C4C2311yescharacteristic
334C2×(C2×D71)⋊C4C2311yescharacteristic
335C2×(C2×D71)⋊C4C2311yescharacteristic
336C2×(C2×D71)⋊C4C2311yescharacteristic
337C22⋊C4×D71—24no—
338C22⋊C4×D71—24no—
339C22⋊C4×D71—24no—
340C22⋊C4×D71—24no—
341C22⋊C4×D71—24no—
342C22⋊C4×D71—24no—
343C22⋊C4×D71—24no—
344C22⋊C4×D71—24no—
345C22⋊C4×D71—24no—
346C22⋊C4×D71—24no—
347C22⋊C4×D71—24no—
348C22⋊C4×D71—24no—
349C22⋊C4×D71D418yescomplemented
350C2×C4×Dic71C2311yescharacteristic
351C2×C4×Dic71C2311yescharacteristic
352C2×C4×Dic71C2311yescharacteristic
353C2×C4×Dic71C2311yescharacteristic
354C2×C4×Dic71C2311yescharacteristic
355C2×C4×Dic71C2311yescharacteristic
356C2×C4×Dic71C2311yescharacteristic
357C2×C4×Dic71C2311yescharacteristic
358C2×C4×Dic71C2311yescharacteristic
359C42×D71—24no—
360C42×D71—24no—
361C42×D71—24no—
362C71⋊#95C2311yescharacteristic
363C71⋊#95C2311yescharacteristic
364C71⋊#95C2311yescharacteristic
365C71⋊#95C2311yescharacteristic
366C71⋊#95C2311yescharacteristic
367C71⋊#95C2311yescharacteristic
368C71⋊#95C2311yescharacteristic
369C71⋊#95C2311yescharacteristic
370C71⋊#95C2311yescharacteristic
371C71⋊#95C2311yescharacteristic
372C71⋊#95C2311yescharacteristic
373C71⋊#95C2311yescharacteristic
374C71⋊#95C2311yescharacteristic
375C71⋊#95C2311yescharacteristic
376C71⋊#95C2311yescharacteristic
377C71⋊#95C2311yescharacteristic
378C71⋊#95C2311yescharacteristic
379C71⋊#95C2311yescharacteristic
380C22×Q8×C71C2311yescharacteristic
381C22×D4×C71C2311yescharacteristic
382C22×D4×C71C2311yescharacteristic
383C22×D4×C71C2311yescharacteristic
384C23×C4×C71C2311yescharacteristic
385C23×C4×C71C2311yescharacteristic
386#124×C71—24no—
387#123×C71—24no—
388C22⋊Q8×C71—24no—
389C4×D4×C71—24no—
390C2×C4⋊C4×C71C2311yescharacteristic
391C2×C4⋊C4×C71C2311yescharacteristic
392C2×C4⋊C4×C71C2311yescharacteristic
393C2×C4⋊C4×C71C2311yescharacteristic
394C2×C4⋊C4×C71C2311yescharacteristic
395C2×C4⋊C4×C71C2311yescharacteristic
396C2×C4⋊C4×C71C2311yescharacteristic
397C2×C22⋊C4×C71C2311yescharacteristic
398C2×C22⋊C4×C71C2311yescharacteristic
399C2×C22⋊C4×C71C2311yescharacteristic
400C2×C22⋊C4×C71C2311yescharacteristic
401C2×C22⋊C4×C71C2311yescharacteristic
402C2×C22⋊C4×C71C2311yescharacteristic
403C2×C22⋊C4×C71C2311yescharacteristic
404C2×C22⋊C4×C71C2311yescharacteristic
405C2×C22⋊C4×C71C2311yescharacteristic
406C2×C22⋊C4×C71C2311yescharacteristic
407C2×C22⋊C4×C71C2311yescharacteristic
408C2×C22⋊C4×C71C2311yescharacteristic
409C2×C22⋊C4×C71C2311yescharacteristic
410C2×C42×C71C2311yescharacteristic
411C2×C42×C71C2311yescharacteristic
412C2×C42×C71C2311yescharacteristic
413#95×C71C2311yescharacteristic
414#95×C71C2311yescharacteristic
415#95×C71C2311yescharacteristic
416#95×C71C2311yescharacteristic
417#95×C71C2311yescharacteristic
418#95×C71C2311yescharacteristic
419C23×D71—22no—
420C23×D71—22no—
421C23×D71—22no—
422C23×D71—22no—
423C23×D71—22no—
424C23×D71—22no—
425C23×D71—22no—
426C23×D71—22no—
427C23×D71—22no—
428C23×D71—22no—
429C23×D71—22no—
430C23×D71—22no—
431C23×D71—22no—
432C23×D71—22no—
433C23×D71—22no—
434C23×D71—22no—
435C23×D71—22no—
436C23×D71—22no—
437C23×D71—22no—
438C23×D71C2×D414yes—
439C23×D71#4114yes—
440C23×D71C2411yescharacteristic
441C23×D71C2411yescharacteristic
442C23×D71C2411yescharacteristic
443C23×D71C2411yescharacteristic
444C2×Dic142—22no—
445C2×Dic142—22no—
446C2×Dic142—22no—
447C2×Dic142—22no—
448C2×Dic142—22no—
449C2×Dic142—22no—
450C2×Dic142—41no—
451C2×Dic142—41no—
452C2×Dic142—41no—
453Q8×D71—416no—
454C2×D284—22no—
455C2×D284—22no—
456C2×D284—22no—
457C2×D284—22no—
458C2×D284—22no—
459C2×D284—22no—
460C2×D284—22no—
461C2×D284—41no—
462C2×D284—41no—
463C2×C22⋊D71—22no—
464C2×C22⋊D71—22no—
465C2×C22⋊D71—22no—
466C2×C22⋊D71—22no—
467C2×C22⋊D71—22no—
468C2×C22⋊D71—22no—
469C2×C22⋊D71—22no—
470C2×C22⋊D71—22no—
471C2×C22⋊D71—22no—
472C2×C22⋊D71—22no—
473C2×C22⋊D71—22no—
474C2×C22⋊D71—22no—
475C2×C22⋊D71—22no—
476C2×C22⋊D71—22no—
477C2×C22⋊D71—41no—
478C2×C22⋊D71—41no—
479C2×C22⋊D71—41no—
480C2×C22⋊D71—41no—
481D4×D71—232no—
482D4×D71—416no—
483D4×D71—416no—
484C22×Dic71—22no—
485C22×Dic71—22no—
486C22×Dic71—22no—
487C22×Dic71—22no—
488C22×Dic71—41no—
489C22×Dic71—41no—
490C22×Dic71C2411yescharacteristic
491C22×Dic71C2411yescharacteristic
492C22×Dic71C2411yescharacteristic
493C22×Dic71C2411yescharacteristic
494C22×Dic71C2411yescharacteristic
495C22×Dic71C2411yescharacteristic
496C22×Dic71C2411yescharacteristic
497C22×Dic71C2411yescharacteristic
498C22×Dic71C2411yescharacteristic
499C22×Dic71C2411yescharacteristic
500C22×Dic71C2411yescharacteristic
501C22×Dic71C2411yescharacteristic
