Finite Group Databasebeta

← C137×#36856 #46886242

Subgroups — C137×#36856 #46886242

Order 35072.

2112 conjugacy classes of subgroups.

The subgroup lattice has 1674 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#2797×C137C211yesmaximal, characteristic, complemented
4#2782×C137C211yesmaximal, characteristic, complemented
5#2780×C137C211yesmaximal, characteristic, complemented
6#2750×C137C211yesmaximal, characteristic, complemented
7#2744×C137C211yesmaximal, characteristic, complemented
8#2708×C137C211yesmaximal, characteristic, complemented
9#2697×C137C211yesmaximal, characteristic, complemented
10#2693×C137C211yesmaximal, characteristic, complemented
11#2693×C137C211yesmaximal, characteristic, complemented
12#2688×C137C211yesmaximal, characteristic, complemented
13#2688×C137C211yesmaximal, characteristic, complemented
14#2682×C137C211yesmaximal, characteristic, complemented
15#2678×C137C211yesmaximal, characteristic, complemented
16#2673×C137C211yesmaximal, characteristic, complemented
17#2669×C137C211yesmaximal, characteristic, complemented
18#2668×C137C211yesmaximal, characteristic, complemented
19#2649×C137C211yesmaximal, characteristic, complemented
20#2648×C137C211yesmaximal, characteristic, complemented
21#2530×C137C211yesmaximal, characteristic, complemented
22#2526×C137C211yesmaximal, characteristic, complemented
23#2464×C137C211yesmaximal, characteristic, complemented
24#2457×C137C211yesmaximal, characteristic, complemented
25#2456×C137C211yesmaximal, characteristic, complemented
26#2456×C137C211yesmaximal, characteristic, complemented
27#2444×C137C211yesmaximal, characteristic, complemented
28#2425×C137C211yesmaximal, characteristic, complemented
29#2328×C137C211yesmaximal, characteristic, complemented
30#2325×C137C211yesmaximal, characteristic, complemented
31C4×#120×C137C211yesmaximal, characteristic, complemented
32C24×C4×C137C2211yescharacteristic
33C2×#127×C137C2211yescharacteristic
34C2×#123×C137C2211yescharacteristic
35C2×#123×C137C2211yescharacteristic
36C2×#123×C137C2211yescharacteristic
37C2×#123×C137C2211yescharacteristic
38C2×#123×C137C2211yescharacteristic, complemented
39C2×#123×C137C2211yescharacteristic, complemented
40C2×#121×C137C2211yescharacteristic
41C2×#121×C137C2211yescharacteristic
42C2×#121×C137C2211yescharacteristic
43C2×#121×C137C2211yescharacteristic
44C2×#121×C137C2211yescharacteristic
45C2×#121×C137C2211yescharacteristic
46C2×#121×C137C2211yescharacteristic
47C2×#121×C137C2211yescharacteristic
48C2×#120×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×C4×D4×C137C2211yescharacteristic, complemented
57#400×C137C2211yescharacteristic, complemented
58#400×C137C2211yescharacteristic, complemented
59#400×C137C2211yescharacteristic, complemented
60#400×C137C2211yescharacteristic, complemented
61#400×C137C2211yescharacteristic, complemented
62#400×C137C2211yescharacteristic, complemented
63#400×C137C2211yescharacteristic, complemented
64#400×C137C2211yescharacteristic, complemented
65#399×C137C2211yescharacteristic
66#398×C137C2211yescharacteristic, complemented
67#398×C137C2211yescharacteristic, complemented
68#397×C137C2211yescharacteristic
69#397×C137C2211yescharacteristic
70#397×C137C2211yescharacteristic
71#397×C137C2211yescharacteristic
72#397×C137C2211yescharacteristic
73#397×C137C2211yescharacteristic, complemented
74#397×C137C2211yescharacteristic, complemented
75#397×C137C2211yescharacteristic, complemented
76#397×C137C2211yescharacteristic, complemented
77#397×C137C2211yescharacteristic, complemented
78#396×C137C2211yescharacteristic
79#396×C137C2211yescharacteristic
80#396×C137C2211yescharacteristic
81#396×C137C2211yescharacteristic, complemented
82#396×C137C2211yescharacteristic, complemented
83#396×C137C2211yescharacteristic, complemented
84#396×C137C2211yescharacteristic, complemented
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, complemented
94#394×C137C2211yescharacteristic, complemented
95#392×C137C2211yescharacteristic
96#392×C137C2211yescharacteristic
97#392×C137C2211yescharacteristic
98#392×C137C2211yescharacteristic
99#392×C137C2211yescharacteristic
100#392×C137C2211yescharacteristic
101#392×C137C2211yescharacteristic
102#392×C137C2211yescharacteristic, complemented
103#392×C137C2211yescharacteristic, complemented
104#392×C137C2211yescharacteristic, complemented
105#390×C137C2211yescharacteristic
106#390×C137C2211yescharacteristic
107#390×C137C2211yescharacteristic
108#390×C137C2211yescharacteristic, complemented
109#390×C137C2211yescharacteristic, complemented
110#389×C137C2211yescharacteristic, complemented
111#389×C137C2211yescharacteristic, complemented
112#388×C137C2211yescharacteristic
113#388×C137C2211yescharacteristic
114#388×C137C2211yescharacteristic
115#388×C137C2211yescharacteristic
116#388×C137C2211yescharacteristic
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#387×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#386×C137C2211yescharacteristic
