Finite Group Databasebeta

← #32158586

Subgroups — #32158586

Order 18176.

3658 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986560C211yesmaximal, characteristic
2C2×#17986473C211yesmaximal, characteristic, complemented
3C2×C4×D4×D71C211yesmaximal, characteristic, complemented
4#22591391C211yesmaximal, characteristic, complemented
5#22591386C211yesmaximal, characteristic, complemented
6#22591386C211yesmaximal, characteristic, complemented
7#22591384C211yesmaximal, characteristic, complemented
8#22591359C211yesmaximal, characteristic, complemented
9#22591358C211yesmaximal, characteristic, complemented
10#22591355C211yesmaximal, characteristic, complemented
11#22591353C211yesmaximal, characteristic, complemented
12#22591336C211yesmaximal, characteristic, complemented
13#22591332C211yesmaximal, characteristic, complemented
14#22591328C211yesmaximal, characteristic, complemented
15#22591322C211yesmaximal, characteristic, complemented
16#22591320C211yesmaximal, characteristic, complemented
17#22591317C211yesmaximal, characteristic, complemented
18#22591316C211yesmaximal, characteristic, complemented
19#22591013C211yesmaximal, characteristic, complemented
20#22591004C211yesmaximal, characteristic, complemented
21#22591002C211yesmaximal, characteristic, complemented
22#22590993C211yesmaximal, characteristic, complemented
23#22590914C211yesmaximal, characteristic, complemented
24C4×#14556113C211yesmaximal, characteristic, complemented
25#22590861C211yesmaximal, characteristic, complemented
26C4×#14556098C211yesmaximal, characteristic, complemented
27#22590841C211yesmaximal, characteristic, complemented
28C2×#17985877C211yesmaximal, characteristic, complemented
29#385×D71C211yesmaximal, characteristic, complemented
30#22590692C211yesmaximal, characteristic, complemented
31C71×#2359C211yesmaximal, characteristic, complemented
32C23×D284C2211yescharacteristic
33C22×D4×D71C2211yescharacteristic
34C23×C4×D71C2211yescharacteristic
35C23×C4×D71C2211yescharacteristic, complemented
36#17986560C4116yescomplemented
37C2×#14556113C2211yescharacteristic
38C2×#14556113C2211yescharacteristic
39C2×#14556111C2211yescharacteristic
40C2×#14556103C2211yescharacteristic
41C2×#14556103C2211yescharacteristic
42C2×#14556101C2211yescharacteristic
43C2×#14556101C2211yescharacteristic
44C2×#14556098C2211yescharacteristic
45C2×#14556098C2211yescharacteristic
46C2×#14556098C2211yescharacteristic
47C2×#14556096C2211yescharacteristic
48#17986473—28no—
49C2×C4×D284C2211yescharacteristic
50C2×C4×D284C2211yescharacteristic
51C2×C4×D284C2211yescharacteristic, complemented
52C2×C4×D284C2211yescharacteristic, complemented
53C2×C4×D284C2211yescharacteristic, complemented
54C2×C4×D284C2211yescharacteristic, complemented
55C2×D4×Dic71C2211yescharacteristic
56C2×#14556090C2211yescharacteristic
57C2×#14556090C2211yescharacteristic
58C2×#14556090C2211yescharacteristic, complemented
59C2×#14556090C2211yescharacteristic, complemented
60C2×#14556090C2211yescharacteristic, complemented
61C2×#14556090C2211yescharacteristic, complemented
62C2×C4×C22⋊D71C2211yescharacteristic
63C2×C4×C22⋊D71C2211yescharacteristic, complemented
64C2×C4×C22⋊D71C2211yescharacteristic, complemented
65C2×(C22⋊D71)⋊C4C2211yescharacteristic
66C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
67C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
68C4×D4×D71—28no—
69C2×#14556087C2211yescharacteristic, complemented
70C2×C4⋊C4×D71C2211yescharacteristic, complemented
71C2×C4⋊C4×D71C2211yescharacteristic, complemented
72C2×C4⋊C4×D71C2211yescharacteristic, complemented
73C22×(C2×D71)⋊C4C2211yescharacteristic
74C22×(C2×D71)⋊C4C2211yescharacteristic, complemented
75C22×(C2×D71)⋊C4C2211yescharacteristic, complemented
76C2×C22⋊C4×D71C2211yescharacteristic
77C2×C22⋊C4×D71C2211yescharacteristic
78C2×C22⋊C4×D71C2211yescharacteristic
79C2×C22⋊C4×D71C2211yescharacteristic, complemented
80C2×C22⋊C4×D71C2211yescharacteristic, complemented
81C2×C22⋊C4×D71C2211yescharacteristic, complemented
82C2×C42×D71C2211yescharacteristic, complemented
83#17985901C2211yescharacteristic, complemented
84#17985900C2211yescharacteristic, complemented
85#17985899C2211yescharacteristic, complemented
86#17985899C2211yescharacteristic, complemented
87#17985898C2211yescharacteristic, complemented
88#17985896C2211yescharacteristic, complemented
89#17985894C2211yescharacteristic, complemented
90#17985892C2211yescharacteristic, complemented
91#17985892C2211yescharacteristic, complemented
92#17985891C2211yescharacteristic, complemented
93#17985891C2211yescharacteristic, complemented
94#17985891C2211yescharacteristic, complemented
95#17985890C2211yescharacteristic, complemented
96#17985890C2211yescharacteristic, complemented
97#17985890C2211yescharacteristic, complemented
98#17985889C2211yescharacteristic, complemented
99#17985889C2211yescharacteristic, complemented
100#17985889C2211yescharacteristic, complemented
101#17985888C2211yescharacteristic, complemented
102#17985888C2211yescharacteristic, complemented
103#17985888C2211yescharacteristic, complemented
104#17985886C2211yescharacteristic, complemented
105#17985885C2211yescharacteristic, complemented
106#17985885C2211yescharacteristic, complemented
107#17985883C2211yescharacteristic, complemented
108#17985881C2211yescharacteristic, complemented
109#17985880C2211yescharacteristic, complemented
110#17985879C2211yescharacteristic
111#17985878C2211yescharacteristic
112#17985878C2211yescharacteristic, complemented
113#17985877C2211yescharacteristic
114#17985877C2211yescharacteristic
115#17985877C2211yescharacteristic
116#17985877C2211yescharacteristic
117#17985877C2211yescharacteristic, complemented
118#17985877C2211yescharacteristic, complemented
119#17985877C2211yescharacteristic, complemented
120#17985877C2211yescharacteristic, complemented
121#17985877C2211yescharacteristic, complemented
122#17985877C2211yescharacteristic, complemented
123#17985877C2211yescharacteristic, complemented
124#17985877C2211yescharacteristic, complemented
125#17985877C2211yescharacteristic, complemented
126#17985877C2211yescharacteristic, complemented
127#17985876C2211yescharacteristic
128#17985876C2211yescharacteristic, complemented
129#17985875C2211yescharacteristic, complemented
