Finite Group Databasebeta

← #32158591

Subgroups — #32158591

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×#17986559C211yesmaximal, characteristic
2C2×#17986472C211yesmaximal, characteristic, complemented
3C2×C4×D4×D71C211yesmaximal, characteristic, complemented
4#22591391C211yesmaximal, characteristic, complemented
5#22591389C211yesmaximal, characteristic, complemented
6#22591389C211yesmaximal, characteristic, complemented
7#22591384C211yesmaximal, characteristic, complemented
8#22591361C211yesmaximal, characteristic, complemented
9#22591359C211yesmaximal, characteristic, complemented
10#22591353C211yesmaximal, characteristic, complemented
11#22591352C211yesmaximal, characteristic, complemented
12#22591338C211yesmaximal, characteristic, complemented
13#22591334C211yesmaximal, characteristic, complemented
14#22591330C211yesmaximal, characteristic, complemented
15#22591326C211yesmaximal, characteristic, complemented
16#22591324C211yesmaximal, characteristic, complemented
17#22591319C211yesmaximal, characteristic, complemented
18#22591319C211yesmaximal, characteristic, complemented
19#22591010C211yesmaximal, characteristic, complemented
20#22591007C211yesmaximal, characteristic, complemented
21#22590999C211yesmaximal, characteristic, complemented
22#22590996C211yesmaximal, characteristic, complemented
23#22590914C211yesmaximal, characteristic, complemented
24#22590867C211yesmaximal, characteristic, complemented
25C4×#14556110C211yesmaximal, characteristic, complemented
26#22590845C211yesmaximal, characteristic, complemented
27C4×#14556096C211yesmaximal, characteristic, complemented
28C2×#17985875C211yesmaximal, characteristic, complemented
29#385×D71C211yesmaximal, characteristic, complemented
30#22590692C211yesmaximal, characteristic, complemented
31C71×#2358C211yesmaximal, characteristic, complemented
32C23×C22⋊D71C2211yescharacteristic
33C22×D4×D71C2211yescharacteristic
34C23×C4×D71C2211yescharacteristic
35C23×C4×D71C2211yescharacteristic, complemented
36#17986559C4116yescomplemented
37C2×#14556112C2211yescharacteristic
38C2×#14556110C2211yescharacteristic
39C2×#14556110C2211yescharacteristic
40C2×#14556109C2211yescharacteristic
41C2×#14556101C2211yescharacteristic
42C2×#14556101C2211yescharacteristic
43C2×#14556099C2211yescharacteristic
44C2×#14556099C2211yescharacteristic
45C2×#14556097C2211yescharacteristic
46C2×#14556096C2211yescharacteristic
47C2×#14556096C2211yescharacteristic
48#17986472—28no—
49C2×C4×D284C2211yescharacteristic, complemented
50C2×D4×Dic71C2211yescharacteristic
51C2×D4×Dic71C2211yescharacteristic, complemented
52C2×#14556090C2211yescharacteristic, complemented
53C2×C4×C22⋊D71C2211yescharacteristic
54C2×C4×C22⋊D71C2211yescharacteristic
55C2×C4×C22⋊D71C2211yescharacteristic
56C2×C4×C22⋊D71C2211yescharacteristic, complemented
57C2×C4×C22⋊D71C2211yescharacteristic, complemented
58C2×C4×C22⋊D71C2211yescharacteristic, complemented
59C2×C4×C22⋊D71C2211yescharacteristic, complemented
60C2×(C22⋊D71)⋊C4C2211yescharacteristic
61C2×(C22⋊D71)⋊C4C2211yescharacteristic
62C2×(C22⋊D71)⋊C4C2211yescharacteristic
63C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
64C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
65C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
66C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
67C4×D4×D71—28no—
68C2×#14556084C2211yescharacteristic, complemented
69C2×#14556084C2211yescharacteristic, complemented
70C2×C4⋊C4×D71C2211yescharacteristic, complemented
71C2×C4⋊C4×D71C2211yescharacteristic, complemented
72C2×C4⋊C4×D71C2211yescharacteristic, complemented
73C22×C22⋊Dic71C2211yescharacteristic, complemented
74C22×C22⋊Dic71C2211yescharacteristic, complemented
75C22×(C2×D71)⋊C4C2211yescharacteristic
76C2×C22⋊C4×D71C2211yescharacteristic
77C2×C22⋊C4×D71C2211yescharacteristic
78C2×C22⋊C4×D71C2211yescharacteristic
79C2×C22⋊C4×D71C2211yescharacteristic, complemented
80C2×C42×D71C2211yescharacteristic, complemented
81#17985902C2211yescharacteristic, complemented
82#17985899C2211yescharacteristic, complemented
83#17985899C2211yescharacteristic, complemented
84#17985897C2211yescharacteristic, complemented
85#17985896C2211yescharacteristic, complemented
86#17985895C2211yescharacteristic, complemented
87#17985894C2211yescharacteristic, complemented
88#17985893C2211yescharacteristic, complemented
89#17985893C2211yescharacteristic, complemented
90#17985893C2211yescharacteristic, complemented
91#17985893C2211yescharacteristic, complemented
92#17985892C2211yescharacteristic, complemented
93#17985892C2211yescharacteristic, complemented
94#17985891C2211yescharacteristic, complemented
