Finite Group Databasebeta

← C137×#36735 #46886121

Subgroups — C137×#36735 #46886121

Order 35072.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2849×C137C211yesmaximal, characteristic, complemented
2#2847×C137C211yesmaximal, characteristic, complemented
3#2747×C137C211yesmaximal, characteristic, complemented
4#2740×C137C211yesmaximal, characteristic, complemented
5#2739×C137C211yesmaximal, characteristic, complemented
6#2737×C137C211yesmaximal, characteristic, complemented
7#2737×C137C211yesmaximal, characteristic, complemented
8#2717×C137C211yesmaximal, characteristic, complemented
9#2703×C137C211yesmaximal, characteristic, complemented
10#2697×C137C211yesmaximal, characteristic, complemented
11#2696×C137C211yesmaximal, characteristic, complemented
12#2693×C137C211yesmaximal, characteristic, complemented
13#2688×C137C211yesmaximal, characteristic, complemented
14#2686×C137C211yesmaximal, characteristic, complemented
15#2684×C137C211yesmaximal, characteristic, complemented
16#2678×C137C211yesmaximal, characteristic, complemented
17#2672×C137C211yesmaximal, characteristic, complemented
18#2670×C137C211yesmaximal, characteristic, complemented
19#2665×C137C211yesmaximal, characteristic, complemented
20#2661×C137C211yesmaximal, characteristic, complemented
21#2597×C137C211yesmaximal, characteristic, complemented
22#2578×C137C211yesmaximal, characteristic, complemented
23#2557×C137C211yesmaximal, characteristic, complemented
24#2557×C137C211yesmaximal, characteristic, complemented
25#2477×C137C211yesmaximal, characteristic, complemented
26#2476×C137C211yesmaximal, characteristic, complemented
27#2474×C137C211yesmaximal, characteristic, complemented
28#2471×C137C211yesmaximal, characteristic, complemented
29#2335×C137C211yesmaximal, characteristic, complemented
30#2333×C137C211yesmaximal, characteristic, complemented
31#2280×C137C211yesmaximal, characteristic, complemented
32C24×C4×C137C2211yescharacteristic
33C2×#124×C137C2211yescharacteristic
34C2×#124×C137C2211yescharacteristic
35C2×#124×C137C2211yescharacteristic
36C2×#123×C137C2211yescharacteristic
37C2×#123×C137C2211yescharacteristic
38C2×#123×C137C2211yescharacteristic
39C2×#123×C137C2211yescharacteristic
40C2×#123×C137C2211yescharacteristic, complemented
41C2×C22⋊Q8×C137C2211yescharacteristic, complemented
42C2×#121×C137C2211yescharacteristic
43C2×#121×C137C2211yescharacteristic
44C2×#121×C137C2211yescharacteristic
45C2×#121×C137C2211yescharacteristic
46C2×#120×C137C2211yescharacteristic
47C2×#120×C137C2211yescharacteristic
48C2×#120×C137C2211yescharacteristic
49C2×#117×C137C2211yescharacteristic
50C2×#117×C137C2211yescharacteristic
51#400×C137C2211yescharacteristic, complemented
52#400×C137C2211yescharacteristic, complemented
53#400×C137C2211yescharacteristic, complemented
54#400×C137C2211yescharacteristic, complemented
55#400×C137C2211yescharacteristic, complemented
56#399×C137C2211yescharacteristic, complemented
57#398×C137C2211yescharacteristic, complemented
58#398×C137C2211yescharacteristic, complemented
59#397×C137C2211yescharacteristic
60#397×C137C2211yescharacteristic
61#397×C137C2211yescharacteristic
62#397×C137C2211yescharacteristic
63#397×C137C2211yescharacteristic
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#397×C137C2211yescharacteristic, complemented
71#396×C137C2211yescharacteristic
72#396×C137C2211yescharacteristic
73#396×C137C2211yescharacteristic
74#396×C137C2211yescharacteristic, complemented
75#395×C137C2211yescharacteristic, complemented
76#395×C137C2211yescharacteristic, complemented
77#395×C137C2211yescharacteristic, complemented
78#394×C137C2211yescharacteristic
79#394×C137C2211yescharacteristic
80#394×C137C2211yescharacteristic
81#394×C137C2211yescharacteristic
82#394×C137C2211yescharacteristic
83#394×C137C2211yescharacteristic
84#394×C137C2211yescharacteristic
85#394×C137C2211yescharacteristic
86#394×C137C2211yescharacteristic, complemented
87#394×C137C2211yescharacteristic, complemented
88#393×C137C2211yescharacteristic
89#393×C137C2211yescharacteristic
90#393×C137C2211yescharacteristic
91#393×C137C2211yescharacteristic, complemented
92#393×C137C2211yescharacteristic, complemented
93#392×C137C2211yescharacteristic
94#392×C137C2211yescharacteristic
95#392×C137C2211yescharacteristic
96#392×C137C2211yescharacteristic
97#392×C137C2211yescharacteristic
98#392×C137C2211yescharacteristic, complemented
