Finite Group Databasebeta

← C137×#34456 #46883842

Subgroups — C137×#34456 #46883842

Order 35072.

2844 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#546×C137C211yesmaximal, characteristic
2#2379×C137C211yesmaximal, characteristic, complemented
3#2377×C137C211yesmaximal, characteristic, complemented
4#2377×C137C211yesmaximal, characteristic, complemented
5#2376×C137C211yesmaximal, characteristic, complemented
6#2368×C137C211yesmaximal, characteristic, complemented
7#2361×C137C211yesmaximal, characteristic, complemented
8#2359×C137C211yesmaximal, characteristic, complemented
9#2358×C137C211yesmaximal, characteristic, complemented
10#2358×C137C211yesmaximal, characteristic, complemented
11#2352×C137C211yesmaximal, characteristic, complemented
12#2349×C137C211yesmaximal, characteristic, complemented
13#2342×C137C211yesmaximal, characteristic, complemented
14#2342×C137C211yesmaximal, characteristic, complemented
15#2339×C137C211yesmaximal, characteristic, complemented
16D4×C22⋊C4×C137C211yesmaximal, characteristic, complemented
17#2337×C137C211yesmaximal, characteristic, complemented
18#2335×C137C211yesmaximal, characteristic, complemented
19#2329×C137C211yesmaximal, characteristic, complemented
20#2325×C137C211yesmaximal, characteristic, complemented
21#2325×C137C211yesmaximal, characteristic, complemented
22#2324×C137C211yesmaximal, characteristic, complemented
23#2322×C137C211yesmaximal, characteristic, complemented
24#2321×C137C211yesmaximal, characteristic, complemented
25#2318×C137C211yesmaximal, characteristic, complemented
26#2318×C137C211yesmaximal, characteristic, complemented
27#2315×C137C211yesmaximal, characteristic, complemented
28#2311×C137C211yesmaximal, characteristic, complemented
29C4×#120×C137C211yesmaximal, characteristic, complemented
30C2×#386×C137C211yesmaximal, characteristic, complemented
31C2×#385×C137C211yesmaximal, characteristic, complemented
32C22×#41×C137C2211yescharacteristic
33C23×D4×C137C2211yescharacteristic
34C24×C4×C137C2211yescharacteristic
35#546×C137C4116yescomplemented
36C2×#124×C137C2211yescharacteristic
37C2×#123×C137C2211yescharacteristic
38C2×#123×C137C2211yescharacteristic
39C2×C22⋊Q8×C137C2211yescharacteristic
40C2×#121×C137C2211yescharacteristic
41C2×#121×C137C2211yescharacteristic
42C2×#121×C137C2211yescharacteristic
43C2×#120×C137C2211yescharacteristic
44C2×#120×C137C2211yescharacteristic
45C2×C4×D4×C137C2211yescharacteristic
46C2×C4×D4×C137C2211yescharacteristic
47C2×C4×D4×C137C2211yescharacteristic
48C2×C4×D4×C137C2211yescharacteristic
49C2×C4×D4×C137C2211yescharacteristic
50C2×C4×D4×C137C2211yescharacteristic
51C2×C4×D4×C137C2211yescharacteristic, complemented
52C2×C4×D4×C137C2211yescharacteristic, complemented
53C2×C4×D4×C137C2211yescharacteristic, complemented
54C2×C4×D4×C137C2211yescharacteristic, complemented
55C2×#117×C137C2211yescharacteristic, complemented
56C2×#117×C137C2211yescharacteristic, complemented
57C22×C4⋊C4×C137C2211yescharacteristic, complemented
58C22×C4⋊C4×C137C2211yescharacteristic, complemented
59C22×C22⋊C4×C137C2211yescharacteristic
60C22×C22⋊C4×C137C2211yescharacteristic
61C22×C22⋊C4×C137C2211yescharacteristic
62C22×C22⋊C4×C137C2211yescharacteristic
63C22×C22⋊C4×C137C2211yescharacteristic
64C22×C22⋊C4×C137C2211yescharacteristic
65C22×C22⋊C4×C137C2211yescharacteristic
66#391×C137C2211yescharacteristic, complemented
67#391×C137C2211yescharacteristic, complemented
68#391×C137C2211yescharacteristic, complemented
69#391×C137C2211yescharacteristic, complemented
70#390×C137C2211yescharacteristic
71#390×C137C2211yescharacteristic
72#390×C137C2211yescharacteristic, complemented
73#390×C137C2211yescharacteristic, complemented
74#390×C137C2211yescharacteristic, complemented
75#390×C137C2211yescharacteristic, complemented
76#389×C137C2211yescharacteristic, complemented
77#389×C137C2211yescharacteristic, complemented
78#389×C137C2211yescharacteristic, complemented
79#389×C137C2211yescharacteristic, complemented
80#388×C137C2211yescharacteristic, complemented
81#388×C137C2211yescharacteristic, complemented
82#388×C137C2211yescharacteristic, complemented
83#388×C137C2211yescharacteristic, complemented
84#388×C137C2211yescharacteristic, complemented
85#388×C137C2211yescharacteristic, complemented
86#388×C137C2211yescharacteristic, complemented
87#388×C137C2211yescharacteristic, complemented
88#388×C137C2211yescharacteristic, complemented
89#388×C137C2211yescharacteristic, complemented
90#388×C137C2211yescharacteristic, complemented
91#388×C137C2211yescharacteristic, complemented
92#388×C137C2211yescharacteristic, complemented
93#388×C137C2211yescharacteristic, complemented
94#388×C137C2211yescharacteristic, complemented
95#388×C137C2211yescharacteristic, complemented
96#388×C137C2211yescharacteristic, complemented
97#388×C137C2211yescharacteristic, complemented
98#387×C137C2211yescharacteristic, complemented
99#387×C137C2211yescharacteristic, complemented
100#387×C137C2211yescharacteristic, complemented
101#387×C137C2211yescharacteristic, complemented
102#387×C137C2211yescharacteristic, complemented
103#387×C137C2211yescharacteristic, complemented
104#387×C137C2211yescharacteristic, complemented
105#387×C137C2211yescharacteristic, complemented
106#387×C137C2211yescharacteristic, complemented
107#387×C137C2211yescharacteristic, complemented
108#386×C137C2211yescharacteristic
109#386×C137C2211yescharacteristic
110#386×C137C2211yescharacteristic
111#386×C137C2211yescharacteristic
112#386×C137C2211yescharacteristic
113#386×C137C2211yescharacteristic
114#386×C137C2211yescharacteristic
115#386×C137C2211yescharacteristic
116#386×C137C2211yescharacteristic
117#386×C137C2211yescharacteristic
118#386×C137C2211yescharacteristic
119#386×C137C2211yescharacteristic
120#386×C137C2211yescharacteristic
121#386×C137C2211yescharacteristic
122#386×C137C2211yescharacteristic, complemented
123#386×C137C2211yescharacteristic, complemented
124#386×C137C2211yescharacteristic, complemented
125#386×C137C2211yescharacteristic, complemented
126#386×C137C2211yescharacteristic, complemented
127#386×C137C2211yescharacteristic, complemented
128#386×C137C2211yescharacteristic, complemented
129#386×C137C2211yescharacteristic, complemented
130#385×C137C2211yescharacteristic
131#385×C137C2211yescharacteristic
132#385×C137C2211yescharacteristic
133#385×C137C2211yescharacteristic
134#385×C137C2211yescharacteristic
135#385×C137C2211yescharacteristic
136#385×C137C2211yescharacteristic
137#385×C137C2211yescharacteristic
138#385×C137C2211yescharacteristic, complemented
139#385×C137C2211yescharacteristic, complemented
140#385×C137C2211yescharacteristic, complemented
141#385×C137C2211yescharacteristic, complemented
142#385×C137C2211yescharacteristic, complemented
143#385×C137C2211yescharacteristic, complemented
144#385×C137C2211yescharacteristic, complemented
145#385×C137C2211yescharacteristic, complemented
146#385×C137C2211yescharacteristic, complemented
147#385×C137C2211yescharacteristic, complemented
148#385×C137C2211yescharacteristic, complemented
149#385×C137C2211yescharacteristic, complemented
150#385×C137C2211yescharacteristic, complemented
