Finite Group Databasebeta

← #32170020

Subgroups — #32170020

Order 18176.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986560C211yesmaximal, characteristic
2C2×C4×D4×D71C211yesmaximal, characteristic, complemented
3#22596664C211yesmaximal, characteristic, complemented
4#22596664C211yesmaximal, characteristic, complemented
5#22596635C211yesmaximal, characteristic, complemented
6#22596633C211yesmaximal, characteristic, complemented
7#22594127C211yesmaximal, characteristic, complemented
8#22594121C211yesmaximal, characteristic, complemented
9#22594114C211yesmaximal, characteristic, complemented
10#22594114C211yesmaximal, characteristic, complemented
11#22592095C211yesmaximal, characteristic, complemented
12#22592091C211yesmaximal, characteristic, complemented
13#22592089C211yesmaximal, characteristic, complemented
14#22592085C211yesmaximal, characteristic, complemented
15#22592080C211yesmaximal, characteristic, complemented
16#22592076C211yesmaximal, characteristic, complemented
17#22592074C211yesmaximal, characteristic, complemented
18#22592070C211yesmaximal, characteristic, complemented
19#22591821C211yesmaximal, characteristic, complemented
20#22591817C211yesmaximal, characteristic, complemented
21#22591813C211yesmaximal, characteristic, complemented
22#22591808C211yesmaximal, characteristic, complemented
23#22591804C211yesmaximal, characteristic, complemented
24#22591800C211yesmaximal, characteristic, complemented
25#22591796C211yesmaximal, characteristic, complemented
26#22590953C211yesmaximal, characteristic, complemented
27#22590917C211yesmaximal, characteristic, complemented
28#22590914C211yesmaximal, characteristic, complemented
29C2×#17985877C211yesmaximal, characteristic, complemented
30#385×D71C211yesmaximal, characteristic, complemented
31C71×#2419C211yesmaximal, characteristic, complemented
32C23×D284C2211yescharacteristic
33C22×D4×D71C2211yescharacteristic
34C23×C4×D71C2211yescharacteristic
35C23×C4×D71C2211yescharacteristic, complemented
36#17986560—28no—
37C2×#14556113C2211yescharacteristic
38C2×#14556113C2211yescharacteristic
39C2×#14556113C2211yescharacteristic, complemented
40C2×#14556113C2211yescharacteristic, complemented
41C2×#14556112C2211yescharacteristic, complemented
42C2×#14556111C2211yescharacteristic
43C2×#14556111C2211yescharacteristic, complemented
44C2×#14556103C2211yescharacteristic
45C2×#14556103C2211yescharacteristic
46C2×#14556101C2211yescharacteristic
47C2×#14556101C2211yescharacteristic
48C2×#14556098C2211yescharacteristic
49C2×#14556098C2211yescharacteristic
50C2×#14556098C2211yescharacteristic
51C2×#14556096C2211yescharacteristic
52C2×C4×D284C2211yescharacteristic, complemented
53C2×D4×Dic71C2211yescharacteristic
54C2×#14556090C2211yescharacteristic, complemented
55C2×C4×C22⋊D71C2211yescharacteristic
56C2×C4×C22⋊D71C2211yescharacteristic, complemented
57C2×(C22⋊D71)⋊C4C2211yescharacteristic
58C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
59C4×D4×D71—28no—
60C2×C4⋊C4×D71C2211yescharacteristic, complemented
61C2×C4⋊C4×D71C2211yescharacteristic, complemented
62C2×C4⋊C4×D71C2211yescharacteristic, complemented
63C22×(C2×D71)⋊C4C2211yescharacteristic
64C22×(C2×D71)⋊C4C2211yescharacteristic, complemented
65C22×(C2×D71)⋊C4C2211yescharacteristic, complemented
66C2×C22⋊C4×D71C2211yescharacteristic
67C2×C22⋊C4×D71C2211yescharacteristic
68C2×C22⋊C4×D71C2211yescharacteristic
69C2×C22⋊C4×D71C2211yescharacteristic, complemented
70C2×C42×D71C2211yescharacteristic, complemented
71#17985940C2211yescharacteristic, complemented
72#17985940C2211yescharacteristic, complemented
73#17985938C2211yescharacteristic, complemented
74#17985936C2211yescharacteristic, complemented
75#17985934C2211yescharacteristic, complemented
76#17985934C2211yescharacteristic, complemented
77#17985934C2211yescharacteristic, complemented
78#17985933C2211yescharacteristic, complemented
79#17985933C2211yescharacteristic, complemented
80#17985929C2211yescharacteristic, complemented
81#17985928C2211yescharacteristic, complemented
82#17985928C2211yescharacteristic, complemented
83#17985928C2211yescharacteristic, complemented
84#17985928C2211yescharacteristic, complemented
85#17985927C2211yescharacteristic, complemented
86#17985927C2211yescharacteristic, complemented
87#17985926C2211yescharacteristic, complemented
88#17985926C2211yescharacteristic, complemented
89#17985926C2211yescharacteristic, complemented
90#17985925C2211yescharacteristic, complemented
91#17985917C2211yescharacteristic, complemented
92#17985917C2211yescharacteristic, complemented
93#17985916C2211yescharacteristic, complemented
94#17985916C2211yescharacteristic, complemented
95#17985915C2211yescharacteristic, complemented
96#17985915C2211yescharacteristic, complemented
97#17985914C2211yescharacteristic, complemented
98#17985914C2211yescharacteristic, complemented
99#17985891C2211yescharacteristic, complemented
100#17985891C2211yescharacteristic, complemented
101#17985890C2211yescharacteristic, complemented
102#17985890C2211yescharacteristic, complemented
103#17985889C2211yescharacteristic, complemented
104#17985889C2211yescharacteristic, complemented
105#17985888C2211yescharacteristic, complemented
106#17985888C2211yescharacteristic, complemented
107#17985882C2211yescharacteristic, complemented
108#17985882C2211yescharacteristic, complemented
109#17985881C2211yescharacteristic, complemented
110#17985881C2211yescharacteristic, complemented
111#17985880C2211yescharacteristic, complemented
112#17985880C2211yescharacteristic, complemented
113#17985879C2211yescharacteristic
114#17985878C2211yescharacteristic
115#17985878C2211yescharacteristic, complemented
116#17985877C2211yescharacteristic
117#17985877C2211yescharacteristic
