Finite Group Databasebeta

← C137×#36901 #46886287

Subgroups — C137×#36901 #46886287

Order 35072.

2064 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2848×C137C211yesmaximal, characteristic, complemented
2#2847×C137C211yesmaximal, characteristic, complemented
3#2787×C137C211yesmaximal, characteristic, complemented
4#2784×C137C211yesmaximal, characteristic, complemented
5#2778×C137C211yesmaximal, characteristic, complemented
6#2747×C137C211yesmaximal, characteristic, complemented
7#2732×C137C211yesmaximal, characteristic, complemented
8#2708×C137C211yesmaximal, characteristic, complemented
9#2696×C137C211yesmaximal, characteristic, complemented
10#2695×C137C211yesmaximal, characteristic, complemented
11#2692×C137C211yesmaximal, characteristic, complemented
12#2685×C137C211yesmaximal, characteristic, complemented
13#2684×C137C211yesmaximal, characteristic, complemented
14#2681×C137C211yesmaximal, characteristic, complemented
15#2678×C137C211yesmaximal, characteristic, complemented
16#2676×C137C211yesmaximal, characteristic, complemented
17#2671×C137C211yesmaximal, characteristic, complemented
18#2668×C137C211yesmaximal, characteristic, complemented
19#2653×C137C211yesmaximal, characteristic, complemented
20#2649×C137C211yesmaximal, characteristic, complemented
21#2522×C137C211yesmaximal, characteristic, complemented
22#2521×C137C211yesmaximal, characteristic, complemented
23#2477×C137C211yesmaximal, characteristic, complemented
24#2476×C137C211yesmaximal, characteristic, complemented
25#2463×C137C211yesmaximal, characteristic, complemented
26#2456×C137C211yesmaximal, characteristic, complemented
27#2450×C137C211yesmaximal, characteristic, complemented
28#2425×C137C211yesmaximal, characteristic, complemented
29#2325×C137C211yesmaximal, characteristic, complemented
30#2324×C137C211yesmaximal, characteristic, complemented
31C4×#120×C137C211yesmaximal, characteristic, complemented
32C24×C4×C137C2211yescharacteristic
33C2×#126×C137C2211yescharacteristic
34C2×#124×C137C2211yescharacteristic
35C2×#123×C137C2211yescharacteristic
36C2×#123×C137C2211yescharacteristic, complemented
37C2×#123×C137C2211yescharacteristic, complemented
38C2×C22⋊Q8×C137C2211yescharacteristic
39C2×C22⋊Q8×C137C2211yescharacteristic
40C2×C22⋊Q8×C137C2211yescharacteristic
41C2×C22⋊Q8×C137C2211yescharacteristic, complemented
42C2×C22⋊Q8×C137C2211yescharacteristic, complemented
43C2×#121×C137C2211yescharacteristic
44C2×#121×C137C2211yescharacteristic
45C2×#121×C137C2211yescharacteristic
46C2×#121×C137C2211yescharacteristic
47C2×#121×C137C2211yescharacteristic
48C2×#121×C137C2211yescharacteristic
49C2×#120×C137C2211yescharacteristic
50C2×#120×C137C2211yescharacteristic
51C2×#120×C137C2211yescharacteristic
52C2×C4×D4×C137C2211yescharacteristic
53C2×C4×D4×C137C2211yescharacteristic
54C2×C4×D4×C137C2211yescharacteristic
55C2×C4×D4×C137C2211yescharacteristic, complemented
56C2×#117×C137C2211yescharacteristic, complemented
57#401×C137C2211yescharacteristic, complemented
58#400×C137C2211yescharacteristic, complemented
59#400×C137C2211yescharacteristic, complemented
60#400×C137C2211yescharacteristic, complemented
61#400×C137C2211yescharacteristic, complemented
62#399×C137C2211yescharacteristic
63#399×C137C2211yescharacteristic
64#399×C137C2211yescharacteristic, complemented
65#398×C137C2211yescharacteristic, complemented
66#398×C137C2211yescharacteristic, complemented
67#398×C137C2211yescharacteristic, complemented
68#398×C137C2211yescharacteristic, complemented
69#398×C137C2211yescharacteristic, complemented
70#398×C137C2211yescharacteristic, complemented
71#397×C137C2211yescharacteristic
72#397×C137C2211yescharacteristic
73#397×C137C2211yescharacteristic
74#397×C137C2211yescharacteristic
75#397×C137C2211yescharacteristic
76#397×C137C2211yescharacteristic, complemented
77#397×C137C2211yescharacteristic, complemented
78#396×C137C2211yescharacteristic
79#396×C137C2211yescharacteristic
80#396×C137C2211yescharacteristic, complemented
81#396×C137C2211yescharacteristic, complemented
82#396×C137C2211yescharacteristic, complemented
83#395×C137C2211yescharacteristic, complemented
84#394×C137C2211yescharacteristic