99#391×C137C2211yescharacteristic, complemented
100#391×C137C2211yescharacteristic, complemented
101#390×C137C2211yescharacteristic
102#390×C137C2211yescharacteristic
103#390×C137C2211yescharacteristic
104#390×C137C2211yescharacteristic
105#390×C137C2211yescharacteristic
106#390×C137C2211yescharacteristic, complemented
107#390×C137C2211yescharacteristic, complemented
108#389×C137C2211yescharacteristic, complemented
109#388×C137C2211yescharacteristic
110#388×C137C2211yescharacteristic
111#388×C137C2211yescharacteristic
112#388×C137C2211yescharacteristic
113#388×C137C2211yescharacteristic
114#388×C137C2211yescharacteristic
115#388×C137C2211yescharacteristic
116#388×C137C2211yescharacteristic, complemented
117#388×C137C2211yescharacteristic, complemented
118#388×C137C2211yescharacteristic, complemented
119#388×C137C2211yescharacteristic, complemented
120#388×C137C2211yescharacteristic, complemented
121#388×C137C2211yescharacteristic, complemented
122#388×C137C2211yescharacteristic, complemented
123#388×C137C2211yescharacteristic, complemented
124#388×C137C2211yescharacteristic, complemented
125#387×C137C2211yescharacteristic, complemented
126#387×C137C2211yescharacteristic, complemented
127#387×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, complemented
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, complemented
162#385×C137C2211yescharacteristic, complemented
163#383×C137C2211yescharacteristic, complemented
164#381×C137C2211yescharacteristic
165#381×C137C2211yescharacteristic
166#381×C137C2211yescharacteristic
167#381×C137C2211yescharacteristic
168#380×C137C2211yescharacteristic
169#380×C137C2211yescharacteristic
170#380×C137C2211yescharacteristic
171#380×C137C2211yescharacteristic
172#380×C137C2211yescharacteristic
173#380×C137C2211yescharacteristic
174#380×C137C2211yescharacteristic
175#380×C137C2211yescharacteristic, complemented
176#379×C137C2211yescharacteristic
177#379×C137C2211yescharacteristic
178#379×C137C2211yescharacteristic
179C4×C4⋊C4×C137C2211yescharacteristic, complemented
180C4×C22⋊C4×C137C2211yescharacteristic
181C4×C22⋊C4×C137C2211yescharacteristic
182C4×C22⋊C4×C137C2211yescharacteristic
183C4×C22⋊C4×C137C2211yescharacteristic
184C4×C22⋊C4×C137C2211yescharacteristic, complemented
185C4×C22⋊C4×C137C2211yescharacteristic, complemented
186C4×C22⋊C4×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—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
214#124×C137—42no—
215#124×C137—42no—
216#124×C137—42no—
217#123×C137—24no—
218#123×C137—42no—
219#123×C137—42no—
220#123×C137—42no—
221#123×C137—42no—
222C22⋊Q8×C137—42no—
223#121×C137—24no—
224#121×C137—42no—
225#121×C137—42no—
226#121×C137—42no—
227#120×C137—42no—
228#120×C137—42no—
229#120×C137—42no—
230#117×C137—42no—
231#117×C137—42no—
232C2×C4⋊C4×C137C2311yescharacteristic
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×C4⋊C4×C137C2311yescharacteristic
256C2×C22⋊C4×C137C2311yescharacteristic
257C2×C22⋊C4×C137C2311yescharacteristic
258C2×C22⋊C4×C137C2311yescharacteristic
259C2×C22⋊C4×C137C2311yescharacteristic
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×C42×C137C2311yescharacteristic
311C2×C42×C137C2311yescharacteristic
312C2×C42×C137C2311yescharacteristic
313C2×C42×C137C2311yescharacteristic
314C2×C42×C137C2311yescharacteristic
315C2×C42×C137C2311yescharacteristic
316C2×C42×C137C2311yescharacteristic
317C2×C42×C137C2311yescharacteristic
318C2×C42×C137C2311yescharacteristic
319#95×C137C2311yescharacteristic
320#95×C137C2311yescharacteristic
321#95×C137C2311yescharacteristic
322#95×C137C2311yescharacteristic
323#95×C137C2311yescharacteristic
324#95×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
363C24×C137—22no—
364C24×C137—22no—
365C24×C137—22no—
366C24×C137—41no—
367C24×C137—41no—
368C24×C137—41no—
369C24×C137—41no—
370C24×C137C2411yescharacteristic
371C24×C137C2411yescharacteristic
372C24×C137C2411yescharacteristic
373C24×C137C2411yescharacteristic
374C24×C137C2411yescharacteristic
375C24×C137C2411yescharacteristic
376C2×Q8×C137—41no—
377C2×Q8×C137—41no—
378C2×Q8×C137—41no—
379C2×Q8×C137—41no—
380C2×Q8×C137—41no—
381C2×Q8×C137—41no—
382C2×D4×C137—22no—
383C2×D4×C137—22no—
384C2×D4×C137—22no—
385C2×D4×C137—22no—
386C2×D4×C137—22no—
387C2×D4×C137—22no—
388C2×D4×C137—22no—
389C2×D4×C137—22no—
390C2×D4×C137—22no—
391C2×D4×C137—22no—
392C2×D4×C137—41no—
393C2×D4×C137—41no—
394C2×D4×C137—41no—
