Finite Group Databasebeta

← C137×#34990 #46884376

Subgroups — C137×#34990 #46884376

Order 35072.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#538×C137C211yesmaximal, characteristic, complemented
2C22×C4×D4×C137C211yesmaximal, characteristic, complemented
3#2852×C137C211yesmaximal, characteristic, complemented
4#2850×C137C211yesmaximal, characteristic, complemented
5#2849×C137C211yesmaximal, characteristic, complemented
6#2847×C137C211yesmaximal, characteristic, complemented
7#2636×C137C211yesmaximal, characteristic, complemented
8#2635×C137C211yesmaximal, characteristic, complemented
9#2631×C137C211yesmaximal, characteristic, complemented
10#2630×C137C211yesmaximal, characteristic, complemented
11#2481×C137C211yesmaximal, characteristic, complemented
12#2472×C137C211yesmaximal, characteristic, complemented
13#2467×C137C211yesmaximal, characteristic, complemented
14#2459×C137C211yesmaximal, characteristic, complemented
15#2456×C137C211yesmaximal, characteristic, complemented
16#2456×C137C211yesmaximal, characteristic, complemented
17#2450×C137C211yesmaximal, characteristic, complemented
18#2444×C137C211yesmaximal, characteristic, complemented
19#2443×C137C211yesmaximal, characteristic, complemented
20#2437×C137C211yesmaximal, characteristic, complemented
21#2424×C137C211yesmaximal, characteristic, complemented
22#2424×C137C211yesmaximal, characteristic, complemented
23#2418×C137C211yesmaximal, characteristic, complemented
24#2410×C137C211yesmaximal, characteristic, complemented
25#2410×C137C211yesmaximal, characteristic, complemented
26#2403×C137C211yesmaximal, characteristic, complemented
27#2325×C137C211yesmaximal, characteristic, complemented
28#2321×C137C211yesmaximal, characteristic, complemented
29#2318×C137C211yesmaximal, characteristic, complemented
30C4×#120×C137C211yesmaximal, characteristic, complemented
31C2×#386×C137C211yesmaximal, characteristic, complemented
32C23×D4×C137C2211yescharacteristic
33C23×D4×C137C2211yescharacteristic
34C24×C4×C137C2211yescharacteristic
35C24×C4×C137C2211yescharacteristic, complemented
36#538×C137—28no—
37C2×#126×C137C2211yescharacteristic, complemented
38C2×#126×C137C2211yescharacteristic, complemented
39C2×#124×C137C2211yescharacteristic, complemented
40C2×#124×C137C2211yescharacteristic, complemented
41C2×#123×C137C2211yescharacteristic, complemented
42C2×#123×C137C2211yescharacteristic, complemented
43C2×#123×C137C2211yescharacteristic, complemented
44C2×C22⋊Q8×C137C2211yescharacteristic, complemented
45C2×C22⋊Q8×C137C2211yescharacteristic, complemented
46C2×#121×C137C2211yescharacteristic
47C2×#121×C137C2211yescharacteristic
48C2×#121×C137C2211yescharacteristic
49C2×#121×C137C2211yescharacteristic
50C2×#121×C137C2211yescharacteristic, complemented
51C2×#121×C137C2211yescharacteristic, complemented
52C2×#121×C137C2211yescharacteristic, complemented
53C2×#120×C137C2211yescharacteristic
54C2×#120×C137C2211yescharacteristic
55C2×#120×C137C2211yescharacteristic
56C2×#120×C137C2211yescharacteristic
57C2×#120×C137C2211yescharacteristic
58C2×#120×C137C2211yescharacteristic, complemented
59C2×#120×C137C2211yescharacteristic, complemented
60C2×C4×D4×C137—28no—
61C2×C4×D4×C137C2211yescharacteristic
62C2×C4×D4×C137C2211yescharacteristic
63C2×C4×D4×C137C2211yescharacteristic
64C2×C4×D4×C137C2211yescharacteristic
65C2×C4×D4×C137C2211yescharacteristic, complemented
66C2×C4×D4×C137C2211yescharacteristic, complemented
67C2×C4×D4×C137C2211yescharacteristic, complemented
68C2×C4×D4×C137C2211yescharacteristic, complemented
69C2×C4×D4×C137C2211yescharacteristic, complemented
70C2×C4×D4×C137C2211yescharacteristic, complemented
71C2×C4×D4×C137C2211yescharacteristic, complemented
72C22×C4⋊C4×C137C2211yescharacteristic, complemented
73C22×C22⋊C4×C137C2211yescharacteristic
74C22×C22⋊C4×C137C2211yescharacteristic
