Finite Group Databasebeta

← C137×#34991 #46884377

Subgroups — C137×#34991 #46884377

Order 35072.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#539×C137C211yesmaximal, characteristic, complemented
2C22×C4×D4×C137C211yesmaximal, characteristic, complemented
3#2852×C137C211yesmaximal, characteristic, complemented
4#2851×C137C211yesmaximal, characteristic, complemented
5#2849×C137C211yesmaximal, characteristic, complemented
6#2848×C137C211yesmaximal, characteristic, complemented
7#2638×C137C211yesmaximal, characteristic, complemented
8#2636×C137C211yesmaximal, characteristic, complemented
9#2633×C137C211yesmaximal, characteristic, complemented
10#2630×C137C211yesmaximal, characteristic, complemented
11#2480×C137C211yesmaximal, characteristic, complemented
12#2473×C137C211yesmaximal, characteristic, complemented
13#2466×C137C211yesmaximal, characteristic, complemented
14#2463×C137C211yesmaximal, characteristic, complemented
15#2460×C137C211yesmaximal, characteristic, complemented
16#2455×C137C211yesmaximal, characteristic, complemented
17#2449×C137C211yesmaximal, characteristic, complemented
18#2449×C137C211yesmaximal, characteristic, complemented
19#2443×C137C211yesmaximal, characteristic, complemented
20#2437×C137C211yesmaximal, characteristic, complemented
21#2425×C137C211yesmaximal, characteristic, complemented
22#2419×C137C211yesmaximal, characteristic, complemented
23#2418×C137C211yesmaximal, characteristic, complemented
24#2412×C137C211yesmaximal, characteristic, complemented
25#2410×C137C211yesmaximal, characteristic
26#2405×C137C211yesmaximal, characteristic, complemented
27#2325×C137C211yesmaximal, characteristic, complemented
28#2322×C137C211yesmaximal, characteristic, complemented
29#2318×C137C211yesmaximal, characteristic, complemented
30C4×#120×C137C211yesmaximal, characteristic, complemented
31C2×#385×C137C211yesmaximal, characteristic, complemented
32C23×D4×C137C2211yescharacteristic
33C24×C4×C137C2211yescharacteristic
34C24×C4×C137C2211yescharacteristic
35#539×C137—28no—
36C2×#126×C137C2211yescharacteristic, complemented
37C2×#126×C137C2211yescharacteristic, complemented
38C2×#125×C137C2211yescharacteristic, complemented
39C2×#125×C137C2211yescharacteristic, complemented
40C2×#123×C137C2211yescharacteristic
41C2×#123×C137C2211yescharacteristic
42C2×#123×C137C2211yescharacteristic, complemented
43C2×#123×C137C2211yescharacteristic, complemented
44C2×#123×C137C2211yescharacteristic, complemented
45C2×#123×C137C2211yescharacteristic, complemented
46C2×C22⋊Q8×C137C2211yescharacteristic
47C2×C22⋊Q8×C137C2211yescharacteristic, complemented
48C2×C22⋊Q8×C137C2211yescharacteristic, complemented
49C2×C22⋊Q8×C137C2211yescharacteristic, complemented
50C2×C22⋊Q8×C137C2211yescharacteristic, complemented
51C2×#121×C137C2211yescharacteristic
52C2×#121×C137C2211yescharacteristic
53C2×#120×C137C2211yescharacteristic
54C2×#120×C137C2211yescharacteristic
55C2×C4×D4×C137—28no—
56C2×C4×D4×C137C2211yescharacteristic
57C2×C4×D4×C137C2211yescharacteristic
58C2×C4×D4×C137C2211yescharacteristic
59C2×C4×D4×C137C2211yescharacteristic
60C2×C4×D4×C137C2211yescharacteristic
61C2×C4×D4×C137C2211yescharacteristic
62C2×C4×D4×C137C2211yescharacteristic
63C2×C4×D4×C137C2211yescharacteristic
64C2×C4×D4×C137C2211yescharacteristic
65C2×C4×D4×C137C2211yescharacteristic, complemented
66C2×C4×D4×C137C2211yescharacteristic, complemented
67C22×C4⋊C4×C137C2211yescharacteristic
68C22×C4⋊C4×C137C2211yescharacteristic, complemented
69C22×C4⋊C4×C137C2211yescharacteristic, complemented
70C22×C22⋊C4×C137C2211yescharacteristic
71C22×C22⋊C4×C137C2211yescharacteristic
72C22×C22⋊C4×C137C2211yescharacteristic
73C22×C22⋊C4×C137C2211yescharacteristic
74C22×C42×C137C2211yescharacteristic
75#400×C137C2211yescharacteristic, complemented
76#399×C137C2211yescharacteristic, complemented
77#399×C137C2211yescharacteristic, complemented
78#399×C137C2211yescharacteristic, complemented
79#398×C137C2211yescharacteristic, complemented
80#398×C137C2211yescharacteristic, complemented
81#398×C137C2211yescharacteristic, complemented
82#398×C137C2211yescharacteristic, complemented
83#397×C137C2211yescharacteristic, complemented
84#397×C137C2211yescharacteristic, complemented
85#397×C137C2211yescharacteristic, complemented
86#397×C137C2211yescharacteristic, complemented
87#397×C137C2211yescharacteristic, complemented
88#397×C137C2211yescharacteristic, complemented
89#396×C137C2211yescharacteristic, complemented
90#396×C137C2211yescharacteristic, complemented
91#396×C137C2211yescharacteristic, complemented
92#396×C137C2211yescharacteristic, complemented
93#395×C137C2211yescharacteristic, complemented
94#394×C137C2211yescharacteristic
95#394×C137C2211yescharacteristic
96#394×C137C2211yescharacteristic
97#394×C137C2211yescharacteristic
98#394×C137C2211yescharacteristic
99#394×C137C2211yescharacteristic
100#394×C137C2211yescharacteristic, complemented
101#394×C137C2211yescharacteristic, complemented
102#394×C137C2211yescharacteristic, complemented
103#394×C137C2211yescharacteristic, complemented
104#393×C137C2211yescharacteristic, complemented
105#392×C137C2211yescharacteristic
106#392×C137C2211yescharacteristic
107#389×C137C2211yescharacteristic, complemented
108#389×C137C2211yescharacteristic, complemented
109#389×C137C2211yescharacteristic, complemented
110#389×C137C2211yescharacteristic, complemented
111#388×C137C2211yescharacteristic, complemented
112#388×C137C2211yescharacteristic, complemented
113#388×C137C2211yescharacteristic, complemented