132#386×C137C2211yescharacteristic
133#386×C137C2211yescharacteristic
134#386×C137C2211yescharacteristic
135#386×C137C2211yescharacteristic
136#386×C137C2211yescharacteristic
137#386×C137C2211yescharacteristic
138#386×C137C2211yescharacteristic
139#386×C137C2211yescharacteristic
140#386×C137C2211yescharacteristic
141#386×C137C2211yescharacteristic
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, complemented
153#386×C137C2211yescharacteristic, complemented
154#386×C137C2211yescharacteristic, complemented
155#386×C137C2211yescharacteristic, complemented
156#386×C137C2211yescharacteristic, complemented
157#386×C137C2211yescharacteristic, complemented
158#386×C137C2211yescharacteristic, complemented
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#382×C137C2211yescharacteristic, complemented
172#381×C137C2211yescharacteristic
173#381×C137C2211yescharacteristic
174#381×C137C2211yescharacteristic, complemented
175#380×C137C2211yescharacteristic
176#380×C137C2211yescharacteristic
177#380×C137C2211yescharacteristic
178#380×C137C2211yescharacteristic, complemented
179#380×C137C2211yescharacteristic, complemented
180#379×C137C2211yescharacteristic
181#379×C137C2211yescharacteristic
182C4×C22⋊C4×C137C2211yescharacteristic
183C4×C22⋊C4×C137C2211yescharacteristic
184C4×C22⋊C4×C137C2211yescharacteristic
185#376×C137C2211yescharacteristic, complemented
186C2×#95×C137C2211yescharacteristic, complemented
187C25×C137C2311yescharacteristic
188C22×D4×C137C2311yescharacteristic
189C22×D4×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
202C22×D4×C137C2311yescharacteristic
203C22×D4×C137C2311yescharacteristic
204C22×D4×C137C2311yescharacteristic
205C22×D4×C137C2311yescharacteristic
206C23×C4×C137—42no—
207C23×C4×C137—42no—
208C23×C4×C137—42no—
209C23×C4×C137C2311yescharacteristic
210C23×C4×C137C2311yescharacteristic
211C23×C4×C137C2311yescharacteristic
212C23×C4×C137C2311yescharacteristic
213C23×C4×C137C2311yescharacteristic
214C23×C4×C137C2311yescharacteristic
215C23×C4×C137C2311yescharacteristic
216C23×C4×C137C2311yescharacteristic
217C23×C4×C137C2311yescharacteristic
218C23×C4×C137C2311yescharacteristic
219C23×C4×C137C2311yescharacteristic
220C23×C4×C137C2311yescharacteristic
221#127×C137—24no—
222#123×C137—42no—
223#123×C137—42no—
224#123×C137—42no—
225#123×C137—42no—
226#123×C137—42no—
227#123×C137—42no—
228#121×C137—24no—
229#121×C137—42no—
230#121×C137—42no—
231#121×C137—42no—
232#121×C137—42no—
233#121×C137—42no—
234#121×C137—42no—
235#121×C137—42no—
236#120×C137—24no—
237#120×C137—42no—
238#120×C137—42no—
239#120×C137—42no—
240C4×D4×C137—42no—
241C4×D4×C137—42no—
242C4×D4×C137—42no—
243C4×D4×C137—42no—
244C4×D4×C137—42no—
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×C22⋊C4×C137C2311yescharacteristic
270C2×C22⋊C4×C137C2311yescharacteristic
271C2×C22⋊C4×C137C2311yescharacteristic
272C2×C22⋊C4×C137C2311yescharacteristic
273C2×C22⋊C4×C137C2311yescharacteristic
274C2×C22⋊C4×C137C2311yescharacteristic
275C2×C22⋊C4×C137C2311yescharacteristic
276C2×C22⋊C4×C137C2311yescharacteristic
277C2×C22⋊C4×C137C2311yescharacteristic
278C2×C22⋊C4×C137C2311yescharacteristic
279C2×C22⋊C4×C137C2311yescharacteristic
280C2×C22⋊C4×C137C2311yescharacteristic
281C2×C22⋊C4×C137C2311yescharacteristic
282C2×C22⋊C4×C137C2311yescharacteristic
283C2×C22⋊C4×C137C2311yescharacteristic
284C2×C22⋊C4×C137C2311yescharacteristic
285C2×C22⋊C4×C137C2311yescharacteristic
286C2×C22⋊C4×C137C2311yescharacteristic
287C2×C22⋊C4×C137C2311yescharacteristic
288C2×C22⋊C4×C137C2311yescharacteristic
289C2×C22⋊C4×C137C2311yescharacteristic
290C2×C22⋊C4×C137C2311yescharacteristic
291C2×C22⋊C4×C137C2311yescharacteristic
292C2×C22⋊C4×C137C2311yescharacteristic
293C2×C22⋊C4×C137C2311yescharacteristic
294C2×C22⋊C4×C137C2311yescharacteristic
295C2×C22⋊C4×C137C2311yescharacteristic
296C2×C22⋊C4×C137C2311yescharacteristic
297C2×C22⋊C4×C137C2311yescharacteristic
298C2×C22⋊C4×C137C2311yescharacteristic
299C2×C22⋊C4×C137C2311yescharacteristic
300C2×C22⋊C4×C137C2311yescharacteristic
301C2×C22⋊C4×C137C2311yescharacteristic
302C2×C22⋊C4×C137C2311yescharacteristic
303C2×C22⋊C4×C137C2311yescharacteristic
304C2×C22⋊C4×C137C2311yescharacteristic
305C2×C22⋊C4×C137C2311yescharacteristic
306C2×C22⋊C4×C137C2311yescharacteristic
307C2×C22⋊C4×C137C2311yescharacteristic
308C2×C22⋊C4×C137C2311yescharacteristic
309C2×C22⋊C4×C137C2311yescharacteristic
310C2×C22⋊C4×C137C2311yescharacteristic
311C2×C22⋊C4×C137C2311yescharacteristic
312C2×C22⋊C4×C137C2311yescharacteristic
313C2×C22⋊C4×C137C2311yescharacteristic
314C2×C22⋊C4×C137C2311yescharacteristic
315C2×C22⋊C4×C137C2311yescharacteristic
316C2×C22⋊C4×C137C2311yescharacteristic
317C2×C22⋊C4×C137C2311yescharacteristic
318C2×C22⋊C4×C137C2311yescharacteristic
319C2×C22⋊C4×C137C2311yescharacteristic
320C2×C22⋊C4×C137C2311yescharacteristic
321C2×C22⋊C4×C137C2311yescharacteristic
322C2×C22⋊C4×C137C2311yescharacteristic
323C2×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