95#17985890C2211yescharacteristic, complemented
96#17985889C2211yescharacteristic, complemented
97#17985888C2211yescharacteristic, complemented
98#17985887C2211yescharacteristic, complemented
99#17985887C2211yescharacteristic, complemented
100#17985887C2211yescharacteristic, complemented
101#17985887C2211yescharacteristic, complemented
102#17985886C2211yescharacteristic, complemented
103#17985884C2211yescharacteristic, complemented
104#17985884C2211yescharacteristic, complemented
105#17985883C2211yescharacteristic, complemented
106#17985882C2211yescharacteristic, complemented
107#17985882C2211yescharacteristic, complemented
108#17985881C2211yescharacteristic, complemented
109#17985880C2211yescharacteristic, complemented
110#17985879C2211yescharacteristic
111#17985879C2211yescharacteristic, complemented
112#17985879C2211yescharacteristic, complemented
113#17985878C2211yescharacteristic
114#17985878C2211yescharacteristic, complemented
115#17985877C2211yescharacteristic, complemented
116#17985877C2211yescharacteristic, complemented
117#17985876C2211yescharacteristic
118#17985876C2211yescharacteristic, complemented
119#17985875C2211yescharacteristic
120#17985875C2211yescharacteristic
121#17985875C2211yescharacteristic
122#17985875C2211yescharacteristic
123#17985875C2211yescharacteristic, complemented
124#17985875C2211yescharacteristic, complemented
125#17985875C2211yescharacteristic, complemented
126#17985875C2211yescharacteristic, complemented
127#17985875C2211yescharacteristic, complemented
128#17985875C2211yescharacteristic, complemented
129#17985875C2211yescharacteristic, complemented
130#17985875C2211yescharacteristic, complemented
131#17985874C2211yescharacteristic, complemented
132#17985874C2211yescharacteristic, complemented
133#17985873C2211yescharacteristic, complemented
134#17985873C2211yescharacteristic, complemented
135#17985873C2211yescharacteristic, complemented
136#17985872C2211yescharacteristic, complemented
137#17985872C2211yescharacteristic, complemented
138#17985872C2211yescharacteristic, complemented
139#17985871C2211yescharacteristic, complemented
140#17985871C2211yescharacteristic, complemented
141#17985871C2211yescharacteristic, complemented
142#17985870C2211yescharacteristic, complemented
143#17985870C2211yescharacteristic, complemented
144#17985870C2211yescharacteristic, complemented
145#17985861C2211yescharacteristic, complemented
146#17985861C2211yescharacteristic, complemented
147#17985854C2211yescharacteristic, complemented
148#17985854C2211yescharacteristic, complemented
149C4⋊C4×Dic71C2211yescharacteristic, complemented
150C4×Dic71⋊C4C2211yescharacteristic, complemented
151C4×C4⋊Dic71C2211yescharacteristic, complemented
152#17985850C2211yescharacteristic, complemented
153C22⋊C4×Dic71C2211yescharacteristic, complemented
154C22⋊C4×Dic71C2211yescharacteristic, complemented
155C22⋊C4×Dic71C2211yescharacteristic, complemented
156C22⋊C4×Dic71C2211yescharacteristic, complemented
157C22⋊C4×Dic71C2211yescharacteristic, 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×C22⋊Dic71C2211yescharacteristic, complemented
164C4×C22⋊Dic71C2211yescharacteristic, complemented
165C4×C22⋊Dic71C2211yescharacteristic, complemented
166#17985846C2211yescharacteristic, complemented
167#17985846C2211yescharacteristic, complemented
168#17985846C2211yescharacteristic, complemented
169#17985846C2211yescharacteristic, complemented
170#17985846C2211yescharacteristic, complemented
171C2×C71⋊#95C2211yescharacteristic, complemented
172C2×C71⋊#95C2211yescharacteristic, complemented
173#95×D71C2211yescharacteristic, complemented
174#95×D71C2211yescharacteristic, complemented
175C2×#120×C71C2211yescharacteristic
176C2×C4×D4×C71C2211yescharacteristic
177C2×C4×D4×C71C2211yescharacteristic, complemented
178C22×C22⋊C4×C71C2211yescharacteristic, complemented
179C22×C22⋊C4×C71C2211yescharacteristic, complemented
180#390×C71C2211yescharacteristic, complemented
181#388×C71C2211yescharacteristic, complemented
182#388×C71C2211yescharacteristic, complemented
183#386×C71C2211yescharacteristic
184#386×C71C2211yescharacteristic, complemented
185#386×C71C2211yescharacteristic, complemented
186#385×C71C2211yescharacteristic, complemented
187#385×C71C2211yescharacteristic, complemented
188C4×C22⋊C4×C71C2211yescharacteristic, complemented
189C4×C22⋊C4×C71C2211yescharacteristic, complemented
190C24×D71C2311yescharacteristic
191C24×D71C2311yescharacteristic
192C22×D284C2311yescharacteristic
193C22×C22⋊D71—24no—
194C22×C22⋊D71—24no—
195C22×C22⋊D71C2×C418yescomplemented
196C22×C22⋊D71C2311yescharacteristic
197C22×C22⋊D71C2311yescharacteristic
198C22×C22⋊D71C2311yescharacteristic
199C22×C22⋊D71C2311yescharacteristic
