Finite Group Databasebeta

← #32164990

Subgroups — #32164990

Order 18176.

3910 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986509C211yesmaximal, characteristic, complemented
2C2×#17986507C211yesmaximal, characteristic, complemented
3C2×C4×D4×D71C211yesmaximal, characteristic, complemented
4C2×C4×D4×D71C211yesmaximal, characteristic, complemented
5#22592331C211yesmaximal, characteristic, complemented
6#22592234C211yesmaximal, characteristic, complemented
7#22592217C211yesmaximal, characteristic, complemented
8#22592154C211yesmaximal, characteristic, complemented
9#22592148C211yesmaximal, characteristic, complemented
10#22592082C211yesmaximal, characteristic, complemented
11#22592072C211yesmaximal, characteristic, complemented
12#22592002C211yesmaximal, characteristic, complemented
13#22591883C211yesmaximal, characteristic, complemented
14#22591873C211yesmaximal, characteristic, complemented
15#22591807C211yesmaximal, characteristic, complemented
16#22591801C211yesmaximal, characteristic, complemented
17#22591707C211yesmaximal, characteristic, complemented
18#22591707C211yesmaximal, characteristic, complemented
19#22591649C211yesmaximal, characteristic, complemented
20#22591618C211yesmaximal, characteristic, complemented
21#22591585C211yesmaximal, characteristic, complemented
22#22591575C211yesmaximal, characteristic, complemented
23#22591552C211yesmaximal, characteristic, complemented
24#22590856C211yesmaximal, characteristic, complemented
25#22590852C211yesmaximal, characteristic, complemented
26#22590845C211yesmaximal, characteristic, complemented
27#22590845C211yesmaximal, characteristic, complemented
28#22590841C211yesmaximal, characteristic, complemented
29#22590782C211yesmaximal, characteristic, complemented
30#22590778C211yesmaximal, characteristic, complemented
31C71×#2456C211yesmaximal, characteristic, complemented
32C22×#11765864C2211yescharacteristic, complemented
33C22×D4×D71C2211yescharacteristic
34C22×D4×D71C2211yescharacteristic
35C23×C4×D71C2211yescharacteristic
36C23×C4×D71C2211yescharacteristic, complemented
37C23×C4×D71C2211yescharacteristic, complemented
38#17986509—28no—
39#17986507—28no—
40C2×#14556111C2211yescharacteristic, complemented
41C2×#14556110C2211yescharacteristic, complemented
42C2×#14556110C2211yescharacteristic, complemented
43C2×#14556108C2211yescharacteristic, complemented
44C2×#14556107C2211yescharacteristic, complemented
45C2×#14556106C2211yescharacteristic, complemented
46C2×#14556106C2211yescharacteristic, complemented
47C2×#14556101C2211yescharacteristic
48C2×#14556101C2211yescharacteristic
49C2×#14556101C2211yescharacteristic, complemented
50C2×#14556099C2211yescharacteristic
51C2×#14556099C2211yescharacteristic
52C2×#14556098C2211yescharacteristic
53C2×#14556098C2211yescharacteristic
54C2×#14556096C2211yescharacteristic
55C2×#14556096C2211yescharacteristic
56C2×#14556096C2211yescharacteristic
57C2×#14556096C2211yescharacteristic, complemented
58C2×#14556096C2211yescharacteristic, complemented
59C2×C4×D284C2211yescharacteristic
60C2×C4×D284C2211yescharacteristic
61C2×D4×Dic71C2211yescharacteristic, complemented
62C2×D4×Dic71C2211yescharacteristic, complemented
63C2×D4×Dic71C2211yescharacteristic, complemented
64C2×D4×Dic71C2211yescharacteristic, complemented
65C2×D4×Dic71C2211yescharacteristic, complemented
66C2×#14556090C2211yescharacteristic
67C2×#14556090C2211yescharacteristic
68C2×#14556090C2211yescharacteristic, complemented
69C2×C4×C22⋊D71C2211yescharacteristic
70C2×C4×C22⋊D71C2211yescharacteristic
71C2×C4×C22⋊D71C2211yescharacteristic, complemented
72C2×C4×C22⋊D71C2211yescharacteristic, complemented
73C2×(C22⋊D71)⋊C4C2211yescharacteristic
74C2×(C22⋊D71)⋊C4C2211yescharacteristic
75C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
76C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
77C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
78C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
79C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
80C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
81C4×D4×D71—28no—
82C4×D4×D71—28no—
83C2×#14556086C2211yescharacteristic, complemented
84C2×#14556084C2211yescharacteristic, complemented
85C2×C4⋊C4×D71C2211yescharacteristic, complemented
86C2×C4⋊C4×D71C2211yescharacteristic, complemented
87C2×C22⋊C4×D71C2211yescharacteristic
88C2×C22⋊C4×D71C2211yescharacteristic
89C2×C22⋊C4×D71C2211yescharacteristic, complemented
90C2×C22⋊C4×D71C2211yescharacteristic, complemented
91C2×C42×D71C2211yescharacteristic, complemented
92C2×C42×D71C2211yescharacteristic, complemented
93#17985936C2211yescharacteristic, complemented
94#17985935C2211yescharacteristic, complemented
95#17985935C2211yescharacteristic, complemented
96#17985935C2211yescharacteristic, complemented
97#17985932C2211yescharacteristic, complemented
98#17985931C2211yescharacteristic, complemented
99#17985928C2211yescharacteristic, complemented
100#17985924C2211yescharacteristic, complemented
101#17985922C2211yescharacteristic, complemented
102#17985922C2211yescharacteristic, complemented
103#17985921C2211yescharacteristic, complemented
104#17985920C2211yescharacteristic, complemented
105#17985916C2211yescharacteristic, complemented
106#17985915C2211yescharacteristic, complemented
107#17985915C2211yescharacteristic, complemented
108#17985915C2211yescharacteristic, complemented
109#17985915C2211yescharacteristic, complemented
110#17985913C2211yescharacteristic, complemented
111#17985913C2211yescharacteristic, complemented
112#17985913C2211yescharacteristic, complemented
113#17985913C2211yescharacteristic, complemented
114#17985911C2211yescharacteristic, complemented
115#17985908C2211yescharacteristic
116#17985907C2211yescharacteristic
117#17985907C2211yescharacteristic
118#17985907C2211yescharacteristic, complemented
119#17985907C2211yescharacteristic, complemented
120#17985907C2211yescharacteristic, complemented
121#17985899C2211yescharacteristic, complemented
122#17985897C2211yescharacteristic, complemented
123#17985894C2211yescharacteristic, complemented
124#17985893C2211yescharacteristic, complemented
125#17985893C2211yescharacteristic, complemented
126#17985892C2211yescharacteristic, complemented
127#17985890C2211yescharacteristic, complemented
128#17985890C2211yescharacteristic, complemented
129#17985888C2211yescharacteristic, complemented
130#17985885C2211yescharacteristic, complemented