130#17985875C2211yescharacteristic, complemented
131#17985875C2211yescharacteristic, complemented
132#17985875C2211yescharacteristic, complemented
133#17985874C2211yescharacteristic, complemented
134#17985874C2211yescharacteristic, complemented
135#17985873C2211yescharacteristic, complemented
136#17985873C2211yescharacteristic, complemented
137#17985873C2211yescharacteristic, complemented
138#17985873C2211yescharacteristic, complemented
139#17985873C2211yescharacteristic, complemented
140#17985872C2211yescharacteristic, complemented
141#17985871C2211yescharacteristic, complemented
142#17985870C2211yescharacteristic, complemented
143#17985870C2211yescharacteristic, complemented
144#17985870C2211yescharacteristic, complemented
145#17985870C2211yescharacteristic, complemented
146#17985870C2211yescharacteristic, complemented
147#17985861C2211yescharacteristic, complemented
148#17985861C2211yescharacteristic, complemented
149#17985854C2211yescharacteristic, complemented
150#17985854C2211yescharacteristic, complemented
151C4⋊C4×Dic71C2211yescharacteristic, complemented
152C4×Dic71⋊C4C2211yescharacteristic, complemented
153#17985850C2211yescharacteristic, complemented
154C22⋊C4×Dic71C2211yescharacteristic, complemented
155C22⋊C4×Dic71C2211yescharacteristic, complemented
156C22⋊C4×Dic71C2211yescharacteristic, complemented
157C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
164C4×C22⋊Dic71C2211yescharacteristic, complemented
165#17985846C2211yescharacteristic, complemented
166#17985846C2211yescharacteristic, complemented
167#17985846C2211yescharacteristic, complemented
168#17985846C2211yescharacteristic, complemented
169#17985846C2211yescharacteristic, complemented
170#17985846C2211yescharacteristic, complemented
171#17985846C2211yescharacteristic, complemented
172C2×C71⋊#95C2211yescharacteristic, complemented
173#95×D71C2211yescharacteristic, complemented
174#95×D71C2211yescharacteristic, complemented
175C2×#123×C71C2211yescharacteristic
176C2×C4×D4×C71C2211yescharacteristic
177C2×#117×C71C2211yescharacteristic, complemented
178#389×C71C2211yescharacteristic, complemented
179#388×C71C2211yescharacteristic, complemented
180#388×C71C2211yescharacteristic, complemented
181#387×C71C2211yescharacteristic, complemented
182#387×C71C2211yescharacteristic, complemented
183#386×C71C2211yescharacteristic
184#385×C71C2211yescharacteristic, complemented
185#385×C71C2211yescharacteristic, complemented
186C4×C4⋊C4×C71C2211yescharacteristic, complemented
187C4×C22⋊C4×C71C2211yescharacteristic, complemented
188C4×C22⋊C4×C71C2211yescharacteristic, complemented
189C2×#95×C71C2211yescharacteristic, complemented
190C24×D71C2311yescharacteristic
191C24×D71C2311yescharacteristic
192C24×D71C2311yescharacteristic
193C22×D284—24no—
194C22×D284—24no—
195C22×D284C2×C418yescomplemented
196C22×D284C2311yescharacteristic
197C22×D284C2311yescharacteristic
198C22×D284C2311yescharacteristic
199C22×D284C2311yescharacteristic
200C22×D284C2311yescharacteristic
201C22×D284C2311yescharacteristic
202C22×D284C2311yescharacteristic
203C22×C22⋊D71C2311yescharacteristic
204C22×C22⋊D71C2311yescharacteristic
205C22×C22⋊D71C2311yescharacteristic
206C22×C22⋊D71C2311yescharacteristic
207C2×D4×D71—24no—
208C2×D4×D71—24no—
209C2×D4×D71C2×C418yescomplemented
210C23×Dic71C2311yescharacteristic
211C23×Dic71C2311yescharacteristic
212C23×Dic71C2311yescharacteristic
213C22×C4×D71—24no—
214C22×C4×D71—24no—
215C22×C4×D71—42no—
216C22×C4×D71—42no—
217C22×C4×D71—42no—
218C22×C4×D71—42no—
219C22×C4×D71C2311yescharacteristic
220C22×C4×D71C2311yescharacteristic
221C22×C4×D71C2311yescharacteristic
222C22×C4×D71C2311yescharacteristic
223C22×C4×D71C2311yescharacteristic
224C22×C4×D71C2311yescharacteristic
225C22×C4×D71C2311yescharacteristic
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
236#14556113C2×C418yescomplemented
237#14556113C2×C418yescomplemented
238#14556111C2×C418yescomplemented
239#14556103C2×C418yescomplemented
240#14556103C2×C418yescomplemented
241#14556101C2×C418yescomplemented
242#14556101C2×C418yescomplemented
243#14556098C2×C418yescomplemented
244#14556098C2×C418yescomplemented
245#14556098C2×C418yescomplemented
246#14556096C2×C418yescomplemented
247C4×D284—24no—
248C4×D284—24no—
249C4×D284—24no—
250C4×D284—24no—
251C4×D284—24no—
252C4×D284—42no—
253D4×Dic71—24no—
254#14556090—24no—
255#14556090—24no—
256#14556090—24no—
257#14556090—24no—
258#14556090—24no—
259#14556090—42no—
260C4×C22⋊D71—24no—
261C4×C22⋊D71—24no—
262C4×C22⋊D71—42no—
263(C22⋊D71)⋊C4—24no—
264(C22⋊D71)⋊C4—24no—
265(C22⋊D71)⋊C4—42no—
266#14556087—24no—
267C2×C4⋊Dic71C2311yescharacteristic
268C2×C4⋊Dic71C2311yescharacteristic
269C2×C4⋊Dic71C2311yescharacteristic
270C2×C4⋊Dic71C2311yescharacteristic
271C2×C4⋊Dic71C2311yescharacteristic
272C2×Dic71⋊C4C2311yescharacteristic
273C2×Dic71⋊C4C2311yescharacteristic
274C2×Dic71⋊C4C2311yescharacteristic
275C2×Dic71⋊C4C2311yescharacteristic
276C2×Dic71⋊C4C2311yescharacteristic
277C2×Dic71⋊C4C2311yescharacteristic
278C2×Dic71⋊C4C2311yescharacteristic
279C2×Dic71⋊C4C2311yescharacteristic
280C4⋊C4×D71—24no—
281C4⋊C4×D71—42no—
282C4⋊C4×D71—42no—
283C2×C22⋊Dic71C2311yescharacteristic
284C2×C22⋊Dic71C2311yescharacteristic
285C2×C22⋊Dic71C2311yescharacteristic
286C2×C22⋊Dic71C2311yescharacteristic
287C2×C22⋊Dic71C2311yescharacteristic
288C2×C22⋊Dic71C2311yescharacteristic
289C2×(C2×D71)⋊C4—24no—
290C2×(C2×D71)⋊C4—42no—
291C2×(C2×D71)⋊C4—42no—
292C2×(C2×D71)⋊C4C2311yescharacteristic
293C2×(C2×D71)⋊C4C2311yescharacteristic
294C2×(C2×D71)⋊C4C2311yescharacteristic
295C2×(C2×D71)⋊C4C2311yescharacteristic
296C2×(C2×D71)⋊C4C2311yescharacteristic
297C2×(C2×D71)⋊C4C2311yescharacteristic
298C2×(C2×D71)⋊C4C2311yescharacteristic
299C2×(C2×D71)⋊C4C2311yescharacteristic
300C2×(C2×D71)⋊C4C2311yescharacteristic
301C2×(C2×D71)⋊C4C2311yescharacteristic
302C2×(C2×D71)⋊C4C2311yescharacteristic
303C2×(C2×D71)⋊C4C2311yescharacteristic
304C2×(C2×D71)⋊C4C2311yescharacteristic
305C2×(C2×D71)⋊C4C2311yescharacteristic
306C2×(C2×D71)⋊C4C2311yescharacteristic
307C2×(C2×D71)⋊C4C2311yescharacteristic
308C2×(C2×D71)⋊C4C2311yescharacteristic
309C2×(C2×D71)⋊C4C2311yescharacteristic
310C2×(C2×D71)⋊C4C2311yescharacteristic
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
326C22⋊C4×D71—24no—
327C22⋊C4×D71—24no—
