Finite Group Databasebeta

← C137×#36791 #46886177

Subgroups — C137×#36791 #46886177

Order 35072.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 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#2804×C137C211yesmaximal, characteristic, complemented
4#2797×C137C211yesmaximal, characteristic, complemented
5#2788×C137C211yesmaximal, characteristic, complemented
6#2784×C137C211yesmaximal, characteristic, complemented
7#2780×C137C211yesmaximal, characteristic, complemented
8#2778×C137C211yesmaximal, characteristic, complemented
9#2751×C137C211yesmaximal, characteristic, complemented
10#2750×C137C211yesmaximal, characteristic, complemented
11#2745×C137C211yesmaximal, characteristic, complemented
12#2714×C137C211yesmaximal, characteristic, complemented
13#2710×C137C211yesmaximal, characteristic, complemented
14#2708×C137C211yesmaximal, characteristic, complemented
15#2708×C137C211yesmaximal, characteristic, complemented
16#2695×C137C211yesmaximal, characteristic, complemented
17#2686×C137C211yesmaximal, characteristic, complemented
18#2682×C137C211yesmaximal, characteristic, complemented
19#2643×C137C211yesmaximal, characteristic, complemented
20#2639×C137C211yesmaximal, characteristic, complemented
21#2481×C137C211yesmaximal, characteristic, complemented
22#2472×C137C211yesmaximal, characteristic, complemented
23#2443×C137C211yesmaximal, characteristic, complemented
24#2438×C137C211yesmaximal, characteristic, complemented
25#2430×C137C211yesmaximal, characteristic, complemented
26#2424×C137C211yesmaximal, characteristic, complemented
27#2411×C137C211yesmaximal, characteristic, complemented
28#2404×C137C211yesmaximal, characteristic, complemented
29#2322×C137C211yesmaximal, characteristic, complemented
30#2311×C137C211yesmaximal, characteristic, complemented
31C2×#385×C137C211yesmaximal, characteristic, complemented
32C22×#41×C137C2211yescharacteristic
33C24×C4×C137C2211yescharacteristic
34C2×#126×C137C2211yescharacteristic, complemented
35C2×#124×C137C2211yescharacteristic
36C2×#123×C137C2211yescharacteristic
37C2×#123×C137C2211yescharacteristic
38C2×#123×C137C2211yescharacteristic
39C2×#123×C137C2211yescharacteristic, complemented
40C2×C22⋊Q8×C137C2211yescharacteristic
41C2×#121×C137C2211yescharacteristic
42C2×#121×C137C2211yescharacteristic
43C2×#121×C137C2211yescharacteristic
44C2×#121×C137C2211yescharacteristic
45C2×#121×C137C2211yescharacteristic
46C2×#120×C137C2211yescharacteristic
47C2×#120×C137C2211yescharacteristic
48C2×#120×C137C2211yescharacteristic
49C2×C4×D4×C137C2211yescharacteristic
50C2×#117×C137C2211yescharacteristic
51C22×C4⋊C4×C137C2211yescharacteristic
52C22×C4⋊C4×C137C2211yescharacteristic
53C22×C22⋊C4×C137C2211yescharacteristic
54C22×C22⋊C4×C137C2211yescharacteristic
55#401×C137C2211yescharacteristic, complemented
56#400×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#399×C137C2211yescharacteristic, complemented
65#398×C137C2211yescharacteristic, complemented
66#398×C137C2211yescharacteristic, complemented
67#398×C137C2211yescharacteristic, complemented
68#397×C137C2211yescharacteristic
69#397×C137C2211yescharacteristic, complemented
70#397×C137C2211yescharacteristic, complemented
71#397×C137C2211yescharacteristic, complemented
72#397×C137C2211yescharacteristic, complemented
73#397×C137C2211yescharacteristic, complemented
74#397×C137C2211yescharacteristic, complemented
75#397×C137C2211yescharacteristic, complemented
76#396×C137C2211yescharacteristic
77#396×C137C2211yescharacteristic
78#396×C137C2211yescharacteristic
79#396×C137C2211yescharacteristic, complemented
80#396×C137C2211yescharacteristic, complemented
81#395×C137C2211yescharacteristic, complemented
82#395×C137C2211yescharacteristic, complemented
83#394×C137C2211yescharacteristic
84#394×C137C2211yescharacteristic
85#394×C137C2211yescharacteristic
86#394×C137C2211yescharacteristic
87#394×C137C2211yescharacteristic
88#394×C137C2211yescharacteristic
89#394×C137C2211yescharacteristic, complemented
90#394×C137C2211yescharacteristic, complemented
91#394×C137C2211yescharacteristic, complemented
92#394×C137C2211yescharacteristic, complemented
93#393×C137C2211yescharacteristic
94#393×C137C2211yescharacteristic
95#393×C137C2211yescharacteristic
96#393×C137C2211yescharacteristic, complemented
97#393×C137C2211yescharacteristic, complemented
98#393×C137C2211yescharacteristic, complemented
99#392×C137C2211yescharacteristic
100#392×C137C2211yescharacteristic
101#392×C137C2211yescharacteristic
102#392×C137C2211yescharacteristic, complemented
103#391×C137C2211yescharacteristic, complemented
104#391×C137C2211yescharacteristic, complemented
105#391×C137C2211yescharacteristic, complemented
106#390×C137C2211yescharacteristic
107#390×C137C2211yescharacteristic
108#390×C137C2211yescharacteristic
109#390×C137C2211yescharacteristic
110#390×C137C2211yescharacteristic, complemented
111#390×C137C2211yescharacteristic, complemented
112#389×C137C2211yescharacteristic, complemented
113#389×C137C2211yescharacteristic, complemented
114#389×C137C2211yescharacteristic, complemented
115#388×C137C2211yescharacteristic
116#388×C137C2211yescharacteristic
117#388×C137C2211yescharacteristic
118#388×C137C2211yescharacteristic