131#17985883C2211yescharacteristic, complemented
132#17985881C2211yescharacteristic, complemented
133#17985878C2211yescharacteristic, complemented
134#17985877C2211yescharacteristic
135#17985877C2211yescharacteristic
136#17985877C2211yescharacteristic
137#17985877C2211yescharacteristic
138#17985877C2211yescharacteristic, complemented
139#17985875C2211yescharacteristic
140#17985875C2211yescharacteristic
141#17985875C2211yescharacteristic
142#17985875C2211yescharacteristic
143#17985875C2211yescharacteristic, complemented
144#17985875C2211yescharacteristic, complemented
145#17985875C2211yescharacteristic, complemented
146#17985875C2211yescharacteristic, complemented
147#17985875C2211yescharacteristic, complemented
148#17985873C2211yescharacteristic, complemented
149#17985873C2211yescharacteristic, complemented
150#17985873C2211yescharacteristic, complemented
151#17985873C2211yescharacteristic, complemented
152#17985873C2211yescharacteristic, complemented
153#17985873C2211yescharacteristic, complemented
154#17985872C2211yescharacteristic, complemented
155#17985872C2211yescharacteristic, complemented
156#17985870C2211yescharacteristic, complemented
157#17985870C2211yescharacteristic, complemented
158#17985870C2211yescharacteristic, complemented
159#17985870C2211yescharacteristic, complemented
160#17985858C2211yescharacteristic, complemented
161#17985856C2211yescharacteristic, complemented
162#17985854C2211yescharacteristic
163#17985854C2211yescharacteristic, complemented
164#17985854C2211yescharacteristic, complemented
165C4⋊C4×Dic71C2211yescharacteristic, complemented
166#17985850C2211yescharacteristic, complemented
167C22⋊C4×Dic71C2211yescharacteristic, complemented
168C22⋊C4×Dic71C2211yescharacteristic, complemented
169C22⋊C4×Dic71C2211yescharacteristic, complemented
170C22⋊C4×Dic71C2211yescharacteristic, complemented
171#17985846C2211yescharacteristic, complemented
172#17985846C2211yescharacteristic, complemented
173#17985846C2211yescharacteristic, complemented
174#17985846C2211yescharacteristic, complemented
175#17985844C2211yescharacteristic, complemented
176C2×#123×C71C2211yescharacteristic, complemented
177C2×#121×C71C2211yescharacteristic, complemented
178C2×C4×D4×C71C2211yescharacteristic, complemented
179C2×C4×D4×C71C2211yescharacteristic, complemented
180#396×C71C2211yescharacteristic, complemented
181#392×C71C2211yescharacteristic
182#392×C71C2211yescharacteristic, complemented
183#392×C71C2211yescharacteristic, complemented
184#390×C71C2211yescharacteristic, complemented
185#388×C71C2211yescharacteristic, complemented
186#388×C71C2211yescharacteristic, complemented
187#387×C71C2211yescharacteristic, complemented
188#386×C71C2211yescharacteristic, complemented
189#386×C71C2211yescharacteristic, complemented
190#385×C71C2211yescharacteristic, complemented
191C24×D71C2311yescharacteristic
192C24×D71C2311yescharacteristic
193C24×D71C2311yescharacteristic
194C2×#11765864—24no—
195C2×#11765864—24no—
196C2×#11765864—42no—
197C22×Dic142C2311yescharacteristic
198C22×D284C2311yescharacteristic
199C22×D284C2311yescharacteristic
200C22×D284C2311yescharacteristic
201C22×C22⋊D71C2311yescharacteristic
202C22×C22⋊D71C2311yescharacteristic
203C22×C22⋊D71C2311yescharacteristic
204C22×C22⋊D71C2311yescharacteristic
205C22×C22⋊D71C2311yescharacteristic
206C22×C22⋊D71C2311yescharacteristic
207C22×C22⋊D71C2311yescharacteristic
208C22×C22⋊D71C2311yescharacteristic
209C22×C22⋊D71C2311yescharacteristic
210C22×C22⋊D71C2311yescharacteristic
211C2×D4×D71—24no—
212C2×D4×D71—24no—
213C2×D4×D71—24no—
214C2×D4×D71—24no—
215C2×D4×D71—24no—
216C2×D4×D71—24no—
217C23×Dic71C2311yescharacteristic
218C23×Dic71C2311yescharacteristic
219C23×Dic71C2311yescharacteristic
220C23×Dic71C2311yescharacteristic
221C22×C4×D71—24no—
222C22×C4×D71—24no—
223C22×C4×D71—24no—
224C22×C4×D71—24no—
225C22×C4×D71—24no—
226C22×C4×D71—24no—
227C22×C4×D71—42no—
228C22×C4×D71—42no—
229C22×C4×D71—42no—
230C22×C4×D71C2311yescharacteristic
231C22×C4×D71C2311yescharacteristic
232C22×C4×D71C2311yescharacteristic
233C22×C4×D71C2311yescharacteristic
234C22×C4×D71C2311yescharacteristic
235C22×C4×D71C2311yescharacteristic
236C22×C4×D71C2311yescharacteristic
237C22×C4×D71C2311yescharacteristic
238C22×C4×D71C2311yescharacteristic
239C22×C4×D71C2311yescharacteristic
240C22×C4×D71C2311yescharacteristic
241C22×C4×D71C2311yescharacteristic
242C22×C4×D71C2311yescharacteristic
243C22×C4×D71C2311yescharacteristic
244#14556111—24no—
245#14556110—24no—
246#14556110—24no—
247#14556108—24no—
248#14556107—24no—
249#14556106—24no—
250#14556106—24no—
251#14556101—24no—
252#14556101—24no—
253#14556101—24no—
254#14556099—24no—
255#14556099—24no—
256#14556098—24no—
257#14556098—24no—
258#14556096—24no—
259#14556096—24no—
260#14556096—24no—
261#14556096—24no—
262#14556096—24no—
263C4×D284—24no—
264C4×D284—24no—
265D4×Dic71—24no—
266D4×Dic71—24no—
267D4×Dic71—24no—
268D4×Dic71—24no—
269D4×Dic71—42no—
270#14556090—24no—
271#14556090—24no—
272#14556090D418yescomplemented
273C4×C22⋊D71—24no—
274C4×C22⋊D71—24no—
275C4×C22⋊D71—24no—
276C4×C22⋊D71—24no—
277(C22⋊D71)⋊C4—24no—
278(C22⋊D71)⋊C4—24no—
279(C22⋊D71)⋊C4—24no—
280(C22⋊D71)⋊C4—24no—
281(C22⋊D71)⋊C4—24no—
282(C22⋊D71)⋊C4—24no—
283(C22⋊D71)⋊C4—42no—
284(C22⋊D71)⋊C4D418yescomplemented
285#14556086—24no—
286#14556084—24no—
287C2×C4⋊Dic71C2311yescharacteristic
288C2×C4⋊Dic71C2311yescharacteristic
289C2×C4⋊Dic71C2311yescharacteristic
290C2×C4⋊Dic71C2311yescharacteristic
291C2×C4⋊Dic71C2311yescharacteristic
292C2×C4⋊Dic71C2311yescharacteristic
293C2×C4⋊Dic71C2311yescharacteristic
294C2×Dic71⋊C4C2311yescharacteristic
295C2×Dic71⋊C4C2311yescharacteristic
296C2×Dic71⋊C4C2311yescharacteristic
297C2×Dic71⋊C4C2311yescharacteristic
298C2×Dic71⋊C4C2311yescharacteristic
299C2×Dic71⋊C4C2311yescharacteristic
300C2×Dic71⋊C4C2311yescharacteristic
301C2×Dic71⋊C4C2311yescharacteristic
302C2×Dic71⋊C4C2311yescharacteristic
303C2×Dic71⋊C4C2311yescharacteristic
304C2×Dic71⋊C4C2311yescharacteristic
305C2×Dic71⋊C4C2311yescharacteristic
306C4⋊C4×D71—24no—
307C4⋊C4×D71—24no—
308C2×C22⋊Dic71C2311yescharacteristic
309C2×C22⋊Dic71C2311yescharacteristic
310C2×C22⋊Dic71C2311yescharacteristic
311C2×C22⋊Dic71C2311yescharacteristic
312C2×C22⋊Dic71C2311yescharacteristic
313C2×C22⋊Dic71C2311yescharacteristic
314C2×C22⋊Dic71C2311yescharacteristic
315C2×C22⋊Dic71C2311yescharacteristic