85#394×C137C2211yescharacteristic
86#394×C137C2211yescharacteristic
87#394×C137C2211yescharacteristic
88#394×C137C2211yescharacteristic
89#394×C137C2211yescharacteristic
90#394×C137C2211yescharacteristic
91#394×C137C2211yescharacteristic
92#394×C137C2211yescharacteristic
93#394×C137C2211yescharacteristic
94#394×C137C2211yescharacteristic, complemented
95#394×C137C2211yescharacteristic, complemented
96#393×C137C2211yescharacteristic
97#393×C137C2211yescharacteristic
98#393×C137C2211yescharacteristic, complemented
99#393×C137C2211yescharacteristic, complemented
100#393×C137C2211yescharacteristic, complemented
101#392×C137C2211yescharacteristic
102#392×C137C2211yescharacteristic
103#392×C137C2211yescharacteristic
104#392×C137C2211yescharacteristic, complemented
105#391×C137C2211yescharacteristic, complemented
106#391×C137C2211yescharacteristic, complemented
107#390×C137C2211yescharacteristic
108#390×C137C2211yescharacteristic
109#390×C137C2211yescharacteristic
110#390×C137C2211yescharacteristic
111#390×C137C2211yescharacteristic, complemented
112#389×C137C2211yescharacteristic, complemented
113#389×C137C2211yescharacteristic, complemented
114#389×C137C2211yescharacteristic, complemented
115#388×C137C2211yescharacteristic
116#388×C137C2211yescharacteristic
117#388×C137C2211yescharacteristic
118#388×C137C2211yescharacteristic
119#388×C137C2211yescharacteristic
120#388×C137C2211yescharacteristic
121#388×C137C2211yescharacteristic, complemented
122#388×C137C2211yescharacteristic, complemented
123#388×C137C2211yescharacteristic, complemented
124#388×C137C2211yescharacteristic, complemented
125#388×C137C2211yescharacteristic, complemented
126#388×C137C2211yescharacteristic, complemented
127#388×C137C2211yescharacteristic, complemented
128#387×C137C2211yescharacteristic, complemented
129#387×C137C2211yescharacteristic, complemented
130#387×C137C2211yescharacteristic, complemented
131#387×C137C2211yescharacteristic, complemented
132#387×C137C2211yescharacteristic, complemented
133#387×C137C2211yescharacteristic, complemented
134#387×C137C2211yescharacteristic, complemented
135#387×C137C2211yescharacteristic, complemented
136#387×C137C2211yescharacteristic, complemented
137#386×C137C2211yescharacteristic
138#386×C137C2211yescharacteristic
139#386×C137C2211yescharacteristic
140#386×C137C2211yescharacteristic
141#386×C137C2211yescharacteristic
142#386×C137C2211yescharacteristic
143#386×C137C2211yescharacteristic
144#386×C137C2211yescharacteristic
145#386×C137C2211yescharacteristic
146#386×C137C2211yescharacteristic
147#386×C137C2211yescharacteristic
148#386×C137C2211yescharacteristic
149#386×C137C2211yescharacteristic
150#386×C137C2211yescharacteristic
151#386×C137C2211yescharacteristic
152#386×C137C2211yescharacteristic
153#386×C137C2211yescharacteristic
154#386×C137C2211yescharacteristic, complemented
155#386×C137C2211yescharacteristic, complemented
156#386×C137C2211yescharacteristic, complemented
157#385×C137C2211yescharacteristic
158#385×C137C2211yescharacteristic
159#385×C137C2211yescharacteristic
160#385×C137C2211yescharacteristic
161#385×C137C2211yescharacteristic
162#385×C137C2211yescharacteristic
163#385×C137C2211yescharacteristic
164#385×C137C2211yescharacteristic
165#385×C137C2211yescharacteristic
166#385×C137C2211yescharacteristic, complemented
167#385×C137C2211yescharacteristic, complemented
168#385×C137C2211yescharacteristic, complemented
169#385×C137C2211yescharacteristic, complemented
170#385×C137C2211yescharacteristic, complemented
171#380×C137C2211yescharacteristic
172#380×C137C2211yescharacteristic
173#380×C137C2211yescharacteristic
174#380×C137C2211yescharacteristic
175#380×C137C2211yescharacteristic
176#380×C137C2211yescharacteristic
177#380×C137C2211yescharacteristic, complemented
178#380×C137C2211yescharacteristic, complemented
179#379×C137C2211yescharacteristic
180#379×C137C2211yescharacteristic
181#379×C137C2211yescharacteristic
182C4×C4⋊C4×C137C2211yescharacteristic, complemented
183C4×C22⋊C4×C137C2211yescharacteristic
184C4×C22⋊C4×C137C2211yescharacteristic
185C4×C22⋊C4×C137C2211yescharacteristic
186C2×#95×C137C2211yescharacteristic, complemented
187C25×C137C2311yescharacteristic