75C22×C22⋊C4×C137C2211yescharacteristic, complemented
76C22×C22⋊C4×C137C2211yescharacteristic, complemented
77C22×C22⋊C4×C137C2211yescharacteristic, complemented
78C22×C42×C137C2211yescharacteristic, complemented
79#400×C137C2211yescharacteristic, complemented
80#400×C137C2211yescharacteristic, complemented
81#399×C137C2211yescharacteristic, complemented
82#399×C137C2211yescharacteristic, complemented
83#398×C137C2211yescharacteristic, complemented
84#397×C137C2211yescharacteristic, complemented
85#397×C137C2211yescharacteristic, complemented
86#397×C137C2211yescharacteristic, complemented
87#396×C137C2211yescharacteristic, complemented
88#396×C137C2211yescharacteristic, complemented
89#396×C137C2211yescharacteristic, complemented
90#396×C137C2211yescharacteristic, complemented
91#394×C137C2211yescharacteristic, complemented
92#394×C137C2211yescharacteristic, complemented
93#394×C137C2211yescharacteristic, complemented
94#394×C137C2211yescharacteristic, complemented
95#394×C137C2211yescharacteristic, complemented
96#394×C137C2211yescharacteristic, complemented
97#394×C137C2211yescharacteristic, complemented
98#394×C137C2211yescharacteristic, complemented
99#394×C137C2211yescharacteristic, complemented
100#393×C137C2211yescharacteristic, complemented
101#393×C137C2211yescharacteristic, complemented
102#392×C137C2211yescharacteristic
103#392×C137C2211yescharacteristic
104#392×C137C2211yescharacteristic
105#392×C137C2211yescharacteristic
106#392×C137C2211yescharacteristic, complemented
107#392×C137C2211yescharacteristic, complemented
108#392×C137C2211yescharacteristic, complemented
109#392×C137C2211yescharacteristic, complemented
110#392×C137C2211yescharacteristic, complemented
111#391×C137C2211yescharacteristic, complemented
112#390×C137C2211yescharacteristic, complemented
113#390×C137C2211yescharacteristic, complemented
114#390×C137C2211yescharacteristic, complemented
115#388×C137C2211yescharacteristic, complemented
116#388×C137C2211yescharacteristic, complemented
117#388×C137C2211yescharacteristic, complemented
118#388×C137C2211yescharacteristic, complemented
119#388×C137C2211yescharacteristic, complemented
120#388×C137C2211yescharacteristic, complemented
121#388×C137C2211yescharacteristic, complemented
122#388×C137C2211yescharacteristic, complemented
123#388×C137C2211yescharacteristic, complemented
124#388×C137C2211yescharacteristic, complemented
125#388×C137C2211yescharacteristic, complemented
126#388×C137C2211yescharacteristic, complemented
127#387×C137C2211yescharacteristic, complemented
128#387×C137C2211yescharacteristic, complemented
129#387×C137C2211yescharacteristic, complemented
130#387×C137C2211yescharacteristic, complemented
131#387×C137C2211yescharacteristic, complemented
132#387×C137C2211yescharacteristic, complemented
133#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, complemented
146#386×C137C2211yescharacteristic, complemented
147#386×C137C2211yescharacteristic, complemented
148#386×C137C2211yescharacteristic, complemented
149#386×C137C2211yescharacteristic, complemented
150#386×C137C2211yescharacteristic, complemented
151#386×C137C2211yescharacteristic, complemented
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#386×C137C2211yescharacteristic, complemented
160#386×C137C2211yescharacteristic, complemented
161#385×C137C2211yescharacteristic, complemented
162#385×C137C2211yescharacteristic, complemented
163#385×C137C2211yescharacteristic, complemented
164#385×C137C2211yescharacteristic, complemented
165#385×C137C2211yescharacteristic, complemented
166#385×C137C2211yescharacteristic, complemented
167#385×C137C2211yescharacteristic, complemented
168#385×C137C2211yescharacteristic, complemented
169#385×C137C2211yescharacteristic, complemented
170#385×C137C2211yescharacteristic, complemented
171#385×C137C2211yescharacteristic, complemented