114#388×C137C2211yescharacteristic, complemented
115#388×C137C2211yescharacteristic, complemented
116#388×C137C2211yescharacteristic, complemented
117#388×C137C2211yescharacteristic, complemented
118#388×C137C2211yescharacteristic, complemented
119#387×C137C2211yescharacteristic, complemented
120#387×C137C2211yescharacteristic, complemented
121#387×C137C2211yescharacteristic, complemented
122#387×C137C2211yescharacteristic, complemented
123#387×C137C2211yescharacteristic, complemented
124#387×C137C2211yescharacteristic, complemented
125#387×C137C2211yescharacteristic, complemented
126#387×C137C2211yescharacteristic, complemented
127#387×C137C2211yescharacteristic, complemented
128#387×C137C2211yescharacteristic, complemented
129#386×C137C2211yescharacteristic
130#386×C137C2211yescharacteristic
131#386×C137C2211yescharacteristic
132#386×C137C2211yescharacteristic
133#386×C137C2211yescharacteristic
134#386×C137C2211yescharacteristic
135#386×C137C2211yescharacteristic
136#386×C137C2211yescharacteristic
137#386×C137C2211yescharacteristic, complemented
138#386×C137C2211yescharacteristic, complemented
139#386×C137C2211yescharacteristic, complemented
140#386×C137C2211yescharacteristic, complemented
141#386×C137C2211yescharacteristic, complemented
142#386×C137C2211yescharacteristic, complemented
143#385×C137C2211yescharacteristic
144#385×C137C2211yescharacteristic
145#385×C137C2211yescharacteristic
146#385×C137C2211yescharacteristic
147#385×C137C2211yescharacteristic
148#385×C137C2211yescharacteristic
149#385×C137C2211yescharacteristic
150#385×C137C2211yescharacteristic
151#385×C137C2211yescharacteristic
152#385×C137C2211yescharacteristic
153#385×C137C2211yescharacteristic, complemented
154#385×C137C2211yescharacteristic, complemented
155#385×C137C2211yescharacteristic, complemented
156#385×C137C2211yescharacteristic, complemented
157#385×C137C2211yescharacteristic, complemented
158#385×C137C2211yescharacteristic, complemented
159#385×C137C2211yescharacteristic, complemented
160#385×C137C2211yescharacteristic, complemented
161#385×C137C2211yescharacteristic, complemented
162#385×C137C2211yescharacteristic, complemented
163#385×C137C2211yescharacteristic, complemented
164#385×C137C2211yescharacteristic, complemented
165#385×C137C2211yescharacteristic, complemented
166#385×C137C2211yescharacteristic, complemented
167#385×C137C2211yescharacteristic, complemented
168#385×C137C2211yescharacteristic, complemented
169#383×C137C2211yescharacteristic, complemented
170#382×C137C2211yescharacteristic, complemented
171#381×C137C2211yescharacteristic, complemented
172#381×C137C2211yescharacteristic, complemented
173#381×C137C2211yescharacteristic, complemented
174#380×C137C2211yescharacteristic
175#380×C137C2211yescharacteristic
176#380×C137C2211yescharacteristic
177#380×C137C2211yescharacteristic, complemented
178#380×C137C2211yescharacteristic, complemented
179#380×C137C2211yescharacteristic, complemented
180#379×C137C2211yescharacteristic
181#379×C137C2211yescharacteristic
182#379×C137C2211yescharacteristic
183#379×C137C2211yescharacteristic
184C4×C22⋊C4×C137C2211yescharacteristic
185C4×C22⋊C4×C137C2211yescharacteristic, complemented
186C4×C22⋊C4×C137C2211yescharacteristic, complemented
187C2×#95×C137C2211yescharacteristic, complemented
188C2×#95×C137C2211yescharacteristic, complemented
189C25×C137C2311yescharacteristic
190C25×C137C2311yescharacteristic
191C22×Q8×C137C2311yescharacteristic
192C22×D4×C137—24no—
193C22×D4×C137—24no—
194C22×D4×C137—24no—
195C22×D4×C137C2311yescharacteristic
196C22×D4×C137C2311yescharacteristic
197C22×D4×C137C2311yescharacteristic
198C22×D4×C137C2311yescharacteristic
199C22×D4×C137C2311yescharacteristic
200C22×D4×C137C2311yescharacteristic
201C22×D4×C137C2311yescharacteristic
202C22×D4×C137C2311yescharacteristic
203C22×D4×C137C2311yescharacteristic
204C23×C4×C137—24no—
205C23×C4×C137—24no—
206C23×C4×C137—42no—
207C23×C4×C137—42no—
208C23×C4×C137—42no—
209C23×C4×C137—42no—
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
228#126×C137—24no—
229#126×C137—24no—
230#125×C137—24no—
231#125×C137—24no—
232#123×C137—24no—
233#123×C137—24no—
234#123×C137—24no—
235#123×C137—24no—
236#123×C137—24no—
237#123×C137—42no—
238C22⋊Q8×C137—24no—
239C22⋊Q8×C137—24no—
240C22⋊Q8×C137—24no—
241C22⋊Q8×C137—42no—
242C22⋊Q8×C137—42no—
243#121×C137—24no—
244#121×C137—24no—
245#120×C137—24no—
246#120×C137—42no—
247C4×D4×C137—24no—
248C4×D4×C137—24no—
249C4×D4×C137—24no—
250C4×D4×C137—24no—
251C4×D4×C137—24no—
252C4×D4×C137—24no—
253C4×D4×C137—24no—
254C4×D4×C137—24no—
255C4×D4×C137—42no—
256C4×D4×C137—42no—
257C4×D4×C137D418yescomplemented
258C2×C4⋊C4×C137—24no—
259C2×C4⋊C4×C137—24no—
260C2×C4⋊C4×C137—42no—
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×C4⋊C4×C137C2311yescharacteristic
277C2×C4⋊C4×C137C2311yescharacteristic
278C2×C4⋊C4×C137C2311yescharacteristic
279C2×C4⋊C4×C137C2311yescharacteristic
280C2×C4⋊C4×C137C2311yescharacteristic
281C2×C4⋊C4×C137C2311yescharacteristic
282C2×C4⋊C4×C137C2311yescharacteristic
283C2×C4⋊C4×C137C2311yescharacteristic
284C2×C4⋊C4×C137C2311yescharacteristic
285C2×C4⋊C4×C137C2311yescharacteristic
286C2×C4⋊C4×C137C2311yescharacteristic
287C2×C4⋊C4×C137C2311yescharacteristic
288C2×C4⋊C4×C137C2311yescharacteristic
289C2×C4⋊C4×C137C2311yescharacteristic
290C2×C4⋊C4×C137C2311yescharacteristic
291C2×C4⋊C4×C137C2311yescharacteristic
292C2×C4⋊C4×C137C2311yescharacteristic
293C2×C4⋊C4×C137C2311yescharacteristic
294C2×C4⋊C4×C137C2311yescharacteristic