151#385×C137C2211yescharacteristic, complemented
152#383×C137C2211yescharacteristic, complemented
153#382×C137C2211yescharacteristic, complemented
154#382×C137C2211yescharacteristic, complemented
155#381×C137C2211yescharacteristic, complemented
156#381×C137C2211yescharacteristic, complemented
157#381×C137C2211yescharacteristic, complemented
158#380×C137C2211yescharacteristic
159#380×C137C2211yescharacteristic, complemented
160#380×C137C2211yescharacteristic, complemented
161#380×C137C2211yescharacteristic, complemented
162#380×C137C2211yescharacteristic, complemented
163#380×C137C2211yescharacteristic, complemented
164#380×C137C2211yescharacteristic, complemented
165#380×C137C2211yescharacteristic, complemented
166#380×C137C2211yescharacteristic, complemented
167#379×C137C2211yescharacteristic
168#379×C137C2211yescharacteristic
169C4×C4⋊C4×C137C2211yescharacteristic, complemented
170C4×C4⋊C4×C137C2211yescharacteristic, complemented
171C4×C4⋊C4×C137C2211yescharacteristic, complemented
172C4×C22⋊C4×C137C2211yescharacteristic
173C4×C22⋊C4×C137C2211yescharacteristic
174C4×C22⋊C4×C137C2211yescharacteristic
175C4×C22⋊C4×C137C2211yescharacteristic
176C4×C22⋊C4×C137C2211yescharacteristic
177C4×C22⋊C4×C137C2211yescharacteristic, complemented
178C4×C22⋊C4×C137C2211yescharacteristic, complemented
179C4×C22⋊C4×C137C2211yescharacteristic, complemented
180C4×C22⋊C4×C137C2211yescharacteristic, complemented
181C4×C22⋊C4×C137C2211yescharacteristic, complemented
182C4×C22⋊C4×C137C2211yescharacteristic, complemented
183C2×#95×C137C2211yescharacteristic
184C2×#95×C137C2211yescharacteristic
185C2×#95×C137C2211yescharacteristic, complemented
186C2×#95×C137C2211yescharacteristic, complemented
187C2×#95×C137C2211yescharacteristic, complemented
188C25×C137C2311yescharacteristic
189C25×C137C2311yescharacteristic
190C2×#41×C137—42no—
191C2×#41×C137—42no—
192C2×#41×C137C2×C418yescomplemented
193C22×Q8×C137C2311yescharacteristic
194C22×D4×C137—42no—
195C22×D4×C137—42no—
196C22×D4×C137C2×C418yescomplemented
197C22×D4×C137C2311yescharacteristic
198C22×D4×C137C2311yescharacteristic
199C22×D4×C137C2311yescharacteristic
200C22×D4×C137C2311yescharacteristic
201C22×D4×C137C2311yescharacteristic
202C22×D4×C137C2311yescharacteristic
203C22×D4×C137C2311yescharacteristic
204C22×D4×C137C2311yescharacteristic
205C22×D4×C137C2311yescharacteristic
206C23×C4×C137—42no—
207C23×C4×C137—42no—
208C23×C4×C137—42no—
209C23×C4×C137C2311yescharacteristic
210C23×C4×C137C2311yescharacteristic
211C23×C4×C137C2311yescharacteristic
212C23×C4×C137C2311yescharacteristic
213C23×C4×C137C2311yescharacteristic
214C23×C4×C137C2311yescharacteristic
215C23×C4×C137C2311yescharacteristic
216C23×C4×C137C2311yescharacteristic
217C23×C4×C137C2311yescharacteristic
218C23×C4×C137C2311yescharacteristic
219C23×C4×C137C2311yescharacteristic
220C23×C4×C137C2311yescharacteristic
221C23×C4×C137C2311yescharacteristic
222C23×C4×C137C2311yescharacteristic
223C23×C4×C137C2311yescharacteristic
224C23×C4×C137C2311yescharacteristic
225C23×C4×C137C2311yescharacteristic
226C23×C4×C137C2311yescharacteristic
227C23×C4×C137C2311yescharacteristic
228C23×C4×C137C2311yescharacteristic
229#124×C137C2×C418yescomplemented
230#123×C137C2×C418yescomplemented
231#123×C137C2×C418yescomplemented
232C22⋊Q8×C137C2×C418yescomplemented
233#121×C137C2×C418yescomplemented
234#121×C137C2×C418yescomplemented
235#121×C137C2×C418yescomplemented
236#120×C137C2×C418yescomplemented
237#120×C137C2×C418yescomplemented
238C4×D4×C137—42no—
239C4×D4×C137—42no—
240C4×D4×C137—42no—
241C4×D4×C137—42no—
242C4×D4×C137—42no—
243C4×D4×C137—42no—
244C4×D4×C137—42no—
245C4×D4×C137—42no—
246C4×D4×C137C2×C418yescomplemented
247C4×D4×C137C2×C418yescomplemented
248#117×C137—42no—
249#117×C137—42no—
250C2×C4⋊C4×C137—42no—
251C2×C4⋊C4×C137—42no—
252C2×C4⋊C4×C137C2311yescharacteristic
253C2×C4⋊C4×C137C2311yescharacteristic
254C2×C4⋊C4×C137C2311yescharacteristic
255C2×C4⋊C4×C137C2311yescharacteristic
256C2×C4⋊C4×C137C2311yescharacteristic
257C2×C4⋊C4×C137C2311yescharacteristic
258C2×C4⋊C4×C137C2311yescharacteristic
259C2×C4⋊C4×C137C2311yescharacteristic
260C2×C4⋊C4×C137C2311yescharacteristic
261C2×C4⋊C4×C137C2311yescharacteristic
262C2×C4⋊C4×C137C2311yescharacteristic
263C2×C4⋊C4×C137C2311yescharacteristic
264C2×C4⋊C4×C137C2311yescharacteristic
265C2×C4⋊C4×C137C2311yescharacteristic
266C2×C4⋊C4×C137C2311yescharacteristic
267C2×C4⋊C4×C137C2311yescharacteristic
268C2×C4⋊C4×C137C2311yescharacteristic
269C2×C4⋊C4×C137C2311yescharacteristic
270C2×C4⋊C4×C137C2311yescharacteristic
271C2×C4⋊C4×C137C2311yescharacteristic
272C2×C4⋊C4×C137C2311yescharacteristic
273C2×C4⋊C4×C137C2311yescharacteristic
274C2×C4⋊C4×C137C2311yescharacteristic
275C2×C4⋊C4×C137C2311yescharacteristic
276C2×C22⋊C4×C137—42no—
277C2×C22⋊C4×C137—42no—
278C2×C22⋊C4×C137—42no—
279C2×C22⋊C4×C137—42no—
280C2×C22⋊C4×C137—42no—
281C2×C22⋊C4×C137C2×C418yescomplemented
282C2×C22⋊C4×C137C2×C418yescomplemented
283C2×C22⋊C4×C137C2311yescharacteristic
284C2×C22⋊C4×C137C2311yescharacteristic
285C2×C22⋊C4×C137C2311yescharacteristic
286C2×C22⋊C4×C137C2311yescharacteristic
287C2×C22⋊C4×C137C2311yescharacteristic
288C2×C22⋊C4×C137C2311yescharacteristic
289C2×C22⋊C4×C137C2311yescharacteristic
290C2×C22⋊C4×C137C2311yescharacteristic
291C2×C22⋊C4×C137C2311yescharacteristic
292C2×C22⋊C4×C137C2311yescharacteristic
293C2×C22⋊C4×C137C2311yescharacteristic
294C2×C22⋊C4×C137C2311yescharacteristic
295C2×C22⋊C4×C137C2311yescharacteristic
296C2×C22⋊C4×C137C2311yescharacteristic
297C2×C22⋊C4×C137C2311yescharacteristic
298C2×C22⋊C4×C137C2311yescharacteristic
299C2×C22⋊C4×C137C2311yescharacteristic
300C2×C22⋊C4×C137C2311yescharacteristic
301C2×C22⋊C4×C137C2311yescharacteristic
302C2×C22⋊C4×C137C2311yescharacteristic
303C2×C22⋊C4×C137C2311yescharacteristic
304C2×C22⋊C4×C137C2311yescharacteristic
305C2×C22⋊C4×C137C2311yescharacteristic
306C2×C22⋊C4×C137C2311yescharacteristic
307C2×C22⋊C4×C137C2311yescharacteristic
308C2×C22⋊C4×C137C2311yescharacteristic
309C2×C22⋊C4×C137C2311yescharacteristic
310C2×C22⋊C4×C137C2311yescharacteristic
311C2×C22⋊C4×C137C2311yescharacteristic
312C2×C22⋊C4×C137C2311yescharacteristic
313C2×C22⋊C4×C137C2311yescharacteristic
314C2×C22⋊C4×C137C2311yescharacteristic
315C2×C22⋊C4×C137C2311yescharacteristic
316C2×C22⋊C4×C137C2311yescharacteristic
317C2×C22⋊C4×C137C2311yescharacteristic
318C2×C22⋊C4×C137C2311yescharacteristic
319C2×C22⋊C4×C137C2311yescharacteristic
320C2×C22⋊C4×C137C2311yescharacteristic
321C2×C22⋊C4×C137C2311yescharacteristic
322C2×C22⋊C4×C137C2311yescharacteristic
323C2×C22⋊C4×C137C2311yescharacteristic
324C2×C22⋊C4×C137C2311yescharacteristic
325C2×C22⋊C4×C137C2311yescharacteristic
326C2×C22⋊C4×C137C2311yescharacteristic
327C2×C22⋊C4×C137C2311yescharacteristic
328C2×C22⋊C4×C137C2311yescharacteristic
329C2×C42×C137C2311yescharacteristic
330C2×C42×C137C2311yescharacteristic
331C2×C42×C137C2311yescharacteristic
332C2×C42×C137C2311yescharacteristic
333C2×C42×C137C2311yescharacteristic
334C2×C42×C137C2311yescharacteristic
335C2×C42×C137C2311yescharacteristic
336C2×C42×C137C2311yescharacteristic
337C2×C42×C137C2311yescharacteristic