118#17985877C2211yescharacteristic
119#17985877C2211yescharacteristic
120#17985877C2211yescharacteristic
121#17985877C2211yescharacteristic
122#17985877C2211yescharacteristic
123#17985877C2211yescharacteristic
124#17985877C2211yescharacteristic, complemented
125#17985877C2211yescharacteristic, complemented
126#17985877C2211yescharacteristic, complemented
127#17985877C2211yescharacteristic, complemented
128#17985877C2211yescharacteristic, complemented
129#17985877C2211yescharacteristic, complemented
130#17985877C2211yescharacteristic, complemented
131#17985877C2211yescharacteristic, complemented
132#17985877C2211yescharacteristic, complemented
133#17985877C2211yescharacteristic, complemented
134#17985877C2211yescharacteristic, complemented
135#17985877C2211yescharacteristic, complemented
136#17985876C2211yescharacteristic
137#17985876C2211yescharacteristic, complemented
138#17985875C2211yescharacteristic, complemented
139#17985875C2211yescharacteristic, complemented
140#17985874C2211yescharacteristic, complemented
141#17985873C2211yescharacteristic, complemented
142#17985873C2211yescharacteristic, complemented
143#17985873C2211yescharacteristic, complemented
144#17985873C2211yescharacteristic, complemented
145#17985873C2211yescharacteristic, complemented
146#17985873C2211yescharacteristic, complemented
147#17985873C2211yescharacteristic, complemented
148#17985873C2211yescharacteristic, complemented
149#17985872C2211yescharacteristic, complemented
150#17985871C2211yescharacteristic, complemented
151#17985871C2211yescharacteristic, complemented
152#17985870C2211yescharacteristic, complemented
153#17985870C2211yescharacteristic, complemented
154#17985870C2211yescharacteristic, complemented
155#17985870C2211yescharacteristic, complemented
156#17985870C2211yescharacteristic, complemented
157#17985870C2211yescharacteristic, complemented
158#17985862C2211yescharacteristic, complemented
159#17985861C2211yescharacteristic, complemented
160#17985861C2211yescharacteristic, complemented
161#17985861C2211yescharacteristic, complemented
162#17985861C2211yescharacteristic, complemented
163#17985860C2211yescharacteristic, complemented
164#17985859C2211yescharacteristic, complemented
165#17985857C2211yescharacteristic, complemented
166#17985857C2211yescharacteristic, complemented
167#17985854C2211yescharacteristic, complemented
168#17985854C2211yescharacteristic, complemented
169#17985854C2211yescharacteristic, complemented
170#17985854C2211yescharacteristic, complemented
171C2×C71⋊#95C2211yescharacteristic, complemented
172#95×D71C2211yescharacteristic, complemented
173#95×D71C2211yescharacteristic, complemented
174C2×#123×C71C2211yescharacteristic
175C2×C4×D4×C71C2211yescharacteristic
176#400×C71C2211yescharacteristic, complemented
177#398×C71C2211yescharacteristic, complemented
178#397×C71C2211yescharacteristic, complemented
179#397×C71C2211yescharacteristic, complemented
180#387×C71C2211yescharacteristic, complemented
181#387×C71C2211yescharacteristic, complemented
182#386×C71C2211yescharacteristic
183#385×C71C2211yescharacteristic, complemented
184#385×C71C2211yescharacteristic, complemented
185#381×C71C2211yescharacteristic, complemented
186#381×C71C2211yescharacteristic, complemented
187#380×C71C2211yescharacteristic, complemented
188C2×#95×C71C2211yescharacteristic, complemented
189C24×D71C2311yescharacteristic
190C24×D71C2311yescharacteristic
191C24×D71C2311yescharacteristic
192C22×D284—24no—
193C22×D284—24no—
194C22×D284—24no—
195C22×D284C2311yescharacteristic
196C22×D284C2311yescharacteristic
197C22×D284C2311yescharacteristic
198C22×D284C2311yescharacteristic
199C22×D284C2311yescharacteristic
200C22×D284C2311yescharacteristic
201C22×D284C2311yescharacteristic
202C22×C22⋊D71C2311yescharacteristic
203C22×C22⋊D71C2311yescharacteristic
204C22×C22⋊D71C2311yescharacteristic
205C22×C22⋊D71C2311yescharacteristic
206C2×D4×D71—24no—
207C2×D4×D71—24no—
208C2×D4×D71D418yes—
209C23×Dic71C2311yescharacteristic
210C23×Dic71C2311yescharacteristic
211C23×Dic71C2311yescharacteristic
212C22×C4×D71—24no—
213C22×C4×D71—24no—
214C22×C4×D71—42no—
215C22×C4×D71—42no—
216C22×C4×D71—42no—
217C22×C4×D71—42no—
218C22×C4×D71C2311yescharacteristic
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
231#14556113—24no—
232#14556113—24no—
233#14556113—42no—
234#14556113—42no—
235#14556112—42no—
236#14556111—24no—
237#14556111—42no—
238#14556103—24no—
239#14556103—24no—
240#14556101—24no—
241#14556101—24no—
242#14556098—24no—
243#14556098—24no—
244#14556098—24no—
245#14556096—24no—
246C4×D284—24no—
247D4×Dic71—24no—
248#14556090—24no—
249C4×C22⋊D71—24no—
250C4×C22⋊D71—24no—
251(C22⋊D71)⋊C4—24no—
252(C22⋊D71)⋊C4—24no—
253C2×C4⋊Dic71C2311yescharacteristic
254C2×C4⋊Dic71C2311yescharacteristic
255C2×C4⋊Dic71C2311yescharacteristic
256C2×C4⋊Dic71C2311yescharacteristic
257C2×C4⋊Dic71C2311yescharacteristic
258C2×Dic71⋊C4C2311yescharacteristic
259C2×Dic71⋊C4C2311yescharacteristic
260C2×Dic71⋊C4C2311yescharacteristic
261C2×Dic71⋊C4C2311yescharacteristic
262C2×Dic71⋊C4C2311yescharacteristic
263C2×Dic71⋊C4C2311yescharacteristic
264C2×Dic71⋊C4C2311yescharacteristic
265C2×Dic71⋊C4C2311yescharacteristic
266C2×Dic71⋊C4C2311yescharacteristic
267C2×Dic71⋊C4C2311yescharacteristic
268C2×Dic71⋊C4C2311yescharacteristic
269C2×Dic71⋊C4C2311yescharacteristic
270C4⋊C4×D71—24no—
271C4⋊C4×D71—42no—
272C4⋊C4×D71—42no—
273C2×C22⋊Dic71C2311yescharacteristic
274C2×C22⋊Dic71C2311yescharacteristic
275C2×C22⋊Dic71C2311yescharacteristic
276C2×C22⋊Dic71C2311yescharacteristic
277C2×C22⋊Dic71C2311yescharacteristic
278C2×C22⋊Dic71C2311yescharacteristic
279C2×(C2×D71)⋊C4—24no—
280C2×(C2×D71)⋊C4—42no—
281C2×(C2×D71)⋊C4—42no—
282C2×(C2×D71)⋊C4C2311yescharacteristic