295C2×C22⋊C4×C137—24no—
296C2×C22⋊C4×C137—24no—
297C2×C22⋊C4×C137—24no—
298C2×C22⋊C4×C137—42no—
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×C22⋊C4×C137C2311yescharacteristic
330C2×C22⋊C4×C137C2311yescharacteristic
331C2×C22⋊C4×C137C2311yescharacteristic
332C2×C22⋊C4×C137C2311yescharacteristic
333C2×C22⋊C4×C137C2311yescharacteristic
334C2×C22⋊C4×C137C2311yescharacteristic
335C2×C22⋊C4×C137C2311yescharacteristic
336C2×C22⋊C4×C137C2311yescharacteristic
337C2×C22⋊C4×C137C2311yescharacteristic
338C2×C22⋊C4×C137C2311yescharacteristic
339C2×C22⋊C4×C137C2311yescharacteristic
340C2×C22⋊C4×C137C2311yescharacteristic
341C2×C22⋊C4×C137C2311yescharacteristic
342C2×C22⋊C4×C137C2311yescharacteristic
343C2×C22⋊C4×C137C2311yescharacteristic
344C2×C22⋊C4×C137C2311yescharacteristic
345C2×C22⋊C4×C137C2311yescharacteristic
346C2×C22⋊C4×C137C2311yescharacteristic
347C2×C42×C137—24no—
348C2×C42×C137C2311yescharacteristic
349C2×C42×C137C2311yescharacteristic
350C2×C42×C137C2311yescharacteristic
351C2×C42×C137C2311yescharacteristic
352C2×C42×C137C2311yescharacteristic
353C2×C42×C137C2311yescharacteristic
354C2×C42×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
382#95×C137C2311yescharacteristic
383#95×C137C2311yescharacteristic
384#95×C137C2311yescharacteristic
385#95×C137C2311yescharacteristic
386#95×C137C2311yescharacteristic
387#95×C137C2311yescharacteristic
388#95×C137C2311yescharacteristic
389#95×C137C2311yescharacteristic
390#95×C137C2311yescharacteristic
391C24×C137—22no—
392C24×C137—22no—
393C24×C137—22no—
394C24×C137—22no—
395C24×C137—22no—
396C24×C137—22no—
397C24×C137—22no—
398C24×C137—22no—
399C24×C137—22no—
400C24×C137—41no—
401C24×C137—41no—
402C24×C137—41no—
403C24×C137—41no—
404C24×C137#4114yes—
405C24×C137C2411yescharacteristic
406C24×C137C2411yescharacteristic
407C24×C137C2411yescharacteristic
408C24×C137C2411yescharacteristic
409C24×C137C2411yescharacteristic
410C24×C137C2411yescharacteristic
411C2×Q8×C137—22no—
412C2×Q8×C137—41no—
413C2×Q8×C137—41no—
414C2×D4×C137—232no—
415C2×D4×C137—22no—
416C2×D4×C137—22no—
417C2×D4×C137—22no—
418C2×D4×C137—22no—
419C2×D4×C137—22no—
420C2×D4×C137—22no—
421C2×D4×C137—22no—
422C2×D4×C137—22no—
423C2×D4×C137—22no—
424C2×D4×C137—22no—
425C2×D4×C137—22no—
426C2×D4×C137—22no—
427C2×D4×C137—22no—
428C2×D4×C137—22no—
429C2×D4×C137—22no—
430C2×D4×C137—22no—
431C2×D4×C137—22no—
432C2×D4×C137—22no—
433C2×D4×C137—22no—
434C2×D4×C137—41no—
435C2×D4×C137—41no—
436C2×D4×C137—41no—
437C2×D4×C137—41no—
438C2×D4×C137—41no—
439C2×D4×C137—41no—
440C2×D4×C137C2×D414yes—
441C2×D4×C137#4114yes—
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—22no—
449C22×C4×C137—22no—
450C22×C4×C137—22no—
451C22×C4×C137—22no—
452C22×C4×C137—22no—
453C22×C4×C137—22no—
454C22×C4×C137—22no—
455C22×C4×C137—22no—
456C22×C4×C137—22no—
457C22×C4×C137—22no—
458C22×C4×C137—22no—
459C22×C4×C137—22no—
460C22×C4×C137—22no—
461C22×C4×C137—22no—
462C22×C4×C137—22no—
463C22×C4×C137—22no—
464C22×C4×C137—22no—
465C22×C4×C137—22no—
466C22×C4×C137—22no—
467C22×C4×C137—22no—
468C22×C4×C137—22no—
469C22×C4×C137—22no—
470C22×C4×C137—22no—
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—41no—
489C22×C4×C137—41no—
490C22×C4×C137—41no—
491C22×C4×C137—41no—
492C22×C4×C137—41no—
493C22×C4×C137—41no—
494C22×C4×C137—416no—
495C22×C4×C137—416no—
496C22×C4×C137C2×D414yes—
497C22×C4×C137C2×D414yes—
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
520C22×C4×C137C2411yescharacteristic
521C22×C4×C137C2411yescharacteristic
522C22×C4×C137C2411yescharacteristic
523C4⋊C4×C137—22no—
524C4⋊C4×C137—22no—
525C4⋊C4×C137—22no—
526C4⋊C4×C137—22no—
527C4⋊C4×C137—22no—
528C4⋊C4×C137—22no—
529C4⋊C4×C137—22no—
530C4⋊C4×C137—22no—
531C4⋊C4×C137—22no—
532C4⋊C4×C137—22no—
533C4⋊C4×C137—22no—
534C4⋊C4×C137—22no—
535C4⋊C4×C137—22no—
536C4⋊C4×C137—22no—
537C4⋊C4×C137—22no—
538C4⋊C4×C137—22no—
539C4⋊C4×C137—22no—
540C4⋊C4×C137—22no—
541C4⋊C4×C137—22no—
542C4⋊C4×C137—22no—
543C4⋊C4×C137—22no—
544C4⋊C4×C137—22no—
545C4⋊C4×C137—41no—
546C4⋊C4×C137—41no—
547C4⋊C4×C137—41no—
548C4⋊C4×C137—41no—
549C4⋊C4×C137—41no—
550C4⋊C4×C137—41no—
551C4⋊C4×C137—41no—
552C4⋊C4×C137—41no—
553C4⋊C4×C137—41no—
554C4⋊C4×C137—41no—
555C4⋊C4×C137—41no—
556C4⋊C4×C137C2×D414yes—
557C22⋊C4×C137—22no—
558C22⋊C4×C137—22no—
559C22⋊C4×C137—22no—
560C22⋊C4×C137—22no—
561C22⋊C4×C137—22no—
562C22⋊C4×C137—22no—
563C22⋊C4×C137—22no—
564C22⋊C4×C137—22no—
565C22⋊C4×C137—22no—
566C22⋊C4×C137—22no—
567C22⋊C4×C137—22no—
568C22⋊C4×C137—22no—
569C22⋊C4×C137—22no—
570C22⋊C4×C137—22no—
571C22⋊C4×C137—22no—
572C22⋊C4×C137—22no—
573C22⋊C4×C137—22no—
574C22⋊C4×C137—22no—
575C22⋊C4×C137—22no—
576C22⋊C4×C137—22no—
577C22⋊C4×C137—22no—
578C22⋊C4×C137—22no—
579C22⋊C4×C137—22no—
580C22⋊C4×C137—22no—
581C22⋊C4×C137—22no—
582C22⋊C4×C137—22no—
583C22⋊C4×C137—22no—
584C22⋊C4×C137—22no—
585C22⋊C4×C137—22no—
586C22⋊C4×C137—22no—
587C22⋊C4×C137—22no—
588C22⋊C4×C137—41no—
589C22⋊C4×C137—41no—
590C22⋊C4×C137—41no—
591C22⋊C4×C137—41no—
592C22⋊C4×C137—41no—
593C22⋊C4×C137—41no—
594C22⋊C4×C137—41no—
595C22⋊C4×C137—41no—
596C22⋊C4×C137—41no—
597C22⋊C4×C137—41no—
598C22⋊C4×C137—41no—
599C22⋊C4×C137—41no—
600C22⋊C4×C137—41no—
601C22⋊C4×C137—41no—
602C22⋊C4×C137—41no—
603C22⋊C4×C137C2×D414yes—
604C22⋊C4×C137C2×D414yes—
605C42×C137—22no—
606C42×C137—22no—
607C42×C137—22no—
608C42×C137—22no—
609C42×C137—41no—
610C42×C137—41no—
611C42×C137C2×D414yes—
612C23×C137—21no—
613C23×C137—21no—
614C23×C137—21no—
615C23×C137—21no—
616C23×C137—21no—
617C23×C137—21no—
618C23×C137—21no—
619C23×C137—21no—