316C2×C22⋊Dic71C2311yescharacteristic
317C2×C22⋊Dic71C2311yescharacteristic
318C2×C22⋊Dic71C2311yescharacteristic
319C2×C22⋊Dic71C2311yescharacteristic
320C2×C22⋊Dic71C2311yescharacteristic
321C2×C22⋊Dic71C2311yescharacteristic
322C2×C22⋊Dic71C2311yescharacteristic
323C2×(C2×D71)⋊C4C2311yescharacteristic
324C2×(C2×D71)⋊C4C2311yescharacteristic
325C2×(C2×D71)⋊C4C2311yescharacteristic
326C2×(C2×D71)⋊C4C2311yescharacteristic
327C2×(C2×D71)⋊C4C2311yescharacteristic
328C2×(C2×D71)⋊C4C2311yescharacteristic
329C2×(C2×D71)⋊C4C2311yescharacteristic
330C2×(C2×D71)⋊C4C2311yescharacteristic
331C2×(C2×D71)⋊C4C2311yescharacteristic
332C2×(C2×D71)⋊C4C2311yescharacteristic
333C2×(C2×D71)⋊C4C2311yescharacteristic
334C2×(C2×D71)⋊C4C2311yescharacteristic
335C2×(C2×D71)⋊C4C2311yescharacteristic
336C2×(C2×D71)⋊C4C2311yescharacteristic
337C2×(C2×D71)⋊C4C2311yescharacteristic
338C2×(C2×D71)⋊C4C2311yescharacteristic
339C2×(C2×D71)⋊C4C2311yescharacteristic
340C2×(C2×D71)⋊C4C2311yescharacteristic
341C2×(C2×D71)⋊C4C2311yescharacteristic
342C2×(C2×D71)⋊C4C2311yescharacteristic
343C2×(C2×D71)⋊C4C2311yescharacteristic
344C2×(C2×D71)⋊C4C2311yescharacteristic
345C2×(C2×D71)⋊C4C2311yescharacteristic
346C2×(C2×D71)⋊C4C2311yescharacteristic
347C22⋊C4×D71—24no—
348C22⋊C4×D71—24no—
349C22⋊C4×D71—24no—
350C22⋊C4×D71—24no—
351C2×C4×Dic71C2311yescharacteristic
352C2×C4×Dic71C2311yescharacteristic
353C2×C4×Dic71C2311yescharacteristic
354C2×C4×Dic71C2311yescharacteristic
355C2×C4×Dic71C2311yescharacteristic
356C2×C4×Dic71C2311yescharacteristic
357C2×C4×Dic71C2311yescharacteristic
358C2×C4×Dic71C2311yescharacteristic
359C2×C4×Dic71C2311yescharacteristic
360C42×D71—24no—
361C42×D71—24no—
362C71⋊#95C2311yescharacteristic
363C71⋊#95C2311yescharacteristic
364C71⋊#95C2311yescharacteristic
365C71⋊#95C2311yescharacteristic
366C71⋊#95C2311yescharacteristic
367C71⋊#95C2311yescharacteristic
368C71⋊#95C2311yescharacteristic
369C71⋊#95C2311yescharacteristic
370C71⋊#95C2311yescharacteristic
371C71⋊#95C2311yescharacteristic
372C71⋊#95C2311yescharacteristic
373C71⋊#95C2311yescharacteristic
374C71⋊#95C2311yescharacteristic
375C71⋊#95C2311yescharacteristic
376C71⋊#95C2311yescharacteristic
377C71⋊#95C2311yescharacteristic
378C71⋊#95C2311yescharacteristic
379C71⋊#95C2311yescharacteristic
380C22×D4×C71C2311yescharacteristic
381C22×D4×C71C2311yescharacteristic
382C22×D4×C71C2311yescharacteristic
383C22×D4×C71C2311yescharacteristic
384C22×D4×C71C2311yescharacteristic
385C22×D4×C71C2311yescharacteristic
386C23×C4×C71C2311yescharacteristic
387C23×C4×C71C2311yescharacteristic
388C23×C4×C71C2311yescharacteristic
389#123×C71—24no—
390#121×C71—24no—
391C4×D4×C71—24no—
392C4×D4×C71—24no—
393C2×C4⋊C4×C71C2311yescharacteristic
394C2×C4⋊C4×C71C2311yescharacteristic
395C2×C4⋊C4×C71C2311yescharacteristic
396C2×C4⋊C4×C71C2311yescharacteristic
397C2×C4⋊C4×C71C2311yescharacteristic
398C2×C22⋊C4×C71C2311yescharacteristic
399C2×C22⋊C4×C71C2311yescharacteristic
400C2×C22⋊C4×C71C2311yescharacteristic
401C2×C22⋊C4×C71C2311yescharacteristic
402C2×C22⋊C4×C71C2311yescharacteristic
403C2×C22⋊C4×C71C2311yescharacteristic
404C2×C22⋊C4×C71C2311yescharacteristic
405C2×C22⋊C4×C71C2311yescharacteristic
406C2×C22⋊C4×C71C2311yescharacteristic
407C2×C22⋊C4×C71C2311yescharacteristic
408C2×C22⋊C4×C71C2311yescharacteristic
409C2×C22⋊C4×C71C2311yescharacteristic
410C2×C22⋊C4×C71C2311yescharacteristic
411C2×C42×C71C2311yescharacteristic
412C2×C42×C71C2311yescharacteristic
413#95×C71C2311yescharacteristic
414#95×C71C2311yescharacteristic
415#95×C71C2311yescharacteristic
416#95×C71C2311yescharacteristic
417#95×C71C2311yescharacteristic
418#95×C71C2311yescharacteristic
419C23×D71—22no—
420C23×D71—22no—
421C23×D71—22no—
422C23×D71—22no—
423C23×D71—22no—
424C23×D71—22no—
425C23×D71—22no—
426C23×D71—22no—
427C23×D71—22no—
428C23×D71—22no—
429C23×D71—22no—
430C23×D71—22no—
431C23×D71—22no—
432C23×D71—22no—
433C23×D71—41no—
434C23×D71—41no—
435C23×D71—41no—
436C23×D71—41no—
437C23×D71—41no—
438C23×D71—41no—
439C23×D71#4114yescomplemented
440C23×D71C2411yescharacteristic
441C23×D71C2411yescharacteristic
442C23×D71C2411yescharacteristic
443C23×D71C2411yescharacteristic
444#11765864—416no—
445C2×Dic142—22no—
446C2×Dic142—22no—
447C2×Dic142—41no—
448C2×D284—22no—
449C2×D284—22no—
450C2×D284—22no—
451C2×D284—22no—
452C2×D284—22no—
453C2×D284—22no—
454C2×D284—41no—
455C2×D284C2×D414yes—
456C2×D284#4114yescomplemented
457C2×C22⋊D71—22no—
458C2×C22⋊D71—22no—
459C2×C22⋊D71—22no—
460C2×C22⋊D71—22no—
461C2×C22⋊D71—22no—
462C2×C22⋊D71—22no—
463C2×C22⋊D71—22no—
464C2×C22⋊D71—22no—
465C2×C22⋊D71—22no—
466C2×C22⋊D71—22no—
467C2×C22⋊D71—22no—
468C2×C22⋊D71—22no—
469C2×C22⋊D71—22no—
470C2×C22⋊D71—22no—
471C2×C22⋊D71—22no—
472C2×C22⋊D71—22no—
473C2×C22⋊D71—22no—
474C2×C22⋊D71—22no—
475C2×C22⋊D71—22no—
476C2×C22⋊D71—22no—
477C2×C22⋊D71—22no—
478C2×C22⋊D71—22no—
479C2×C22⋊D71—22no—
480C2×C22⋊D71—22no—
481C2×C22⋊D71—41no—
482C2×C22⋊D71—41no—
483C2×C22⋊D71—41no—
484C2×C22⋊D71—41no—
485C2×C22⋊D71C2×D414yes—
486C2×C22⋊D71#4114yescomplemented
487D4×D71—232no—
488D4×D71—232no—
489C22×Dic71—22no—
490C22×Dic71—22no—
491C22×Dic71—22no—
492C22×Dic71—22no—
493C22×Dic71—22no—
494C22×Dic71—22no—
495C22×Dic71—22no—
496C22×Dic71—22no—
497C22×Dic71—22no—
498C22×Dic71—22no—
499C22×Dic71—22no—
500C22×Dic71C2×D414yescomplemented
501C22×Dic71C2411yescharacteristic
502C22×Dic71C2411yescharacteristic
503C22×Dic71C2411yescharacteristic
504C22×Dic71C2411yescharacteristic
505C22×Dic71C2411yescharacteristic
506C22×Dic71C2411yescharacteristic
507C22×Dic71C2411yescharacteristic
508C22×Dic71C2411yescharacteristic
509C22×Dic71C2411yescharacteristic
510C22×Dic71C2411yescharacteristic
511C22×Dic71C2411yescharacteristic
512C22×Dic71C2411yescharacteristic
513C2×C4×D71—22no—
514C2×C4×D71—22no—
515C2×C4×D71—22no—
516C2×C4×D71—22no—
517C2×C4×D71—22no—
518C2×C4×D71—22no—
519C2×C4×D71—22no—
520C2×C4×D71—22no—
521C2×C4×D71—22no—
522C2×C4×D71—22no—
523C2×C4×D71—22no—
524C2×C4×D71—22no—
525C2×C4×D71—22no—
526C2×C4×D71—22no—
527C2×C4×D71—22no—
528C2×C4×D71—22no—
529C2×C4×D71—22no—
530C2×C4×D71—22no—
531C2×C4×D71—22no—
532C2×C4×D71—22no—
533C2×C4×D71—22no—
534C2×C4×D71—22no—
535C2×C4×D71—22no—
536C2×C4×D71—22no—
537C2×C4×D71—22no—
538C2×C4×D71—22no—
539C2×C4×D71—22no—
540C2×C4×D71—22no—
541C2×C4×D71—22no—
542C2×C4×D71—22no—
543C2×C4×D71—22no—
544C2×C4×D71—416no—
545C2×C4×D71—416no—
546C2×C4×D71—416no—
547C2×C4×D71—41no—