172#385×C137C2211yescharacteristic, complemented
173#383×C137C2211yescharacteristic, complemented
174#382×C137C2211yescharacteristic, complemented
175#381×C137C2211yescharacteristic, complemented
176#381×C137C2211yescharacteristic, complemented
177#380×C137C2211yescharacteristic, complemented
178#380×C137C2211yescharacteristic, complemented
179#380×C137C2211yescharacteristic, complemented
180#380×C137C2211yescharacteristic, complemented
181#379×C137C2211yescharacteristic
182#379×C137C2211yescharacteristic, complemented
183#379×C137C2211yescharacteristic, complemented
184C4×C22⋊C4×C137C2211yescharacteristic, complemented
185C4×C22⋊C4×C137C2211yescharacteristic, complemented
186C4×C22⋊C4×C137C2211yescharacteristic, complemented
187C2×#95×C137C2211yescharacteristic, complemented
188C2×#95×C137C2211yescharacteristic, complemented
189C25×C137C2311yescharacteristic
190C25×C137C2311yescharacteristic
191C25×C137C2311yescharacteristic
192C22×Q8×C137C2311yescharacteristic
193C22×D4×C137—24no—
194C22×D4×C137—24no—
195C22×D4×C137—24no—
196C22×D4×C137—24no—
197C22×D4×C137—42no—
198C22×D4×C137—42no—
199C22×D4×C137C2311yescharacteristic
200C22×D4×C137C2311yescharacteristic
201C22×D4×C137C2311yescharacteristic
202C22×D4×C137C2311yescharacteristic
203C22×D4×C137C2311yescharacteristic
204C22×D4×C137C2311yescharacteristic
205C22×D4×C137C2311yescharacteristic
206C22×D4×C137C2311yescharacteristic
207C22×D4×C137C2311yescharacteristic
208C22×D4×C137C2311yescharacteristic
209C22×D4×C137C2311yescharacteristic
210C22×D4×C137C2311yescharacteristic
211C22×D4×C137C2311yescharacteristic
212C22×D4×C137C2311yescharacteristic
213C22×D4×C137C2311yescharacteristic
214C22×D4×C137C2311yescharacteristic
215C22×D4×C137C2311yescharacteristic
216C22×D4×C137C2311yescharacteristic
217C22×D4×C137C2311yescharacteristic
218C23×C4×C137—24no—
219C23×C4×C137—24no—
220C23×C4×C137—42no—
221C23×C4×C137—42no—
222C23×C4×C137—42no—
223C23×C4×C137—42no—
224C23×C4×C137C2311yescharacteristic
225C23×C4×C137C2311yescharacteristic
226C23×C4×C137C2311yescharacteristic
227C23×C4×C137C2311yescharacteristic
228C23×C4×C137C2311yescharacteristic
229C23×C4×C137C2311yescharacteristic
230C23×C4×C137C2311yescharacteristic
231C23×C4×C137C2311yescharacteristic
232C23×C4×C137C2311yescharacteristic
233C23×C4×C137C2311yescharacteristic
234C23×C4×C137C2311yescharacteristic
235C23×C4×C137C2311yescharacteristic
236C23×C4×C137C2311yescharacteristic
237C23×C4×C137C2311yescharacteristic
238C23×C4×C137C2311yescharacteristic
239C23×C4×C137C2311yescharacteristic
240C23×C4×C137C2311yescharacteristic
241#126×C137—24no—
242#126×C137—24no—
243#124×C137—24no—
244#124×C137—24no—
245#123×C137—24no—
246#123×C137—24no—
247#123×C137—42no—
248C22⋊Q8×C137—24no—
249C22⋊Q8×C137—42no—
250#121×C137—24no—
251#121×C137—24no—
252#121×C137—24no—
253#121×C137—24no—
254#121×C137—42no—
255#121×C137—42no—
256#121×C137—42no—
257#120×C137—24no—
258#120×C137—24no—
259#120×C137—24no—
260#120×C137—24no—
261#120×C137—42no—
262#120×C137—42no—
263#120×C137—42no—
264C4×D4×C137—24no—
265C4×D4×C137—24no—
266C4×D4×C137—24no—
267C4×D4×C137—24no—
268C4×D4×C137—24no—
269C4×D4×C137—24no—
270C4×D4×C137—24no—
271C4×D4×C137—24no—
272C4×D4×C137—42no—
273C4×D4×C137—42no—
274C4×D4×C137D418yescomplemented
275C2×C4⋊C4×C137—24no—
276C2×C4⋊C4×C137C2311yescharacteristic
277C2×C4⋊C4×C137C2311yescharacteristic
278C2×C4⋊C4×C137C2311yescharacteristic
279C2×C4⋊C4×C137C2311yescharacteristic
280C2×C4⋊C4×C137C2311yescharacteristic
281C2×C4⋊C4×C137C2311yescharacteristic
282C2×C4⋊C4×C137C2311yescharacteristic
283C2×C4⋊C4×C137C2311yescharacteristic
284C2×C4⋊C4×C137C2311yescharacteristic
285C2×C4⋊C4×C137C2311yescharacteristic
286C2×C4⋊C4×C137C2311yescharacteristic
287C2×C4⋊C4×C137C2311yescharacteristic
288C2×C4⋊C4×C137C2311yescharacteristic
289C2×C4⋊C4×C137C2311yescharacteristic
290C2×C4⋊C4×C137C2311yescharacteristic