620C23×C137—28no—
621C23×C137—28no—
622C23×C137—28no—
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—21no—
638C23×C137—21no—
639C23×C137—21no—
640C23×C137—21no—
641C23×C137—21no—
642C23×C137—21no—
643C23×C137—21no—
644C23×C137—21no—
645C23×C137—21no—
646C23×C137—21no—
647C23×C137—21no—
648C23×C137—44no—
649C23×C137—44no—
650C23×C137—44no—
651C23×C137—44no—
652C23×C137—44no—
653C23×C137—44no—
654C23×C137—44no—
655C23×C137—44no—
656C23×C137—44no—
657C23×C137—44no—
658C23×C137—44no—
659C23×C137C22×D412yes—
660C23×C137C22×D412yes—
661C23×C137C2×#4112yes—
662C23×C137C2×#4112yes—
663C23×C137C2×#4112yes—
664C23×C137C2×#4112yes—
665C23×C137C2×#4112yes—
666C23×C137H(5,𝔽2)12yes—
667C23×C1372−1+412yes—
668C23×C137C2511yescharacteristic
669Q8×C137—82no—
670D4×C137—28no—
671D4×C137—28no—
672D4×C137—28no—
673D4×C137—28no—
674D4×C137—44no—
675D4×C137—44no—
676D4×C137—44no—
677D4×C137—82no—
678D4×C137—82no—
679C2×C4×C137—28no—
680C2×C4×C137—28no—
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—21no—
737C2×C4×C137—21no—
738C2×C4×C137—21no—
739C2×C4×C137—21no—
740C2×C4×C137—21no—
741C2×C4×C137—21no—
742C2×C4×C137—21no—
743C2×C4×C137—21no—
744C2×C4×C137—21no—
745C2×C4×C137—21no—
746C2×C4×C137—21no—
747C2×C4×C137—21no—
748C2×C4×C137—21no—
749C2×C4×C137—44no—
750C2×C4×C137—44no—
751C2×C4×C137—44no—
752C2×C4×C137—44no—
753C2×C4×C137—44no—
754C2×C4×C137—44no—
755C2×C4×C137—44no—
756C2×C4×C137—44no—
757C2×C4×C137—44no—
758C2×C4×C137—44no—
759C2×C4×C137—44no—
760C2×C4×C137—44no—
761C2×C4×C137—44no—
762C2×C4×C137—82no—
763C2×C4×C137—82no—
764C2×C4×C137—82no—
765C2×C4×C137C22×D412yes—
766C2×C4×C137C22×D412yes—
767C2×C4×C137C22×D412yes—
768C2×C4×C137C22×D412yes—
769C2×C4×C137C22×D412yes—
770C2×C4×C137C2×#4112yes—
771C2×C4×C137H(5,𝔽2)12yes—
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—22no—
790C22×C137—22no—
791C22×C137—22no—
792C22×C137—22no—
793C22×C137—416no—
794C22×C137—416no—
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—41no—
807C22×C137—41no—
808C22×C137—41no—
809C22×C137—41no—
810C22×C137—41no—
811C22×C137—41no—
812C22×C137—41no—
813C22×C137—41no—
814C22×C137#52514yes—
815C22×C137#53914yescomplemented
816C22×C137C23×D411yescharacteristic
817C22×C137C22×#4111yescharacteristic
818C22×C137C22×#4111yescharacteristic
819C22×C137C2×H(5,𝔽2)11yescharacteristic
820C22×C137C2×H(5,𝔽2)11yescharacteristic
821C22×C137C2×2−1+411yescharacteristic
822C22×C137#58511yescharacteristic
823C4×C137—22no—
824C4×C137—22no—
825C4×C137—22no—
826C4×C137—22no—
827C4×C137—22no—
828C4×C137—22no—
829C4×C137—22no—
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—
841C4×C137—41no—
842C4×C137—41no—
843C4×C137—41no—
844C4×C137—41no—
845C4×C137—41no—
846C4×C137—41no—
847C4×C137—41no—
848C2×C137—24no—
849C2×C137—24no—
850C2×C137—42no—
851C2×C137—42no—
852C2×C137—42no—
853C2×C137—81no—
854C2×C137C2×#52511yescharacteristic
855C2×C137C2×#53911yescharacteristic
856C2×C137#345911yescharacteristic
857C2×C137#348411yescharacteristic
858C2×C137#348911yescharacteristic
859C2×C137#351311yescharacteristic
860C2×C137#352011yescharacteristic
861#34991C13711yesmaximal, characteristic, direct product factor, Sylow
862C137#3499111yescharacteristic, direct product factor, Sylow
863C2×#539C2×C13711yescharacteristic, complemented
864C22×C4×D4C2×C13711yescharacteristic, complemented
865#2852C2×C13711yescharacteristic, complemented
866#2851C2×C13711yescharacteristic, complemented
867#2849C2×C13711yescharacteristic, complemented
868#2848C2×C13711yescharacteristic, complemented
869#2638C2×C13711yescharacteristic, complemented
870#2636C2×C13711yescharacteristic, complemented
871#2633C2×C13711yescharacteristic, complemented
872#2630C2×C13711yescharacteristic, complemented
873#2480C2×C13711yescharacteristic, complemented
874#2473C2×C13711yescharacteristic, complemented
875#2466C2×C13711yescharacteristic, complemented
876#2463C2×C13711yescharacteristic, complemented
877#2460C2×C13711yescharacteristic, complemented
878#2455C2×C13711yescharacteristic, complemented
879#2449C2×C13711yescharacteristic, complemented
880#2449C2×C13711yescharacteristic, complemented
881#2443C2×C13711yescharacteristic, complemented
882#2437C2×C13711yescharacteristic, complemented
883#2425C2×C13711yescharacteristic, complemented
884#2419C2×C13711yescharacteristic, complemented
885#2418C2×C13711yescharacteristic, complemented
886#2412C2×C13711yescharacteristic, complemented
887#2410C2×C13711yescharacteristic
888#2405C2×C13711yescharacteristic, complemented
889#2325C2×C13711yescharacteristic, complemented
890#2322C2×C13711yescharacteristic, complemented
891#2318C2×C13711yescharacteristic, complemented
892C4×#120C2×C13711yescharacteristic, complemented
893C2×#385C2×C13711yescharacteristic, complemented
894C23×D4C22×C13711yescharacteristic
895C24×C4C22×C13711yescharacteristic
896C24×C4C22×C13711yescharacteristic
897#539—28no—
898C2×#126C22×C13711yescharacteristic, complemented
899C2×#126C22×C13711yescharacteristic, complemented
900C2×#125C22×C13711yescharacteristic, complemented
901C2×#125C22×C13711yescharacteristic, complemented
902C2×#123C22×C13711yescharacteristic
903C2×#123C22×C13711yescharacteristic
904C2×#123C22×C13711yescharacteristic, complemented
905C2×#123C22×C13711yescharacteristic, complemented
906C2×#123C22×C13711yescharacteristic, complemented
907C2×#123C22×C13711yescharacteristic, complemented
908C2×C22⋊Q8C22×C13711yescharacteristic
909C2×C22⋊Q8C22×C13711yescharacteristic, complemented
910C2×C22⋊Q8C22×C13711yescharacteristic, complemented