200C22×C22⋊D71C2311yescharacteristic
201C22×C22⋊D71C2311yescharacteristic
202C22×C22⋊D71C2311yescharacteristic
203C22×C22⋊D71C2311yescharacteristic
204C2×D4×D71—24no—
205C2×D4×D71—24no—
206C2×D4×D71C2×C418yescomplemented
207C23×Dic71C2311yescharacteristic
208C23×Dic71C2311yescharacteristic
209C23×Dic71C2311yescharacteristic
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
232#14556112C2×C418yescomplemented
233#14556110C2×C418yescomplemented
234#14556110C2×C418yescomplemented
235#14556109C2×C418yescomplemented
236#14556101C2×C418yescomplemented
237#14556101C2×C418yescomplemented
238#14556099C2×C418yescomplemented
239#14556099C2×C418yescomplemented
240#14556097C2×C418yescomplemented
241#14556096C2×C418yescomplemented
242#14556096C2×C418yescomplemented
243C4×D284—24no—
244D4×Dic71—24no—
245D4×Dic71—42no—
246#14556090—24no—
247C4×C22⋊D71—24no—
248C4×C22⋊D71—24no—
249C4×C22⋊D71—24no—
250C4×C22⋊D71—24no—
251C4×C22⋊D71—24no—
252C4×C22⋊D71—24no—
253C4×C22⋊D71—42no—
254(C22⋊D71)⋊C4—24no—
255(C22⋊D71)⋊C4—24no—
256(C22⋊D71)⋊C4—24no—
257(C22⋊D71)⋊C4—24no—
258(C22⋊D71)⋊C4—24no—
259(C22⋊D71)⋊C4—24no—
260(C22⋊D71)⋊C4—42no—
261#14556084—24no—
262#14556084—24no—
263C2×C4⋊Dic71C2311yescharacteristic
264C2×C4⋊Dic71C2311yescharacteristic
265C2×C4⋊Dic71C2311yescharacteristic
266C2×C4⋊Dic71C2311yescharacteristic
267C2×C4⋊Dic71C2311yescharacteristic
268C2×Dic71⋊C4C2311yescharacteristic
269C2×Dic71⋊C4C2311yescharacteristic
270C2×Dic71⋊C4C2311yescharacteristic
271C2×Dic71⋊C4C2311yescharacteristic
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⋊Dic71—24no—
284C2×C22⋊Dic71—42no—
285C2×C22⋊Dic71C2311yescharacteristic
286C2×C22⋊Dic71C2311yescharacteristic
287C2×C22⋊Dic71C2311yescharacteristic
288C2×C22⋊Dic71C2311yescharacteristic
289C2×C22⋊Dic71C2311yescharacteristic
290C2×C22⋊Dic71C2311yescharacteristic
291C2×C22⋊Dic71C2311yescharacteristic
292C2×C22⋊Dic71C2311yescharacteristic
293C2×C22⋊Dic71C2311yescharacteristic
294C2×C22⋊Dic71C2311yescharacteristic
295C2×C22⋊Dic71C2311yescharacteristic
296C2×C22⋊Dic71C2311yescharacteristic
297C2×C22⋊Dic71C2311yescharacteristic
298C2×C22⋊Dic71C2311yescharacteristic
299C2×C22⋊Dic71C2311yescharacteristic
300C2×C22⋊Dic71C2311yescharacteristic
301C2×(C2×D71)⋊C4—24no—
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
320C22⋊C4×D71—24no—
321C22⋊C4×D71—24no—
322C22⋊C4×D71C2×C418yescomplemented
323C22⋊C4×D71D418yescomplemented
324C2×C4×Dic71C2311yescharacteristic
325C2×C4×Dic71C2311yescharacteristic
326C2×C4×Dic71C2311yescharacteristic
327C2×C4×Dic71C2311yescharacteristic
328C2×C4×Dic71C2311yescharacteristic
329C2×C4×Dic71C2311yescharacteristic
330C2×C4×Dic71C2311yescharacteristic
331C2×C4×Dic71C2311yescharacteristic
332C2×C4×Dic71C2311yescharacteristic
333C2×C4×Dic71C2311yescharacteristic
334C2×C4×Dic71C2311yescharacteristic
335C2×C4×Dic71C2311yescharacteristic
336C2×C4×Dic71C2311yescharacteristic
337C42×D71—24no—
338C71⋊#95C2311yescharacteristic
339C71⋊#95C2311yescharacteristic
340C71⋊#95C2311yescharacteristic
341C71⋊#95C2311yescharacteristic
342C71⋊#95C2311yescharacteristic
343C71⋊#95C2311yescharacteristic
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
364C25×C71C2311yescharacteristic
365C22×D4×C71C2311yescharacteristic
366C22×D4×C71C2311yescharacteristic
367C22×D4×C71C2311yescharacteristic
368C23×C4×C71C2311yescharacteristic
369C23×C4×C71C2311yescharacteristic
370C23×C4×C71C2311yescharacteristic
371C23×C4×C71C2311yescharacteristic
372C23×C4×C71C2311yescharacteristic
373#120×C71C2×C418yescomplemented
374C4×D4×C71—24no—
375C4×D4×C71—42no—
376C2×C4⋊C4×C71C2311yescharacteristic
377C2×C4⋊C4×C71C2311yescharacteristic
378C2×C4⋊C4×C71C2311yescharacteristic
379C2×C22⋊C4×C71—24no—
380C2×C22⋊C4×C71—42no—
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×C22⋊C4×C71C2311yescharacteristic
390C2×C22⋊C4×C71C2311yescharacteristic
391C2×C22⋊C4×C71C2311yescharacteristic
392C2×C22⋊C4×C71C2311yescharacteristic
393C2×C22⋊C4×C71C2311yescharacteristic
394C2×C22⋊C4×C71C2311yescharacteristic
395C2×C42×C71C2311yescharacteristic
396C2×C42×C71C2311yescharacteristic
397C2×C42×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—41no—
407C23×D71—41no—
408C23×D71—41no—
409C23×D71—41no—
410C23×D71—41no—
411C23×D71—41no—
412C23×D71—41no—
413C23×D71—41no—
414C23×D71C22×C414yes—
415C23×D71C22×C414yes—
416C23×D71C2×D414yes—
417C23×D71#4114yes—
418C23×D71C2411yescharacteristic
419C23×D71C2411yescharacteristic
420C23×D71C2411yescharacteristic
421C2×D284—22no—
422C2×D284—22no—
423C2×D284C22×C414yes—
424C2×C22⋊D71—22no—
425C2×C22⋊D71—22no—
426C2×C22⋊D71—232no—
427C2×C22⋊D71—22no—
428C2×C22⋊D71—22no—
429C2×C22⋊D71—22no—
430C2×C22⋊D71—22no—