502C2×C4×D71—22no—
503C2×C4×D71—22no—
504C2×C4×D71—22no—
505C2×C4×D71—22no—
506C2×C4×D71—22no—
507C2×C4×D71—22no—
508C2×C4×D71—22no—
509C2×C4×D71—22no—
510C2×C4×D71—22no—
511C2×C4×D71—22no—
512C2×C4×D71—22no—
513C2×C4×D71—22no—
514C2×C4×D71—22no—
515C2×C4×D71—22no—
516C2×C4×D71—22no—
517C2×C4×D71—22no—
518C2×C4×D71—22no—
519C2×C4×D71—22no—
520C2×C4×D71—22no—
521C2×C4×D71—22no—
522C2×C4×D71—22no—
523C2×C4×D71—22no—
524C2×C4×D71—22no—
525C2×C4×D71—22no—
526C2×C4×D71—22no—
527C2×C4×D71—22no—
528C2×C4×D71—22no—
529C2×C4×D71—22no—
530C2×C4×D71—22no—
531C2×C4×D71—22no—
532C2×C4×D71—22no—
533C2×C4×D71—22no—
534C2×C4×D71—22no—
535C2×C4×D71—22no—
536C2×C4×D71—22no—
537C2×C4×D71—22no—
538C2×C4×D71—22no—
539C2×C4×D71—416no—
540C2×C4×D71—416no—
541C2×C4×D71—41no—
542C2×C4×D71—41no—
543C2×C4×D71—41no—
544C2×C4×D71—41no—
545C2×C4×D71C2×D414yes—
546C2×C4×D71C2×D414yes—
547C2×C4×D71C2×D414yes—
548C2×C4×D71C2×D414yes—
549C2×C4×D71C2×D414yes—
550C2×C4×D71#4114yes—
551C2×C4×D71#4114yes—
552C4⋊Dic71—22no—
553C4⋊Dic71—22no—
554C4⋊Dic71—22no—
555C4⋊Dic71—22no—
556C4⋊Dic71—22no—
557C4⋊Dic71—41no—
558C4⋊Dic71C2×D414yescomplemented
559Dic71⋊C4—22no—
560Dic71⋊C4—22no—
561Dic71⋊C4—22no—
562Dic71⋊C4—22no—
563Dic71⋊C4—22no—
564Dic71⋊C4—22no—
565Dic71⋊C4—22no—
566Dic71⋊C4—22no—
567Dic71⋊C4—22no—
568Dic71⋊C4—22no—
569Dic71⋊C4—41no—
570Dic71⋊C4—41no—
571Dic71⋊C4C2×D414yescomplemented
572Dic71⋊C4C2×D414yescomplemented
573C22⋊Dic71—22no—
574C22⋊Dic71—22no—
575C22⋊Dic71—22no—
576C22⋊Dic71—22no—
577C22⋊Dic71—22no—
578C22⋊Dic71—22no—
579C22⋊Dic71—22no—
580C22⋊Dic71—22no—
581C22⋊Dic71—22no—
582C22⋊Dic71—22no—
583C22⋊Dic71—22no—
584C22⋊Dic71—22no—
585C22⋊Dic71C2×D414yescomplemented
586(C2×D71)⋊C4—22no—
587(C2×D71)⋊C4—22no—
588(C2×D71)⋊C4—22no—
589(C2×D71)⋊C4—22no—
590(C2×D71)⋊C4—22no—
591(C2×D71)⋊C4—22no—
592(C2×D71)⋊C4—22no—
593(C2×D71)⋊C4—22no—
594(C2×D71)⋊C4—22no—
595(C2×D71)⋊C4—22no—
596(C2×D71)⋊C4—22no—
597(C2×D71)⋊C4—22no—
598(C2×D71)⋊C4—22no—
599(C2×D71)⋊C4—22no—
600(C2×D71)⋊C4—22no—
601(C2×D71)⋊C4—22no—
602(C2×D71)⋊C4—22no—
603(C2×D71)⋊C4—22no—
604(C2×D71)⋊C4—22no—
605(C2×D71)⋊C4—22no—
606(C2×D71)⋊C4—22no—
607(C2×D71)⋊C4—22no—
608(C2×D71)⋊C4—22no—
609(C2×D71)⋊C4—22no—
610(C2×D71)⋊C4C2×D414yescomplemented
611(C2×D71)⋊C4C2×D414yescomplemented
612C4×Dic71—22no—
613C4×Dic71—22no—
614C4×Dic71—22no—
615C4×Dic71—22no—
616C4×Dic71—22no—
617C4×Dic71—22no—
618C4×Dic71—22no—
619C4×Dic71—22no—
620C4×Dic71—22no—
621C24×C71C2411yescharacteristic
622C24×C71C2411yescharacteristic
623C24×C71C2411yescharacteristic
624C2×Q8×C71—22no—
625C2×Q8×C71—22no—
626C2×Q8×C71—41no—
627C2×D4×C71—22no—
628C2×D4×C71—22no—
629C2×D4×C71—22no—
630C2×D4×C71—22no—
631C2×D4×C71—22no—
632C2×D4×C71—22no—
633C2×D4×C71—22no—
634C2×D4×C71—41no—
635C2×D4×C71—41no—
636C22×C4×C71—22no—
637C22×C4×C71—22no—
638C22×C4×C71—22no—
639C22×C4×C71—22no—
640C22×C4×C71—41no—
641C22×C4×C71—41no—
642C22×C4×C71C2411yescharacteristic
643C22×C4×C71C2411yescharacteristic
644C22×C4×C71C2411yescharacteristic
645C22×C4×C71C2411yescharacteristic
646C22×C4×C71C2411yescharacteristic
647C22×C4×C71C2411yescharacteristic
648C22×C4×C71C2411yescharacteristic
649C22×C4×C71C2411yescharacteristic
650C22×C4×C71C2411yescharacteristic
651C22×C4×C71C2411yescharacteristic
652C22×C4×C71C2411yescharacteristic
653C22×C4×C71C2411yescharacteristic
654C4⋊C4×C71—22no—
655C4⋊C4×C71—22no—
656C4⋊C4×C71—22no—
657C4⋊C4×C71—22no—
658C4⋊C4×C71—22no—
659C4⋊C4×C71—41no—
660C4⋊C4×C71C2×D414yescomplemented
661C22⋊C4×C71—22no—
662C22⋊C4×C71—22no—
663C22⋊C4×C71—22no—
664C22⋊C4×C71—22no—
665C22⋊C4×C71—22no—
666C22⋊C4×C71—22no—
667C22⋊C4×C71—22no—
668C22⋊C4×C71—22no—
669C22⋊C4×C71—22no—
670C22⋊C4×C71—22no—
671C22⋊C4×C71—22no—
672C22⋊C4×C71—22no—
673C22⋊C4×C71C2×D414yescomplemented
674C42×C71—22no—
675C42×C71—22no—
676C42×C71—22no—
677C23×C71—21no—
678C23×C71—21no—
679C23×C71—21no—
680C23×C71—21no—
681C23×C71—21no—
682C23×C71—21no—
683C23×C71—21no—
684C23×C71—21no—
685C23×C71—21no—
686C23×C71—21no—
687C23×C71—21no—
688C23×C71—21no—
689C23×C71—21no—
690C23×C71—21no—
691C23×C71—21no—
692C23×C71—21no—
693C23×C71—21no—
694C23×C71—21no—
695C23×C71—21no—
696C23×C71C22×D412yes—
697C23×C71C2×#4112yes—
698C23×C71C2511yescharacteristic
699C22×D71—21no—
700C22×D71—21no—
701C22×D71—21no—
702C22×D71—21no—
703C22×D71—21no—
704C22×D71—21no—
705C22×D71—21no—
706C22×D71—21no—
707C22×D71—21no—
708C22×D71—21no—
709C22×D71—21no—
710C22×D71—21no—
711C22×D71—28no—
712C22×D71—28no—
713C22×D71—28no—
714C22×D71—28no—
715C22×D71—28no—
716C22×D71—28no—
717C22×D71—21no—
718C22×D71—21no—
719C22×D71—21no—
720C22×D71—21no—