188C22×Q8×C137C2311yescharacteristic
189C22×Q8×C137C2311yescharacteristic
190C22×D4×C137C2311yescharacteristic
191C22×D4×C137C2311yescharacteristic
192C22×D4×C137C2311yescharacteristic
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—42no—
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
216#126×C137—42no—
217#124×C137—42no—
218#123×C137—42no—
219#123×C137—42no—
220#123×C137—42no—
221C22⋊Q8×C137—42no—
222C22⋊Q8×C137—42no—
223C22⋊Q8×C137—42no—
224C22⋊Q8×C137—42no—
225C22⋊Q8×C137—42no—
226#121×C137—24no—
227#121×C137—24no—
228#121×C137—42no—
229#121×C137—42no—
230#121×C137—42no—
231#121×C137—42no—
232#120×C137—24no—
233#120×C137—42no—
234#120×C137—42no—
235C4×D4×C137—42no—
236C4×D4×C137—42no—
237C4×D4×C137—42no—
238C4×D4×C137—42no—
239#117×C137—42no—
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×C4⋊C4×C137C2311yescharacteristic
256C2×C4⋊C4×C137C2311yescharacteristic
257C2×C4⋊C4×C137C2311yescharacteristic
258C2×C4⋊C4×C137C2311yescharacteristic
259C2×C4⋊C4×C137C2311yescharacteristic
260C2×C4⋊C4×C137C2311yescharacteristic
261C2×C4⋊C4×C137C2311yescharacteristic
262C2×C4⋊C4×C137C2311yescharacteristic
263C2×C4⋊C4×C137C2311yescharacteristic
264C2×C4⋊C4×C137C2311yescharacteristic
265C2×C4⋊C4×C137C2311yescharacteristic
266C2×C4⋊C4×C137C2311yescharacteristic
267C2×C4⋊C4×C137C2311yescharacteristic
268C2×C4⋊C4×C137C2311yescharacteristic
269C2×C4⋊C4×C137C2311yescharacteristic
270C2×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×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×C42×C137C2311yescharacteristic
323C2×C42×C137C2311yescharacteristic
324C2×C42×C137C2311yescharacteristic
325C2×C42×C137C2311yescharacteristic
326C2×C42×C137C2311yescharacteristic
327C2×C42×C137C2311yescharacteristic
328C2×C42×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—41no—
373C24×C137—41no—
374C24×C137—41no—
375C24×C137—41no—
376C24×C137C2411yescharacteristic
377C24×C137C2411yescharacteristic
378C24×C137C2411yescharacteristic
379C24×C137C2411yescharacteristic
380C24×C137C2411yescharacteristic
381C24×C137C2411yescharacteristic
382C2×Q8×C137—22no—
383C2×Q8×C137—41no—
384C2×Q8×C137—41no—
385C2×Q8×C137—41no—
386C2×Q8×C137—41no—
387C2×Q8×C137—41no—
388C2×D4×C137—22no—
389C2×D4×C137—22no—
390C2×D4×C137—22no—
391C2×D4×C137—22no—
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—41no—
402C2×D4×C137—41no—
403C2×D4×C137—41no—
404C2×D4×C137—41no—
405C2×D4×C137—41no—
406C2×D4×C137—41no—
407C2×D4×C137—41no—
408C2×D4×C137—41no—
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—41no—
420C2×D4×C137—41no—
421C2×D4×C137—41no—
422C2×D4×C137—41no—
423C2×D4×C137#4114yes—
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—41no—
437C22×C4×C137—41no—
438C22×C4×C137—41no—
439C22×C4×C137—41no—
440C22×C4×C137—41no—
441C22×C4×C137—41no—
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—416no—
458C22×C4×C137C2411yescharacteristic
459C22×C4×C137C2411yescharacteristic
460C22×C4×C137C2411yescharacteristic
461C22×C4×C137C2411yescharacteristic
462C22×C4×C137C2411yescharacteristic
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
483C4⋊C4×C137—22no—
484C4⋊C4×C137—22no—
485C4⋊C4×C137—22no—
486C4⋊C4×C137—22no—
487C4⋊C4×C137—22no—
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—
510C4⋊C4×C137—41no—
511C4⋊C4×C137—41no—
512C4⋊C4×C137—41no—
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—41no—
533C22⋊C4×C137—41no—
534C22⋊C4×C137—41no—
535C22⋊C4×C137—41no—
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—41no—
562C22⋊C4×C137—41no—
563C22⋊C4×C137—41no—
564C22⋊C4×C137—41no—
565C42×C137—22no—
566C42×C137—41no—
567C42×C137—41no—
568C42×C137—41no—
569C42×C137—41no—
570C42×C137—41no—
571C42×C137—41no—
572C23×C137—21no—
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—21no—
582C23×C137—21no—
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×C137C2×#4112yes—
618C23×C137C2×#4112yes—
619C23×C137H(5,𝔽2)12yes—
620C23×C1372−1+412yes—
621C23×C137C2511yescharacteristic
622Q8×C137—82no—
623Q8×C137—82no—
624D4×C137—44no—
625D4×C137—44no—
626D4×C137—44no—
627D4×C137—44no—
628D4×C137—82no—
629D4×C137—82no—
630D4×C137—82no—
631D4×C137—82no—
632D4×C137—82no—
633D4×C137—82no—