911C2×C22⋊Q8C22×C13711yescharacteristic, complemented
912C2×C22⋊Q8C22×C13711yescharacteristic, complemented
913C2×#121C22×C13711yescharacteristic
914C2×#121C22×C13711yescharacteristic
915C2×#120C22×C13711yescharacteristic
916C2×#120C22×C13711yescharacteristic
917C2×C4×D4—28no—
918C2×C4×D4C22×C13711yescharacteristic
919C2×C4×D4C22×C13711yescharacteristic
920C2×C4×D4C22×C13711yescharacteristic
921C2×C4×D4C22×C13711yescharacteristic
922C2×C4×D4C22×C13711yescharacteristic
923C2×C4×D4C22×C13711yescharacteristic
924C2×C4×D4C22×C13711yescharacteristic
925C2×C4×D4C22×C13711yescharacteristic
926C2×C4×D4C22×C13711yescharacteristic
927C2×C4×D4C22×C13711yescharacteristic, complemented
928C2×C4×D4C22×C13711yescharacteristic, complemented
929C22×C4⋊C4C22×C13711yescharacteristic
930C22×C4⋊C4C22×C13711yescharacteristic, complemented
931C22×C4⋊C4C22×C13711yescharacteristic, complemented
932C22×C22⋊C4C22×C13711yescharacteristic
933C22×C22⋊C4C22×C13711yescharacteristic
934C22×C22⋊C4C22×C13711yescharacteristic
935C22×C22⋊C4C22×C13711yescharacteristic
936C22×C42C22×C13711yescharacteristic
937#400C22×C13711yescharacteristic, complemented
938#399C22×C13711yescharacteristic, complemented
939#399C22×C13711yescharacteristic, complemented
940#399C22×C13711yescharacteristic, complemented
941#398C22×C13711yescharacteristic, complemented
942#398C22×C13711yescharacteristic, complemented
943#398C22×C13711yescharacteristic, complemented
944#398C22×C13711yescharacteristic, complemented
945#397C22×C13711yescharacteristic, complemented
946#397C22×C13711yescharacteristic, complemented
947#397C22×C13711yescharacteristic, complemented
948#397C22×C13711yescharacteristic, complemented
949#397C22×C13711yescharacteristic, complemented
950#397C22×C13711yescharacteristic, complemented
951#396C22×C13711yescharacteristic, complemented
952#396C22×C13711yescharacteristic, complemented
953#396C22×C13711yescharacteristic, complemented
954#396C22×C13711yescharacteristic, complemented
955#395C22×C13711yescharacteristic, complemented
956#394C22×C13711yescharacteristic
957#394C22×C13711yescharacteristic
958#394C22×C13711yescharacteristic
959#394C22×C13711yescharacteristic
960#394C22×C13711yescharacteristic
961#394C22×C13711yescharacteristic
962#394C22×C13711yescharacteristic, complemented
963#394C22×C13711yescharacteristic, complemented
964#394C22×C13711yescharacteristic, complemented
965#394C22×C13711yescharacteristic, complemented
966#393C22×C13711yescharacteristic, complemented
967#392C22×C13711yescharacteristic
968#392C22×C13711yescharacteristic
969#389C22×C13711yescharacteristic, complemented
970#389C22×C13711yescharacteristic, complemented
971#389C22×C13711yescharacteristic, complemented
972#389C22×C13711yescharacteristic, complemented
973#388C22×C13711yescharacteristic, complemented
974#388C22×C13711yescharacteristic, complemented
975#388C22×C13711yescharacteristic, complemented
976#388C22×C13711yescharacteristic, complemented
977#388C22×C13711yescharacteristic, complemented
978#388C22×C13711yescharacteristic, complemented
979#388C22×C13711yescharacteristic, complemented
980#388C22×C13711yescharacteristic, complemented
981#387C22×C13711yescharacteristic, complemented
982#387C22×C13711yescharacteristic, complemented
983#387C22×C13711yescharacteristic, complemented
984#387C22×C13711yescharacteristic, complemented
985#387C22×C13711yescharacteristic, complemented
986#387C22×C13711yescharacteristic, complemented
987#387C22×C13711yescharacteristic, complemented
988#387C22×C13711yescharacteristic, complemented
989#387C22×C13711yescharacteristic, complemented
990#387C22×C13711yescharacteristic, complemented
991#386C22×C13711yescharacteristic
992#386C22×C13711yescharacteristic
993#386C22×C13711yescharacteristic
994#386C22×C13711yescharacteristic
995#386C22×C13711yescharacteristic
996#386C22×C13711yescharacteristic
997#386C22×C13711yescharacteristic
998#386C22×C13711yescharacteristic
999#386C22×C13711yescharacteristic, complemented
1000#386C22×C13711yescharacteristic, complemented
1001#386C22×C13711yescharacteristic, complemented
1002#386C22×C13711yescharacteristic, complemented
1003#386C22×C13711yescharacteristic, complemented
1004#386C22×C13711yescharacteristic, complemented
1005#385C22×C13711yescharacteristic
1006#385C22×C13711yescharacteristic
1007#385C22×C13711yescharacteristic
1008#385C22×C13711yescharacteristic
1009#385C22×C13711yescharacteristic
1010#385C22×C13711yescharacteristic
1011#385C22×C13711yescharacteristic
1012#385C22×C13711yescharacteristic
1013#385C22×C13711yescharacteristic
1014#385C22×C13711yescharacteristic
1015#385C22×C13711yescharacteristic, complemented
1016#385C22×C13711yescharacteristic, complemented
1017#385C22×C13711yescharacteristic, complemented
1018#385C22×C13711yescharacteristic, complemented
1019#385C22×C13711yescharacteristic, complemented
1020#385C22×C13711yescharacteristic, complemented
1021#385C22×C13711yescharacteristic, complemented
1022#385C22×C13711yescharacteristic, complemented
1023#385C22×C13711yescharacteristic, complemented
1024#385C22×C13711yescharacteristic, complemented
1025#385C22×C13711yescharacteristic, complemented
1026#385C22×C13711yescharacteristic, complemented
1027#385C22×C13711yescharacteristic, complemented
1028#385C22×C13711yescharacteristic, complemented
1029#385C22×C13711yescharacteristic, complemented
1030#385C22×C13711yescharacteristic, complemented
1031#383C22×C13711yescharacteristic, complemented
1032#382C22×C13711yescharacteristic, complemented
1033#381C22×C13711yescharacteristic, complemented