721C22×D71—21no—
722C22×D71—21no—
723C22×D71—21no—
724C22×D71—44no—
725C22×D71—44no—
726C22×D71—44no—
727C22×D71—44no—
728C22×D71—44no—
729C22×D71—44no—
730C22×D71—44no—
731C22×D71—44no—
732C22×D71—44no—
733C22×D71—44no—
734C22×D71—44no—
735C22×D71—44no—
736C22×D71—44no—
737C22×D71—44no—
738C22×D71—44no—
739C22×D71C22×D412yes—
740C22×D71C22×D412yes—
741C22×D71C22×D412yes—
742C22×D71C2×#4112yes—
743C22×D71C2×#4112yes—
744C22×D71C2×#4112yes—
745C22×D71C2×#4112yes—
746C22×D71H(5,𝔽2)12yes—
747C22×D712−1+412yes—
748Q8×C71—44no—
749D4×C71—28no—
750D4×C71—44no—
751D4×C71—44no—
752C2×C4×C71—21no—
753C2×C4×C71—21no—
754C2×C4×C71—21no—
755C2×C4×C71—21no—
756C2×C4×C71—21no—
757C2×C4×C71—21no—
758C2×C4×C71—21no—
759C2×C4×C71—21no—
760C2×C4×C71—21no—
761C2×C4×C71—21no—
762C2×C4×C71—21no—
763C2×C4×C71—21no—
764C2×C4×C71—21no—
765C2×C4×C71—21no—
766C2×C4×C71—21no—
767C2×C4×C71—21no—
768C2×C4×C71—21no—
769C2×C4×C71—21no—
770C2×C4×C71—21no—
771C2×C4×C71—21no—
772C2×C4×C71—21no—
773C2×C4×C71—21no—
774C2×C4×C71—21no—
775C2×C4×C71—21no—
776C2×C4×C71—21no—
777C2×C4×C71—21no—
778C2×C4×C71—21no—
779C2×C4×C71—21no—
780C2×C4×C71—21no—
781C2×C4×C71—44no—
782C2×C4×C71—44no—
783C2×C4×C71C22×D412yes—
784C2×C4×C71C22×D412yes—
785C2×C4×C71C22×D412yes—
786C2×C4×C71C22×D412yes—
787C2×C4×C71C22×D412yes—
788C2×C4×C71C2×#4112yes—
789C2×C4×C71C2×#4112yes—
790C22⋊D71—28no—
791C22⋊D71—28no—
792C22⋊D71—44no—
793C22⋊D71—44no—
794C22⋊D71—44no—
795C22⋊D71—44no—
796C2×Dic71—21no—
797C2×Dic71—21no—
798C2×Dic71—21no—
799C2×Dic71—21no—
800C2×Dic71—21no—
801C2×Dic71—21no—
802C2×Dic71—21no—
803C2×Dic71—21no—
804C2×Dic71—21no—
805C2×Dic71—21no—
806C2×Dic71—21no—
807C2×Dic71—21no—
808C2×Dic71—21no—
809C2×Dic71—21no—
810C2×Dic71—21no—
811C2×Dic71—21no—
812C2×Dic71—21no—
813C2×Dic71—21no—
814C2×Dic71—21no—
815C2×Dic71—21no—
816C2×Dic71—21no—
817C2×Dic71—21no—
818C2×Dic71—21no—
819C2×Dic71—21no—
820C2×Dic71—21no—
821C2×Dic71—21no—
822C2×Dic71—21no—
823C2×Dic71—21no—
824C2×Dic71—21no—
825C2×Dic71—44no—
826C2×Dic71—44no—
827C2×Dic71C22×D412yes—
828C2×Dic71C22×D412yes—
829C2×Dic71C22×D412yes—
830C2×Dic71C22×D412yes—
831C2×Dic71C22×D412yes—
832C2×Dic71C2×#4112yes—
833C2×Dic71C2×#4112yes—
834D284—28no—
835D284—44no—
836D284—44no—
837C4×D71—28no—
838C4×D71—28no—
839C4×D71—28no—
840C4×D71—28no—
841C4×D71—28no—
842C4×D71—28no—
843C4×D71—28no—
844C4×D71—44no—
845C4×D71—44no—
846C4×D71—44no—
847C4×D71—44no—
848C4×D71—44no—
849C4×D71—44no—
850C4×D71—44no—
851C4×D71—44no—
852C4×D71—44no—
853Dic142—44no—
854Dic142—44no—
855Dic142—44no—
856C22×C71—22no—
857C22×C71—22no—
858C22×C71—22no—
859C22×C71—22no—
860C22×C71—22no—
861C22×C71—22no—
862C22×C71—41no—
863C22×C71—41no—
864C22×C71—41no—
865C22×C71—41no—
866C22×C71—41no—
867C22×C71—41no—
868C22×C71—41no—
869C22×C71—41no—
870C22×C71—41no—
871C22×C71—41no—
872C22×C71—41no—
873C22×C71—41no—
874C22×C71—41no—
875C22×C71—41no—
876C22×C71—41no—
877C22×C71C23×D411yescharacteristic
878C22×C71C23×D411yescharacteristic
879C22×C71C22×#4111yescharacteristic
880C22×C71C22×#4111yescharacteristic
881C22×C71C22×#4111yescharacteristic
882C22×C71C2×H(5,𝔽2)11yescharacteristic
883C22×C71C2×2−1+411yescharacteristic
884C2×D71—22no—
885C2×D71—22no—
886C2×D71—22no—
887C2×D71—22no—
888C2×D71—22no—
889C2×D71—22no—
890C2×D71—41no—
891C2×D71—41no—
892C2×D71—41no—
893C2×D71—41no—
894C2×D71—41no—
895C2×D71—41no—
896C2×D71—41no—
897C2×D71—41no—
898C2×D71—416no—
899C2×D71—416no—
900C2×D71—41no—
901C2×D71—41no—
902C2×D71—41no—
903C2×D71—41no—
904C2×D71—41no—
905C2×D71—41no—
906C2×D71—41no—
907C2×D71—88no—
908C2×D71#52514yes—
909C2×D71#53214yes—
910C2×D71#54214yes—
911C2×D71D4214yes—
912C2×D71#54714yes—
913C2×D71#54814yes—
914C2×D71#55114yes—
915C4×C71—22no—
916C4×C71—22no—
917C4×C71—22no—
918C4×C71—22no—
919C4×C71—22no—
920C4×C71—22no—
921C4×C71—22no—
922C4×C71—41no—
923C4×C71—41no—
924C4×C71—41no—
925C4×C71—41no—
926C4×C71—41no—
927Dic71—22no—
928Dic71—22no—
929Dic71—22no—
930Dic71—22no—
931Dic71—22no—
932Dic71—22no—
933Dic71—22no—
934Dic71—41no—
935Dic71—41no—
936Dic71—41no—
937Dic71—41no—
938Dic71—41no—
939C2×#2461—711nomaximal, Sylow
940C2×C71—42no—
941C2×C71—42no—
942C2×C71—81no—
943C2×C71C2×#52511yescharacteristic
944C2×C71C2×#53211yescharacteristic
945C2×C71C2×#54211yescharacteristic
946C2×C71C2×D4211yescharacteristic
947C2×C71C2×#54711yescharacteristic
948C2×C71C2×#54811yescharacteristic
949C2×C71C2×#55111yescharacteristic
950D71—42no—
951D71—42no—
952D71—81no—
953D71#246118yesdirect product factor
954C22×#124—711no—
955C22×#123—711no—
956C22×C22⋊Q8—711no—
957C22×C4×D4—711no—
958#2461—711no—
959#2461—711no—
960#2461—711no—