338C2×C42×C137C2311yescharacteristic
339C2×C42×C137C2311yescharacteristic
340C2×C42×C137C2311yescharacteristic
341C2×C42×C137C2311yescharacteristic
342#95×C137C2311yescharacteristic
343#95×C137C2311yescharacteristic
344#95×C137C2311yescharacteristic
345#95×C137C2311yescharacteristic
346#95×C137C2311yescharacteristic
347#95×C137C2311yescharacteristic
348#95×C137C2311yescharacteristic
349#95×C137C2311yescharacteristic
350#95×C137C2311yescharacteristic
351#95×C137C2311yescharacteristic
352#95×C137C2311yescharacteristic
353#95×C137C2311yescharacteristic
354#95×C137C2311yescharacteristic
355#95×C137C2311yescharacteristic
356#95×C137C2311yescharacteristic
357#95×C137C2311yescharacteristic
358#95×C137C2311yescharacteristic
359#95×C137C2311yescharacteristic
360#95×C137C2311yescharacteristic
361#95×C137C2311yescharacteristic
362#95×C137C2311yescharacteristic
363#95×C137C2311yescharacteristic
364#95×C137C2311yescharacteristic
365#95×C137C2311yescharacteristic
366#95×C137C2311yescharacteristic
367#95×C137C2311yescharacteristic
368#95×C137C2311yescharacteristic
369#95×C137C2311yescharacteristic
370#95×C137C2311yescharacteristic
371#95×C137C2311yescharacteristic
372#95×C137C2311yescharacteristic
373#95×C137C2311yescharacteristic
374#95×C137C2311yescharacteristic
375#95×C137C2311yescharacteristic
376#95×C137C2311yescharacteristic
377#95×C137C2311yescharacteristic
378#95×C137C2311yescharacteristic
379#95×C137C2311yescharacteristic
380#95×C137C2311yescharacteristic
381#95×C137C2311yescharacteristic
382C24×C137—22no—
383C24×C137—22no—
384C24×C137—22no—
385C24×C137—22no—
386C24×C137—22no—
387C24×C137—22no—
388C24×C137—41no—
389C24×C137—41no—
390C24×C137—41no—
391C24×C137—41no—
392C24×C137—41no—
393C24×C137—41no—
394C24×C137C22×C414yes—
395C24×C137C22×C414yes—
396C24×C137C2411yescharacteristic
397C24×C137C2411yescharacteristic
398C24×C137C2411yescharacteristic
399C24×C137C2411yescharacteristic
400C24×C137C2411yescharacteristic
401C24×C137C2411yescharacteristic
402#41×C137—416no—
403C2×Q8×C137—41no—
404C2×Q8×C137—41no—
405C2×Q8×C137C22×C414yescomplemented
406C2×D4×C137—22no—
407C2×D4×C137—22no—
408C2×D4×C137—22no—
409C2×D4×C137—22no—
410C2×D4×C137—22no—
411C2×D4×C137—22no—
412C2×D4×C137—22no—
413C2×D4×C137—22no—
414C2×D4×C137—41no—
415C2×D4×C137—41no—
416C2×D4×C137—41no—
417C2×D4×C137—41no—
418C2×D4×C137—41no—
419C2×D4×C137—41no—
420C2×D4×C137—41no—
421C2×D4×C137—41no—
422C2×D4×C137—41no—
423C2×D4×C137—41no—
424C2×D4×C137—416no—
425C2×D4×C137C22×C414yes—
426C2×D4×C137C22×C414yes—
427C2×D4×C137C22×C414yes—
428C2×D4×C137C22×C414yes—
429C2×D4×C137C22×C414yes—
430C2×D4×C137C22×C414yes—
431C2×D4×C137C22×C414yes—
432C2×D4×C137C22×C414yescomplemented
433C2×D4×C137C22×C414yescomplemented
434C22×C4×C137—22no—
435C22×C4×C137—22no—
436C22×C4×C137—22no—
437C22×C4×C137—22no—
438C22×C4×C137—22no—
439C22×C4×C137—22no—
440C22×C4×C137—22no—
441C22×C4×C137—22no—
442C22×C4×C137—22no—
443C22×C4×C137—22no—
444C22×C4×C137—22no—
445C22×C4×C137—22no—
446C22×C4×C137—22no—
447C22×C4×C137—22no—
448C22×C4×C137—41no—
449C22×C4×C137—41no—
450C22×C4×C137—41no—
451C22×C4×C137—41no—
452C22×C4×C137—41no—
453C22×C4×C137—41no—
454C22×C4×C137—41no—
455C22×C4×C137—41no—
456C22×C4×C137—41no—
457C22×C4×C137—41no—
458C22×C4×C137—41no—
459C22×C4×C137—41no—
460C22×C4×C137—41no—
461C22×C4×C137—41no—
462C22×C4×C137—41no—
463C22×C4×C137—41no—
464C22×C4×C137—41no—
465C22×C4×C137—41no—
466C22×C4×C137—41no—
467C22×C4×C137—41no—
468C22×C4×C137—41no—
469C22×C4×C137—41no—
470C22×C4×C137—41no—
471C22×C4×C137—41no—
472C22×C4×C137—41no—
473C22×C4×C137—41no—
474C22×C4×C137—41no—
475C22×C4×C137—41no—
476C22×C4×C137—41no—
477C22×C4×C137—41no—
478C22×C4×C137—41no—
479C22×C4×C137—41no—
480C22×C4×C137—41no—
481C22×C4×C137—41no—
482C22×C4×C137—41no—
483C22×C4×C137—41no—
484C22×C4×C137—41no—
485C22×C4×C137—41no—
486C22×C4×C137—41no—
487C22×C4×C137—41no—
488C22×C4×C137—416no—
489C22×C4×C137C22×C414yes—
490C22×C4×C137C22×C414yes—
491C22×C4×C137C22×C414yes—
492C22×C4×C137C22×C414yescomplemented
493C22×C4×C137C22×C414yescomplemented
494C22×C4×C137C22×C414yescomplemented
495C22×C4×C137C2411yescharacteristic
496C22×C4×C137C2411yescharacteristic
497C22×C4×C137C2411yescharacteristic
498C22×C4×C137C2411yescharacteristic
499C22×C4×C137C2411yescharacteristic
500C22×C4×C137C2411yescharacteristic
501C22×C4×C137C2411yescharacteristic
502C22×C4×C137C2411yescharacteristic
503C22×C4×C137C2411yescharacteristic
504C22×C4×C137C2411yescharacteristic
505C22×C4×C137C2411yescharacteristic
506C22×C4×C137C2411yescharacteristic
507C22×C4×C137C2411yescharacteristic
508C22×C4×C137C2411yescharacteristic
509C22×C4×C137C2411yescharacteristic
510C22×C4×C137C2411yescharacteristic
511C22×C4×C137C2411yescharacteristic
512C22×C4×C137C2411yescharacteristic
513C22×C4×C137C2411yescharacteristic
514C22×C4×C137C2411yescharacteristic
515C22×C4×C137C2411yescharacteristic
516C22×C4×C137C2411yescharacteristic
517C22×C4×C137C2411yescharacteristic
518C22×C4×C137C2411yescharacteristic
519C22×C4×C137C2411yescharacteristic
520C4⋊C4×C137—22no—
521C4⋊C4×C137—22no—
522C4⋊C4×C137—41no—
523C4⋊C4×C137—41no—
524C4⋊C4×C137—41no—
525C4⋊C4×C137—41no—
526C4⋊C4×C137—41no—
527C4⋊C4×C137—41no—
528C4⋊C4×C137—41no—
529C4⋊C4×C137—41no—
530C4⋊C4×C137—41no—
531C4⋊C4×C137—41no—
532C4⋊C4×C137—41no—
533C4⋊C4×C137—41no—
534C4⋊C4×C137—41no—
535C4⋊C4×C137—41no—
536C4⋊C4×C137—41no—
537C4⋊C4×C137—41no—
538C4⋊C4×C137—41no—
539C4⋊C4×C137—41no—
540C4⋊C4×C137C22×C414yescomplemented
541C4⋊C4×C137C22×C414yescomplemented
542C4⋊C4×C137C22×C414yescomplemented
543C4⋊C4×C137C22×C414yescomplemented
544C22⋊C4×C137—22no—
545C22⋊C4×C137—22no—
546C22⋊C4×C137—22no—
547C22⋊C4×C137—22no—
548C22⋊C4×C137—22no—
549C22⋊C4×C137—22no—
550C22⋊C4×C137—22no—
551C22⋊C4×C137—22no—
552C22⋊C4×C137—22no—
553C22⋊C4×C137—22no—
554C22⋊C4×C137—41no—
555C22⋊C4×C137—41no—
556C22⋊C4×C137—41no—
557C22⋊C4×C137—41no—
558C22⋊C4×C137—41no—
559C22⋊C4×C137—41no—
560C22⋊C4×C137—41no—
561C22⋊C4×C137—41no—
562C22⋊C4×C137—41no—
563C22⋊C4×C137—41no—
564C22⋊C4×C137—41no—
565C22⋊C4×C137—41no—
566C22⋊C4×C137—41no—
567C22⋊C4×C137—41no—
568C22⋊C4×C137—41no—
569C22⋊C4×C137—41no—
570C22⋊C4×C137—41no—
571C22⋊C4×C137—41no—
572C22⋊C4×C137—41no—
573C22⋊C4×C137—41no—
574C22⋊C4×C137—41no—
575C22⋊C4×C137—41no—
576C22⋊C4×C137—41no—
577C22⋊C4×C137—41no—
578C22⋊C4×C137C22×C414yes—
579C22⋊C4×C137C22×C414yes—
580C22⋊C4×C137C22×C414yes—
581C22⋊C4×C137C22×C414yes—
582C22⋊C4×C137C22×C414yes—
583C22⋊C4×C137C22×C414yes—
584C22⋊C4×C137C22×C414yes—
585C22⋊C4×C137C22×C414yescomplemented
586C22⋊C4×C137C22×C414yescomplemented
587C22⋊C4×C137C22×C414yescomplemented
588C22⋊C4×C137C22×C414yescomplemented
589C22⋊C4×C137C22×C414yescomplemented
590C42×C137—22no—
591C42×C137—41no—
592C42×C137—41no—
593C42×C137—41no—
594C42×C137—41no—
595C42×C137—41no—
596C42×C137—41no—
597C42×C137—41no—
598C42×C137—41no—
599C42×C137—41no—
600C42×C137—41no—
601C42×C137—41no—
602C42×C137C22×C414yescomplemented
603C23×C137—21no—
604C23×C137—21no—
605C23×C137—21no—
606C23×C137—21no—
607C23×C137—21no—
608C23×C137—21no—
609C23×C137—21no—
610C23×C137—21no—
611C23×C137—28no—
612C23×C137—28no—
613C23×C137—21no—
614C23×C137—21no—
615C23×C137—21no—
616C23×C137—21no—
