Finite Group Databasebeta

← C137×#34998 #46884384

Subgroups — C137×#34998 #46884384

Order 35072.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2854×C137C211yesmaximal, characteristic, complemented
2#2853×C137C211yesmaximal, characteristic, complemented
3#2852×C137C211yesmaximal, characteristic, complemented
4#2850×C137C211yesmaximal, characteristic, complemented
5#2653×C137C211yesmaximal, characteristic, complemented
6#2649×C137C211yesmaximal, characteristic, complemented
7#2648×C137C211yesmaximal, characteristic, complemented
8#2648×C137C211yesmaximal, characteristic, complemented
9#2518×C137C211yesmaximal, characteristic, complemented
10#2518×C137C211yesmaximal, characteristic, complemented
11#2510×C137C211yesmaximal, characteristic, complemented
12#2510×C137C211yesmaximal, characteristic, complemented
13#2505×C137C211yesmaximal, characteristic, complemented
14#2488×C137C211yesmaximal, characteristic, complemented
15#2480×C137C211yesmaximal, characteristic, complemented
16#2472×C137C211yesmaximal, characteristic, complemented
17#2467×C137C211yesmaximal, characteristic, complemented
18#2459×C137C211yesmaximal, characteristic, complemented
19#2444×C137C211yesmaximal, characteristic, complemented
20#2437×C137C211yesmaximal, characteristic, complemented
21#2425×C137C211yesmaximal, characteristic, complemented
22#2412×C137C211yesmaximal, characteristic, complemented
23#2410×C137C211yesmaximal, characteristic
24#2405×C137C211yesmaximal, characteristic, complemented
25#2329×C137C211yesmaximal, characteristic, complemented
26#2321×C137C211yesmaximal, characteristic, complemented
27#2318×C137C211yesmaximal, characteristic, complemented
28#2312×C137C211yesmaximal, characteristic, complemented
29C4×#120×C137C211yesmaximal, characteristic, complemented
30C2×#386×C137C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C137C211yesmaximal, characteristic, complemented
32C23×D4×C137C2211yescharacteristic
33C24×C4×C137C2211yescharacteristic
34C2×#126×C137C2211yescharacteristic, complemented
35C2×#124×C137C2211yescharacteristic, complemented
36C2×#123×C137C2211yescharacteristic
37C2×#123×C137C2211yescharacteristic
38C2×#123×C137C2211yescharacteristic, complemented
39C2×C22⋊Q8×C137C2211yescharacteristic
40C2×C22⋊Q8×C137C2211yescharacteristic, complemented
41C2×#121×C137C2211yescharacteristic
42C2×#121×C137C2211yescharacteristic
43C2×#120×C137C2211yescharacteristic
44C2×#120×C137C2211yescharacteristic
45C2×C4×D4×C137C2211yescharacteristic
46C2×C4×D4×C137C2211yescharacteristic, complemented
47C2×C4×D4×C137C2211yescharacteristic, complemented
48C22×C22⋊C4×C137C2211yescharacteristic
49C22×C22⋊C4×C137C2211yescharacteristic
50C22×C22⋊C4×C137C2211yescharacteristic
51C22×C22⋊C4×C137C2211yescharacteristic
52C22×C22⋊C4×C137C2211yescharacteristic
53C22×C42×C137C2211yescharacteristic, complemented
54C22×C42×C137C2211yescharacteristic, complemented
55#401×C137C2211yescharacteristic, complemented
56#400×C137C2211yescharacteristic, complemented
57#400×C137C2211yescharacteristic, complemented
58#400×C137C2211yescharacteristic, complemented
59#400×C137C2211yescharacteristic, complemented
60#399×C137C2211yescharacteristic, complemented
61#398×C137C2211yescharacteristic, complemented
62#397×C137C2211yescharacteristic, complemented
63#397×C137C2211yescharacteristic, complemented
64#397×C137C2211yescharacteristic, complemented
65#397×C137C2211yescharacteristic, complemented
66#397×C137C2211yescharacteristic, complemented
67#397×C137C2211yescharacteristic, complemented
68#397×C137C2211yescharacteristic, complemented
69#397×C137C2211yescharacteristic, complemented
70#396×C137C2211yescharacteristic, complemented
71#396×C137C2211yescharacteristic, complemented
72#396×C137C2211yescharacteristic, complemented
73#394×C137C2211yescharacteristic
74#394×C137C2211yescharacteristic
75#394×C137C2211yescharacteristic
76#394×C137C2211yescharacteristic
77#394×C137C2211yescharacteristic
78#394×C137C2211yescharacteristic
79#394×C137C2211yescharacteristic, complemented
80#394×C137C2211yescharacteristic, complemented
81#394×C137C2211yescharacteristic, complemented
82#394×C137C2211yescharacteristic, complemented
83#393×C137C2211yescharacteristic, complemented
84#393×C137C2211yescharacteristic, complemented
85#392×C137C2211yescharacteristic
86#392×C137C2211yescharacteristic
87#391×C137C2211yescharacteristic, complemented
88#391×C137C2211yescharacteristic, complemented
89#390×C137C2211yescharacteristic, complemented
90#390×C137C2211yescharacteristic, complemented
91#390×C137C2211yescharacteristic, complemented
92#389×C137C2211yescharacteristic, complemented
93#389×C137C2211yescharacteristic, complemented
94#389×C137C2211yescharacteristic, complemented
95#388×C137C2211yescharacteristic, complemented
96#388×C137C2211yescharacteristic, complemented
97#388×C137C2211yescharacteristic, complemented
98#388×C137C2211yescharacteristic, complemented
99#388×C137C2211yescharacteristic, complemented
100#388×C137C2211yescharacteristic, complemented
101#388×C137C2211yescharacteristic, complemented
102#388×C137C2211yescharacteristic, complemented
103#388×C137C2211yescharacteristic, complemented
104#388×C137C2211yescharacteristic, complemented
105#388×C137C2211yescharacteristic, complemented
106#388×C137C2211yescharacteristic, complemented
107#388×C137C2211yescharacteristic, complemented
108#388×C137C2211yescharacteristic, complemented
109#388×C137C2211yescharacteristic, complemented
110#388×C137C2211yescharacteristic, complemented
111#388×C137C2211yescharacteristic, complemented
112#388×C137C2211yescharacteristic, complemented
113#388×C137C2211yescharacteristic, complemented
114#388×C137C2211yescharacteristic, complemented
115#388×C137C2211yescharacteristic, complemented