328C22⋊C4×D71—24no—
329C22⋊C4×D71—24no—
330C22⋊C4×D71C2×C418yescomplemented
331C22⋊C4×D71D418yescomplemented
332C2×C4×Dic71C2311yescharacteristic
333C2×C4×Dic71C2311yescharacteristic
334C2×C4×Dic71C2311yescharacteristic
335C2×C4×Dic71C2311yescharacteristic
336C2×C4×Dic71C2311yescharacteristic
337C2×C4×Dic71C2311yescharacteristic
338C2×C4×Dic71C2311yescharacteristic
339C2×C4×Dic71C2311yescharacteristic
340C2×C4×Dic71C2311yescharacteristic
341C2×C4×Dic71C2311yescharacteristic
342C2×C4×Dic71C2311yescharacteristic
343C42×D71—24no—
344C71⋊#95C2311yescharacteristic
345C71⋊#95C2311yescharacteristic
346C71⋊#95C2311yescharacteristic
347C71⋊#95C2311yescharacteristic
348C71⋊#95C2311yescharacteristic
349C71⋊#95C2311yescharacteristic
350C71⋊#95C2311yescharacteristic
351C71⋊#95C2311yescharacteristic
352C71⋊#95C2311yescharacteristic
353C71⋊#95C2311yescharacteristic
354C71⋊#95C2311yescharacteristic
355C71⋊#95C2311yescharacteristic
356C71⋊#95C2311yescharacteristic
357C71⋊#95C2311yescharacteristic
358C71⋊#95C2311yescharacteristic
359C71⋊#95C2311yescharacteristic
360C71⋊#95C2311yescharacteristic
361C71⋊#95C2311yescharacteristic
362C71⋊#95C2311yescharacteristic
363C71⋊#95C2311yescharacteristic
364C71⋊#95C2311yescharacteristic
365C71⋊#95C2311yescharacteristic
366C22×D4×C71C2311yescharacteristic
367C23×C4×C71C2311yescharacteristic
368C23×C4×C71C2311yescharacteristic
369C23×C4×C71C2311yescharacteristic
370C23×C4×C71C2311yescharacteristic
371#123×C71C2×C418yescomplemented
372C4×D4×C71—24no—
373#117×C71—24no—
374C2×C4⋊C4×C71C2311yescharacteristic
375C2×C4⋊C4×C71C2311yescharacteristic
376C2×C4⋊C4×C71C2311yescharacteristic
377C2×C4⋊C4×C71C2311yescharacteristic
378C2×C4⋊C4×C71C2311yescharacteristic
379C2×C4⋊C4×C71C2311yescharacteristic
380C2×C4⋊C4×C71C2311yescharacteristic
381C2×C22⋊C4×C71C2311yescharacteristic
382C2×C22⋊C4×C71C2311yescharacteristic
383C2×C22⋊C4×C71C2311yescharacteristic
384C2×C22⋊C4×C71C2311yescharacteristic
385C2×C22⋊C4×C71C2311yescharacteristic
386C2×C22⋊C4×C71C2311yescharacteristic
387C2×C22⋊C4×C71C2311yescharacteristic
388C2×C22⋊C4×C71C2311yescharacteristic
389C2×C42×C71C2311yescharacteristic
390C2×C42×C71C2311yescharacteristic
391C2×C42×C71C2311yescharacteristic
392C2×C42×C71C2311yescharacteristic
393C2×C42×C71C2311yescharacteristic
394#95×C71C2311yescharacteristic
395#95×C71C2311yescharacteristic
396#95×C71C2311yescharacteristic
397#95×C71C2311yescharacteristic
398#95×C71C2311yescharacteristic
399#95×C71C2311yescharacteristic
400#95×C71C2311yescharacteristic
401#95×C71C2311yescharacteristic
402#95×C71C2311yescharacteristic
403#95×C71C2311yescharacteristic
404C23×D71—22no—
405C23×D71—22no—
406C23×D71—22no—
407C23×D71—22no—
408C23×D71—41no—
409C23×D71—41no—
410C23×D71—41no—
411C23×D71—41no—
412C23×D71—41no—
413C23×D71—41no—
414C23×D71—41no—
415C23×D71—41no—
416C23×D71—41no—
417C23×D71—41no—
418C23×D71—41no—
419C23×D71—41no—
420C23×D71C22×C414yes—
421C23×D71C22×C414yes—
422C23×D71C22×C414yescomplemented
423C23×D71C2×D414yes—
424C23×D71#4114yes—
425C23×D71C2411yescharacteristic
426C23×D71C2411yescharacteristic
427C23×D71C2411yescharacteristic
428C23×D71C2411yescharacteristic
429C23×D71C2411yescharacteristic
430C2×D284—232no—
431C2×D284—22no—
432C2×D284—22no—
433C2×D284—22no—
434C2×D284—22no—
435C2×D284—22no—
436C2×D284—22no—
437C2×D284—22no—
438C2×D284—22no—
439C2×D284—22no—
440C2×D284—22no—
441C2×D284—41no—
442C2×D284—41no—
443C2×D284—41no—
444C2×D284—41no—
445C2×D284C22×C414yes—
446C2×D284C22×C414yes—
447C2×D284C22×C414yes—
448C2×D284C22×C414yescomplemented
449C2×D284C22×C414yescomplemented
450C2×D284C22×C414yescomplemented
451C2×D284C22×C414yescomplemented
452C2×C22⋊D71—22no—
453C2×C22⋊D71—22no—
454C2×C22⋊D71—22no—
455C2×C22⋊D71—22no—
456C2×C22⋊D71—41no—
457C2×C22⋊D71—41no—
458C2×C22⋊D71—41no—
459C2×C22⋊D71—41no—
460C2×C22⋊D71C22×C414yes—
461C2×C22⋊D71C22×C414yes—
462C2×C22⋊D71C22×C414yescomplemented
463C2×C22⋊D71C22×C414yescomplemented
464D4×D71—232no—
465C22×Dic71—22no—
466C22×Dic71—22no—
467C22×Dic71—22no—
468C22×Dic71—22no—
469C22×Dic71—22no—
470C22×Dic71—41no—
471C22×Dic71—41no—
472C22×Dic71—41no—
473C22×Dic71—41no—
474C22×Dic71C2411yescharacteristic
475C22×Dic71C2411yescharacteristic
476C22×Dic71C2411yescharacteristic
477C22×Dic71C2411yescharacteristic
478C22×Dic71C2411yescharacteristic
479C22×Dic71C2411yescharacteristic
480C22×Dic71C2411yescharacteristic
481C22×Dic71C2411yescharacteristic
482C22×Dic71C2411yescharacteristic
483C22×Dic71C2411yescharacteristic
484C22×Dic71C2411yescharacteristic
485C2×C4×D71—22no—
486C2×C4×D71—22no—
487C2×C4×D71—22no—
488C2×C4×D71—22no—
489C2×C4×D71—22no—
490C2×C4×D71—22no—
491C2×C4×D71—22no—
492C2×C4×D71—22no—
493C2×C4×D71—22no—
494C2×C4×D71—22no—
495C2×C4×D71—22no—
496C2×C4×D71—22no—
497C2×C4×D71—22no—
498C2×C4×D71—22no—
499C2×C4×D71—22no—
500C2×C4×D71—22no—
501C2×C4×D71—22no—
502C2×C4×D71—22no—
503C2×C4×D71—22no—
504C2×C4×D71—22no—
505C2×C4×D71—416no—
506C2×C4×D71—416no—
507C2×C4×D71—41no—
508C2×C4×D71—41no—
509C2×C4×D71—41no—
510C2×C4×D71—41no—
511C2×C4×D71—41no—
512C2×C4×D71—41no—
513C2×C4×D71—41no—
514C2×C4×D71—41no—
515C2×C4×D71—41no—
516C2×C4×D71—41no—
517C2×C4×D71—41no—
518C2×C4×D71—41no—
519C2×C4×D71—41no—
520C2×C4×D71—41no—
521C2×C4×D71—41no—
522C2×C4×D71—41no—
523C2×C4×D71—41no—
524C2×C4×D71—41no—
525C2×C4×D71—41no—
526C2×C4×D71—41no—
527C2×C4×D71—41no—
528C2×C4×D71—41no—
529C2×C4×D71—41no—
530C2×C4×D71—41no—
531C2×C4×D71—41no—
532C2×C4×D71—41no—
533C2×C4×D71C22×C414yes—
534C2×C4×D71C22×C414yescomplemented
535C2×C4×D71C22×C414yescomplemented
536C2×C4×D71C2×D414yes—
537C2×C4×D71C2×D414yes—
538C4⋊Dic71—22no—
539C4⋊Dic71—22no—
540C4⋊Dic71—22no—
541C4⋊Dic71—22no—
542C4⋊Dic71—41no—
543Dic71⋊C4—22no—
544Dic71⋊C4—22no—
545Dic71⋊C4—22no—
546Dic71⋊C4—22no—
547Dic71⋊C4—41no—
548Dic71⋊C4—41no—
549Dic71⋊C4C22×C414yescomplemented
550Dic71⋊C4C22×C414yescomplemented
551C22⋊Dic71—22no—
552C22⋊Dic71—22no—
553C22⋊Dic71—41no—
554C22⋊Dic71—41no—
555C22⋊Dic71C22×C414yescomplemented
556C22⋊Dic71C2×D414yes—
557(C2×D71)⋊C4—22no—
558(C2×D71)⋊C4—22no—
559(C2×D71)⋊C4—22no—
560(C2×D71)⋊C4—22no—
561(C2×D71)⋊C4—22no—
562(C2×D71)⋊C4—22no—
563(C2×D71)⋊C4—22no—
564(C2×D71)⋊C4—22no—
565(C2×D71)⋊C4—22no—
566(C2×D71)⋊C4—22no—
567(C2×D71)⋊C4—22no—
568(C2×D71)⋊C4—22no—
569(C2×D71)⋊C4—22no—
570(C2×D71)⋊C4—22no—