1034#381C22×C13711yescharacteristic, complemented
1035#381C22×C13711yescharacteristic, complemented
1036#380C22×C13711yescharacteristic
1037#380C22×C13711yescharacteristic
1038#380C22×C13711yescharacteristic
1039#380C22×C13711yescharacteristic, complemented
1040#380C22×C13711yescharacteristic, complemented
1041#380C22×C13711yescharacteristic, complemented
1042#379C22×C13711yescharacteristic
1043#379C22×C13711yescharacteristic
1044#379C22×C13711yescharacteristic
1045#379C22×C13711yescharacteristic
1046C4×C22⋊C4C22×C13711yescharacteristic
1047C4×C22⋊C4C22×C13711yescharacteristic, complemented
1048C4×C22⋊C4C22×C13711yescharacteristic, complemented
1049C2×#95C22×C13711yescharacteristic, complemented
1050C2×#95C22×C13711yescharacteristic, complemented
1051C25C23×C13711yescharacteristic
1052C25C23×C13711yescharacteristic
1053C22×Q8C23×C13711yescharacteristic
1054C22×D4—24no—
1055C22×D4—24no—
1056C22×D4—24no—
1057C22×D4C23×C13711yescharacteristic
1058C22×D4C23×C13711yescharacteristic
1059C22×D4C23×C13711yescharacteristic
1060C22×D4C23×C13711yescharacteristic
1061C22×D4C23×C13711yescharacteristic
1062C22×D4C23×C13711yescharacteristic
1063C22×D4C23×C13711yescharacteristic
1064C22×D4C23×C13711yescharacteristic
1065C22×D4C23×C13711yescharacteristic
1066C23×C4—24no—
1067C23×C4—24no—
1068C23×C4—42no—
1069C23×C4—42no—
1070C23×C4—42no—
1071C23×C4—42no—
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
1084C23×C4C23×C13711yescharacteristic
1085C23×C4C23×C13711yescharacteristic
1086C23×C4C23×C13711yescharacteristic
1087C23×C4C23×C13711yescharacteristic
1088C23×C4C23×C13711yescharacteristic
1089C23×C4C23×C13711yescharacteristic
1090#126—24no—
1091#126—24no—
1092#125—24no—
1093#125—24no—
1094#123—24no—
1095#123—24no—
1096#123—24no—
1097#123—24no—
1098#123—24no—
1099#123—42no—
1100C22⋊Q8—24no—
1101C22⋊Q8—24no—
1102C22⋊Q8—24no—
1103C22⋊Q8—42no—
1104C22⋊Q8—42no—
1105#121—24no—
1106#121—24no—
1107#120—24no—
1108#120—42no—
1109C4×D4—24no—
1110C4×D4—24no—
1111C4×D4—24no—
1112C4×D4—24no—
1113C4×D4—24no—
1114C4×D4—24no—
1115C4×D4—24no—
1116C4×D4—24no—
1117C4×D4—42no—
1118C4×D4—42no—
1119C4×D4D4×C13718yescomplemented
1120C2×C4⋊C4—24no—
1121C2×C4⋊C4—24no—
1122C2×C4⋊C4—42no—
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×C4⋊C4C23×C13711yescharacteristic
1132C2×C4⋊C4C23×C13711yescharacteristic
1133C2×C4⋊C4C23×C13711yescharacteristic
1134C2×C4⋊C4C23×C13711yescharacteristic
1135C2×C4⋊C4C23×C13711yescharacteristic
1136C2×C4⋊C4C23×C13711yescharacteristic
1137C2×C4⋊C4C23×C13711yescharacteristic
1138C2×C4⋊C4C23×C13711yescharacteristic
1139C2×C4⋊C4C23×C13711yescharacteristic
1140C2×C4⋊C4C23×C13711yescharacteristic
1141C2×C4⋊C4C23×C13711yescharacteristic
1142C2×C4⋊C4C23×C13711yescharacteristic
1143C2×C4⋊C4C23×C13711yescharacteristic
1144C2×C4⋊C4C23×C13711yescharacteristic
1145C2×C4⋊C4C23×C13711yescharacteristic
1146C2×C4⋊C4C23×C13711yescharacteristic
1147C2×C4⋊C4C23×C13711yescharacteristic
1148C2×C4⋊C4C23×C13711yescharacteristic
1149C2×C4⋊C4C23×C13711yescharacteristic
1150C2×C4⋊C4C23×C13711yescharacteristic
1151C2×C4⋊C4C23×C13711yescharacteristic
1152C2×C4⋊C4C23×C13711yescharacteristic
1153C2×C4⋊C4C23×C13711yescharacteristic
1154C2×C4⋊C4C23×C13711yescharacteristic
1155C2×C4⋊C4C23×C13711yescharacteristic
1156C2×C4⋊C4C23×C13711yescharacteristic
1157C2×C22⋊C4—24no—
1158C2×C22⋊C4—24no—
1159C2×C22⋊C4—24no—
1160C2×C22⋊C4—42no—
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×C22⋊C4C23×C13711yescharacteristic
1185C2×C22⋊C4C23×C13711yescharacteristic
1186C2×C22⋊C4C23×C13711yescharacteristic
1187C2×C22⋊C4C23×C13711yescharacteristic
1188C2×C22⋊C4C23×C13711yescharacteristic
1189C2×C22⋊C4C23×C13711yescharacteristic
1190C2×C22⋊C4C23×C13711yescharacteristic
1191C2×C22⋊C4C23×C13711yescharacteristic
1192C2×C22⋊C4C23×C13711yescharacteristic
1193C2×C22⋊C4C23×C13711yescharacteristic
1194C2×C22⋊C4C23×C13711yescharacteristic
1195C2×C22⋊C4C23×C13711yescharacteristic
1196C2×C22⋊C4C23×C13711yescharacteristic
1197C2×C22⋊C4C23×C13711yescharacteristic
1198C2×C22⋊C4C23×C13711yescharacteristic
1199C2×C22⋊C4C23×C13711yescharacteristic
1200C2×C22⋊C4C23×C13711yescharacteristic
1201C2×C22⋊C4C23×C13711yescharacteristic
1202C2×C22⋊C4C23×C13711yescharacteristic
1203C2×C22⋊C4C23×C13711yescharacteristic
1204C2×C22⋊C4C23×C13711yescharacteristic
1205C2×C22⋊C4C23×C13711yescharacteristic
1206C2×C22⋊C4C23×C13711yescharacteristic
1207C2×C22⋊C4C23×C13711yescharacteristic
1208C2×C22⋊C4C23×C13711yescharacteristic
1209C2×C42—24no—
1210C2×C42C23×C13711yescharacteristic
1211C2×C42C23×C13711yescharacteristic
1212C2×C42C23×C13711yescharacteristic
1213C2×C42C23×C13711yescharacteristic
1214C2×C42C23×C13711yescharacteristic
1215C2×C42C23×C13711yescharacteristic
1216C2×C42C23×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
1237#95C23×C13711yescharacteristic
1238#95C23×C13711yescharacteristic
1239#95C23×C13711yescharacteristic
1240#95C23×C13711yescharacteristic
1241#95C23×C13711yescharacteristic
1242#95C23×C13711yescharacteristic
1243#95C23×C13711yescharacteristic
1244#95C23×C13711yescharacteristic
1245#95C23×C13711yescharacteristic
1246#95C23×C13711yescharacteristic
1247#95C23×C13711yescharacteristic
1248#95C23×C13711yescharacteristic
1249#95C23×C13711yescharacteristic
1250#95C23×C13711yescharacteristic
1251#95C23×C13711yescharacteristic
1252#95C23×C13711yescharacteristic
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24#41×C13714yes—
1267C24C24×C13711yescharacteristic
1268C24C24×C13711yescharacteristic
1269C24C24×C13711yescharacteristic