116#387×C137C2211yescharacteristic, complemented
117#387×C137C2211yescharacteristic, complemented
118#387×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#386×C137C2211yescharacteristic
126#386×C137C2211yescharacteristic
127#386×C137C2211yescharacteristic
128#386×C137C2211yescharacteristic
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
138#386×C137C2211yescharacteristic
139#386×C137C2211yescharacteristic
140#386×C137C2211yescharacteristic
141#386×C137C2211yescharacteristic, complemented
142#386×C137C2211yescharacteristic, complemented
143#386×C137C2211yescharacteristic, complemented
144#386×C137C2211yescharacteristic, complemented
145#386×C137C2211yescharacteristic, complemented
146#385×C137C2211yescharacteristic
147#385×C137C2211yescharacteristic
148#385×C137C2211yescharacteristic
149#385×C137C2211yescharacteristic
150#385×C137C2211yescharacteristic
151#385×C137C2211yescharacteristic
152#385×C137C2211yescharacteristic, complemented
153#385×C137C2211yescharacteristic, complemented
154#385×C137C2211yescharacteristic, complemented
155#385×C137C2211yescharacteristic, complemented
156#385×C137C2211yescharacteristic, complemented
157#383×C137C2211yescharacteristic, complemented
158#383×C137C2211yescharacteristic, complemented
159#382×C137C2211yescharacteristic, complemented
160#382×C137C2211yescharacteristic, complemented
161#381×C137C2211yescharacteristic, complemented
162#381×C137C2211yescharacteristic, complemented
163#380×C137C2211yescharacteristic
164#380×C137C2211yescharacteristic
165#380×C137C2211yescharacteristic
166#380×C137C2211yescharacteristic, complemented
167#380×C137C2211yescharacteristic, complemented
168#379×C137C2211yescharacteristic
169#379×C137C2211yescharacteristic
170#379×C137C2211yescharacteristic
171#379×C137C2211yescharacteristic
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
187C25×C137C2311yescharacteristic
188C25×C137C2311yescharacteristic
189C22×Q8×C137C2311yescharacteristic
190C22×D4×C137—24no—
191C22×D4×C137—42no—
192C22×D4×C137—42no—
193C22×D4×C137C2311yescharacteristic
194C22×D4×C137C2311yescharacteristic
195C22×D4×C137C2311yescharacteristic
196C22×D4×C137C2311yescharacteristic
197C22×D4×C137C2311yescharacteristic
198C22×D4×C137C2311yescharacteristic
199C22×D4×C137C2311yescharacteristic
200C22×D4×C137C2311yescharacteristic
201C22×D4×C137C2311yescharacteristic
202C23×C4×C137—24no—
203C23×C4×C137—42no—
204C23×C4×C137—42no—
205C23×C4×C137C2311yescharacteristic
206C23×C4×C137C2311yescharacteristic
207C23×C4×C137C2311yescharacteristic
208C23×C4×C137C2311yescharacteristic
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
219#126×C137—42no—
220#124×C137—42no—
221#123×C137—42no—
222#123×C137—42no—
223#123×C137—42no—
224C22⋊Q8×C137—24no—
225C22⋊Q8×C137—42no—
226#121×C137—42no—
227#121×C137—42no—
228#120×C137—24no—
229#120×C137—24no—
230C4×D4×C137—24no—
231C4×D4×C137—42no—
232C4×D4×C137—42no—
233C2×C4⋊C4×C137C2311yescharacteristic
234C2×C4⋊C4×C137C2311yescharacteristic
235C2×C4⋊C4×C137C2311yescharacteristic
236C2×C4⋊C4×C137C2311yescharacteristic
237C2×C4⋊C4×C137C2311yescharacteristic
238C2×C4⋊C4×C137C2311yescharacteristic
239C2×C4⋊C4×C137C2311yescharacteristic
240C2×C4⋊C4×C137C2311yescharacteristic
241C2×C4⋊C4×C137C2311yescharacteristic
242C2×C4⋊C4×C137C2311yescharacteristic
243C2×C4⋊C4×C137C2311yescharacteristic
244C2×C4⋊C4×C137C2311yescharacteristic
245C2×C4⋊C4×C137C2311yescharacteristic
246C2×C4⋊C4×C137C2311yescharacteristic
247C2×C4⋊C4×C137C2311yescharacteristic
248C2×C4⋊C4×C137C2311yescharacteristic
249C2×C4⋊C4×C137C2311yescharacteristic
250C2×C4⋊C4×C137C2311yescharacteristic
251C2×C4⋊C4×C137C2311yescharacteristic
252C2×C4⋊C4×C137C2311yescharacteristic
253C2×C4⋊C4×C137C2311yescharacteristic
254C2×C4⋊C4×C137C2311yescharacteristic
255C2×C22⋊C4×C137—24no—
256C2×C22⋊C4×C137—24no—
257C2×C22⋊C4×C137—24no—
258C2×C22⋊C4×C137—42no—
259C2×C22⋊C4×C137—42no—
260C2×C22⋊C4×C137C2311yescharacteristic
261C2×C22⋊C4×C137C2311yescharacteristic
262C2×C22⋊C4×C137C2311yescharacteristic
263C2×C22⋊C4×C137C2311yescharacteristic
264C2×C22⋊C4×C137C2311yescharacteristic
265C2×C22⋊C4×C137C2311yescharacteristic
266C2×C22⋊C4×C137C2311yescharacteristic
267C2×C22⋊C4×C137C2311yescharacteristic
268C2×C22⋊C4×C137C2311yescharacteristic
269C2×C22⋊C4×C137C2311yescharacteristic
270C2×C22⋊C4×C137C2311yescharacteristic
271C2×C22⋊C4×C137C2311yescharacteristic
272C2×C22⋊C4×C137C2311yescharacteristic
273C2×C22⋊C4×C137C2311yescharacteristic
274C2×C22⋊C4×C137C2311yescharacteristic
275C2×C22⋊C4×C137C2311yescharacteristic
276C2×C22⋊C4×C137C2311yescharacteristic
277C2×C22⋊C4×C137C2311yescharacteristic
278C2×C22⋊C4×C137C2311yescharacteristic
279C2×C22⋊C4×C137C2311yescharacteristic
280C2×C22⋊C4×C137C2311yescharacteristic
281C2×C22⋊C4×C137C2311yescharacteristic
282C2×C22⋊C4×C137C2311yescharacteristic
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×C42×C137—42no—
313C2×C42×C137—42no—
314C2×C42×C137C2311yescharacteristic
315C2×C42×C137C2311yescharacteristic
316C2×C42×C137C2311yescharacteristic
317C2×C42×C137C2311yescharacteristic
318C2×C42×C137C2311yescharacteristic
319C2×C42×C137C2311yescharacteristic
320C2×C42×C137C2311yescharacteristic
321C2×C42×C137C2311yescharacteristic
322C2×C42×C137C2311yescharacteristic
323C2×C42×C137C2311yescharacteristic
324C2×C42×C137C2311yescharacteristic
325#95×C137C2311yescharacteristic
326#95×C137C2311yescharacteristic
327#95×C137C2311yescharacteristic
328#95×C137C2311yescharacteristic
329#95×C137C2311yescharacteristic
330#95×C137C2311yescharacteristic
331#95×C137C2311yescharacteristic
332#95×C137C2311yescharacteristic
333#95×C137C2311yescharacteristic
334#95×C137C2311yescharacteristic
335#95×C137C2311yescharacteristic
336#95×C137C2311yescharacteristic
337#95×C137C2311yescharacteristic