119#388×C137C2211yescharacteristic
120#388×C137C2211yescharacteristic, 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#385×C137C2211yescharacteristic
155#385×C137C2211yescharacteristic
156#385×C137C2211yescharacteristic
157#385×C137C2211yescharacteristic
158#385×C137C2211yescharacteristic
159#385×C137C2211yescharacteristic
160#385×C137C2211yescharacteristic
161#385×C137C2211yescharacteristic
162#385×C137C2211yescharacteristic
163#385×C137C2211yescharacteristic
164#385×C137C2211yescharacteristic
165#385×C137C2211yescharacteristic
166#385×C137C2211yescharacteristic
167#385×C137C2211yescharacteristic
168#385×C137C2211yescharacteristic, complemented
169#385×C137C2211yescharacteristic, complemented
170#385×C137C2211yescharacteristic, complemented
171#385×C137C2211yescharacteristic, complemented
172#385×C137C2211yescharacteristic, complemented
173#381×C137C2211yescharacteristic
174#381×C137C2211yescharacteristic
175#381×C137C2211yescharacteristic
176#380×C137C2211yescharacteristic
177#380×C137C2211yescharacteristic
178#380×C137C2211yescharacteristic
179#380×C137C2211yescharacteristic, complemented
180#380×C137C2211yescharacteristic, complemented
181#380×C137C2211yescharacteristic, complemented
182#380×C137C2211yescharacteristic, complemented
183#379×C137C2211yescharacteristic
184C4×C22⋊C4×C137C2211yescharacteristic
185C2×#95×C137C2211yescharacteristic
186C2×#95×C137C2211yescharacteristic
187C25×C137C2311yescharacteristic
188C2×#41×C137—24no—
189C2×#41×C137—42no—
190C2×#41×C137—42no—
191C22×Q8×C137C2311yescharacteristic
192C22×Q8×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
205C23×C4×C137—42no—
206C23×C4×C137—42no—
207C23×C4×C137—42no—
208C23×C4×C137C2311yescharacteristic
209C23×C4×C137C2311yescharacteristic
210C23×C4×C137C2311yescharacteristic
211C23×C4×C137C2311yescharacteristic
212C23×C4×C137C2311yescharacteristic
213C23×C4×C137C2311yescharacteristic
214C23×C4×C137C2311yescharacteristic
215C23×C4×C137C2311yescharacteristic
216C23×C4×C137C2311yescharacteristic
217C23×C4×C137C2311yescharacteristic
218C23×C4×C137C2311yescharacteristic
219C23×C4×C137C2311yescharacteristic
220C23×C4×C137C2311yescharacteristic
221#126×C137—42no—
222#124×C137—42no—
223#123×C137—24no—
224#123×C137—42no—
225#123×C137—42no—
226#123×C137—42no—
227C22⋊Q8×C137—42no—
228#121×C137—42no—
229#121×C137—42no—
230#121×C137—42no—
231#121×C137—42no—
232#121×C137—42no—
233#120×C137—42no—
234#120×C137—42no—
235#120×C137—42no—
236C4×D4×C137—42no—
237#117×C137—42no—
238C2×C4⋊C4×C137—42no—
239C2×C4⋊C4×C137—42no—
240C2×C4⋊C4×C137C2311yescharacteristic
241C2×C4⋊C4×C137C2311yescharacteristic
242C2×C4⋊C4×C137C2311yescharacteristic
243C2×C4⋊C4×C137C2311yescharacteristic
244C2×C4⋊C4×C137C2311yescharacteristic
245C2×C4⋊C4×C137C2311yescharacteristic
246C2×C4⋊C4×C137C2311yescharacteristic
247C2×C4⋊C4×C137C2311yescharacteristic
248C2×C4⋊C4×C137C2311yescharacteristic
249C2×C4⋊C4×C137C2311yescharacteristic
250C2×C4⋊C4×C137C2311yescharacteristic
251C2×C4⋊C4×C137C2311yescharacteristic
252C2×C4⋊C4×C137C2311yescharacteristic
253C2×C4⋊C4×C137C2311yescharacteristic
254C2×C4⋊C4×C137C2311yescharacteristic
255C2×C4⋊C4×C137C2311yescharacteristic
256C2×C4⋊C4×C137C2311yescharacteristic
257C2×C4⋊C4×C137C2311yescharacteristic
258C2×C4⋊C4×C137C2311yescharacteristic
259C2×C4⋊C4×C137C2311yescharacteristic
260C2×C4⋊C4×C137C2311yescharacteristic
261C2×C4⋊C4×C137C2311yescharacteristic
262C2×C4⋊C4×C137C2311yescharacteristic
263C2×C4⋊C4×C137C2311yescharacteristic
264C2×C4⋊C4×C137C2311yescharacteristic
265C2×C4⋊C4×C137C2311yescharacteristic
266C2×C4⋊C4×C137C2311yescharacteristic
267C2×C4⋊C4×C137C2311yescharacteristic
268C2×C22⋊C4×C137—24no—
269C2×C22⋊C4×C137—42no—
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×C42×C137C2311yescharacteristic
321C2×C42×C137C2311yescharacteristic
322C2×C42×C137C2311yescharacteristic
323C2×C42×C137C2311yescharacteristic
324C2×C42×C137C2311yescharacteristic
325#95×C137C2311yescharacteristic
326#95×C137C2311yescharacteristic
327#95×C137C2311yescharacteristic
328#95×C137C2311yescharacteristic
329#95×C137C2311yescharacteristic
330#95×C137C2311yescharacteristic
331#95×C137C2311yescharacteristic
332#95×C137C2311yescharacteristic
333#95×C137C2311yescharacteristic
334#95×C137C2311yescharacteristic
335#95×C137C2311yescharacteristic
336#95×C137C2311yescharacteristic
337#95×C137C2311yescharacteristic
338#95×C137C2311yescharacteristic
339#95×C137C2311yescharacteristic
340#95×C137C2311yescharacteristic
341#95×C137C2311yescharacteristic
342#95×C137C2311yescharacteristic
343#95×C137C2311yescharacteristic
344#95×C137C2311yescharacteristic
345#95×C137C2311yescharacteristic
346#95×C137C2311yescharacteristic
347#95×C137C2311yescharacteristic
348#95×C137C2311yescharacteristic
349#95×C137C2311yescharacteristic
350#95×C137C2311yescharacteristic
351#95×C137C2311yescharacteristic
352#95×C137C2311yescharacteristic
353#95×C137C2311yescharacteristic
354#95×C137C2311yescharacteristic
355#95×C137C2311yescharacteristic
356#95×C137C2311yescharacteristic
357#95×C137C2311yescharacteristic
358#95×C137C2311yescharacteristic
359#95×C137C2311yescharacteristic
360#95×C137C2311yescharacteristic
361#95×C137C2311yescharacteristic