283C2×(C2×D71)⋊C4C2311yescharacteristic
284C2×(C2×D71)⋊C4C2311yescharacteristic
285C2×(C2×D71)⋊C4C2311yescharacteristic
286C2×(C2×D71)⋊C4C2311yescharacteristic
287C2×(C2×D71)⋊C4C2311yescharacteristic
288C2×(C2×D71)⋊C4C2311yescharacteristic
289C2×(C2×D71)⋊C4C2311yescharacteristic
290C2×(C2×D71)⋊C4C2311yescharacteristic
291C2×(C2×D71)⋊C4C2311yescharacteristic
292C2×(C2×D71)⋊C4C2311yescharacteristic
293C2×(C2×D71)⋊C4C2311yescharacteristic
294C2×(C2×D71)⋊C4C2311yescharacteristic
295C2×(C2×D71)⋊C4C2311yescharacteristic
296C2×(C2×D71)⋊C4C2311yescharacteristic
297C2×(C2×D71)⋊C4C2311yescharacteristic
298C2×(C2×D71)⋊C4C2311yescharacteristic
299C2×(C2×D71)⋊C4C2311yescharacteristic
300C2×(C2×D71)⋊C4C2311yescharacteristic
301C2×(C2×D71)⋊C4C2311yescharacteristic
302C2×(C2×D71)⋊C4C2311yescharacteristic
303C2×(C2×D71)⋊C4C2311yescharacteristic
304C2×(C2×D71)⋊C4C2311yescharacteristic
305C2×(C2×D71)⋊C4C2311yescharacteristic
306C2×(C2×D71)⋊C4C2311yescharacteristic
307C2×(C2×D71)⋊C4C2311yescharacteristic
308C2×(C2×D71)⋊C4C2311yescharacteristic
309C2×(C2×D71)⋊C4C2311yescharacteristic
310C2×(C2×D71)⋊C4C2311yescharacteristic
311C2×(C2×D71)⋊C4C2311yescharacteristic
312C2×(C2×D71)⋊C4C2311yescharacteristic
313C2×(C2×D71)⋊C4C2311yescharacteristic
314C2×(C2×D71)⋊C4C2311yescharacteristic
315C2×(C2×D71)⋊C4C2311yescharacteristic
316C2×(C2×D71)⋊C4C2311yescharacteristic
317C2×(C2×D71)⋊C4C2311yescharacteristic
318C2×(C2×D71)⋊C4C2311yescharacteristic
319C2×(C2×D71)⋊C4C2311yescharacteristic
320C22⋊C4×D71—24no—
321C22⋊C4×D71—24no—
322C22⋊C4×D71—24no—
323C22⋊C4×D71—24no—
324C2×C4×Dic71C2311yescharacteristic
325C2×C4×Dic71C2311yescharacteristic
326C2×C4×Dic71C2311yescharacteristic
327C42×D71—24no—
328C71⋊#95C2311yescharacteristic
329C71⋊#95C2311yescharacteristic
330C71⋊#95C2311yescharacteristic
331C71⋊#95C2311yescharacteristic
332C71⋊#95C2311yescharacteristic
333C71⋊#95C2311yescharacteristic
334C71⋊#95C2311yescharacteristic
335C71⋊#95C2311yescharacteristic
336C71⋊#95C2311yescharacteristic
337C71⋊#95C2311yescharacteristic
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
354C22×D4×C71C2311yescharacteristic
355C23×C4×C71C2311yescharacteristic
356C23×C4×C71C2311yescharacteristic
357C23×C4×C71C2311yescharacteristic
358C23×C4×C71C2311yescharacteristic
359#123×C71—24no—
360C4×D4×C71—24no—
361C2×C4⋊C4×C71C2311yescharacteristic
362C2×C4⋊C4×C71C2311yescharacteristic
363C2×C4⋊C4×C71C2311yescharacteristic
364C2×C4⋊C4×C71C2311yescharacteristic
365C2×C4⋊C4×C71C2311yescharacteristic
366C2×C4⋊C4×C71C2311yescharacteristic
367C2×C4⋊C4×C71C2311yescharacteristic
368C2×C22⋊C4×C71C2311yescharacteristic
369C2×C22⋊C4×C71C2311yescharacteristic
370C2×C22⋊C4×C71C2311yescharacteristic
371C2×C22⋊C4×C71C2311yescharacteristic
372C2×C22⋊C4×C71C2311yescharacteristic
373C2×C22⋊C4×C71C2311yescharacteristic
374C2×C22⋊C4×C71C2311yescharacteristic
375C2×C22⋊C4×C71C2311yescharacteristic
376C2×C42×C71C2311yescharacteristic
377#95×C71C2311yescharacteristic
378#95×C71C2311yescharacteristic
379#95×C71C2311yescharacteristic
380#95×C71C2311yescharacteristic
381#95×C71C2311yescharacteristic
382#95×C71C2311yescharacteristic
383#95×C71C2311yescharacteristic
384#95×C71C2311yescharacteristic
385#95×C71C2311yescharacteristic
386#95×C71C2311yescharacteristic
387#95×C71C2311yescharacteristic
388#95×C71C2311yescharacteristic
389#95×C71C2311yescharacteristic
390#95×C71C2311yescharacteristic
391C23×D71—22no—
392C23×D71—22no—
393C23×D71—22no—
394C23×D71—22no—
395C23×D71—22no—
396C23×D71—41no—
397C23×D71—41no—
398C23×D71—41no—
399C23×D71—41no—
400C23×D71—41no—
401C23×D71—41no—
402C23×D71—41no—
403C23×D71—41no—
404C23×D71—41no—
405C23×D71—41no—
406C23×D71—41no—
407C23×D71—41no—
408C23×D71C2×D414yes—
409C23×D71C2×D414yes—
410C23×D71#4114yes—
411C23×D71#4114yes—
412C23×D71C2411yescharacteristic
413C23×D71C2411yescharacteristic
414C23×D71C2411yescharacteristic
415C23×D71C2411yescharacteristic
416C23×D71C2411yescharacteristic
417C2×D284—22no—
418C2×D284—22no—
419C2×D284—22no—
420C2×D284—22no—
421C2×D284—22no—
422C2×D284—22no—
423C2×D284—22no—
424C2×D284—22no—
425C2×D284—22no—
426C2×D284—22no—
427C2×D284—22no—
428C2×D284—22no—
429C2×D284—22no—
430C2×D284—22no—
431C2×D284—22no—
432C2×D284—22no—
433C2×D284—416no—
434C2×D284—41no—
435C2×D284—41no—
436C2×D284—41no—
437C2×D284—41no—
438C2×D284C2×D414yes—
439C2×C22⋊D71—22no—
440C2×C22⋊D71—22no—
441C2×C22⋊D71—22no—
442C2×C22⋊D71—22no—
443C2×C22⋊D71—22no—
444C2×C22⋊D71—22no—
445C2×C22⋊D71—41no—
446C2×C22⋊D71—41no—
447C2×C22⋊D71—41no—
448C2×C22⋊D71—41no—
449C2×C22⋊D71C2×D414yes—
450C2×C22⋊D71C2×D414yes—
451D4×D71—232no—
452C22×Dic71—22no—
453C22×Dic71—22no—
454C22×Dic71—22no—
455C22×Dic71—22no—
456C22×Dic71—22no—
457C22×Dic71—41no—
458C22×Dic71—41no—
459C22×Dic71—41no—
460C22×Dic71—41no—
461C22×Dic71C2411yescharacteristic
462C22×Dic71C2411yescharacteristic
463C22×Dic71C2411yescharacteristic
464C22×Dic71C2411yescharacteristic
465C22×Dic71C2411yescharacteristic
466C22×Dic71C2411yescharacteristic
467C22×Dic71C2411yescharacteristic
468C22×Dic71C2411yescharacteristic
469C22×Dic71C2411yescharacteristic
470C22×Dic71C2411yescharacteristic
471C22×Dic71C2411yescharacteristic
472C2×C4×D71—22no—
473C2×C4×D71—22no—
474C2×C4×D71—22no—
475C2×C4×D71—22no—
476C2×C4×D71—22no—
477C2×C4×D71—22no—
478C2×C4×D71—22no—
479C2×C4×D71—22no—
480C2×C4×D71—22no—
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—416no—
493C2×C4×D71—416no—
494C2×C4×D71—41no—
495C2×C4×D71—41no—
496C2×C4×D71—41no—
497C2×C4×D71—41no—
498C2×C4×D71—41no—
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×D71C2×D414yes—
513C4⋊Dic71—22no—
514C4⋊Dic71—22no—
515C4⋊Dic71—41no—
516C4⋊Dic71—41no—
517C4⋊Dic71—41no—
518Dic71⋊C4—22no—
519Dic71⋊C4—22no—
520Dic71⋊C4—22no—