382C24×C137C2411yescharacteristic
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—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—41no—
424C2×D4×C137—41no—
425C2×D4×C137—41no—
426C2×D4×C137—41no—
427C2×D4×C137—41no—
428C2×D4×C137—41no—
429C2×D4×C137—41no—
430C2×D4×C137—41no—
431C2×D4×C137—41no—
432C2×D4×C137—41no—
433C2×D4×C137—41no—
434C2×D4×C137—41no—
435C2×D4×C137—41no—
436C2×D4×C137#4114yes—
437C22×C4×C137—22no—
438C22×C4×C137—22no—
439C22×C4×C137—22no—
440C22×C4×C137—22no—
441C22×C4×C137—22no—
442C22×C4×C137—22no—
443C22×C4×C137—22no—
444C22×C4×C137—22no—
445C22×C4×C137—22no—
446C22×C4×C137—22no—
447C22×C4×C137—41no—
448C22×C4×C137—41no—
449C22×C4×C137—41no—
450C22×C4×C137—41no—
451C22×C4×C137—41no—
452C22×C4×C137—41no—
453C22×C4×C137—41no—
454C22×C4×C137—41no—
455C22×C4×C137—41no—
456C22×C4×C137—41no—
457C22×C4×C137—41no—
458C22×C4×C137—41no—
459C22×C4×C137—41no—
460C22×C4×C137—41no—
461C22×C4×C137—41no—
462C22×C4×C137—41no—
463C22×C4×C137—41no—
464C22×C4×C137—41no—
465C22×C4×C137—41no—
466C22×C4×C137—41no—
467C22×C4×C137—41no—
468C22×C4×C137—41no—
469C22×C4×C137—41no—
470C22×C4×C137—41no—
471C22×C4×C137—41no—
472C22×C4×C137—41no—
473C22×C4×C137—416no—
474C22×C4×C137C2411yescharacteristic
475C22×C4×C137C2411yescharacteristic
476C22×C4×C137C2411yescharacteristic
477C22×C4×C137C2411yescharacteristic
478C22×C4×C137C2411yescharacteristic
479C22×C4×C137C2411yescharacteristic
480C22×C4×C137C2411yescharacteristic
481C22×C4×C137C2411yescharacteristic
482C22×C4×C137C2411yescharacteristic
483C22×C4×C137C2411yescharacteristic
484C22×C4×C137C2411yescharacteristic
485C22×C4×C137C2411yescharacteristic
486C22×C4×C137C2411yescharacteristic
487C22×C4×C137C2411yescharacteristic
488C22×C4×C137C2411yescharacteristic
489C22×C4×C137C2411yescharacteristic
490C22×C4×C137C2411yescharacteristic
491C22×C4×C137C2411yescharacteristic
492C22×C4×C137C2411yescharacteristic
493C22×C4×C137C2411yescharacteristic
494C22×C4×C137C2411yescharacteristic
495C22×C4×C137C2411yescharacteristic
496C22×C4×C137C2411yescharacteristic
497C22×C4×C137C2411yescharacteristic
498C4⋊C4×C137—22no—
499C4⋊C4×C137—22no—
500C4⋊C4×C137—22no—
501C4⋊C4×C137—22no—
502C4⋊C4×C137—22no—
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—
513C4⋊C4×C137—41no—
514C4⋊C4×C137—41no—
515C4⋊C4×C137—41no—
516C4⋊C4×C137—41no—
517C4⋊C4×C137—41no—
518C4⋊C4×C137—41no—
519C4⋊C4×C137—41no—
520C4⋊C4×C137—41no—
521C4⋊C4×C137—41no—
522C22⋊C4×C137—22no—
523C22⋊C4×C137—22no—
524C22⋊C4×C137—22no—
525C22⋊C4×C137—22no—
526C22⋊C4×C137—22no—
527C22⋊C4×C137—22no—
528C22⋊C4×C137—22no—
529C22⋊C4×C137—22no—
530C22⋊C4×C137—22no—
531C22⋊C4×C137—22no—
532C22⋊C4×C137—22no—
533C22⋊C4×C137—22no—
534C22⋊C4×C137—22no—
535C22⋊C4×C137—22no—
536C22⋊C4×C137—22no—
537C22⋊C4×C137—22no—
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—
565C22⋊C4×C137—41no—
566C22⋊C4×C137—41no—
567C22⋊C4×C137—41no—
568C22⋊C4×C137—41no—
569C22⋊C4×C137—41no—
570C22⋊C4×C137—41no—
571C22⋊C4×C137—41no—
572C22⋊C4×C137—41no—
573C22⋊C4×C137—41no—
574C22⋊C4×C137—41no—
575C22⋊C4×C137—41no—
576C42×C137—22no—
577C42×C137—22no—
578C42×C137—41no—
579C42×C137—41no—
580C42×C137—41no—
581C42×C137—41no—
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—21no—
611C23×C137—21no—
612C23×C137—21no—
613C23×C137—21no—
614C23×C137—21no—
615C23×C137—21no—
616C23×C137—21no—
617C23×C137—21no—
618C23×C137—21no—
619C23×C137—21no—
620C23×C137—21no—
621C23×C137—21no—
622C23×C137—21no—
623C23×C137—21no—
624C23×C137—21no—
625C23×C137—21no—
626C23×C137—21no—
627C23×C137—44no—
628C23×C137—44no—
629C23×C137—44no—
630C23×C137—44no—
631C23×C137—44no—
632C23×C137—44no—
633C23×C137—44no—
634C23×C137C2×#4112yes—
635C23×C137C2×#4112yes—
636C23×C137H(5,𝔽2)12yes—
637C23×C137H(5,𝔽2)12yes—
638C23×C137C2511yescharacteristic
639D4×C137—44no—
640D4×C137—44no—
641D4×C137—44no—
642D4×C137—44no—
643D4×C137—44no—
644D4×C137—82no—
645D4×C137—82no—
646D4×C137—82no—
647D4×C137—82no—
648D4×C137—82no—
649D4×C137—82no—
650D4×C137—82no—
651D4×C137—82no—
652D4×C137—82no—
653D4×C137—82no—
654D4×C137—82no—
655D4×C137—82no—
656D4×C137—82no—
657C2×C4×C137—21no—
658C2×C4×C137—21no—
659C2×C4×C137—21no—
660C2×C4×C137—21no—
661C2×C4×C137—21no—
662C2×C4×C137—21no—
663C2×C4×C137—21no—
664C2×C4×C137—21no—
665C2×C4×C137—21no—
666C2×C4×C137—21no—
667C2×C4×C137—21no—
668C2×C4×C137—21no—
669C2×C4×C137—21no—
670C2×C4×C137—21no—
671C2×C4×C137—21no—
672C2×C4×C137—21no—
673C2×C4×C137—21no—
674C2×C4×C137—21no—
675C2×C4×C137—21no—
676C2×C4×C137—21no—
677C2×C4×C137—21no—
678C2×C4×C137—21no—
679C2×C4×C137—21no—
680C2×C4×C137—21no—
681C2×C4×C137—21no—
682C2×C4×C137—21no—
683C2×C4×C137—21no—
684C2×C4×C137—21no—
685C2×C4×C137—21no—
686C2×C4×C137—21no—
687C2×C4×C137—21no—
688C2×C4×C137—21no—
689C2×C4×C137—21no—
690C2×C4×C137—21no—
691C2×C4×C137—21no—
692C2×C4×C137—21no—
693C2×C4×C137—21no—
694C2×C4×C137—21no—
695C2×C4×C137—21no—
696C2×C4×C137—21no—
697C2×C4×C137—21no—
698C2×C4×C137—21no—
699C2×C4×C137—21no—