291C2×C4⋊C4×C137C2311yescharacteristic
292C2×C4⋊C4×C137C2311yescharacteristic
293C2×C4⋊C4×C137C2311yescharacteristic
294C2×C4⋊C4×C137C2311yescharacteristic
295C2×C4⋊C4×C137C2311yescharacteristic
296C2×C22⋊C4×C137—24no—
297C2×C22⋊C4×C137—24no—
298C2×C22⋊C4×C137—24no—
299C2×C22⋊C4×C137—42no—
300C2×C22⋊C4×C137—42no—
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×C22⋊C4×C137C2311yescharacteristic
324C2×C22⋊C4×C137C2311yescharacteristic
325C2×C22⋊C4×C137C2311yescharacteristic
326C2×C22⋊C4×C137C2311yescharacteristic
327C2×C22⋊C4×C137C2311yescharacteristic
328C2×C22⋊C4×C137C2311yescharacteristic
329C2×C22⋊C4×C137C2311yescharacteristic
330C2×C22⋊C4×C137C2311yescharacteristic
331C2×C22⋊C4×C137C2311yescharacteristic
332C2×C22⋊C4×C137C2311yescharacteristic
333C2×C22⋊C4×C137C2311yescharacteristic
334C2×C22⋊C4×C137C2311yescharacteristic
335C2×C22⋊C4×C137C2311yescharacteristic
336C2×C22⋊C4×C137C2311yescharacteristic
337C2×C22⋊C4×C137C2311yescharacteristic
338C2×C22⋊C4×C137C2311yescharacteristic
339C2×C22⋊C4×C137C2311yescharacteristic
340C2×C22⋊C4×C137C2311yescharacteristic
341C2×C22⋊C4×C137C2311yescharacteristic
342C2×C22⋊C4×C137C2311yescharacteristic
343C2×C22⋊C4×C137C2311yescharacteristic
344C2×C22⋊C4×C137C2311yescharacteristic
345C2×C22⋊C4×C137C2311yescharacteristic
346C2×C22⋊C4×C137C2311yescharacteristic
347C2×C22⋊C4×C137C2311yescharacteristic
348C2×C22⋊C4×C137C2311yescharacteristic
349C2×C22⋊C4×C137C2311yescharacteristic
350C2×C22⋊C4×C137C2311yescharacteristic
351C2×C22⋊C4×C137C2311yescharacteristic
352C2×C22⋊C4×C137C2311yescharacteristic
353C2×C22⋊C4×C137C2311yescharacteristic
354C2×C22⋊C4×C137C2311yescharacteristic
355C2×C22⋊C4×C137C2311yescharacteristic
356C2×C22⋊C4×C137C2311yescharacteristic
357C2×C42×C137—24no—
358C2×C42×C137C2311yescharacteristic
359C2×C42×C137C2311yescharacteristic
360C2×C42×C137C2311yescharacteristic
361C2×C42×C137C2311yescharacteristic
362C2×C42×C137C2311yescharacteristic
363C2×C42×C137C2311yescharacteristic
364C2×C42×C137C2311yescharacteristic
365#95×C137C2311yescharacteristic
366#95×C137C2311yescharacteristic
367#95×C137C2311yescharacteristic
368#95×C137C2311yescharacteristic
369#95×C137C2311yescharacteristic
370#95×C137C2311yescharacteristic
371#95×C137C2311yescharacteristic
372#95×C137C2311yescharacteristic
373#95×C137C2311yescharacteristic
374#95×C137C2311yescharacteristic
375#95×C137C2311yescharacteristic
376#95×C137C2311yescharacteristic
377#95×C137C2311yescharacteristic
378#95×C137C2311yescharacteristic
379#95×C137C2311yescharacteristic
380#95×C137C2311yescharacteristic
381#95×C137C2311yescharacteristic
382#95×C137C2311yescharacteristic
383#95×C137C2311yescharacteristic
384#95×C137C2311yescharacteristic
385#95×C137C2311yescharacteristic
386#95×C137C2311yescharacteristic
387#95×C137C2311yescharacteristic
388#95×C137C2311yescharacteristic
389#95×C137C2311yescharacteristic
390#95×C137C2311yescharacteristic
391#95×C137C2311yescharacteristic
392#95×C137C2311yescharacteristic
393#95×C137C2311yescharacteristic
394#95×C137C2311yescharacteristic
395#95×C137C2311yescharacteristic
396#95×C137C2311yescharacteristic
397C24×C137—22no—
398C24×C137—22no—
399C24×C137—22no—
400C24×C137—22no—
401C24×C137—22no—
402C24×C137—22no—
403C24×C137—22no—
404C24×C137—22no—
405C24×C137—22no—
406C24×C137—22no—
407C24×C137—22no—
408C24×C137—22no—
409C24×C137—41no—
410C24×C137—41no—
411C24×C137—41no—
412C24×C137—41no—
413C24×C137—41no—
414C24×C137—41no—
415C24×C137—41no—
416C24×C137—41no—
417C24×C137#4114yes—
418C24×C137C2411yescharacteristic
419C24×C137C2411yescharacteristic
420C24×C137C2411yescharacteristic
421C24×C137C2411yescharacteristic
422C24×C137C2411yescharacteristic
423C24×C137C2411yescharacteristic
424C24×C137C2411yescharacteristic
425C24×C137C2411yescharacteristic
426C2×Q8×C137—22no—
427C2×Q8×C137—41no—
428C2×Q8×C137—41no—
429C2×D4×C137—232no—