395C2×D4×C137—41no—
396C2×D4×C137—41no—
397C2×D4×C137—41no—
398C2×D4×C137—41no—
399C2×D4×C137—41no—
400C2×D4×C137—41no—
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—
418C22×C4×C137—22no—
419C22×C4×C137—22no—
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—41no—
429C22×C4×C137—41no—
430C22×C4×C137—41no—
431C22×C4×C137—41no—
432C22×C4×C137—41no—
433C22×C4×C137—41no—
434C22×C4×C137—41no—
435C22×C4×C137—41no—
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—416no—
445C22×C4×C137#4114yes—
446C22×C4×C137C2411yescharacteristic
447C22×C4×C137C2411yescharacteristic
448C22×C4×C137C2411yescharacteristic
449C22×C4×C137C2411yescharacteristic
450C22×C4×C137C2411yescharacteristic
451C22×C4×C137C2411yescharacteristic
452C22×C4×C137C2411yescharacteristic
453C22×C4×C137C2411yescharacteristic
454C22×C4×C137C2411yescharacteristic
455C22×C4×C137C2411yescharacteristic
456C22×C4×C137C2411yescharacteristic
457C22×C4×C137C2411yescharacteristic
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
471C4⋊C4×C137—22no—
472C4⋊C4×C137—22no—
473C4⋊C4×C137—22no—
474C4⋊C4×C137—22no—
475C4⋊C4×C137—22no—
476C4⋊C4×C137—22no—
477C4⋊C4×C137—41no—
478C4⋊C4×C137—41no—
479C4⋊C4×C137—41no—
480C4⋊C4×C137—41no—
481C4⋊C4×C137—41no—
482C4⋊C4×C137—41no—
483C4⋊C4×C137—41no—
484C4⋊C4×C137—41no—
485C4⋊C4×C137—41no—
486C4⋊C4×C137—41no—
487C4⋊C4×C137—41no—
488C4⋊C4×C137—41no—
489C4⋊C4×C137—41no—
490C4⋊C4×C137—41no—
491C4⋊C4×C137—41no—
492C4⋊C4×C137—41no—
493C4⋊C4×C137—41no—
494C4⋊C4×C137—41no—
495C22⋊C4×C137—22no—
496C22⋊C4×C137—22no—
497C22⋊C4×C137—22no—
498C22⋊C4×C137—22no—
499C22⋊C4×C137—22no—
500C22⋊C4×C137—22no—
501C22⋊C4×C137—22no—
502C22⋊C4×C137—22no—
503C22⋊C4×C137—22no—
504C22⋊C4×C137—22no—
505C22⋊C4×C137—22no—
506C22⋊C4×C137—22no—
507C22⋊C4×C137—22no—
508C22⋊C4×C137—22no—
509C22⋊C4×C137—22no—
510C22⋊C4×C137—22no—
511C22⋊C4×C137—41no—
512C22⋊C4×C137—41no—
513C22⋊C4×C137—41no—
514C22⋊C4×C137—41no—
515C22⋊C4×C137—41no—
516C22⋊C4×C137—41no—
517C22⋊C4×C137—41no—
518C22⋊C4×C137—41no—
519C22⋊C4×C137—41no—
520C22⋊C4×C137—41no—
521C22⋊C4×C137—41no—
522C22⋊C4×C137—41no—
523C22⋊C4×C137—41no—
524C22⋊C4×C137—41no—
525C22⋊C4×C137—41no—
526C22⋊C4×C137—41no—
527C22⋊C4×C137—41no—
528C22⋊C4×C137—41no—
529C22⋊C4×C137—41no—
530C22⋊C4×C137—41no—
531C22⋊C4×C137—41no—
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—
549C42×C137—41no—
550C42×C137—41no—
551C42×C137—41no—
552C42×C137—41no—
553C42×C137—41no—
554C42×C137—41no—
555C42×C137—41no—
556C42×C137—41no—
557C42×C137—41no—
558C23×C137—21no—
559C23×C137—21no—
560C23×C137—21no—
561C23×C137—21no—
562C23×C137—21no—
563C23×C137—21no—
564C23×C137—21no—
565C23×C137—21no—
566C23×C137—21no—
567C23×C137—21no—
568C23×C137—21no—
569C23×C137—21no—
570C23×C137—21no—
571C23×C137—21no—
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—44no—
598C23×C137—44no—
599C23×C137—44no—
600C23×C137—44no—
601C23×C137—44no—
602C23×C137—44no—
603C23×C137—44no—
604C23×C137C2×#4112yes—
605C23×C137H(5,𝔽2)12yes—
606C23×C137H(5,𝔽2)12yes—
607C23×C137C2511yescharacteristic
608Q8×C137—82no—
609Q8×C137—82no—
610D4×C137—82no—
611D4×C137—82no—
612D4×C137—82no—
613D4×C137—82no—
614D4×C137—82no—
615D4×C137—82no—
616D4×C137—82no—
617D4×C137—82no—
618D4×C137—82no—
619D4×C137—82no—
620D4×C137—82no—
621D4×C137—82no—
622C2×C4×C137—28no—
623C2×C4×C137—21no—
624C2×C4×C137—21no—
625C2×C4×C137—21no—
626C2×C4×C137—21no—
627C2×C4×C137—21no—
628C2×C4×C137—21no—
629C2×C4×C137—21no—
630C2×C4×C137—21no—
631C2×C4×C137—21no—
632C2×C4×C137—21no—
633C2×C4×C137—21no—
634C2×C4×C137—21no—
635C2×C4×C137—21no—
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—44no—
696C2×C4×C137—44no—
697C2×C4×C137—44no—
698C2×C4×C137—44no—
699C2×C4×C137—44no—
700C2×C4×C137—82no—
701C2×C4×C137—82no—
702C2×C4×C137—82no—
703C2×C4×C137C2×#4112yes—
704C2×C4×C137C2×#4112yes—
705C2×C4×C137H(5,𝔽2)12yes—
706C22×C137—22no—
707C22×C137—22no—
708C22×C137—22no—
709C22×C137—22no—
710C22×C137—22no—
711C22×C137—22no—
712C22×C137—22no—
713C22×C137—22no—
714C22×C137—22no—
715C22×C137—416no—
716C22×C137—41no—
717C22×C137—41no—
718C22×C137—41no—
719C22×C137—41no—
720C22×C137—41no—
721C22×C137—41no—
722C22×C137—41no—
723C22×C137—41no—
724C22×C137—41no—
725C22×C137—41no—
726C22×C137—41no—
727C22×C137—41no—
728C22×C137—41no—
729C22×C137—41no—
730C22×C137—41no—
731C22×C137—41no—
732C22×C137—41no—
733C22×C137—41no—
734C22×C137—41no—