700C2×C4×C137—21no—
701C2×C4×C137—21no—
702C2×C4×C137—21no—
703C2×C4×C137—21no—
704C2×C4×C137—21no—
705C2×C4×C137—21no—
706C2×C4×C137—21no—
707C2×C4×C137—21no—
708C2×C4×C137—21no—
709C2×C4×C137—21no—
710C2×C4×C137—21no—
711C2×C4×C137—21no—
712C2×C4×C137—21no—
713C2×C4×C137—21no—
714C2×C4×C137—21no—
715C2×C4×C137—21no—
716C2×C4×C137—21no—
717C2×C4×C137—21no—
718C2×C4×C137—21no—
719C2×C4×C137—21no—
720C2×C4×C137—21no—
721C2×C4×C137—21no—
722C2×C4×C137—21no—
723C2×C4×C137—21no—
724C2×C4×C137—21no—
725C2×C4×C137—21no—
726C2×C4×C137—44no—
727C2×C4×C137—44no—
728C2×C4×C137—44no—
729C2×C4×C137—44no—
730C2×C4×C137—44no—
731C2×C4×C137—44no—
732C2×C4×C137—82no—
733C2×C4×C137—82no—
734C2×C4×C137—82no—
735C2×C4×C137—82no—
736C2×C4×C137—82no—
737C2×C4×C137—82no—
738C2×C4×C137C2×#4112yes—
739C2×C4×C137H(5,𝔽2)12yes—
740C2×C4×C137H(5,𝔽2)12yes—
741C22×C137—22no—
742C22×C137—22no—
743C22×C137—22no—
744C22×C137—22no—
745C22×C137—22no—
746C22×C137—22no—
747C22×C137—22no—
748C22×C137—22no—
749C22×C137—22no—
750C22×C137—22no—
751C22×C137—22no—
752C22×C137—22no—
753C22×C137—416no—
754C22×C137—41no—
755C22×C137—41no—
756C22×C137—41no—
757C22×C137—41no—
758C22×C137—41no—
759C22×C137—41no—
760C22×C137—41no—
761C22×C137—41no—
762C22×C137—41no—
763C22×C137—41no—
764C22×C137—41no—
765C22×C137—41no—
766C22×C137—41no—
767C22×C137—41no—
768C22×C137—41no—
769C22×C137—41no—
770C22×C137—41no—
771C22×C137—41no—
772C22×C137—41no—
773C22×C137—41no—
774C22×C137—41no—
775C22×C137—41no—
776C22×C137—41no—
777C22×C137—41no—
778C22×C137—41no—
779C22×C137—41no—
780C22×C137—41no—
781C22×C137—41no—
782C22×C137—41no—
783C22×C137—41no—
784C22×C137—41no—
785C22×C137—41no—
786C22×C137—41no—
787C22×C137—41no—
788C22×C137—41no—
789C22×C137—41no—
790C22×C137—41no—
791C22×C137C22×#4111yescharacteristic
792C22×C137C2×H(5,𝔽2)11yescharacteristic
793C22×C137C2×H(5,𝔽2)11yescharacteristic
794C22×C137C2×H(5,𝔽2)11yescharacteristic
795C22×C137C2×H(5,𝔽2)11yescharacteristic
796C22×C137#58511yescharacteristic
797C22×C137#58511yescharacteristic
798C4×C137—22no—
799C4×C137—22no—
800C4×C137—22no—
801C4×C137—41no—
802C4×C137—41no—
803C4×C137—41no—
804C4×C137—41no—
805C4×C137—41no—
806C4×C137—41no—
807C4×C137—41no—
808C4×C137—41no—
809C4×C137—41no—
810C4×C137—41no—
811C4×C137—41no—
812C4×C137—41no—
813C4×C137—41no—
814C4×C137—41no—
815C4×C137—41no—
816C4×C137—41no—
817C4×C137—41no—
818C4×C137—41no—
819C4×C137—41no—
820C4×C137—41no—
821C4×C137—41no—
822C2×C137—42no—
823C2×C137—42no—
824C2×C137—42no—
825C2×C137—42no—
826C2×C137—81no—
827C2×C137—81no—
828C2×C137—81no—
829C2×C137#345911yescharacteristic
830C2×C137#351311yescharacteristic
831C2×C137#351911yescharacteristic
832C2×C137#353211yescharacteristic
833C2×C137#353411yescharacteristic
834C2×C137#353911yescharacteristic
835C2×C137#354211yescharacteristic
836#36856C13711yesmaximal, characteristic, direct product factor, Sylow
837C137#3685611yescharacteristic, direct product factor, Sylow
838#2849C2×C13711yescharacteristic, complemented
839#2847C2×C13711yescharacteristic, complemented
840#2797C2×C13711yescharacteristic, complemented
841#2782C2×C13711yescharacteristic, complemented
842#2780C2×C13711yescharacteristic, complemented
843#2750C2×C13711yescharacteristic, complemented
844#2744C2×C13711yescharacteristic, complemented
845#2708C2×C13711yescharacteristic, complemented
846#2697C2×C13711yescharacteristic, complemented
847#2693C2×C13711yescharacteristic, complemented
848#2693C2×C13711yescharacteristic, complemented
849#2688C2×C13711yescharacteristic, complemented
850#2688C2×C13711yescharacteristic, complemented
851#2682C2×C13711yescharacteristic, complemented
852#2678C2×C13711yescharacteristic, complemented
853#2673C2×C13711yescharacteristic, complemented
854#2669C2×C13711yescharacteristic, complemented
855#2668C2×C13711yescharacteristic, complemented
856#2649C2×C13711yescharacteristic, complemented
857#2648C2×C13711yescharacteristic, complemented
858#2530C2×C13711yescharacteristic, complemented
859#2526C2×C13711yescharacteristic, complemented
860#2464C2×C13711yescharacteristic, complemented
861#2457C2×C13711yescharacteristic, complemented
862#2456C2×C13711yescharacteristic, complemented
863#2456C2×C13711yescharacteristic, complemented
864#2444C2×C13711yescharacteristic, complemented
865#2425C2×C13711yescharacteristic, complemented
866#2328C2×C13711yescharacteristic, complemented
867#2325C2×C13711yescharacteristic, complemented
868C4×#120C2×C13711yescharacteristic, complemented
869C24×C4C22×C13711yescharacteristic
870C2×#127C22×C13711yescharacteristic
871C2×#123C22×C13711yescharacteristic
872C2×#123C22×C13711yescharacteristic
873C2×#123C22×C13711yescharacteristic
874C2×#123C22×C13711yescharacteristic
875C2×#123C22×C13711yescharacteristic, complemented
876C2×#123C22×C13711yescharacteristic, complemented
877C2×#121C22×C13711yescharacteristic
878C2×#121C22×C13711yescharacteristic
879C2×#121C22×C13711yescharacteristic
880C2×#121C22×C13711yescharacteristic