571(C2×D71)⋊C4—22no—
572(C2×D71)⋊C4—22no—
573(C2×D71)⋊C4—41no—
574(C2×D71)⋊C4—41no—
575(C2×D71)⋊C4—41no—
576(C2×D71)⋊C4—41no—
577(C2×D71)⋊C4—41no—
578(C2×D71)⋊C4—41no—
579(C2×D71)⋊C4—41no—
580(C2×D71)⋊C4—41no—
581(C2×D71)⋊C4C22×C414yes—
582(C2×D71)⋊C4C22×C414yes—
583(C2×D71)⋊C4C22×C414yescomplemented
584(C2×D71)⋊C4C22×C414yescomplemented
585(C2×D71)⋊C4C22×C414yescomplemented
586(C2×D71)⋊C4C22×C414yescomplemented
587(C2×D71)⋊C4C22×C414yescomplemented
588(C2×D71)⋊C4C22×C414yescomplemented
589(C2×D71)⋊C4C2×D414yes—
590(C2×D71)⋊C4C2×D414yes—
591C4×Dic71—22no—
592C4×Dic71—22no—
593C4×Dic71—22no—
594C4×Dic71—22no—
595C4×Dic71—22no—
596C4×Dic71—41no—
597C4×Dic71—41no—
598C4×Dic71—41no—
599C4×Dic71—41no—
600C4×Dic71—41no—
601C4×Dic71—41no—
602C24×C71C2411yescharacteristic
603C24×C71C2411yescharacteristic
604C2×D4×C71—22no—
605C2×D4×C71—22no—
606C2×D4×C71C22×C414yes—
607C22×C4×C71—22no—
608C22×C4×C71—22no—
609C22×C4×C71—22no—
610C22×C4×C71—22no—
611C22×C4×C71—22no—
612C22×C4×C71—22no—
613C22×C4×C71—22no—
614C22×C4×C71—41no—
615C22×C4×C71—41no—
616C22×C4×C71—41no—
617C22×C4×C71—41no—
618C22×C4×C71C22×C414yescomplemented
619C22×C4×C71C2411yescharacteristic
620C22×C4×C71C2411yescharacteristic
621C22×C4×C71C2411yescharacteristic
622C22×C4×C71C2411yescharacteristic
623C22×C4×C71C2411yescharacteristic
624C22×C4×C71C2411yescharacteristic
625C22×C4×C71C2411yescharacteristic
626C22×C4×C71C2411yescharacteristic
627C22×C4×C71C2411yescharacteristic
628C22×C4×C71C2411yescharacteristic
629C22×C4×C71C2411yescharacteristic
630C22×C4×C71C2411yescharacteristic
631C22×C4×C71C2411yescharacteristic
632C4⋊C4×C71—22no—
633C4⋊C4×C71—22no—
634C4⋊C4×C71—22no—
635C4⋊C4×C71—22no—
636C4⋊C4×C71—41no—
637C4⋊C4×C71C22×C414yescomplemented
638C4⋊C4×C71C22×C414yescomplemented
639C22⋊C4×C71—22no—
640C22⋊C4×C71—22no—
641C22⋊C4×C71—41no—
642C22⋊C4×C71—41no—
643C22⋊C4×C71C22×C414yescomplemented
644C22⋊C4×C71C22×C414yescomplemented
645C22⋊C4×C71C22×C414yescomplemented
646C22⋊C4×C71C2×D414yes—
647C42×C71—22no—
648C42×C71—22no—
649C42×C71—22no—
650C42×C71—41no—
651C42×C71—41no—
652C23×C71—21no—
653C23×C71—21no—
654C23×C71—21no—
655C23×C71—21no—
656C23×C71—21no—
657C23×C71—21no—
658C23×C71—21no—
659C23×C71—21no—
660C23×C71—21no—
661C23×C71—21no—
662C23×C71C23×C412yes—
663C23×C71C23×C412yes—
664C23×C71C22×D412yes—
665C23×C71C2×#4112yes—
666C23×C71C2511yescharacteristic
667C22×D71—21no—
668C22×D71—21no—
669C22×D71—21no—
670C22×D71—21no—
671C22×D71—21no—
672C22×D71—21no—
673C22×D71—21no—
674C22×D71—21no—
675C22×D71—21no—
676C22×D71—21no—
677C22×D71—21no—
678C22×D71—21no—
679C22×D71—21no—
680C22×D71—21no—
681C22×D71—21no—
682C22×D71—21no—
683C22×D71—21no—
684C22×D71—21no—
685C22×D71—21no—
686C22×D71—21no—
687C22×D71—21no—
688C22×D71—21no—
689C22×D71—21no—
690C22×D71—21no—
691C22×D71—21no—
692C22×D71—21no—
693C22×D71—28no—
694C22×D71—28no—
695C22×D71—44no—
696C22×D71—44no—
697C22×D71—44no—
698C22×D71—44no—
699C22×D71—44no—
700C22×D71—44no—
701C22×D71—44no—
702C22×D71—44no—
703C22×D71—44no—
704C22×D71—44no—
705C22×D71—44no—
706C22×D71—44no—
707C22×D71—44no—
708C22×D71—44no—
709C22×D71—82no—
710C22×D71—82no—
711C22×D71—82no—
712C22×D71—82no—
713C22×D71C4×D4116yescomplemented
714C22×D71C23×C412yes—
715C22×D71C23×C412yes—
716C22×D71C23×C412yes—
717C22×D71C23×C412yes—
718C22×D71C23×C412yes—
719C22×D71C22×D412yes—
720C22×D71C22×D412yes—
721C22×D71C2×#4112yes—
722C22×D71C2×#4112yes—
723D4×C71—28no—
724C2×C4×C71—28no—
725C2×C4×C71—21no—
726C2×C4×C71—21no—
727C2×C4×C71—21no—
728C2×C4×C71—21no—
729C2×C4×C71—21no—
730C2×C4×C71—21no—
731C2×C4×C71—21no—
732C2×C4×C71—21no—
733C2×C4×C71—21no—
734C2×C4×C71—21no—
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—21no—
746C2×C4×C71—21no—
747C2×C4×C71—21no—
748C2×C4×C71—21no—
749C2×C4×C71—21no—
750C2×C4×C71—21no—
751C2×C4×C71—21no—
752C2×C4×C71—21no—
753C2×C4×C71—21no—
754C2×C4×C71—21no—
755C2×C4×C71—21no—
756C2×C4×C71—44no—
757C2×C4×C71—44no—
758C2×C4×C71—82no—
759C2×C4×C71C23×C412yes—
760C2×C4×C71C23×C412yes—
761C2×C4×C71C23×C412yes—
762C2×C4×C71C23×C412yes—
763C2×C4×C71C23×C412yes—
764C2×C4×C71C22×D412yes—
765C2×C4×C71C22×D412yes—
766C2×C4×C71H(5,𝔽2)12yes—
767C22⋊D71—28no—
768C22⋊D71—28no—
769C22⋊D71—44no—
770C22⋊D71—44no—
771C2×Dic71—21no—
772C2×Dic71—21no—
773C2×Dic71—21no—
774C2×Dic71—21no—
775C2×Dic71—21no—
776C2×Dic71—21no—
777C2×Dic71—21no—
778C2×Dic71—21no—
779C2×Dic71—21no—
780C2×Dic71—21no—
781C2×Dic71—21no—
782C2×Dic71—21no—
783C2×Dic71—21no—
784C2×Dic71—21no—
785C2×Dic71—21no—
786C2×Dic71—21no—
787C2×Dic71—21no—
788C2×Dic71—21no—
789C2×Dic71—21no—
790C2×Dic71—21no—
791C2×Dic71—21no—
792C2×Dic71—21no—
793C2×Dic71—21no—
794C2×Dic71—21no—
795C2×Dic71—21no—
796C2×Dic71—21no—
797C2×Dic71—21no—
798C2×Dic71—44no—
799C2×Dic71—44no—
800C2×Dic71—82no—
801C2×Dic71C23×C412yes—
802C2×Dic71C23×C412yes—
803C2×Dic71C23×C412yes—
804C2×Dic71C22×D412yes—
805C2×Dic71C22×D412yes—
806C2×Dic71H(5,𝔽2)12yes—
807D284—28no—
808D284—28no—
809D284—28no—
810D284—28no—
811D284—28no—
812D284—44no—
813D284—44no—
814C4×D71—28no—
815C4×D71—28no—
816C4×D71—44no—
817C4×D71—44no—
818C4×D71—44no—
819C4×D71—44no—
820C4×D71—44no—
821C4×D71—44no—
822C4×D71—44no—
823C4×D71—44no—
824C4×D71—44no—
825C4×D71—82no—
826C4×D71—82no—
827C4×D71—82no—
828C4×D71—82no—
829C4×D71—82no—
830C4×D71—82no—
831C22×C71—22no—
832C22×C71—22no—
833C22×C71—22no—
834C22×C71—22no—
835C22×C71—22no—
836C22×C71—22no—
837C22×C71—22no—
838C22×C71—22no—
839C22×C71—22no—
840C22×C71—41no—
841C22×C71—41no—
842C22×C71—41no—
843C22×C71—41no—
844C22×C71C2×C4×D414yes—
845C22×C71C24×C411yescharacteristic
846C22×C71C23×D411yescharacteristic
847C22×C71C22×#4111yescharacteristic
848C22×C71C2×H(5,𝔽2)11yescharacteristic
849C22×C71C2×H(5,𝔽2)11yescharacteristic
850C22×C71#58511yescharacteristic
851C22×C71#58511yescharacteristic
852C2×D71—22no—
853C2×D71—22no—
854C2×D71—22no—
855C2×D71—22no—
856C2×D71—22no—
857C2×D71—22no—
858C2×D71—22no—
859C2×D71—22no—
860C2×D71—22no—
861C2×D71—22no—
862C2×D71—22no—
863C2×D71—22no—
864C2×D71—22no—
865C2×D71—22no—
866C2×D71—22no—
867C2×D71—22no—
868C2×D71—22no—
869C2×D71—22no—
870C2×D71—22no—
871C2×D71—22no—
872C2×D71—22no—
873C2×D71—416no—
874C2×D71—416no—
875C2×D71—41no—
876C2×D71—41no—
877C2×D71—41no—
878C2×D71—41no—
879C2×D71—41no—
880C2×D71—41no—
881C2×D71—41no—
882C2×D71—41no—