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×C137C22×#4111yescharacteristic
750C22×C137C2×H(5,𝔽2)11yescharacteristic
751C22×C137C2×H(5,𝔽2)11yescharacteristic
752C22×C137C2×H(5,𝔽2)11yescharacteristic
753C22×C137#58511yescharacteristic
754C22×C137#58511yescharacteristic
755C22×C137#58511yescharacteristic
756C4×C137—22no—
757C4×C137—22no—
758C4×C137—22no—
759C4×C137—41no—
760C4×C137—41no—
761C4×C137—41no—
762C4×C137—41no—
763C4×C137—41no—
764C4×C137—41no—
765C4×C137—41no—
766C4×C137—41no—
767C4×C137—41no—
768C4×C137—41no—
769C4×C137—41no—
770C4×C137—41no—
771C4×C137—41no—
772C4×C137—41no—
773C4×C137—41no—
774C4×C137—41no—
775C4×C137—41no—
776C4×C137—41no—
777C4×C137—41no—
778C4×C137—41no—
779C4×C137—41no—
780C4×C137—41no—
781C2×C137—42no—
782C2×C137—42no—
783C2×C137—42no—
784C2×C137—81no—
785C2×C137—81no—
786C2×C137—81no—
787C2×C137#345511yescharacteristic
788C2×C137#349011yescharacteristic
789C2×C137#349411yescharacteristic
790C2×C137#353311yescharacteristic
791C2×C137#353411yescharacteristic
792C2×C137#354011yescharacteristic
793C2×C137#354211yescharacteristic
794#36735C13711yesmaximal, characteristic, direct product factor, Sylow
795C137#3673511yescharacteristic, direct product factor, Sylow
796#2849C2×C13711yescharacteristic, complemented
797#2847C2×C13711yescharacteristic, complemented
798#2747C2×C13711yescharacteristic, complemented
799#2740C2×C13711yescharacteristic, complemented
800#2739C2×C13711yescharacteristic, complemented
801#2737C2×C13711yescharacteristic, complemented
802#2737C2×C13711yescharacteristic, complemented
803#2717C2×C13711yescharacteristic, complemented
804#2703C2×C13711yescharacteristic, complemented
805#2697C2×C13711yescharacteristic, complemented
806#2696C2×C13711yescharacteristic, complemented
807#2693C2×C13711yescharacteristic, complemented
808#2688C2×C13711yescharacteristic, complemented
809#2686C2×C13711yescharacteristic, complemented
810#2684C2×C13711yescharacteristic, complemented
811#2678C2×C13711yescharacteristic, complemented
812#2672C2×C13711yescharacteristic, complemented
813#2670C2×C13711yescharacteristic, complemented
814#2665C2×C13711yescharacteristic, complemented
815#2661C2×C13711yescharacteristic, complemented
816#2597C2×C13711yescharacteristic, complemented
817#2578C2×C13711yescharacteristic, complemented
818#2557C2×C13711yescharacteristic, complemented
819#2557C2×C13711yescharacteristic, complemented
820#2477C2×C13711yescharacteristic, complemented
821#2476C2×C13711yescharacteristic, complemented
822#2474C2×C13711yescharacteristic, complemented
823#2471C2×C13711yescharacteristic, complemented
824#2335C2×C13711yescharacteristic, complemented
825#2333C2×C13711yescharacteristic, complemented
826#2280C2×C13711yescharacteristic, complemented
827C24×C4C22×C13711yescharacteristic
828C2×#124C22×C13711yescharacteristic
829C2×#124C22×C13711yescharacteristic
830C2×#124C22×C13711yescharacteristic
831C2×#123C22×C13711yescharacteristic
832C2×#123C22×C13711yescharacteristic
833C2×#123C22×C13711yescharacteristic
834C2×#123C22×C13711yescharacteristic
835C2×#123C22×C13711yescharacteristic, complemented
836C2×C22⋊Q8C22×C13711yescharacteristic, complemented
837C2×#121C22×C13711yescharacteristic
838C2×#121C22×C13711yescharacteristic
839C2×#121C22×C13711yescharacteristic
840C2×#121C22×C13711yescharacteristic
841C2×#120C22×C13711yescharacteristic
842C2×#120C22×C13711yescharacteristic
843C2×#120C22×C13711yescharacteristic
844C2×#117C22×C13711yescharacteristic
845C2×#117C22×C13711yescharacteristic
846#400C22×C13711yescharacteristic, complemented
847#400C22×C13711yescharacteristic, complemented
848#400C22×C13711yescharacteristic, complemented
849#400C22×C13711yescharacteristic, complemented
850#400C22×C13711yescharacteristic, complemented
851#399C22×C13711yescharacteristic, complemented
852#398C22×C13711yescharacteristic, complemented
853#398C22×C13711yescharacteristic, complemented
854#397C22×C13711yescharacteristic
855#397C22×C13711yescharacteristic
856#397C22×C13711yescharacteristic
857#397C22×C13711yescharacteristic
858#397C22×C13711yescharacteristic
859#397C22×C13711yescharacteristic, complemented
860#397C22×C13711yescharacteristic, complemented
861#397C22×C13711yescharacteristic, complemented
862#397C22×C13711yescharacteristic, complemented
863#397C22×C13711yescharacteristic, complemented
864#397C22×C13711yescharacteristic, complemented
865#397C22×C13711yescharacteristic, complemented