362#95×C137C2311yescharacteristic
363#95×C137C2311yescharacteristic
364#95×C137C2311yescharacteristic
365#95×C137C2311yescharacteristic
366#95×C137C2311yescharacteristic
367#95×C137C2311yescharacteristic
368#95×C137C2311yescharacteristic
369C24×C137—22no—
370C24×C137—22no—
371C24×C137—22no—
372C24×C137—22no—
373C24×C137—22no—
374C24×C137—41no—
375C24×C137—41no—
376C24×C137C2411yescharacteristic
377C24×C137C2411yescharacteristic
378C24×C137C2411yescharacteristic
379C24×C137C2411yescharacteristic
380C24×C137C2411yescharacteristic
381C24×C137C2411yescharacteristic
382#41×C137—416no—
383C2×Q8×C137—22no—
384C2×Q8×C137—41no—
385C2×Q8×C137—41no—
386C2×Q8×C137—41no—
387C2×Q8×C137—41no—
388C2×Q8×C137—41no—
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—22no—
402C2×D4×C137—22no—
403C2×D4×C137—22no—
404C2×D4×C137—22no—
405C2×D4×C137—22no—
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—
425C22×C4×C137—22no—
426C22×C4×C137—22no—
427C22×C4×C137—22no—
428C22×C4×C137—22no—
429C22×C4×C137—22no—
430C22×C4×C137—22no—
431C22×C4×C137—22no—
432C22×C4×C137—22no—
433C22×C4×C137—22no—
434C22×C4×C137—22no—
435C22×C4×C137—22no—
436C22×C4×C137—22no—
437C22×C4×C137—22no—
438C22×C4×C137—22no—
439C22×C4×C137—41no—
440C22×C4×C137—41no—
441C22×C4×C137—41no—
442C22×C4×C137—41no—
443C22×C4×C137—41no—
444C22×C4×C137—41no—
445C22×C4×C137—41no—
446C22×C4×C137—41no—
447C22×C4×C137—41no—
448C22×C4×C137—41no—
449C22×C4×C137—41no—
450C22×C4×C137—41no—
451C22×C4×C137—41no—
452C22×C4×C137—41no—
453C22×C4×C137—41no—
454C22×C4×C137—41no—
455C22×C4×C137—41no—
456C22×C4×C137—41no—
457C22×C4×C137—41no—
458C22×C4×C137—41no—
459C22×C4×C137—41no—
460C22×C4×C137—41no—
461C22×C4×C137—41no—
462C22×C4×C137—41no—
463C22×C4×C137—416no—
464C22×C4×C137#4114yes—
465C22×C4×C137C2411yescharacteristic
466C22×C4×C137C2411yescharacteristic
467C22×C4×C137C2411yescharacteristic
468C22×C4×C137C2411yescharacteristic
469C22×C4×C137C2411yescharacteristic
470C22×C4×C137C2411yescharacteristic
471C22×C4×C137C2411yescharacteristic
472C22×C4×C137C2411yescharacteristic
473C22×C4×C137C2411yescharacteristic
474C22×C4×C137C2411yescharacteristic
475C22×C4×C137C2411yescharacteristic
476C22×C4×C137C2411yescharacteristic
477C22×C4×C137C2411yescharacteristic
478C22×C4×C137C2411yescharacteristic
479C22×C4×C137C2411yescharacteristic
480C22×C4×C137C2411yescharacteristic
481C22×C4×C137C2411yescharacteristic
482C22×C4×C137C2411yescharacteristic
483C22×C4×C137C2411yescharacteristic
484C22×C4×C137C2411yescharacteristic
485C22×C4×C137C2411yescharacteristic
486C22×C4×C137C2411yescharacteristic
487C22×C4×C137C2411yescharacteristic
488C22×C4×C137C2411yescharacteristic
489C22×C4×C137C2411yescharacteristic
490C4⋊C4×C137—22no—
491C4⋊C4×C137—22no—
492C4⋊C4×C137—22no—
493C4⋊C4×C137—22no—
494C4⋊C4×C137—22no—
495C4⋊C4×C137—22no—
496C4⋊C4×C137—41no—
497C4⋊C4×C137—41no—
498C4⋊C4×C137—41no—
499C4⋊C4×C137—41no—
500C4⋊C4×C137—41no—
501C4⋊C4×C137—41no—
502C4⋊C4×C137—41no—
503C4⋊C4×C137—41no—
504C4⋊C4×C137—41no—
505C4⋊C4×C137—41no—
506C4⋊C4×C137—41no—
507C4⋊C4×C137—41no—
508C4⋊C4×C137—41no—
509C4⋊C4×C137—41no—
510C4⋊C4×C137—41no—
511C4⋊C4×C137—41no—
512C4⋊C4×C137—41no—
513C4⋊C4×C137—41no—
514C4⋊C4×C137—41no—
515C4⋊C4×C137—41no—
516C4⋊C4×C137—41no—
517C4⋊C4×C137—41no—
518C22⋊C4×C137—22no—
519C22⋊C4×C137—22no—
520C22⋊C4×C137—22no—
521C22⋊C4×C137—22no—
522C22⋊C4×C137—22no—
523C22⋊C4×C137—22no—
524C22⋊C4×C137—22no—
525C22⋊C4×C137—22no—
526C22⋊C4×C137—22no—
527C22⋊C4×C137—22no—
528C22⋊C4×C137—22no—
529C22⋊C4×C137—22no—
530C22⋊C4×C137—22no—
531C22⋊C4×C137—22no—
532C22⋊C4×C137—22no—
533C22⋊C4×C137—22no—
534C22⋊C4×C137—41no—
535C22⋊C4×C137—41no—
536C22⋊C4×C137—41no—
537C22⋊C4×C137—41no—
538C22⋊C4×C137—41no—
539C22⋊C4×C137—41no—
540C22⋊C4×C137—41no—
541C22⋊C4×C137—41no—
542C22⋊C4×C137—41no—
543C22⋊C4×C137—41no—
544C22⋊C4×C137—41no—
545C22⋊C4×C137—41no—
546C22⋊C4×C137—41no—
547C22⋊C4×C137—41no—
548C22⋊C4×C137—41no—
549C22⋊C4×C137—41no—
550C22⋊C4×C137—41no—
551C22⋊C4×C137—41no—
552C22⋊C4×C137—41no—
553C22⋊C4×C137—41no—
554C22⋊C4×C137—41no—
555C22⋊C4×C137—41no—
556C22⋊C4×C137—41no—
557C22⋊C4×C137—41no—
558C22⋊C4×C137—41no—
559C22⋊C4×C137—41no—
560C22⋊C4×C137—41no—
561C22⋊C4×C137—41no—
562C22⋊C4×C137—41no—
563C22⋊C4×C137—41no—
564C22⋊C4×C137—41no—
565C22⋊C4×C137—41no—
566C22⋊C4×C137—41no—
567C22⋊C4×C137—41no—
568C42×C137—41no—
569C42×C137—41no—
570C42×C137—41no—
571C42×C137—41no—
572C42×C137—41no—
573C23×C137—21no—
574C23×C137—21no—
575C23×C137—21no—
576C23×C137—21no—
577C23×C137—28no—
578C23×C137—21no—
579C23×C137—21no—
580C23×C137—21no—
581C23×C137—21no—
582C23×C137—21no—
583C23×C137—21no—
584C23×C137—21no—
585C23×C137—21no—
586C23×C137—21no—
587C23×C137—21no—
588C23×C137—21no—
589C23×C137—21no—
590C23×C137—21no—
591C23×C137—21no—
592C23×C137—21no—
593C23×C137—21no—
594C23×C137—21no—
595C23×C137—21no—
596C23×C137—21no—
597C23×C137—21no—
598C23×C137—21no—
599C23×C137—21no—
600C23×C137—21no—
601C23×C137—21no—
602C23×C137—21no—
603C23×C137—21no—
604C23×C137—21no—
605C23×C137—21no—
606C23×C137—21no—
607C23×C137—21no—
608C23×C137—21no—
609C23×C137—21no—
610C23×C137—21no—
611C23×C137—44no—
612C23×C137—44no—
613C23×C137—44no—
614C23×C137—44no—
615C23×C137—44no—
616C23×C137—44no—
617C23×C137C2×#4112yes—