883C2×D71—41no—
884C2×D71—41no—
885C2×D71—41no—
886C2×D71—41no—
887C2×D71—88no—
888C2×D71C2×C4×D414yes—
889C2×D71C2×C4×D414yes—
890C4×C71—22no—
891C4×C71—22no—
892C4×C71—22no—
893C4×C71—22no—
894C4×C71—22no—
895C4×C71—22no—
896C4×C71—22no—
897C4×C71—22no—
898C4×C71—41no—
899C4×C71—41no—
900C4×C71—41no—
901C4×C71—41no—
902C4×C71—41no—
903Dic71—22no—
904Dic71—22no—
905Dic71—22no—
906Dic71—22no—
907Dic71—22no—
908Dic71—22no—
909Dic71—41no—
910Dic71—41no—
911Dic71—41no—
912Dic71—41no—
913Dic71—41no—
914#34264—711nomaximal, Sylow
915C2×C71—24no—
916C2×C71—42no—
917C2×C71C22×C4×D411yescharacteristic
918C2×C71C4×H(5,𝔽2)11yescharacteristic
919C2×C71C4×H(5,𝔽2)11yescharacteristic
920C2×C71#348411yescharacteristic
921C2×C71#348511yescharacteristic
922C2×C71#350511yescharacteristic
923C2×C71#350511yescharacteristic
924D71—24no—
925D71—24no—
926D71—42no—
927D71—42no—
928D71—42no—
929C2×#534—711no—
930C2×#518—711no—
931C22×C4×D4—711no—
932#2364—711no—
933#2364—711no—
934#2364—711no—
935#2364—711no—
936#2361—711no—
937#2361—711no—
938#2361—711no—
939#2361—711no—
940#2359—711no—
941#2359—711no—
942#2359—711no—
943#2359D7111yescharacteristic, complemented
944#2358—711no—
945#2358—711no—
946#2358—711no—
947#2358—711no—
948#2322—711no—
949#2322—711no—
950#2321—711no—
951#2321—711no—
952#2308—711no—
953C4×#123—711no—
954C4×#123—711no—
955C4×#120—711no—
956C4×#120—711no—
957C2×#386—711no—
958C2×#385—711no—
959#2273—711no—
960C71#3426411yescharacteristic, complemented, Sylow
961C23×D4—711no—
962C23×D4—711no—
963C24×C4—711no—
964C24×C4—711no—
965#534—7116no—
966C2×#123—711no—
967C2×#123—711no—
968C2×#123—711no—
969C2×#123C2×D7111yescharacteristic
970C2×#121—711no—
971C2×#121—711no—
972C2×#121—711no—
973C2×#121—711no—
974C2×#120—711no—
975C2×#120—711no—
976C2×#120—711no—
977C2×#120—711no—
978#518—1428no—
979C2×C4×D4—711no—
980C2×C4×D4—711no—
981C2×C4×D4—711no—
982C2×C4×D4—711no—
983C2×C4×D4—711no—
984C2×C4×D4—711no—
985C2×C4×D4—711no—
986C2×C4×D4—711no—
987C2×C4×D4—711no—
988C2×C4×D4—711no—
989C2×C4×D4—711no—
990C2×C4×D4—711no—
991C2×C4×D4—711no—
992C2×C4×D4—711no—
993C2×C4×D4—711no—
994C2×C4×D4—711no—
995C2×C4×D4—711no—
996C2×C4×D4—711no—
997C2×C4×D4—711no—
998C2×C4×D4—1428no—
999C2×C4×D4C2×D7111yescharacteristic
1000C2×#117—711no—
1001C2×#117C2×D7111yescharacteristic, complemented
1002C22×C4⋊C4—711no—
1003C22×C4⋊C4—711no—
1004C22×C4⋊C4—711no—
1005C22×C22⋊C4—711no—
1006C22×C22⋊C4—711no—
1007C22×C22⋊C4—711no—
1008C22×C22⋊C4—711no—
1009C22×C22⋊C4—711no—
1010C22×C22⋊C4—711no—
1011C22×C22⋊C4—711no—
1012C22×C22⋊C4—711no—
1013C22×C22⋊C4—711no—
1014C22×C42—711no—
1015#390—711no—
1016#390—711no—
1017#390—711no—
1018#390—711no—
1019#389—711no—
1020#389—711no—
1021#389—711no—
1022#389C2×D7111yescharacteristic, complemented
1023#388—711no—
1024#388—711no—
1025#388—711no—
1026#388—711no—
1027#388—711no—
1028#388—711no—
1029#388—711no—
1030#388—711no—
1031#388—711no—
1032#388—711no—
1033#388—711no—
1034#388—711no—
1035#388—711no—
1036#388—711no—
1037#388C2×D7111yescharacteristic, complemented
1038#388C2×D7111yescharacteristic, complemented
1039#387—711no—
1040#387—711no—
1041#387—711no—
1042#387—711no—
1043#387—711no—
1044#387—711no—
1045#387C2×D7111yescharacteristic, complemented
1046#387C2×D7111yescharacteristic, complemented
1047#386—711no—
1048#386—711no—
1049#386—711no—
1050#386—711no—
1051#386—711no—
1052#386—711no—
1053#386—711no—
1054#386—711no—
1055#386—711no—
1056#386—711no—
1057#386—711no—
1058#386—711no—
1059#386—711no—
1060#386—711no—
1061#386—711no—
1062#386—711no—
1063#386—711no—
1064#386—711no—
1065#386—711no—
1066#386—711no—
1067#386—711no—
1068#386—711no—
1069#386—711no—
1070#386C2×D7111yescharacteristic
1071#385—711no—
1072#385—711no—
1073#385—711no—
1074#385—711no—
1075#385—711no—
1076#385—711no—
1077#385—711no—
1078#385—711no—
1079#385—711no—
1080#385—711no—
1081#385—711no—
1082#385—711no—
1083#385—711no—
1084#385—711no—
1085#385C2×D7111yescharacteristic, complemented
1086#385C2×D7111yescharacteristic, complemented
1087#381—711no—
1088#381—711no—
1089#379—711no—
1090#379—711no—
1091C4×C4⋊C4—711no—
1092C4×C4⋊C4—711no—
1093C4×C4⋊C4—711no—
1094C4×C4⋊C4C2×D7111yescharacteristic, complemented
1095C4×C22⋊C4—711no—
1096C4×C22⋊C4—711no—
1097C4×C22⋊C4—711no—
1098C4×C22⋊C4—711no—
1099C4×C22⋊C4—711no—
1100C4×C22⋊C4—711no—
1101C4×C22⋊C4—711no—
1102C4×C22⋊C4—711no—
1103C4×C22⋊C4—711no—
1104C4×C22⋊C4—711no—
1105C4×C22⋊C4—711no—
1106C4×C22⋊C4—711no—
1107C4×C22⋊C4—711no—
1108C4×C22⋊C4—711no—
1109C4×C22⋊C4—711no—
1110C4×C22⋊C4—711no—
1111C4×C22⋊C4—711no—
1112C4×C22⋊C4—711no—
1113C4×C22⋊C4C2×D7111yescharacteristic, complemented
1114C4×C22⋊C4C2×D7111yescharacteristic, complemented
1115C2×#95—711no—
1116C2×#95—711no—
1117C2×#95—711no—
1118C2×#95C2×D7111yescharacteristic, complemented
1119C25—711no—
1120C25—711no—
1121C25—711no—
1122C22×D4—711no—
1123C22×D4—711no—
1124C22×D4—711no—
1125C22×D4—711no—
1126C22×D4—718no—
1127C22×D4—718no—
1128C22×D4—711no—
1129C22×D4—711no—
1130C22×D4—711no—
1131C22×D4—711no—
1132C22×D4—711no—
1133C22×D4—711no—
1134C22×D4—711no—
1135C22×D4—1424no—
1136C22×D4—1424no—
1137C22×D4—1424no—
1138C22×D4—1424no—
1139C22×D4C22×D7111yescharacteristic
1140C23×C4—2842no—
1141C23×C4—2842no—
1142C23×C4—2842no—
1143C23×C4—2842no—
1144C23×C4—711no—
1145C23×C4—711no—
1146C23×C4—711no—
1147C23×C4—711no—
1148C23×C4—711no—
1149C23×C4—711no—
1150C23×C4—711no—
1151C23×C4—711no—
1152C23×C4—711no—
1153C23×C4—711no—
1154C23×C4—711no—
1155C23×C4—711no—
1156C23×C4—711no—
1157C23×C4—711no—
1158C23×C4—711no—
1159C23×C4—711no—
1160C23×C4—711no—
1161C23×C4—711no—
1162C23×C4—711no—
1163C23×C4—711no—
1164C23×C4—1424no—
1165C23×C4—1424no—
1166C23×C4C22×D7111yescharacteristic
1167C23×C4C22×D7111yescharacteristic
1168C23×C4C22×D7111yescharacteristic
1169C23×C4C22×D7111yescharacteristic
1170#123—718no—
1171#123—718no—
1172#123—718no—
1173#123C4×D7118yescomplemented
1174#121—718no—
1175#121—718no—
1176#121—718no—
1177#121—718no—
1178#120—718no—
1179#120—718no—
1180#120—718no—
1181#120—718no—
1182C4×D4—24no—
1183C4×D4—2842no—
1184C4×D4—2842no—
1185C4×D4—2842no—
1186C4×D4—2842no—
1187C4×D4—1424no—
1188C4×D4—1424no—
1189C4×D4—1424no—
1190C4×D4—1424no—
1191C4×D4—1424no—
1192C4×D4—1424no—
1193C4×D4—1424no—
1194C4×D4—1424no—
1195C4×D4—1424no—
1196C4×D4—1424no—
1197C4×D4—1424no—