617C23×C137—21no—
618C23×C137—21no—
619C23×C137—21no—
620C23×C137—21no—
621C23×C137—21no—
622C23×C137—21no—
623C23×C137—21no—
624C23×C137—21no—
625C23×C137—21no—
626C23×C137—21no—
627C23×C137—21no—
628C23×C137—21no—
629C23×C137—21no—
630C23×C137—21no—
631C23×C137—21no—
632C23×C137—21no—
633C23×C137—21no—
634C23×C137—21no—
635C23×C137—21no—
636C23×C137—21no—
637C23×C137—28no—
638C23×C137—44no—
639C23×C137—44no—
640C23×C137—44no—
641C23×C137—44no—
642C23×C137—44no—
643C23×C137—44no—
644C23×C137—44no—
645C23×C137—82no—
646C23×C137—82no—
647C23×C137—82no—
648C23×C137—82no—
649C23×C137C23×C412yes—
650C23×C137C23×C412yes—
651C23×C137C23×C412yes—
652C23×C137C23×C412yes—
653C23×C137C23×C412yes—
654C23×C137C23×C412yes—
655C23×C137H(5,𝔽2)12yes—
656C23×C137H(5,𝔽2)12yes—
657C23×C137H(5,𝔽2)12yes—
658C23×C1372−1+412yes—
659C23×C137C2511yescharacteristic
660Q8×C137—44no—
661D4×C137—28no—
662D4×C137—28no—
663D4×C137—28no—
664D4×C137—28no—
665D4×C137—44no—
666D4×C137—44no—
667D4×C137—44no—
668D4×C137—44no—
669D4×C137—44no—
670C2×C4×C137—28no—
671C2×C4×C137—21no—
672C2×C4×C137—21no—
673C2×C4×C137—21no—
674C2×C4×C137—21no—
675C2×C4×C137—21no—
676C2×C4×C137—21no—
677C2×C4×C137—21no—
678C2×C4×C137—21no—
679C2×C4×C137—21no—
680C2×C4×C137—21no—
681C2×C4×C137—21no—
682C2×C4×C137—21no—
683C2×C4×C137—21no—
684C2×C4×C137—21no—
685C2×C4×C137—21no—
686C2×C4×C137—21no—
687C2×C4×C137—21no—
688C2×C4×C137—21no—
689C2×C4×C137—21no—
690C2×C4×C137—21no—
691C2×C4×C137—21no—
692C2×C4×C137—21no—
693C2×C4×C137—21no—
694C2×C4×C137—21no—
695C2×C4×C137—21no—
696C2×C4×C137—21no—
697C2×C4×C137—21no—
698C2×C4×C137—21no—
699C2×C4×C137—21no—
700C2×C4×C137—21no—
701C2×C4×C137—21no—
702C2×C4×C137—21no—
703C2×C4×C137—21no—
704C2×C4×C137—21no—
705C2×C4×C137—21no—
706C2×C4×C137—21no—
707C2×C4×C137—21no—
708C2×C4×C137—21no—
709C2×C4×C137—21no—
710C2×C4×C137—21no—
711C2×C4×C137—21no—
712C2×C4×C137—21no—
713C2×C4×C137—21no—
714C2×C4×C137—21no—
715C2×C4×C137—21no—
716C2×C4×C137—21no—
717C2×C4×C137—21no—
718C2×C4×C137—21no—
719C2×C4×C137—21no—
720C2×C4×C137—21no—
721C2×C4×C137—21no—
722C2×C4×C137—21no—
723C2×C4×C137—21no—
724C2×C4×C137—21no—
725C2×C4×C137—21no—
726C2×C4×C137—21no—
727C2×C4×C137—21no—
728C2×C4×C137—21no—
729C2×C4×C137—21no—
730C2×C4×C137—21no—
731C2×C4×C137—21no—
732C2×C4×C137—21no—
733C2×C4×C137—21no—
734C2×C4×C137—21no—
735C2×C4×C137—21no—
736C2×C4×C137—44no—
737C2×C4×C137—44no—
738C2×C4×C137—44no—
739C2×C4×C137—44no—
740C2×C4×C137—44no—
741C2×C4×C137—44no—
742C2×C4×C137—44no—
743C2×C4×C137—44no—
744C2×C4×C137—44no—
745C2×C4×C137—44no—
746C2×C4×C137—44no—
747C2×C4×C137—82no—
748C2×C4×C137—82no—
749C2×C4×C137—82no—
750C2×C4×C137—82no—
751C2×C4×C137—82no—
752C2×C4×C137—82no—
753C2×C4×C137—82no—
754C2×C4×C137—82no—
755C2×C4×C137C23×C412yes—
756C2×C4×C137C23×C412yes—
757C2×C4×C137C23×C412yes—
758C2×C4×C137C23×C412yes—
759C2×C4×C137C23×C412yes—
760C2×C4×C137C23×C412yes—
761C2×C4×C137C23×C412yes—
762C2×C4×C137C23×C412yes—
763C2×C4×C137C23×C412yes—
764C2×C4×C137H(5,𝔽2)12yes—
765C22×C137—22no—
766C22×C137—22no—
767C22×C137—22no—
768C22×C137—22no—
769C22×C137—22no—
770C22×C137—22no—
771C22×C137—22no—
772C22×C137—22no—
773C22×C137—22no—
774C22×C137—22no—
775C22×C137—22no—
776C22×C137—22no—
777C22×C137—22no—
778C22×C137—22no—
779C22×C137—22no—
780C22×C137—22no—
781C22×C137—22no—
782C22×C137—22no—
783C22×C137—22no—
784C22×C137—22no—
785C22×C137—22no—
786C22×C137—22no—
787C22×C137—22no—
788C22×C137—22no—
789C22×C137—416no—
790C22×C137—41no—
791C22×C137—41no—
792C22×C137—41no—
793C22×C137—41no—
794C22×C137—41no—
795C22×C137—41no—
796C22×C137—41no—
797C22×C137—41no—
798C22×C137—41no—
799C22×C137—41no—
800C22×C137—41no—
801C22×C137—41no—
802C22×C137—41no—
803C22×C137—41no—
804C22×C137—41no—
805C22×C137—41no—
806C22×C137—88no—
807C22×C137#51814yes—
808C22×C137#52014yes—
809C22×C137C24×C411yescharacteristic
810C22×C137C2×H(5,𝔽2)11yescharacteristic
811C22×C137C2×H(5,𝔽2)11yescharacteristic
812C22×C137C2×H(5,𝔽2)11yescharacteristic
813C22×C137C2×H(5,𝔽2)11yescharacteristic
814C22×C137C2×2−1+411yescharacteristic
815C22×C137#58511yescharacteristic
816C4×C137—22no—
817C4×C137—22no—
818C4×C137—22no—
819C4×C137—22no—
820C4×C137—22no—
821C4×C137—22no—
822C4×C137—22no—
823C4×C137—22no—
824C4×C137—22no—
825C4×C137—22no—
826C4×C137—41no—
827C4×C137—41no—
828C4×C137—41no—
829C4×C137—41no—
830C4×C137—41no—
831C4×C137—41no—
832C4×C137—41no—
833C4×C137—41no—
834C4×C137—41no—
835C4×C137—41no—
836C4×C137—41no—
837C4×C137—41no—
838C4×C137—41no—
839C4×C137—41no—
840C4×C137—41no—
841C2×C137—24no—
842C2×C137—24no—
843C2×C137—42no—
844C2×C137—42no—
845C2×C137—42no—
846C2×C137—42no—
847C2×C137C2×#51811yescharacteristic
848C2×C137C2×#52011yescharacteristic
849C2×C137C4×H(5,𝔽2)11yescharacteristic
850C2×C137#353211yescharacteristic
851C2×C137#353411yescharacteristic
852C2×C137#353511yescharacteristic
853C2×C137#353611yescharacteristic
854#34456C13711yesmaximal, characteristic, direct product factor, Sylow
855C137#3445611yescharacteristic, direct product factor, Sylow
856C2×#546C2×C13711yescharacteristic
857#2379C2×C13711yescharacteristic, complemented
858#2377C2×C13711yescharacteristic, complemented
859#2377C2×C13711yescharacteristic, complemented
860#2376C2×C13711yescharacteristic, complemented
861#2368C2×C13711yescharacteristic, complemented
862#2361C2×C13711yescharacteristic, complemented
863#2359C2×C13711yescharacteristic, complemented
864#2358C2×C13711yescharacteristic, complemented
865#2358C2×C13711yescharacteristic, complemented
866#2352C2×C13711yescharacteristic, complemented
867#2349C2×C13711yescharacteristic, complemented
868#2342C2×C13711yescharacteristic, complemented
869#2342C2×C13711yescharacteristic, complemented
870#2339C2×C13711yescharacteristic, complemented
871D4×C22⋊C4C2×C13711yescharacteristic, complemented
872#2337C2×C13711yescharacteristic, complemented
873#2335C2×C13711yescharacteristic, complemented
874#2329C2×C13711yescharacteristic, complemented
875#2325C2×C13711yescharacteristic, complemented
876#2325C2×C13711yescharacteristic, complemented
877#2324C2×C13711yescharacteristic, complemented
878#2322C2×C13711yescharacteristic, complemented
879#2321C2×C13711yescharacteristic, complemented
880#2318C2×C13711yescharacteristic, complemented
881#2318C2×C13711yescharacteristic, complemented
882#2315C2×C13711yescharacteristic, complemented
883#2311C2×C13711yescharacteristic, complemented
884C4×#120C2×C13711yescharacteristic, complemented
885C2×#386C2×C13711yescharacteristic, complemented
886C2×#385C2×C13711yescharacteristic, complemented
887C22×#41C22×C13711yescharacteristic
888C23×D4C22×C13711yescharacteristic
889C24×C4C22×C13711yescharacteristic
890#546C4×C137116yescomplemented
891C2×#124C22×C13711yescharacteristic
892C2×#123C22×C13711yescharacteristic
893C2×#123C22×C13711yescharacteristic
894C2×C22⋊Q8C22×C13711yescharacteristic
895C2×#121C22×C13711yescharacteristic
896C2×#121C22×C13711yescharacteristic
897C2×#121C22×C13711yescharacteristic
898C2×#120C22×C13711yescharacteristic
899C2×#120C22×C13711yescharacteristic
900C2×C4×D4C22×C13711yescharacteristic
901C2×C4×D4C22×C13711yescharacteristic
902C2×C4×D4C22×C13711yescharacteristic