618C23×C137H(5,𝔽2)12yes—
619C23×C137H(5,𝔽2)12yes—
620C23×C137H(5,𝔽2)12yes—
621C23×C1372−1+412yes—
622C23×C137C2511yescharacteristic
623Q8×C137—44no—
624Q8×C137—82no—
625D4×C137—44no—
626D4×C137—44no—
627D4×C137—44no—
628D4×C137—44no—
629D4×C137—82no—
630D4×C137—82no—
631D4×C137—82no—
632D4×C137—82no—
633D4×C137—82no—
634D4×C137—82no—
635D4×C137—82no—
636D4×C137—82no—
637C2×C4×C137—28no—
638C2×C4×C137—21no—
639C2×C4×C137—21no—
640C2×C4×C137—21no—
641C2×C4×C137—21no—
642C2×C4×C137—21no—
643C2×C4×C137—21no—
644C2×C4×C137—21no—
645C2×C4×C137—21no—
646C2×C4×C137—21no—
647C2×C4×C137—21no—
648C2×C4×C137—21no—
649C2×C4×C137—21no—
650C2×C4×C137—21no—
651C2×C4×C137—21no—
652C2×C4×C137—21no—
653C2×C4×C137—21no—
654C2×C4×C137—21no—
655C2×C4×C137—21no—
656C2×C4×C137—21no—
657C2×C4×C137—21no—
658C2×C4×C137—21no—
659C2×C4×C137—21no—
660C2×C4×C137—21no—
661C2×C4×C137—21no—
662C2×C4×C137—21no—
663C2×C4×C137—21no—
664C2×C4×C137—21no—
665C2×C4×C137—21no—
666C2×C4×C137—21no—
667C2×C4×C137—21no—
668C2×C4×C137—21no—
669C2×C4×C137—21no—
670C2×C4×C137—21no—
671C2×C4×C137—21no—
672C2×C4×C137—21no—
673C2×C4×C137—21no—
674C2×C4×C137—21no—
675C2×C4×C137—21no—
676C2×C4×C137—21no—
677C2×C4×C137—21no—
678C2×C4×C137—21no—
679C2×C4×C137—21no—
680C2×C4×C137—21no—
681C2×C4×C137—21no—
682C2×C4×C137—21no—
683C2×C4×C137—21no—
684C2×C4×C137—21no—
685C2×C4×C137—21no—
686C2×C4×C137—21no—
687C2×C4×C137—21no—
688C2×C4×C137—21no—
689C2×C4×C137—21no—
690C2×C4×C137—21no—
691C2×C4×C137—21no—
692C2×C4×C137—21no—
693C2×C4×C137—21no—
694C2×C4×C137—21no—
695C2×C4×C137—21no—
696C2×C4×C137—21no—
697C2×C4×C137—21no—
698C2×C4×C137—21no—
699C2×C4×C137—21no—
700C2×C4×C137—21no—
701C2×C4×C137—21no—
702C2×C4×C137—21no—
703C2×C4×C137—21no—
704C2×C4×C137—21no—
705C2×C4×C137—21no—
706C2×C4×C137—21no—
707C2×C4×C137—21no—
708C2×C4×C137—21no—
709C2×C4×C137—21no—
710C2×C4×C137—44no—
711C2×C4×C137—44no—
712C2×C4×C137—44no—
713C2×C4×C137—44no—
714C2×C4×C137—44no—
715C2×C4×C137—44no—
716C2×C4×C137—44no—
717C2×C4×C137—44no—
718C2×C4×C137—44no—
719C2×C4×C137—82no—
720C2×C4×C137—82no—
721C2×C4×C137—82no—
722C2×C4×C137C2×#4112yes—
723C2×C4×C137C2×#4112yes—
724C2×C4×C137H(5,𝔽2)12yes—
725C22×C137—22no—
726C22×C137—22no—
727C22×C137—22no—
728C22×C137—22no—
729C22×C137—22no—
730C22×C137—22no—
731C22×C137—22no—
732C22×C137—22no—
733C22×C137—22no—
734C22×C137—22no—
735C22×C137—22no—
736C22×C137—22no—
737C22×C137—416no—
738C22×C137—41no—
739C22×C137—41no—
740C22×C137—41no—
741C22×C137—41no—
742C22×C137—41no—
743C22×C137—41no—
744C22×C137—41no—
745C22×C137—41no—
746C22×C137—41no—
747C22×C137—41no—
748C22×C137—41no—
749C22×C137—41no—
750C22×C137—41no—
751C22×C137—41no—
752C22×C137—41no—
753C22×C137—41no—
754C22×C137—41no—
755C22×C137—41no—
756C22×C137—41no—
757C22×C137—41no—
758C22×C137—41no—
759C22×C137—41no—
760C22×C137—41no—
761C22×C137—41no—
762C22×C137—41no—
763C22×C137—41no—
764C22×C137—41no—
765C22×C137—41no—
766C22×C137—41no—
767C22×C137#53814yes—
768C22×C137C22×#4111yescharacteristic
769C22×C137C2×H(5,𝔽2)11yescharacteristic
770C22×C137C2×H(5,𝔽2)11yescharacteristic
771C22×C137C2×H(5,𝔽2)11yescharacteristic
772C22×C137C2×H(5,𝔽2)11yescharacteristic
773C22×C137C2×2−1+411yescharacteristic
774C22×C137#58511yescharacteristic
775C4×C137—22no—
776C4×C137—22no—
777C4×C137—22no—
778C4×C137—41no—
779C4×C137—41no—
780C4×C137—41no—
781C4×C137—41no—
782C4×C137—41no—
783C4×C137—41no—
784C4×C137—41no—
785C4×C137—41no—
786C4×C137—41no—
787C4×C137—41no—
788C4×C137—41no—
789C4×C137—41no—
790C4×C137—41no—
791C4×C137—41no—
792C4×C137—41no—
793C4×C137—41no—
794C4×C137—41no—
795C4×C137—41no—
796C4×C137—41no—
797C4×C137—41no—
798C4×C137—41no—
799C4×C137—41no—
800C2×C137—24no—
801C2×C137—42no—
802C2×C137—42no—
803C2×C137—81no—
804C2×C137—81no—
805C2×C137—81no—
806C2×C137C2×#53811yescharacteristic
807C2×C137#349211yescharacteristic
808C2×C137#350611yescharacteristic
809C2×C137#353211yescharacteristic
810C2×C137#353411yescharacteristic
811C2×C137#353511yescharacteristic
812C2×C137#353611yescharacteristic
813#36791C13711yesmaximal, characteristic, direct product factor, Sylow
814C137#3679111yescharacteristic, direct product factor, Sylow
815#2849C2×C13711yescharacteristic, complemented
816#2847C2×C13711yescharacteristic, complemented
817#2804C2×C13711yescharacteristic, complemented
818#2797C2×C13711yescharacteristic, complemented
819#2788C2×C13711yescharacteristic, complemented
820#2784C2×C13711yescharacteristic, complemented
821#2780C2×C13711yescharacteristic, complemented
822#2778C2×C13711yescharacteristic, complemented
823#2751C2×C13711yescharacteristic, complemented
824#2750C2×C13711yescharacteristic, complemented
825#2745C2×C13711yescharacteristic, complemented
826#2714C2×C13711yescharacteristic, complemented
827#2710C2×C13711yescharacteristic, complemented
828#2708C2×C13711yescharacteristic, complemented
829#2708C2×C13711yescharacteristic, complemented
830#2695C2×C13711yescharacteristic, complemented
831#2686C2×C13711yescharacteristic, complemented
832#2682C2×C13711yescharacteristic, complemented
833#2643C2×C13711yescharacteristic, complemented
834#2639C2×C13711yescharacteristic, complemented
835#2481C2×C13711yescharacteristic, complemented