431C2×C22⋊D71—22no—
432C2×C22⋊D71—22no—
433C2×C22⋊D71—22no—
434C2×C22⋊D71—22no—
435C2×C22⋊D71—22no—
436C2×C22⋊D71—22no—
437C2×C22⋊D71—41no—
438C2×C22⋊D71—41no—
439C2×C22⋊D71—41no—
440C2×C22⋊D71—41no—
441C2×C22⋊D71C22×C414yes—
442C2×C22⋊D71C22×C414yes—
443C2×C22⋊D71C22×C414yes—
444C2×C22⋊D71C22×C414yes—
445C2×C22⋊D71C22×C414yescomplemented
446C2×C22⋊D71C22×C414yescomplemented
447C2×C22⋊D71C22×C414yescomplemented
448C2×C22⋊D71C22×C414yescomplemented
449D4×D71—232no—
450C22×Dic71—22no—
451C22×Dic71—22no—
452C22×Dic71—22no—
453C22×Dic71—22no—
454C22×Dic71—22no—
455C22×Dic71—22no—
456C22×Dic71—22no—
457C22×Dic71—22no—
458C22×Dic71—22no—
459C22×Dic71—41no—
460C22×Dic71—41no—
461C22×Dic71—41no—
462C22×Dic71—41no—
463C22×Dic71—41no—
464C22×Dic71—41no—
465C22×Dic71—41no—
466C22×Dic71—41no—
467C22×Dic71C22×C414yescomplemented
468C22×Dic71C2411yescharacteristic
469C22×Dic71C2411yescharacteristic
470C22×Dic71C2411yescharacteristic
471C22×Dic71C2411yescharacteristic
472C22×Dic71C2411yescharacteristic
473C22×Dic71C2411yescharacteristic
474C22×Dic71C2411yescharacteristic
475C22×Dic71C2411yescharacteristic
476C22×Dic71C2411yescharacteristic
477C22×Dic71C2411yescharacteristic
478C22×Dic71C2411yescharacteristic
479C22×Dic71C2411yescharacteristic
480C22×Dic71C2411yescharacteristic
481C2×C4×D71—22no—
482C2×C4×D71—22no—
483C2×C4×D71—22no—
484C2×C4×D71—22no—
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—416no—
498C2×C4×D71—416no—
499C2×C4×D71—41no—
500C2×C4×D71—41no—
501C2×C4×D71—41no—
502C2×C4×D71—41no—
503C2×C4×D71—41no—
504C2×C4×D71—41no—
505C2×C4×D71—41no—
506C2×C4×D71—41no—
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×D71C22×C414yes—
518C2×C4×D71C22×C414yescomplemented
519C2×C4×D71C22×C414yescomplemented
520C2×C4×D71C2×D414yes—
521C2×C4×D71C2×D414yes—
522C4⋊Dic71—22no—
523C4⋊Dic71—22no—
524C4⋊Dic71—41no—
525C4⋊Dic71C22×C414yescomplemented
526C4⋊Dic71C22×C414yescomplemented
527Dic71⋊C4—22no—
528Dic71⋊C4—22no—
529Dic71⋊C4—22no—
530Dic71⋊C4—22no—
531Dic71⋊C4—22no—
532Dic71⋊C4—22no—
533Dic71⋊C4—22no—
534Dic71⋊C4—22no—
535Dic71⋊C4—41no—
536Dic71⋊C4—41no—
537Dic71⋊C4C22×C414yescomplemented
538Dic71⋊C4C22×C414yescomplemented
539C22⋊Dic71—22no—
540C22⋊Dic71—22no—
541C22⋊Dic71—22no—
542C22⋊Dic71—22no—
543C22⋊Dic71—22no—
544C22⋊Dic71—22no—
545C22⋊Dic71—41no—
546C22⋊Dic71—41no—
547C22⋊Dic71—41no—
548C22⋊Dic71—41no—
549C22⋊Dic71C22×C414yescomplemented
550C22⋊Dic71C22×C414yescomplemented
551C22⋊Dic71C22×C414yescomplemented
552C22⋊Dic71C22×C414yescomplemented
553C22⋊Dic71C22×C414yescomplemented
554C22⋊Dic71C2×D414yes—
555(C2×D71)⋊C4—22no—
556(C2×D71)⋊C4—22no—
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—41no—
564(C2×D71)⋊C4—41no—
565(C2×D71)⋊C4—41no—
566(C2×D71)⋊C4—41no—
567(C2×D71)⋊C4C22×C414yes—
568(C2×D71)⋊C4C22×C414yes—
569(C2×D71)⋊C4C22×C414yescomplemented
570(C2×D71)⋊C4C22×C414yescomplemented
571(C2×D71)⋊C4C2×D414yes—
572(C2×D71)⋊C4C2×D414yes—
573C4×Dic71—22no—
574C4×Dic71—22no—
575C4×Dic71—22no—
576C4×Dic71—22no—
577C4×Dic71—22no—
578C4×Dic71—22no—
579C4×Dic71—22no—
580C4×Dic71—41no—
581C4×Dic71—41no—
582C4×Dic71—41no—
583C4×Dic71—41no—
584C4×Dic71—41no—
585C4×Dic71—41no—
586C24×C71—22no—
587C24×C71—22no—
588C24×C71—41no—
589C24×C71—41no—
590C24×C71—41no—
591C24×C71—41no—
592C24×C71C22×C414yescomplemented
593C24×C71C2411yescharacteristic
594C24×C71C2411yescharacteristic
595C24×C71C2411yescharacteristic
596C24×C71C2411yescharacteristic
597C2×D4×C71—22no—
598C2×D4×C71—22no—
599C2×D4×C71—41no—
600C2×D4×C71—41no—
601C2×D4×C71—41no—
602C2×D4×C71—41no—
603C2×D4×C71C22×C414yes—
604C2×D4×C71C22×C414yescomplemented
605C2×D4×C71C22×C414yescomplemented
606C22×C4×C71—22no—
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—41no—
614C22×C4×C71—41no—
615C22×C4×C71—41no—
616C22×C4×C71—41no—
617C22×C4×C71—41no—
618C22×C4×C71—41no—
619C22×C4×C71—41no—
620C22×C4×C71—41no—
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—41no—
635C22⋊C4×C71—22no—
636C22⋊C4×C71—22no—
637C22⋊C4×C71—22no—
638C22⋊C4×C71—22no—
639C22⋊C4×C71—22no—
640C22⋊C4×C71—22no—
641C22⋊C4×C71—41no—
642C22⋊C4×C71—41no—
643C22⋊C4×C71—41no—
644C22⋊C4×C71—41no—
645C22⋊C4×C71C22×C414yescomplemented
646C22⋊C4×C71C22×C414yescomplemented
647C22⋊C4×C71C22×C414yescomplemented
648C22⋊C4×C71C2×D414yes—
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×C71—21no—
663C23×C71—21no—
664C23×C71—21no—
665C23×C71—21no—
666C23×C71—21no—
667C23×C71—21no—
668C23×C71—21no—
669C23×C71—21no—
670C23×C71—21no—
671C23×C71—21no—
672C23×C71—21no—
673C23×C71—21no—
674C23×C71—28no—
675C23×C71—44no—
676C23×C71—44no—
677C23×C71—82no—
678C23×C71—82no—
679C23×C71—82no—
680C23×C71—82no—
681C23×C71C23×C412yes—
682C23×C71C23×C412yes—