903C2×C4×D4C22×C13711yescharacteristic
904C2×C4×D4C22×C13711yescharacteristic
905C2×C4×D4C22×C13711yescharacteristic
906C2×C4×D4C22×C13711yescharacteristic, complemented
907C2×C4×D4C22×C13711yescharacteristic, complemented
908C2×C4×D4C22×C13711yescharacteristic, complemented
909C2×C4×D4C22×C13711yescharacteristic, complemented
910C2×#117C22×C13711yescharacteristic, complemented
911C2×#117C22×C13711yescharacteristic, complemented
912C22×C4⋊C4C22×C13711yescharacteristic, complemented
913C22×C4⋊C4C22×C13711yescharacteristic, complemented
914C22×C22⋊C4C22×C13711yescharacteristic
915C22×C22⋊C4C22×C13711yescharacteristic
916C22×C22⋊C4C22×C13711yescharacteristic
917C22×C22⋊C4C22×C13711yescharacteristic
918C22×C22⋊C4C22×C13711yescharacteristic
919C22×C22⋊C4C22×C13711yescharacteristic
920C22×C22⋊C4C22×C13711yescharacteristic
921#391C22×C13711yescharacteristic, complemented
922#391C22×C13711yescharacteristic, complemented
923#391C22×C13711yescharacteristic, complemented
924#391C22×C13711yescharacteristic, complemented
925#390C22×C13711yescharacteristic
926#390C22×C13711yescharacteristic
927#390C22×C13711yescharacteristic, complemented
928#390C22×C13711yescharacteristic, complemented
929#390C22×C13711yescharacteristic, complemented
930#390C22×C13711yescharacteristic, complemented
931#389C22×C13711yescharacteristic, complemented
932#389C22×C13711yescharacteristic, complemented
933#389C22×C13711yescharacteristic, complemented
934#389C22×C13711yescharacteristic, complemented
935#388C22×C13711yescharacteristic, complemented
936#388C22×C13711yescharacteristic, complemented
937#388C22×C13711yescharacteristic, complemented
938#388C22×C13711yescharacteristic, complemented
939#388C22×C13711yescharacteristic, complemented
940#388C22×C13711yescharacteristic, complemented
941#388C22×C13711yescharacteristic, complemented
942#388C22×C13711yescharacteristic, complemented
943#388C22×C13711yescharacteristic, complemented
944#388C22×C13711yescharacteristic, complemented
945#388C22×C13711yescharacteristic, complemented
946#388C22×C13711yescharacteristic, complemented
947#388C22×C13711yescharacteristic, complemented
948#388C22×C13711yescharacteristic, complemented
949#388C22×C13711yescharacteristic, complemented
950#388C22×C13711yescharacteristic, complemented
951#388C22×C13711yescharacteristic, complemented
952#388C22×C13711yescharacteristic, complemented
953#387C22×C13711yescharacteristic, complemented
954#387C22×C13711yescharacteristic, complemented
955#387C22×C13711yescharacteristic, complemented
956#387C22×C13711yescharacteristic, complemented
957#387C22×C13711yescharacteristic, complemented
958#387C22×C13711yescharacteristic, complemented
959#387C22×C13711yescharacteristic, complemented
960#387C22×C13711yescharacteristic, complemented
961#387C22×C13711yescharacteristic, complemented
962#387C22×C13711yescharacteristic, complemented
963#386C22×C13711yescharacteristic
964#386C22×C13711yescharacteristic
965#386C22×C13711yescharacteristic
966#386C22×C13711yescharacteristic
967#386C22×C13711yescharacteristic
968#386C22×C13711yescharacteristic
969#386C22×C13711yescharacteristic
970#386C22×C13711yescharacteristic
971#386C22×C13711yescharacteristic
972#386C22×C13711yescharacteristic
973#386C22×C13711yescharacteristic
974#386C22×C13711yescharacteristic
975#386C22×C13711yescharacteristic
976#386C22×C13711yescharacteristic
977#386C22×C13711yescharacteristic, complemented
978#386C22×C13711yescharacteristic, complemented
979#386C22×C13711yescharacteristic, complemented
980#386C22×C13711yescharacteristic, complemented
981#386C22×C13711yescharacteristic, complemented
982#386C22×C13711yescharacteristic, complemented
983#386C22×C13711yescharacteristic, complemented
984#386C22×C13711yescharacteristic, complemented
985#385C22×C13711yescharacteristic
986#385C22×C13711yescharacteristic
987#385C22×C13711yescharacteristic
988#385C22×C13711yescharacteristic
989#385C22×C13711yescharacteristic
990#385C22×C13711yescharacteristic
991#385C22×C13711yescharacteristic
992#385C22×C13711yescharacteristic
993#385C22×C13711yescharacteristic, complemented
994#385C22×C13711yescharacteristic, complemented
995#385C22×C13711yescharacteristic, complemented
996#385C22×C13711yescharacteristic, complemented
997#385C22×C13711yescharacteristic, complemented
998#385C22×C13711yescharacteristic, complemented
999#385C22×C13711yescharacteristic, complemented
1000#385C22×C13711yescharacteristic, complemented
1001#385C22×C13711yescharacteristic, complemented
1002#385C22×C13711yescharacteristic, complemented
1003#385C22×C13711yescharacteristic, complemented
1004#385C22×C13711yescharacteristic, complemented
1005#385C22×C13711yescharacteristic, complemented
1006#385C22×C13711yescharacteristic, complemented
1007#383C22×C13711yescharacteristic, complemented
1008#382C22×C13711yescharacteristic, complemented
1009#382C22×C13711yescharacteristic, complemented
1010#381C22×C13711yescharacteristic, complemented
1011#381C22×C13711yescharacteristic, complemented
1012#381C22×C13711yescharacteristic, complemented
1013#380C22×C13711yescharacteristic
1014#380C22×C13711yescharacteristic, complemented
1015#380C22×C13711yescharacteristic, complemented
1016#380C22×C13711yescharacteristic, complemented
1017#380C22×C13711yescharacteristic, complemented
1018#380C22×C13711yescharacteristic, complemented
1019#380C22×C13711yescharacteristic, complemented
1020#380C22×C13711yescharacteristic, complemented
1021#380C22×C13711yescharacteristic, complemented
1022#379C22×C13711yescharacteristic
1023#379C22×C13711yescharacteristic
1024C4×C4⋊C4C22×C13711yescharacteristic, complemented
1025C4×C4⋊C4C22×C13711yescharacteristic, complemented
1026C4×C4⋊C4C22×C13711yescharacteristic, complemented
1027C4×C22⋊C4C22×C13711yescharacteristic
1028C4×C22⋊C4C22×C13711yescharacteristic
1029C4×C22⋊C4C22×C13711yescharacteristic
1030C4×C22⋊C4C22×C13711yescharacteristic
1031C4×C22⋊C4C22×C13711yescharacteristic
1032C4×C22⋊C4C22×C13711yescharacteristic, complemented
1033C4×C22⋊C4C22×C13711yescharacteristic, complemented
1034C4×C22⋊C4C22×C13711yescharacteristic, complemented
1035C4×C22⋊C4C22×C13711yescharacteristic, complemented
1036C4×C22⋊C4C22×C13711yescharacteristic, complemented
1037C4×C22⋊C4C22×C13711yescharacteristic, complemented
1038C2×#95C22×C13711yescharacteristic
1039C2×#95C22×C13711yescharacteristic
1040C2×#95C22×C13711yescharacteristic, complemented
1041C2×#95C22×C13711yescharacteristic, complemented
1042C2×#95C22×C13711yescharacteristic, complemented
1043C25C23×C13711yescharacteristic
1044C25C23×C13711yescharacteristic
1045C2×#41—42no—
1046C2×#41—42no—
1047C2×#41C2×C4×C13718yescomplemented
1048C22×Q8C23×C13711yescharacteristic
1049C22×D4—42no—
1050C22×D4—42no—
1051C22×D4C2×C4×C13718yescomplemented
1052C22×D4C23×C13711yescharacteristic
1053C22×D4C23×C13711yescharacteristic
1054C22×D4C23×C13711yescharacteristic
1055C22×D4C23×C13711yescharacteristic
1056C22×D4C23×C13711yescharacteristic
1057C22×D4C23×C13711yescharacteristic
1058C22×D4C23×C13711yescharacteristic
1059C22×D4C23×C13711yescharacteristic
1060C22×D4C23×C13711yescharacteristic
1061C23×C4—42no—
1062C23×C4—42no—
1063C23×C4—42no—