866#396C22×C13711yescharacteristic
867#396C22×C13711yescharacteristic
868#396C22×C13711yescharacteristic
869#396C22×C13711yescharacteristic, complemented
870#395C22×C13711yescharacteristic, complemented
871#395C22×C13711yescharacteristic, complemented
872#395C22×C13711yescharacteristic, complemented
873#394C22×C13711yescharacteristic
874#394C22×C13711yescharacteristic
875#394C22×C13711yescharacteristic
876#394C22×C13711yescharacteristic
877#394C22×C13711yescharacteristic
878#394C22×C13711yescharacteristic
879#394C22×C13711yescharacteristic
880#394C22×C13711yescharacteristic
881#394C22×C13711yescharacteristic, complemented
882#394C22×C13711yescharacteristic, complemented
883#393C22×C13711yescharacteristic
884#393C22×C13711yescharacteristic
885#393C22×C13711yescharacteristic
886#393C22×C13711yescharacteristic, complemented
887#393C22×C13711yescharacteristic, complemented
888#392C22×C13711yescharacteristic
889#392C22×C13711yescharacteristic
890#392C22×C13711yescharacteristic
891#392C22×C13711yescharacteristic
892#392C22×C13711yescharacteristic
893#392C22×C13711yescharacteristic, complemented
894#391C22×C13711yescharacteristic, complemented
895#391C22×C13711yescharacteristic, complemented
896#390C22×C13711yescharacteristic
897#390C22×C13711yescharacteristic
898#390C22×C13711yescharacteristic
899#390C22×C13711yescharacteristic
900#390C22×C13711yescharacteristic
901#390C22×C13711yescharacteristic, complemented
902#390C22×C13711yescharacteristic, complemented
903#389C22×C13711yescharacteristic, complemented
904#388C22×C13711yescharacteristic
905#388C22×C13711yescharacteristic
906#388C22×C13711yescharacteristic
907#388C22×C13711yescharacteristic
908#388C22×C13711yescharacteristic
909#388C22×C13711yescharacteristic
910#388C22×C13711yescharacteristic
911#388C22×C13711yescharacteristic, complemented
912#388C22×C13711yescharacteristic, complemented
913#388C22×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#387C22×C13711yescharacteristic, complemented
921#387C22×C13711yescharacteristic, complemented
922#387C22×C13711yescharacteristic, complemented
923#387C22×C13711yescharacteristic, complemented
924#387C22×C13711yescharacteristic, complemented
925#387C22×C13711yescharacteristic, complemented
926#387C22×C13711yescharacteristic, complemented
927#387C22×C13711yescharacteristic, complemented
928#387C22×C13711yescharacteristic, complemented
929#387C22×C13711yescharacteristic, complemented
930#387C22×C13711yescharacteristic, complemented
931#387C22×C13711yescharacteristic, complemented
932#386C22×C13711yescharacteristic
933#386C22×C13711yescharacteristic
934#386C22×C13711yescharacteristic
935#386C22×C13711yescharacteristic
936#386C22×C13711yescharacteristic
937#386C22×C13711yescharacteristic
938#386C22×C13711yescharacteristic
939#386C22×C13711yescharacteristic
940#386C22×C13711yescharacteristic
941#386C22×C13711yescharacteristic
942#386C22×C13711yescharacteristic
943#386C22×C13711yescharacteristic
944#386C22×C13711yescharacteristic
945#386C22×C13711yescharacteristic
946#386C22×C13711yescharacteristic
947#386C22×C13711yescharacteristic
948#386C22×C13711yescharacteristic, complemented
949#386C22×C13711yescharacteristic, complemented
950#386C22×C13711yescharacteristic, complemented
951#386C22×C13711yescharacteristic, complemented
952#385C22×C13711yescharacteristic
953#385C22×C13711yescharacteristic
954#385C22×C13711yescharacteristic
955#385C22×C13711yescharacteristic
956#385C22×C13711yescharacteristic, complemented
957#385C22×C13711yescharacteristic, complemented
958#383C22×C13711yescharacteristic, complemented
959#381C22×C13711yescharacteristic
960#381C22×C13711yescharacteristic
961#381C22×C13711yescharacteristic
962#381C22×C13711yescharacteristic
963#380C22×C13711yescharacteristic
964#380C22×C13711yescharacteristic
965#380C22×C13711yescharacteristic
966#380C22×C13711yescharacteristic
967#380C22×C13711yescharacteristic
968#380C22×C13711yescharacteristic
969#380C22×C13711yescharacteristic
970#380C22×C13711yescharacteristic, complemented
971#379C22×C13711yescharacteristic
972#379C22×C13711yescharacteristic
973#379C22×C13711yescharacteristic
974C4×C4⋊C4C22×C13711yescharacteristic, complemented
975C4×C22⋊C4C22×C13711yescharacteristic
976C4×C22⋊C4C22×C13711yescharacteristic
977C4×C22⋊C4C22×C13711yescharacteristic
978C4×C22⋊C4C22×C13711yescharacteristic
979C4×C22⋊C4C22×C13711yescharacteristic, complemented