961#2461—711no—
962#2461—711no—
963#2461—711no—
964#2461—711no—
965#2461—711no—
966#2461—711no—
967#2461—711no—
968#2461—711no—
969#2461—711no—
970#2461—711no—
971#2461—711no—
972#2461—711no—
973#2461D7111yescharacteristic, direct product factor
974C2×#396—711no—
975C2×#395—711no—
976C2×#394—711no—
977C2×#392—711no—
978C2×#390—711no—
979C2×#388—711no—
980C2×#388—711no—
981C2×#388—711no—
982C2×#386—711no—
983C2×#385—711no—
984C2×C4×C4⋊C4—711no—
985C71C2×#246111yescharacteristic, complemented, Sylow
986C23×Q8—711no—
987C23×D4—711no—
988C23×D4—711no—
989C23×D4—711no—
990C24×C4—711no—
991C24×C4—711no—
992C2×#124—711no—
993C2×#124—711no—
994C2×#124—711no—
995C2×#124—711no—
996C2×#124—711no—
997C2×#124—711no—
998C2×#124—711no—
999C2×#124—1428no—
1000C2×#124C2×D7111yescharacteristic, complemented
1001C2×#123—711no—
1002C2×#123—711no—
1003C2×#123—711no—
1004C2×#123—711no—
1005C2×#123—711no—
1006C2×#123—711no—
1007C2×#123—711no—
1008C2×#123—1428no—
1009C2×#123C2×D7111yescharacteristic, complemented
1010C2×C22⋊Q8—711no—
1011C2×C22⋊Q8—711no—
1012C2×C22⋊Q8—711no—
1013C2×C22⋊Q8—711no—
1014C2×C22⋊Q8—711no—
1015C2×C22⋊Q8—711no—
1016C2×C22⋊Q8—711no—
1017C2×C22⋊Q8—1428no—
1018C2×C22⋊Q8C2×D7111yescharacteristic, complemented
1019C2×C4×D4—711no—
1020C2×C4×D4—711no—
1021C2×C4×D4—711no—
1022C2×C4×D4—711no—
1023C2×C4×D4—711no—
1024C2×C4×D4—711no—
1025C2×C4×D4—711no—
1026C2×C4×D4—1428no—
1027C2×C4×D4C2×D7111yescharacteristic, complemented
1028C22×C4⋊C4—711no—
1029C22×C4⋊C4—711no—
1030C22×C4⋊C4—711no—
1031C22×C4⋊C4—711no—
1032C22×C4⋊C4—711no—
1033C22×C4⋊C4—711no—
1034C22×C4⋊C4—711no—
1035C22×C22⋊C4—711no—
1036C22×C22⋊C4—711no—
1037C22×C22⋊C4—711no—
1038C22×C22⋊C4—711no—
1039C22×C22⋊C4—711no—
1040C22×C22⋊C4—711no—
1041C22×C22⋊C4—711no—
1042C22×C22⋊C4—711no—
1043C22×C22⋊C4—711no—
1044C22×C22⋊C4—711no—
1045C22×C22⋊C4—711no—
1046C22×C22⋊C4—711no—
1047C22×C22⋊C4—711no—
1048C22×C42—711no—
1049C22×C42—711no—
1050C22×C42—711no—
1051#396—711no—
1052#396—711no—
1053#396—711no—
1054#396—711no—
1055#396—711no—
1056#396—711no—
1057#396—711no—
1058#396C2×D7111yescharacteristic, complemented
1059#395—711no—
1060#395—711no—
1061#395—711no—
1062#395—711no—
1063#395—711no—
1064#395—711no—
1065#395—711no—
1066#395C2×D7111yescharacteristic, complemented
1067#394—711no—
1068#394—711no—
1069#394—711no—
1070#394—711no—
1071#394—711no—
1072#394—711no—
1073#394—711no—
1074#394C2×D7111yescharacteristic, complemented
1075#392—711no—
1076#392—711no—
1077#392—711no—
1078#392—711no—
1079#392—711no—
1080#392—711no—
1081#392—711no—
1082#392C2×D7111yescharacteristic
1083#390—711no—
1084#390—711no—
1085#390—711no—
1086#390—711no—
1087#390—711no—
1088#390—711no—
1089#390—711no—
1090#390C2×D7111yescharacteristic, complemented
1091#388—711no—
1092#388—711no—
1093#388—711no—
1094#388—711no—
1095#388—711no—
1096#388—711no—
1097#388—711no—
1098#388—711no—
1099#388—711no—
1100#388—711no—
1101#388—711no—
1102#388—711no—
1103#388—711no—
1104#388—711no—
1105#388—711no—
1106#388—711no—
1107#388—711no—
1108#388—711no—
1109#388—711no—
1110#388—711no—
1111#388—711no—
1112#388C2×D7111yescharacteristic, complemented
1113#388C2×D7111yescharacteristic, complemented
1114#388C2×D7111yescharacteristic, complemented
1115#386—711no—
1116#386—711no—
1117#386—711no—
1118#386—711no—
1119#386—711no—
1120#386—711no—
1121#386—711no—
1122#386C2×D7111yescharacteristic, complemented
1123#385—711no—
1124#385—711no—
1125#385—711no—
1126#385—711no—
1127#385—711no—
1128#385—711no—
1129#385—711no—
1130#385C2×D7111yescharacteristic, complemented
1131C4×C4⋊C4—711no—
1132C4×C4⋊C4—711no—
1133C4×C4⋊C4—711no—
1134C4×C4⋊C4—711no—
1135C4×C4⋊C4—711no—
1136C4×C4⋊C4—711no—
1137C4×C4⋊C4—711no—
1138C4×C4⋊C4C2×D7111yescharacteristic, complemented
1139C2×#95—711no—
1140C2×#95—711no—
1141C2×#95—711no—
1142C2×#95—711no—
1143C2×#95—711no—
1144C2×#95—711no—
1145C25—711no—
1146C25—711no—
1147C25—711no—
1148C22×Q8—2842no—
1149C22×Q8—711no—
1150C22×Q8—711no—
1151C22×Q8—711no—
1152C22×Q8—1424no—
1153C22×Q8—1424no—
1154C22×Q8C22×D7111yescharacteristic
1155C22×D4—2842no—
1156C22×D4—2842no—
1157C22×D4—711no—
1158C22×D4—711no—
1159C22×D4—711no—
1160C22×D4—711no—
1161C22×D4—711no—
1162C22×D4—711no—
1163C22×D4—711no—
1164C22×D4—711no—
1165C22×D4—711no—
1166C22×D4—1424no—
1167C22×D4—1424no—
1168C22×D4—1424no—
1169C22×D4—1424no—
1170C22×D4—1424no—
1171C22×D4—1424no—
1172C22×D4—1424no—
1173C22×D4C22×D7111yescharacteristic
1174C22×D4C22×D7111yescharacteristic
1175C22×D4C22×D7111yescharacteristic
1176C23×C4—2842no—
1177C23×C4—2842no—
1178C23×C4—711no—
1179C23×C4—711no—
1180C23×C4—711no—