521Dic71⋊C4—22no—
522Dic71⋊C4—22no—
523Dic71⋊C4—22no—
524Dic71⋊C4—41no—
525Dic71⋊C4—41no—
526Dic71⋊C4—41no—
527Dic71⋊C4—41no—
528Dic71⋊C4—41no—
529Dic71⋊C4—41no—
530C22⋊Dic71—22no—
531C22⋊Dic71—22no—
532C22⋊Dic71—22no—
533C22⋊Dic71—22no—
534C22⋊Dic71—41no—
535C22⋊Dic71—41no—
536(C2×D71)⋊C4—22no—
537(C2×D71)⋊C4—22no—
538(C2×D71)⋊C4—22no—
539(C2×D71)⋊C4—22no—
540(C2×D71)⋊C4—22no—
541(C2×D71)⋊C4—22no—
542(C2×D71)⋊C4—22no—
543(C2×D71)⋊C4—22no—
544(C2×D71)⋊C4—22no—
545(C2×D71)⋊C4—22no—
546(C2×D71)⋊C4—22no—
547(C2×D71)⋊C4—22no—
548(C2×D71)⋊C4—22no—
549(C2×D71)⋊C4—22no—
550(C2×D71)⋊C4—22no—
551(C2×D71)⋊C4—22no—
552(C2×D71)⋊C4—22no—
553(C2×D71)⋊C4—22no—
554(C2×D71)⋊C4—22no—
555(C2×D71)⋊C4—22no—
556(C2×D71)⋊C4—22no—
557(C2×D71)⋊C4—22no—
558(C2×D71)⋊C4—41no—
559(C2×D71)⋊C4—41no—
560(C2×D71)⋊C4—41no—
561(C2×D71)⋊C4—41no—
562(C2×D71)⋊C4—41no—
563(C2×D71)⋊C4—41no—
564(C2×D71)⋊C4—41no—
565(C2×D71)⋊C4—41no—
566(C2×D71)⋊C4—41no—
567(C2×D71)⋊C4—41no—
568(C2×D71)⋊C4—41no—
569(C2×D71)⋊C4—41no—
570(C2×D71)⋊C4—41no—
571(C2×D71)⋊C4—41no—
572(C2×D71)⋊C4—41no—
573(C2×D71)⋊C4—41no—
574C4×Dic71—22no—
575C4×Dic71—22no—
576C4×Dic71—22no—
577C24×C71C2411yescharacteristic
578C24×C71C2411yescharacteristic
579C2×D4×C71—22no—
580C2×D4×C71—22no—
581C2×D4×C71C2×D414yes—
582C22×C4×C71—22no—
583C22×C4×C71—22no—
584C22×C4×C71—22no—
585C22×C4×C71—22no—
586C22×C4×C71—22no—
587C22×C4×C71—22no—
588C22×C4×C71—22no—
589C22×C4×C71—22no—
590C22×C4×C71—41no—
591C22×C4×C71—41no—
592C22×C4×C71—41no—
593C22×C4×C71—41no—
594C22×C4×C71C2411yescharacteristic
595C22×C4×C71C2411yescharacteristic
596C22×C4×C71C2411yescharacteristic
597C22×C4×C71C2411yescharacteristic
598C22×C4×C71C2411yescharacteristic
599C22×C4×C71C2411yescharacteristic
600C22×C4×C71C2411yescharacteristic
601C22×C4×C71C2411yescharacteristic
602C22×C4×C71C2411yescharacteristic
603C22×C4×C71C2411yescharacteristic
604C22×C4×C71C2411yescharacteristic
605C22×C4×C71C2411yescharacteristic
606C22×C4×C71C2411yescharacteristic
607C4⋊C4×C71—22no—
608C4⋊C4×C71—22no—
609C4⋊C4×C71—22no—
610C4⋊C4×C71—22no—
611C4⋊C4×C71—41no—
612C4⋊C4×C71—41no—
613C4⋊C4×C71—41no—
614C22⋊C4×C71—22no—
615C22⋊C4×C71—22no—
616C22⋊C4×C71—22no—
617C22⋊C4×C71—22no—
618C22⋊C4×C71—22no—
619C22⋊C4×C71—22no—
620C22⋊C4×C71—41no—
621C22⋊C4×C71—41no—
622C42×C71—22no—
623C23×C71—21no—
624C23×C71—21no—
625C23×C71—21no—
626C23×C71—21no—
627C23×C71—21no—
628C23×C71—21no—
629C23×C71—21no—
630C23×C71—21no—
631C23×C71—21no—
632C23×C71—21no—
633C23×C71C22×D412yes—
634C23×C71C22×D412yes—
635C23×C71C2×#4112yes—
636C23×C71C2×#4112yes—
637C23×C71C2511yescharacteristic
638C22×D71—21no—
639C22×D71—21no—
640C22×D71—21no—
641C22×D71—21no—
642C22×D71—21no—
643C22×D71—21no—
644C22×D71—21no—
645C22×D71—21no—
646C22×D71—21no—
647C22×D71—21no—
648C22×D71—21no—
649C22×D71—21no—
650C22×D71—21no—
651C22×D71—21no—
652C22×D71—28no—
653C22×D71—21no—
654C22×D71—21no—
655C22×D71—21no—
656C22×D71—21no—
657C22×D71—21no—
658C22×D71—21no—
659C22×D71—21no—
660C22×D71—21no—
661C22×D71—21no—
662C22×D71—21no—
663C22×D71—21no—
664C22×D71—21no—
665C22×D71—21no—
666C22×D71—21no—
667C22×D71—44no—
668C22×D71—44no—
669C22×D71—44no—
670C22×D71—44no—
671C22×D71—44no—
672C22×D71—44no—
673C22×D71—44no—
674C22×D71—44no—
675C22×D71—44no—
676C22×D71—44no—
677C22×D71—44no—
678C22×D71—44no—
679C22×D71—44no—
680C22×D71—44no—
681C22×D71—44no—
682C22×D71—82no—
683C22×D71—82no—
684C22×D71—82no—
685C22×D71—82no—
686C22×D71#123116yescomplemented
687C22×D71C22×D412yes—
688C22×D71C22×D412yes—
689C22×D71C22×D412yes—
690C22×D71C2×#4112yes—
691C22×D71C2×#4112yes—
692C22×D71C2×#4112yes—
693C22×D71C2×#4112yes—
694D4×C71—28no—
695C2×C4×C71—21no—
696C2×C4×C71—21no—
697C2×C4×C71—21no—
698C2×C4×C71—21no—
699C2×C4×C71—21no—
700C2×C4×C71—21no—
701C2×C4×C71—21no—
702C2×C4×C71—21no—
703C2×C4×C71—21no—
704C2×C4×C71—21no—
705C2×C4×C71—21no—
706C2×C4×C71—21no—
707C2×C4×C71—21no—
708C2×C4×C71—21no—
709C2×C4×C71—21no—
710C2×C4×C71—21no—
711C2×C4×C71—21no—
712C2×C4×C71—21no—
713C2×C4×C71—21no—
714C2×C4×C71—21no—
715C2×C4×C71—21no—
716C2×C4×C71—21no—
717C2×C4×C71—21no—
718C2×C4×C71—21no—
719C2×C4×C71—21no—
720C2×C4×C71—21no—
721C2×C4×C71—21no—
722C2×C4×C71—21no—
723C2×C4×C71—21no—
724C2×C4×C71—21no—
725C2×C4×C71—21no—
726C2×C4×C71—21no—
727C2×C4×C71—21no—
728C2×C4×C71—21no—
729C2×C4×C71—21no—
730C2×C4×C71—21no—
731C2×C4×C71—21no—
732C2×C4×C71—44no—
733C2×C4×C71—44no—
734C2×C4×C71—44no—
735C2×C4×C71—82no—
736C2×C4×C71C22×D412yes—
737C2×C4×C71H(5,𝔽2)12yes—
738C22⋊D71—28no—
739C22⋊D71—28no—
740C22⋊D71—82no—
741C22⋊D71—82no—
742C2×Dic71—21no—
743C2×Dic71—21no—
744C2×Dic71—21no—
745C2×Dic71—21no—
746C2×Dic71—21no—
747C2×Dic71—21no—
748C2×Dic71—21no—
749C2×Dic71—21no—
750C2×Dic71—21no—
751C2×Dic71—21no—
752C2×Dic71—21no—
753C2×Dic71—21no—
754C2×Dic71—21no—
755C2×Dic71—21no—
756C2×Dic71—21no—
757C2×Dic71—21no—
758C2×Dic71—21no—
759C2×Dic71—21no—
760C2×Dic71—21no—
761C2×Dic71—21no—
762C2×Dic71—21no—
763C2×Dic71—21no—
764C2×Dic71—21no—
765C2×Dic71—21no—
766C2×Dic71—21no—
767C2×Dic71—21no—
768C2×Dic71—21no—
769C2×Dic71—21no—
770C2×Dic71—21no—
771C2×Dic71—21no—
772C2×Dic71—21no—
773C2×Dic71—44no—
774C2×Dic71—44no—
775C2×Dic71—82no—
776C2×Dic71C22×D412yes—
777C2×Dic71H(5,𝔽2)12yes—
778D284—28no—
779D284—44no—
780D284—44no—
781D284—44no—
782D284—44no—
783D284—82no—
784D284—82no—
785C4×D71—28no—
786C4×D71—28no—
787C4×D71—44no—
788C4×D71—44no—
789C4×D71—44no—
790C4×D71—44no—
791C4×D71—44no—
792C4×D71—44no—
793C4×D71—44no—
794C4×D71—44no—
795C4×D71—44no—
796C4×D71—82no—
797C4×D71—82no—
798C22×C71—22no—
799C22×C71—22no—
800C22×C71—22no—
801C22×C71—22no—
802C22×C71—22no—
803C22×C71—22no—
804C22×C71—22no—
805C22×C71—22no—
806C22×C71—22no—
807C22×C71—41no—
808C22×C71—41no—
809C22×C71—41no—
810C22×C71—41no—
811C22×C71C2×#12314yes—