338#95×C137C2311yescharacteristic
339#95×C137C2311yescharacteristic
340#95×C137C2311yescharacteristic
341#95×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
369C24×C137—22no—
370C24×C137—22no—
371C24×C137—22no—
372C24×C137—22no—
373C24×C137—22no—
374C24×C137—22no—
375C24×C137—22no—
376C24×C137—41no—
377C24×C137—41no—
378C24×C137—41no—
379C24×C137—41no—
380C24×C137—41no—
381C24×C137—41no—
382C24×C137#4114yes—
383C24×C137C2411yescharacteristic
384C24×C137C2411yescharacteristic
385C24×C137C2411yescharacteristic
386C24×C137C2411yescharacteristic
387C24×C137C2411yescharacteristic
388C24×C137C2411yescharacteristic
389C2×Q8×C137—22no—
390C2×Q8×C137—41no—
391C2×Q8×C137—41no—
392C2×D4×C137—22no—
393C2×D4×C137—22no—
394C2×D4×C137—22no—
395C2×D4×C137—22no—
396C2×D4×C137—22no—
397C2×D4×C137—22no—
398C2×D4×C137—22no—
399C2×D4×C137—22no—
400C2×D4×C137—22no—
401C2×D4×C137—22no—
402C2×D4×C137—22no—
403C2×D4×C137—22no—
404C2×D4×C137—22no—
405C2×D4×C137—22no—
406C2×D4×C137—22no—
407C2×D4×C137—22no—
408C2×D4×C137—22no—
409C2×D4×C137—41no—
410C2×D4×C137—41no—
411C2×D4×C137—41no—
412C2×D4×C137—41no—
413C2×D4×C137—41no—
414C2×D4×C137—41no—
415C2×D4×C137—41no—
416C2×D4×C137—41no—
417C2×D4×C137—41no—
418C2×D4×C137—41no—
419C2×D4×C137—416no—
420C22×C4×C137—22no—
421C22×C4×C137—22no—
422C22×C4×C137—22no—
423C22×C4×C137—22no—
424C22×C4×C137—22no—
425C22×C4×C137—22no—
426C22×C4×C137—22no—
427C22×C4×C137—22no—
428C22×C4×C137—22no—
429C22×C4×C137—22no—
430C22×C4×C137—22no—
431C22×C4×C137—22no—
432C22×C4×C137—22no—
433C22×C4×C137—22no—
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—41no—
443C22×C4×C137—41no—
444C22×C4×C137—41no—
445C22×C4×C137—41no—
446C22×C4×C137—41no—
447C22×C4×C137—41no—
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—416no—
462C22×C4×C137#4114yes—
463C22×C4×C137C2411yescharacteristic
464C22×C4×C137C2411yescharacteristic
465C22×C4×C137C2411yescharacteristic
466C22×C4×C137C2411yescharacteristic
467C22×C4×C137C2411yescharacteristic
468C22×C4×C137C2411yescharacteristic
469C22×C4×C137C2411yescharacteristic
470C22×C4×C137C2411yescharacteristic
471C22×C4×C137C2411yescharacteristic
472C22×C4×C137C2411yescharacteristic
473C22×C4×C137C2411yescharacteristic
474C22×C4×C137C2411yescharacteristic
475C22×C4×C137C2411yescharacteristic
476C22×C4×C137C2411yescharacteristic
477C22×C4×C137C2411yescharacteristic
478C22×C4×C137C2411yescharacteristic
479C22×C4×C137C2411yescharacteristic
480C22×C4×C137C2411yescharacteristic
481C22×C4×C137C2411yescharacteristic
482C22×C4×C137C2411yescharacteristic
483C22×C4×C137C2411yescharacteristic
484C22×C4×C137C2411yescharacteristic
485C22×C4×C137C2411yescharacteristic
486C22×C4×C137C2411yescharacteristic
487C22×C4×C137C2411yescharacteristic
488C4⋊C4×C137—22no—
489C4⋊C4×C137—22no—
490C4⋊C4×C137—22no—
491C4⋊C4×C137—22no—
492C4⋊C4×C137—22no—
493C4⋊C4×C137—41no—
494C4⋊C4×C137—41no—
495C4⋊C4×C137—41no—
496C4⋊C4×C137—41no—
497C4⋊C4×C137—41no—
498C4⋊C4×C137—41no—
499C4⋊C4×C137—41no—
500C4⋊C4×C137—41no—
501C4⋊C4×C137—41no—
502C4⋊C4×C137—41no—
503C4⋊C4×C137—41no—
504C4⋊C4×C137—41no—
505C4⋊C4×C137—41no—
506C4⋊C4×C137—41no—
507C4⋊C4×C137—41no—
508C4⋊C4×C137—41no—
509C4⋊C4×C137—41no—
510C22⋊C4×C137—22no—
511C22⋊C4×C137—22no—
512C22⋊C4×C137—22no—
513C22⋊C4×C137—22no—
514C22⋊C4×C137—22no—
515C22⋊C4×C137—22no—
516C22⋊C4×C137—22no—
517C22⋊C4×C137—22no—
518C22⋊C4×C137—22no—
519C22⋊C4×C137—22no—
520C22⋊C4×C137—22no—
521C22⋊C4×C137—22no—
522C22⋊C4×C137—22no—
523C22⋊C4×C137—22no—
524C22⋊C4×C137—22no—
525C22⋊C4×C137—22no—
526C22⋊C4×C137—22no—
527C22⋊C4×C137—22no—
528C22⋊C4×C137—22no—
529C22⋊C4×C137—22no—
530C22⋊C4×C137—22no—
531C22⋊C4×C137—22no—
532C22⋊C4×C137—22no—
533C22⋊C4×C137—22no—
534C22⋊C4×C137—22no—
535C22⋊C4×C137—22no—
536C22⋊C4×C137—41no—
537C22⋊C4×C137—41no—
538C22⋊C4×C137—41no—
539C22⋊C4×C137—41no—
540C22⋊C4×C137—41no—
541C22⋊C4×C137—41no—
542C22⋊C4×C137—41no—
543C22⋊C4×C137—41no—
544C22⋊C4×C137—41no—
545C22⋊C4×C137—41no—
546C22⋊C4×C137—41no—
547C22⋊C4×C137—41no—
548C22⋊C4×C137—41no—
549C22⋊C4×C137—41no—
550C22⋊C4×C137—41no—
551C22⋊C4×C137—41no—
552C22⋊C4×C137—41no—
553C22⋊C4×C137—41no—
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#4114yes—
562C42×C137—22no—
563C42×C137—22no—
564C42×C137—22no—
565C42×C137—41no—
566C42×C137—41no—
567C42×C137—41no—
568C42×C137—41no—
569C42×C137—41no—
570C42×C137—41no—
571C42×C137—41no—
572C42×C137—41no—
573C23×C137—21no—
574C23×C137—21no—
575C23×C137—21no—
576C23×C137—21no—
577C23×C137—21no—
578C23×C137—21no—
579C23×C137—21no—
580C23×C137—21no—
581C23×C137—28no—
582C23×C137—28no—
583C23×C137—21no—
584C23×C137—21no—
585C23×C137—21no—
586C23×C137—21no—
587C23×C137—21no—
588C23×C137—21no—
589C23×C137—21no—
590C23×C137—21no—
591C23×C137—21no—
592C23×C137—21no—
593C23×C137—21no—
594C23×C137—21no—
595C23×C137—21no—
596C23×C137—21no—
597C23×C137—21no—
598C23×C137—21no—
599C23×C137—21no—
600C23×C137—21no—
601C23×C137—21no—
602C23×C137—21no—
603C23×C137—21no—
604C23×C137—21no—
605C23×C137—21no—
606C23×C137—21no—
607C23×C137—21no—
608C23×C137—21no—
609C23×C137—21no—
610C23×C137—44no—
611C23×C137—44no—
612C23×C137—44no—
613C23×C137—44no—
614C23×C137—44no—
615C23×C137—44no—
616C23×C137—44no—
617C23×C137—44no—
618C23×C137—82no—
619C23×C137—82no—
620C23×C137—82no—
621C23×C137—82no—
622C23×C137C2×#4112yes—
623C23×C137C2×#4112yes—
624C23×C137C2×#4112yes—
625C23×C137C2×#4112yes—
626C23×C137C2×#4112yes—
627C23×C137H(5,𝔽2)12yes—
628C23×C137H(5,𝔽2)12yes—
629C23×C137C2511yescharacteristic
630Q8×C137—82no—
631D4×C137—44no—
632D4×C137—44no—
633D4×C137—44no—
634D4×C137—44no—
635D4×C137—44no—
636D4×C137—44no—
637D4×C137—44no—
638D4×C137—82no—
639D4×C137—82no—
640C2×C4×C137—28no—
641C2×C4×C137—21no—
642C2×C4×C137—21no—
643C2×C4×C137—21no—
644C2×C4×C137—21no—
645C2×C4×C137—21no—