430C2×D4×C137—22no—
431C2×D4×C137—22no—
432C2×D4×C137—22no—
433C2×D4×C137—22no—
434C2×D4×C137—22no—
435C2×D4×C137—22no—
436C2×D4×C137—22no—
437C2×D4×C137—22no—
438C2×D4×C137—22no—
439C2×D4×C137—22no—
440C2×D4×C137—22no—
441C2×D4×C137—22no—
442C2×D4×C137—22no—
443C2×D4×C137—22no—
444C2×D4×C137—22no—
445C2×D4×C137—22no—
446C2×D4×C137—22no—
447C2×D4×C137—22no—
448C2×D4×C137—22no—
449C2×D4×C137—22no—
450C2×D4×C137—22no—
451C2×D4×C137—22no—
452C2×D4×C137—22no—
453C2×D4×C137—22no—
454C2×D4×C137—22no—
455C2×D4×C137—22no—
456C2×D4×C137—22no—
457C2×D4×C137—22no—
458C2×D4×C137—22no—
459C2×D4×C137—22no—
460C2×D4×C137—22no—
461C2×D4×C137—22no—
462C2×D4×C137—22no—
463C2×D4×C137—41no—
464C2×D4×C137—41no—
465C2×D4×C137—41no—
466C2×D4×C137—41no—
467C2×D4×C137—41no—
468C2×D4×C137—41no—
469C2×D4×C137—41no—
470C2×D4×C137—41no—
471C2×D4×C137—41no—
472C2×D4×C137—41no—
473C2×D4×C137—41no—
474C2×D4×C137—41no—
475C2×D4×C137—41no—
476C2×D4×C137—41no—
477C2×D4×C137—41no—
478C2×D4×C137—41no—
479C2×D4×C137—41no—
480C2×D4×C137—41no—
481C2×D4×C137—41no—
482C2×D4×C137—41no—
483C2×D4×C137—41no—
484C2×D4×C137—41no—
485C2×D4×C137—416no—
486C2×D4×C137C2×D414yes—
487C2×D4×C137#4114yes—
488C22×C4×C137—22no—
489C22×C4×C137—22no—
490C22×C4×C137—22no—
491C22×C4×C137—22no—
492C22×C4×C137—22no—
493C22×C4×C137—22no—
494C22×C4×C137—22no—
495C22×C4×C137—22no—
496C22×C4×C137—22no—
497C22×C4×C137—22no—
498C22×C4×C137—22no—
499C22×C4×C137—22no—
500C22×C4×C137—22no—
501C22×C4×C137—22no—
502C22×C4×C137—22no—
503C22×C4×C137—22no—
504C22×C4×C137—22no—
505C22×C4×C137—22no—
506C22×C4×C137—22no—
507C22×C4×C137—22no—
508C22×C4×C137—22no—
509C22×C4×C137—22no—
510C22×C4×C137—22no—
511C22×C4×C137—22no—
512C22×C4×C137—22no—
513C22×C4×C137—22no—
514C22×C4×C137—41no—
515C22×C4×C137—41no—
516C22×C4×C137—41no—
517C22×C4×C137—41no—
518C22×C4×C137—41no—
519C22×C4×C137—41no—
520C22×C4×C137—41no—
521C22×C4×C137—41no—
522C22×C4×C137—41no—
523C22×C4×C137—41no—
524C22×C4×C137—41no—
525C22×C4×C137—41no—
526C22×C4×C137—41no—
527C22×C4×C137—41no—
528C22×C4×C137—41no—
529C22×C4×C137—41no—
530C22×C4×C137—41no—
531C22×C4×C137—41no—
532C22×C4×C137—41no—
533C22×C4×C137—41no—
534C22×C4×C137—41no—
535C22×C4×C137—41no—
536C22×C4×C137—41no—
537C22×C4×C137—416no—
538C22×C4×C137—416no—
539C22×C4×C137C2×D414yes—
540C22×C4×C137C2×D414yescomplemented
541C22×C4×C137C2411yescharacteristic
542C22×C4×C137C2411yescharacteristic
543C22×C4×C137C2411yescharacteristic
544C22×C4×C137C2411yescharacteristic
545C22×C4×C137C2411yescharacteristic
546C22×C4×C137C2411yescharacteristic
547C22×C4×C137C2411yescharacteristic
548C22×C4×C137C2411yescharacteristic
549C22×C4×C137C2411yescharacteristic
550C22×C4×C137C2411yescharacteristic
551C22×C4×C137C2411yescharacteristic
552C22×C4×C137C2411yescharacteristic
553C22×C4×C137C2411yescharacteristic
554C22×C4×C137C2411yescharacteristic
555C22×C4×C137C2411yescharacteristic
556C22×C4×C137C2411yescharacteristic
557C22×C4×C137C2411yescharacteristic
558C22×C4×C137C2411yescharacteristic
559C22×C4×C137C2411yescharacteristic
560C22×C4×C137C2411yescharacteristic
561C22×C4×C137C2411yescharacteristic
562C22×C4×C137C2411yescharacteristic
563C22×C4×C137C2411yescharacteristic
564C4⋊C4×C137—22no—
565C4⋊C4×C137—22no—
566C4⋊C4×C137—22no—
567C4⋊C4×C137—22no—
568C4⋊C4×C137—22no—
569C4⋊C4×C137—22no—
570C4⋊C4×C137—22no—
571C4⋊C4×C137—22no—
572C4⋊C4×C137—22no—
573C4⋊C4×C137—22no—
574C4⋊C4×C137—41no—
575C4⋊C4×C137—41no—
576C4⋊C4×C137—41no—
577C4⋊C4×C137—41no—
578C4⋊C4×C137—41no—
579C4⋊C4×C137—41no—
580C4⋊C4×C137—41no—
581C4⋊C4×C137—41no—
582C4⋊C4×C137—41no—
583C4⋊C4×C137C2×D414yescomplemented
584C22⋊C4×C137—22no—
585C22⋊C4×C137—22no—
586C22⋊C4×C137—22no—
587C22⋊C4×C137—22no—
588C22⋊C4×C137—22no—
589C22⋊C4×C137—22no—
590C22⋊C4×C137—22no—
591C22⋊C4×C137—22no—
592C22⋊C4×C137—22no—
593C22⋊C4×C137—22no—
594C22⋊C4×C137—22no—
595C22⋊C4×C137—22no—