881C2×#121C22×C13711yescharacteristic
882C2×#121C22×C13711yescharacteristic
883C2×#121C22×C13711yescharacteristic
884C2×#121C22×C13711yescharacteristic
885C2×#120C22×C13711yescharacteristic
886C2×#120C22×C13711yescharacteristic
887C2×#120C22×C13711yescharacteristic
888C2×#120C22×C13711yescharacteristic
889C2×C4×D4C22×C13711yescharacteristic
890C2×C4×D4C22×C13711yescharacteristic
891C2×C4×D4C22×C13711yescharacteristic
892C2×C4×D4C22×C13711yescharacteristic, complemented
893C2×C4×D4C22×C13711yescharacteristic, complemented
894#400C22×C13711yescharacteristic, complemented
895#400C22×C13711yescharacteristic, complemented
896#400C22×C13711yescharacteristic, complemented
897#400C22×C13711yescharacteristic, complemented
898#400C22×C13711yescharacteristic, complemented
899#400C22×C13711yescharacteristic, complemented
900#400C22×C13711yescharacteristic, complemented
901#400C22×C13711yescharacteristic, complemented
902#399C22×C13711yescharacteristic
903#398C22×C13711yescharacteristic, complemented
904#398C22×C13711yescharacteristic, complemented
905#397C22×C13711yescharacteristic
906#397C22×C13711yescharacteristic
907#397C22×C13711yescharacteristic
908#397C22×C13711yescharacteristic
909#397C22×C13711yescharacteristic
910#397C22×C13711yescharacteristic, complemented
911#397C22×C13711yescharacteristic, complemented
912#397C22×C13711yescharacteristic, complemented
913#397C22×C13711yescharacteristic, complemented
914#397C22×C13711yescharacteristic, complemented
915#396C22×C13711yescharacteristic
916#396C22×C13711yescharacteristic
917#396C22×C13711yescharacteristic
918#396C22×C13711yescharacteristic, complemented
919#396C22×C13711yescharacteristic, complemented
920#396C22×C13711yescharacteristic, complemented
921#396C22×C13711yescharacteristic, complemented
922#394C22×C13711yescharacteristic
923#394C22×C13711yescharacteristic
924#394C22×C13711yescharacteristic
925#394C22×C13711yescharacteristic
926#394C22×C13711yescharacteristic
927#394C22×C13711yescharacteristic
928#394C22×C13711yescharacteristic
929#394C22×C13711yescharacteristic
930#394C22×C13711yescharacteristic, complemented
931#394C22×C13711yescharacteristic, complemented
932#392C22×C13711yescharacteristic
933#392C22×C13711yescharacteristic
934#392C22×C13711yescharacteristic
935#392C22×C13711yescharacteristic
936#392C22×C13711yescharacteristic
937#392C22×C13711yescharacteristic
938#392C22×C13711yescharacteristic
939#392C22×C13711yescharacteristic, complemented
940#392C22×C13711yescharacteristic, complemented
941#392C22×C13711yescharacteristic, complemented
942#390C22×C13711yescharacteristic
943#390C22×C13711yescharacteristic
944#390C22×C13711yescharacteristic
945#390C22×C13711yescharacteristic, complemented
946#390C22×C13711yescharacteristic, complemented
947#389C22×C13711yescharacteristic, complemented
948#389C22×C13711yescharacteristic, complemented
949#388C22×C13711yescharacteristic
950#388C22×C13711yescharacteristic
951#388C22×C13711yescharacteristic
952#388C22×C13711yescharacteristic
953#388C22×C13711yescharacteristic
954#388C22×C13711yescharacteristic, complemented
955#388C22×C13711yescharacteristic, complemented
956#388C22×C13711yescharacteristic, complemented
957#388C22×C13711yescharacteristic, complemented
958#388C22×C13711yescharacteristic, complemented
959#388C22×C13711yescharacteristic, complemented
960#388C22×C13711yescharacteristic, complemented
961#387C22×C13711yescharacteristic, complemented
962#387C22×C13711yescharacteristic, complemented
963#387C22×C13711yescharacteristic, complemented
964#387C22×C13711yescharacteristic, complemented
965#387C22×C13711yescharacteristic, complemented
966#387C22×C13711yescharacteristic, complemented
967#387C22×C13711yescharacteristic, complemented
968#386C22×C13711yescharacteristic
969#386C22×C13711yescharacteristic
970#386C22×C13711yescharacteristic
971#386C22×C13711yescharacteristic
972#386C22×C13711yescharacteristic
973#386C22×C13711yescharacteristic
974#386C22×C13711yescharacteristic
975#386C22×C13711yescharacteristic
976#386C22×C13711yescharacteristic
977#386C22×C13711yescharacteristic
978#386C22×C13711yescharacteristic
979#386C22×C13711yescharacteristic
980#386C22×C13711yescharacteristic
981#386C22×C13711yescharacteristic
982#386C22×C13711yescharacteristic
983#386C22×C13711yescharacteristic
984#386C22×C13711yescharacteristic
985#386C22×C13711yescharacteristic
986#386C22×C13711yescharacteristic
987#386C22×C13711yescharacteristic
988#386C22×C13711yescharacteristic
989#386C22×C13711yescharacteristic, complemented
990#386C22×C13711yescharacteristic, complemented
991#386C22×C13711yescharacteristic, complemented
992#386C22×C13711yescharacteristic, complemented
993#386C22×C13711yescharacteristic, complemented
994#386C22×C13711yescharacteristic, complemented
995#386C22×C13711yescharacteristic, complemented
996#385C22×C13711yescharacteristic
997#385C22×C13711yescharacteristic
998#385C22×C13711yescharacteristic
999#385C22×C13711yescharacteristic
1000#385C22×C13711yescharacteristic