836#2472C2×C13711yescharacteristic, complemented
837#2443C2×C13711yescharacteristic, complemented
838#2438C2×C13711yescharacteristic, complemented
839#2430C2×C13711yescharacteristic, complemented
840#2424C2×C13711yescharacteristic, complemented
841#2411C2×C13711yescharacteristic, complemented
842#2404C2×C13711yescharacteristic, complemented
843#2322C2×C13711yescharacteristic, complemented
844#2311C2×C13711yescharacteristic, complemented
845C2×#385C2×C13711yescharacteristic, complemented
846C22×#41C22×C13711yescharacteristic
847C24×C4C22×C13711yescharacteristic
848C2×#126C22×C13711yescharacteristic, complemented
849C2×#124C22×C13711yescharacteristic
850C2×#123C22×C13711yescharacteristic
851C2×#123C22×C13711yescharacteristic
852C2×#123C22×C13711yescharacteristic
853C2×#123C22×C13711yescharacteristic, complemented
854C2×C22⋊Q8C22×C13711yescharacteristic
855C2×#121C22×C13711yescharacteristic
856C2×#121C22×C13711yescharacteristic
857C2×#121C22×C13711yescharacteristic
858C2×#121C22×C13711yescharacteristic
859C2×#121C22×C13711yescharacteristic
860C2×#120C22×C13711yescharacteristic
861C2×#120C22×C13711yescharacteristic
862C2×#120C22×C13711yescharacteristic
863C2×C4×D4C22×C13711yescharacteristic
864C2×#117C22×C13711yescharacteristic
865C22×C4⋊C4C22×C13711yescharacteristic
866C22×C4⋊C4C22×C13711yescharacteristic
867C22×C22⋊C4C22×C13711yescharacteristic
868C22×C22⋊C4C22×C13711yescharacteristic
869#401C22×C13711yescharacteristic, complemented
870#400C22×C13711yescharacteristic, complemented
871#400C22×C13711yescharacteristic, complemented
872#400C22×C13711yescharacteristic, complemented
873#400C22×C13711yescharacteristic, complemented
874#400C22×C13711yescharacteristic, complemented
875#400C22×C13711yescharacteristic, complemented
876#400C22×C13711yescharacteristic, complemented
877#400C22×C13711yescharacteristic, complemented
878#399C22×C13711yescharacteristic, complemented
879#398C22×C13711yescharacteristic, complemented
880#398C22×C13711yescharacteristic, complemented
881#398C22×C13711yescharacteristic, complemented
882#397C22×C13711yescharacteristic
883#397C22×C13711yescharacteristic, complemented
884#397C22×C13711yescharacteristic, complemented
885#397C22×C13711yescharacteristic, complemented
886#397C22×C13711yescharacteristic, complemented
887#397C22×C13711yescharacteristic, complemented
888#397C22×C13711yescharacteristic, complemented
889#397C22×C13711yescharacteristic, complemented
890#396C22×C13711yescharacteristic
891#396C22×C13711yescharacteristic
892#396C22×C13711yescharacteristic
893#396C22×C13711yescharacteristic, complemented
894#396C22×C13711yescharacteristic, complemented
895#395C22×C13711yescharacteristic, complemented
896#395C22×C13711yescharacteristic, complemented
897#394C22×C13711yescharacteristic
898#394C22×C13711yescharacteristic
899#394C22×C13711yescharacteristic
900#394C22×C13711yescharacteristic
901#394C22×C13711yescharacteristic
902#394C22×C13711yescharacteristic
903#394C22×C13711yescharacteristic, complemented
904#394C22×C13711yescharacteristic, complemented
905#394C22×C13711yescharacteristic, complemented
906#394C22×C13711yescharacteristic, complemented
907#393C22×C13711yescharacteristic
908#393C22×C13711yescharacteristic
909#393C22×C13711yescharacteristic
910#393C22×C13711yescharacteristic, complemented
911#393C22×C13711yescharacteristic, complemented
912#393C22×C13711yescharacteristic, complemented
913#392C22×C13711yescharacteristic
914#392C22×C13711yescharacteristic
915#392C22×C13711yescharacteristic
916#392C22×C13711yescharacteristic, complemented
917#391C22×C13711yescharacteristic, complemented
918#391C22×C13711yescharacteristic, complemented
919#391C22×C13711yescharacteristic, complemented
920#390C22×C13711yescharacteristic
921#390C22×C13711yescharacteristic
922#390C22×C13711yescharacteristic
923#390C22×C13711yescharacteristic
924#390C22×C13711yescharacteristic, complemented
925#390C22×C13711yescharacteristic, complemented
926#389C22×C13711yescharacteristic, complemented
927#389C22×C13711yescharacteristic, complemented
928#389C22×C13711yescharacteristic, complemented
929#388C22×C13711yescharacteristic
930#388C22×C13711yescharacteristic
931#388C22×C13711yescharacteristic
932#388C22×C13711yescharacteristic
933#388C22×C13711yescharacteristic
934#388C22×C13711yescharacteristic, complemented
935#388C22×C13711yescharacteristic, complemented
936#388C22×C13711yescharacteristic, complemented
937#388C22×C13711yescharacteristic, complemented
938#387C22×C13711yescharacteristic, complemented
939#387C22×C13711yescharacteristic, complemented
940#387C22×C13711yescharacteristic, complemented
941#387C22×C13711yescharacteristic, complemented
942#387C22×C13711yescharacteristic, complemented
943#387C22×C13711yescharacteristic, complemented
944#387C22×C13711yescharacteristic, complemented
945#386C22×C13711yescharacteristic
946#386C22×C13711yescharacteristic
947#386C22×C13711yescharacteristic
948#386C22×C13711yescharacteristic
949#386C22×C13711yescharacteristic
950#386C22×C13711yescharacteristic
951#386C22×C13711yescharacteristic
952#386C22×C13711yescharacteristic
953#386C22×C13711yescharacteristic
954#386C22×C13711yescharacteristic
955#386C22×C13711yescharacteristic
956#386C22×C13711yescharacteristic