596C22⋊C4×C137—22no—
597C22⋊C4×C137—22no—
598C22⋊C4×C137—22no—
599C22⋊C4×C137—22no—
600C22⋊C4×C137—22no—
601C22⋊C4×C137—22no—
602C22⋊C4×C137—22no—
603C22⋊C4×C137—22no—
604C22⋊C4×C137—22no—
605C22⋊C4×C137—22no—
606C22⋊C4×C137—22no—
607C22⋊C4×C137—22no—
608C22⋊C4×C137—22no—
609C22⋊C4×C137—22no—
610C22⋊C4×C137—22no—
611C22⋊C4×C137—22no—
612C22⋊C4×C137—22no—
613C22⋊C4×C137—22no—
614C22⋊C4×C137—22no—
615C22⋊C4×C137—22no—
616C22⋊C4×C137—22no—
617C22⋊C4×C137—41no—
618C22⋊C4×C137—41no—
619C22⋊C4×C137—41no—
620C22⋊C4×C137—41no—
621C22⋊C4×C137—41no—
622C22⋊C4×C137—41no—
623C22⋊C4×C137—41no—
624C22⋊C4×C137—41no—
625C22⋊C4×C137—41no—
626C22⋊C4×C137—41no—
627C22⋊C4×C137—41no—
628C22⋊C4×C137—41no—
629C22⋊C4×C137—41no—
630C22⋊C4×C137—41no—
631C22⋊C4×C137—41no—
632C22⋊C4×C137—41no—
633C22⋊C4×C137—41no—
634C22⋊C4×C137—41no—
635C22⋊C4×C137—41no—
636C22⋊C4×C137—41no—
637C22⋊C4×C137—41no—
638C22⋊C4×C137C2×D414yes—
639C22⋊C4×C137C2×D414yescomplemented
640C42×C137—22no—
641C42×C137—22no—
642C42×C137—22no—
643C42×C137—22no—
644C42×C137—41no—
645C42×C137—41no—
646C42×C137C2×D414yescomplemented
647C23×C137—21no—
648C23×C137—21no—
649C23×C137—21no—
650C23×C137—21no—
651C23×C137—21no—
652C23×C137—21no—
653C23×C137—21no—
654C23×C137—21no—
655C23×C137—28no—
656C23×C137—28no—
657C23×C137—28no—
658C23×C137—21no—
659C23×C137—21no—
660C23×C137—21no—
661C23×C137—21no—
662C23×C137—21no—
663C23×C137—21no—
664C23×C137—21no—
665C23×C137—21no—
666C23×C137—21no—
667C23×C137—21no—
668C23×C137—21no—
669C23×C137—21no—
670C23×C137—21no—
671C23×C137—21no—
672C23×C137—21no—
673C23×C137—21no—
674C23×C137—21no—
675C23×C137—21no—
676C23×C137—21no—
677C23×C137—21no—
678C23×C137—21no—
679C23×C137—21no—
680C23×C137—21no—
681C23×C137—21no—
682C23×C137—21no—
683C23×C137—21no—
684C23×C137—21no—
685C23×C137—21no—
686C23×C137—21no—
687C23×C137—21no—
688C23×C137—21no—
689C23×C137—21no—
690C23×C137—21no—
691C23×C137—21no—
692C23×C137—21no—
693C23×C137—21no—
694C23×C137—21no—
695C23×C137—21no—
696C23×C137—21no—
697C23×C137—44no—
698C23×C137—44no—
699C23×C137—44no—
700C23×C137—44no—
701C23×C137—44no—
702C23×C137—44no—
703C23×C137—44no—
704C23×C137—44no—
705C23×C137—44no—
706C23×C137—44no—
707C23×C137—44no—
708C23×C137—44no—
709C23×C137—44no—
710C23×C137—44no—
711C23×C137—82no—
712C23×C137—82no—
713C23×C137—82no—
714C23×C137—82no—
715C23×C137C22×D412yes—
716C23×C137C22×D412yes—
717C23×C137C2×#4112yes—
718C23×C137C2×#4112yes—
719C23×C137C2×#4112yes—
720C23×C137C2×#4112yes—
721C23×C137C2×#4112yes—
722C23×C137H(5,𝔽2)12yes—
723C23×C137H(5,𝔽2)12yes—
724C23×C137C2511yescharacteristic
725Q8×C137—82no—
726D4×C137—28no—
727D4×C137—28no—
728D4×C137—28no—
729D4×C137—28no—
730D4×C137—44no—
731D4×C137—44no—
732D4×C137—44no—
733D4×C137—44no—
734D4×C137—44no—
735D4×C137—44no—
736D4×C137—44no—
737D4×C137—82no—
738D4×C137—82no—
739D4×C137—82no—
740D4×C137—82no—
741D4×C137—82no—
742D4×C137—82no—
743D4×C137—82no—
744D4×C137—82no—
745C2×C4×C137—28no—
746C2×C4×C137—28no—
747C2×C4×C137—21no—
748C2×C4×C137—21no—
749C2×C4×C137—21no—
750C2×C4×C137—21no—
751C2×C4×C137—21no—
752C2×C4×C137—21no—
753C2×C4×C137—21no—
754C2×C4×C137—21no—
755C2×C4×C137—21no—
756C2×C4×C137—21no—
757C2×C4×C137—21no—
758C2×C4×C137—21no—
759C2×C4×C137—21no—
760C2×C4×C137—21no—
761C2×C4×C137—21no—
762C2×C4×C137—21no—
763C2×C4×C137—21no—
764C2×C4×C137—21no—
765C2×C4×C137—21no—
766C2×C4×C137—21no—
767C2×C4×C137—21no—
768C2×C4×C137—21no—
769C2×C4×C137—21no—
770C2×C4×C137—21no—
771C2×C4×C137—21no—
772C2×C4×C137—21no—
773C2×C4×C137—21no—
774C2×C4×C137—21no—
775C2×C4×C137—21no—
776C2×C4×C137—21no—
777C2×C4×C137—21no—
778C2×C4×C137—21no—
779C2×C4×C137—21no—
780C2×C4×C137—21no—
781C2×C4×C137—21no—
782C2×C4×C137—21no—
783C2×C4×C137—21no—
784C2×C4×C137—21no—
785C2×C4×C137—21no—
786C2×C4×C137—21no—
787C2×C4×C137—21no—
788C2×C4×C137—21no—
789C2×C4×C137—21no—
790C2×C4×C137—21no—