634D4×C137—82no—
635D4×C137—82no—
636C2×C4×C137—21no—
637C2×C4×C137—21no—
638C2×C4×C137—21no—
639C2×C4×C137—21no—
640C2×C4×C137—21no—
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—44no—
708C2×C4×C137—44no—
709C2×C4×C137—44no—
710C2×C4×C137—44no—
711C2×C4×C137—44no—
712C2×C4×C137—44no—
713C2×C4×C137—44no—
714C2×C4×C137—82no—
715C2×C4×C137—82no—
716C2×C4×C137—82no—
717C2×C4×C137—82no—
718C2×C4×C137C2×#4112yes—
719C2×C4×C137H(5,𝔽2)12yes—
720C2×C4×C137H(5,𝔽2)12yes—
721C2×C4×C137H(5,𝔽2)12yes—
722C22×C137—22no—
723C22×C137—22no—
724C22×C137—22no—
725C22×C137—22no—
726C22×C137—22no—
727C22×C137—22no—
728C22×C137—22no—
729C22×C137—22no—
730C22×C137—22no—
731C22×C137—22no—
732C22×C137—22no—
733C22×C137—22no—
734C22×C137—416no—
735C22×C137—41no—
736C22×C137—41no—
737C22×C137—41no—
738C22×C137—41no—
739C22×C137—41no—
740C22×C137—41no—
741C22×C137—41no—
742C22×C137—41no—
743C22×C137—41no—
744C22×C137—41no—
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×C137C22×#4111yescharacteristic
766C22×C137C2×H(5,𝔽2)11yescharacteristic
767C22×C137C2×H(5,𝔽2)11yescharacteristic
768C22×C137C2×H(5,𝔽2)11yescharacteristic
769C22×C137C2×H(5,𝔽2)11yescharacteristic
770C22×C137C2×2−1+411yescharacteristic
771C22×C137#58511yescharacteristic
772C4×C137—22no—
773C4×C137—22no—
774C4×C137—22no—
775C4×C137—22no—
776C4×C137—41no—
777C4×C137—41no—
778C4×C137—41no—
779C4×C137—41no—
780C4×C137—41no—
781C4×C137—41no—
782C4×C137—41no—
783C4×C137—41no—
784C4×C137—41no—
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—
797C2×C137—42no—
798C2×C137—42no—
799C2×C137—42no—
800C2×C137—42no—
801C2×C137—81no—
802C2×C137—81no—
803C2×C137#345911yescharacteristic
804C2×C137#351911yescharacteristic
805C2×C137#352011yescharacteristic
806C2×C137#353211yescharacteristic
807C2×C137#353611yescharacteristic
808C2×C137#354111yescharacteristic
809C2×C137#354211yescharacteristic
810#36901C13711yesmaximal, characteristic, direct product factor, Sylow
811C137#3690111yescharacteristic, direct product factor, Sylow
812#2848C2×C13711yescharacteristic, complemented
813#2847C2×C13711yescharacteristic, complemented
814#2787C2×C13711yescharacteristic, complemented
815#2784C2×C13711yescharacteristic, complemented
816#2778C2×C13711yescharacteristic, complemented
817#2747C2×C13711yescharacteristic, complemented
818#2732C2×C13711yescharacteristic, complemented
819#2708C2×C13711yescharacteristic, complemented
820#2696C2×C13711yescharacteristic, complemented
821#2695C2×C13711yescharacteristic, complemented
822#2692C2×C13711yescharacteristic, complemented
823#2685C2×C13711yescharacteristic, complemented
824#2684C2×C13711yescharacteristic, complemented
825#2681C2×C13711yescharacteristic, complemented
826#2678C2×C13711yescharacteristic, complemented
827#2676C2×C13711yescharacteristic, complemented
828#2671C2×C13711yescharacteristic, complemented
829#2668C2×C13711yescharacteristic, complemented
830#2653C2×C13711yescharacteristic, complemented
831#2649C2×C13711yescharacteristic, complemented
832#2522C2×C13711yescharacteristic, complemented
833#2521C2×C13711yescharacteristic, complemented
834#2477C2×C13711yescharacteristic, complemented
835#2476C2×C13711yescharacteristic, complemented
836#2463C2×C13711yescharacteristic, complemented
837#2456C2×C13711yescharacteristic, complemented
838#2450C2×C13711yescharacteristic, complemented
839#2425C2×C13711yescharacteristic, complemented
840#2325C2×C13711yescharacteristic, complemented
841#2324C2×C13711yescharacteristic, complemented
842C4×#120C2×C13711yescharacteristic, complemented
843C24×C4C22×C13711yescharacteristic
844C2×#126C22×C13711yescharacteristic
845C2×#124C22×C13711yescharacteristic
846C2×#123C22×C13711yescharacteristic
847C2×#123C22×C13711yescharacteristic, complemented
848C2×#123C22×C13711yescharacteristic, complemented
849C2×C22⋊Q8C22×C13711yescharacteristic
850C2×C22⋊Q8C22×C13711yescharacteristic
851C2×C22⋊Q8C22×C13711yescharacteristic
852C2×C22⋊Q8C22×C13711yescharacteristic, complemented
853C2×C22⋊Q8C22×C13711yescharacteristic, complemented
854C2×#121C22×C13711yescharacteristic
855C2×#121C22×C13711yescharacteristic
856C2×#121C22×C13711yescharacteristic
857C2×#121C22×C13711yescharacteristic