683C23×C71C23×C412yes—
684C23×C71C23×C412yes—
685C23×C71C22×D412yes—
686C23×C71C2×#4112yes—
687C23×C71C2511yescharacteristic
688C22×D71—21no—
689C22×D71—21no—
690C22×D71—21no—
691C22×D71—21no—
692C22×D71—21no—
693C22×D71—21no—
694C22×D71—21no—
695C22×D71—21no—
696C22×D71—21no—
697C22×D71—21no—
698C22×D71—21no—
699C22×D71—21no—
700C22×D71—21no—
701C22×D71—21no—
702C22×D71—28no—
703C22×D71—44no—
704C22×D71—44no—
705C22×D71—44no—
706C22×D71—44no—
707C22×D71—44no—
708C22×D71—44no—
709C22×D71—44no—
710C22×D71—44no—
711C22×D71—44no—
712C22×D71—44no—
713C22×D71—44no—
714C22×D71—44no—
715C22×D71C4×D4116yescomplemented
716C22×D71C23×C412yes—
717C22×D71C23×C412yes—
718C22×D71C23×C412yes—
719C22×D71C22×D412yes—
720C22×D71C22×D412yes—
721C22×D71C2×#4112yes—
722C22×D71C2×#4112yes—
723D4×C71—28no—
724D4×C71—44no—
725D4×C71—44no—
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—44no—
754C2×C4×C71—44no—
755C2×C4×C71—82no—
756C2×C4×C71—82no—
757C2×C4×C71—82no—
758C2×C4×C71C23×C412yes—
759C2×C4×C71C23×C412yes—
760C2×C4×C71C23×C412yes—
761C2×C4×C71C22×D412yes—
762C2×C4×C71C22×D412yes—
763C2×C4×C71H(5,𝔽2)12yes—
764C22⋊D71—28no—
765C22⋊D71—28no—
766C22⋊D71—28no—
767C22⋊D71—28no—
768C22⋊D71—28no—
769C22⋊D71—28no—
770C22⋊D71—44no—
771C22⋊D71—44no—
772C2×Dic71—28no—
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—21no—
799C2×Dic71—21no—
800C2×Dic71—21no—
801C2×Dic71—21no—
802C2×Dic71—21no—
803C2×Dic71—21no—
804C2×Dic71—44no—
805C2×Dic71—44no—
806C2×Dic71—82no—
807C2×Dic71—82no—
808C2×Dic71—82no—
809C2×Dic71C23×C412yes—
810C2×Dic71C23×C412yes—
811C2×Dic71C23×C412yes—
812C2×Dic71C23×C412yes—
813C2×Dic71C23×C412yes—
814C2×Dic71C22×D412yes—
815C2×Dic71C22×D412yes—
816C2×Dic71H(5,𝔽2)12yes—
817D284—28no—
818C4×D71—28no—
819C4×D71—28no—
820C4×D71—44no—
821C4×D71—44no—
822C4×D71—44no—
823C4×D71—44no—
824C4×D71—44no—
825C4×D71—44no—
826C4×D71—44no—
827C4×D71—44no—
828C4×D71—44no—
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—22no—
841C22×C71—22no—
842C22×C71—22no—
843C22×C71—22no—
844C22×C71—22no—
845C22×C71—22no—
846C22×C71—41no—
847C22×C71—41no—
848C22×C71—41no—
849C22×C71—41no—
850C22×C71—41no—
851C22×C71—41no—
852C22×C71—41no—
853C22×C71—41no—
854C22×C71—41no—
855C22×C71—41no—
856C22×C71—41no—
857C22×C71—41no—
858C22×C71—88no—
859C22×C71C2×C4×D414yes—
860C22×C71C24×C411yescharacteristic
861C22×C71C23×D411yescharacteristic
862C22×C71C22×#4111yescharacteristic
863C22×C71C2×H(5,𝔽2)11yescharacteristic
864C22×C71C2×H(5,𝔽2)11yescharacteristic
865C22×C71#58511yescharacteristic
866C22×C71#58511yescharacteristic
867C2×D71—22no—
868C2×D71—22no—
869C2×D71—22no—
870C2×D71—22no—
871C2×D71—22no—
872C2×D71—22no—
873C2×D71—22no—
874C2×D71—22no—
875C2×D71—22no—
876C2×D71—22no—
877C2×D71—22no—
878C2×D71—22no—
879C2×D71—22no—
880C2×D71—22no—
881C2×D71—22no—
882C2×D71—416no—
883C2×D71—416no—
884C2×D71—41no—
885C2×D71—41no—
886C2×D71—41no—
887C2×D71—41no—
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—41no—
897C4×C71—41no—
898C4×C71—41no—
899C4×C71—41no—
900C4×C71—41no—
901Dic71—22no—
902Dic71—22no—
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×C71—42no—
918C2×C71—42no—
919C2×C71C22×C4×D411yescharacteristic
920C2×C71C4×H(5,𝔽2)11yescharacteristic
921C2×C71C4×H(5,𝔽2)11yescharacteristic
922C2×C71#348411yescharacteristic
923C2×C71#348511yescharacteristic
924C2×C71#350511yescharacteristic
925C2×C71#350511yescharacteristic
926D71—24no—
927D71—24no—
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#2359—711no—
944#2358—711no—
945#2358—711no—
946#2358—711no—
947#2358D7111yescharacteristic, complemented
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×#123—711no—
970C2×#121—711no—
971C2×#121—711no—
972C2×#121—711no—
973C2×#121—711no—
974C2×#120—711no—
975C2×#120—711no—
976C2×#120—711no—
977C2×#120C2×D7111yescharacteristic
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—1428no—
998C2×C4×D4C2×D7111yescharacteristic
999C2×C4×D4C2×D7111yescharacteristic, complemented
1000C2×#117—711no—
1001C2×#117—711no—
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⋊C4C2×D7111yescharacteristic, complemented
1013C22×C22⋊C4C2×D7111yescharacteristic, complemented
1014C22×C42—711no—
1015#390—711no—
1016#390—711no—
1017#390—711no—
1018#390C2×D7111yescharacteristic, complemented
1019#389—711no—
1020#389—711no—
1021#389—711no—
1022#389—711no—
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#387—711no—
1046#387—711no—
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#386C2×D7111yescharacteristic
1069#386C2×D7111yescharacteristic, complemented
1070#386C2×D7111yescharacteristic, complemented
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⋊C4—711no—