1198C4×D4—1424no—
1199C4×D4—1424no—
1200C4×D4—1424no—
1201C4×D4—1424no—
1202#117—24no—
1203#117—1424no—
1204C2×C4⋊C4—2842no—
1205C2×C4⋊C4—2842no—
1206C2×C4⋊C4—711no—
1207C2×C4⋊C4—711no—
1208C2×C4⋊C4—711no—
1209C2×C4⋊C4—711no—
1210C2×C4⋊C4—711no—
1211C2×C4⋊C4—711no—
1212C2×C4⋊C4—711no—
1213C2×C4⋊C4—711no—
1214C2×C4⋊C4—711no—
1215C2×C4⋊C4—711no—
1216C2×C4⋊C4—711no—
1217C2×C4⋊C4—711no—
1218C2×C4⋊C4—711no—
1219C2×C4⋊C4—1424no—
1220C2×C4⋊C4C22×D7111yescharacteristic
1221C2×C4⋊C4C22×D7111yescharacteristic
1222C2×C4⋊C4C22×D7111yescharacteristic
1223C2×C4⋊C4C22×D7111yescharacteristic
1224C2×C4⋊C4C22×D7111yescharacteristic
1225C2×C4⋊C4C22×D7111yescharacteristic
1226C2×C4⋊C4C22×D7111yescharacteristic
1227C2×C22⋊C4—2842no—
1228C2×C22⋊C4—2842no—
1229C2×C22⋊C4—711no—
1230C2×C22⋊C4—711no—
1231C2×C22⋊C4—711no—
1232C2×C22⋊C4—711no—
1233C2×C22⋊C4—711no—
1234C2×C22⋊C4—711no—
1235C2×C22⋊C4—711no—
1236C2×C22⋊C4—711no—
1237C2×C22⋊C4—711no—
1238C2×C22⋊C4—711no—
1239C2×C22⋊C4—711no—
1240C2×C22⋊C4—711no—
1241C2×C22⋊C4—711no—
1242C2×C22⋊C4—711no—
1243C2×C22⋊C4—711no—
1244C2×C22⋊C4—711no—
1245C2×C22⋊C4—711no—
1246C2×C22⋊C4—711no—
1247C2×C22⋊C4—711no—
1248C2×C22⋊C4—711no—
1249C2×C22⋊C4—711no—
1250C2×C22⋊C4—711no—
1251C2×C22⋊C4—718no—
1252C2×C22⋊C4—718no—
1253C2×C22⋊C4—711no—
1254C2×C22⋊C4—711no—
1255C2×C22⋊C4—711no—
1256C2×C22⋊C4—711no—
1257C2×C22⋊C4—711no—
1258C2×C22⋊C4—711no—
1259C2×C22⋊C4—711no—
1260C2×C22⋊C4—711no—
1261C2×C22⋊C4—711no—
1262C2×C22⋊C4—711no—
1263C2×C22⋊C4—711no—
1264C2×C22⋊C4—711no—
1265C2×C22⋊C4—711no—
1266C2×C22⋊C4—711no—
1267C2×C22⋊C4—711no—
1268C2×C22⋊C4—711no—
1269C2×C22⋊C4—711no—
1270C2×C22⋊C4—711no—
1271C2×C22⋊C4—1424no—
1272C2×C22⋊C4—1424no—
1273C2×C22⋊C4—1424no—
1274C2×C22⋊C4—1424no—
1275C2×C22⋊C4—1424no—
1276C2×C22⋊C4C22×D7111yescharacteristic
1277C2×C22⋊C4C22×D7111yescharacteristic
1278C2×C22⋊C4C22×D7111yescharacteristic
1279C2×C22⋊C4C22×D7111yescharacteristic
1280C2×C22⋊C4C22×D7111yescharacteristic
1281C2×C22⋊C4C22×D7111yescharacteristic
1282C2×C22⋊C4C22×D7111yescharacteristic
1283C2×C22⋊C4C22×D7111yescharacteristic
1284C2×C42—711no—
1285C2×C42—711no—
1286C2×C42—711no—
1287C2×C42—711no—
1288C2×C42—711no—
1289C2×C42—711no—
1290C2×C42—711no—
1291C2×C42—711no—
1292C2×C42—711no—
1293C2×C42—711no—
1294C2×C42—711no—
1295C2×C42—1424no—
1296C2×C42C22×D7111yescharacteristic
1297C2×C42C22×D7111yescharacteristic
1298C2×C42C22×D7111yescharacteristic
1299C2×C42C22×D7111yescharacteristic
1300C2×C42C22×D7111yescharacteristic
1301#95—711no—
1302#95—711no—
1303#95—711no—
1304#95—711no—
1305#95—711no—
1306#95—711no—
1307#95—711no—
1308#95—711no—
1309#95—711no—
1310#95—711no—
1311#95—711no—
1312#95—711no—
1313#95—711no—
1314#95—711no—
1315#95—711no—
1316#95—711no—
1317#95—711no—
1318#95—711no—
1319#95—711no—
1320#95—711no—
1321#95—711no—
1322#95—711no—
1323#95C22×D7111yescharacteristic
1324#95C22×D7111yescharacteristic
1325#95C22×D7111yescharacteristic
1326#95C22×D7111yescharacteristic
1327#95C22×D7111yescharacteristic
1328#95C22×D7111yescharacteristic
1329#95C22×D7111yescharacteristic
1330#95C22×D7111yescharacteristic
1331#95C22×D7111yescharacteristic
1332#95C22×D7111yescharacteristic
1333C24—2841no—
1334C24—2841no—
1335C24—2841no—
1336C24—2841no—
1337C24—2841no—
1338C24—2841no—
1339C24—2841no—
1340C24—2841no—
1341C24—2841no—
1342C24—2841no—
1343C24—2841no—
1344C24—2841no—
1345C24—714no—
1346C24—714no—
1347C24—714no—
1348C24—714no—
1349C24—714no—
1350C24—711no—
1351C24—711no—
1352C24—711no—
1353C24—711no—
1354C24—711no—
1355C24—1422no—
1356C24—1422no—
1357C24—1422no—
1358C24—1422no—
1359C24C23×D7111yescharacteristic
1360C24C23×D7111yescharacteristic
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—2841no—
1364C2×D4—2841no—
1365C2×D4—2841no—
1366C2×D4—2841no—
1367C2×D4—2841no—
1368C2×D4—2841no—
1369C2×D4—2841no—
1370C2×D4—2841no—
1371C2×D4—714no—
1372C2×D4—714no—
1373C2×D4—714no—
1374C2×D4—714no—
1375C2×D4—714no—
1376C2×D4—714no—
1377C2×D4—714no—
1378C2×D4—714no—
1379C2×D4—714no—
1380C2×D4—714no—
1381C2×D4—714no—
1382C2×D4—1422no—
1383C2×D4—1422no—
1384C2×D4—1422no—
1385C2×D4—1422no—
1386C2×D4—1422no—
1387C2×D4—1422no—
1388C2×D4—1422no—
1389C2×D4—1422no—
1390C2×D4—1422no—
1391C2×D4—1422no—
1392C2×D4—14232no—
1393C2×D4—14232no—
1394C2×D4—1422no—
1395C2×D4—1422no—
1396C2×D4—1422no—
1397C2×D4—1422no—
1398C2×D4C2×C4×D7114yes—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—2841no—
1411C22×C4—2841no—
1412C22×C4—2841no—
1413C22×C4—2841no—
1414C22×C4—2841no—
1415C22×C4—2841no—
1416C22×C4—2841no—
1417C22×C4—2841no—
1418C22×C4—2841no—
1419C22×C4—2841no—
1420C22×C4—2841no—
1421C22×C4—2841no—
1422C22×C4—2841no—
1423C22×C4—2841no—
1424C22×C4—2841no—
1425C22×C4—2841no—
1426C22×C4—2841no—
1427C22×C4—2841no—
1428C22×C4—2841no—
1429C22×C4—2841no—
1430C22×C4—2841no—
1431C22×C4—2841no—
1432C22×C4—2841no—
1433C22×C4—2841no—
1434C22×C4—2841no—
1435C22×C4—2841no—
1436C22×C4—28416no—
1437C22×C4—28416no—
1438C22×C4—2841no—
1439C22×C4—2841no—
1440C22×C4—2841no—
1441C22×C4—2841no—
1442C22×C4—714no—
1443C22×C4—714no—
1444C22×C4—714no—
1445C22×C4—714no—
1446C22×C4—711no—
1447C22×C4—711no—
1448C22×C4—711no—
1449C22×C4—711no—
1450C22×C4—711no—
1451C22×C4—711no—
1452C22×C4—714no—
1453C22×C4—711no—
1454C22×C4—711no—
1455C22×C4—711no—
1456C22×C4—711no—
1457C22×C4—711no—
1458C22×C4—1422no—
1459C22×C4—1422no—
1460C22×C4—1422no—
1461C22×C4—1422no—
1462C22×C4—1422no—
1463C22×C4—1422no—
1464C22×C4—1422no—
1465C22×C4—1422no—
1466C22×C4—1422no—
1467C22×C4—1422no—
1468C22×C4—1422no—
1469C22×C4—1422no—
1470C22×C4—1422no—
1471C22×C4—1422no—
1472C22×C4—1422no—
1473C22×C4—1422no—
1474C22×C4—1422no—
1475C22×C4—1422no—
1476C22×C4—1422no—
1477C22×C4—1422no—
1478C22×C4—1422no—
1479C22×C4—1422no—
1480C22×C4—1422no—
1481C22×C4—1422no—
1482C22×C4—1422no—
1483C22×C4C2×C4×D7114yescomplemented
1484C22×C4C23×D7111yescharacteristic
1485C22×C4C23×D7111yescharacteristic
1486C22×C4C23×D7111yescharacteristic
1487C22×C4C23×D7111yescharacteristic
1488C22×C4C23×D7111yescharacteristic
1489C22×C4C23×D7111yescharacteristic
1490C22×C4C23×D7111yescharacteristic
1491C22×C4C23×D7111yescharacteristic
1492C22×C4C23×D7111yescharacteristic
1493C22×C4C23×D7111yescharacteristic
1494C22×C4C23×D7111yescharacteristic
1495C22×C4C23×D7111yescharacteristic
1496C22×C4C23×D7111yescharacteristic