548C2×C4×D71—41no—
549C2×C4×D71—41no—
550C2×C4×D71—41no—
551C2×C4×D71—41no—
552C2×C4×D71—41no—
553C2×C4×D71—41no—
554C2×C4×D71—41no—
555C2×C4×D71C2×D414yes—
556C2×C4×D71C2×D414yes—
557C2×C4×D71C2×D414yescomplemented
558C4⋊Dic71—22no—
559C4⋊Dic71—22no—
560C4⋊Dic71—22no—
561C4⋊Dic71—22no—
562C4⋊Dic71—22no—
563C4⋊Dic71—22no—
564C4⋊Dic71—41no—
565Dic71⋊C4—22no—
566Dic71⋊C4—22no—
567Dic71⋊C4—22no—
568Dic71⋊C4—22no—
569Dic71⋊C4—22no—
570Dic71⋊C4—22no—
571Dic71⋊C4—22no—
572Dic71⋊C4—22no—
573Dic71⋊C4—22no—
574Dic71⋊C4—41no—
575Dic71⋊C4—41no—
576Dic71⋊C4C2×D414yescomplemented
577C22⋊Dic71—22no—
578C22⋊Dic71—22no—
579C22⋊Dic71—22no—
580C22⋊Dic71—22no—
581C22⋊Dic71—22no—
582C22⋊Dic71—22no—
583C22⋊Dic71—22no—
584C22⋊Dic71—22no—
585C22⋊Dic71—22no—
586C22⋊Dic71—22no—
587C22⋊Dic71—22no—
588C22⋊Dic71—22no—
589C22⋊Dic71—22no—
590C22⋊Dic71—41no—
591C22⋊Dic71—41no—
592(C2×D71)⋊C4—22no—
593(C2×D71)⋊C4—22no—
594(C2×D71)⋊C4—22no—
595(C2×D71)⋊C4—22no—
596(C2×D71)⋊C4—22no—
597(C2×D71)⋊C4—22no—
598(C2×D71)⋊C4—22no—
599(C2×D71)⋊C4—22no—
600(C2×D71)⋊C4—22no—
601(C2×D71)⋊C4—22no—
602(C2×D71)⋊C4—22no—
603(C2×D71)⋊C4—22no—
604(C2×D71)⋊C4—22no—
605(C2×D71)⋊C4—22no—
606(C2×D71)⋊C4—22no—
607(C2×D71)⋊C4—22no—
608(C2×D71)⋊C4—22no—
609(C2×D71)⋊C4—22no—
610(C2×D71)⋊C4—22no—
611(C2×D71)⋊C4—41no—
612(C2×D71)⋊C4—41no—
613(C2×D71)⋊C4C2×D414yes—
614(C2×D71)⋊C4C2×D414yes—
615(C2×D71)⋊C4C2×D414yescomplemented
616C4×Dic71—22no—
617C4×Dic71—22no—
618C4×Dic71—22no—
619C4×Dic71—22no—
620C4×Dic71—22no—
621C4×Dic71—22no—
622C4×Dic71—22no—
623C4×Dic71C2×D414yescomplemented
624C4×Dic71C2×D414yescomplemented
625C24×C71C2411yescharacteristic
626C24×C71C2411yescharacteristic
627C24×C71C2411yescharacteristic
628C24×C71C2411yescharacteristic
629C2×D4×C71—22no—
630C2×D4×C71—22no—
631C2×D4×C71—22no—
632C2×D4×C71—22no—
633C2×D4×C71—22no—
634C2×D4×C71—22no—
635C2×D4×C71—22no—
636C2×D4×C71—22no—
637C2×D4×C71—22no—
638C2×D4×C71—22no—
639C2×D4×C71—22no—
640C2×D4×C71—22no—
641C2×D4×C71—22no—
642C2×D4×C71—41no—
643C2×D4×C71—41no—
644C2×D4×C71—41no—
645C2×D4×C71—41no—
646C2×D4×C71—41no—
647C22×C4×C71—22no—
648C22×C4×C71—22no—
649C22×C4×C71—22no—
650C22×C4×C71—22no—
651C22×C4×C71—22no—
652C22×C4×C71—22no—
653C22×C4×C71—41no—
654C22×C4×C71—41no—
655C22×C4×C71—41no—
656C22×C4×C71C2411yescharacteristic
657C22×C4×C71C2411yescharacteristic
658C22×C4×C71C2411yescharacteristic
659C22×C4×C71C2411yescharacteristic
660C22×C4×C71C2411yescharacteristic
661C22×C4×C71C2411yescharacteristic
662C22×C4×C71C2411yescharacteristic
663C22×C4×C71C2411yescharacteristic
664C22×C4×C71C2411yescharacteristic
665C22×C4×C71C2411yescharacteristic
666C22×C4×C71C2411yescharacteristic
667C4⋊C4×C71—22no—
668C4⋊C4×C71—22no—
669C4⋊C4×C71—22no—
670C4⋊C4×C71—41no—
671C4⋊C4×C71C2×D414yescomplemented
672C22⋊C4×C71—22no—
673C22⋊C4×C71—22no—
674C22⋊C4×C71—22no—
675C22⋊C4×C71—22no—
676C22⋊C4×C71—22no—
677C22⋊C4×C71—22no—
678C22⋊C4×C71—22no—
679C22⋊C4×C71—22no—
680C22⋊C4×C71—22no—
681C22⋊C4×C71—41no—
682C22⋊C4×C71—41no—
683C22⋊C4×C71—41no—
684C22⋊C4×C71C2×D414yescomplemented
685C42×C71—22no—
686C42×C71—22no—
687C23×C71—21no—
688C23×C71—21no—
689C23×C71—21no—
690C23×C71—21no—
691C23×C71—21no—
692C23×C71—21no—
693C23×C71—21no—
694C23×C71—21no—
695C23×C71—21no—
696C23×C71—21no—
697C23×C71—21no—
698C23×C71—21no—
699C23×C71—21no—
700C23×C71—21no—
701C23×C71—21no—
702C23×C71—21no—
703C23×C71—21no—
704C23×C71—21no—
705C23×C71—21no—
706C23×C71—21no—
707C23×C71—21no—
708C23×C71—21no—
709C23×C71—21no—
710C23×C71—21no—
711C23×C71—21no—
712C23×C71C22×D412yes—
713C23×C71C2×#4112yes—
714C23×C71C2×#4112yes—
715C23×C71C2511yescharacteristic
716C22×D71—21no—
717C22×D71—21no—
718C22×D71—21no—
719C22×D71—21no—
720C22×D71—21no—
721C22×D71—21no—
722C22×D71—21no—
723C22×D71—21no—
724C22×D71—28no—
725C22×D71—28no—
726C22×D71—21no—
727C22×D71—21no—
728C22×D71—21no—
729C22×D71—21no—
730C22×D71—21no—
731C22×D71—21no—
732C22×D71—21no—
733C22×D71—21no—
734C22×D71—21no—
735C22×D71—21no—
736C22×D71—21no—
737C22×D71—21no—
738C22×D71—28no—
739C22×D71—28no—
740C22×D71—44no—
741C22×D71—44no—
742C22×D71—44no—
743C22×D71—44no—
744C22×D71—44no—
745C22×D71—44no—
746C22×D71—44no—
747C22×D71—44no—
748C22×D71—44no—
749C22×D71—44no—
750C22×D71—44no—
751C22×D71—44no—
752C22×D71—44no—
753C22×D71—44no—
754C22×D71—44no—
755C22×D71—44no—
756C22×D71—44no—
757C22×D71C22×D412yes—
758C22×D71C22×D412yes—
759C22×D71C22×D412yes—
760C22×D71C2×#4112yes—
761C22×D71C2×#4112yes—
762C22×D71C2×#4112yes—
763C22×D71C2×#4112yes—
764C22×D71C2×#4112yes—
765D4×C71—28no—
766D4×C71—28no—
767D4×C71—44no—
768D4×C71—44no—
769D4×C71—44no—
770D4×C71—44no—
771C2×C4×C71—21no—
772C2×C4×C71—21no—
773C2×C4×C71—21no—
774C2×C4×C71—21no—
775C2×C4×C71—21no—
776C2×C4×C71—21no—
777C2×C4×C71—21no—
778C2×C4×C71—21no—
779C2×C4×C71—21no—
780C2×C4×C71—21no—
781C2×C4×C71—21no—
782C2×C4×C71—21no—
783C2×C4×C71—21no—
784C2×C4×C71—21no—
785C2×C4×C71—21no—
786C2×C4×C71—21no—
787C2×C4×C71—21no—
788C2×C4×C71—21no—
789C2×C4×C71—21no—
790C2×C4×C71—21no—
791C2×C4×C71—21no—
792C2×C4×C71—21no—
793C2×C4×C71—21no—
794C2×C4×C71—21no—
795C2×C4×C71—21no—
796C2×C4×C71—21no—
797C2×C4×C71—21no—
798C2×C4×C71—44no—
799C2×C4×C71—44no—
800C2×C4×C71—44no—
801C2×C4×C71C22×D412yes—
802C2×C4×C71C22×D412yes—
803C2×C4×C71C22×D412yes—
804C2×C4×C71C22×D412yes—
805C2×C4×C71C22×D412yes—
806C2×C4×C71C2×#4112yes—
807C22⋊D71—28no—
808C22⋊D71—28no—
809C22⋊D71—28no—
810C22⋊D71—28no—
811C22⋊D71—44no—
812C22⋊D71—44no—
813C22⋊D71—44no—
814C22⋊D71—44no—
815C22⋊D71—44no—
816C22⋊D71—44no—
817C2×Dic71—21no—
818C2×Dic71—21no—
819C2×Dic71—21no—
820C2×Dic71—21no—
821C2×Dic71—21no—
822C2×Dic71—21no—
823C2×Dic71—21no—
824C2×Dic71—21no—
825C2×Dic71—28no—
826C2×Dic71—21no—
827C2×Dic71—21no—
828C2×Dic71—21no—
829C2×Dic71—21no—
830C2×Dic71—21no—
831C2×Dic71—21no—
832C2×Dic71—21no—
833C2×Dic71—21no—
834C2×Dic71—21no—
835C2×Dic71—21no—
836C2×Dic71—21no—
837C2×Dic71—21no—
838C2×Dic71—21no—
839C2×Dic71—21no—
840C2×Dic71—21no—
841C2×Dic71—21no—
842C2×Dic71—21no—
843C2×Dic71—21no—
844C2×Dic71—21no—
845C2×Dic71—21no—
846C2×Dic71—21no—
847C2×Dic71—44no—
848C2×Dic71—44no—
849C2×Dic71—44no—
850C2×Dic71C22×D412yes—
851C2×Dic71C22×D412yes—
852C2×Dic71C22×D412yes—
853C2×Dic71C22×D412yes—
854C2×Dic71C22×D412yes—
855C2×Dic71C2×#4112yes—
856C2×Dic71H(5,𝔽2)12yes—
857D284—28no—
858D284—28no—
859D284—44no—
860C4×D71—28no—
861C4×D71—28no—
862C4×D71—28no—
863C4×D71—28no—
864C4×D71—28no—
865C4×D71—44no—
866C4×D71—44no—