646C2×C4×C137—21no—
647C2×C4×C137—21no—
648C2×C4×C137—21no—
649C2×C4×C137—21no—
650C2×C4×C137—21no—
651C2×C4×C137—21no—
652C2×C4×C137—21no—
653C2×C4×C137—21no—
654C2×C4×C137—21no—
655C2×C4×C137—21no—
656C2×C4×C137—21no—
657C2×C4×C137—21no—
658C2×C4×C137—21no—
659C2×C4×C137—21no—
660C2×C4×C137—21no—
661C2×C4×C137—21no—
662C2×C4×C137—21no—
663C2×C4×C137—21no—
664C2×C4×C137—21no—
665C2×C4×C137—21no—
666C2×C4×C137—21no—
667C2×C4×C137—21no—
668C2×C4×C137—21no—
669C2×C4×C137—21no—
670C2×C4×C137—21no—
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—44no—
712C2×C4×C137—44no—
713C2×C4×C137—44no—
714C2×C4×C137—44no—
715C2×C4×C137—44no—
716C2×C4×C137—44no—
717C2×C4×C137—44no—
718C2×C4×C137—44no—
719C2×C4×C137—44no—
720C2×C4×C137—44no—
721C2×C4×C137—82no—
722C2×C4×C137—82no—
723C2×C4×C137—82no—
724C2×C4×C137C2×#4112yes—
725C2×C4×C137C2×#4112yes—
726C2×C4×C137C2×#4112yes—
727C2×C4×C137C2×#4112yes—
728C2×C4×C137H(5,𝔽2)12yes—
729C22×C137—22no—
730C22×C137—22no—
731C22×C137—22no—
732C22×C137—22no—
733C22×C137—22no—
734C22×C137—22no—
735C22×C137—22no—
736C22×C137—22no—
737C22×C137—22no—
738C22×C137—22no—
739C22×C137—22no—
740C22×C137—22no—
741C22×C137—22no—
742C22×C137—22no—
743C22×C137—22no—
744C22×C137—416no—
745C22×C137—41no—
746C22×C137—41no—
747C22×C137—41no—
748C22×C137—41no—
749C22×C137—41no—
750C22×C137—41no—
751C22×C137—41no—
752C22×C137—41no—
753C22×C137—41no—
754C22×C137—41no—
755C22×C137—41no—
756C22×C137—41no—
757C22×C137—41no—
758C22×C137—41no—
759C22×C137—41no—
760C22×C137—41no—
761C22×C137—41no—
762C22×C137—41no—
763C22×C137—41no—
764C22×C137—41no—
765C22×C137—41no—
766C22×C137—41no—
767C22×C137—41no—
768C22×C137—41no—
769C22×C137—41no—
770C22×C137—88no—
771C22×C137#52914yes—
772C22×C137#53814yes—
773C22×C137C22×#4111yescharacteristic
774C22×C137C22×#4111yescharacteristic
775C22×C137C22×#4111yescharacteristic
776C22×C137C2×H(5,𝔽2)11yescharacteristic
777C22×C137C2×H(5,𝔽2)11yescharacteristic
778C22×C137C2×H(5,𝔽2)11yescharacteristic
779C22×C137#58511yescharacteristic
780C4×C137—22no—
781C4×C137—22no—
782C4×C137—22no—
783C4×C137—22no—
784C4×C137—22no—
785C4×C137—41no—
786C4×C137—41no—
787C4×C137—41no—
788C4×C137—41no—
789C4×C137—41no—
790C4×C137—41no—
791C4×C137—41no—
792C4×C137—41no—
793C4×C137—41no—
794C4×C137—41no—
795C4×C137—41no—
796C4×C137—41no—
797C4×C137—41no—
798C4×C137—41no—
799C4×C137—41no—
800C4×C137—41no—
801C4×C137—41no—
802C4×C137—41no—
803C4×C137—41no—
804C4×C137—41no—
805C2×C137—24no—
806C2×C137—24no—
807C2×C137—42no—
808C2×C137—81no—
809C2×C137—81no—
810C2×C137—81no—
811C2×C137C2×#52911yescharacteristic
812C2×C137C2×#53811yescharacteristic
813C2×C137#345911yescharacteristic
814C2×C137#349011yescharacteristic
815C2×C137#349411yescharacteristic
816C2×C137#351311yescharacteristic
817C2×C137#351911yescharacteristic
818#34998C13711yesmaximal, characteristic, direct product factor, Sylow
819C137#3499811yescharacteristic, direct product factor, Sylow
820#2854C2×C13711yescharacteristic, complemented
821#2853C2×C13711yescharacteristic, complemented
822#2852C2×C13711yescharacteristic, complemented
823#2850C2×C13711yescharacteristic, complemented
824#2653C2×C13711yescharacteristic, complemented
825#2649C2×C13711yescharacteristic, complemented
826#2648C2×C13711yescharacteristic, complemented
827#2648C2×C13711yescharacteristic, complemented
828#2518C2×C13711yescharacteristic, complemented
829#2518C2×C13711yescharacteristic, complemented
830#2510C2×C13711yescharacteristic, complemented
831#2510C2×C13711yescharacteristic, complemented
832#2505C2×C13711yescharacteristic, complemented
833#2488C2×C13711yescharacteristic, complemented
834#2480C2×C13711yescharacteristic, complemented
835#2472C2×C13711yescharacteristic, complemented
836#2467C2×C13711yescharacteristic, complemented
837#2459C2×C13711yescharacteristic, complemented
838#2444C2×C13711yescharacteristic, complemented
839#2437C2×C13711yescharacteristic, complemented
840#2425C2×C13711yescharacteristic, complemented
841#2412C2×C13711yescharacteristic, complemented
842#2410C2×C13711yescharacteristic
843#2405C2×C13711yescharacteristic, complemented
844#2329C2×C13711yescharacteristic, complemented
845#2321C2×C13711yescharacteristic, complemented
846#2318C2×C13711yescharacteristic, complemented
847#2312C2×C13711yescharacteristic, complemented
848C4×#120C2×C13711yescharacteristic, complemented
849C2×#386C2×C13711yescharacteristic, complemented
850C2×C4×C22⋊C4C2×C13711yescharacteristic, complemented
851C23×D4C22×C13711yescharacteristic
852C24×C4C22×C13711yescharacteristic
853C2×#126C22×C13711yescharacteristic, complemented
854C2×#124C22×C13711yescharacteristic, complemented
855C2×#123C22×C13711yescharacteristic
856C2×#123C22×C13711yescharacteristic
857C2×#123C22×C13711yescharacteristic, complemented
858C2×C22⋊Q8C22×C13711yescharacteristic
859C2×C22⋊Q8C22×C13711yescharacteristic, complemented
860C2×#121C22×C13711yescharacteristic
861C2×#121C22×C13711yescharacteristic
862C2×#120C22×C13711yescharacteristic
863C2×#120C22×C13711yescharacteristic
864C2×C4×D4C22×C13711yescharacteristic
865C2×C4×D4C22×C13711yescharacteristic, complemented
866C2×C4×D4C22×C13711yescharacteristic, complemented
867C22×C22⋊C4C22×C13711yescharacteristic
868C22×C22⋊C4C22×C13711yescharacteristic
869C22×C22⋊C4C22×C13711yescharacteristic
870C22×C22⋊C4C22×C13711yescharacteristic
871C22×C22⋊C4C22×C13711yescharacteristic
872C22×C42C22×C13711yescharacteristic, complemented
873C22×C42C22×C13711yescharacteristic, complemented
874#401C22×C13711yescharacteristic, complemented
875#400C22×C13711yescharacteristic, complemented
876#400C22×C13711yescharacteristic, complemented
877#400C22×C13711yescharacteristic, complemented
878#400C22×C13711yescharacteristic, complemented