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—41no—
1502C4⋊C4—2841no—
1503C4⋊C4—2841no—
1504C4⋊C4—2841no—
1505C4⋊C4—714no—
1506C4⋊C4—714no—
1507C4⋊C4—1422no—
1508C4⋊C4—1422no—
1509C4⋊C4—1422no—
1510C4⋊C4—1422no—
1511C4⋊C4—1422no—
1512C4⋊C4—1422no—
1513C4⋊C4—1422no—
1514C4⋊C4—1422no—
1515C4⋊C4C2×C4×D7114yescomplemented
1516C4⋊C4C2×C4×D7114yescomplemented
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—2841no—
1522C22⋊C4—2841no—
1523C22⋊C4—2841no—
1524C22⋊C4—2841no—
1525C22⋊C4—2841no—
1526C22⋊C4—2841no—
1527C22⋊C4—2841no—
1528C22⋊C4—2841no—
1529C22⋊C4—2841no—
1530C22⋊C4—2841no—
1531C22⋊C4—714no—
1532C22⋊C4—714no—
1533C22⋊C4—714no—
1534C22⋊C4—714no—
1535C22⋊C4—714no—
1536C22⋊C4—714no—
1537C22⋊C4—714no—
1538C22⋊C4—714no—
1539C22⋊C4—714no—
1540C22⋊C4—714no—
1541C22⋊C4—714no—
1542C22⋊C4—714no—
1543C22⋊C4—1422no—
1544C22⋊C4—1422no—
1545C22⋊C4—1422no—
1546C22⋊C4—1422no—
1547C22⋊C4—1422no—
1548C22⋊C4—1422no—
1549C22⋊C4—1422no—
1550C22⋊C4—1422no—
1551C22⋊C4—1422no—
1552C22⋊C4—1422no—
1553C22⋊C4—1422no—
1554C22⋊C4—1422no—
1555C22⋊C4—1422no—
1556C22⋊C4—1422no—
1557C22⋊C4—1422no—
1558C22⋊C4—1422no—
1559C22⋊C4—1422no—
1560C22⋊C4—1422no—
1561C22⋊C4C2×C4×D7114yescomplemented
1562C22⋊C4C2×C4×D7114yescomplemented
1563C22⋊C4C2×C4×D7114yescomplemented
1564C22⋊C4D4×D7114yes—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—41no—
1569C42—41no—
1570C42—2841no—
1571C42—2841no—
1572C42—2841no—
1573C42—2841no—
1574C42—2841no—
1575C42—2841no—
1576C42—1422no—
1577C42—1422no—
1578C42—1422no—
1579C42—1422no—
1580C42—1422no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—2844no—
1592C23—2844no—
1593C23—2844no—
1594C23—2844no—
1595C23—2844no—
1596C23—2844no—
1597C23—2844no—
1598C23—2844no—
1599C23—2844no—
1600C23—2844no—
1601C23—2844no—
1602C23—2844no—
1603C23—2844no—
1604C23—2844no—
1605C23—5682no—
1606C23—5682no—
1607C23—5682no—
1608C23—5682no—
1609C23—7116no—
1610C23—712no—
1611C23—712no—
1612C23—712no—
1613C23—712no—
1614C23—712no—
1615C23—712no—
1616C23—712no—
1617C23—712no—
1618C23—712no—
1619C23—1428no—
1620C23—1421no—
1621C23—1421no—
1622C23—1421no—
1623C23—1421no—
1624C23—1421no—
1625C23—1421no—
1626C23—1421no—
1627C23—1421no—
1628C23—1421no—
1629C23—1421no—
1630C23—1421no—
1631C23—1421no—
1632C23—1421no—
1633C23—1421no—
1634C23—1421no—
1635C23—1421no—
1636C23—1421no—
1637C23—1421no—
1638C23—1428no—
1639C23—1421no—
1640C23—1421no—
1641C23—1421no—
1642C23—1421no—
1643C23—1421no—
1644C23—1421no—
1645C23—1421no—
1646C23—1421no—
1647C23C22×C4×D7112yes—
1648C23C22×C4×D7112yes—
1649C23C2×D4×D7112yes—
1650C23#41×D7112yes—
1651C23C24×D7111yescharacteristic
1652D4—28no—
1653D4—2844no—
1654D4—2844no—
1655D4—2844no—
1656D4—2844no—
1657D4—1428no—
1658D4—1428no—
1659D4—1428no—
1660D4—1428no—
1661D4—1428no—
1662D4—1428no—
1663D4—1428no—
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—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—28no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—44no—
1697C2×C4—44no—
1698C2×C4—82no—
1699C2×C4—2844no—
1700C2×C4—2844no—
1701C2×C4—2844no—
1702C2×C4—2844no—
1703C2×C4—2844no—
1704C2×C4—2844no—
1705C2×C4—2844no—
1706C2×C4—2844no—
1707C2×C4—2844no—
1708C2×C4—2844no—
1709C2×C4—2844no—
1710C2×C4—5682no—
1711C2×C4—5682no—
1712C2×C4—5682no—
1713C2×C4—5682no—
1714C2×C4—5682no—
1715C2×C4—5682no—
1716C2×C4—5682no—
1717C2×C4—712no—
1718C2×C4—712no—
1719C2×C4—712no—
1720C2×C4—712no—
1721C2×C4—712no—
1722C2×C4—712no—
1723C2×C4—1428no—
1724C2×C4—1428no—
1725C2×C4—1421no—
1726C2×C4—1421no—
1727C2×C4—1421no—
1728C2×C4—1421no—
1729C2×C4—1421no—
1730C2×C4—1421no—
1731C2×C4—1421no—
1732C2×C4—1421no—
1733C2×C4—1421no—
1734C2×C4—1421no—
1735C2×C4—1421no—
1736C2×C4—1421no—
1737C2×C4—1421no—
1738C2×C4—1421no—
1739C2×C4—1421no—
1740C2×C4—1421no—
1741C2×C4—1421no—
1742C2×C4—1421no—
1743C2×C4—1421no—
1744C2×C4—1421no—
1745C2×C4—1421no—
1746C2×C4—1421no—
1747C2×C4—1421no—
1748C2×C4—1421no—
1749C2×C4—1421no—
1750C2×C4—1421no—
1751C2×C4—1421no—
1752C2×C4C22×C4×D7112yes—
1753C2×C4C22×C4×D7112yes—
1754C2×C4C22×C4×D7112yes—
1755C2×C4C22×C4×D7112yes—
1756C2×C4C22×C4×D7112yes—
1757C2×C4C2×D4×D7112yes—
1758C2×C4C2×D4×D7112yes—
1759C2×C4#1455617412yes—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—28416no—
1774C22—28416no—
1775C22—2841no—
1776C22—2841no—
1777C22—2841no—
1778C22—2841no—
1779C22—2841no—
1780C22—2841no—
1781C22—2841no—
1782C22—2841no—
1783C22—2841no—
1784C22—2841no—
1785C22—2841no—
1786C22—2841no—
1787C22—5688no—
1788C22—714no—
1789C22—714no—
1790C22—1422no—
1791C22—1422no—
1792C22—1422no—
1793C22—1422no—
1794C22—1422no—
1795C22—1422no—
1796C22—1422no—
1797C22—1422no—
1798C22—1422no—
1799C22—1422no—
1800C22—1422no—
1801C22—1422no—
1802C22—1422no—
1803C22—1422no—
1804C22—1422no—
1805C22—1422no—
1806C22—1422no—
1807C22—1422no—
1808C22—1422no—
1809C22—1422no—
1810C22—1422no—
1811C22C4×D4×D7114yes—
1812C22C23×C4×D7111yescharacteristic
1813C22C22×D4×D7111yescharacteristic
1814C22C2×#41×D7111yescharacteristic
1815C22H(5,𝔽2)×D7111yescharacteristic
1816C22C2×#1455617411yescharacteristic
1817C22#1798683511yescharacteristic
1818C22#1798683611yescharacteristic
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—22no—
1823C4—22no—
1824C4—22no—
1825C4—22no—
1826C4—22no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—2841no—
1833C4—2841no—
1834C4—2841no—
1835C4—2841no—
1836C4—2841no—
1837C4—1422no—
1838C4—1422no—
1839C4—1422no—
1840C4—1422no—
1841C4—1422no—
1842C4—1422no—
1843C2—24no—
1844C2—42no—
1845C2—2842no—
1846C2—2842no—
1847C2—2842no—
1848C2—1424no—
1849C2—1424no—
1850C2C2×C4×D4×D7111yescharacteristic
1851C2#2260154611yescharacteristic
1852C2C4×#1455617411yescharacteristic
1853C2#2260197011yescharacteristic
1854C2#2260197911yescharacteristic
1855C2#2260217111yescharacteristic
1856C2#2260218011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D71
commutatorC22×C71C24×C4
FittingC71×#2359C2
socle, cosocleC23×C71C25
prime radicalC2×#17986560C2
hypercenter#2359D71
hypocenterC71#34264
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
2. C2×#17986473C2semidirect
3. C2×C4×D4×D71C2semidirect
4. #22591391C2semidirect
5. #22591386C2semidirect
6. #22591386C2semidirect
7. #22591384C2semidirect
8. #22591359C2semidirect
9. #22591358C2semidirect
10. #22591355C2semidirect
11. #22591353C2semidirect
12. #22591336C2semidirect