867C4×D71—44no—
868C4×D71—44no—
869C4×D71—44no—
870C4×D71—44no—
871C4×D71—44no—
872C4×D71—44no—
873C4×D71—44no—
874Dic142—44no—
875C22×C71—22no—
876C22×C71—22no—
877C22×C71—22no—
878C22×C71—22no—
879C22×C71—22no—
880C22×C71—22no—
881C22×C71—22no—
882C22×C71—22no—
883C22×C71—22no—
884C22×C71—41no—
885C22×C71—41no—
886C22×C71—41no—
887C22×C71—41no—
888C22×C71—41no—
889C22×C71—41no—
890C22×C71—41no—
891C22×C71—41no—
892C22×C71—41no—
893C22×C71—41no—
894C22×C71—41no—
895C22×C71—41no—
896C22×C71—41no—
897C22×C71—41no—
898C22×C71—41no—
899C22×C71—41no—
900C22×C71—41no—
901C22×C71—41no—
902C22×C71—41no—
903C22×C71C23×D411yescharacteristic
904C22×C71C23×D411yescharacteristic
905C22×C71C22×#4111yescharacteristic
906C22×C71C22×#4111yescharacteristic
907C22×C71C22×#4111yescharacteristic
908C22×C71C2×H(5,𝔽2)11yescharacteristic
909C22×C71#58511yescharacteristic
910C2×D71—22no—
911C2×D71—22no—
912C2×D71—22no—
913C2×D71—22no—
914C2×D71—22no—
915C2×D71—22no—
916C2×D71—22no—
917C2×D71—22no—
918C2×D71—22no—
919C2×D71—22no—
920C2×D71—22no—
921C2×D71—22no—
922C2×D71—22no—
923C2×D71—22no—
924C2×D71—22no—
925C2×D71—22no—
926C2×D71—22no—
927C2×D71—22no—
928C2×D71—416no—
929C2×D71—416no—
930C2×D71—416no—
931C2×D71—41no—
932C2×D71—41no—
933C2×D71—41no—
934C2×D71—41no—
935C2×D71—41no—
936C2×D71—41no—
937C2×D71—41no—
938C2×D71—41no—
939C2×D71#52514yescomplemented
940C2×D71#52514yescomplemented
941C4×C71—22no—
942C4×C71—22no—
943C4×C71—22no—
944C4×C71—22no—
945C4×C71—22no—
946C4×C71—22no—
947C4×C71—41no—
948C4×C71—41no—
949C4×C71—41no—
950C4×C71—41no—
951C4×C71—41no—
952Dic71—22no—
953Dic71—22no—
954Dic71—22no—
955Dic71—22no—
956Dic71—41no—
957Dic71—41no—
958Dic71—41no—
959Dic71—41no—
960Dic71—41no—
961Dic71—41no—
962Dic71—41no—
963Dic71D4214yes—
964#34655—711nomaximal, Sylow
965C2×C71—42no—
966C2×C71—42no—
967C2×C71—42no—
968C2×C71—81no—
969C2×C71C2×#52511yescharacteristic
970C2×C71C2×#52511yescharacteristic
971C2×C71#345911yescharacteristic
972C2×C71C2×D4211yescharacteristic
973C2×C71D4×#4111yescharacteristic
974C2×C71D4×#4111yescharacteristic
975C2×C71#348111yescharacteristic
976D71—24no—
977D71—24no—
978D71—42no—
979D71—42no—
980C2×#525—711no—
981C2×#525—711no—
982C22×C4×D4—711no—
983C22×C4×D4—711no—
984#2463—711no—
985#2456—711no—
986#2456D7111yescharacteristic, complemented
987#2455—711no—
988#2449—711no—
989#2449—711no—
990#2443—711no—
991#2443—711no—
992#2437—711no—
993#2424—711no—
994#2424—711no—
995#2418—711no—
996#2418—711no—
997#2410—711no—
998#2410—711no—
999#2403—711no—
1000#2397—711no—
1001#2392—711no—
1002#2392—711no—
1003#2388—711no—
1004C4×#121—711no—
1005C4×#121—711no—
1006C4×#120—711no—
1007C4×#120—711no—
1008C4×#120—711no—
1009#2290—711no—
1010#2290—711no—
1011C71#3465511yescharacteristic, complemented, Sylow
1012C22×#41—711no—
1013C23×D4—711no—
1014C23×D4—711no—
1015C24×C4—711no—
1016C24×C4—711no—
1017C24×C4—711no—
1018#525—1428no—
1019#525—1428no—
1020C2×#123—711no—
1021C2×#123—711no—
1022C2×#123—711no—
1023C2×#123C2×D7111yescharacteristic, complemented
1024C2×C22⋊Q8—711no—
1025C2×C22⋊Q8—711no—
1026C2×C22⋊Q8—711no—
1027C2×C22⋊Q8—711no—
1028C2×#121—711no—
1029C2×#121—711no—
1030C2×#121—711no—
1031C2×#121—711no—
1032C2×#121—711no—
1033C2×#121C2×D7111yescharacteristic, complemented
1034C2×#120—711no—
1035C2×#120—711no—
1036C2×#120—711no—
1037C2×#120—711no—
1038C2×#120—711no—
1039C2×#120—711no—
1040C2×#120—711no—
1041C2×C4×D4—711no—
1042C2×C4×D4—711no—
1043C2×C4×D4—711no—
1044C2×C4×D4—711no—
1045C2×C4×D4—711no—
1046C2×C4×D4—711no—
1047C2×C4×D4—711no—
1048C2×C4×D4—711no—
1049C2×C4×D4—711no—
1050C2×C4×D4—711no—
1051C2×C4×D4—711no—
1052C2×C4×D4—711no—
1053C2×C4×D4—711no—
1054C2×C4×D4—711no—
1055C2×C4×D4—711no—
1056C2×C4×D4—711no—
1057C2×C4×D4—711no—
1058C2×C4×D4—711no—
1059C2×C4×D4—711no—
1060C2×C4×D4—711no—
1061C2×C4×D4—711no—
1062C2×C4×D4—711no—
1063C2×C4×D4—1428no—
1064C2×C4×D4—1428no—
1065C2×C4×D4C2×D7111yescharacteristic, complemented
1066C2×C4×D4C2×D7111yescharacteristic, complemented
1067C2×#117—711no—
1068C2×#117—711no—
1069C22×C4⋊C4—711no—
1070C22×C4⋊C4—711no—
1071C22×C22⋊C4—711no—
1072C22×C22⋊C4—711no—
1073C22×C22⋊C4—711no—
1074C22×C22⋊C4—711no—
1075C22×C42—711no—
1076C22×C42—711no—
1077#399—711no—
1078#399—711no—
1079#399—711no—
1080#399—711no—
1081#398—711no—
1082#398—711no—
1083#397—711no—
1084#397—711no—
1085#396—711no—
1086#396—711no—
1087#396—711no—
1088#396C2×D7111yescharacteristic, complemented
1089#395—711no—
1090#394—711no—
1091#394—711no—
1092#394—711no—
1093#394—711no—
1094#394—711no—
1095#394—711no—
1096#394—711no—
1097#394—711no—
1098#394—711no—
1099#393—711no—
1100#392—711no—
1101#392—711no—
1102#392—711no—
1103#392—711no—
1104#392—711no—
1105#392—711no—
1106#392C2×D7111yescharacteristic
1107#392C2×D7111yescharacteristic, complemented
1108#392C2×D7111yescharacteristic, complemented
1109#390—711no—
1110#390C2×D7111yescharacteristic, complemented
1111#389—711no—
1112#389—711no—
1113#388—711no—
1114#388—711no—
1115#388—711no—
1116#388—711no—
1117#388—711no—
1118#388—711no—
1119#388C2×D7111yescharacteristic, complemented
1120#388C2×D7111yescharacteristic, complemented
1121#387—711no—
1122#387—711no—
1123#387—711no—
1124#387C2×D7111yescharacteristic, complemented
1125#386—711no—
1126#386—711no—
1127#386—711no—
1128#386—711no—
1129#386—711no—
1130#386—711no—
1131#386—711no—
1132#386—711no—
1133#386—711no—
1134#386—711no—
1135#386—711no—
1136#386—711no—
1137#386—711no—
1138#386—711no—
1139#386—711no—
1140#386C2×D7111yescharacteristic, complemented
1141#386C2×D7111yescharacteristic, complemented
1142#385—711no—
1143#385—711no—
1144#385—711no—
1145#385—711no—
1146#385—711no—
1147#385—711no—
1148#385—711no—
1149#385—711no—
1150#385—711no—
1151#385—711no—
1152#385—711no—
1153#385—711no—
1154#385C2×D7111yescharacteristic, complemented
1155#380—711no—
1156#380—711no—
1157#379—711no—
1158#379—711no—
1159#379—711no—
1160C4×C4⋊C4—711no—
1161C4×C4⋊C4—711no—
1162C4×C22⋊C4—711no—
1163C4×C22⋊C4—711no—
1164C4×C22⋊C4—711no—
1165C4×C22⋊C4—711no—
1166C4×C22⋊C4—711no—
1167C4×C22⋊C4—711no—
1168C4×C22⋊C4—711no—
1169C4×C22⋊C4—711no—
1170#376—711no—
1171C25—711no—
1172C25—711no—
1173C25—711no—
1174C2×#41—2842no—
1175C2×#41—1424no—
1176C2×#41—1424no—
1177C22×Q8—711no—
1178C22×D4—711no—
1179C22×D4—711no—
1180C22×D4—711no—
1181C22×D4—711no—
1182C22×D4—711no—
1183C22×D4—711no—
1184C22×D4—711no—
1185C22×D4—711no—
1186C22×D4—711no—
1187C22×D4—711no—
1188C22×D4—711no—