1181C23×C4—711no—
1182C23×C4—711no—
1183C23×C4—711no—
1184C23×C4—711no—
1185C23×C4—711no—
1186C23×C4—711no—
1187C23×C4—711no—
1188C23×C4—711no—
1189C23×C4—711no—
1190C23×C4—711no—
1191C23×C4—711no—
1192C23×C4—711no—
1193C23×C4—711no—
1194C23×C4—711no—
1195C23×C4—711no—
1196C23×C4—1424no—
1197C23×C4—1424no—
1198C23×C4—1424no—
1199C23×C4—1424no—
1200C23×C4C22×D7111yescharacteristic
1201C23×C4C22×D7111yescharacteristic
1202#124—24no—
1203#124—1424no—
1204#124—1424no—
1205#124—1424no—
1206#124—1424no—
1207#124—1424no—
1208#124—1424no—
1209#124—1424no—
1210#123—24no—
1211#123—1424no—
1212#123—1424no—
1213#123—1424no—
1214#123—1424no—
1215#123—1424no—
1216#123—1424no—
1217#123—1424no—
1218C22⋊Q8—24no—
1219C22⋊Q8—1424no—
1220C22⋊Q8—1424no—
1221C22⋊Q8—1424no—
1222C22⋊Q8—1424no—
1223C22⋊Q8—1424no—
1224C22⋊Q8—1424no—
1225C22⋊Q8—1424no—
1226C4×D4—24no—
1227C4×D4—1424no—
1228C4×D4—1424no—
1229C4×D4—1424no—
1230C4×D4—1424no—
1231C4×D4—1424no—
1232C4×D4—1424no—
1233C4×D4—1424no—
1234C2×C4⋊C4—2842no—
1235C2×C4⋊C4—711no—
1236C2×C4⋊C4—711no—
1237C2×C4⋊C4—711no—
1238C2×C4⋊C4—711no—
1239C2×C4⋊C4—711no—
1240C2×C4⋊C4—711no—
1241C2×C4⋊C4—718no—
1242C2×C4⋊C4—711no—
1243C2×C4⋊C4—711no—
1244C2×C4⋊C4—711no—
1245C2×C4⋊C4—711no—
1246C2×C4⋊C4—711no—
1247C2×C4⋊C4—711no—
1248C2×C4⋊C4—711no—
1249C2×C4⋊C4—711no—
1250C2×C4⋊C4—711no—
1251C2×C4⋊C4—711no—
1252C2×C4⋊C4—711no—
1253C2×C4⋊C4—711no—
1254C2×C4⋊C4—711no—
1255C2×C4⋊C4—711no—
1256C2×C4⋊C4—711no—
1257C2×C4⋊C4—1424no—
1258C2×C4⋊C4—1424no—
1259C2×C4⋊C4—1424no—
1260C2×C4⋊C4—1424no—
1261C2×C4⋊C4—1424no—
1262C2×C4⋊C4C22×D7111yescharacteristic
1263C2×C4⋊C4C22×D7111yescharacteristic
1264C2×C4⋊C4C22×D7111yescharacteristic
1265C2×C4⋊C4C22×D7111yescharacteristic
1266C2×C4⋊C4C22×D7111yescharacteristic
1267C2×C4⋊C4C22×D7111yescharacteristic
1268C2×C4⋊C4C22×D7111yescharacteristic
1269C2×C22⋊C4—711no—
1270C2×C22⋊C4—711no—
1271C2×C22⋊C4—711no—
1272C2×C22⋊C4—718no—
1273C2×C22⋊C4—711no—
1274C2×C22⋊C4—711no—
1275C2×C22⋊C4—711no—
1276C2×C22⋊C4—711no—
1277C2×C22⋊C4—711no—
1278C2×C22⋊C4—711no—
1279C2×C22⋊C4—711no—
1280C2×C22⋊C4—711no—
1281C2×C22⋊C4—711no—
1282C2×C22⋊C4—711no—
1283C2×C22⋊C4—711no—
1284C2×C22⋊C4—711no—
1285C2×C22⋊C4—711no—
1286C2×C22⋊C4—711no—
1287C2×C22⋊C4—711no—
1288C2×C22⋊C4—711no—
1289C2×C22⋊C4—711no—
1290C2×C22⋊C4—711no—
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⋊C4—711no—
1298C2×C22⋊C4—711no—
1299C2×C22⋊C4—711no—
1300C2×C22⋊C4—711no—
1301C2×C22⋊C4—711no—
1302C2×C22⋊C4—711no—
1303C2×C22⋊C4—711no—
1304C2×C22⋊C4—711no—
1305C2×C22⋊C4—711no—
1306C2×C22⋊C4—711no—
1307C2×C22⋊C4—711no—
1308C2×C22⋊C4—711no—
1309C2×C22⋊C4—1424no—
1310C2×C22⋊C4—1424no—
1311C2×C22⋊C4—1424no—
1312C2×C22⋊C4—1424no—
1313C2×C22⋊C4—1424no—
1314C2×C22⋊C4—1424no—
1315C2×C22⋊C4—1424no—
1316C2×C22⋊C4—1424no—
1317C2×C22⋊C4—1424no—
1318C2×C22⋊C4—1424no—
1319C2×C22⋊C4—1424no—
1320C2×C22⋊C4—1424no—
1321C2×C22⋊C4C22×D7111yescharacteristic
1322C2×C22⋊C4C22×D7111yescharacteristic
1323C2×C22⋊C4C22×D7111yescharacteristic
1324C2×C22⋊C4C22×D7111yescharacteristic
1325C2×C22⋊C4C22×D7111yescharacteristic
1326C2×C22⋊C4C22×D7111yescharacteristic
1327C2×C22⋊C4C22×D7111yescharacteristic
1328C2×C22⋊C4C22×D7111yescharacteristic
1329C2×C22⋊C4C22×D7111yescharacteristic
1330C2×C22⋊C4C22×D7111yescharacteristic
1331C2×C22⋊C4C22×D7111yescharacteristic
1332C2×C22⋊C4C22×D7111yescharacteristic
1333C2×C22⋊C4C22×D7111yescharacteristic
1334C2×C42—711no—
1335C2×C42—711no—
1336C2×C42—711no—
1337C2×C42—711no—
1338C2×C42—711no—
1339C2×C42—711no—
1340C2×C42—711no—
1341C2×C42—711no—
1342C2×C42—711no—
1343C2×C42—1424no—
1344C2×C42—1424no—
1345C2×C42—1424no—
1346C2×C42C22×D7111yescharacteristic
1347C2×C42C22×D7111yescharacteristic
1348C2×C42C22×D7111yescharacteristic
1349#95—711no—
1350#95—711no—
1351#95—711no—
1352#95—711no—
1353#95—711no—
1354#95—711no—
1355#95—711no—
1356#95—711no—
1357#95—711no—
1358#95—711no—
1359#95—711no—
1360#95—711no—
1361#95—711no—
1362#95—711no—
1363#95—711no—
1364#95—711no—
1365#95—711no—
1366#95—711no—
1367#95C22×D7111yescharacteristic
1368#95C22×D7111yescharacteristic
1369#95C22×D7111yescharacteristic
1370#95C22×D7111yescharacteristic
1371#95C22×D7111yescharacteristic
1372#95C22×D7111yescharacteristic
1373C24—711no—
1374C24—714no—
1375C24—714no—
1376C24—711no—
1377C24—711no—
1378C24—711no—
1379C24—1422no—
1380C24—1422no—
1381C24—1422no—
1382C24—1422no—
1383C24—1422no—
1384C24—1422no—
1385C24—1422no—
1386C24—1422no—
1387C24—1422no—
1388C24—1422no—
1389C24—1422no—
1390C24—1422no—
1391C24—1422no—
1392C24—1422no—
1393C24—1422no—
1394C24—1422no—
1395C24—1422no—
1396C24—1422no—