957#386C22×C13711yescharacteristic
958#386C22×C13711yescharacteristic
959#386C22×C13711yescharacteristic
960#386C22×C13711yescharacteristic
961#386C22×C13711yescharacteristic
962#386C22×C13711yescharacteristic
963#386C22×C13711yescharacteristic
964#386C22×C13711yescharacteristic
965#386C22×C13711yescharacteristic
966#386C22×C13711yescharacteristic, complemented
967#386C22×C13711yescharacteristic, complemented
968#385C22×C13711yescharacteristic
969#385C22×C13711yescharacteristic
970#385C22×C13711yescharacteristic
971#385C22×C13711yescharacteristic
972#385C22×C13711yescharacteristic
973#385C22×C13711yescharacteristic
974#385C22×C13711yescharacteristic
975#385C22×C13711yescharacteristic
976#385C22×C13711yescharacteristic
977#385C22×C13711yescharacteristic
978#385C22×C13711yescharacteristic
979#385C22×C13711yescharacteristic
980#385C22×C13711yescharacteristic
981#385C22×C13711yescharacteristic
982#385C22×C13711yescharacteristic, complemented
983#385C22×C13711yescharacteristic, complemented
984#385C22×C13711yescharacteristic, complemented
985#385C22×C13711yescharacteristic, complemented
986#385C22×C13711yescharacteristic, complemented
987#381C22×C13711yescharacteristic
988#381C22×C13711yescharacteristic
989#381C22×C13711yescharacteristic
990#380C22×C13711yescharacteristic
991#380C22×C13711yescharacteristic
992#380C22×C13711yescharacteristic
993#380C22×C13711yescharacteristic, complemented
994#380C22×C13711yescharacteristic, complemented
995#380C22×C13711yescharacteristic, complemented
996#380C22×C13711yescharacteristic, complemented
997#379C22×C13711yescharacteristic
998C4×C22⋊C4C22×C13711yescharacteristic
999C2×#95C22×C13711yescharacteristic
1000C2×#95C22×C13711yescharacteristic
1001C25C23×C13711yescharacteristic
1002C2×#41—24no—
1003C2×#41—42no—
1004C2×#41—42no—
1005C22×Q8C23×C13711yescharacteristic
1006C22×Q8C23×C13711yescharacteristic
1007C22×D4C23×C13711yescharacteristic
1008C22×D4C23×C13711yescharacteristic
1009C22×D4C23×C13711yescharacteristic
1010C22×D4C23×C13711yescharacteristic
1011C22×D4C23×C13711yescharacteristic
1012C22×D4C23×C13711yescharacteristic
1013C22×D4C23×C13711yescharacteristic
1014C22×D4C23×C13711yescharacteristic
1015C22×D4C23×C13711yescharacteristic
1016C22×D4C23×C13711yescharacteristic
1017C22×D4C23×C13711yescharacteristic
1018C22×D4C23×C13711yescharacteristic
1019C23×C4—42no—
1020C23×C4—42no—
1021C23×C4—42no—
1022C23×C4C23×C13711yescharacteristic
1023C23×C4C23×C13711yescharacteristic
1024C23×C4C23×C13711yescharacteristic
1025C23×C4C23×C13711yescharacteristic
1026C23×C4C23×C13711yescharacteristic
1027C23×C4C23×C13711yescharacteristic
1028C23×C4C23×C13711yescharacteristic
1029C23×C4C23×C13711yescharacteristic
1030C23×C4C23×C13711yescharacteristic
1031C23×C4C23×C13711yescharacteristic
1032C23×C4C23×C13711yescharacteristic
1033C23×C4C23×C13711yescharacteristic
1034C23×C4C23×C13711yescharacteristic
1035#126—42no—
1036#124—42no—
1037#123—24no—
1038#123—42no—
1039#123—42no—
1040#123—42no—
1041C22⋊Q8—42no—
1042#121—42no—
1043#121—42no—
1044#121—42no—
1045#121—42no—
1046#121—42no—
1047#120—42no—
1048#120—42no—
1049#120—42no—
1050C4×D4—42no—
1051#117—42no—
1052C2×C4⋊C4—42no—
1053C2×C4⋊C4—42no—
1054C2×C4⋊C4C23×C13711yescharacteristic
1055C2×C4⋊C4C23×C13711yescharacteristic
1056C2×C4⋊C4C23×C13711yescharacteristic
1057C2×C4⋊C4C23×C13711yescharacteristic
1058C2×C4⋊C4C23×C13711yescharacteristic
1059C2×C4⋊C4C23×C13711yescharacteristic
1060C2×C4⋊C4C23×C13711yescharacteristic
1061C2×C4⋊C4C23×C13711yescharacteristic
1062C2×C4⋊C4C23×C13711yescharacteristic
1063C2×C4⋊C4C23×C13711yescharacteristic
1064C2×C4⋊C4C23×C13711yescharacteristic
1065C2×C4⋊C4C23×C13711yescharacteristic
1066C2×C4⋊C4C23×C13711yescharacteristic
1067C2×C4⋊C4C23×C13711yescharacteristic
1068C2×C4⋊C4C23×C13711yescharacteristic
1069C2×C4⋊C4C23×C13711yescharacteristic
1070C2×C4⋊C4C23×C13711yescharacteristic
1071C2×C4⋊C4C23×C13711yescharacteristic
1072C2×C4⋊C4C23×C13711yescharacteristic
1073C2×C4⋊C4C23×C13711yescharacteristic
1074C2×C4⋊C4C23×C13711yescharacteristic
1075C2×C4⋊C4C23×C13711yescharacteristic
1076C2×C4⋊C4C23×C13711yescharacteristic
1077C2×C4⋊C4C23×C13711yescharacteristic
1078C2×C4⋊C4C23×C13711yescharacteristic
1079C2×C4⋊C4C23×C13711yescharacteristic
1080C2×C4⋊C4C23×C13711yescharacteristic
1081C2×C4⋊C4C23×C13711yescharacteristic
1082C2×C22⋊C4—24no—
1083C2×C22⋊C4—42no—
1084C2×C22⋊C4C23×C13711yescharacteristic
1085C2×C22⋊C4C23×C13711yescharacteristic
1086C2×C22⋊C4C23×C13711yescharacteristic
1087C2×C22⋊C4C23×C13711yescharacteristic
1088C2×C22⋊C4C23×C13711yescharacteristic
1089C2×C22⋊C4C23×C13711yescharacteristic
1090C2×C22⋊C4C23×C13711yescharacteristic
1091C2×C22⋊C4C23×C13711yescharacteristic
1092C2×C22⋊C4C23×C13711yescharacteristic
1093C2×C22⋊C4C23×C13711yescharacteristic
1094C2×C22⋊C4C23×C13711yescharacteristic
1095C2×C22⋊C4C23×C13711yescharacteristic
1096C2×C22⋊C4C23×C13711yescharacteristic
1097C2×C22⋊C4C23×C13711yescharacteristic
1098C2×C22⋊C4C23×C13711yescharacteristic
1099C2×C22⋊C4C23×C13711yescharacteristic
1100C2×C22⋊C4C23×C13711yescharacteristic
1101C2×C22⋊C4C23×C13711yescharacteristic
1102C2×C22⋊C4C23×C13711yescharacteristic
1103C2×C22⋊C4C23×C13711yescharacteristic