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×#95—711no—
1119C25—711no—
1120C25—711no—
1121C25C22×D7111yescharacteristic
1122C22×D4—711no—
1123C22×D4—711no—
1124C22×D4—718no—
1125C22×D4—711no—
1126C22×D4—711no—
1127C22×D4—711no—
1128C22×D4—711no—
1129C22×D4—711no—
1130C22×D4—711no—
1131C22×D4—718no—
1132C22×D4—711no—
1133C22×D4—1424no—
1134C22×D4—1424no—
1135C22×D4—1424no—
1136C22×D4—1424no—
1137C22×D4C22×D7111yescharacteristic
1138C22×D4C22×D7111yescharacteristic
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—1424no—
1164C23×C4—1424no—
1165C23×C4C22×D7111yescharacteristic
1166C23×C4C22×D7111yescharacteristic
1167C23×C4C22×D7111yescharacteristic
1168C23×C4C22×D7111yescharacteristic
1169C23×C4C22×D7111yescharacteristic
1170#123—718no—
1171#123—718no—
1172#123—718no—
1173#123—718no—
1174#121—718no—
1175#121—718no—
1176#121—718no—
1177#121—718no—
1178#120—718no—
1179#120—718no—
1180#120—718no—
1181#120C4×D7118yescomplemented
1182C4×D4—24no—
1183C4×D4—42no—
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—1424no—
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—711no—
1220C2×C4⋊C4—711no—
1221C2×C4⋊C4—711no—
1222C2×C4⋊C4—711no—
1223C2×C4⋊C4—1424no—
1224C2×C4⋊C4C22×D7111yescharacteristic
1225C2×C4⋊C4C22×D7111yescharacteristic
1226C2×C4⋊C4C22×D7111yescharacteristic
1227C2×C22⋊C4—24no—
1228C2×C22⋊C4—42no—
1229C2×C22⋊C4—2842no—
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—718no—
1251C2×C22⋊C4—718no—
1252C2×C22⋊C4—711no—
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—1424no—
1267C2×C22⋊C4—1424no—
1268C2×C22⋊C4—1424no—
1269C2×C22⋊C4—1424no—
1270C2×C22⋊C4C22×D7111yescharacteristic
1271C2×C22⋊C4C22×D7111yescharacteristic
1272C2×C22⋊C4C22×D7111yescharacteristic
1273C2×C22⋊C4C22×D7111yescharacteristic
1274C2×C22⋊C4C22×D7111yescharacteristic
1275C2×C22⋊C4C22×D7111yescharacteristic
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—711no—
1296C2×C42—711no—
1297C2×C42—1424no—
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#95—711no—
1324#95—711no—
1325#95—711no—
1326#95—711no—
1327#95C22×D7111yescharacteristic
1328#95C22×D7111yescharacteristic
1329#95C22×D7111yescharacteristic
1330#95C22×D7111yescharacteristic
1331#95C22×D7111yescharacteristic
1332#95C22×D7111yescharacteristic
1333C24—22no—
1334C24—22no—
1335C24—41no—
1336C24—41no—
1337C24—41no—
1338C24—41no—
1339C24—2841no—
1340C24—2841no—
1341C24—2841no—
1342C24—2841no—
1343C24—2841no—
1344C24—2841no—
1345C24—2841no—
1346C24—2841no—
1347C24—714no—
1348C24—714no—
1349C24—714no—
1350C24—714no—
1351C24—711no—
1352C24—711no—
1353C24—711no—
1354C24—1422no—
1355C24—1422no—
1356C24C2×C4×D7114yescomplemented
1357C24C23×D7111yescharacteristic
1358C24C23×D7111yescharacteristic
1359C24C23×D7111yescharacteristic
1360C24C23×D7111yescharacteristic
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
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—1422no—
1381C2×D4—1422no—
1382C2×D4—14232no—
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—1422no—
1393C2×D4—14232no—
1394C2×D4—1422no—
1395C2×D4—1422no—
1396C2×D4C2×C4×D7114yes—
1397C2×D4C2×C4×D7114yescomplemented
1398C2×D4C2×C4×D7114yescomplemented
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—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—41no—
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—28416no—
1433C22×C4—28416no—
1434C22×C4—2841no—
1435C22×C4—2841no—
1436C22×C4—2841no—
1437C22×C4—2841no—
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—714no—
1447C22×C4—711no—
1448C22×C4—711no—
1449C22×C4—711no—
1450C22×C4—711no—
1451C22×C4—711no—
1452C22×C4—711no—
1453C22×C4—711no—
1454C22×C4—711no—
1455C22×C4—714no—
1456C22×C4—711no—
1457C22×C4—711no—
1458C22×C4—711no—
1459C22×C4—711no—
1460C22×C4—711no—
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×C4—1422no—
1484C22×C4—1422no—
1485C22×C4—1422no—
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—41no—
1500C4⋊C4—2841no—
1501C4⋊C4—2841no—
1502C4⋊C4—2841no—
1503C4⋊C4—714no—
1504C4⋊C4—714no—
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⋊C4—1422no—
1516C4⋊C4—1422no—
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—41no—
1527C22⋊C4—2841no—
1528C22⋊C4—2841no—
1529C22⋊C4—2841no—
1530C22⋊C4—2841no—
1531C22⋊C4—2841no—
1532C22⋊C4—2841no—
1533C22⋊C4—2841no—
1534C22⋊C4—2841no—
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—714no—
1544C22⋊C4—714no—
1545C22⋊C4—714no—
1546C22⋊C4—714no—
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—41no—
1567C42—41no—
1568C42—2841no—
1569C42—2841no—
1570C42—2841no—
1571C42—2841no—
1572C42—2841no—
1573C42—2841no—
1574C42—1422no—
1575C42—1422no—
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—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—28no—