858C2×#121C22×C13711yescharacteristic
859C2×#121C22×C13711yescharacteristic
860C2×#120C22×C13711yescharacteristic
861C2×#120C22×C13711yescharacteristic
862C2×#120C22×C13711yescharacteristic
863C2×C4×D4C22×C13711yescharacteristic
864C2×C4×D4C22×C13711yescharacteristic
865C2×C4×D4C22×C13711yescharacteristic
866C2×C4×D4C22×C13711yescharacteristic, complemented
867C2×#117C22×C13711yescharacteristic, complemented
868#401C22×C13711yescharacteristic, complemented
869#400C22×C13711yescharacteristic, complemented
870#400C22×C13711yescharacteristic, complemented
871#400C22×C13711yescharacteristic, complemented
872#400C22×C13711yescharacteristic, complemented
873#399C22×C13711yescharacteristic
874#399C22×C13711yescharacteristic
875#399C22×C13711yescharacteristic, complemented
876#398C22×C13711yescharacteristic, complemented
877#398C22×C13711yescharacteristic, complemented
878#398C22×C13711yescharacteristic, complemented
879#398C22×C13711yescharacteristic, complemented
880#398C22×C13711yescharacteristic, complemented
881#398C22×C13711yescharacteristic, complemented
882#397C22×C13711yescharacteristic
883#397C22×C13711yescharacteristic
884#397C22×C13711yescharacteristic
885#397C22×C13711yescharacteristic
886#397C22×C13711yescharacteristic
887#397C22×C13711yescharacteristic, complemented
888#397C22×C13711yescharacteristic, complemented
889#396C22×C13711yescharacteristic
890#396C22×C13711yescharacteristic
891#396C22×C13711yescharacteristic, complemented
892#396C22×C13711yescharacteristic, complemented
893#396C22×C13711yescharacteristic, complemented
894#395C22×C13711yescharacteristic, complemented
895#394C22×C13711yescharacteristic
896#394C22×C13711yescharacteristic
897#394C22×C13711yescharacteristic
898#394C22×C13711yescharacteristic
899#394C22×C13711yescharacteristic
900#394C22×C13711yescharacteristic
901#394C22×C13711yescharacteristic
902#394C22×C13711yescharacteristic
903#394C22×C13711yescharacteristic
904#394C22×C13711yescharacteristic
905#394C22×C13711yescharacteristic, complemented
906#394C22×C13711yescharacteristic, complemented
907#393C22×C13711yescharacteristic
908#393C22×C13711yescharacteristic
909#393C22×C13711yescharacteristic, complemented
910#393C22×C13711yescharacteristic, complemented
911#393C22×C13711yescharacteristic, complemented
912#392C22×C13711yescharacteristic
913#392C22×C13711yescharacteristic
914#392C22×C13711yescharacteristic
915#392C22×C13711yescharacteristic, complemented
916#391C22×C13711yescharacteristic, complemented
917#391C22×C13711yescharacteristic, complemented
918#390C22×C13711yescharacteristic
919#390C22×C13711yescharacteristic
920#390C22×C13711yescharacteristic
921#390C22×C13711yescharacteristic
922#390C22×C13711yescharacteristic, complemented
923#389C22×C13711yescharacteristic, complemented
924#389C22×C13711yescharacteristic, complemented
925#389C22×C13711yescharacteristic, complemented
926#388C22×C13711yescharacteristic
927#388C22×C13711yescharacteristic
928#388C22×C13711yescharacteristic
929#388C22×C13711yescharacteristic
930#388C22×C13711yescharacteristic
931#388C22×C13711yescharacteristic
932#388C22×C13711yescharacteristic, complemented
933#388C22×C13711yescharacteristic, complemented
934#388C22×C13711yescharacteristic, complemented
935#388C22×C13711yescharacteristic, complemented
936#388C22×C13711yescharacteristic, complemented
937#388C22×C13711yescharacteristic, complemented
938#388C22×C13711yescharacteristic, complemented
939#387C22×C13711yescharacteristic, complemented
940#387C22×C13711yescharacteristic, complemented
941#387C22×C13711yescharacteristic, complemented
942#387C22×C13711yescharacteristic, complemented
943#387C22×C13711yescharacteristic, complemented
944#387C22×C13711yescharacteristic, complemented
945#387C22×C13711yescharacteristic, complemented
946#387C22×C13711yescharacteristic, complemented
947#387C22×C13711yescharacteristic, complemented
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
961#386C22×C13711yescharacteristic
962#386C22×C13711yescharacteristic
963#386C22×C13711yescharacteristic
964#386C22×C13711yescharacteristic
965#386C22×C13711yescharacteristic, complemented
966#386C22×C13711yescharacteristic, complemented