812C22×C71C23×D411yescharacteristic
813C22×C71C22×#4111yescharacteristic
814C22×C71C22×#4111yescharacteristic
815C22×C71C2×H(5,𝔽2)11yescharacteristic
816C22×C71C2×H(5,𝔽2)11yescharacteristic
817C22×C71#58511yescharacteristic
818C22×C71#58511yescharacteristic
819C2×D71—22no—
820C2×D71—22no—
821C2×D71—22no—
822C2×D71—22no—
823C2×D71—22no—
824C2×D71—22no—
825C2×D71—22no—
826C2×D71—22no—
827C2×D71—22no—
828C2×D71—22no—
829C2×D71—22no—
830C2×D71—22no—
831C2×D71—22no—
832C2×D71—22no—
833C2×D71—22no—
834C2×D71—416no—
835C2×D71—416no—
836C2×D71—41no—
837C2×D71—41no—
838C2×D71—41no—
839C2×D71—41no—
840C2×D71—41no—
841C2×D71—41no—
842C2×D71—41no—
843C2×D71—41no—
844C2×D71—41no—
845C2×D71—41no—
846C2×D71—41no—
847C2×D71—41no—
848C2×D71—41no—
849C2×D71—41no—
850C2×D71—41no—
851C2×D71—41no—
852C2×D71—41no—
853C2×D71—41no—
854C2×D71—88no—
855C2×D71C2×#12314yes—
856C2×D71C2×#12314yes—
857C4×C71—22no—
858C4×C71—22no—
859C4×C71—41no—
860C4×C71—41no—
861C4×C71—41no—
862C4×C71—41no—
863C4×C71—41no—
864C4×C71—41no—
865C4×C71—41no—
866C4×C71—41no—
867C4×C71—41no—
868C4×C71—41no—
869C4×C71—41no—
870Dic71—22no—
871Dic71—22no—
872Dic71—41no—
873Dic71—41no—
874Dic71—41no—
875Dic71—41no—
876Dic71—41no—
877Dic71—41no—
878Dic71—41no—
879Dic71—41no—
880Dic71—41no—
881#34983—711nomaximal, Sylow
882C2×C71—24no—
883C2×C71—42no—
884C2×C71C22×#12311yescharacteristic
885C2×C71#345911yescharacteristic
886C2×C71#345911yescharacteristic
887C2×C71#348411yescharacteristic
888C2×C71#348511yescharacteristic
889C2×C71#350511yescharacteristic
890C2×C71#350511yescharacteristic
891D71—24no—
892D71—24no—
893D71—42no—
894D71—81no—
895D71—81no—
896C2×#534—711no—
897C22×C4×D4—711no—
898#2853—711no—
899#2853—711no—
900#2849—711no—
901#2849—711no—
902#2623—711no—
903#2623—711no—
904#2622—711no—
905#2622—711no—
906#2444—711no—
907#2444—711no—
908#2444—711no—
909#2444—711no—
910#2443—711no—
911#2443—711no—
912#2443—711no—
913#2443—711no—
914#2419—711no—
915#2419—711no—
916#2419—711no—
917#2419D7111yescharacteristic, complemented
918#2418—711no—
919#2418—711no—
920#2418—711no—
921#2418—711no—
922#2315—711no—
923#2308—711no—
924#2308—711no—
925C2×#386—711no—
926C2×#385—711no—
927C71#3498311yescharacteristic, complemented, Sylow
928C23×D4—711no—
929C23×D4—711no—
930C24×C4—711no—
931C24×C4—711no—
932#534—1428no—
933C2×#123—711no—
934C2×#123—711no—
935C2×#123—711no—
936C2×#123—711no—
937C2×#123—711no—
938C2×#123—711no—
939C2×#123—711no—
940C2×#123C2×D7111yescharacteristic
941C2×#121—711no—
942C2×#121—711no—
943C2×#121—711no—
944C2×#121—711no—
945C2×#120—711no—
946C2×#120—711no—
947C2×#120—711no—
948C2×#120—711no—
949C2×C4×D4—711no—
950C2×C4×D4—711no—
951C2×C4×D4—711no—
952C2×C4×D4—711no—
953C2×C4×D4—711no—
954C2×C4×D4—711no—
955C2×C4×D4—711no—
956C2×C4×D4—1428no—
957C2×C4×D4C2×D7111yescharacteristic
958C22×C4⋊C4—711no—
959C22×C4⋊C4—711no—
960C22×C4⋊C4—711no—
961C22×C22⋊C4—711no—
962C22×C22⋊C4—711no—
963C22×C22⋊C4—711no—
964C22×C22⋊C4—711no—
965C22×C22⋊C4—711no—
966C22×C22⋊C4—711no—
967C22×C22⋊C4—711no—
968C22×C42—711no—
969#400—711no—
970#400—711no—
971#400—711no—
972#400C2×D7111yescharacteristic, complemented
973#399—711no—
974#399—711no—
975#399—711no—
976#399—711no—
977#398—711no—
978#398—711no—
979#398—711no—
980#398C2×D7111yescharacteristic, complemented
981#397—711no—
982#397—711no—
983#397—711no—
984#397—711no—
985#397—711no—
986#397—711no—
987#397—711no—
988#397—711no—
989#397—711no—
990#397—711no—
991#397C2×D7111yescharacteristic, complemented
992#397C2×D7111yescharacteristic, complemented
993#394—711no—
994#394—711no—
995#394—711no—
996#394—711no—
997#394—711no—
998#394—711no—
999#394—711no—
1000#394—711no—
1001#388—711no—
1002#388—711no—
1003#388—711no—
1004#388—711no—
1005#388—711no—
1006#388—711no—
1007#388—711no—
1008#388—711no—
1009#387—711no—
1010#387—711no—
1011#387—711no—
1012#387—711no—
1013#387—711no—
1014#387—711no—
1015#387C2×D7111yescharacteristic, complemented
1016#387C2×D7111yescharacteristic, complemented
1017#386—711no—
1018#386—711no—
1019#386—711no—
1020#386—711no—
1021#386—711no—
1022#386—711no—
1023#386—711no—
1024#386—711no—
1025#386—711no—
1026#386—711no—
1027#386—711no—
1028#386—711no—
1029#386—711no—
1030#386—711no—
1031#386—711no—
1032#386—711no—
1033#386—711no—
1034#386—711no—
1035#386—711no—
1036#386—711no—
1037#386—711no—
1038#386—711no—
1039#386—711no—
1040#386—711no—
1041#386—711no—
1042#386—711no—
1043#386—711no—
1044#386C2×D7111yescharacteristic
1045#385—711no—
1046#385—711no—
1047#385—711no—
1048#385—711no—
1049#385—711no—
1050#385—711no—
1051#385—711no—
1052#385—711no—
1053#385—711no—
1054#385—711no—
1055#385—711no—
1056#385—711no—
1057#385—711no—
1058#385—711no—
1059#385—711no—
1060#385—711no—
1061#385—711no—
1062#385—711no—
1063#385C2×D7111yescharacteristic, complemented
1064#385C2×D7111yescharacteristic, complemented
1065#381—711no—
1066#381—711no—
1067#381—711no—
1068#381—711no—
1069#381—711no—
1070#381—711no—
1071#381C2×D7111yescharacteristic, complemented
1072#381C2×D7111yescharacteristic, complemented
1073#380—711no—
1074#380—711no—
1075#380—711no—
1076#380C2×D7111yescharacteristic, complemented
1077#379—711no—
1078#379—711no—
1079#379—711no—
1080#379—711no—
1081C2×#95—711no—
1082C2×#95—711no—
1083C2×#95—711no—
1084C2×#95C2×D7111yescharacteristic, complemented
1085C25—711no—
1086C25—711no—
1087C25—711no—
1088C22×D4—711no—
1089C22×D4—711no—
1090C22×D4—711no—
1091C22×D4—711no—
1092C22×D4—718no—
1093C22×D4—711no—
1094C22×D4—711no—
1095C22×D4—711no—
1096C22×D4—711no—
1097C22×D4—711no—
1098C22×D4—711no—
1099C22×D4—711no—
1100C22×D4—1424no—
1101C22×D4—1424no—
1102C22×D4—1424no—
1103C22×D4—1424no—
1104C22×D4—1424no—
1105C22×D4C22×D7111yescharacteristic
1106C23×C4—2842no—
1107C23×C4—2842no—