879#399C22×C13711yescharacteristic, complemented
880#398C22×C13711yescharacteristic, complemented
881#397C22×C13711yescharacteristic, complemented
882#397C22×C13711yescharacteristic, complemented
883#397C22×C13711yescharacteristic, complemented
884#397C22×C13711yescharacteristic, complemented
885#397C22×C13711yescharacteristic, complemented
886#397C22×C13711yescharacteristic, complemented
887#397C22×C13711yescharacteristic, complemented
888#397C22×C13711yescharacteristic, complemented
889#396C22×C13711yescharacteristic, complemented
890#396C22×C13711yescharacteristic, complemented
891#396C22×C13711yescharacteristic, complemented
892#394C22×C13711yescharacteristic
893#394C22×C13711yescharacteristic
894#394C22×C13711yescharacteristic
895#394C22×C13711yescharacteristic
896#394C22×C13711yescharacteristic
897#394C22×C13711yescharacteristic
898#394C22×C13711yescharacteristic, complemented
899#394C22×C13711yescharacteristic, complemented
900#394C22×C13711yescharacteristic, complemented
901#394C22×C13711yescharacteristic, complemented
902#393C22×C13711yescharacteristic, complemented
903#393C22×C13711yescharacteristic, complemented
904#392C22×C13711yescharacteristic
905#392C22×C13711yescharacteristic
906#391C22×C13711yescharacteristic, complemented
907#391C22×C13711yescharacteristic, complemented
908#390C22×C13711yescharacteristic, complemented
909#390C22×C13711yescharacteristic, complemented
910#390C22×C13711yescharacteristic, complemented
911#389C22×C13711yescharacteristic, complemented
912#389C22×C13711yescharacteristic, complemented
913#389C22×C13711yescharacteristic, complemented
914#388C22×C13711yescharacteristic, complemented
915#388C22×C13711yescharacteristic, complemented
916#388C22×C13711yescharacteristic, complemented
917#388C22×C13711yescharacteristic, complemented
918#388C22×C13711yescharacteristic, complemented
919#388C22×C13711yescharacteristic, complemented
920#388C22×C13711yescharacteristic, complemented
921#388C22×C13711yescharacteristic, complemented
922#388C22×C13711yescharacteristic, complemented
923#388C22×C13711yescharacteristic, complemented
924#388C22×C13711yescharacteristic, complemented
925#388C22×C13711yescharacteristic, complemented
926#388C22×C13711yescharacteristic, complemented
927#388C22×C13711yescharacteristic, complemented
928#388C22×C13711yescharacteristic, complemented
929#388C22×C13711yescharacteristic, complemented
930#388C22×C13711yescharacteristic, complemented
931#388C22×C13711yescharacteristic, complemented
932#388C22×C13711yescharacteristic, complemented
933#388C22×C13711yescharacteristic, complemented
934#388C22×C13711yescharacteristic, complemented
935#387C22×C13711yescharacteristic, complemented
936#387C22×C13711yescharacteristic, complemented
937#387C22×C13711yescharacteristic, complemented
938#387C22×C13711yescharacteristic, complemented
939#387C22×C13711yescharacteristic, complemented
940#387C22×C13711yescharacteristic, complemented
941#387C22×C13711yescharacteristic, complemented
942#387C22×C13711yescharacteristic, complemented
943#387C22×C13711yescharacteristic, complemented
944#386C22×C13711yescharacteristic
945#386C22×C13711yescharacteristic
946#386C22×C13711yescharacteristic
947#386C22×C13711yescharacteristic
948#386C22×C13711yescharacteristic
949#386C22×C13711yescharacteristic
950#386C22×C13711yescharacteristic
951#386C22×C13711yescharacteristic
952#386C22×C13711yescharacteristic
953#386C22×C13711yescharacteristic
954#386C22×C13711yescharacteristic
955#386C22×C13711yescharacteristic
956#386C22×C13711yescharacteristic
957#386C22×C13711yescharacteristic
958#386C22×C13711yescharacteristic
959#386C22×C13711yescharacteristic
960#386C22×C13711yescharacteristic, complemented
961#386C22×C13711yescharacteristic, complemented
962#386C22×C13711yescharacteristic, complemented
963#386C22×C13711yescharacteristic, complemented
964#386C22×C13711yescharacteristic, complemented
965#385C22×C13711yescharacteristic
966#385C22×C13711yescharacteristic
967#385C22×C13711yescharacteristic
968#385C22×C13711yescharacteristic
969#385C22×C13711yescharacteristic
970#385C22×C13711yescharacteristic
971#385C22×C13711yescharacteristic, complemented
972#385C22×C13711yescharacteristic, complemented
973#385C22×C13711yescharacteristic, complemented
974#385C22×C13711yescharacteristic, complemented
975#385C22×C13711yescharacteristic, complemented
976#383C22×C13711yescharacteristic, complemented
977#383C22×C13711yescharacteristic, complemented
978#382C22×C13711yescharacteristic, complemented
979#382C22×C13711yescharacteristic, complemented
980#381C22×C13711yescharacteristic, complemented
981#381C22×C13711yescharacteristic, complemented
982#380C22×C13711yescharacteristic
983#380C22×C13711yescharacteristic
984#380C22×C13711yescharacteristic
985#380C22×C13711yescharacteristic, complemented
986#380C22×C13711yescharacteristic, complemented
987#379C22×C13711yescharacteristic
988#379C22×C13711yescharacteristic
989#379C22×C13711yescharacteristic
990#379C22×C13711yescharacteristic
991C4×C22⋊C4C22×C13711yescharacteristic
992C4×C22⋊C4C22×C13711yescharacteristic
993C4×C22⋊C4C22×C13711yescharacteristic
994C4×C22⋊C4C22×C13711yescharacteristic
995C4×C22⋊C4C22×C13711yescharacteristic
996C4×C22⋊C4C22×C13711yescharacteristic, complemented
997C4×C22⋊C4C22×C13711yescharacteristic, complemented
998C4×C22⋊C4C22×C13711yescharacteristic, complemented
999C4×C22⋊C4C22×C13711yescharacteristic, complemented
1000C4×C22⋊C4C22×C13711yescharacteristic, complemented
1001C4×C22⋊C4C22×C13711yescharacteristic, complemented
1002C2×#95C22×C13711yescharacteristic
1003C2×#95C22×C13711yescharacteristic
1004C2×#95C22×C13711yescharacteristic, complemented
1005C2×#95C22×C13711yescharacteristic, complemented
1006C25C23×C13711yescharacteristic
1007C25C23×C13711yescharacteristic