1104C2×C22⋊C4C23×C13711yescharacteristic
1105C2×C22⋊C4C23×C13711yescharacteristic
1106C2×C22⋊C4C23×C13711yescharacteristic
1107C2×C22⋊C4C23×C13711yescharacteristic
1108C2×C22⋊C4C23×C13711yescharacteristic
1109C2×C22⋊C4C23×C13711yescharacteristic
1110C2×C22⋊C4C23×C13711yescharacteristic
1111C2×C22⋊C4C23×C13711yescharacteristic
1112C2×C22⋊C4C23×C13711yescharacteristic
1113C2×C22⋊C4C23×C13711yescharacteristic
1114C2×C22⋊C4C23×C13711yescharacteristic
1115C2×C22⋊C4C23×C13711yescharacteristic
1116C2×C22⋊C4C23×C13711yescharacteristic
1117C2×C22⋊C4C23×C13711yescharacteristic
1118C2×C22⋊C4C23×C13711yescharacteristic
1119C2×C22⋊C4C23×C13711yescharacteristic
1120C2×C22⋊C4C23×C13711yescharacteristic
1121C2×C22⋊C4C23×C13711yescharacteristic
1122C2×C22⋊C4C23×C13711yescharacteristic
1123C2×C22⋊C4C23×C13711yescharacteristic
1124C2×C22⋊C4C23×C13711yescharacteristic
1125C2×C22⋊C4C23×C13711yescharacteristic
1126C2×C22⋊C4C23×C13711yescharacteristic
1127C2×C22⋊C4C23×C13711yescharacteristic
1128C2×C22⋊C4C23×C13711yescharacteristic
1129C2×C22⋊C4C23×C13711yescharacteristic
1130C2×C22⋊C4C23×C13711yescharacteristic
1131C2×C22⋊C4C23×C13711yescharacteristic
1132C2×C22⋊C4C23×C13711yescharacteristic
1133C2×C22⋊C4C23×C13711yescharacteristic
1134C2×C42C23×C13711yescharacteristic
1135C2×C42C23×C13711yescharacteristic
1136C2×C42C23×C13711yescharacteristic
1137C2×C42C23×C13711yescharacteristic
1138C2×C42C23×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
1158#95C23×C13711yescharacteristic
1159#95C23×C13711yescharacteristic
1160#95C23×C13711yescharacteristic
1161#95C23×C13711yescharacteristic
1162#95C23×C13711yescharacteristic
1163#95C23×C13711yescharacteristic
1164#95C23×C13711yescharacteristic
1165#95C23×C13711yescharacteristic
1166#95C23×C13711yescharacteristic
1167#95C23×C13711yescharacteristic
1168#95C23×C13711yescharacteristic
1169#95C23×C13711yescharacteristic
1170#95C23×C13711yescharacteristic
1171#95C23×C13711yescharacteristic
1172#95C23×C13711yescharacteristic
1173#95C23×C13711yescharacteristic
1174#95C23×C13711yescharacteristic
1175#95C23×C13711yescharacteristic
1176#95C23×C13711yescharacteristic
1177#95C23×C13711yescharacteristic
1178#95C23×C13711yescharacteristic
1179#95C23×C13711yescharacteristic
1180#95C23×C13711yescharacteristic
1181#95C23×C13711yescharacteristic
1182#95C23×C13711yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24C24×C13711yescharacteristic
1191C24C24×C13711yescharacteristic
1192C24C24×C13711yescharacteristic
1193C24C24×C13711yescharacteristic
1194C24C24×C13711yescharacteristic
1195C24C24×C13711yescharacteristic
1196#41—416no—
1197C2×Q8—22no—
1198C2×Q8—41no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×Q8—41no—
1202C2×Q8—41no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—416no—
1278C22×C4#41×C13714yes—
1279C22×C4C24×C13711yescharacteristic
1280C22×C4C24×C13711yescharacteristic
1281C22×C4C24×C13711yescharacteristic
1282C22×C4C24×C13711yescharacteristic
1283C22×C4C24×C13711yescharacteristic
1284C22×C4C24×C13711yescharacteristic
1285C22×C4C24×C13711yescharacteristic
1286C22×C4C24×C13711yescharacteristic
1287C22×C4C24×C13711yescharacteristic
1288C22×C4C24×C13711yescharacteristic
1289C22×C4C24×C13711yescharacteristic
1290C22×C4C24×C13711yescharacteristic
1291C22×C4C24×C13711yescharacteristic
1292C22×C4C24×C13711yescharacteristic
1293C22×C4C24×C13711yescharacteristic
1294C22×C4C24×C13711yescharacteristic
1295C22×C4C24×C13711yescharacteristic
1296C22×C4C24×C13711yescharacteristic
1297C22×C4C24×C13711yescharacteristic
1298C22×C4C24×C13711yescharacteristic
1299C22×C4C24×C13711yescharacteristic
1300C22×C4C24×C13711yescharacteristic
1301C22×C4C24×C13711yescharacteristic
1302C22×C4C24×C13711yescharacteristic
1303C22×C4C24×C13711yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C42—41no—
1386C42—41no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23C2×#41×C13712yes—
1432C23H(5,𝔽2)×C13712yes—
1433C23H(5,𝔽2)×C13712yes—
1434C23H(5,𝔽2)×C13712yes—
1435C232−1+4×C13712yes—
1436C23C25×C13711yescharacteristic
1437Q8—44no—
1438Q8—82no—
1439D4—44no—
1440D4—44no—
1441D4—44no—
1442D4—44no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—82no—
1449D4—82no—
1450D4—82no—
1451C2×C4—28no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—82no—
1534C2×C4—82no—
1535C2×C4—82no—
1536C2×C4C2×#41×C13712yes—
1537C2×C4C2×#41×C13712yes—
1538C2×C4H(5,𝔽2)×C13712yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22#538×C13714yes—
1582C22C22×#41×C13711yescharacteristic
1583C22C2×H(5,𝔽2)×C13711yescharacteristic
1584C22C2×H(5,𝔽2)×C13711yescharacteristic
1585C22C2×H(5,𝔽2)×C13711yescharacteristic
1586C22C2×H(5,𝔽2)×C13711yescharacteristic
1587C22C2×2−1+4×C13711yescharacteristic
1588C22#585×C13711yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—81no—
1620C2C2×#538×C13711yescharacteristic
1621C2#3492×C13711yescharacteristic
1622C2#3506×C13711yescharacteristic
1623C2#3532×C13711yescharacteristic
1624C2#3534×C13711yescharacteristic
1625C2#3535×C13711yescharacteristic
1626C2#3536×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. #2804×C137C2semidirect
4. #2797×C137C2semidirect
5. #2788×C137C2semidirect
6. #2784×C137C2semidirect
7. #2780×C137C2semidirect
8. #2778×C137C2semidirect