1189C22×D4—711no—
1190C22×D4—711no—
1191C22×D4—1424no—
1192C22×D4—1424no—
1193C22×D4—1424no—
1194C22×D4—1424no—
1195C22×D4—1424no—
1196C22×D4—1424no—
1197C22×D4C22×D7111yescharacteristic
1198C22×D4C22×D7111yescharacteristic
1199C22×D4C22×D7111yescharacteristic
1200C22×D4C22×D7111yescharacteristic
1201C22×D4C22×D7111yescharacteristic
1202C22×D4C22×D7111yescharacteristic
1203C23×C4—2842no—
1204C23×C4—2842no—
1205C23×C4—2842no—
1206C23×C4—711no—
1207C23×C4—711no—
1208C23×C4—711no—
1209C23×C4—711no—
1210C23×C4—711no—
1211C23×C4—711no—
1212C23×C4—711no—
1213C23×C4—711no—
1214C23×C4—711no—
1215C23×C4—711no—
1216C23×C4—711no—
1217C23×C4—711no—
1218C23×C4—711no—
1219C23×C4—711no—
1220C23×C4—711no—
1221C23×C4—711no—
1222C23×C4—711no—
1223C23×C4—711no—
1224C23×C4—1424no—
1225C23×C4—1424no—
1226C23×C4—1424no—
1227C23×C4—1424no—
1228C23×C4—1424no—
1229C23×C4—1424no—
1230C23×C4C22×D7111yescharacteristic
1231C23×C4C22×D7111yescharacteristic
1232C23×C4C22×D7111yescharacteristic
1233#123—24no—
1234#123—1424no—
1235#123—1424no—
1236#123—1424no—
1237C22⋊Q8—1424no—
1238C22⋊Q8—1424no—
1239C22⋊Q8—1424no—
1240C22⋊Q8—1424no—
1241#121—24no—
1242#121—1424no—
1243#121—1424no—
1244#121—1424no—
1245#121—1424no—
1246#121—1424no—
1247#120—1424no—
1248#120—1424no—
1249#120—1424no—
1250#120—1424no—
1251#120—1424no—
1252#120—1424no—
1253#120—1424no—
1254C4×D4—24no—
1255C4×D4—24no—
1256C4×D4—2842no—
1257C4×D4—2842no—
1258C4×D4—718no—
1259C4×D4—718no—
1260C4×D4—1424no—
1261C4×D4—1424no—
1262C4×D4—1424no—
1263C4×D4—1424no—
1264C4×D4—1424no—
1265C4×D4—1424no—
1266C4×D4—1424no—
1267C4×D4—1424no—
1268C4×D4—1424no—
1269C4×D4—1424no—
1270C4×D4—1424no—
1271C4×D4—1424no—
1272C4×D4—1424no—
1273C4×D4—1424no—
1274C4×D4—1424no—
1275C4×D4—1424no—
1276C4×D4—1424no—
1277C4×D4—1424no—
1278#117—1424no—
1279#117—1424no—
1280C2×C4⋊C4—711no—
1281C2×C4⋊C4—711no—
1282C2×C4⋊C4—711no—
1283C2×C4⋊C4—711no—
1284C2×C4⋊C4—711no—
1285C2×C4⋊C4—711no—
1286C2×C4⋊C4—711no—
1287C2×C4⋊C4—711no—
1288C2×C4⋊C4—711no—
1289C2×C4⋊C4—711no—
1290C2×C4⋊C4—711no—
1291C2×C4⋊C4—711no—
1292C2×C4⋊C4—711no—
1293C2×C4⋊C4—711no—
1294C2×C4⋊C4—711no—
1295C2×C4⋊C4—711no—
1296C2×C4⋊C4—711no—
1297C2×C4⋊C4—711no—
1298C2×C4⋊C4—711no—
1299C2×C4⋊C4—1424no—
1300C2×C4⋊C4—1424no—
1301C2×C4⋊C4C22×D7111yescharacteristic
1302C2×C4⋊C4C22×D7111yescharacteristic
1303C2×C4⋊C4C22×D7111yescharacteristic
1304C2×C4⋊C4C22×D7111yescharacteristic
1305C2×C4⋊C4C22×D7111yescharacteristic
1306C2×C22⋊C4—711no—
1307C2×C22⋊C4—711no—
1308C2×C22⋊C4—711no—
1309C2×C22⋊C4—711no—
1310C2×C22⋊C4—711no—
1311C2×C22⋊C4—711no—
1312C2×C22⋊C4—711no—
1313C2×C22⋊C4—711no—
1314C2×C22⋊C4—711no—
1315C2×C22⋊C4—711no—
1316C2×C22⋊C4—711no—
1317C2×C22⋊C4—711no—
1318C2×C22⋊C4—711no—
1319C2×C22⋊C4—711no—
1320C2×C22⋊C4—711no—
1321C2×C22⋊C4—711no—
1322C2×C22⋊C4—711no—
1323C2×C22⋊C4—711no—
1324C2×C22⋊C4—711no—
1325C2×C22⋊C4—711no—
1326C2×C22⋊C4—711no—
1327C2×C22⋊C4—711no—
1328C2×C22⋊C4—711no—
1329C2×C22⋊C4—711no—
1330C2×C22⋊C4—711no—
1331C2×C22⋊C4—711no—
1332C2×C22⋊C4—711no—
1333C2×C22⋊C4—711no—
1334C2×C22⋊C4—711no—
1335C2×C22⋊C4—711no—
1336C2×C22⋊C4—711no—
1337C2×C22⋊C4—711no—
1338C2×C22⋊C4—711no—
1339C2×C22⋊C4—711no—
1340C2×C22⋊C4—711no—
1341C2×C22⋊C4—711no—
1342C2×C22⋊C4—711no—
1343C2×C22⋊C4—711no—
1344C2×C22⋊C4—711no—
1345C2×C22⋊C4—1424no—
1346C2×C22⋊C4—1424no—
1347C2×C22⋊C4—1424no—
1348C2×C22⋊C4—1424no—
1349C2×C22⋊C4C22×D7111yescharacteristic
1350C2×C22⋊C4C22×D7111yescharacteristic
1351C2×C22⋊C4C22×D7111yescharacteristic
1352C2×C22⋊C4C22×D7111yescharacteristic
1353C2×C22⋊C4C22×D7111yescharacteristic
1354C2×C22⋊C4C22×D7111yescharacteristic
1355C2×C22⋊C4C22×D7111yescharacteristic
1356C2×C22⋊C4C22×D7111yescharacteristic
1357C2×C22⋊C4C22×D7111yescharacteristic
1358C2×C22⋊C4C22×D7111yescharacteristic
1359C2×C22⋊C4C22×D7111yescharacteristic
1360C2×C22⋊C4C22×D7111yescharacteristic
1361C2×C22⋊C4C22×D7111yescharacteristic
1362C2×C42—711no—
1363C2×C42—711no—
1364C2×C42—711no—
1365C2×C42—711no—
1366C2×C42—711no—
1367C2×C42—711no—
1368C2×C42—711no—
1369C2×C42—711no—
1370C2×C42—711no—
1371C2×C42—1424no—
1372C2×C42—1424no—
1373C2×C42C22×D7111yescharacteristic
1374C2×C42C22×D7111yescharacteristic
1375#95—711no—
1376#95—711no—
1377#95—711no—
1378#95—711no—
1379#95—711no—
1380#95—711no—
1381#95—711no—
1382#95—711no—
1383#95—711no—
1384#95—711no—
1385#95—711no—
1386#95—711no—
1387#95—711no—
1388#95—711no—
1389#95—711no—
1390#95—711no—
1391#95—711no—
1392#95—711no—
1393#95C22×D7111yescharacteristic
1394#95C22×D7111yescharacteristic
1395#95C22×D7111yescharacteristic
1396#95C22×D7111yescharacteristic
1397#95C22×D7111yescharacteristic
1398#95C22×D7111yescharacteristic
1399C24—2841no—
1400C24—2841no—
1401C24—2841no—
1402C24—2841no—
1403C24—2841no—
1404C24—2841no—
1405C24—714no—
1406C24—711no—
1407C24—711no—
1408C24—711no—
1409C24—711no—
1410C24—1422no—
1411C24—1422no—
1412C24—1422no—
1413C24—1422no—
1414C24—1422no—
1415C24—1422no—
1416C24—1422no—
1417C24—1422no—
1418C24—1422no—
1419C24—1422no—
1420C24—1422no—
1421C24—1422no—
1422C24—1422no—
1423C24—1422no—
1424C24C23×D7111yescharacteristic
1425C24C23×D7111yescharacteristic
1426C24C23×D7111yescharacteristic
1427C24C23×D7111yescharacteristic
1428#41—28416no—
1429C2×Q8—2841no—
1430C2×Q8—1422no—
1431C2×Q8—1422no—
1432C2×D4—22no—
1433C2×D4—22no—
1434C2×D4—22no—
1435C2×D4—22no—
1436C2×D4—22no—
1437C2×D4—22no—
1438C2×D4—22no—
1439C2×D4—22no—
1440C2×D4—22no—
1441C2×D4—22no—
1442C2×D4—22no—
1443C2×D4—22no—
1444C2×D4—22no—
1445C2×D4—41no—
1446C2×D4—41no—
1447C2×D4—41no—
1448C2×D4—41no—
1449C2×D4—41no—
1450C2×D4—2841no—
1451C2×D4—2841no—
1452C2×D4—2841no—
1453C2×D4—2841no—
1454C2×D4—2841no—
1455C2×D4—714no—
1456C2×D4—714no—
1457C2×D4—714no—
1458C2×D4—714no—
1459C2×D4—1422no—
1460C2×D4—1422no—
1461C2×D4—1422no—
1462C2×D4—1422no—
1463C2×D4—1422no—
1464C2×D4—1422no—
1465C2×D4—1422no—
1466C2×D4—1422no—
1467C2×D4—1422no—
1468C2×D4—1422no—
1469C2×D4—14232no—
1470C2×D4—14232no—
1471C2×D4—1422no—
1472C2×D4—1422no—
1473C2×D4—1422no—
1474C2×D4—1422no—
1475C2×D4—1422no—
1476C2×D4—1422no—
1477C2×D4—1422no—
1478C2×D4—1422no—
1479C2×D4—1422no—
1480C2×D4—1422no—
1481C2×D4—1422no—
1482C2×D4—1422no—
1483C2×D4—1422no—
1484C2×D4—1422no—
1485C2×D4—1422no—
1486C2×D4—1422no—
1487C2×D4—1422no—
1488C2×D4—1422no—
1489C2×D4—1422no—
1490C2×D4—1422no—
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—41no—
1498C22×C4—41no—
1499C22×C4—41no—
1500C22×C4—2841no—
1501C22×C4—2841no—