1008C22×Q8C23×C13711yescharacteristic
1009C22×D4—24no—
1010C22×D4—42no—
1011C22×D4—42no—
1012C22×D4C23×C13711yescharacteristic
1013C22×D4C23×C13711yescharacteristic
1014C22×D4C23×C13711yescharacteristic
1015C22×D4C23×C13711yescharacteristic
1016C22×D4C23×C13711yescharacteristic
1017C22×D4C23×C13711yescharacteristic
1018C22×D4C23×C13711yescharacteristic
1019C22×D4C23×C13711yescharacteristic
1020C22×D4C23×C13711yescharacteristic
1021C23×C4—24no—
1022C23×C4—42no—
1023C23×C4—42no—
1024C23×C4C23×C13711yescharacteristic
1025C23×C4C23×C13711yescharacteristic
1026C23×C4C23×C13711yescharacteristic
1027C23×C4C23×C13711yescharacteristic
1028C23×C4C23×C13711yescharacteristic
1029C23×C4C23×C13711yescharacteristic
1030C23×C4C23×C13711yescharacteristic
1031C23×C4C23×C13711yescharacteristic
1032C23×C4C23×C13711yescharacteristic
1033C23×C4C23×C13711yescharacteristic
1034C23×C4C23×C13711yescharacteristic
1035C23×C4C23×C13711yescharacteristic
1036C23×C4C23×C13711yescharacteristic
1037C23×C4C23×C13711yescharacteristic
1038#126—42no—
1039#124—42no—
1040#123—42no—
1041#123—42no—
1042#123—42no—
1043C22⋊Q8—24no—
1044C22⋊Q8—42no—
1045#121—42no—
1046#121—42no—
1047#120—24no—
1048#120—24no—
1049C4×D4—24no—
1050C4×D4—42no—
1051C4×D4—42no—
1052C2×C4⋊C4C23×C13711yescharacteristic
1053C2×C4⋊C4C23×C13711yescharacteristic
1054C2×C4⋊C4C23×C13711yescharacteristic
1055C2×C4⋊C4C23×C13711yescharacteristic
1056C2×C4⋊C4C23×C13711yescharacteristic
1057C2×C4⋊C4C23×C13711yescharacteristic
1058C2×C4⋊C4C23×C13711yescharacteristic
1059C2×C4⋊C4C23×C13711yescharacteristic
1060C2×C4⋊C4C23×C13711yescharacteristic
1061C2×C4⋊C4C23×C13711yescharacteristic
1062C2×C4⋊C4C23×C13711yescharacteristic
1063C2×C4⋊C4C23×C13711yescharacteristic
1064C2×C4⋊C4C23×C13711yescharacteristic
1065C2×C4⋊C4C23×C13711yescharacteristic
1066C2×C4⋊C4C23×C13711yescharacteristic
1067C2×C4⋊C4C23×C13711yescharacteristic
1068C2×C4⋊C4C23×C13711yescharacteristic
1069C2×C4⋊C4C23×C13711yescharacteristic
1070C2×C4⋊C4C23×C13711yescharacteristic
1071C2×C4⋊C4C23×C13711yescharacteristic
1072C2×C4⋊C4C23×C13711yescharacteristic
1073C2×C4⋊C4C23×C13711yescharacteristic
1074C2×C22⋊C4—24no—
1075C2×C22⋊C4—24no—
1076C2×C22⋊C4—24no—
1077C2×C22⋊C4—42no—
1078C2×C22⋊C4—42no—
1079C2×C22⋊C4C23×C13711yescharacteristic
1080C2×C22⋊C4C23×C13711yescharacteristic
1081C2×C22⋊C4C23×C13711yescharacteristic
1082C2×C22⋊C4C23×C13711yescharacteristic
1083C2×C22⋊C4C23×C13711yescharacteristic
1084C2×C22⋊C4C23×C13711yescharacteristic
1085C2×C22⋊C4C23×C13711yescharacteristic
1086C2×C22⋊C4C23×C13711yescharacteristic
1087C2×C22⋊C4C23×C13711yescharacteristic
1088C2×C22⋊C4C23×C13711yescharacteristic
1089C2×C22⋊C4C23×C13711yescharacteristic
1090C2×C22⋊C4C23×C13711yescharacteristic
1091C2×C22⋊C4C23×C13711yescharacteristic
1092C2×C22⋊C4C23×C13711yescharacteristic
1093C2×C22⋊C4C23×C13711yescharacteristic
1094C2×C22⋊C4C23×C13711yescharacteristic
1095C2×C22⋊C4C23×C13711yescharacteristic
1096C2×C22⋊C4C23×C13711yescharacteristic
1097C2×C22⋊C4C23×C13711yescharacteristic
1098C2×C22⋊C4C23×C13711yescharacteristic
1099C2×C22⋊C4C23×C13711yescharacteristic
1100C2×C22⋊C4C23×C13711yescharacteristic
1101C2×C22⋊C4C23×C13711yescharacteristic
1102C2×C22⋊C4C23×C13711yescharacteristic
1103C2×C22⋊C4C23×C13711yescharacteristic
1104C2×C22⋊C4C23×C13711yescharacteristic
1105C2×C22⋊C4C23×C13711yescharacteristic
1106C2×C22⋊C4C23×C13711yescharacteristic
1107C2×C22⋊C4C23×C13711yescharacteristic
1108C2×C22⋊C4C23×C13711yescharacteristic
1109C2×C22⋊C4C23×C13711yescharacteristic
1110C2×C22⋊C4C23×C13711yescharacteristic
1111C2×C22⋊C4C23×C13711yescharacteristic
1112C2×C22⋊C4C23×C13711yescharacteristic
1113C2×C22⋊C4C23×C13711yescharacteristic
1114C2×C22⋊C4C23×C13711yescharacteristic
1115C2×C22⋊C4C23×C13711yescharacteristic
1116C2×C22⋊C4C23×C13711yescharacteristic
1117C2×C22⋊C4C23×C13711yescharacteristic
1118C2×C22⋊C4C23×C13711yescharacteristic
1119C2×C22⋊C4C23×C13711yescharacteristic
1120C2×C22⋊C4C23×C13711yescharacteristic
1121C2×C22⋊C4C23×C13711yescharacteristic
1122C2×C22⋊C4C23×C13711yescharacteristic
1123C2×C22⋊C4C23×C13711yescharacteristic
1124C2×C22⋊C4C23×C13711yescharacteristic
1125C2×C22⋊C4C23×C13711yescharacteristic
1126C2×C22⋊C4C23×C13711yescharacteristic
1127C2×C22⋊C4C23×C13711yescharacteristic
1128C2×C22⋊C4C23×C13711yescharacteristic
1129C2×C22⋊C4C23×C13711yescharacteristic
1130C2×C22⋊C4C23×C13711yescharacteristic
1131C2×C42—42no—
1132C2×C42—42no—
1133C2×C42C23×C13711yescharacteristic
1134C2×C42C23×C13711yescharacteristic
1135C2×C42C23×C13711yescharacteristic
1136C2×C42C23×C13711yescharacteristic
1137C2×C42C23×C13711yescharacteristic
1138C2×C42C23×C13711yescharacteristic
1139C2×C42C23×C13711yescharacteristic
1140C2×C42C23×C13711yescharacteristic
1141C2×C42C23×C13711yescharacteristic
1142C2×C42C23×C13711yescharacteristic
1143C2×C42C23×C13711yescharacteristic
1144#95C23×C13711yescharacteristic
1145#95C23×C13711yescharacteristic
1146#95C23×C13711yescharacteristic
1147#95C23×C13711yescharacteristic
1148#95C23×C13711yescharacteristic
1149#95C23×C13711yescharacteristic
1150#95C23×C13711yescharacteristic
1151#95C23×C13711yescharacteristic
1152#95C23×C13711yescharacteristic
1153#95C23×C13711yescharacteristic
1154#95C23×C13711yescharacteristic
1155#95C23×C13711yescharacteristic
1156#95C23×C13711yescharacteristic
1157#95C23×C13711yescharacteristic
1158#95C23×C13711yescharacteristic
1159#95C23×C13711yescharacteristic
1160#95C23×C13711yescharacteristic
1161#95C23×C13711yescharacteristic
1162#95C23×C13711yescharacteristic
1163#95C23×C13711yescharacteristic
1164#95C23×C13711yescharacteristic
1165#95C23×C13711yescharacteristic
1166#95C23×C13711yescharacteristic
1167#95C23×C13711yescharacteristic
1168#95C23×C13711yescharacteristic
1169#95C23×C13711yescharacteristic