1108C23×C4—2842no—
1109C23×C4—2842no—
1110C23×C4—711no—
1111C23×C4—711no—
1112C23×C4—711no—
1113C23×C4—711no—
1114C23×C4—711no—
1115C23×C4—711no—
1116C23×C4—711no—
1117C23×C4—711no—
1118C23×C4—711no—
1119C23×C4—711no—
1120C23×C4—711no—
1121C23×C4—711no—
1122C23×C4—711no—
1123C23×C4—711no—
1124C23×C4—711no—
1125C23×C4—711no—
1126C23×C4—1424no—
1127C23×C4—1424no—
1128C23×C4C22×D7111yescharacteristic
1129C23×C4C22×D7111yescharacteristic
1130C23×C4C22×D7111yescharacteristic
1131C23×C4C22×D7111yescharacteristic
1132#123—24no—
1133#123—2842no—
1134#123—2842no—
1135#123—2842no—
1136#123—2842no—
1137#123—1424no—
1138#123—1424no—
1139#123—1424no—
1140#121—1424no—
1141#121—1424no—
1142#121—1424no—
1143#121—1424no—
1144#120—1424no—
1145#120—1424no—
1146#120—1424no—
1147#120—1424no—
1148C4×D4—24no—
1149C4×D4—1424no—
1150C4×D4—1424no—
1151C4×D4—1424no—
1152C4×D4—1424no—
1153C4×D4—1424no—
1154C4×D4—1424no—
1155C4×D4—1424no—
1156C2×C4⋊C4—2842no—
1157C2×C4⋊C4—2842no—
1158C2×C4⋊C4—711no—
1159C2×C4⋊C4—711no—
1160C2×C4⋊C4—711no—
1161C2×C4⋊C4—711no—
1162C2×C4⋊C4—711no—
1163C2×C4⋊C4—711no—
1164C2×C4⋊C4—711no—
1165C2×C4⋊C4—711no—
1166C2×C4⋊C4—711no—
1167C2×C4⋊C4—711no—
1168C2×C4⋊C4—711no—
1169C2×C4⋊C4—711no—
1170C2×C4⋊C4—711no—
1171C2×C4⋊C4—711no—
1172C2×C4⋊C4—711no—
1173C2×C4⋊C4—711no—
1174C2×C4⋊C4—711no—
1175C2×C4⋊C4—1424no—
1176C2×C4⋊C4C22×D7111yescharacteristic
1177C2×C4⋊C4C22×D7111yescharacteristic
1178C2×C4⋊C4C22×D7111yescharacteristic
1179C2×C4⋊C4C22×D7111yescharacteristic
1180C2×C4⋊C4C22×D7111yescharacteristic
1181C2×C4⋊C4C22×D7111yescharacteristic
1182C2×C4⋊C4C22×D7111yescharacteristic
1183C2×C22⋊C4—2842no—
1184C2×C22⋊C4—2842no—
1185C2×C22⋊C4—711no—
1186C2×C22⋊C4—711no—
1187C2×C22⋊C4—711no—
1188C2×C22⋊C4—711no—
1189C2×C22⋊C4—711no—
1190C2×C22⋊C4—711no—
1191C2×C22⋊C4—711no—
1192C2×C22⋊C4—711no—
1193C2×C22⋊C4—711no—
1194C2×C22⋊C4—711no—
1195C2×C22⋊C4—711no—
1196C2×C22⋊C4—711no—
1197C2×C22⋊C4—711no—
1198C2×C22⋊C4—711no—
1199C2×C22⋊C4—711no—
1200C2×C22⋊C4—711no—
1201C2×C22⋊C4—711no—
1202C2×C22⋊C4—711no—
1203C2×C22⋊C4—711no—
1204C2×C22⋊C4—711no—
1205C2×C22⋊C4—711no—
1206C2×C22⋊C4—711no—
1207C2×C22⋊C4—711no—
1208C2×C22⋊C4—711no—
1209C2×C22⋊C4—711no—
1210C2×C22⋊C4—711no—
1211C2×C22⋊C4—711no—
1212C2×C22⋊C4—711no—
1213C2×C22⋊C4—711no—
1214C2×C22⋊C4—711no—
1215C2×C22⋊C4—711no—
1216C2×C22⋊C4—711no—
1217C2×C22⋊C4—711no—
1218C2×C22⋊C4—711no—
1219C2×C22⋊C4—711no—
1220C2×C22⋊C4—711no—
1221C2×C22⋊C4—711no—
1222C2×C22⋊C4—711no—
1223C2×C22⋊C4—711no—
1224C2×C22⋊C4—711no—
1225C2×C22⋊C4—711no—
1226C2×C22⋊C4—711no—
1227C2×C22⋊C4—711no—
1228C2×C22⋊C4—711no—
1229C2×C22⋊C4—1424no—
1230C2×C22⋊C4—1424no—
1231C2×C22⋊C4—1424no—
1232C2×C22⋊C4—1424no—
1233C2×C22⋊C4—1424no—
1234C2×C22⋊C4C22×D7111yescharacteristic
1235C2×C22⋊C4C22×D7111yescharacteristic
1236C2×C22⋊C4C22×D7111yescharacteristic
1237C2×C22⋊C4C22×D7111yescharacteristic
1238C2×C22⋊C4C22×D7111yescharacteristic
1239C2×C22⋊C4C22×D7111yescharacteristic
1240C2×C22⋊C4C22×D7111yescharacteristic
1241C2×C22⋊C4C22×D7111yescharacteristic
1242C2×C42—711no—
1243C2×C42—711no—
1244C2×C42—711no—
1245C2×C42—1424no—
1246C2×C42C22×D7111yescharacteristic
1247#95—711no—
1248#95—711no—
1249#95—711no—
1250#95—711no—
1251#95—711no—
1252#95—711no—
1253#95—711no—
1254#95—711no—
1255#95—711no—
1256#95—711no—
1257#95—711no—
1258#95—711no—
1259#95—711no—
1260#95—711no—
1261#95—711no—
1262#95—711no—
1263#95—711no—
1264#95—711no—
1265#95—711no—
1266#95—711no—
1267#95—711no—
1268#95—711no—
1269#95—711no—
1270#95—711no—
1271#95—711no—
1272#95—711no—
1273#95C22×D7111yescharacteristic
1274#95C22×D7111yescharacteristic
1275#95C22×D7111yescharacteristic
1276#95C22×D7111yescharacteristic
1277#95C22×D7111yescharacteristic
1278#95C22×D7111yescharacteristic
1279#95C22×D7111yescharacteristic
1280#95C22×D7111yescharacteristic
1281#95C22×D7111yescharacteristic
1282#95C22×D7111yescharacteristic
1283#95C22×D7111yescharacteristic
1284#95C22×D7111yescharacteristic
1285#95C22×D7111yescharacteristic
1286#95C22×D7111yescharacteristic
1287C24—2841no—
1288C24—2841no—
1289C24—2841no—
1290C24—2841no—
1291C24—2841no—
1292C24—2841no—
1293C24—2841no—
1294C24—2841no—
1295C24—2841no—
1296C24—2841no—
1297C24—2841no—
1298C24—2841no—
1299C24—714no—
1300C24—714no—
1301C24—714no—
1302C24—714no—
1303C24—711no—
1304C24—711no—
1305C24—711no—
1306C24—711no—
1307C24—711no—
1308C24—1422no—
1309C24—1422no—
1310C24—1422no—
1311C24—1422no—
1312C24—1422no—
1313C24C23×D7111yescharacteristic
1314C24C23×D7111yescharacteristic
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—2841no—
1318C2×D4—2841no—
1319C2×D4—2841no—
1320C2×D4—2841no—
1321C2×D4—28416no—
1322C2×D4—2841no—
1323C2×D4—2841no—
1324C2×D4—2841no—
1325C2×D4—2841no—
1326C2×D4—714no—
1327C2×D4—714no—
1328C2×D4—714no—
1329C2×D4—1422no—
1330C2×D4—1422no—
1331C2×D4—1422no—
1332C2×D4—1422no—
1333C2×D4—1422no—
1334C2×D4—1422no—
1335C2×D4—1422no—
1336C2×D4—1422no—
1337C2×D4—1422no—
1338C2×D4—1422no—
1339C2×D4—1422no—
1340C2×D4—1422no—
1341C2×D4—1422no—
1342C2×D4—1422no—
1343C2×D4—1422no—
1344C2×D4—1422no—
1345C2×D4—14232no—
1346C2×D4—1422no—
1347C2×D4—1422no—
1348C2×D4—1422no—
1349C2×D4—1422no—
1350C2×D4—1422no—
1351C2×D4—1422no—
1352C2×D4D4×D7114yes—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—2841no—
1366C22×C4—2841no—
1367C22×C4—2841no—
1368C22×C4—2841no—
1369C22×C4—2841no—
1370C22×C4—2841no—
1371C22×C4—2841no—
1372C22×C4—2841no—
1373C22×C4—2841no—
1374C22×C4—2841no—
1375C22×C4—2841no—
1376C22×C4—2841no—
1377C22×C4—2841no—
1378C22×C4—2841no—
1379C22×C4—2841no—
1380C22×C4—2841no—
1381C22×C4—2841no—
1382C22×C4—2841no—
1383C22×C4—28416no—
1384C22×C4—28416no—
1385C22×C4—2841no—
1386C22×C4—2841no—
1387C22×C4—2841no—
1388C22×C4—2841no—
1389C22×C4—711no—
1390C22×C4—711no—