1270C24C24×C13711yescharacteristic
1271C24C24×C13711yescharacteristic
1272C24C24×C13711yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×Q8—41no—
1276C2×D4—232no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4C2×D4×C13714yes—
1303C2×D4#41×C13714yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
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—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—416no—
1357C22×C4—416no—
1358C22×C4C2×D4×C13714yes—
1359C22×C4C2×D4×C13714yes—
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
1375C22×C4C24×C13711yescharacteristic
1376C22×C4C24×C13711yescharacteristic
1377C22×C4C24×C13711yescharacteristic
1378C22×C4C24×C13711yescharacteristic
1379C22×C4C24×C13711yescharacteristic
1380C22×C4C24×C13711yescharacteristic
1381C22×C4C24×C13711yescharacteristic
1382C22×C4C24×C13711yescharacteristic
1383C22×C4C24×C13711yescharacteristic
1384C22×C4C24×C13711yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4C2×D4×C13714yes—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4C2×D4×C13714yes—
1466C22⋊C4C2×D4×C13714yes—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—41no—
1472C42—41no—
1473C42C2×D4×C13714yes—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—28no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—44no—
1515C23—44no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23C22×D4×C13712yes—
1522C23C22×D4×C13712yes—
1523C23C2×#41×C13712yes—
1524C23C2×#41×C13712yes—
1525C23C2×#41×C13712yes—
1526C23C2×#41×C13712yes—
1527C23C2×#41×C13712yes—
1528C23H(5,𝔽2)×C13712yes—
1529C232−1+4×C13712yes—
1530C23C25×C13711yescharacteristic
1531Q8—82no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—44no—
1537D4—44no—
1538D4—44no—
1539D4—82no—
1540D4—82no—
1541C2×C4—28no—
1542C2×C4—28no—
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—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
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—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—82no—
1625C2×C4—82no—
1626C2×C4—82no—
1627C2×C4C22×D4×C13712yes—
1628C2×C4C22×D4×C13712yes—
1629C2×C4C22×D4×C13712yes—
1630C2×C4C22×D4×C13712yes—
1631C2×C4C22×D4×C13712yes—
1632C2×C4C2×#41×C13712yes—
1633C2×C4H(5,𝔽2)×C13712yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22#525×C13714yes—
1677C22#539×C13714yescomplemented
1678C22C23×D4×C13711yescharacteristic
1679C22C22×#41×C13711yescharacteristic
1680C22C22×#41×C13711yescharacteristic
1681C22C2×H(5,𝔽2)×C13711yescharacteristic
1682C22C2×H(5,𝔽2)×C13711yescharacteristic
1683C22C2×2−1+4×C13711yescharacteristic
1684C22#585×C13711yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—22no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—81no—
1716C2C2×#525×C13711yescharacteristic
1717C2C2×#539×C13711yescharacteristic
1718C2#3459×C13711yescharacteristic
1719C2#3484×C13711yescharacteristic
1720C2#3489×C13711yescharacteristic
1721C2#3513×C13711yescharacteristic
1722C2#3520×C13711yescharacteristic
subgroupG/H
center, socleC23×C137C25
commutator, Frattini, cosocleC23C25×C137
prime radical#2410×C137C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C137 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#539×C137C2semidirect
2. C22×C4×D4×C137C2semidirect
3. #2852×C137C2semidirect
4. #2851×C137C2semidirect
5. #2849×C137C2semidirect
6. #2848×C137C2semidirect
7. #2638×C137C2semidirect
8. #2636×C137C2semidirect
9. #2633×C137C2semidirect
10. #2630×C137C2semidirect
11. #2480×C137C2semidirect
12. #2473×C137C2semidirect
13. #2466×C137C2semidirect
14. #2463×C137C2semidirect
15. #2460×C137C2semidirect
16. #2455×C137C2semidirect
17. #2449×C137C2semidirect
18. #2449×C137C2semidirect
19. #2443×C137C2semidirect
20. #2437×C137C2semidirect
21. #2425×C137C2semidirect
22. #2419×C137C2semidirect
23. #2418×C137C2semidirect
24. #2412×C137C2semidirect
26. #2405×C137C2semidirect
27. #2325×C137C2semidirect
28. #2322×C137C2semidirect
29. #2318×C137C2semidirect
30. C4×#120×C137C2semidirect
31. C2×#385×C137C2semidirect
36. C2×#126×C137C22semidirect
37. C2×#126×C137C22semidirect
38. C2×#125×C137C22semidirect
39. C2×#125×C137C22semidirect
42. C2×#123×C137C22semidirect
43. C2×#123×C137C22semidirect
44. C2×#123×C137C22semidirect
45. C2×#123×C137C22semidirect
47. C2×C22⋊Q8×C137C22semidirect
48. C2×C22⋊Q8×C137C22semidirect
49. C2×C22⋊Q8×C137C22semidirect
50. C2×C22⋊Q8×C137C22semidirect
65. C2×C4×D4×C137C22semidirect
66. C2×C4×D4×C137C22semidirect
68. C22×C4⋊C4×C137C22semidirect
69. C22×C4⋊C4×C137C22semidirect
75. #400×C137C22semidirect
76. #399×C137C22semidirect
77. #399×C137C22semidirect
78. #399×C137C22semidirect
79. #398×C137C22semidirect
80. #398×C137C22semidirect
81. #398×C137C22semidirect
82. #398×C137C22semidirect
83. #397×C137C22semidirect
84. #397×C137C22semidirect
85. #397×C137C22semidirect
86. #397×C137C22semidirect
87. #397×C137C22semidirect
88. #397×C137C22semidirect
89. #396×C137C22semidirect
90. #396×C137C22semidirect
91. #396×C137C22semidirect
92. #396×C137C22semidirect
93. #395×C137C22semidirect
100. #394×C137C22semidirect
101. #394×C137C22semidirect
102. #394×C137C22semidirect
103. #394×C137C22semidirect
104. #393×C137C22semidirect
107. #389×C137C22semidirect
108. #389×C137C22semidirect
109. #389×C137C22semidirect
110. #389×C137C22semidirect
111. #388×C137C22semidirect
112. #388×C137C22semidirect
113. #388×C137C22semidirect
114. #388×C137C22semidirect
115. #388×C137C22semidirect
116. #388×C137C22semidirect
117. #388×C137C22semidirect
118. #388×C137C22semidirect
119. #387×C137C22semidirect
120. #387×C137C22semidirect