9. #2751×C137C2semidirect
10. #2750×C137C2semidirect
11. #2745×C137C2semidirect
12. #2714×C137C2semidirect
13. #2710×C137C2semidirect
14. #2708×C137C2semidirect
15. #2708×C137C2semidirect
16. #2695×C137C2semidirect
17. #2686×C137C2semidirect
18. #2682×C137C2semidirect
19. #2643×C137C2semidirect
20. #2639×C137C2semidirect
21. #2481×C137C2semidirect
22. #2472×C137C2semidirect
23. #2443×C137C2semidirect
24. #2438×C137C2semidirect
25. #2430×C137C2semidirect
26. #2424×C137C2semidirect
27. #2411×C137C2semidirect
28. #2404×C137C2semidirect
29. #2322×C137C2semidirect
30. #2311×C137C2semidirect
31. C2×#385×C137C2semidirect
34. C2×#126×C137C22semidirect
39. C2×#123×C137C22semidirect
55. #401×C137C22semidirect
56. #400×C137C22semidirect
57. #400×C137C22semidirect
58. #400×C137C22semidirect
59. #400×C137C22semidirect
60. #400×C137C22semidirect
61. #400×C137C22semidirect
62. #400×C137C22semidirect
63. #400×C137C22semidirect
64. #399×C137C22semidirect
65. #398×C137C22semidirect
66. #398×C137C22semidirect
67. #398×C137C22semidirect
69. #397×C137C22semidirect
70. #397×C137C22semidirect
71. #397×C137C22semidirect
72. #397×C137C22semidirect
73. #397×C137C22semidirect
74. #397×C137C22semidirect
75. #397×C137C22semidirect
79. #396×C137C22semidirect
80. #396×C137C22semidirect
81. #395×C137C22semidirect
82. #395×C137C22semidirect
89. #394×C137C22semidirect
90. #394×C137C22semidirect
91. #394×C137C22semidirect
92. #394×C137C22semidirect
96. #393×C137C22semidirect
97. #393×C137C22semidirect
98. #393×C137C22semidirect
102. #392×C137C22semidirect
103. #391×C137C22semidirect
104. #391×C137C22semidirect
105. #391×C137C22semidirect
110. #390×C137C22semidirect
111. #390×C137C22semidirect
112. #389×C137C22semidirect
113. #389×C137C22semidirect
114. #389×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
168. #385×C137C22semidirect
169. #385×C137C22semidirect
170. #385×C137C22semidirect
171. #385×C137C22semidirect
172. #385×C137C22semidirect
179. #380×C137C22semidirect
180. #380×C137C22semidirect
181. #380×C137C22semidirect
182. #380×C137C22semidirect
813. #36791C137direct (N × H)
814. C137#36791direct (N × H)
815. #2849C2×C137semidirect
816. #2847C2×C137semidirect
817. #2804C2×C137semidirect
818. #2797C2×C137semidirect
819. #2788C2×C137semidirect
820. #2784C2×C137semidirect
821. #2780C2×C137semidirect
822. #2778C2×C137semidirect
823. #2751C2×C137semidirect
824. #2750C2×C137semidirect
825. #2745C2×C137semidirect
826. #2714C2×C137semidirect
827. #2710C2×C137semidirect
828. #2708C2×C137semidirect
829. #2708C2×C137semidirect
830. #2695C2×C137semidirect
831. #2686C2×C137semidirect
832. #2682C2×C137semidirect
833. #2643C2×C137semidirect
834. #2639C2×C137semidirect
835. #2481C2×C137semidirect
836. #2472C2×C137semidirect
837. #2443C2×C137semidirect
838. #2438C2×C137semidirect
839. #2430C2×C137semidirect
840. #2424C2×C137semidirect
841. #2411C2×C137semidirect
842. #2404C2×C137semidirect
843. #2322C2×C137semidirect
844. #2311C2×C137semidirect
845. C2×#385C2×C137semidirect
848. C2×#126C22×C137semidirect
853. C2×#123C22×C137semidirect
869. #401C22×C137semidirect
870. #400C22×C137semidirect
871. #400C22×C137semidirect
872. #400C22×C137semidirect
873. #400C22×C137semidirect
874. #400C22×C137semidirect
875. #400C22×C137semidirect
876. #400C22×C137semidirect
877. #400C22×C137semidirect
878. #399C22×C137semidirect
879. #398C22×C137semidirect
880. #398C22×C137semidirect
881. #398C22×C137semidirect
883. #397C22×C137semidirect
884. #397C22×C137semidirect
885. #397C22×C137semidirect
886. #397C22×C137semidirect
887. #397C22×C137semidirect
888. #397C22×C137semidirect
889. #397C22×C137semidirect
893. #396C22×C137semidirect
894. #396C22×C137semidirect
895. #395C22×C137semidirect
896. #395C22×C137semidirect
903. #394C22×C137semidirect
904. #394C22×C137semidirect
905. #394C22×C137semidirect
906. #394C22×C137semidirect
910. #393C22×C137semidirect
911. #393C22×C137semidirect
912. #393C22×C137semidirect
916. #392C22×C137semidirect
917. #391C22×C137semidirect
918. #391C22×C137semidirect
919. #391C22×C137semidirect
924. #390C22×C137semidirect
925. #390C22×C137semidirect
926. #389C22×C137semidirect
927. #389C22×C137semidirect
928. #389C22×C137semidirect
934. #388C22×C137semidirect
935. #388C22×C137semidirect
936. #388C22×C137semidirect
937. #388C22×C137semidirect
938. #387C22×C137semidirect
939. #387C22×C137semidirect
940. #387C22×C137semidirect
941. #387C22×C137semidirect
942. #387C22×C137semidirect
943. #387C22×C137semidirect
944. #387C22×C137semidirect
966. #386C22×C137semidirect
967. #386C22×C137semidirect
982. #385C22×C137semidirect
983. #385C22×C137semidirect
984. #385C22×C137semidirect
985. #385C22×C137semidirect
986. #385C22×C137semidirect
993. #380C22×C137semidirect
994. #380C22×C137semidirect
995. #380C22×C137semidirect
996. #380C22×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
#2804×C1372
#2797×C1372
#2788×C1372
#2784×C1372
#2780×C1372
#2778×C1372
#2751×C1372
#2750×C1372
#2745×C1372
#2714×C1372
#2710×C1372
#2708×C1372
#2695×C1372
#2686×C1372
#2682×C1372
#2643×C1372
#2639×C1372
#2481×C1372
#2472×C1372
#2443×C1372
#2438×C1372
#2430×C1372
#2424×C1372
#2411×C1372
#2404×C1372
#2322×C1372
#2311×C1372
C2×#385×C1372
#36791137