1064C23×C4C23×C13711yescharacteristic
1065C23×C4C23×C13711yescharacteristic
1066C23×C4C23×C13711yescharacteristic
1067C23×C4C23×C13711yescharacteristic
1068C23×C4C23×C13711yescharacteristic
1069C23×C4C23×C13711yescharacteristic
1070C23×C4C23×C13711yescharacteristic
1071C23×C4C23×C13711yescharacteristic
1072C23×C4C23×C13711yescharacteristic
1073C23×C4C23×C13711yescharacteristic
1074C23×C4C23×C13711yescharacteristic
1075C23×C4C23×C13711yescharacteristic
1076C23×C4C23×C13711yescharacteristic
1077C23×C4C23×C13711yescharacteristic
1078C23×C4C23×C13711yescharacteristic
1079C23×C4C23×C13711yescharacteristic
1080C23×C4C23×C13711yescharacteristic
1081C23×C4C23×C13711yescharacteristic
1082C23×C4C23×C13711yescharacteristic
1083C23×C4C23×C13711yescharacteristic
1084#124C2×C4×C13718yescomplemented
1085#123C2×C4×C13718yescomplemented
1086#123C2×C4×C13718yescomplemented
1087C22⋊Q8C2×C4×C13718yescomplemented
1088#121C2×C4×C13718yescomplemented
1089#121C2×C4×C13718yescomplemented
1090#121C2×C4×C13718yescomplemented
1091#120C2×C4×C13718yescomplemented
1092#120C2×C4×C13718yescomplemented
1093C4×D4—42no—
1094C4×D4—42no—
1095C4×D4—42no—
1096C4×D4—42no—
1097C4×D4—42no—
1098C4×D4—42no—
1099C4×D4—42no—
1100C4×D4—42no—
1101C4×D4C2×C4×C13718yescomplemented
1102C4×D4C2×C4×C13718yescomplemented
1103#117—42no—
1104#117—42no—
1105C2×C4⋊C4—42no—
1106C2×C4⋊C4—42no—
1107C2×C4⋊C4C23×C13711yescharacteristic
1108C2×C4⋊C4C23×C13711yescharacteristic
1109C2×C4⋊C4C23×C13711yescharacteristic
1110C2×C4⋊C4C23×C13711yescharacteristic
1111C2×C4⋊C4C23×C13711yescharacteristic
1112C2×C4⋊C4C23×C13711yescharacteristic
1113C2×C4⋊C4C23×C13711yescharacteristic
1114C2×C4⋊C4C23×C13711yescharacteristic
1115C2×C4⋊C4C23×C13711yescharacteristic
1116C2×C4⋊C4C23×C13711yescharacteristic
1117C2×C4⋊C4C23×C13711yescharacteristic
1118C2×C4⋊C4C23×C13711yescharacteristic
1119C2×C4⋊C4C23×C13711yescharacteristic
1120C2×C4⋊C4C23×C13711yescharacteristic
1121C2×C4⋊C4C23×C13711yescharacteristic
1122C2×C4⋊C4C23×C13711yescharacteristic
1123C2×C4⋊C4C23×C13711yescharacteristic
1124C2×C4⋊C4C23×C13711yescharacteristic
1125C2×C4⋊C4C23×C13711yescharacteristic
1126C2×C4⋊C4C23×C13711yescharacteristic
1127C2×C4⋊C4C23×C13711yescharacteristic
1128C2×C4⋊C4C23×C13711yescharacteristic
1129C2×C4⋊C4C23×C13711yescharacteristic
1130C2×C4⋊C4C23×C13711yescharacteristic
1131C2×C22⋊C4—42no—
1132C2×C22⋊C4—42no—
1133C2×C22⋊C4—42no—
1134C2×C22⋊C4—42no—
1135C2×C22⋊C4—42no—
1136C2×C22⋊C4C2×C4×C13718yescomplemented
1137C2×C22⋊C4C2×C4×C13718yescomplemented
1138C2×C22⋊C4C23×C13711yescharacteristic
1139C2×C22⋊C4C23×C13711yescharacteristic
1140C2×C22⋊C4C23×C13711yescharacteristic
1141C2×C22⋊C4C23×C13711yescharacteristic
1142C2×C22⋊C4C23×C13711yescharacteristic
1143C2×C22⋊C4C23×C13711yescharacteristic
1144C2×C22⋊C4C23×C13711yescharacteristic
1145C2×C22⋊C4C23×C13711yescharacteristic
1146C2×C22⋊C4C23×C13711yescharacteristic
1147C2×C22⋊C4C23×C13711yescharacteristic
1148C2×C22⋊C4C23×C13711yescharacteristic
1149C2×C22⋊C4C23×C13711yescharacteristic
1150C2×C22⋊C4C23×C13711yescharacteristic
1151C2×C22⋊C4C23×C13711yescharacteristic
1152C2×C22⋊C4C23×C13711yescharacteristic
1153C2×C22⋊C4C23×C13711yescharacteristic
1154C2×C22⋊C4C23×C13711yescharacteristic
1155C2×C22⋊C4C23×C13711yescharacteristic
1156C2×C22⋊C4C23×C13711yescharacteristic
1157C2×C22⋊C4C23×C13711yescharacteristic
1158C2×C22⋊C4C23×C13711yescharacteristic
1159C2×C22⋊C4C23×C13711yescharacteristic
1160C2×C22⋊C4C23×C13711yescharacteristic
1161C2×C22⋊C4C23×C13711yescharacteristic
1162C2×C22⋊C4C23×C13711yescharacteristic
1163C2×C22⋊C4C23×C13711yescharacteristic
1164C2×C22⋊C4C23×C13711yescharacteristic
1165C2×C22⋊C4C23×C13711yescharacteristic
1166C2×C22⋊C4C23×C13711yescharacteristic
1167C2×C22⋊C4C23×C13711yescharacteristic
1168C2×C22⋊C4C23×C13711yescharacteristic
1169C2×C22⋊C4C23×C13711yescharacteristic
1170C2×C22⋊C4C23×C13711yescharacteristic
1171C2×C22⋊C4C23×C13711yescharacteristic
1172C2×C22⋊C4C23×C13711yescharacteristic
1173C2×C22⋊C4C23×C13711yescharacteristic
1174C2×C22⋊C4C23×C13711yescharacteristic
1175C2×C22⋊C4C23×C13711yescharacteristic
1176C2×C22⋊C4C23×C13711yescharacteristic
1177C2×C22⋊C4C23×C13711yescharacteristic
1178C2×C22⋊C4C23×C13711yescharacteristic
1179C2×C22⋊C4C23×C13711yescharacteristic
1180C2×C22⋊C4C23×C13711yescharacteristic
1181C2×C22⋊C4C23×C13711yescharacteristic
1182C2×C22⋊C4C23×C13711yescharacteristic
1183C2×C22⋊C4C23×C13711yescharacteristic
1184C2×C42C23×C13711yescharacteristic
1185C2×C42C23×C13711yescharacteristic
1186C2×C42C23×C13711yescharacteristic
1187C2×C42C23×C13711yescharacteristic
1188C2×C42C23×C13711yescharacteristic
1189C2×C42C23×C13711yescharacteristic
1190C2×C42C23×C13711yescharacteristic
1191C2×C42C23×C13711yescharacteristic
1192C2×C42C23×C13711yescharacteristic
1193C2×C42C23×C13711yescharacteristic
1194C2×C42C23×C13711yescharacteristic
1195C2×C42C23×C13711yescharacteristic
1196C2×C42C23×C13711yescharacteristic
1197#95C23×C13711yescharacteristic
1198#95C23×C13711yescharacteristic
1199#95C23×C13711yescharacteristic
1200#95C23×C13711yescharacteristic
1201#95C23×C13711yescharacteristic
1202#95C23×C13711yescharacteristic
1203#95C23×C13711yescharacteristic
1204#95C23×C13711yescharacteristic
1205#95C23×C13711yescharacteristic
1206#95C23×C13711yescharacteristic
1207#95C23×C13711yescharacteristic
1208#95C23×C13711yescharacteristic
1209#95C23×C13711yescharacteristic
1210#95C23×C13711yescharacteristic
1211#95C23×C13711yescharacteristic
1212#95C23×C13711yescharacteristic
1213#95C23×C13711yescharacteristic
1214#95C23×C13711yescharacteristic
1215#95C23×C13711yescharacteristic
1216#95C23×C13711yescharacteristic
1217#95C23×C13711yescharacteristic
1218#95C23×C13711yescharacteristic
1219#95C23×C13711yescharacteristic
1220#95C23×C13711yescharacteristic
1221#95C23×C13711yescharacteristic
1222#95C23×C13711yescharacteristic
1223#95C23×C13711yescharacteristic
1224#95C23×C13711yescharacteristic
1225#95C23×C13711yescharacteristic
1226#95C23×C13711yescharacteristic
1227#95C23×C13711yescharacteristic
1228#95C23×C13711yescharacteristic
1229#95C23×C13711yescharacteristic
1230#95C23×C13711yescharacteristic
1231#95C23×C13711yescharacteristic
1232#95C23×C13711yescharacteristic
1233#95C23×C13711yescharacteristic
1234#95C23×C13711yescharacteristic
1235#95C23×C13711yescharacteristic
1236#95C23×C13711yescharacteristic
1237C24—22no—
1238C24—22no—
1239C24—22no—
1240C24—22no—
1241C24—22no—
1242C24—22no—
1243C24—41no—
1244C24—41no—
1245C24—41no—
1246C24—41no—
1247C24—41no—
1248C24—41no—
1249C24C22×C4×C13714yes—
1250C24C22×C4×C13714yes—
1251C24C24×C13711yescharacteristic
1252C24C24×C13711yescharacteristic
1253C24C24×C13711yescharacteristic
1254C24C24×C13711yescharacteristic
1255C24C24×C13711yescharacteristic
1256C24C24×C13711yescharacteristic
1257#41—416no—
1258C2×Q8—41no—
1259C2×Q8—41no—
1260C2×Q8C22×C4×C13714yescomplemented
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—416no—
1280C2×D4C22×C4×C13714yes—
1281C2×D4C22×C4×C13714yes—
1282C2×D4C22×C4×C13714yes—
1283C2×D4C22×C4×C13714yes—
1284C2×D4C22×C4×C13714yes—
1285C2×D4C22×C4×C13714yes—
1286C2×D4C22×C4×C13714yes—
1287C2×D4C22×C4×C13714yescomplemented
1288C2×D4C22×C4×C13714yescomplemented