980C4×C22⋊C4C22×C13711yescharacteristic, complemented
981C4×C22⋊C4C22×C13711yescharacteristic, complemented
982C25C23×C13711yescharacteristic
983C22×Q8C23×C13711yescharacteristic
984C22×Q8C23×C13711yescharacteristic
985C22×D4C23×C13711yescharacteristic
986C22×D4C23×C13711yescharacteristic
987C22×D4C23×C13711yescharacteristic
988C22×D4C23×C13711yescharacteristic
989C22×D4C23×C13711yescharacteristic
990C22×D4C23×C13711yescharacteristic
991C22×D4C23×C13711yescharacteristic
992C22×D4C23×C13711yescharacteristic
993C22×D4C23×C13711yescharacteristic
994C22×D4C23×C13711yescharacteristic
995C22×D4C23×C13711yescharacteristic
996C22×D4C23×C13711yescharacteristic
997C23×C4—24no—
998C23×C4—42no—
999C23×C4—42no—
1000C23×C4C23×C13711yescharacteristic
1001C23×C4C23×C13711yescharacteristic
1002C23×C4C23×C13711yescharacteristic
1003C23×C4C23×C13711yescharacteristic
1004C23×C4C23×C13711yescharacteristic
1005C23×C4C23×C13711yescharacteristic
1006C23×C4C23×C13711yescharacteristic
1007C23×C4C23×C13711yescharacteristic
1008C23×C4C23×C13711yescharacteristic
1009#124—42no—
1010#124—42no—
1011#124—42no—
1012#123—24no—
1013#123—42no—
1014#123—42no—
1015#123—42no—
1016#123—42no—
1017C22⋊Q8—42no—
1018#121—24no—
1019#121—42no—
1020#121—42no—
1021#121—42no—
1022#120—42no—
1023#120—42no—
1024#120—42no—
1025#117—42no—
1026#117—42no—
1027C2×C4⋊C4C23×C13711yescharacteristic
1028C2×C4⋊C4C23×C13711yescharacteristic
1029C2×C4⋊C4C23×C13711yescharacteristic
1030C2×C4⋊C4C23×C13711yescharacteristic
1031C2×C4⋊C4C23×C13711yescharacteristic
1032C2×C4⋊C4C23×C13711yescharacteristic
1033C2×C4⋊C4C23×C13711yescharacteristic
1034C2×C4⋊C4C23×C13711yescharacteristic
1035C2×C4⋊C4C23×C13711yescharacteristic
1036C2×C4⋊C4C23×C13711yescharacteristic
1037C2×C4⋊C4C23×C13711yescharacteristic
1038C2×C4⋊C4C23×C13711yescharacteristic
1039C2×C4⋊C4C23×C13711yescharacteristic
1040C2×C4⋊C4C23×C13711yescharacteristic
1041C2×C4⋊C4C23×C13711yescharacteristic
1042C2×C4⋊C4C23×C13711yescharacteristic
1043C2×C4⋊C4C23×C13711yescharacteristic
1044C2×C4⋊C4C23×C13711yescharacteristic
1045C2×C4⋊C4C23×C13711yescharacteristic
1046C2×C4⋊C4C23×C13711yescharacteristic
1047C2×C4⋊C4C23×C13711yescharacteristic
1048C2×C4⋊C4C23×C13711yescharacteristic
1049C2×C4⋊C4C23×C13711yescharacteristic
1050C2×C4⋊C4C23×C13711yescharacteristic
1051C2×C22⋊C4C23×C13711yescharacteristic
1052C2×C22⋊C4C23×C13711yescharacteristic
1053C2×C22⋊C4C23×C13711yescharacteristic
1054C2×C22⋊C4C23×C13711yescharacteristic
1055C2×C22⋊C4C23×C13711yescharacteristic
1056C2×C22⋊C4C23×C13711yescharacteristic
1057C2×C22⋊C4C23×C13711yescharacteristic
1058C2×C22⋊C4C23×C13711yescharacteristic
1059C2×C22⋊C4C23×C13711yescharacteristic
1060C2×C22⋊C4C23×C13711yescharacteristic
1061C2×C22⋊C4C23×C13711yescharacteristic
1062C2×C22⋊C4C23×C13711yescharacteristic
1063C2×C22⋊C4C23×C13711yescharacteristic
1064C2×C22⋊C4C23×C13711yescharacteristic
1065C2×C22⋊C4C23×C13711yescharacteristic
1066C2×C22⋊C4C23×C13711yescharacteristic
1067C2×C22⋊C4C23×C13711yescharacteristic
1068C2×C22⋊C4C23×C13711yescharacteristic
1069C2×C22⋊C4C23×C13711yescharacteristic
1070C2×C22⋊C4C23×C13711yescharacteristic
1071C2×C22⋊C4C23×C13711yescharacteristic
1072C2×C22⋊C4C23×C13711yescharacteristic
1073C2×C22⋊C4C23×C13711yescharacteristic
1074C2×C22⋊C4C23×C13711yescharacteristic
1075C2×C22⋊C4C23×C13711yescharacteristic
1076C2×C22⋊C4C23×C13711yescharacteristic
1077C2×C22⋊C4C23×C13711yescharacteristic
1078C2×C22⋊C4C23×C13711yescharacteristic
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×C42C23×C13711yescharacteristic
1106C2×C42C23×C13711yescharacteristic
1107C2×C42C23×C13711yescharacteristic
1108C2×C42C23×C13711yescharacteristic
1109C2×C42C23×C13711yescharacteristic
1110C2×C42C23×C13711yescharacteristic
1111C2×C42C23×C13711yescharacteristic
1112C2×C42C23×C13711yescharacteristic
1113C2×C42C23×C13711yescharacteristic
1114#95C23×C13711yescharacteristic
1115#95C23×C13711yescharacteristic
1116#95C23×C13711yescharacteristic
1117#95C23×C13711yescharacteristic
1118#95C23×C13711yescharacteristic
1119#95C23×C13711yescharacteristic
1120#95C23×C13711yescharacteristic
1121#95C23×C13711yescharacteristic
1122#95C23×C13711yescharacteristic
1123#95C23×C13711yescharacteristic
1124#95C23×C13711yescharacteristic
1125#95C23×C13711yescharacteristic
1126#95C23×C13711yescharacteristic
1127#95C23×C13711yescharacteristic
1128#95C23×C13711yescharacteristic
1129#95C23×C13711yescharacteristic