967#386C22×C13711yescharacteristic, complemented
968#385C22×C13711yescharacteristic
969#385C22×C13711yescharacteristic
970#385C22×C13711yescharacteristic
971#385C22×C13711yescharacteristic
972#385C22×C13711yescharacteristic
973#385C22×C13711yescharacteristic
974#385C22×C13711yescharacteristic
975#385C22×C13711yescharacteristic
976#385C22×C13711yescharacteristic
977#385C22×C13711yescharacteristic, complemented
978#385C22×C13711yescharacteristic, complemented
979#385C22×C13711yescharacteristic, complemented
980#385C22×C13711yescharacteristic, complemented
981#385C22×C13711yescharacteristic, complemented
982#380C22×C13711yescharacteristic
983#380C22×C13711yescharacteristic
984#380C22×C13711yescharacteristic
985#380C22×C13711yescharacteristic
986#380C22×C13711yescharacteristic
987#380C22×C13711yescharacteristic
988#380C22×C13711yescharacteristic, complemented
989#380C22×C13711yescharacteristic, complemented
990#379C22×C13711yescharacteristic
991#379C22×C13711yescharacteristic
992#379C22×C13711yescharacteristic
993C4×C4⋊C4C22×C13711yescharacteristic, complemented
994C4×C22⋊C4C22×C13711yescharacteristic
995C4×C22⋊C4C22×C13711yescharacteristic
996C4×C22⋊C4C22×C13711yescharacteristic
997C2×#95C22×C13711yescharacteristic, complemented
998C25C23×C13711yescharacteristic
999C22×Q8C23×C13711yescharacteristic
1000C22×Q8C23×C13711yescharacteristic
1001C22×D4C23×C13711yescharacteristic
1002C22×D4C23×C13711yescharacteristic
1003C22×D4C23×C13711yescharacteristic
1004C22×D4C23×C13711yescharacteristic
1005C22×D4C23×C13711yescharacteristic
1006C22×D4C23×C13711yescharacteristic
1007C22×D4C23×C13711yescharacteristic
1008C22×D4C23×C13711yescharacteristic
1009C22×D4C23×C13711yescharacteristic
1010C22×D4C23×C13711yescharacteristic
1011C22×D4C23×C13711yescharacteristic
1012C22×D4C23×C13711yescharacteristic
1013C23×C4—42no—
1014C23×C4—42no—
1015C23×C4—42no—
1016C23×C4C23×C13711yescharacteristic
1017C23×C4C23×C13711yescharacteristic
1018C23×C4C23×C13711yescharacteristic
1019C23×C4C23×C13711yescharacteristic
1020C23×C4C23×C13711yescharacteristic
1021C23×C4C23×C13711yescharacteristic
1022C23×C4C23×C13711yescharacteristic
1023C23×C4C23×C13711yescharacteristic
1024C23×C4C23×C13711yescharacteristic
1025C23×C4C23×C13711yescharacteristic
1026C23×C4C23×C13711yescharacteristic
1027#126—42no—
1028#124—42no—
1029#123—42no—
1030#123—42no—
1031#123—42no—
1032C22⋊Q8—42no—
1033C22⋊Q8—42no—
1034C22⋊Q8—42no—
1035C22⋊Q8—42no—
1036C22⋊Q8—42no—
1037#121—24no—
1038#121—24no—
1039#121—42no—
1040#121—42no—
1041#121—42no—
1042#121—42no—
1043#120—24no—
1044#120—42no—
1045#120—42no—
1046C4×D4—42no—
1047C4×D4—42no—
1048C4×D4—42no—
1049C4×D4—42no—
1050#117—42no—
1051C2×C4⋊C4C23×C13711yescharacteristic
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×C4⋊C4C23×C13711yescharacteristic
1075C2×C4⋊C4C23×C13711yescharacteristic
1076C2×C4⋊C4C23×C13711yescharacteristic
1077C2×C4⋊C4C23×C13711yescharacteristic
1078C2×C4⋊C4C23×C13711yescharacteristic
1079C2×C4⋊C4C23×C13711yescharacteristic
1080C2×C4⋊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×C22⋊C4C23×C13711yescharacteristic
1132C2×C22⋊C4C23×C13711yescharacteristic
1133C2×C42C23×C13711yescharacteristic
1134C2×C42C23×C13711yescharacteristic
1135C2×C42C23×C13711yescharacteristic
1136C2×C42C23×C13711yescharacteristic
1137C2×C42C23×C13711yescharacteristic
1138C2×C42C23×C13711yescharacteristic
1139C2×C42C23×C13711yescharacteristic
1140#95C23×C13711yescharacteristic
1141#95C23×C13711yescharacteristic
1142#95C23×C13711yescharacteristic
1143#95C23×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
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24—41no—
1187C24C24×C13711yescharacteristic
1188C24C24×C13711yescharacteristic
1189C24C24×C13711yescharacteristic
1190C24C24×C13711yescharacteristic
1191C24C24×C13711yescharacteristic
1192C24C24×C13711yescharacteristic
1193C2×Q8—22no—
1194C2×Q8—41no—
1195C2×Q8—41no—
1196C2×Q8—41no—
1197C2×Q8—41no—
1198C2×Q8—41no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4#41×C13714yes—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
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—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—416no—