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—416no—
1344C22×C4C22×C4×C13714yes—
1345C22×C4C22×C4×C13714yes—
1346C22×C4C22×C4×C13714yes—
1347C22×C4C22×C4×C13714yescomplemented
1348C22×C4C22×C4×C13714yescomplemented
1349C22×C4C22×C4×C13714yescomplemented
1350C22×C4C24×C13711yescharacteristic
1351C22×C4C24×C13711yescharacteristic
1352C22×C4C24×C13711yescharacteristic
1353C22×C4C24×C13711yescharacteristic
1354C22×C4C24×C13711yescharacteristic
1355C22×C4C24×C13711yescharacteristic
1356C22×C4C24×C13711yescharacteristic
1357C22×C4C24×C13711yescharacteristic
1358C22×C4C24×C13711yescharacteristic
1359C22×C4C24×C13711yescharacteristic
1360C22×C4C24×C13711yescharacteristic
1361C22×C4C24×C13711yescharacteristic
1362C22×C4C24×C13711yescharacteristic
1363C22×C4C24×C13711yescharacteristic
1364C22×C4C24×C13711yescharacteristic
1365C22×C4C24×C13711yescharacteristic
1366C22×C4C24×C13711yescharacteristic
1367C22×C4C24×C13711yescharacteristic
1368C22×C4C24×C13711yescharacteristic
1369C22×C4C24×C13711yescharacteristic
1370C22×C4C24×C13711yescharacteristic
1371C22×C4C24×C13711yescharacteristic
1372C22×C4C24×C13711yescharacteristic
1373C22×C4C24×C13711yescharacteristic
1374C22×C4C24×C13711yescharacteristic
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—41no—
1378C4⋊C4—41no—
1379C4⋊C4—41no—
1380C4⋊C4—41no—
1381C4⋊C4—41no—
1382C4⋊C4—41no—
1383C4⋊C4—41no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—41no—
1389C4⋊C4—41no—
1390C4⋊C4—41no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—41no—
1395C4⋊C4C22×C4×C13714yescomplemented
1396C4⋊C4C22×C4×C13714yescomplemented
1397C4⋊C4C22×C4×C13714yescomplemented
1398C4⋊C4C22×C4×C13714yescomplemented
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4C22×C4×C13714yes—
1434C22⋊C4C22×C4×C13714yes—
1435C22⋊C4C22×C4×C13714yes—
1436C22⋊C4C22×C4×C13714yes—
1437C22⋊C4C22×C4×C13714yes—
1438C22⋊C4C22×C4×C13714yes—
1439C22⋊C4C22×C4×C13714yes—
1440C22⋊C4C22×C4×C13714yescomplemented
1441C22⋊C4C22×C4×C13714yescomplemented
1442C22⋊C4C22×C4×C13714yescomplemented
1443C22⋊C4C22×C4×C13714yescomplemented
1444C22⋊C4C22×C4×C13714yescomplemented
1445C42—22no—
1446C42—41no—
1447C42—41no—
1448C42—41no—
1449C42—41no—
1450C42—41no—
1451C42—41no—
1452C42—41no—
1453C42—41no—
1454C42—41no—
1455C42—41no—
1456C42—41no—
1457C42C22×C4×C13714yescomplemented
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—28no—
1467C23—28no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—28no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—82no—
1501C23—82no—
1502C23—82no—
1503C23—82no—
1504C23C23×C4×C13712yes—
1505C23C23×C4×C13712yes—
1506C23C23×C4×C13712yes—
1507C23C23×C4×C13712yes—
1508C23C23×C4×C13712yes—
1509C23C23×C4×C13712yes—
1510C23H(5,𝔽2)×C13712yes—
1511C23H(5,𝔽2)×C13712yes—
1512C23H(5,𝔽2)×C13712yes—
1513C232−1+4×C13712yes—
1514C23C25×C13711yescharacteristic
1515Q8—44no—
1516D4—28no—
1517D4—28no—
1518D4—28no—
1519D4—28no—
1520D4—44no—
1521D4—44no—
1522D4—44no—
1523D4—44no—
1524D4—44no—
1525C2×C4—28no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—82no—
1603C2×C4—82no—
1604C2×C4—82no—
1605C2×C4—82no—
1606C2×C4—82no—
1607C2×C4—82no—
1608C2×C4—82no—
1609C2×C4—82no—
1610C2×C4C23×C4×C13712yes—
1611C2×C4C23×C4×C13712yes—
1612C2×C4C23×C4×C13712yes—
1613C2×C4C23×C4×C13712yes—
1614C2×C4C23×C4×C13712yes—
1615C2×C4C23×C4×C13712yes—
1616C2×C4C23×C4×C13712yes—
1617C2×C4C23×C4×C13712yes—
1618C2×C4C23×C4×C13712yes—
1619C2×C4H(5,𝔽2)×C13712yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—416no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—88no—
1662C22#518×C13714yes—
1663C22#520×C13714yes—
1664C22C24×C4×C13711yescharacteristic
1665C22C2×H(5,𝔽2)×C13711yescharacteristic
1666C22C2×H(5,𝔽2)×C13711yescharacteristic
1667C22C2×H(5,𝔽2)×C13711yescharacteristic
1668C22C2×H(5,𝔽2)×C13711yescharacteristic
1669C22C2×2−1+4×C13711yescharacteristic
1670C22#585×C13711yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C2—24no—
1697C2—24no—
1698C2—42no—
1699C2—42no—
1700C2—42no—
1701C2—42no—
1702C2C2×#518×C13711yescharacteristic
1703C2C2×#520×C13711yescharacteristic
1704C2C4×H(5,𝔽2)×C13711yescharacteristic
1705C2#3532×C13711yescharacteristic
1706C2#3534×C13711yescharacteristic
1707C2#3535×C13711yescharacteristic
1708C2#3536×C13711yescharacteristic
subgroupG/H
center, socleC23×C137C25
commutatorC22C24×C4×C137
Frattini, cosocleC23C25×C137
prime radicalC2×#546×C137C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C137 ◁ G

Complements

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

NH ≅ G/Ntype
2. #2379×C137C2semidirect
3. #2377×C137C2semidirect
4. #2377×C137C2semidirect
5. #2376×C137C2semidirect
6. #2368×C137C2semidirect
7. #2361×C137C2semidirect
8. #2359×C137C2semidirect
9. #2358×C137C2semidirect
10. #2358×C137C2semidirect
11. #2352×C137C2semidirect
12. #2349×C137C2semidirect
13. #2342×C137C2semidirect
14. #2342×C137C2semidirect
15. #2339×C137C2semidirect
16. D4×C22⋊C4×C137C2semidirect
17. #2337×C137C2semidirect
18. #2335×C137C2semidirect
19. #2329×C137C2semidirect
20. #2325×C137C2semidirect
21. #2325×C137C2semidirect
22. #2324×C137C2semidirect
23. #2322×C137C2semidirect
24. #2321×C137C2semidirect
25. #2318×C137C2semidirect
26. #2318×C137C2semidirect
27. #2315×C137C2semidirect
28. #2311×C137C2semidirect
29. C4×#120×C137C2semidirect
30. C2×#386×C137C2semidirect
31. C2×#385×C137C2semidirect
35. #546×C137C4semidirect
51. C2×C4×D4×C137C22semidirect
52. C2×C4×D4×C137C22semidirect
53. C2×C4×D4×C137C22semidirect
54. C2×C4×D4×C137C22semidirect
55. C2×#117×C137C22semidirect
56. C2×#117×C137C22semidirect
57. C22×C4⋊C4×C137C22semidirect
58. C22×C4⋊C4×C137C22semidirect
66. #391×C137C22semidirect
67. #391×C137C22semidirect
68. #391×C137C22semidirect
69. #391×C137C22semidirect
72. #390×C137C22semidirect
73. #390×C137C22semidirect
74. #390×C137C22semidirect
75. #390×C137C22semidirect
76. #389×C137C22semidirect
77. #389×C137C22semidirect
78. #389×C137C22semidirect
79. #389×C137C22semidirect
80. #388×C137C22semidirect
81. #388×C137C22semidirect
82. #388×C137C22semidirect
83. #388×C137C22semidirect
84. #388×C137C22semidirect
85. #388×C137C22semidirect
86. #388×C137C22semidirect
87. #388×C137C22semidirect
88. #388×C137C22semidirect
89. #388×C137C22semidirect
90. #388×C137C22semidirect
91. #388×C137C22semidirect
92. #388×C137C22semidirect
93. #388×C137C22semidirect
94. #388×C137C22semidirect
95. #388×C137C22semidirect
96. #388×C137C22semidirect
97. #388×C137C22semidirect
98. #387×C137C22semidirect
99. #387×C137C22semidirect
100. #387×C137C22semidirect
101. #387×C137C22semidirect
102. #387×C137C22semidirect
103. #387×C137C22semidirect
104. #387×C137C22semidirect
105. #387×C137C22semidirect
106. #387×C137C22semidirect
107. #387×C137C22semidirect
122. #386×C137C22semidirect
123. #386×C137C22semidirect
124. #386×C137C22semidirect
125. #386×C137C22semidirect
126. #386×C137C22semidirect
127. #386×C137C22semidirect
128. #386×C137C22semidirect
129. #386×C137C22semidirect
138. #385×C137C22semidirect
139. #385×C137C22semidirect
140. #385×C137C22semidirect
141. #385×C137C22semidirect
142. #385×C137C22semidirect
143. #385×C137C22semidirect
144. #385×C137C22semidirect
145. #385×C137C22semidirect