1391C22×C4—714no—
1392C22×C4—711no—
1393C22×C4—711no—
1394C22×C4—711no—
1395C22×C4—711no—
1396C22×C4—711no—
1397C22×C4—711no—
1398C22×C4—711no—
1399C22×C4—711no—
1400C22×C4—711no—
1401C22×C4—1422no—
1402C22×C4—1422no—
1403C22×C4—1422no—
1404C22×C4—1422no—
1405C22×C4—1422no—
1406C22×C4—1422no—
1407C22×C4—1422no—
1408C22×C4—1422no—
1409C22×C4—1422no—
1410C22×C4—1422no—
1411C22×C4—1422no—
1412C22×C4—1422no—
1413C22×C4—1422no—
1414C22×C4—1422no—
1415C22×C4—1422no—
1416C22×C4—1422no—
1417C22×C4—1422no—
1418C22×C4—1422no—
1419C22×C4—1422no—
1420C22×C4—1422no—
1421C22×C4—1422no—
1422C22×C4—1422no—
1423C22×C4—1422no—
1424C22×C4—1422no—
1425C22×C4—1422no—
1426C22×C4C23×D7111yescharacteristic
1427C22×C4C23×D7111yescharacteristic
1428C22×C4C23×D7111yescharacteristic
1429C22×C4C23×D7111yescharacteristic
1430C22×C4C23×D7111yescharacteristic
1431C22×C4C23×D7111yescharacteristic
1432C22×C4C23×D7111yescharacteristic
1433C22×C4C23×D7111yescharacteristic
1434C22×C4C23×D7111yescharacteristic
1435C22×C4C23×D7111yescharacteristic
1436C22×C4C23×D7111yescharacteristic
1437C22×C4C23×D7111yescharacteristic
1438C22×C4C23×D7111yescharacteristic
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—41no—
1444C4⋊C4—41no—
1445C4⋊C4—41no—
1446C4⋊C4—2841no—
1447C4⋊C4—2841no—
1448C4⋊C4—2841no—
1449C4⋊C4—2841no—
1450C4⋊C4—2841no—
1451C4⋊C4—2841no—
1452C4⋊C4—2841no—
1453C4⋊C4—2841no—
1454C4⋊C4—2841no—
1455C4⋊C4—1422no—
1456C4⋊C4—1422no—
1457C4⋊C4—1422no—
1458C4⋊C4—1422no—
1459C4⋊C4—1422no—
1460C4⋊C4—1422no—
1461C4⋊C4—1422no—
1462C4⋊C4—1422no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—2841no—
1472C22⋊C4—2841no—
1473C22⋊C4—2841no—
1474C22⋊C4—2841no—
1475C22⋊C4—2841no—
1476C22⋊C4—2841no—
1477C22⋊C4—2841no—
1478C22⋊C4—2841no—
1479C22⋊C4—2841no—
1480C22⋊C4—2841no—
1481C22⋊C4—2841no—
1482C22⋊C4—2841no—
1483C22⋊C4—2841no—
1484C22⋊C4—2841no—
1485C22⋊C4—2841no—
1486C22⋊C4—2841no—
1487C22⋊C4—2841no—
1488C22⋊C4—2841no—
1489C22⋊C4—1422no—
1490C22⋊C4—1422no—
1491C22⋊C4—1422no—
1492C22⋊C4—1422no—
1493C22⋊C4—1422no—
1494C22⋊C4—1422no—
1495C22⋊C4—1422no—
1496C22⋊C4—1422no—
1497C22⋊C4—1422no—
1498C22⋊C4—1422no—
1499C22⋊C4—1422no—
1500C22⋊C4—1422no—
1501C22⋊C4—1422no—
1502C22⋊C4—1422no—
1503C22⋊C4—1422no—
1504C22⋊C4—1422no—
1505C22⋊C4—1422no—
1506C22⋊C4—1422no—
1507C22⋊C4—1422no—
1508C22⋊C4—1422no—
1509C22⋊C4—1422no—
1510C22⋊C4—1422no—
1511C22⋊C4—1422no—
1512C22⋊C4—1422no—
1513C22⋊C4—1422no—
1514C22⋊C4—1422no—
1515C42—22no—
1516C42—1422no—
1517C42—1422no—
1518C42—1422no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—2844no—
1530C23—2844no—
1531C23—2844no—
1532C23—2844no—
1533C23—2844no—
1534C23—2844no—
1535C23—2844no—
1536C23—2844no—
1537C23—2844no—
1538C23—2844no—
1539C23—2844no—
1540C23—2844no—
1541C23—2844no—
1542C23—2844no—
1543C23—2844no—
1544C23—5682no—
1545C23—5682no—
1546C23—5682no—
1547C23—5682no—
1548C23—7116no—
1549C23—712no—
1550C23—712no—
1551C23—712no—
1552C23—712no—
1553C23—712no—
1554C23—712no—
1555C23—712no—
1556C23—1428no—
1557C23—1421no—
1558C23—1421no—
1559C23—1421no—
1560C23—1421no—
1561C23—1421no—
1562C23—1421no—
1563C23—1421no—
1564C23—1421no—
1565C23—1421no—
1566C23—1421no—
1567C23—1421no—
1568C23—1421no—
1569C23—1421no—
1570C23—1421no—
1571C23—1421no—
1572C23—1421no—
1573C23—1421no—
1574C23—1421no—
1575C23—1421no—
1576C23—1421no—
1577C23—1421no—
1578C23—1421no—
1579C23—1421no—
1580C23—1421no—
1581C23—1421no—
1582C23—1421no—
1583C23—1421no—
1584C23—1421no—
1585C23C2×D4×D7112yes—
1586C23C2×D4×D7112yes—
1587C23#41×D7112yes—
1588C23#41×D7112yes—
1589C23C24×D7111yescharacteristic
1590D4—28no—
1591D4—2844no—
1592D4—2844no—
1593D4—2844no—
1594D4—2844no—
1595D4—5682no—
1596D4—5682no—
1597D4—5682no—
1598D4—5682no—
1599D4—1428no—
1600D4—1428no—
1601D4—1428no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—82no—
1643C2×C4—2844no—
1644C2×C4—2844no—
1645C2×C4—2844no—
1646C2×C4—2844no—
1647C2×C4—2844no—
1648C2×C4—2844no—
1649C2×C4—2844no—
1650C2×C4—2844no—
1651C2×C4—2844no—
1652C2×C4—2844no—
1653C2×C4—2844no—
1654C2×C4—5682no—
1655C2×C4—5682no—
1656C2×C4—5682no—
1657C2×C4—712no—
1658C2×C4—712no—
1659C2×C4—1428no—
1660C2×C4—1428no—
1661C2×C4—1421no—
1662C2×C4—1421no—
1663C2×C4—1421no—
1664C2×C4—1421no—
1665C2×C4—1421no—
1666C2×C4—1421no—
1667C2×C4—1421no—
1668C2×C4—1421no—
1669C2×C4—1421no—
1670C2×C4—1421no—
1671C2×C4—1421no—
1672C2×C4—1421no—
1673C2×C4—1421no—
1674C2×C4—1421no—
1675C2×C4—1421no—
1676C2×C4—1421no—
1677C2×C4—1421no—
1678C2×C4—1421no—
1679C2×C4—1421no—
1680C2×C4—1421no—
1681C2×C4—1421no—
1682C2×C4—1421no—
1683C2×C4—1421no—
1684C2×C4—1421no—
1685C2×C4—1421no—
1686C2×C4—1421no—
1687C2×C4—1421no—
1688C2×C4—1421no—
1689C2×C4—1421no—
1690C2×C4—1421no—
1691C2×C4—1421no—
1692C2×C4C2×D4×D7112yes—
1693C2×C4#1455617412yes—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—28416no—
1708C22—28416no—
1709C22—2841no—
1710C22—2841no—
1711C22—2841no—
1712C22—2841no—
1713C22—2841no—
1714C22—2841no—
1715C22—2841no—
1716C22—2841no—
1717C22—2841no—
1718C22—2841no—
1719C22—2841no—
1720C22—2841no—
1721C22—2841no—
1722C22—2841no—
1723C22—2841no—
1724C22—2841no—
1725C22—2841no—
1726C22—2841no—
1727C22—5688no—
1728C22—714no—
1729C22—714no—
1730C22—1422no—
1731C22—1422no—
1732C22—1422no—
1733C22—1422no—
1734C22—1422no—
1735C22—1422no—
1736C22—1422no—
1737C22—1422no—
1738C22—1422no—
1739C22—1422no—
1740C22—1422no—
1741C22—1422no—
1742C22—1422no—
1743C22—1422no—
1744C22—1422no—
1745C22#123×D7114yes—
1746C22C22×D4×D7111yescharacteristic
1747C22C2×#41×D7111yescharacteristic
1748C22C2×#41×D7111yescharacteristic
1749C22H(5,𝔽2)×D7111yescharacteristic
1750C22C2×#1455617411yescharacteristic
1751C22#1798683511yescharacteristic
1752C22#1798683611yescharacteristic
1753C4—22no—
1754C4—22no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—2841no—