1170#95C23×C13711yescharacteristic
1171#95C23×C13711yescharacteristic
1172#95C23×C13711yescharacteristic
1173#95C23×C13711yescharacteristic
1174#95C23×C13711yescharacteristic
1175#95C23×C13711yescharacteristic
1176#95C23×C13711yescharacteristic
1177#95C23×C13711yescharacteristic
1178#95C23×C13711yescharacteristic
1179#95C23×C13711yescharacteristic
1180#95C23×C13711yescharacteristic
1181#95C23×C13711yescharacteristic
1182#95C23×C13711yescharacteristic
1183#95C23×C13711yescharacteristic
1184#95C23×C13711yescharacteristic
1185#95C23×C13711yescharacteristic
1186#95C23×C13711yescharacteristic
1187#95C23×C13711yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24#41×C13714yes—
1202C24C24×C13711yescharacteristic
1203C24C24×C13711yescharacteristic
1204C24C24×C13711yescharacteristic
1205C24C24×C13711yescharacteristic
1206C24C24×C13711yescharacteristic
1207C24C24×C13711yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—41no—
1210C2×Q8—41no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—416no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—416no—
1281C22×C4#41×C13714yes—
1282C22×C4C24×C13711yescharacteristic
1283C22×C4C24×C13711yescharacteristic
1284C22×C4C24×C13711yescharacteristic
1285C22×C4C24×C13711yescharacteristic
1286C22×C4C24×C13711yescharacteristic
1287C22×C4C24×C13711yescharacteristic
1288C22×C4C24×C13711yescharacteristic
1289C22×C4C24×C13711yescharacteristic
1290C22×C4C24×C13711yescharacteristic
1291C22×C4C24×C13711yescharacteristic
1292C22×C4C24×C13711yescharacteristic
1293C22×C4C24×C13711yescharacteristic
1294C22×C4C24×C13711yescharacteristic
1295C22×C4C24×C13711yescharacteristic
1296C22×C4C24×C13711yescharacteristic
1297C22×C4C24×C13711yescharacteristic
1298C22×C4C24×C13711yescharacteristic
1299C22×C4C24×C13711yescharacteristic
1300C22×C4C24×C13711yescharacteristic
1301C22×C4C24×C13711yescharacteristic
1302C22×C4C24×C13711yescharacteristic
1303C22×C4C24×C13711yescharacteristic
1304C22×C4C24×C13711yescharacteristic
1305C22×C4C24×C13711yescharacteristic
1306C22×C4C24×C13711yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4#41×C13714yes—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—41no—
1385C42—41no—
1386C42—41no—
1387C42—41no—
1388C42—41no—
1389C42—41no—
1390C42—41no—
1391C42—41no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—28no—
1401C23—28no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—44no—
1434C23—44no—
1435C23—44no—
1436C23—44no—
1437C23—82no—
1438C23—82no—
1439C23—82no—
1440C23—82no—
1441C23C2×#41×C13712yes—
1442C23C2×#41×C13712yes—
1443C23C2×#41×C13712yes—
1444C23C2×#41×C13712yes—
1445C23C2×#41×C13712yes—
1446C23H(5,𝔽2)×C13712yes—
1447C23H(5,𝔽2)×C13712yes—
1448C23C25×C13711yescharacteristic
1449Q8—82no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—44no—
1455D4—44no—
1456D4—44no—
1457D4—82no—
1458D4—82no—
1459C2×C4—28no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—44no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—82no—
1541C2×C4—82no—
1542C2×C4—82no—
1543C2×C4C2×#41×C13712yes—
1544C2×C4C2×#41×C13712yes—
1545C2×C4C2×#41×C13712yes—
1546C2×C4C2×#41×C13712yes—
1547C2×C4H(5,𝔽2)×C13712yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—416no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—88no—
1590C22#529×C13714yes—
1591C22#538×C13714yes—
1592C22C22×#41×C13711yescharacteristic
1593C22C22×#41×C13711yescharacteristic
1594C22C22×#41×C13711yescharacteristic
1595C22C2×H(5,𝔽2)×C13711yescharacteristic
1596C22C2×H(5,𝔽2)×C13711yescharacteristic
1597C22C2×H(5,𝔽2)×C13711yescharacteristic
1598C22#585×C13711yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—22no—
1603C4—22no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C2—24no—
1625C2—24no—
1626C2—42no—
1627C2—81no—
1628C2—81no—
1629C2—81no—
1630C2C2×#529×C13711yescharacteristic
1631C2C2×#538×C13711yescharacteristic
1632C2#3459×C13711yescharacteristic
1633C2#3490×C13711yescharacteristic
1634C2#3494×C13711yescharacteristic
1635C2#3513×C13711yescharacteristic
1636C2#3519×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. #2854×C137C2semidirect
2. #2853×C137C2semidirect
3. #2852×C137C2semidirect
4. #2850×C137C2semidirect
5. #2653×C137C2semidirect
6. #2649×C137C2semidirect
7. #2648×C137C2semidirect
8. #2648×C137C2semidirect
9. #2518×C137C2semidirect
10. #2518×C137C2semidirect
11. #2510×C137C2semidirect
12. #2510×C137C2semidirect
13. #2505×C137C2semidirect
14. #2488×C137C2semidirect
15. #2480×C137C2semidirect
16. #2472×C137C2semidirect
17. #2467×C137C2semidirect
18. #2459×C137C2semidirect
19. #2444×C137C2semidirect
20. #2437×C137C2semidirect
21. #2425×C137C2semidirect
22. #2412×C137C2semidirect
24. #2405×C137C2semidirect
25. #2329×C137C2semidirect
26. #2321×C137C2semidirect
27. #2318×C137C2semidirect
28. #2312×C137C2semidirect
29. C4×#120×C137C2semidirect
30. C2×#386×C137C2semidirect
31. C2×C4×C22⋊C4×C137C2semidirect
34. C2×#126×C137C22semidirect
35. C2×#124×C137C22semidirect
38. C2×#123×C137C22semidirect
40. C2×C22⋊Q8×C137C22semidirect
46. C2×C4×D4×C137C22semidirect
47. C2×C4×D4×C137C22semidirect
53. C22×C42×C137C22semidirect
54. C22×C42×C137C22semidirect
55. #401×C137C22semidirect
56. #400×C137C22semidirect
57. #400×C137C22semidirect
58. #400×C137C22semidirect
59. #400×C137C22semidirect
60. #399×C137C22semidirect
61. #398×C137C22semidirect
62. #397×C137C22semidirect
63. #397×C137C22semidirect
64. #397×C137C22semidirect
65. #397×C137C22semidirect
66. #397×C137C22semidirect
67. #397×C137C22semidirect
68. #397×C137C22semidirect
69. #397×C137C22semidirect
70. #396×C137C22semidirect
71. #396×C137C22semidirect
72. #396×C137C22semidirect
79. #394×C137C22semidirect
80. #394×C137C22semidirect
81. #394×C137C22semidirect
82. #394×C137C22semidirect
83. #393×C137C22semidirect
84. #393×C137C22semidirect