1269C22×C4C24×C13711yescharacteristic
1270C22×C4C24×C13711yescharacteristic
1271C22×C4C24×C13711yescharacteristic
1272C22×C4C24×C13711yescharacteristic
1273C22×C4C24×C13711yescharacteristic
1274C22×C4C24×C13711yescharacteristic
1275C22×C4C24×C13711yescharacteristic
1276C22×C4C24×C13711yescharacteristic
1277C22×C4C24×C13711yescharacteristic
1278C22×C4C24×C13711yescharacteristic
1279C22×C4C24×C13711yescharacteristic
1280C22×C4C24×C13711yescharacteristic
1281C22×C4C24×C13711yescharacteristic
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
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
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—
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—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—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—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—
1376C42—22no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
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—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23C2×#41×C13712yes—
1429C23C2×#41×C13712yes—
1430C23H(5,𝔽2)×C13712yes—
1431C232−1+4×C13712yes—
1432C23C25×C13711yescharacteristic
1433Q8—82no—
1434Q8—82no—
1435D4—44no—
1436D4—44no—
1437D4—44no—
1438D4—44no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
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—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4C2×#41×C13712yes—
1530C2×C4H(5,𝔽2)×C13712yes—
1531C2×C4H(5,𝔽2)×C13712yes—
1532C2×C4H(5,𝔽2)×C13712yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—416no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22C22×#41×C13711yescharacteristic
1577C22C2×H(5,𝔽2)×C13711yescharacteristic
1578C22C2×H(5,𝔽2)×C13711yescharacteristic
1579C22C2×H(5,𝔽2)×C13711yescharacteristic
1580C22C2×H(5,𝔽2)×C13711yescharacteristic
1581C22C2×2−1+4×C13711yescharacteristic
1582C22#585×C13711yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C2—42no—
1609C2—42no—
1610C2—42no—
1611C2—42no—
1612C2—81no—
1613C2—81no—
1614C2#3459×C13711yescharacteristic
1615C2#3519×C13711yescharacteristic
1616C2#3520×C13711yescharacteristic
1617C2#3532×C13711yescharacteristic
1618C2#3536×C13711yescharacteristic
1619C2#3541×C13711yescharacteristic
1620C2#3542×C13711yescharacteristic
subgroupG/H
center, socleC23×C137C25
commutator, Frattini, cosocleC23C25×C137
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C137 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2848×C137C2semidirect
2. #2847×C137C2semidirect
3. #2787×C137C2semidirect
4. #2784×C137C2semidirect
5. #2778×C137C2semidirect
6. #2747×C137C2semidirect
7. #2732×C137C2semidirect
8. #2708×C137C2semidirect
9. #2696×C137C2semidirect
10. #2695×C137C2semidirect
11. #2692×C137C2semidirect
12. #2685×C137C2semidirect
13. #2684×C137C2semidirect
14. #2681×C137C2semidirect
15. #2678×C137C2semidirect
16. #2676×C137C2semidirect
17. #2671×C137C2semidirect
18. #2668×C137C2semidirect
19. #2653×C137C2semidirect
20. #2649×C137C2semidirect
21. #2522×C137C2semidirect
22. #2521×C137C2semidirect
23. #2477×C137C2semidirect
24. #2476×C137C2semidirect
25. #2463×C137C2semidirect
26. #2456×C137C2semidirect
27. #2450×C137C2semidirect
28. #2425×C137C2semidirect
29. #2325×C137C2semidirect
30. #2324×C137C2semidirect
31. C4×#120×C137C2semidirect
36. C2×#123×C137C22semidirect
37. C2×#123×C137C22semidirect
41. C2×C22⋊Q8×C137C22semidirect
42. C2×C22⋊Q8×C137C22semidirect
55. C2×C4×D4×C137C22semidirect
56. C2×#117×C137C22semidirect
57. #401×C137C22semidirect
58. #400×C137C22semidirect
59. #400×C137C22semidirect
60. #400×C137C22semidirect
61. #400×C137C22semidirect
64. #399×C137C22semidirect
65. #398×C137C22semidirect
66. #398×C137C22semidirect
67. #398×C137C22semidirect
68. #398×C137C22semidirect
69. #398×C137C22semidirect
70. #398×C137C22semidirect
76. #397×C137C22semidirect
77. #397×C137C22semidirect
80. #396×C137C22semidirect
81. #396×C137C22semidirect
82. #396×C137C22semidirect
83. #395×C137C22semidirect
94. #394×C137C22semidirect
95. #394×C137C22semidirect
98. #393×C137C22semidirect
99. #393×C137C22semidirect
100. #393×C137C22semidirect
104. #392×C137C22semidirect
105. #391×C137C22semidirect