146. #385×C137C22semidirect
147. #385×C137C22semidirect
148. #385×C137C22semidirect
149. #385×C137C22semidirect
150. #385×C137C22semidirect
151. #385×C137C22semidirect
152. #383×C137C22semidirect
153. #382×C137C22semidirect
154. #382×C137C22semidirect
155. #381×C137C22semidirect
156. #381×C137C22semidirect
157. #381×C137C22semidirect
159. #380×C137C22semidirect
160. #380×C137C22semidirect
161. #380×C137C22semidirect
162. #380×C137C22semidirect
163. #380×C137C22semidirect
164. #380×C137C22semidirect
165. #380×C137C22semidirect
166. #380×C137C22semidirect
169. C4×C4⋊C4×C137C22semidirect
170. C4×C4⋊C4×C137C22semidirect
171. C4×C4⋊C4×C137C22semidirect
177. C4×C22⋊C4×C137C22semidirect
178. C4×C22⋊C4×C137C22semidirect
179. C4×C22⋊C4×C137C22semidirect
180. C4×C22⋊C4×C137C22semidirect
181. C4×C22⋊C4×C137C22semidirect
182. C4×C22⋊C4×C137C22semidirect
185. C2×#95×C137C22semidirect
186. C2×#95×C137C22semidirect
187. C2×#95×C137C22semidirect
192. C2×#41×C137C2×C4semidirect
196. C22×D4×C137C2×C4semidirect
229. #124×C137C2×C4semidirect
230. #123×C137C2×C4semidirect
231. #123×C137C2×C4semidirect
232. C22⋊Q8×C137C2×C4semidirect
233. #121×C137C2×C4semidirect
234. #121×C137C2×C4semidirect
235. #121×C137C2×C4semidirect
236. #120×C137C2×C4semidirect
237. #120×C137C2×C4semidirect
246. C4×D4×C137C2×C4semidirect
247. C4×D4×C137C2×C4semidirect
281. C2×C22⋊C4×C137C2×C4semidirect
282. C2×C22⋊C4×C137C2×C4semidirect
405. C2×Q8×C137C22×C4semidirect
432. C2×D4×C137C22×C4semidirect
433. C2×D4×C137C22×C4semidirect
492. C22×C4×C137C22×C4semidirect
493. C22×C4×C137C22×C4semidirect
494. C22×C4×C137C22×C4semidirect
540. C4⋊C4×C137C22×C4semidirect
541. C4⋊C4×C137C22×C4semidirect
542. C4⋊C4×C137C22×C4semidirect
543. C4⋊C4×C137C22×C4semidirect
585. C22⋊C4×C137C22×C4semidirect
586. C22⋊C4×C137C22×C4semidirect
587. C22⋊C4×C137C22×C4semidirect
588. C22⋊C4×C137C22×C4semidirect
589. C22⋊C4×C137C22×C4semidirect
602. C42×C137C22×C4semidirect
854. #34456C137direct (N × H)
855. C137#34456direct (N × H)
857. #2379C2×C137semidirect
858. #2377C2×C137semidirect
859. #2377C2×C137semidirect
860. #2376C2×C137semidirect
861. #2368C2×C137semidirect
862. #2361C2×C137semidirect
863. #2359C2×C137semidirect
864. #2358C2×C137semidirect
865. #2358C2×C137semidirect
866. #2352C2×C137semidirect
867. #2349C2×C137semidirect
868. #2342C2×C137semidirect
869. #2342C2×C137semidirect
870. #2339C2×C137semidirect
871. D4×C22⋊C4C2×C137semidirect
872. #2337C2×C137semidirect
873. #2335C2×C137semidirect
874. #2329C2×C137semidirect
875. #2325C2×C137semidirect
876. #2325C2×C137semidirect
877. #2324C2×C137semidirect
878. #2322C2×C137semidirect
879. #2321C2×C137semidirect
880. #2318C2×C137semidirect
881. #2318C2×C137semidirect
882. #2315C2×C137semidirect
883. #2311C2×C137semidirect
884. C4×#120C2×C137semidirect
885. C2×#386C2×C137semidirect
886. C2×#385C2×C137semidirect
890. #546C4×C137semidirect
906. C2×C4×D4C22×C137semidirect
907. C2×C4×D4C22×C137semidirect
908. C2×C4×D4C22×C137semidirect
909. C2×C4×D4C22×C137semidirect
910. C2×#117C22×C137semidirect
911. C2×#117C22×C137semidirect
912. C22×C4⋊C4C22×C137semidirect
913. C22×C4⋊C4C22×C137semidirect
921. #391C22×C137semidirect
922. #391C22×C137semidirect
923. #391C22×C137semidirect
924. #391C22×C137semidirect
927. #390C22×C137semidirect
928. #390C22×C137semidirect
929. #390C22×C137semidirect
930. #390C22×C137semidirect
931. #389C22×C137semidirect
932. #389C22×C137semidirect
933. #389C22×C137semidirect
934. #389C22×C137semidirect
935. #388C22×C137semidirect
936. #388C22×C137semidirect
937. #388C22×C137semidirect
938. #388C22×C137semidirect
939. #388C22×C137semidirect
940. #388C22×C137semidirect
941. #388C22×C137semidirect
942. #388C22×C137semidirect
943. #388C22×C137semidirect
944. #388C22×C137semidirect
945. #388C22×C137semidirect
946. #388C22×C137semidirect
947. #388C22×C137semidirect
948. #388C22×C137semidirect
949. #388C22×C137semidirect
950. #388C22×C137semidirect
951. #388C22×C137semidirect
952. #388C22×C137semidirect
953. #387C22×C137semidirect
954. #387C22×C137semidirect
955. #387C22×C137semidirect
956. #387C22×C137semidirect
957. #387C22×C137semidirect
958. #387C22×C137semidirect
959. #387C22×C137semidirect
960. #387C22×C137semidirect
961. #387C22×C137semidirect
962. #387C22×C137semidirect
977. #386C22×C137semidirect
978. #386C22×C137semidirect
979. #386C22×C137semidirect
980. #386C22×C137semidirect
981. #386C22×C137semidirect
982. #386C22×C137semidirect
983. #386C22×C137semidirect
984. #386C22×C137semidirect
993. #385C22×C137semidirect
994. #385C22×C137semidirect
995. #385C22×C137semidirect
996. #385C22×C137semidirect
997. #385C22×C137semidirect
998. #385C22×C137semidirect
999. #385C22×C137semidirect
1000. #385C22×C137semidirect
1001. #385C22×C137semidirect
1002. #385C22×C137semidirect
1003. #385C22×C137semidirect
1004. #385C22×C137semidirect
1005. #385C22×C137semidirect
1006. #385C22×C137semidirect
1007. #383C22×C137semidirect
1008. #382C22×C137semidirect
1009. #382C22×C137semidirect
1010. #381C22×C137semidirect
1011. #381C22×C137semidirect
1012. #381C22×C137semidirect
1014. #380C22×C137semidirect
1015. #380C22×C137semidirect
1016. #380C22×C137semidirect
1017. #380C22×C137semidirect
1018. #380C22×C137semidirect
1019. #380C22×C137semidirect
1020. #380C22×C137semidirect
1021. #380C22×C137semidirect
1024. C4×C4⋊C4C22×C137semidirect
1025. C4×C4⋊C4C22×C137semidirect
1026. C4×C4⋊C4C22×C137semidirect
1032. C4×C22⋊C4C22×C137semidirect
1033. C4×C22⋊C4C22×C137semidirect
1034. C4×C22⋊C4C22×C137semidirect
1035. C4×C22⋊C4C22×C137semidirect
1036. C4×C22⋊C4C22×C137semidirect
1037. C4×C22⋊C4C22×C137semidirect
1040. C2×#95C22×C137semidirect
1041. C2×#95C22×C137semidirect
1042. C2×#95C22×C137semidirect
1047. C2×#41C2×C4×C137semidirect
1051. C22×D4C2×C4×C137semidirect
1084. #124C2×C4×C137semidirect
1085. #123C2×C4×C137semidirect
1086. #123C2×C4×C137semidirect
1087. C22⋊Q8C2×C4×C137semidirect
1088. #121C2×C4×C137semidirect
1089. #121C2×C4×C137semidirect
1090. #121C2×C4×C137semidirect
1091. #120C2×C4×C137semidirect
1092. #120C2×C4×C137semidirect
1101. C4×D4C2×C4×C137semidirect
1102. C4×D4C2×C4×C137semidirect
1136. C2×C22⋊C4C2×C4×C137semidirect
1137. C2×C22⋊C4C2×C4×C137semidirect
1260. C2×Q8C22×C4×C137semidirect
1287. C2×D4C22×C4×C137semidirect
1288. C2×D4C22×C4×C137semidirect
1347. C22×C4C22×C4×C137semidirect
1348. C22×C4C22×C4×C137semidirect
1349. C22×C4C22×C4×C137semidirect
1395. C4⋊C4C22×C4×C137semidirect
1396. C4⋊C4C22×C4×C137semidirect
1397. C4⋊C4C22×C4×C137semidirect
1398. C4⋊C4C22×C4×C137semidirect
1440. C22⋊C4C22×C4×C137semidirect
1441. C22⋊C4C22×C4×C137semidirect
1442. C22⋊C4C22×C4×C137semidirect
1443. C22⋊C4C22×C4×C137semidirect
1444. C22⋊C4C22×C4×C137semidirect
1457. C42C22×C4×C137semidirect

Maximal subgroups

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

subgroupindex
C2×#546×C1372
#2379×C1372
#2377×C1372
#2376×C1372
#2368×C1372
#2361×C1372
#2359×C1372
#2358×C1372
#2352×C1372
#2349×C1372
#2342×C1372
#2339×C1372
D4×C22⋊C4×C1372
#2337×C1372
#2335×C1372
#2329×C1372
#2325×C1372
#2324×C1372
#2322×C1372
#2321×C1372
#2318×C1372
#2315×C1372
#2311×C1372
C4×#120×C1372
C2×#386×C1372
C2×#385×C1372
#34456137