1604C23—44no—
1605C23—44no—
1606C23—82no—
1607C23—82no—
1608C23—82no—
1609C23—82no—
1610C23—2844no—
1611C23—2844no—
1612C23—2844no—
1613C23—2844no—
1614C23—2844no—
1615C23—2844no—
1616C23—2844no—
1617C23—2844no—
1618C23—2844no—
1619C23—2844no—
1620C23—2844no—
1621C23—2844no—
1622C23—7116no—
1623C23—712no—
1624C23—712no—
1625C23—712no—
1626C23—712no—
1627C23—712no—
1628C23—712no—
1629C23—712no—
1630C23—1428no—
1631C23—1421no—
1632C23—1421no—
1633C23—1421no—
1634C23—1421no—
1635C23—1421no—
1636C23—1421no—
1637C23—1421no—
1638C23—1421no—
1639C23—1421no—
1640C23—1421no—
1641C23—1421no—
1642C23—1421no—
1643C23—1421no—
1644C23—1421no—
1645C23C22×C4×D7112yes—
1646C23C22×C4×D7112yes—
1647C23C22×C4×D7112yes—
1648C23C22×C4×D7112yes—
1649C23C2×D4×D7112yes—
1650C23#41×D7112yes—
1651C23C24×D7111yescharacteristic
1652D4—28no—
1653D4—44no—
1654D4—44no—
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—21no—
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—44no—
1692C2×C4—44no—
1693C2×C4—82no—
1694C2×C4—82no—
1695C2×C4—82no—
1696C2×C4—2844no—
1697C2×C4—2844no—
1698C2×C4—2844no—
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—5682no—
1708C2×C4—5682no—
1709C2×C4—5682no—
1710C2×C4—5682no—
1711C2×C4—5682no—
1712C2×C4—712no—
1713C2×C4—712no—
1714C2×C4—712no—
1715C2×C4—712no—
1716C2×C4—712no—
1717C2×C4—712no—
1718C2×C4—712no—
1719C2×C4—712no—
1720C2×C4—1428no—
1721C2×C4—1428no—
1722C2×C4—1421no—
1723C2×C4—1421no—
1724C2×C4—1421no—
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×C4—1421no—
1753C2×C4—1428no—
1754C2×C4C22×C4×D7112yes—
1755C2×C4C22×C4×D7112yes—
1756C2×C4C22×C4×D7112yes—
1757C2×C4C2×D4×D7112yes—
1758C2×C4C2×D4×D7112yes—
1759C2×C4#1455617312yes—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—88no—
1788C22—28416no—
1789C22—28416no—
1790C22—2841no—
1791C22—2841no—
1792C22—2841no—
1793C22—2841no—
1794C22—714no—
1795C22—714no—
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×#1455617311yescharacteristic
1817C22#1798683411yescharacteristic
1818C22#1798683511yescharacteristic
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—22no—
1823C4—22no—
1824C4—22no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—2841no—
1831C4—2841no—
1832C4—2841no—
1833C4—2841no—
1834C4—2841no—
1835C4—1422no—
1836C4—1422no—
1837C4—1422no—
1838C4—1422no—
1839C4—1422no—
1840C4—1422no—
1841C4—1422no—
1842C4—1422no—
1843C2—24no—
1844C2—42no—
1845C2—42no—
1846C2—42no—
1847C2—2842no—
1848C2—1424no—
1849C2—1424no—
1850C2C2×C4×D4×D7111yescharacteristic
1851C2#2260154411yescharacteristic
1852C2C4×#1455617311yescharacteristic
1853C2#2260196811yescharacteristic
1854C2#2260197711yescharacteristic
1855C2#2260216711yescharacteristic
1856C2#2260217111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D71
commutatorC22×C71C24×C4
FittingC71×#2358C2
socle, cosocleC23×C71C25
prime radicalC2×#17986559C2
hypercenter#2358D71
hypocenterC71#34264
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. C2×#17986472C2semidirect
3. C2×C4×D4×D71C2semidirect
4. #22591391C2semidirect
5. #22591389C2semidirect
6. #22591389C2semidirect
7. #22591384C2semidirect
8. #22591361C2semidirect
9. #22591359C2semidirect
10. #22591353C2semidirect
11. #22591352C2semidirect
12. #22591338C2semidirect
13. #22591334C2semidirect
14. #22591330C2semidirect
15. #22591326C2semidirect
16. #22591324C2semidirect
17. #22591319C2semidirect
18. #22591319C2semidirect
19. #22591010C2semidirect
20. #22591007C2semidirect
21. #22590999C2semidirect
22. #22590996C2semidirect
23. #22590914C2semidirect
24. #22590867C2semidirect
25. C4×#14556110C2semidirect
26. #22590845C2semidirect
27. C4×#14556096C2semidirect
28. C2×#17985875C2semidirect
29. #385×D71C2semidirect
30. #22590692C2semidirect
31. C71×#2358C2semidirect
35. C23×C4×D71C22semidirect
36. #17986559C4semidirect
49. C2×C4×D284C22semidirect
51. C2×D4×Dic71C22semidirect
52. C2×#14556090C22semidirect
56. C2×C4×C22⋊D71C22semidirect
57. C2×C4×C22⋊D71C22semidirect
58. C2×C4×C22⋊D71C22semidirect
59. C2×C4×C22⋊D71C22semidirect
63. C2×(C22⋊D71)⋊C4C22semidirect
64. C2×(C22⋊D71)⋊C4C22semidirect
65. C2×(C22⋊D71)⋊C4C22semidirect
66. C2×(C22⋊D71)⋊C4C22semidirect
68. C2×#14556084C22semidirect
69. C2×#14556084C22semidirect
70. C2×C4⋊C4×D71C22semidirect
71. C2×C4⋊C4×D71C22semidirect
72. C2×C4⋊C4×D71C22semidirect
73. C22×C22⋊Dic71C22semidirect
74. C22×C22⋊Dic71C22semidirect
79. C2×C22⋊C4×D71C22semidirect
80. C2×C42×D71C22semidirect
81. #17985902C22semidirect
82. #17985899C22semidirect
83. #17985899C22semidirect
84. #17985897C22semidirect
85. #17985896C22semidirect
86. #17985895C22semidirect
87. #17985894C22semidirect
88. #17985893C22semidirect