1502C22×C4—2841no—
1503C22×C4—2841no—
1504C22×C4—2841no—
1505C22×C4—2841no—
1506C22×C4—2841no—
1507C22×C4—2841no—
1508C22×C4—28416no—
1509C22×C4—28416no—
1510C22×C4—28416no—
1511C22×C4—711no—
1512C22×C4—714no—
1513C22×C4—711no—
1514C22×C4—711no—
1515C22×C4—711no—
1516C22×C4—711no—
1517C22×C4—714no—
1518C22×C4—714no—
1519C22×C4—714no—
1520C22×C4—711no—
1521C22×C4—711no—
1522C22×C4—711no—
1523C22×C4—711no—
1524C22×C4—711no—
1525C22×C4—711no—
1526C22×C4—711no—
1527C22×C4—1422no—
1528C22×C4—1422no—
1529C22×C4—1422no—
1530C22×C4—1422no—
1531C22×C4—1422no—
1532C22×C4—1422no—
1533C22×C4—1422no—
1534C22×C4—1422no—
1535C22×C4—1422no—
1536C22×C4—1422no—
1537C22×C4—1422no—
1538C22×C4—1422no—
1539C22×C4—1422no—
1540C22×C4—1422no—
1541C22×C4—1422no—
1542C22×C4—1422no—
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×C4—1422no—
1562C22×C4—1422no—
1563C22×C4—1422no—
1564C22×C4—1422no—
1565C22×C4—1422no—
1566C22×C4—1422no—
1567C22×C4—1422no—
1568C22×C4—1422no—
1569C22×C4C23×D7111yescharacteristic
1570C22×C4C23×D7111yescharacteristic
1571C22×C4C23×D7111yescharacteristic
1572C22×C4C23×D7111yescharacteristic
1573C22×C4C23×D7111yescharacteristic
1574C22×C4C23×D7111yescharacteristic
1575C22×C4C23×D7111yescharacteristic
1576C22×C4C23×D7111yescharacteristic
1577C22×C4C23×D7111yescharacteristic
1578C22×C4C23×D7111yescharacteristic
1579C22×C4C23×D7111yescharacteristic
1580C4⋊C4—22no—
1581C4⋊C4—22no—
1582C4⋊C4—22no—
1583C4⋊C4—41no—
1584C4⋊C4—2841no—
1585C4⋊C4—2841no—
1586C4⋊C4—2841no—
1587C4⋊C4—714no—
1588C4⋊C4—1422no—
1589C4⋊C4—1422no—
1590C4⋊C4—1422no—
1591C4⋊C4—1422no—
1592C4⋊C4—1422no—
1593C4⋊C4—1422no—
1594C4⋊C4—1422no—
1595C4⋊C4—1422no—
1596C4⋊C4—1422no—
1597C4⋊C4—1422no—
1598C4⋊C4—1422no—
1599C4⋊C4—1422no—
1600C4⋊C4—1422no—
1601C4⋊C4—1422no—
1602C4⋊C4—1422no—
1603C4⋊C4D4×D7114yescomplemented
1604C22⋊C4—22no—
1605C22⋊C4—22no—
1606C22⋊C4—22no—
1607C22⋊C4—22no—
1608C22⋊C4—22no—
1609C22⋊C4—22no—
1610C22⋊C4—22no—
1611C22⋊C4—22no—
1612C22⋊C4—22no—
1613C22⋊C4—41no—
1614C22⋊C4—41no—
1615C22⋊C4—41no—
1616C22⋊C4—2841no—
1617C22⋊C4—2841no—
1618C22⋊C4—2841no—
1619C22⋊C4—2841no—
1620C22⋊C4—714no—
1621C22⋊C4—714no—
1622C22⋊C4—714no—
1623C22⋊C4—1422no—
1624C22⋊C4—1422no—
1625C22⋊C4—1422no—
1626C22⋊C4—1422no—
1627C22⋊C4—1422no—
1628C22⋊C4—1422no—
1629C22⋊C4—1422no—
1630C22⋊C4—1422no—
1631C22⋊C4—1422no—
1632C22⋊C4—1422no—
1633C22⋊C4—1422no—
1634C22⋊C4—1422no—
1635C22⋊C4—1422no—
1636C22⋊C4—1422no—
1637C22⋊C4—1422no—
1638C22⋊C4—1422no—
1639C22⋊C4—1422no—
1640C22⋊C4—1422no—
1641C22⋊C4—1422no—
1642C22⋊C4—1422no—
1643C22⋊C4—1422no—
1644C22⋊C4—1422no—
1645C22⋊C4—1422no—
1646C22⋊C4—1422no—
1647C22⋊C4—1422no—
1648C22⋊C4—1422no—
1649C22⋊C4—1422no—
1650C22⋊C4—1422no—
1651C22⋊C4—1422no—
1652C22⋊C4—1422no—
1653C22⋊C4—1422no—
1654C22⋊C4—1422no—
1655C22⋊C4D4×D7114yescomplemented
1656C42—22no—
1657C42—22no—
1658C42—714no—
1659C42—714no—
1660C42—1422no—
1661C42—1422no—
1662C42—1422no—
1663C42—1422no—
1664C42—1422no—
1665C42—1422no—
1666C42—1422no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—2844no—
1693C23—2844no—
1694C23—2844no—
1695C23—2844no—
1696C23—2844no—
1697C23—2844no—
1698C23—2844no—
1699C23—2844no—
1700C23—2844no—
1701C23—2844no—
1702C23—2844no—
1703C23—2844no—
1704C23—2844no—
1705C23—2844no—
1706C23—2844no—
1707C23—2844no—
1708C23—2844no—
1709C23—712no—
1710C23—712no—
1711C23—712no—
1712C23—712no—
1713C23—712no—
1714C23—712no—
1715C23—712no—
1716C23—712no—
1717C23—1428no—
1718C23—1428no—
1719C23—1428no—
1720C23—1428no—
1721C23—1421no—
1722C23—1421no—
1723C23—1421no—
1724C23—1421no—
1725C23—1421no—
1726C23—1421no—
1727C23—1421no—
1728C23—1421no—
1729C23—1421no—
1730C23—1421no—
1731C23—1421no—
1732C23—1421no—
1733C23—1421no—
1734C23—1421no—
1735C23—1421no—
1736C23—1421no—
1737C23—1421no—
1738C23—1421no—
1739C23—1421no—
1740C23—1421no—
1741C23C2×D4×D7112yes—
1742C23#41×D7112yes—
1743C23#41×D7112yes—
1744C23C24×D7111yescharacteristic
1745Q8—2844no—
1746D4—28no—
1747D4—28no—
1748D4—44no—
1749D4—44no—
1750D4—44no—
1751D4—44no—
1752D4—2844no—
1753D4—2844no—
1754D4—2844no—
1755D4—2844no—
1756D4—2844no—
1757D4—2844no—
1758D4—2844no—
1759D4—1428no—
1760D4—1428no—
1761D4—1428no—
1762D4—1428no—
1763D4—1428no—
1764D4—1428no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—44no—
1793C2×C4—44no—
1794C2×C4—44no—
1795C2×C4—2844no—
1796C2×C4—2844no—
1797C2×C4—2844no—
1798C2×C4—2844no—
1799C2×C4—2844no—
1800C2×C4—2844no—
1801C2×C4—2844no—
1802C2×C4—2844no—
1803C2×C4—2844no—
1804C2×C4—2844no—
1805C2×C4—2844no—
1806C2×C4—2844no—
1807C2×C4—712no—
1808C2×C4—712no—
1809C2×C4—712no—
1810C2×C4—712no—
1811C2×C4—712no—
1812C2×C4—712no—
1813C2×C4—712no—
1814C2×C4—1428no—
1815C2×C4—1428no—
1816C2×C4—1428no—
1817C2×C4—1428no—
1818C2×C4—1428no—
1819C2×C4—1421no—
1820C2×C4—1421no—
1821C2×C4—1421no—
1822C2×C4—1421no—
1823C2×C4—1421no—
1824C2×C4—1421no—
1825C2×C4—1421no—
1826C2×C4—1421no—
1827C2×C4—1421no—
1828C2×C4—1421no—
1829C2×C4—1421no—
1830C2×C4—1421no—
1831C2×C4—1421no—
1832C2×C4—1421no—
1833C2×C4—1421no—
1834C2×C4—1421no—
1835C2×C4—1421no—
1836C2×C4—1421no—
1837C2×C4—1421no—
1838C2×C4—1421no—
1839C2×C4—1421no—
1840C2×C4—1428no—
1841C2×C4—1421no—
1842C2×C4—1421no—
1843C2×C4—1421no—
1844C2×C4—1421no—
1845C2×C4—1421no—
1846C2×C4—1421no—
1847C2×C4—1421no—
1848C2×C4—1421no—
1849C2×C4C2×D4×D7112yes—
1850C2×C4C2×D4×D7112yes—
1851C2×C4C2×D4×D7112yes—
1852C2×C4C2×D4×D7112yes—
1853C2×C4C2×D4×D7112yes—
1854C2×C4#41×D7112yes—
1855C22—22no—
1856C22—22no—
1857C22—22no—
1858C22—22no—
1859C22—22no—
1860C22—22no—
1861C22—22no—
1862C22—22no—
1863C22—22no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—28416no—
1884C22—28416no—
1885C22—28416no—
1886C22—2841no—
1887C22—2841no—
1888C22—2841no—
1889C22—2841no—
1890C22—2841no—
1891C22—2841no—
1892C22—2841no—
1893C22—2841no—
1894C22—714no—
1895C22—714no—
1896C22—1422no—
1897C22—1422no—
1898C22—1422no—
1899C22—1422no—
1900C22—1422no—
1901C22—1422no—
1902C22—1422no—
1903C22—1422no—
1904C22—1422no—
1905C22—1422no—
1906C22—1422no—
1907C22—1422no—
1908C22—1422no—
1909C22—1422no—
1910C22—1422no—
1911C22—1422no—
1912C22—1422no—
1913C22—1422no—
1914C22C22×D4×D7111yescharacteristic
1915C22C22×D4×D7111yescharacteristic
1916C22C2×#41×D7111yescharacteristic
1917C22C2×#41×D7111yescharacteristic
1918C22C2×#41×D7111yescharacteristic
1919C22H(5,𝔽2)×D7111yescharacteristic
1920C22#1798683411yescharacteristic
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—41no—
1931C4—41no—