1397C24—1422no—
1398C24C23×D7111yescharacteristic
1399C24C23×D7111yescharacteristic
1400C24C23×D7111yescharacteristic
1401C2×Q8—22no—
1402C2×Q8—22no—
1403C2×Q8—41no—
1404C2×Q8—2841no—
1405C2×Q8—2841no—
1406C2×Q8—2841no—
1407C2×Q8—28416no—
1408C2×Q8—1422no—
1409C2×Q8—1422no—
1410C2×Q8—1422no—
1411C2×Q8—1422no—
1412C2×Q8—1422no—
1413C2×Q8—1422no—
1414C2×D4—22no—
1415C2×D4—22no—
1416C2×D4—22no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—22no—
1421C2×D4—41no—
1422C2×D4—41no—
1423C2×D4—2841no—
1424C2×D4—2841no—
1425C2×D4—28416no—
1426C2×D4—28416no—
1427C2×D4—2841no—
1428C2×D4—2841no—
1429C2×D4—2841no—
1430C2×D4—2841no—
1431C2×D4—1422no—
1432C2×D4—1422no—
1433C2×D4—1422no—
1434C2×D4—1422no—
1435C2×D4—1422no—
1436C2×D4—1422no—
1437C2×D4—1422no—
1438C2×D4—1422no—
1439C2×D4—1422no—
1440C2×D4—1422no—
1441C2×D4—14232no—
1442C2×D4—1422no—
1443C2×D4—1422no—
1444C2×D4—1422no—
1445C2×D4—1422no—
1446C2×D4—1422no—
1447C2×D4—1422no—
1448C2×D4—1422no—
1449C2×D4—1422no—
1450C2×D4—1422no—
1451C2×D4—1422no—
1452C2×D4—1422no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—41no—
1458C22×C4—41no—
1459C22×C4—2841no—
1460C22×C4—2841no—
1461C22×C4—2841no—
1462C22×C4—2841no—
1463C22×C4—28416no—
1464C22×C4—28416no—
1465C22×C4—2841no—
1466C22×C4—2841no—
1467C22×C4—711no—
1468C22×C4—711no—
1469C22×C4—711no—
1470C22×C4—711no—
1471C22×C4—711no—
1472C22×C4—711no—
1473C22×C4—711no—
1474C22×C4—714no—
1475C22×C4—714no—
1476C22×C4—714no—
1477C22×C4—714no—
1478C22×C4—714no—
1479C22×C4—714no—
1480C22×C4—714no—
1481C22×C4—711no—
1482C22×C4—711no—
1483C22×C4—711no—
1484C22×C4—711no—
1485C22×C4—711no—
1486C22×C4—1422no—
1487C22×C4—1422no—
1488C22×C4—1422no—
1489C22×C4—1422no—
1490C22×C4—1422no—
1491C22×C4—1422no—
1492C22×C4—1422no—
1493C22×C4—1422no—
1494C22×C4—1422no—
1495C22×C4—1422no—
1496C22×C4—1422no—
1497C22×C4—1422no—
1498C22×C4—1422no—
1499C22×C4—1422no—
1500C22×C4—1422no—
1501C22×C4—1422no—
1502C22×C4—1422no—
1503C22×C4—1422no—
1504C22×C4—1422no—
1505C22×C4—1422no—
1506C22×C4—1422no—
1507C22×C4—1422no—
1508C22×C4—1422no—
1509C22×C4—1422no—
1510C22×C4—1422no—
1511C22×C4—1422no—
1512C22×C4—1422no—
1513C22×C4—1422no—
1514C22×C4—1422no—
1515C22×C4—1422no—
1516C22×C4—1422no—
1517C22×C4—1422no—
1518C22×C4—1422no—
1519C22×C4—1422no—
1520C22×C4—1422no—
1521C22×C4—1422no—
1522C22×C4—1422no—
1523C22×C4—1422no—
1524C22×C4—1422no—
1525C22×C4—1422no—
1526C22×C4—1422no—
1527C22×C4C23×D7111yescharacteristic
1528C22×C4C23×D7111yescharacteristic
1529C22×C4C23×D7111yescharacteristic
1530C22×C4C23×D7111yescharacteristic
1531C22×C4C23×D7111yescharacteristic
1532C22×C4C23×D7111yescharacteristic
1533C22×C4C23×D7111yescharacteristic
1534C22×C4C23×D7111yescharacteristic
1535C22×C4C23×D7111yescharacteristic
1536C22×C4C23×D7111yescharacteristic
1537C22×C4C23×D7111yescharacteristic
1538C22×C4C23×D7111yescharacteristic
1539C4⋊C4—22no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—41no—
1545C4⋊C4—2841no—
1546C4⋊C4—2841no—
1547C4⋊C4—2841no—
1548C4⋊C4—714no—
1549C4⋊C4—714no—
1550C4⋊C4—714no—
1551C4⋊C4—1422no—
1552C4⋊C4—1422no—
1553C4⋊C4—1422no—
1554C4⋊C4—1422no—
1555C4⋊C4—1422no—
1556C4⋊C4—1422no—
1557C4⋊C4—1422no—
1558C4⋊C4—1422no—
1559C4⋊C4—1422no—
1560C4⋊C4—1422no—
1561C4⋊C4—1422no—
1562C4⋊C4—1422no—
1563C4⋊C4—1422no—
1564C4⋊C4—1422no—
1565C4⋊C4—1422no—
1566C4⋊C4D4×D7114yescomplemented
1567C22⋊C4—22no—
1568C22⋊C4—22no—
1569C22⋊C4—22no—
1570C22⋊C4—22no—
1571C22⋊C4—22no—
1572C22⋊C4—22no—
1573C22⋊C4—22no—
1574C22⋊C4—22no—
1575C22⋊C4—22no—
1576C22⋊C4—22no—
1577C22⋊C4—22no—
1578C22⋊C4—22no—
1579C22⋊C4—714no—
1580C22⋊C4—714no—
1581C22⋊C4—714no—
1582C22⋊C4—1422no—
1583C22⋊C4—1422no—
1584C22⋊C4—1422no—
1585C22⋊C4—1422no—
1586C22⋊C4—1422no—
1587C22⋊C4—1422no—
1588C22⋊C4—1422no—
1589C22⋊C4—1422no—
1590C22⋊C4—1422no—
1591C22⋊C4—1422no—
1592C22⋊C4—1422no—
1593C22⋊C4—1422no—
1594C22⋊C4—1422no—
1595C22⋊C4—1422no—
1596C22⋊C4—1422no—
1597C22⋊C4—1422no—
1598C22⋊C4—1422no—
1599C22⋊C4—1422no—
1600C22⋊C4—1422no—
1601C22⋊C4—1422no—
1602C22⋊C4—1422no—
1603C22⋊C4—1422no—
1604C22⋊C4—1422no—
1605C22⋊C4—1422no—
1606C22⋊C4—1422no—
1607C22⋊C4—1422no—
1608C22⋊C4—1422no—
1609C22⋊C4—1422no—
1610C22⋊C4—1422no—
1611C22⋊C4—1422no—
1612C22⋊C4—1422no—
1613C22⋊C4—1422no—
1614C22⋊C4—1422no—
1615C22⋊C4—1422no—
1616C22⋊C4—1422no—
1617C22⋊C4—1422no—
1618C22⋊C4D4×D7114yescomplemented
1619C42—22no—
1620C42—22no—
1621C42—22no—
1622C42—1422no—
1623C42—1422no—
1624C42—1422no—
1625C42—1422no—
1626C42—1422no—
1627C42—1422no—
1628C42—1422no—
1629C42—1422no—
1630C42—1422no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—2844no—
1651C23—2844no—
1652C23—2844no—