89. #17985893C22semidirect
90. #17985893C22semidirect
91. #17985893C22semidirect
92. #17985892C22semidirect
93. #17985892C22semidirect
94. #17985891C22semidirect
95. #17985890C22semidirect
96. #17985889C22semidirect
97. #17985888C22semidirect
98. #17985887C22semidirect
99. #17985887C22semidirect
100. #17985887C22semidirect
101. #17985887C22semidirect
102. #17985886C22semidirect
103. #17985884C22semidirect
104. #17985884C22semidirect
105. #17985883C22semidirect
106. #17985882C22semidirect
107. #17985882C22semidirect
108. #17985881C22semidirect
109. #17985880C22semidirect
111. #17985879C22semidirect
112. #17985879C22semidirect
114. #17985878C22semidirect
115. #17985877C22semidirect
116. #17985877C22semidirect
118. #17985876C22semidirect
123. #17985875C22semidirect
124. #17985875C22semidirect
125. #17985875C22semidirect
126. #17985875C22semidirect
127. #17985875C22semidirect
128. #17985875C22semidirect
129. #17985875C22semidirect
130. #17985875C22semidirect
131. #17985874C22semidirect
132. #17985874C22semidirect
133. #17985873C22semidirect
134. #17985873C22semidirect
135. #17985873C22semidirect
136. #17985872C22semidirect
137. #17985872C22semidirect
138. #17985872C22semidirect
139. #17985871C22semidirect
140. #17985871C22semidirect
141. #17985871C22semidirect
142. #17985870C22semidirect
143. #17985870C22semidirect
144. #17985870C22semidirect
145. #17985861C22semidirect
146. #17985861C22semidirect
147. #17985854C22semidirect
148. #17985854C22semidirect
149. C4⋊C4×Dic71C22semidirect
150. C4×Dic71⋊C4C22semidirect
151. C4×C4⋊Dic71C22semidirect
152. #17985850C22semidirect
153. C22⋊C4×Dic71C22semidirect
154. C22⋊C4×Dic71C22semidirect
155. C22⋊C4×Dic71C22semidirect
156. C22⋊C4×Dic71C22semidirect
157. C22⋊C4×Dic71C22semidirect
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×C22⋊Dic71C22semidirect
164. C4×C22⋊Dic71C22semidirect
165. C4×C22⋊Dic71C22semidirect
166. #17985846C22semidirect
167. #17985846C22semidirect
168. #17985846C22semidirect
169. #17985846C22semidirect
170. #17985846C22semidirect
171. C2×C71⋊#95C22semidirect
172. C2×C71⋊#95C22semidirect
173. #95×D71C22semidirect
174. #95×D71C22semidirect
177. C2×C4×D4×C71C22semidirect
178. C22×C22⋊C4×C71C22semidirect
179. C22×C22⋊C4×C71C22semidirect
180. #390×C71C22semidirect
181. #388×C71C22semidirect
182. #388×C71C22semidirect
184. #386×C71C22semidirect
185. #386×C71C22semidirect
186. #385×C71C22semidirect
187. #385×C71C22semidirect
188. C4×C22⋊C4×C71C22semidirect
189. C4×C22⋊C4×C71C22semidirect
195. C22×C22⋊D71C2×C4semidirect
206. C2×D4×D71C2×C4semidirect
232. #14556112C2×C4semidirect
233. #14556110C2×C4semidirect
234. #14556110C2×C4semidirect
235. #14556109C2×C4semidirect
236. #14556101C2×C4semidirect
237. #14556101C2×C4semidirect
238. #14556099C2×C4semidirect
239. #14556099C2×C4semidirect
240. #14556097C2×C4semidirect
241. #14556096C2×C4semidirect
242. #14556096C2×C4semidirect
322. C22⋊C4×D71C2×C4semidirect
323. C22⋊C4×D71D4semidirect
373. #120×C71C2×C4semidirect
445. C2×C22⋊D71C22×C4semidirect
446. C2×C22⋊D71C22×C4semidirect
447. C2×C22⋊D71C22×C4semidirect
448. C2×C22⋊D71C22×C4semidirect
467. C22×Dic71C22×C4semidirect
518. C2×C4×D71C22×C4semidirect
519. C2×C4×D71C22×C4semidirect
525. C4⋊Dic71C22×C4semidirect
526. C4⋊Dic71C22×C4semidirect
537. Dic71⋊C4C22×C4semidirect
538. Dic71⋊C4C22×C4semidirect
549. C22⋊Dic71C22×C4semidirect
550. C22⋊Dic71C22×C4semidirect
551. C22⋊Dic71C22×C4semidirect
552. C22⋊Dic71C22×C4semidirect
553. C22⋊Dic71C22×C4semidirect
569. (C2×D71)⋊C4C22×C4semidirect
570. (C2×D71)⋊C4C22×C4semidirect
592. C24×C71C22×C4semidirect
604. C2×D4×C71C22×C4semidirect
605. C2×D4×C71C22×C4semidirect
645. C22⋊C4×C71C22×C4semidirect
646. C22⋊C4×C71C22×C4semidirect
647. C22⋊C4×C71C22×C4semidirect
715. C22×D71C4×D4semidirect
947. #2358D71semidirect
960. C71#34264semidirect
999. C2×C4×D4C2×D71semidirect
1012. C22×C22⋊C4C2×D71semidirect
1013. C22×C22⋊C4C2×D71semidirect
1018. #390C2×D71semidirect
1037. #388C2×D71semidirect
1038. #388C2×D71semidirect
1069. #386C2×D71semidirect
1070. #386C2×D71semidirect
1085. #385C2×D71semidirect
1086. #385C2×D71semidirect
1113. C4×C22⋊C4C2×D71semidirect
1114. C4×C22⋊C4C2×D71semidirect
1181. #120C4×D71semidirect
1356. C24C2×C4×D71semidirect
1397. C2×D4C2×C4×D71semidirect
1398. C2×D4C2×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×#179865592
C2×#179864722
C2×C4×D4×D712
#225913912
#225913892
#225913842
#225913612
#225913592
#225913532
#225913522
#225913382
#225913342
#225913302
#225913262
#225913242
#225913192
#225910102
#225910072
#225909992
#225909962
#225909142
#225908672
C4×#145561102
#225908452
C4×#145560962
C2×#179858752
#385×D712
#225906922
C71×#23582
#3426471