1001#385C22×C13711yescharacteristic
1002#385C22×C13711yescharacteristic
1003#385C22×C13711yescharacteristic, complemented
1004#385C22×C13711yescharacteristic, complemented
1005#385C22×C13711yescharacteristic, complemented
1006#385C22×C13711yescharacteristic, complemented
1007#385C22×C13711yescharacteristic, complemented
1008#382C22×C13711yescharacteristic, complemented
1009#381C22×C13711yescharacteristic
1010#381C22×C13711yescharacteristic
1011#381C22×C13711yescharacteristic, complemented
1012#380C22×C13711yescharacteristic
1013#380C22×C13711yescharacteristic
1014#380C22×C13711yescharacteristic
1015#380C22×C13711yescharacteristic, complemented
1016#380C22×C13711yescharacteristic, complemented
1017#379C22×C13711yescharacteristic
1018#379C22×C13711yescharacteristic
1019C4×C22⋊C4C22×C13711yescharacteristic
1020C4×C22⋊C4C22×C13711yescharacteristic
1021C4×C22⋊C4C22×C13711yescharacteristic
1022#376C22×C13711yescharacteristic, complemented
1023C2×#95C22×C13711yescharacteristic, complemented
1024C25C23×C13711yescharacteristic
1025C22×D4C23×C13711yescharacteristic
1026C22×D4C23×C13711yescharacteristic
1027C22×D4C23×C13711yescharacteristic
1028C22×D4C23×C13711yescharacteristic
1029C22×D4C23×C13711yescharacteristic
1030C22×D4C23×C13711yescharacteristic
1031C22×D4C23×C13711yescharacteristic
1032C22×D4C23×C13711yescharacteristic
1033C22×D4C23×C13711yescharacteristic
1034C22×D4C23×C13711yescharacteristic
1035C22×D4C23×C13711yescharacteristic
1036C22×D4C23×C13711yescharacteristic
1037C22×D4C23×C13711yescharacteristic
1038C22×D4C23×C13711yescharacteristic
1039C22×D4C23×C13711yescharacteristic
1040C22×D4C23×C13711yescharacteristic
1041C22×D4C23×C13711yescharacteristic
1042C22×D4C23×C13711yescharacteristic
1043C23×C4—42no—
1044C23×C4—42no—
1045C23×C4—42no—
1046C23×C4C23×C13711yescharacteristic
1047C23×C4C23×C13711yescharacteristic
1048C23×C4C23×C13711yescharacteristic
1049C23×C4C23×C13711yescharacteristic
1050C23×C4C23×C13711yescharacteristic
1051C23×C4C23×C13711yescharacteristic
1052C23×C4C23×C13711yescharacteristic
1053C23×C4C23×C13711yescharacteristic
1054C23×C4C23×C13711yescharacteristic
1055C23×C4C23×C13711yescharacteristic
1056C23×C4C23×C13711yescharacteristic
1057C23×C4C23×C13711yescharacteristic
1058#127—24no—
1059#123—42no—
1060#123—42no—
1061#123—42no—
1062#123—42no—
1063#123—42no—
1064#123—42no—
1065#121—24no—
1066#121—42no—
1067#121—42no—
1068#121—42no—
1069#121—42no—
1070#121—42no—
1071#121—42no—
1072#121—42no—
1073#120—24no—
1074#120—42no—
1075#120—42no—
1076#120—42no—
1077C4×D4—42no—
1078C4×D4—42no—
1079C4×D4—42no—
1080C4×D4—42no—
1081C4×D4—42no—
1082C2×C4⋊C4C23×C13711yescharacteristic
1083C2×C4⋊C4C23×C13711yescharacteristic
1084C2×C4⋊C4C23×C13711yescharacteristic
1085C2×C4⋊C4C23×C13711yescharacteristic
1086C2×C4⋊C4C23×C13711yescharacteristic
1087C2×C4⋊C4C23×C13711yescharacteristic
1088C2×C4⋊C4C23×C13711yescharacteristic
1089C2×C4⋊C4C23×C13711yescharacteristic
1090C2×C4⋊C4C23×C13711yescharacteristic
1091C2×C4⋊C4C23×C13711yescharacteristic
1092C2×C4⋊C4C23×C13711yescharacteristic
1093C2×C4⋊C4C23×C13711yescharacteristic
1094C2×C4⋊C4C23×C13711yescharacteristic
1095C2×C4⋊C4C23×C13711yescharacteristic
1096C2×C4⋊C4C23×C13711yescharacteristic
1097C2×C4⋊C4C23×C13711yescharacteristic
1098C2×C4⋊C4C23×C13711yescharacteristic
1099C2×C4⋊C4C23×C13711yescharacteristic
1100C2×C4⋊C4C23×C13711yescharacteristic
1101C2×C4⋊C4C23×C13711yescharacteristic
1102C2×C4⋊C4C23×C13711yescharacteristic
1103C2×C4⋊C4C23×C13711yescharacteristic
1104C2×C4⋊C4C23×C13711yescharacteristic
1105C2×C4⋊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×C22⋊C4C23×C13711yescharacteristic
1134C2×C22⋊C4C23×C13711yescharacteristic
1135C2×C22⋊C4C23×C13711yescharacteristic
1136C2×C22⋊C4C23×C13711yescharacteristic
1137C2×C22⋊C4C23×C13711yescharacteristic
1138C2×C22⋊C4C23×C13711yescharacteristic
1139C2×C22⋊C4C23×C13711yescharacteristic
1140C2×C22⋊C4C23×C13711yescharacteristic
1141C2×C22⋊C4C23×C13711yescharacteristic
1142C2×C22⋊C4C23×C13711yescharacteristic
1143C2×C22⋊C4C23×C13711yescharacteristic
1144C2×C22⋊C4C23×C13711yescharacteristic
1145C2×C22⋊C4C23×C13711yescharacteristic
1146C2×C22⋊C4C23×C13711yescharacteristic
1147C2×C22⋊C4C23×C13711yescharacteristic
1148C2×C22⋊C4C23×C13711yescharacteristic
1149C2×C22⋊C4C23×C13711yescharacteristic
1150C2×C22⋊C4C23×C13711yescharacteristic
1151C2×C22⋊C4C23×C13711yescharacteristic
1152C2×C22⋊C4C23×C13711yescharacteristic
1153C2×C22⋊C4C23×C13711yescharacteristic
1154C2×C22⋊C4C23×C13711yescharacteristic
1155C2×C22⋊C4C23×C13711yescharacteristic
1156C2×C22⋊C4C23×C13711yescharacteristic
1157C2×C22⋊C4C23×C13711yescharacteristic
1158C2×C22⋊C4C23×C13711yescharacteristic
1159C2×C22⋊C4C23×C13711yescharacteristic
1160C2×C42C23×C13711yescharacteristic
1161C2×C42C23×C13711yescharacteristic
1162C2×C42C23×C13711yescharacteristic
1163C2×C42C23×C13711yescharacteristic
1164C2×C42C23×C13711yescharacteristic
1165C2×C42C23×C13711yescharacteristic
1166#95C23×C13711yescharacteristic