1130#95C23×C13711yescharacteristic
1131#95C23×C13711yescharacteristic
1132#95C23×C13711yescharacteristic
1133#95C23×C13711yescharacteristic
1134#95C23×C13711yescharacteristic
1135#95C23×C13711yescharacteristic
1136#95C23×C13711yescharacteristic
1137#95C23×C13711yescharacteristic
1138#95C23×C13711yescharacteristic
1139#95C23×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
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—41no—
1165C24C24×C13711yescharacteristic
1166C24C24×C13711yescharacteristic
1167C24C24×C13711yescharacteristic
1168C24C24×C13711yescharacteristic
1169C24C24×C13711yescharacteristic
1170C24C24×C13711yescharacteristic
1171C2×Q8—41no—
1172C2×Q8—41no—
1173C2×Q8—41no—
1174C2×Q8—41no—
1175C2×Q8—41no—
1176C2×Q8—41no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—416no—
1240C22×C4#41×C13714yes—
1241C22×C4C24×C13711yescharacteristic
1242C22×C4C24×C13711yescharacteristic
1243C22×C4C24×C13711yescharacteristic
1244C22×C4C24×C13711yescharacteristic
1245C22×C4C24×C13711yescharacteristic
1246C22×C4C24×C13711yescharacteristic
1247C22×C4C24×C13711yescharacteristic
1248C22×C4C24×C13711yescharacteristic
1249C22×C4C24×C13711yescharacteristic
1250C22×C4C24×C13711yescharacteristic
1251C22×C4C24×C13711yescharacteristic
1252C22×C4C24×C13711yescharacteristic
1253C22×C4C24×C13711yescharacteristic
1254C22×C4C24×C13711yescharacteristic
1255C22×C4C24×C13711yescharacteristic
1256C22×C4C24×C13711yescharacteristic
1257C22×C4C24×C13711yescharacteristic
1258C22×C4C24×C13711yescharacteristic
1259C22×C4C24×C13711yescharacteristic
1260C22×C4C24×C13711yescharacteristic
1261C22×C4C24×C13711yescharacteristic
1262C22×C4C24×C13711yescharacteristic
1263C22×C4C24×C13711yescharacteristic
1264C22×C4C24×C13711yescharacteristic
1265C22×C4C24×C13711yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C42—41no—
1352C42—41no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23C2×#41×C13712yes—
1400C23H(5,𝔽2)×C13712yes—
1401C23H(5,𝔽2)×C13712yes—
1402C23C25×C13711yescharacteristic
1403Q8—82no—
1404Q8—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413D4—82no—
1414D4—82no—
1415D4—82no—
1416D4—82no—
1417C2×C4—28no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
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—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—82no—
1498C2×C4C2×#41×C13712yes—
1499C2×C4C2×#41×C13712yes—
1500C2×C4H(5,𝔽2)×C13712yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—416no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22C22×#41×C13711yescharacteristic
1545C22C2×H(5,𝔽2)×C13711yescharacteristic
1546C22C2×H(5,𝔽2)×C13711yescharacteristic
1547C22C2×H(5,𝔽2)×C13711yescharacteristic
1548C22#585×C13711yescharacteristic
1549C22#585×C13711yescharacteristic
1550C22#585×C13711yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C2—42no—
1577C2—42no—
1578C2—42no—
1579C2—81no—
1580C2—81no—
1581C2—81no—
1582C2#3455×C13711yescharacteristic
1583C2#3490×C13711yescharacteristic
1584C2#3494×C13711yescharacteristic
1585C2#3533×C13711yescharacteristic
1586C2#3534×C13711yescharacteristic
1587C2#3540×C13711yescharacteristic
1588C2#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. #2849×C137C2semidirect
2. #2847×C137C2semidirect
3. #2747×C137C2semidirect
4. #2740×C137C2semidirect
5. #2739×C137C2semidirect
6. #2737×C137C2semidirect
7. #2737×C137C2semidirect
8. #2717×C137C2semidirect
9. #2703×C137C2semidirect
10. #2697×C137C2semidirect
11. #2696×C137C2semidirect
12. #2693×C137C2semidirect
13. #2688×C137C2semidirect
14. #2686×C137C2semidirect
15. #2684×C137C2semidirect
16. #2678×C137C2semidirect
17. #2672×C137C2semidirect
18. #2670×C137C2semidirect
19. #2665×C137C2semidirect
20. #2661×C137C2semidirect
21. #2597×C137C2semidirect
22. #2578×C137C2semidirect
23. #2557×C137C2semidirect
24. #2557×C137C2semidirect
25. #2477×C137C2semidirect
26. #2476×C137C2semidirect
27. #2474×C137C2semidirect
28. #2471×C137C2semidirect
29. #2335×C137C2semidirect
30. #2333×C137C2semidirect
31. #2280×C137C2semidirect
40. C2×#123×C137C22semidirect
41. C2×C22⋊Q8×C137C22semidirect
51. #400×C137C22semidirect
52. #400×C137C22semidirect
53. #400×C137C22semidirect
54. #400×C137C22semidirect
55. #400×C137C22semidirect
56. #399×C137C22semidirect
57. #398×C137C22semidirect
58. #398×C137C22semidirect
64. #397×C137C22semidirect
65. #397×C137C22semidirect
66. #397×C137C22semidirect
67. #397×C137C22semidirect