87. #391×C137C22semidirect
88. #391×C137C22semidirect
89. #390×C137C22semidirect
90. #390×C137C22semidirect
91. #390×C137C22semidirect
92. #389×C137C22semidirect
93. #389×C137C22semidirect
94. #389×C137C22semidirect
95. #388×C137C22semidirect
96. #388×C137C22semidirect
97. #388×C137C22semidirect
98. #388×C137C22semidirect
99. #388×C137C22semidirect
100. #388×C137C22semidirect
101. #388×C137C22semidirect
102. #388×C137C22semidirect
103. #388×C137C22semidirect
104. #388×C137C22semidirect
105. #388×C137C22semidirect
106. #388×C137C22semidirect
107. #388×C137C22semidirect
108. #388×C137C22semidirect
109. #388×C137C22semidirect
110. #388×C137C22semidirect
111. #388×C137C22semidirect
112. #388×C137C22semidirect
113. #388×C137C22semidirect
114. #388×C137C22semidirect
115. #388×C137C22semidirect
116. #387×C137C22semidirect
117. #387×C137C22semidirect
118. #387×C137C22semidirect
119. #387×C137C22semidirect
120. #387×C137C22semidirect
121. #387×C137C22semidirect
122. #387×C137C22semidirect
123. #387×C137C22semidirect
124. #387×C137C22semidirect
141. #386×C137C22semidirect
142. #386×C137C22semidirect
143. #386×C137C22semidirect
144. #386×C137C22semidirect
145. #386×C137C22semidirect
152. #385×C137C22semidirect
153. #385×C137C22semidirect
154. #385×C137C22semidirect
155. #385×C137C22semidirect
156. #385×C137C22semidirect
157. #383×C137C22semidirect
158. #383×C137C22semidirect
159. #382×C137C22semidirect
160. #382×C137C22semidirect
161. #381×C137C22semidirect
162. #381×C137C22semidirect
166. #380×C137C22semidirect
167. #380×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
818. #34998C137direct (N × H)
819. C137#34998direct (N × H)
820. #2854C2×C137semidirect
821. #2853C2×C137semidirect
822. #2852C2×C137semidirect
823. #2850C2×C137semidirect
824. #2653C2×C137semidirect
825. #2649C2×C137semidirect
826. #2648C2×C137semidirect
827. #2648C2×C137semidirect
828. #2518C2×C137semidirect
829. #2518C2×C137semidirect
830. #2510C2×C137semidirect
831. #2510C2×C137semidirect
832. #2505C2×C137semidirect
833. #2488C2×C137semidirect
834. #2480C2×C137semidirect
835. #2472C2×C137semidirect
836. #2467C2×C137semidirect
837. #2459C2×C137semidirect
838. #2444C2×C137semidirect
839. #2437C2×C137semidirect
840. #2425C2×C137semidirect
841. #2412C2×C137semidirect
843. #2405C2×C137semidirect
844. #2329C2×C137semidirect
845. #2321C2×C137semidirect
846. #2318C2×C137semidirect
847. #2312C2×C137semidirect
848. C4×#120C2×C137semidirect
849. C2×#386C2×C137semidirect
850. C2×C4×C22⋊C4C2×C137semidirect
853. C2×#126C22×C137semidirect
854. C2×#124C22×C137semidirect
857. C2×#123C22×C137semidirect
859. C2×C22⋊Q8C22×C137semidirect
865. C2×C4×D4C22×C137semidirect
866. C2×C4×D4C22×C137semidirect
872. C22×C42C22×C137semidirect
873. C22×C42C22×C137semidirect
874. #401C22×C137semidirect
875. #400C22×C137semidirect
876. #400C22×C137semidirect
877. #400C22×C137semidirect
878. #400C22×C137semidirect
879. #399C22×C137semidirect
880. #398C22×C137semidirect
881. #397C22×C137semidirect
882. #397C22×C137semidirect
883. #397C22×C137semidirect
884. #397C22×C137semidirect
885. #397C22×C137semidirect
886. #397C22×C137semidirect
887. #397C22×C137semidirect
888. #397C22×C137semidirect
889. #396C22×C137semidirect
890. #396C22×C137semidirect
891. #396C22×C137semidirect
898. #394C22×C137semidirect
899. #394C22×C137semidirect
900. #394C22×C137semidirect
901. #394C22×C137semidirect
902. #393C22×C137semidirect
903. #393C22×C137semidirect
906. #391C22×C137semidirect
907. #391C22×C137semidirect
908. #390C22×C137semidirect
909. #390C22×C137semidirect
910. #390C22×C137semidirect
911. #389C22×C137semidirect
912. #389C22×C137semidirect
913. #389C22×C137semidirect
914. #388C22×C137semidirect
915. #388C22×C137semidirect
916. #388C22×C137semidirect
917. #388C22×C137semidirect
918. #388C22×C137semidirect
919. #388C22×C137semidirect
920. #388C22×C137semidirect
921. #388C22×C137semidirect
922. #388C22×C137semidirect
923. #388C22×C137semidirect
924. #388C22×C137semidirect
925. #388C22×C137semidirect
926. #388C22×C137semidirect
927. #388C22×C137semidirect
928. #388C22×C137semidirect
929. #388C22×C137semidirect
930. #388C22×C137semidirect
931. #388C22×C137semidirect
932. #388C22×C137semidirect
933. #388C22×C137semidirect
934. #388C22×C137semidirect
935. #387C22×C137semidirect
936. #387C22×C137semidirect
937. #387C22×C137semidirect
938. #387C22×C137semidirect
939. #387C22×C137semidirect
940. #387C22×C137semidirect
941. #387C22×C137semidirect
942. #387C22×C137semidirect
943. #387C22×C137semidirect
960. #386C22×C137semidirect
961. #386C22×C137semidirect
962. #386C22×C137semidirect
963. #386C22×C137semidirect
964. #386C22×C137semidirect
971. #385C22×C137semidirect
972. #385C22×C137semidirect
973. #385C22×C137semidirect
974. #385C22×C137semidirect
975. #385C22×C137semidirect
976. #383C22×C137semidirect
977. #383C22×C137semidirect
978. #382C22×C137semidirect
979. #382C22×C137semidirect
980. #381C22×C137semidirect
981. #381C22×C137semidirect
985. #380C22×C137semidirect
986. #380C22×C137semidirect
996. C4×C22⋊C4C22×C137semidirect
997. C4×C22⋊C4C22×C137semidirect
998. C4×C22⋊C4C22×C137semidirect
999. C4×C22⋊C4C22×C137semidirect
1000. C4×C22⋊C4C22×C137semidirect
1001. C4×C22⋊C4C22×C137semidirect
1004. C2×#95C22×C137semidirect
1005. C2×#95C22×C137semidirect

Maximal subgroups

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

subgroupindex
#2854×C1372
#2853×C1372
#2852×C1372
#2850×C1372
#2653×C1372
#2649×C1372
#2648×C1372
#2518×C1372
#2510×C1372
#2505×C1372
#2488×C1372
#2480×C1372
#2472×C1372
#2467×C1372
#2459×C1372
#2444×C1372
#2437×C1372
#2425×C1372
#2412×C1372
#2410×C1372
#2405×C1372
#2329×C1372
#2321×C1372
#2318×C1372
#2312×C1372
C4×#120×C1372
C2×#386×C1372
C2×C4×C22⋊C4×C1372
#34998137