791C2×C4×C137—21no—
792C2×C4×C137—21no—
793C2×C4×C137—21no—
794C2×C4×C137—21no—
795C2×C4×C137—21no—
796C2×C4×C137—21no—
797C2×C4×C137—21no—
798C2×C4×C137—21no—
799C2×C4×C137—21no—
800C2×C4×C137—21no—
801C2×C4×C137—21no—
802C2×C4×C137—21no—
803C2×C4×C137—21no—
804C2×C4×C137—21no—
805C2×C4×C137—21no—
806C2×C4×C137—21no—
807C2×C4×C137—21no—
808C2×C4×C137—21no—
809C2×C4×C137—44no—
810C2×C4×C137—44no—
811C2×C4×C137—44no—
812C2×C4×C137—44no—
813C2×C4×C137—44no—
814C2×C4×C137—44no—
815C2×C4×C137—44no—
816C2×C4×C137—44no—
817C2×C4×C137—44no—
818C2×C4×C137—44no—
819C2×C4×C137—44no—
820C2×C4×C137—44no—
821C2×C4×C137—82no—
822C2×C4×C137—82no—
823C2×C4×C137—82no—
824C2×C4×C137C22×D412yes—
825C2×C4×C137C22×D412yes—
826C2×C4×C137C22×D412yes—
827C2×C4×C137C22×D412yes—
828C2×C4×C137C22×D412yes—
829C2×C4×C137C2×#4112yes—
830C2×C4×C137H(5,𝔽2)12yes—
831C22×C137—22no—
832C22×C137—22no—
833C22×C137—22no—
834C22×C137—22no—
835C22×C137—22no—
836C22×C137—22no—
837C22×C137—22no—
838C22×C137—22no—
839C22×C137—22no—
840C22×C137—22no—
841C22×C137—22no—
842C22×C137—22no—
843C22×C137—22no—
844C22×C137—22no—
845C22×C137—22no—
846C22×C137—22no—
847C22×C137—22no—
848C22×C137—22no—
849C22×C137—22no—
850C22×C137—22no—
851C22×C137—22no—
852C22×C137—416no—
853C22×C137—416no—
854C22×C137—41no—
855C22×C137—41no—
856C22×C137—41no—
857C22×C137—41no—
858C22×C137—41no—
859C22×C137—41no—
860C22×C137—41no—
861C22×C137—41no—
862C22×C137—41no—
863C22×C137—41no—
864C22×C137—41no—
865C22×C137—41no—
866C22×C137—41no—
867C22×C137—41no—
868C22×C137—41no—
869C22×C137—41no—
870C22×C137—41no—
871C22×C137—41no—
872C22×C137—41no—
873C22×C137—41no—
874C22×C137—41no—
875C22×C137—41no—
876C22×C137—41no—
877C22×C137—41no—
878C22×C137—41no—
879C22×C137—41no—
880C22×C137—41no—
881C22×C137—41no—
882C22×C137—41no—
883C22×C137—41no—
884C22×C137—41no—
885C22×C137—41no—
886C22×C137—41no—
887C22×C137—88no—
888C22×C137#52514yes—
889C22×C137#53814yescomplemented
890C22×C137C23×D411yescharacteristic
891C22×C137C22×#4111yescharacteristic
892C22×C137C22×#4111yescharacteristic
893C22×C137C2×H(5,𝔽2)11yescharacteristic
894C22×C137C2×H(5,𝔽2)11yescharacteristic
895C22×C137C2×H(5,𝔽2)11yescharacteristic
896C22×C137#58511yescharacteristic
897C4×C137—22no—
898C4×C137—22no—
899C4×C137—22no—
900C4×C137—22no—
901C4×C137—22no—
902C4×C137—22no—
903C4×C137—22no—
904C4×C137—41no—
905C4×C137—41no—
906C4×C137—41no—
907C4×C137—41no—
908C4×C137—41no—
909C4×C137—41no—
910C4×C137—41no—
911C4×C137—41no—
912C4×C137—41no—
913C4×C137—41no—
914C4×C137—41no—
915C4×C137—41no—
916C4×C137—41no—
917C4×C137—41no—
918C4×C137—41no—
919C4×C137—41no—
920C2×C137—24no—
921C2×C137—24no—
922C2×C137—42no—
923C2×C137—42no—
924C2×C137—42no—
925C2×C137—81no—
926C2×C137—81no—
927C2×C137—81no—
928C2×C137C2×#52511yescharacteristic
929C2×C137C2×#53811yescharacteristic
930C2×C137#345911yescharacteristic
931C2×C137#348411yescharacteristic
932C2×C137#348811yescharacteristic
933C2×C137#351311yescharacteristic
934C2×C137#351911yescharacteristic
935#34990C13711yesmaximal, characteristic, direct product factor, Sylow
936C137#3499011yescharacteristic, direct product factor, Sylow
937C2×#538C2×C13711yescharacteristic, complemented
938C22×C4×D4C2×C13711yescharacteristic, complemented
939#2852C2×C13711yescharacteristic, complemented
940#2850C2×C13711yescharacteristic, complemented
941#2849C2×C13711yescharacteristic, complemented
942#2847C2×C13711yescharacteristic, complemented
943#2636C2×C13711yescharacteristic, complemented
944#2635C2×C13711yescharacteristic, complemented
945#2631C2×C13711yescharacteristic, complemented
946#2630C2×C13711yescharacteristic, complemented
947#2481C2×C13711yescharacteristic, complemented
948#2472C2×C13711yescharacteristic, complemented
949#2467C2×C13711yescharacteristic, complemented
950#2459C2×C13711yescharacteristic, complemented
951#2456C2×C13711yescharacteristic, complemented