1653C23—2844no—
1654C23—2844no—
1655C23—2844no—
1656C23—2844no—
1657C23—2844no—
1658C23—2844no—
1659C23—2844no—
1660C23—2844no—
1661C23—2844no—
1662C23—2844no—
1663C23—2844no—
1664C23—2844no—
1665C23—712no—
1666C23—712no—
1667C23—712no—
1668C23—712no—
1669C23—712no—
1670C23—712no—
1671C23—712no—
1672C23—712no—
1673C23—712no—
1674C23—1428no—
1675C23—1428no—
1676C23—1428no—
1677C23—1428no—
1678C23—1428no—
1679C23—1428no—
1680C23—1421no—
1681C23—1421no—
1682C23—1421no—
1683C23—1421no—
1684C23—1421no—
1685C23—1421no—
1686C23—1421no—
1687C23—1421no—
1688C23—1421no—
1689C23—1421no—
1690C23—1421no—
1691C23—1421no—
1692C23—1421no—
1693C23—1421no—
1694C23—1421no—
1695C23—1421no—
1696C23—1421no—
1697C23—1421no—
1698C23—1421no—
1699C23C2×D4×D7112yes—
1700C23#41×D7112yes—
1701C23C24×D7111yescharacteristic
1702Q8—44no—
1703Q8—2844no—
1704Q8—2844no—
1705Q8—2844no—
1706D4—28no—
1707D4—44no—
1708D4—44no—
1709D4—2844no—
1710D4—2844no—
1711D4—2844no—
1712D4—2844no—
1713D4—2844no—
1714D4—2844no—
1715D4—1428no—
1716D4—1428no—
1717D4—1428no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—44no—
1748C2×C4—44no—
1749C2×C4—2844no—
1750C2×C4—2844no—
1751C2×C4—2844no—
1752C2×C4—2844no—
1753C2×C4—2844no—
1754C2×C4—2844no—
1755C2×C4—2844no—
1756C2×C4—2844no—
1757C2×C4—2844no—
1758C2×C4—2844no—
1759C2×C4—2844no—
1760C2×C4—712no—
1761C2×C4—712no—
1762C2×C4—712no—
1763C2×C4—712no—
1764C2×C4—712no—
1765C2×C4—712no—
1766C2×C4—712no—
1767C2×C4—1428no—
1768C2×C4—1428no—
1769C2×C4—1428no—
1770C2×C4—1428no—
1771C2×C4—1428no—
1772C2×C4—1428no—
1773C2×C4—1428no—
1774C2×C4—1421no—
1775C2×C4—1421no—
1776C2×C4—1421no—
1777C2×C4—1421no—
1778C2×C4—1421no—
1779C2×C4—1421no—
1780C2×C4—1421no—
1781C2×C4—1421no—
1782C2×C4—1421no—
1783C2×C4—1421no—
1784C2×C4—1421no—
1785C2×C4—1421no—
1786C2×C4—1421no—
1787C2×C4—1421no—
1788C2×C4—1421no—
1789C2×C4—1421no—
1790C2×C4—1421no—
1791C2×C4—1421no—
1792C2×C4—1421no—
1793C2×C4—1421no—
1794C2×C4—1421no—
1795C2×C4—1421no—
1796C2×C4—1421no—
1797C2×C4—1421no—
1798C2×C4—1421no—
1799C2×C4—1421no—
1800C2×C4—1421no—
1801C2×C4—1421no—
1802C2×C4—1421no—
1803C2×C4C2×D4×D7112yes—
1804C2×C4C2×D4×D7112yes—
1805C2×C4C2×D4×D7112yes—
1806C2×C4C2×D4×D7112yes—
1807C2×C4C2×D4×D7112yes—
1808C2×C4#41×D7112yes—
1809C2×C4#41×D7112yes—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—28416no—
1832C22—28416no—
1833C22—2841no—
1834C22—2841no—
1835C22—2841no—
1836C22—2841no—
1837C22—2841no—
1838C22—2841no—
1839C22—2841no—
1840C22—2841no—
1841C22—2841no—
1842C22—2841no—
1843C22—2841no—
1844C22—2841no—
1845C22—2841no—
1846C22—2841no—
1847C22—2841no—
1848C22—5688no—
1849C22—714no—
1850C22—714no—
1851C22—714no—
1852C22—714no—
1853C22—714no—
1854C22—714no—
1855C22—714no—
1856C22—1422no—
1857C22—1422no—
1858C22—1422no—
1859C22—1422no—
1860C22—1422no—
1861C22—1422no—
1862C22C22×D4×D7111yescharacteristic
1863C22C22×D4×D7111yescharacteristic
1864C22C2×#41×D7111yescharacteristic
1865C22C2×#41×D7111yescharacteristic
1866C22C2×#41×D7111yescharacteristic
1867C22H(5,𝔽2)×D7111yescharacteristic
1868C222−1+4×D7111yescharacteristic
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—2841no—
1882C4—2841no—
1883C4—2841no—
1884C4—2841no—
1885C4—2841no—
1886C4—1422no—
1887C4—1422no—
1888C4—1422no—
1889C4—1422no—
1890C4—1422no—
1891C4—1422no—
1892C4—1422no—
1893C2—42no—
1894C2—42no—
1895C2—81no—
1896C2—2842no—
1897C2—2842no—
1898C2—5681no—
1899C2—718no—
1900C2#525×D7111yescharacteristic
1901C2#532×D7111yescharacteristic
1902C2#542×D7111yescharacteristic
1903C2D42×D7111yescharacteristic
1904C2#547×D7111yescharacteristic
1905C2#548×D7111yescharacteristic
1906C2#551×D7111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D71
commutator, socle, cosocleC23×C71C25
FittingC71×#2461C2
prime radical#392×D71C2
hypercenter#2461D71
hypocenterC71C2×#2461
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C23 ◁ #2461

Complements

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

NH ≅ G/Ntype
1. C2×#124×D71C2semidirect
2. C2×#123×D71C2semidirect
3. C2×C22⋊Q8×D71C2semidirect
4. C2×C4×D4×D71C2semidirect
5. #22592314C2semidirect
6. #22592313C2semidirect
7. #22592312C2semidirect
8. #22592311C2semidirect
9. #22592310C2semidirect
10. #22592309C2semidirect
11. #22592308C2semidirect
12. #22592307C2semidirect
13. #22592306C2semidirect
14. #22592305C2semidirect
15. #22592304C2semidirect
16. #22592303C2semidirect
17. #22592302C2semidirect
18. #22592301C2semidirect
19. #22592300C2semidirect
20. #396×D71C2semidirect
21. #395×D71C2semidirect
22. #394×D71C2semidirect
24. #390×D71C2semidirect
25. #388×D71C2semidirect
26. #388×D71C2semidirect