106. #391×C137C22semidirect
111. #390×C137C22semidirect
112. #389×C137C22semidirect
113. #389×C137C22semidirect
114. #389×C137C22semidirect
121. #388×C137C22semidirect
122. #388×C137C22semidirect
123. #388×C137C22semidirect
124. #388×C137C22semidirect
125. #388×C137C22semidirect
126. #388×C137C22semidirect
127. #388×C137C22semidirect
128. #387×C137C22semidirect
129. #387×C137C22semidirect
130. #387×C137C22semidirect
131. #387×C137C22semidirect
132. #387×C137C22semidirect
133. #387×C137C22semidirect
134. #387×C137C22semidirect
135. #387×C137C22semidirect
136. #387×C137C22semidirect
154. #386×C137C22semidirect
155. #386×C137C22semidirect
156. #386×C137C22semidirect
166. #385×C137C22semidirect
167. #385×C137C22semidirect
168. #385×C137C22semidirect
169. #385×C137C22semidirect
170. #385×C137C22semidirect
177. #380×C137C22semidirect
178. #380×C137C22semidirect
182. C4×C4⋊C4×C137C22semidirect
186. C2×#95×C137C22semidirect
810. #36901C137direct (N × H)
811. C137#36901direct (N × H)
812. #2848C2×C137semidirect
813. #2847C2×C137semidirect
814. #2787C2×C137semidirect
815. #2784C2×C137semidirect
816. #2778C2×C137semidirect
817. #2747C2×C137semidirect
818. #2732C2×C137semidirect
819. #2708C2×C137semidirect
820. #2696C2×C137semidirect
821. #2695C2×C137semidirect
822. #2692C2×C137semidirect
823. #2685C2×C137semidirect
824. #2684C2×C137semidirect
825. #2681C2×C137semidirect
826. #2678C2×C137semidirect
827. #2676C2×C137semidirect
828. #2671C2×C137semidirect
829. #2668C2×C137semidirect
830. #2653C2×C137semidirect
831. #2649C2×C137semidirect
832. #2522C2×C137semidirect
833. #2521C2×C137semidirect
834. #2477C2×C137semidirect
835. #2476C2×C137semidirect
836. #2463C2×C137semidirect
837. #2456C2×C137semidirect
838. #2450C2×C137semidirect
839. #2425C2×C137semidirect
840. #2325C2×C137semidirect
841. #2324C2×C137semidirect
842. C4×#120C2×C137semidirect
847. C2×#123C22×C137semidirect
848. C2×#123C22×C137semidirect
852. C2×C22⋊Q8C22×C137semidirect
853. C2×C22⋊Q8C22×C137semidirect
866. C2×C4×D4C22×C137semidirect
867. C2×#117C22×C137semidirect
868. #401C22×C137semidirect
869. #400C22×C137semidirect
870. #400C22×C137semidirect
871. #400C22×C137semidirect
872. #400C22×C137semidirect
875. #399C22×C137semidirect
876. #398C22×C137semidirect
877. #398C22×C137semidirect
878. #398C22×C137semidirect
879. #398C22×C137semidirect
880. #398C22×C137semidirect
881. #398C22×C137semidirect
887. #397C22×C137semidirect
888. #397C22×C137semidirect
891. #396C22×C137semidirect
892. #396C22×C137semidirect
893. #396C22×C137semidirect
894. #395C22×C137semidirect
905. #394C22×C137semidirect
906. #394C22×C137semidirect
909. #393C22×C137semidirect
910. #393C22×C137semidirect
911. #393C22×C137semidirect
915. #392C22×C137semidirect
916. #391C22×C137semidirect
917. #391C22×C137semidirect
922. #390C22×C137semidirect
923. #389C22×C137semidirect
924. #389C22×C137semidirect
925. #389C22×C137semidirect
932. #388C22×C137semidirect
933. #388C22×C137semidirect
934. #388C22×C137semidirect
935. #388C22×C137semidirect
936. #388C22×C137semidirect
937. #388C22×C137semidirect
938. #388C22×C137semidirect
939. #387C22×C137semidirect
940. #387C22×C137semidirect
941. #387C22×C137semidirect
942. #387C22×C137semidirect
943. #387C22×C137semidirect
944. #387C22×C137semidirect
945. #387C22×C137semidirect
946. #387C22×C137semidirect
947. #387C22×C137semidirect
965. #386C22×C137semidirect
966. #386C22×C137semidirect
967. #386C22×C137semidirect
977. #385C22×C137semidirect
978. #385C22×C137semidirect
979. #385C22×C137semidirect
980. #385C22×C137semidirect
981. #385C22×C137semidirect
988. #380C22×C137semidirect
989. #380C22×C137semidirect
993. C4×C4⋊C4C22×C137semidirect
997. C2×#95C22×C137semidirect

Maximal subgroups

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

subgroupindex
#2848×C1372
#2847×C1372
#2787×C1372
#2784×C1372
#2778×C1372
#2747×C1372
#2732×C1372
#2708×C1372
#2696×C1372
#2695×C1372
#2692×C1372
#2685×C1372
#2684×C1372
#2681×C1372
#2678×C1372
#2676×C1372
#2671×C1372
#2668×C1372
#2653×C1372
#2649×C1372
#2522×C1372
#2521×C1372
#2477×C1372
#2476×C1372
#2463×C1372
#2456×C1372
#2450×C1372
#2425×C1372
#2325×C1372
#2324×C1372
C4×#120×C1372
#36901137