68. #397×C137C22semidirect
69. #397×C137C22semidirect
70. #397×C137C22semidirect
74. #396×C137C22semidirect
75. #395×C137C22semidirect
76. #395×C137C22semidirect
77. #395×C137C22semidirect
86. #394×C137C22semidirect
87. #394×C137C22semidirect
91. #393×C137C22semidirect
92. #393×C137C22semidirect
98. #392×C137C22semidirect
99. #391×C137C22semidirect
100. #391×C137C22semidirect
106. #390×C137C22semidirect
107. #390×C137C22semidirect
108. #389×C137C22semidirect
116. #388×C137C22semidirect
117. #388×C137C22semidirect
118. #388×C137C22semidirect
119. #388×C137C22semidirect
120. #388×C137C22semidirect
121. #388×C137C22semidirect
122. #388×C137C22semidirect
123. #388×C137C22semidirect
124. #388×C137C22semidirect
125. #387×C137C22semidirect
126. #387×C137C22semidirect
127. #387×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
153. #386×C137C22semidirect
154. #386×C137C22semidirect
155. #386×C137C22semidirect
156. #386×C137C22semidirect
161. #385×C137C22semidirect
162. #385×C137C22semidirect
163. #383×C137C22semidirect
175. #380×C137C22semidirect
179. C4×C4⋊C4×C137C22semidirect
184. C4×C22⋊C4×C137C22semidirect
185. C4×C22⋊C4×C137C22semidirect
186. C4×C22⋊C4×C137C22semidirect
794. #36735C137direct (N × H)
795. C137#36735direct (N × H)
796. #2849C2×C137semidirect
797. #2847C2×C137semidirect
798. #2747C2×C137semidirect
799. #2740C2×C137semidirect
800. #2739C2×C137semidirect
801. #2737C2×C137semidirect
802. #2737C2×C137semidirect
803. #2717C2×C137semidirect
804. #2703C2×C137semidirect
805. #2697C2×C137semidirect
806. #2696C2×C137semidirect
807. #2693C2×C137semidirect
808. #2688C2×C137semidirect
809. #2686C2×C137semidirect
810. #2684C2×C137semidirect
811. #2678C2×C137semidirect
812. #2672C2×C137semidirect
813. #2670C2×C137semidirect
814. #2665C2×C137semidirect
815. #2661C2×C137semidirect
816. #2597C2×C137semidirect
817. #2578C2×C137semidirect
818. #2557C2×C137semidirect
819. #2557C2×C137semidirect
820. #2477C2×C137semidirect
821. #2476C2×C137semidirect
822. #2474C2×C137semidirect
823. #2471C2×C137semidirect
824. #2335C2×C137semidirect
825. #2333C2×C137semidirect
826. #2280C2×C137semidirect
835. C2×#123C22×C137semidirect
836. C2×C22⋊Q8C22×C137semidirect
846. #400C22×C137semidirect
847. #400C22×C137semidirect
848. #400C22×C137semidirect
849. #400C22×C137semidirect
850. #400C22×C137semidirect
851. #399C22×C137semidirect
852. #398C22×C137semidirect
853. #398C22×C137semidirect
859. #397C22×C137semidirect
860. #397C22×C137semidirect
861. #397C22×C137semidirect
862. #397C22×C137semidirect
863. #397C22×C137semidirect
864. #397C22×C137semidirect
865. #397C22×C137semidirect
869. #396C22×C137semidirect
870. #395C22×C137semidirect
871. #395C22×C137semidirect
872. #395C22×C137semidirect
881. #394C22×C137semidirect
882. #394C22×C137semidirect
886. #393C22×C137semidirect
887. #393C22×C137semidirect
893. #392C22×C137semidirect
894. #391C22×C137semidirect
895. #391C22×C137semidirect
901. #390C22×C137semidirect
902. #390C22×C137semidirect
903. #389C22×C137semidirect
911. #388C22×C137semidirect
912. #388C22×C137semidirect
913. #388C22×C137semidirect
914. #388C22×C137semidirect
915. #388C22×C137semidirect
916. #388C22×C137semidirect
917. #388C22×C137semidirect
918. #388C22×C137semidirect
919. #388C22×C137semidirect
920. #387C22×C137semidirect
921. #387C22×C137semidirect
922. #387C22×C137semidirect
923. #387C22×C137semidirect
924. #387C22×C137semidirect
925. #387C22×C137semidirect
926. #387C22×C137semidirect
927. #387C22×C137semidirect
928. #387C22×C137semidirect
929. #387C22×C137semidirect
930. #387C22×C137semidirect
931. #387C22×C137semidirect
948. #386C22×C137semidirect
949. #386C22×C137semidirect
950. #386C22×C137semidirect
951. #386C22×C137semidirect
956. #385C22×C137semidirect
957. #385C22×C137semidirect
958. #383C22×C137semidirect
970. #380C22×C137semidirect
974. C4×C4⋊C4C22×C137semidirect
979. C4×C22⋊C4C22×C137semidirect
980. C4×C22⋊C4C22×C137semidirect
981. C4×C22⋊C4C22×C137semidirect

Maximal subgroups

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

subgroupindex
#2849×C1372
#2847×C1372
#2747×C1372
#2740×C1372
#2739×C1372
#2737×C1372
#2717×C1372
#2703×C1372
#2697×C1372
#2696×C1372
#2693×C1372
#2688×C1372
#2686×C1372
#2684×C1372
#2678×C1372
#2672×C1372
#2670×C1372
#2665×C1372
#2661×C1372
#2597×C1372
#2578×C1372
#2557×C1372
#2477×C1372
#2476×C1372
#2474×C1372
#2471×C1372
#2335×C1372
#2333×C1372
#2280×C1372
#36735137