1167#95C23×C13711yescharacteristic
1168#95C23×C13711yescharacteristic
1169#95C23×C13711yescharacteristic
1170#95C23×C13711yescharacteristic
1171#95C23×C13711yescharacteristic
1172#95C23×C13711yescharacteristic
1173#95C23×C13711yescharacteristic
1174#95C23×C13711yescharacteristic
1175#95C23×C13711yescharacteristic
1176#95C23×C13711yescharacteristic
1177#95C23×C13711yescharacteristic
1178#95C23×C13711yescharacteristic
1179#95C23×C13711yescharacteristic
1180#95C23×C13711yescharacteristic
1181#95C23×C13711yescharacteristic
1182#95C23×C13711yescharacteristic
1183#95C23×C13711yescharacteristic
1184#95C23×C13711yescharacteristic
1185#95C23×C13711yescharacteristic
1186#95C23×C13711yescharacteristic
1187#95C23×C13711yescharacteristic
1188#95C23×C13711yescharacteristic
1189#95C23×C13711yescharacteristic
1190#95C23×C13711yescharacteristic
1191#95C23×C13711yescharacteristic
1192#95C23×C13711yescharacteristic
1193#95C23×C13711yescharacteristic
1194#95C23×C13711yescharacteristic
1195#95C23×C13711yescharacteristic
1196#95C23×C13711yescharacteristic
1197#95C23×C13711yescharacteristic
1198#95C23×C13711yescharacteristic
1199#95C23×C13711yescharacteristic
1200#95C23×C13711yescharacteristic
1201#95C23×C13711yescharacteristic
1202#95C23×C13711yescharacteristic
1203#95C23×C13711yescharacteristic
1204#95C23×C13711yescharacteristic
1205#95C23×C13711yescharacteristic
1206C24—22no—
1207C24—22no—
1208C24—22no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24C24×C13711yescharacteristic
1214C24C24×C13711yescharacteristic
1215C24C24×C13711yescharacteristic
1216C24C24×C13711yescharacteristic
1217C24C24×C13711yescharacteristic
1218C24C24×C13711yescharacteristic
1219C24C24×C13711yescharacteristic
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4#41×C13714yes—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—416no—
1311C22×C4C24×C13711yescharacteristic
1312C22×C4C24×C13711yescharacteristic
1313C22×C4C24×C13711yescharacteristic
1314C22×C4C24×C13711yescharacteristic
1315C22×C4C24×C13711yescharacteristic
1316C22×C4C24×C13711yescharacteristic
1317C22×C4C24×C13711yescharacteristic
1318C22×C4C24×C13711yescharacteristic
1319C22×C4C24×C13711yescharacteristic
1320C22×C4C24×C13711yescharacteristic
1321C22×C4C24×C13711yescharacteristic
1322C22×C4C24×C13711yescharacteristic
1323C22×C4C24×C13711yescharacteristic
1324C22×C4C24×C13711yescharacteristic
1325C22×C4C24×C13711yescharacteristic
1326C22×C4C24×C13711yescharacteristic
1327C22×C4C24×C13711yescharacteristic
1328C22×C4C24×C13711yescharacteristic
1329C22×C4C24×C13711yescharacteristic
1330C22×C4C24×C13711yescharacteristic
1331C22×C4C24×C13711yescharacteristic
1332C22×C4C24×C13711yescharacteristic
1333C22×C4C24×C13711yescharacteristic
1334C22×C4C24×C13711yescharacteristic
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C42—22no—
1414C42—22no—
1415C42—41no—
1416C42—41no—
1417C42—41no—
1418C42—41no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23C2×#41×C13712yes—
1472C23C2×#41×C13712yes—
1473C23H(5,𝔽2)×C13712yes—
1474C23H(5,𝔽2)×C13712yes—
1475C23C25×C13711yescharacteristic
1476D4—44no—
1477D4—44no—
1478D4—44no—
1479D4—44no—
1480D4—44no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
1492D4—82no—
1493D4—82no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—82no—
1570C2×C4—82no—
1571C2×C4—82no—
1572C2×C4—82no—
1573C2×C4—82no—
1574C2×C4—82no—
1575C2×C4C2×#41×C13712yes—
1576C2×C4H(5,𝔽2)×C13712yes—
1577C2×C4H(5,𝔽2)×C13712yes—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—416no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22C22×#41×C13711yescharacteristic
1629C22C2×H(5,𝔽2)×C13711yescharacteristic
1630C22C2×H(5,𝔽2)×C13711yescharacteristic
1631C22C2×H(5,𝔽2)×C13711yescharacteristic
1632C22C2×H(5,𝔽2)×C13711yescharacteristic
1633C22#585×C13711yescharacteristic
1634C22#585×C13711yescharacteristic
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—42no—
1663C2—81no—
1664C2—81no—
1665C2—81no—
1666C2#3459×C13711yescharacteristic
1667C2#3513×C13711yescharacteristic
1668C2#3519×C13711yescharacteristic
1669C2#3532×C13711yescharacteristic
1670C2#3534×C13711yescharacteristic
1671C2#3539×C13711yescharacteristic
1672C2#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. #2797×C137C2semidirect
4. #2782×C137C2semidirect
5. #2780×C137C2semidirect
6. #2750×C137C2semidirect
7. #2744×C137C2semidirect
8. #2708×C137C2semidirect
9. #2697×C137C2semidirect
10. #2693×C137C2semidirect
11. #2693×C137C2semidirect
12. #2688×C137C2semidirect
13. #2688×C137C2semidirect
14. #2682×C137C2semidirect
15. #2678×C137C2semidirect
16. #2673×C137C2semidirect
17. #2669×C137C2semidirect
18. #2668×C137C2semidirect
19. #2649×C137C2semidirect
20. #2648×C137C2semidirect
21. #2530×C137C2semidirect
22. #2526×C137C2semidirect
23. #2464×C137C2semidirect
24. #2457×C137C2semidirect
25. #2456×C137C2semidirect
26. #2456×C137C2semidirect
27. #2444×C137C2semidirect
28. #2425×C137C2semidirect
29. #2328×C137C2semidirect
30. #2325×C137C2semidirect