27. #388×D71C2semidirect
28. #386×D71C2semidirect
29. #385×D71C2semidirect
30. C4×C4⋊C4×D71C2semidirect
31. C71×#2461C2semidirect
38. C2×#14556117C22semidirect
39. C2×#14556116C22semidirect
40. C2×#14556115C22semidirect
41. C2×#14556114C22semidirect
42. C2×#14556114C22semidirect
43. C2×#14556114C22semidirect
44. C2×#14556114C22semidirect
46. C2×#14556113C22semidirect
47. C2×#14556113C22semidirect
48. C2×#14556112C22semidirect
49. C2×#14556111C22semidirect
50. C2×#14556110C22semidirect
51. C2×#14556110C22semidirect
52. C2×#14556109C22semidirect
54. C2×#14556108C22semidirect
55. C2×#14556107C22semidirect
56. C2×#14556106C22semidirect
57. C2×#14556106C22semidirect
58. C2×#14556105C22semidirect
59. C2×#14556105C22semidirect
60. C2×#14556104C22semidirect
62. C2×C4×D284C22semidirect
63. C2×D4×Dic71C22semidirect
64. C2×#14556090C22semidirect
65. C2×C4×C22⋊D71C22semidirect
66. C2×C4×C22⋊D71C22semidirect
67. C2×(C22⋊D71)⋊C4C22semidirect
68. C2×(C22⋊D71)⋊C4C22semidirect
93. #17985923C22semidirect
94. #17985922C22semidirect
95. #17985922C22semidirect
96. #17985922C22semidirect
97. #17985921C22semidirect
98. #17985921C22semidirect
99. #17985921C22semidirect
100. #17985920C22semidirect
101. #17985920C22semidirect
102. #17985920C22semidirect
103. #17985919C22semidirect
104. #17985919C22semidirect
105. #17985919C22semidirect
106. #17985918C22semidirect
107. #17985917C22semidirect
108. #17985916C22semidirect
109. #17985915C22semidirect
110. #17985915C22semidirect
111. #17985914C22semidirect
112. #17985914C22semidirect
113. #17985913C22semidirect
121. #17985902C22semidirect
122. #17985901C22semidirect
123. #17985900C22semidirect
124. #17985899C22semidirect
125. #17985899C22semidirect
126. #17985899C22semidirect
127. #17985899C22semidirect
128. #17985893C22semidirect
129. #17985893C22semidirect
130. #17985893C22semidirect
131. #17985892C22semidirect
132. #17985892C22semidirect
133. #17985892C22semidirect
134. #17985891C22semidirect
135. #17985891C22semidirect
136. #17985891C22semidirect
137. #17985890C22semidirect
138. #17985890C22semidirect
139. #17985890C22semidirect
140. #17985889C22semidirect
141. #17985889C22semidirect
142. #17985889C22semidirect
143. #17985888C22semidirect
144. #17985888C22semidirect
145. #17985888C22semidirect
146. #17985887C22semidirect
147. #17985887C22semidirect
148. #17985887C22semidirect
149. #17985879C22semidirect
150. #17985878C22semidirect
151. #17985877C22semidirect
152. #17985877C22semidirect
153. #17985876C22semidirect
154. #17985875C22semidirect
155. #17985875C22semidirect
156. #17985874C22semidirect
157. #17985873C22semidirect
158. #17985873C22semidirect
159. #17985872C22semidirect
160. #17985871C22semidirect
161. #17985870C22semidirect
162. #17985870C22semidirect
163. C4⋊C4×Dic71C22semidirect
164. C4⋊C4×Dic71C22semidirect
165. C4×Dic71⋊C4C22semidirect
166. C4×Dic71⋊C4C22semidirect
167. C4×C4⋊Dic71C22semidirect
168. #17985850C22semidirect
169. #17985850C22semidirect
176. C2×#124×C71C22semidirect
177. C2×#123×C71C22semidirect
178. C2×C22⋊Q8×C71C22semidirect
179. C2×C4×D4×C71C22semidirect
180. #396×C71C22semidirect
181. #395×C71C22semidirect
182. #394×C71C22semidirect
184. #390×C71C22semidirect
185. #388×C71C22semidirect
186. #388×C71C22semidirect
187. #388×C71C22semidirect
188. #386×C71C22semidirect
189. #385×C71C22semidirect
190. C4×C4⋊C4×C71C22semidirect
297. C4⋊C4×D71D4semidirect
349. C22⋊C4×D71D4semidirect
558. C4⋊Dic71C2×D4semidirect
571. Dic71⋊C4C2×D4semidirect
572. Dic71⋊C4C2×D4semidirect
585. C22⋊Dic71C2×D4semidirect
610. (C2×D71)⋊C4C2×D4semidirect
611. (C2×D71)⋊C4C2×D4semidirect
660. C4⋊C4×C71C2×D4semidirect
673. C22⋊C4×C71C2×D4semidirect
953. D71#2461direct (N × H)
973. #2461D71direct (N × H)
985. C71C2×#2461semidirect
1000. C2×#124C2×D71semidirect
1009. C2×#123C2×D71semidirect
1018. C2×C22⋊Q8C2×D71semidirect
1027. C2×C4×D4C2×D71semidirect
1058. #396C2×D71semidirect
1066. #395C2×D71semidirect
1074. #394C2×D71semidirect
1090. #390C2×D71semidirect
1112. #388C2×D71semidirect
1113. #388C2×D71semidirect
1114. #388C2×D71semidirect
1122. #386C2×D71semidirect
1130. #385C2×D71semidirect
1138. C4×C4⋊C4C2×D71semidirect
1566. C4⋊C4D4×D71semidirect
1618. C22⋊C4D4×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#124×D712
C2×#123×D712
C2×C22⋊Q8×D712
C2×C4×D4×D712
#225923142
#225923132
#225923122
#225923112
#225923102
#225923092
#225923082
#225923072
#225923062
#225923052
#225923042
#225923032
#225923022
#225923012
#225923002
#396×D712
#395×D712
#394×D712
#392×D712
#390×D712
#388×D712
#386×D712
#385×D712
C4×C4⋊C4×D712
C71×#24612
C2×#246171