121. #387×C137C22semidirect
122. #387×C137C22semidirect
123. #387×C137C22semidirect
124. #387×C137C22semidirect
125. #387×C137C22semidirect
126. #387×C137C22semidirect
127. #387×C137C22semidirect
128. #387×C137C22semidirect
137. #386×C137C22semidirect
138. #386×C137C22semidirect
139. #386×C137C22semidirect
140. #386×C137C22semidirect
141. #386×C137C22semidirect
142. #386×C137C22semidirect
153. #385×C137C22semidirect
154. #385×C137C22semidirect
155. #385×C137C22semidirect
156. #385×C137C22semidirect
157. #385×C137C22semidirect
158. #385×C137C22semidirect
159. #385×C137C22semidirect
160. #385×C137C22semidirect
161. #385×C137C22semidirect
162. #385×C137C22semidirect
163. #385×C137C22semidirect
164. #385×C137C22semidirect
165. #385×C137C22semidirect
166. #385×C137C22semidirect
167. #385×C137C22semidirect
168. #385×C137C22semidirect
169. #383×C137C22semidirect
170. #382×C137C22semidirect
171. #381×C137C22semidirect
172. #381×C137C22semidirect
173. #381×C137C22semidirect
177. #380×C137C22semidirect
178. #380×C137C22semidirect
179. #380×C137C22semidirect
185. C4×C22⋊C4×C137C22semidirect
186. C4×C22⋊C4×C137C22semidirect
187. C2×#95×C137C22semidirect
188. C2×#95×C137C22semidirect
257. C4×D4×C137D4semidirect
815. C22×C137#539semidirect
861. #34991C137direct (N × H)
862. C137#34991direct (N × H)
863. C2×#539C2×C137semidirect
864. C22×C4×D4C2×C137semidirect
865. #2852C2×C137semidirect
866. #2851C2×C137semidirect
867. #2849C2×C137semidirect
868. #2848C2×C137semidirect
869. #2638C2×C137semidirect
870. #2636C2×C137semidirect
871. #2633C2×C137semidirect
872. #2630C2×C137semidirect
873. #2480C2×C137semidirect
874. #2473C2×C137semidirect
875. #2466C2×C137semidirect
876. #2463C2×C137semidirect
877. #2460C2×C137semidirect
878. #2455C2×C137semidirect
879. #2449C2×C137semidirect
880. #2449C2×C137semidirect
881. #2443C2×C137semidirect
882. #2437C2×C137semidirect
883. #2425C2×C137semidirect
884. #2419C2×C137semidirect
885. #2418C2×C137semidirect
886. #2412C2×C137semidirect
888. #2405C2×C137semidirect
889. #2325C2×C137semidirect
890. #2322C2×C137semidirect
891. #2318C2×C137semidirect
892. C4×#120C2×C137semidirect
893. C2×#385C2×C137semidirect
898. C2×#126C22×C137semidirect
899. C2×#126C22×C137semidirect
900. C2×#125C22×C137semidirect
901. C2×#125C22×C137semidirect
904. C2×#123C22×C137semidirect
905. C2×#123C22×C137semidirect
906. C2×#123C22×C137semidirect
907. C2×#123C22×C137semidirect
909. C2×C22⋊Q8C22×C137semidirect
910. C2×C22⋊Q8C22×C137semidirect
911. C2×C22⋊Q8C22×C137semidirect
912. C2×C22⋊Q8C22×C137semidirect
927. C2×C4×D4C22×C137semidirect
928. C2×C4×D4C22×C137semidirect
930. C22×C4⋊C4C22×C137semidirect
931. C22×C4⋊C4C22×C137semidirect
937. #400C22×C137semidirect
938. #399C22×C137semidirect
939. #399C22×C137semidirect
940. #399C22×C137semidirect
941. #398C22×C137semidirect
942. #398C22×C137semidirect
943. #398C22×C137semidirect
944. #398C22×C137semidirect
945. #397C22×C137semidirect
946. #397C22×C137semidirect
947. #397C22×C137semidirect
948. #397C22×C137semidirect
949. #397C22×C137semidirect
950. #397C22×C137semidirect
951. #396C22×C137semidirect
952. #396C22×C137semidirect
953. #396C22×C137semidirect
954. #396C22×C137semidirect
955. #395C22×C137semidirect
962. #394C22×C137semidirect
963. #394C22×C137semidirect
964. #394C22×C137semidirect
965. #394C22×C137semidirect
966. #393C22×C137semidirect
969. #389C22×C137semidirect
970. #389C22×C137semidirect
971. #389C22×C137semidirect
972. #389C22×C137semidirect
973. #388C22×C137semidirect
974. #388C22×C137semidirect
975. #388C22×C137semidirect
976. #388C22×C137semidirect
977. #388C22×C137semidirect
978. #388C22×C137semidirect
979. #388C22×C137semidirect
980. #388C22×C137semidirect
981. #387C22×C137semidirect
982. #387C22×C137semidirect
983. #387C22×C137semidirect
984. #387C22×C137semidirect
985. #387C22×C137semidirect
986. #387C22×C137semidirect
987. #387C22×C137semidirect
988. #387C22×C137semidirect
989. #387C22×C137semidirect
990. #387C22×C137semidirect
999. #386C22×C137semidirect
1000. #386C22×C137semidirect
1001. #386C22×C137semidirect
1002. #386C22×C137semidirect
1003. #386C22×C137semidirect
1004. #386C22×C137semidirect
1015. #385C22×C137semidirect
1016. #385C22×C137semidirect
1017. #385C22×C137semidirect
1018. #385C22×C137semidirect
1019. #385C22×C137semidirect
1020. #385C22×C137semidirect
1021. #385C22×C137semidirect
1022. #385C22×C137semidirect
1023. #385C22×C137semidirect
1024. #385C22×C137semidirect
1025. #385C22×C137semidirect
1026. #385C22×C137semidirect
1027. #385C22×C137semidirect
1028. #385C22×C137semidirect
1029. #385C22×C137semidirect
1030. #385C22×C137semidirect
1031. #383C22×C137semidirect
1032. #382C22×C137semidirect
1033. #381C22×C137semidirect
1034. #381C22×C137semidirect
1035. #381C22×C137semidirect
1039. #380C22×C137semidirect
1040. #380C22×C137semidirect
1041. #380C22×C137semidirect
1047. C4×C22⋊C4C22×C137semidirect
1048. C4×C22⋊C4C22×C137semidirect
1049. C2×#95C22×C137semidirect
1050. C2×#95C22×C137semidirect
1119. C4×D4D4×C137semidirect
1677. C22#539×C137semidirect

Maximal subgroups

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

subgroupindex
C2×#539×C1372
C22×C4×D4×C1372
#2852×C1372
#2851×C1372
#2849×C1372
#2848×C1372
#2638×C1372
#2636×C1372
#2633×C1372
#2630×C1372
#2480×C1372
#2473×C1372
#2466×C1372
#2463×C1372
#2460×C1372
#2455×C1372
#2449×C1372
#2443×C1372
#2437×C1372
#2425×C1372
#2419×C1372
#2418×C1372
#2412×C1372
#2410×C1372
#2405×C1372
#2325×C1372
#2322×C1372
#2318×C1372
C4×#120×C1372
C2×#385×C1372
#34991137