13. #22591332C2semidirect
14. #22591328C2semidirect
15. #22591322C2semidirect
16. #22591320C2semidirect
17. #22591317C2semidirect
18. #22591316C2semidirect
19. #22591013C2semidirect
20. #22591004C2semidirect
21. #22591002C2semidirect
22. #22590993C2semidirect
23. #22590914C2semidirect
24. C4×#14556113C2semidirect
25. #22590861C2semidirect
26. C4×#14556098C2semidirect
27. #22590841C2semidirect
28. C2×#17985877C2semidirect
29. #385×D71C2semidirect
30. #22590692C2semidirect
31. C71×#2359C2semidirect
35. C23×C4×D71C22semidirect
36. #17986560C4semidirect
51. C2×C4×D284C22semidirect
52. C2×C4×D284C22semidirect
53. C2×C4×D284C22semidirect
54. C2×C4×D284C22semidirect
58. C2×#14556090C22semidirect
59. C2×#14556090C22semidirect
60. C2×#14556090C22semidirect
61. C2×#14556090C22semidirect
63. C2×C4×C22⋊D71C22semidirect
64. C2×C4×C22⋊D71C22semidirect
66. C2×(C22⋊D71)⋊C4C22semidirect
67. C2×(C22⋊D71)⋊C4C22semidirect
69. C2×#14556087C22semidirect
70. C2×C4⋊C4×D71C22semidirect
71. C2×C4⋊C4×D71C22semidirect
72. C2×C4⋊C4×D71C22semidirect
74. C22×(C2×D71)⋊C4C22semidirect
75. C22×(C2×D71)⋊C4C22semidirect
79. C2×C22⋊C4×D71C22semidirect
80. C2×C22⋊C4×D71C22semidirect
81. C2×C22⋊C4×D71C22semidirect
82. C2×C42×D71C22semidirect
83. #17985901C22semidirect
84. #17985900C22semidirect
85. #17985899C22semidirect
86. #17985899C22semidirect
87. #17985898C22semidirect
88. #17985896C22semidirect
89. #17985894C22semidirect
90. #17985892C22semidirect
91. #17985892C22semidirect
92. #17985891C22semidirect
93. #17985891C22semidirect
94. #17985891C22semidirect
95. #17985890C22semidirect
96. #17985890C22semidirect
97. #17985890C22semidirect
98. #17985889C22semidirect
99. #17985889C22semidirect
100. #17985889C22semidirect
101. #17985888C22semidirect
102. #17985888C22semidirect
103. #17985888C22semidirect
104. #17985886C22semidirect
105. #17985885C22semidirect
106. #17985885C22semidirect
107. #17985883C22semidirect
108. #17985881C22semidirect
109. #17985880C22semidirect
112. #17985878C22semidirect
117. #17985877C22semidirect
118. #17985877C22semidirect
119. #17985877C22semidirect
120. #17985877C22semidirect
121. #17985877C22semidirect
122. #17985877C22semidirect
123. #17985877C22semidirect
124. #17985877C22semidirect
125. #17985877C22semidirect
126. #17985877C22semidirect
128. #17985876C22semidirect
129. #17985875C22semidirect
130. #17985875C22semidirect
131. #17985875C22semidirect
132. #17985875C22semidirect
133. #17985874C22semidirect
134. #17985874C22semidirect
135. #17985873C22semidirect
136. #17985873C22semidirect
137. #17985873C22semidirect
138. #17985873C22semidirect
139. #17985873C22semidirect
140. #17985872C22semidirect
141. #17985871C22semidirect
142. #17985870C22semidirect
143. #17985870C22semidirect
144. #17985870C22semidirect
145. #17985870C22semidirect
146. #17985870C22semidirect
147. #17985861C22semidirect
148. #17985861C22semidirect
149. #17985854C22semidirect
150. #17985854C22semidirect
151. C4⋊C4×Dic71C22semidirect
152. C4×Dic71⋊C4C22semidirect
153. #17985850C22semidirect
154. C22⋊C4×Dic71C22semidirect
155. C22⋊C4×Dic71C22semidirect
156. C22⋊C4×Dic71C22semidirect
157. C4×(C2×D71)⋊C4C22semidirect
158. C4×(C2×D71)⋊C4C22semidirect
159. C4×(C2×D71)⋊C4C22semidirect
160. C4×(C2×D71)⋊C4C22semidirect
161. C4×(C2×D71)⋊C4C22semidirect
162. C4×(C2×D71)⋊C4C22semidirect
163. C4×(C2×D71)⋊C4C22semidirect
164. C4×C22⋊Dic71C22semidirect
165. #17985846C22semidirect
166. #17985846C22semidirect
167. #17985846C22semidirect
168. #17985846C22semidirect
169. #17985846C22semidirect
170. #17985846C22semidirect
171. #17985846C22semidirect
172. C2×C71⋊#95C22semidirect
173. #95×D71C22semidirect
174. #95×D71C22semidirect
177. C2×#117×C71C22semidirect
178. #389×C71C22semidirect
179. #388×C71C22semidirect
180. #388×C71C22semidirect
181. #387×C71C22semidirect
182. #387×C71C22semidirect
184. #385×C71C22semidirect
185. #385×C71C22semidirect
186. C4×C4⋊C4×C71C22semidirect
187. C4×C22⋊C4×C71C22semidirect
188. C4×C22⋊C4×C71C22semidirect
189. C2×#95×C71C22semidirect
195. C22×D284C2×C4semidirect
209. C2×D4×D71C2×C4semidirect
236. #14556113C2×C4semidirect
237. #14556113C2×C4semidirect
238. #14556111C2×C4semidirect
239. #14556103C2×C4semidirect
240. #14556103C2×C4semidirect
241. #14556101C2×C4semidirect
242. #14556101C2×C4semidirect
243. #14556098C2×C4semidirect
244. #14556098C2×C4semidirect
245. #14556098C2×C4semidirect
246. #14556096C2×C4semidirect
330. C22⋊C4×D71C2×C4semidirect
331. C22⋊C4×D71D4semidirect
371. #123×C71C2×C4semidirect
422. C23×D71C22×C4semidirect
448. C2×D284C22×C4semidirect
449. C2×D284C22×C4semidirect
450. C2×D284C22×C4semidirect
451. C2×D284C22×C4semidirect
462. C2×C22⋊D71C22×C4semidirect
463. C2×C22⋊D71C22×C4semidirect
534. C2×C4×D71C22×C4semidirect
535. C2×C4×D71C22×C4semidirect
549. Dic71⋊C4C22×C4semidirect
550. Dic71⋊C4C22×C4semidirect
555. C22⋊Dic71C22×C4semidirect
583. (C2×D71)⋊C4C22×C4semidirect
584. (C2×D71)⋊C4C22×C4semidirect
585. (C2×D71)⋊C4C22×C4semidirect
586. (C2×D71)⋊C4C22×C4semidirect
587. (C2×D71)⋊C4C22×C4semidirect
588. (C2×D71)⋊C4C22×C4semidirect
618. C22×C4×C71C22×C4semidirect
637. C4⋊C4×C71C22×C4semidirect
638. C4⋊C4×C71C22×C4semidirect
643. C22⋊C4×C71C22×C4semidirect
644. C22⋊C4×C71C22×C4semidirect
645. C22⋊C4×C71C22×C4semidirect
713. C22×D71C4×D4semidirect
943. #2359D71semidirect
960. C71#34264semidirect
1001. C2×#117C2×D71semidirect
1022. #389C2×D71semidirect
1037. #388C2×D71semidirect
1038. #388C2×D71semidirect
1045. #387C2×D71semidirect
1046. #387C2×D71semidirect
1085. #385C2×D71semidirect
1086. #385C2×D71semidirect
1094. C4×C4⋊C4C2×D71semidirect
1113. C4×C22⋊C4C2×D71semidirect
1114. C4×C22⋊C4C2×D71semidirect
1118. C2×#95C2×D71semidirect
1173. #123C4×D71semidirect
1483. C22×C4C2×C4×D71semidirect
1515. C4⋊C4C2×C4×D71semidirect
1516. C4⋊C4C2×C4×D71semidirect
1561. C22⋊C4C2×C4×D71semidirect
1562. C22⋊C4C2×C4×D71semidirect
1563. C22⋊C4C2×C4×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179865602
C2×#179864732
C2×C4×D4×D712
#225913912
#225913862
#225913842
#225913592
#225913582
#225913552
#225913532
#225913362
#225913322
#225913282
#225913222
#225913202
#225913172
#225913162
#225910132
#225910042
#225910022
#225909932
#225909142
C4×#145561132
#225908612
C4×#145560982
#225908412
C2×#179858772
#385×D712
#225906922
C71×#23592
#3426471