1932C4—2841no—
1933C4—2841no—
1934C4—2841no—
1935C4—2841no—
1936C4—2841no—
1937C4—2841no—
1938C4—2841no—
1939C4—714no—
1940C4—1422no—
1941C4—1422no—
1942C4—1422no—
1943C4—1422no—
1944C2—42no—
1945C2—42no—
1946C2—42no—
1947C2—81no—
1948C2—2842no—
1949C2—2842no—
1950C2—1424no—
1951C2—1424no—
1952C2#525×D7111yescharacteristic
1953C2#525×D7111yescharacteristic
1954C2#2260175111yescharacteristic
1955C2D42×D7111yescharacteristic
1956C2#2260182411yescharacteristic
1957C2#2260183011yescharacteristic
1958C2#2260194711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D71
commutator, socle, cosocleC23×C71C25
FittingC71×#2456C2
hypercenter#2456D71
hypocenterC71#34655
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C23 ◁ #2456

Complements

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

NH ≅ G/Ntype
1. C2×#17986509C2semidirect
2. C2×#17986507C2semidirect
3. C2×C4×D4×D71C2semidirect
4. C2×C4×D4×D71C2semidirect
5. #22592331C2semidirect
6. #22592234C2semidirect
7. #22592217C2semidirect
8. #22592154C2semidirect
9. #22592148C2semidirect
10. #22592082C2semidirect
11. #22592072C2semidirect
12. #22592002C2semidirect
13. #22591883C2semidirect
14. #22591873C2semidirect
15. #22591807C2semidirect
16. #22591801C2semidirect
17. #22591707C2semidirect
18. #22591707C2semidirect
19. #22591649C2semidirect
20. #22591618C2semidirect
21. #22591585C2semidirect
22. #22591575C2semidirect
23. #22591552C2semidirect
24. #22590856C2semidirect
25. #22590852C2semidirect
26. #22590845C2semidirect
27. #22590845C2semidirect
28. #22590841C2semidirect
29. #22590782C2semidirect
30. #22590778C2semidirect
31. C71×#2456C2semidirect
32. C22×#11765864C22semidirect
36. C23×C4×D71C22semidirect
37. C23×C4×D71C22semidirect
40. C2×#14556111C22semidirect
41. C2×#14556110C22semidirect
42. C2×#14556110C22semidirect
43. C2×#14556108C22semidirect
44. C2×#14556107C22semidirect
45. C2×#14556106C22semidirect
46. C2×#14556106C22semidirect
49. C2×#14556101C22semidirect
57. C2×#14556096C22semidirect
58. C2×#14556096C22semidirect
61. C2×D4×Dic71C22semidirect
62. C2×D4×Dic71C22semidirect
63. C2×D4×Dic71C22semidirect
64. C2×D4×Dic71C22semidirect
65. C2×D4×Dic71C22semidirect
68. C2×#14556090C22semidirect
71. C2×C4×C22⋊D71C22semidirect
72. C2×C4×C22⋊D71C22semidirect
75. C2×(C22⋊D71)⋊C4C22semidirect
76. C2×(C22⋊D71)⋊C4C22semidirect
77. C2×(C22⋊D71)⋊C4C22semidirect
78. C2×(C22⋊D71)⋊C4C22semidirect
79. C2×(C22⋊D71)⋊C4C22semidirect
80. C2×(C22⋊D71)⋊C4C22semidirect
83. C2×#14556086C22semidirect
84. C2×#14556084C22semidirect
85. C2×C4⋊C4×D71C22semidirect
86. C2×C4⋊C4×D71C22semidirect
89. C2×C22⋊C4×D71C22semidirect
90. C2×C22⋊C4×D71C22semidirect
91. C2×C42×D71C22semidirect
92. C2×C42×D71C22semidirect
93. #17985936C22semidirect
94. #17985935C22semidirect
95. #17985935C22semidirect
96. #17985935C22semidirect
97. #17985932C22semidirect
98. #17985931C22semidirect
99. #17985928C22semidirect
100. #17985924C22semidirect
101. #17985922C22semidirect
102. #17985922C22semidirect
103. #17985921C22semidirect
104. #17985920C22semidirect
105. #17985916C22semidirect
106. #17985915C22semidirect
107. #17985915C22semidirect
108. #17985915C22semidirect
109. #17985915C22semidirect
110. #17985913C22semidirect
111. #17985913C22semidirect
112. #17985913C22semidirect
113. #17985913C22semidirect
114. #17985911C22semidirect
118. #17985907C22semidirect
119. #17985907C22semidirect
120. #17985907C22semidirect
121. #17985899C22semidirect
122. #17985897C22semidirect
123. #17985894C22semidirect
124. #17985893C22semidirect
125. #17985893C22semidirect
126. #17985892C22semidirect
127. #17985890C22semidirect
128. #17985890C22semidirect
129. #17985888C22semidirect
130. #17985885C22semidirect
131. #17985883C22semidirect
132. #17985881C22semidirect
133. #17985878C22semidirect
138. #17985877C22semidirect
143. #17985875C22semidirect
144. #17985875C22semidirect
145. #17985875C22semidirect
146. #17985875C22semidirect
147. #17985875C22semidirect
148. #17985873C22semidirect
149. #17985873C22semidirect
150. #17985873C22semidirect
151. #17985873C22semidirect
152. #17985873C22semidirect
153. #17985873C22semidirect
154. #17985872C22semidirect
155. #17985872C22semidirect
156. #17985870C22semidirect
157. #17985870C22semidirect
158. #17985870C22semidirect
159. #17985870C22semidirect
160. #17985858C22semidirect
161. #17985856C22semidirect
163. #17985854C22semidirect
164. #17985854C22semidirect
165. C4⋊C4×Dic71C22semidirect
166. #17985850C22semidirect
167. C22⋊C4×Dic71C22semidirect
168. C22⋊C4×Dic71C22semidirect
169. C22⋊C4×Dic71C22semidirect
170. C22⋊C4×Dic71C22semidirect
171. #17985846C22semidirect
172. #17985846C22semidirect
173. #17985846C22semidirect
174. #17985846C22semidirect
175. #17985844C22semidirect
176. C2×#123×C71C22semidirect
177. C2×#121×C71C22semidirect
178. C2×C4×D4×C71C22semidirect
179. C2×C4×D4×C71C22semidirect
180. #396×C71C22semidirect
182. #392×C71C22semidirect
183. #392×C71C22semidirect
184. #390×C71C22semidirect
185. #388×C71C22semidirect
186. #388×C71C22semidirect
187. #387×C71C22semidirect
188. #386×C71C22semidirect
189. #386×C71C22semidirect
190. #385×C71C22semidirect
272. #14556090D4semidirect
284. (C22⋊D71)⋊C4D4semidirect
439. C23×D71#41semidirect
456. C2×D284#41semidirect
486. C2×C22⋊D71#41semidirect
500. C22×Dic71C2×D4semidirect
557. C2×C4×D71C2×D4semidirect
576. Dic71⋊C4C2×D4semidirect
615. (C2×D71)⋊C4C2×D4semidirect
623. C4×Dic71C2×D4semidirect
624. C4×Dic71C2×D4semidirect
671. C4⋊C4×C71C2×D4semidirect
684. C22⋊C4×C71C2×D4semidirect
939. C2×D71#525semidirect
940. C2×D71#525semidirect
986. #2456D71semidirect
1011. C71#34655semidirect
1023. C2×#123C2×D71semidirect
1033. C2×#121C2×D71semidirect
1065. C2×C4×D4C2×D71semidirect
1066. C2×C4×D4C2×D71semidirect
1088. #396C2×D71semidirect
1107. #392C2×D71semidirect
1108. #392C2×D71semidirect
1110. #390C2×D71semidirect
1119. #388C2×D71semidirect
1120. #388C2×D71semidirect
1124. #387C2×D71semidirect
1140. #386C2×D71semidirect
1141. #386C2×D71semidirect
1154. #385C2×D71semidirect
1603. C4⋊C4D4×D71semidirect
1655. C22⋊C4D4×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179865092
C2×#179865072
C2×C4×D4×D712
#225923312
#225922342
#225922172
#225921542
#225921482
#225920822
#225920722
#225920022
#225918832
#225918732
#225918072
#225918012
#225917072
#225916492
#225916182
#225915852
#225915752
#225915522
#225908562
#225908522
#225908452
#225908412
#225907822
#225907782
C71×#24562
#3465571