1767C4—2841no—
1768C4—2841no—
1769C4—2841no—
1770C4—2841no—
1771C4—2841no—
1772C4—2841no—
1773C4—2841no—
1774C4—2841no—
1775C4—1422no—
1776C4—1422no—
1777C2—24no—
1778C2—42no—
1779C2—2842no—
1780C2—5681no—
1781C2—5681no—
1782C2—1424no—
1783C2—1424no—
1784C2C2×#123×D7111yescharacteristic
1785C2#2260174811yescharacteristic
1786C2#2260175011yescharacteristic
1787C2#2260197011yescharacteristic
1788C2#2260197911yescharacteristic
1789C2#2260217111yescharacteristic
1790C2#2260218011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D71
commutator, socle, cosocleC23×C71C25
FittingC71×#2419C2
prime radicalC2×#17986560C2
hypercenter#2419D71
hypocenterC71#34983
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C23 ◁ #2419

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D71C2semidirect
3. #22596664C2semidirect
4. #22596664C2semidirect
5. #22596635C2semidirect
6. #22596633C2semidirect
7. #22594127C2semidirect
8. #22594121C2semidirect
9. #22594114C2semidirect
10. #22594114C2semidirect
11. #22592095C2semidirect
12. #22592091C2semidirect
13. #22592089C2semidirect
14. #22592085C2semidirect
15. #22592080C2semidirect
16. #22592076C2semidirect
17. #22592074C2semidirect
18. #22592070C2semidirect
19. #22591821C2semidirect
20. #22591817C2semidirect
21. #22591813C2semidirect
22. #22591808C2semidirect
23. #22591804C2semidirect
24. #22591800C2semidirect
25. #22591796C2semidirect
26. #22590953C2semidirect
27. #22590917C2semidirect
28. #22590914C2semidirect
29. C2×#17985877C2semidirect
30. #385×D71C2semidirect
31. C71×#2419C2semidirect
35. C23×C4×D71C22semidirect
39. C2×#14556113C22semidirect
40. C2×#14556113C22semidirect
41. C2×#14556112C22semidirect
43. C2×#14556111C22semidirect
52. C2×C4×D284C22semidirect
54. C2×#14556090C22semidirect
56. C2×C4×C22⋊D71C22semidirect
58. C2×(C22⋊D71)⋊C4C22semidirect
60. C2×C4⋊C4×D71C22semidirect
61. C2×C4⋊C4×D71C22semidirect
62. C2×C4⋊C4×D71C22semidirect
64. C22×(C2×D71)⋊C4C22semidirect
65. C22×(C2×D71)⋊C4C22semidirect
69. C2×C22⋊C4×D71C22semidirect
70. C2×C42×D71C22semidirect
71. #17985940C22semidirect
72. #17985940C22semidirect
73. #17985938C22semidirect
74. #17985936C22semidirect
75. #17985934C22semidirect
76. #17985934C22semidirect
77. #17985934C22semidirect
78. #17985933C22semidirect
79. #17985933C22semidirect
80. #17985929C22semidirect
81. #17985928C22semidirect
82. #17985928C22semidirect
83. #17985928C22semidirect
84. #17985928C22semidirect
85. #17985927C22semidirect
86. #17985927C22semidirect
87. #17985926C22semidirect
88. #17985926C22semidirect
89. #17985926C22semidirect
90. #17985925C22semidirect
91. #17985917C22semidirect
92. #17985917C22semidirect
93. #17985916C22semidirect
94. #17985916C22semidirect
95. #17985915C22semidirect
96. #17985915C22semidirect
97. #17985914C22semidirect
98. #17985914C22semidirect
99. #17985891C22semidirect
100. #17985891C22semidirect
101. #17985890C22semidirect
102. #17985890C22semidirect
103. #17985889C22semidirect
104. #17985889C22semidirect
105. #17985888C22semidirect
106. #17985888C22semidirect
107. #17985882C22semidirect
108. #17985882C22semidirect
109. #17985881C22semidirect
110. #17985881C22semidirect
111. #17985880C22semidirect
112. #17985880C22semidirect
115. #17985878C22semidirect
124. #17985877C22semidirect
125. #17985877C22semidirect
126. #17985877C22semidirect
127. #17985877C22semidirect
128. #17985877C22semidirect
129. #17985877C22semidirect
130. #17985877C22semidirect
131. #17985877C22semidirect
132. #17985877C22semidirect
133. #17985877C22semidirect
134. #17985877C22semidirect
135. #17985877C22semidirect
137. #17985876C22semidirect
138. #17985875C22semidirect
139. #17985875C22semidirect
140. #17985874C22semidirect
141. #17985873C22semidirect
142. #17985873C22semidirect
143. #17985873C22semidirect
144. #17985873C22semidirect
145. #17985873C22semidirect
146. #17985873C22semidirect
147. #17985873C22semidirect
148. #17985873C22semidirect
149. #17985872C22semidirect
150. #17985871C22semidirect
151. #17985871C22semidirect
152. #17985870C22semidirect
153. #17985870C22semidirect
154. #17985870C22semidirect
155. #17985870C22semidirect
156. #17985870C22semidirect
157. #17985870C22semidirect
158. #17985862C22semidirect
159. #17985861C22semidirect
160. #17985861C22semidirect
161. #17985861C22semidirect
162. #17985861C22semidirect
163. #17985860C22semidirect
164. #17985859C22semidirect
165. #17985857C22semidirect
166. #17985857C22semidirect
167. #17985854C22semidirect
168. #17985854C22semidirect
169. #17985854C22semidirect
170. #17985854C22semidirect
171. C2×C71⋊#95C22semidirect
172. #95×D71C22semidirect
173. #95×D71C22semidirect
176. #400×C71C22semidirect
177. #398×C71C22semidirect
178. #397×C71C22semidirect
179. #397×C71C22semidirect
180. #387×C71C22semidirect
181. #387×C71C22semidirect
183. #385×C71C22semidirect
184. #385×C71C22semidirect
185. #381×C71C22semidirect
186. #381×C71C22semidirect
187. #380×C71C22semidirect
188. C2×#95×C71C22semidirect
686. C22×D71#123semidirect
917. #2419D71semidirect
927. C71#34983semidirect
972. #400C2×D71semidirect
980. #398C2×D71semidirect
991. #397C2×D71semidirect
992. #397C2×D71semidirect
1015. #387C2×D71semidirect
1016. #387C2×D71semidirect
1063. #385C2×D71semidirect
1064. #385C2×D71semidirect
1071. #381C2×D71semidirect
1072. #381C2×D71semidirect
1076. #380C2×D71semidirect
1084. C2×#95C2×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179865602
C2×C4×D4×D712
#225966642
#225966352
#225966332
#225941272
#225941212
#225941142
#225920952
#225920912
#225920892
#225920852
#225920802
#225920762
#225920742
#225920702
#225918212
#225918172
#225918132
#225918082
#225918042
#225918002
#225917962
#225909532
#225909172
#225909142
C2×#179858772
#385×D712
C71×#24192
#3498371