31. C4×#120×C137C2semidirect
38. C2×#123×C137C22semidirect
39. C2×#123×C137C22semidirect
55. C2×C4×D4×C137C22semidirect
56. C2×C4×D4×C137C22semidirect
57. #400×C137C22semidirect
58. #400×C137C22semidirect
59. #400×C137C22semidirect
60. #400×C137C22semidirect
61. #400×C137C22semidirect
62. #400×C137C22semidirect
63. #400×C137C22semidirect
64. #400×C137C22semidirect
66. #398×C137C22semidirect
67. #398×C137C22semidirect
73. #397×C137C22semidirect
74. #397×C137C22semidirect
75. #397×C137C22semidirect
76. #397×C137C22semidirect
77. #397×C137C22semidirect
81. #396×C137C22semidirect
82. #396×C137C22semidirect
83. #396×C137C22semidirect
84. #396×C137C22semidirect
93. #394×C137C22semidirect
94. #394×C137C22semidirect
102. #392×C137C22semidirect
103. #392×C137C22semidirect
104. #392×C137C22semidirect
108. #390×C137C22semidirect
109. #390×C137C22semidirect
110. #389×C137C22semidirect
111. #389×C137C22semidirect
117. #388×C137C22semidirect
118. #388×C137C22semidirect
119. #388×C137C22semidirect
120. #388×C137C22semidirect
121. #388×C137C22semidirect
122. #388×C137C22semidirect
123. #388×C137C22semidirect
124. #387×C137C22semidirect
125. #387×C137C22semidirect
126. #387×C137C22semidirect
127. #387×C137C22semidirect
128. #387×C137C22semidirect
129. #387×C137C22semidirect
130. #387×C137C22semidirect
152. #386×C137C22semidirect
153. #386×C137C22semidirect
154. #386×C137C22semidirect
155. #386×C137C22semidirect
156. #386×C137C22semidirect
157. #386×C137C22semidirect
158. #386×C137C22semidirect
166. #385×C137C22semidirect
167. #385×C137C22semidirect
168. #385×C137C22semidirect
169. #385×C137C22semidirect
170. #385×C137C22semidirect
171. #382×C137C22semidirect
174. #381×C137C22semidirect
178. #380×C137C22semidirect
179. #380×C137C22semidirect
185. #376×C137C22semidirect
186. C2×#95×C137C22semidirect
836. #36856C137direct (N × H)
837. C137#36856direct (N × H)
838. #2849C2×C137semidirect
839. #2847C2×C137semidirect
840. #2797C2×C137semidirect
841. #2782C2×C137semidirect
842. #2780C2×C137semidirect
843. #2750C2×C137semidirect
844. #2744C2×C137semidirect
845. #2708C2×C137semidirect
846. #2697C2×C137semidirect
847. #2693C2×C137semidirect
848. #2693C2×C137semidirect
849. #2688C2×C137semidirect
850. #2688C2×C137semidirect
851. #2682C2×C137semidirect
852. #2678C2×C137semidirect
853. #2673C2×C137semidirect
854. #2669C2×C137semidirect
855. #2668C2×C137semidirect
856. #2649C2×C137semidirect
857. #2648C2×C137semidirect
858. #2530C2×C137semidirect
859. #2526C2×C137semidirect
860. #2464C2×C137semidirect
861. #2457C2×C137semidirect
862. #2456C2×C137semidirect
863. #2456C2×C137semidirect
864. #2444C2×C137semidirect
865. #2425C2×C137semidirect
866. #2328C2×C137semidirect
867. #2325C2×C137semidirect
868. C4×#120C2×C137semidirect
875. C2×#123C22×C137semidirect
876. C2×#123C22×C137semidirect
892. C2×C4×D4C22×C137semidirect
893. C2×C4×D4C22×C137semidirect
894. #400C22×C137semidirect
895. #400C22×C137semidirect
896. #400C22×C137semidirect
897. #400C22×C137semidirect
898. #400C22×C137semidirect
899. #400C22×C137semidirect
900. #400C22×C137semidirect
901. #400C22×C137semidirect
903. #398C22×C137semidirect
904. #398C22×C137semidirect
910. #397C22×C137semidirect
911. #397C22×C137semidirect
912. #397C22×C137semidirect
913. #397C22×C137semidirect
914. #397C22×C137semidirect
918. #396C22×C137semidirect
919. #396C22×C137semidirect
920. #396C22×C137semidirect
921. #396C22×C137semidirect
930. #394C22×C137semidirect
931. #394C22×C137semidirect
939. #392C22×C137semidirect
940. #392C22×C137semidirect
941. #392C22×C137semidirect
945. #390C22×C137semidirect
946. #390C22×C137semidirect
947. #389C22×C137semidirect
948. #389C22×C137semidirect
954. #388C22×C137semidirect
955. #388C22×C137semidirect
956. #388C22×C137semidirect
957. #388C22×C137semidirect
958. #388C22×C137semidirect
959. #388C22×C137semidirect
960. #388C22×C137semidirect
961. #387C22×C137semidirect
962. #387C22×C137semidirect
963. #387C22×C137semidirect
964. #387C22×C137semidirect
965. #387C22×C137semidirect
966. #387C22×C137semidirect
967. #387C22×C137semidirect
989. #386C22×C137semidirect
990. #386C22×C137semidirect
991. #386C22×C137semidirect
992. #386C22×C137semidirect
993. #386C22×C137semidirect
994. #386C22×C137semidirect
995. #386C22×C137semidirect
1003. #385C22×C137semidirect
1004. #385C22×C137semidirect
1005. #385C22×C137semidirect
1006. #385C22×C137semidirect
1007. #385C22×C137semidirect
1008. #382C22×C137semidirect
1011. #381C22×C137semidirect
1015. #380C22×C137semidirect
1016. #380C22×C137semidirect
1022. #376C22×C137semidirect
1023. C2×#95C22×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
#2797×C1372
#2782×C1372
#2780×C1372
#2750×C1372
#2744×C1372
#2708×C1372
#2697×C1372
#2693×C1372
#2688×C1372
#2682×C1372
#2678×C1372
#2673×C1372
#2669×C1372
#2668×C1372
#2649×C1372
#2648×C1372
#2530×C1372
#2526×C1372
#2464×C1372
#2457×C1372
#2456×C1372
#2444×C1372
#2425×C1372
#2328×C1372
#2325×C1372
C4×#120×C1372
#36856137