952#2456C2×C13711yescharacteristic, complemented
953#2450C2×C13711yescharacteristic, complemented
954#2444C2×C13711yescharacteristic, complemented
955#2443C2×C13711yescharacteristic, complemented
956#2437C2×C13711yescharacteristic, complemented
957#2424C2×C13711yescharacteristic, complemented
958#2424C2×C13711yescharacteristic, complemented
959#2418C2×C13711yescharacteristic, complemented
960#2410C2×C13711yescharacteristic, complemented
961#2410C2×C13711yescharacteristic, complemented
962#2403C2×C13711yescharacteristic, complemented
963#2325C2×C13711yescharacteristic, complemented
964#2321C2×C13711yescharacteristic, complemented
965#2318C2×C13711yescharacteristic, complemented
966C4×#120C2×C13711yescharacteristic, complemented
967C2×#386C2×C13711yescharacteristic, complemented
968C23×D4C22×C13711yescharacteristic
969C23×D4C22×C13711yescharacteristic
970C24×C4C22×C13711yescharacteristic
971C24×C4C22×C13711yescharacteristic, complemented
972#538—28no—
973C2×#126C22×C13711yescharacteristic, complemented
974C2×#126C22×C13711yescharacteristic, complemented
975C2×#124C22×C13711yescharacteristic, complemented
976C2×#124C22×C13711yescharacteristic, complemented
977C2×#123C22×C13711yescharacteristic, complemented
978C2×#123C22×C13711yescharacteristic, complemented
979C2×#123C22×C13711yescharacteristic, complemented
980C2×C22⋊Q8C22×C13711yescharacteristic, complemented
981C2×C22⋊Q8C22×C13711yescharacteristic, complemented
982C2×#121C22×C13711yescharacteristic
983C2×#121C22×C13711yescharacteristic
984C2×#121C22×C13711yescharacteristic
985C2×#121C22×C13711yescharacteristic
986C2×#121C22×C13711yescharacteristic, complemented
987C2×#121C22×C13711yescharacteristic, complemented
988C2×#121C22×C13711yescharacteristic, complemented
989C2×#120C22×C13711yescharacteristic
990C2×#120C22×C13711yescharacteristic
991C2×#120C22×C13711yescharacteristic
992C2×#120C22×C13711yescharacteristic
993C2×#120C22×C13711yescharacteristic
994C2×#120C22×C13711yescharacteristic, complemented
995C2×#120C22×C13711yescharacteristic, complemented
996C2×C4×D4—28no—
997C2×C4×D4C22×C13711yescharacteristic
998C2×C4×D4C22×C13711yescharacteristic
999C2×C4×D4C22×C13711yescharacteristic
1000C2×C4×D4C22×C13711yescharacteristic
1001C2×C4×D4C22×C13711yescharacteristic, complemented
1002C2×C4×D4C22×C13711yescharacteristic, complemented
1003C2×C4×D4C22×C13711yescharacteristic, complemented
1004C2×C4×D4C22×C13711yescharacteristic, complemented
1005C2×C4×D4C22×C13711yescharacteristic, complemented
1006C2×C4×D4C22×C13711yescharacteristic, complemented
1007C2×C4×D4C22×C13711yescharacteristic, complemented
1008C22×C4⋊C4C22×C13711yescharacteristic, complemented
1009C22×C22⋊C4C22×C13711yescharacteristic
1010C22×C22⋊C4C22×C13711yescharacteristic
1011C22×C22⋊C4C22×C13711yescharacteristic, complemented
1012C22×C22⋊C4C22×C13711yescharacteristic, complemented
1013C22×C22⋊C4C22×C13711yescharacteristic, complemented
1014C22×C42C22×C13711yescharacteristic, complemented
1015#400C22×C13711yescharacteristic, complemented
1016#400C22×C13711yescharacteristic, complemented
1017#399C22×C13711yescharacteristic, complemented
1018#399C22×C13711yescharacteristic, complemented
1019#398C22×C13711yescharacteristic, complemented
1020#397C22×C13711yescharacteristic, complemented
1021#397C22×C13711yescharacteristic, complemented
1022#397C22×C13711yescharacteristic, complemented
1023#396C22×C13711yescharacteristic, complemented
1024#396C22×C13711yescharacteristic, complemented
1025#396C22×C13711yescharacteristic, complemented
1026#396C22×C13711yescharacteristic, complemented
1027#394C22×C13711yescharacteristic, complemented
1028#394C22×C13711yescharacteristic, complemented
1029#394C22×C13711yescharacteristic, complemented
1030#394C22×C13711yescharacteristic, complemented
1031#394C22×C13711yescharacteristic, complemented
1032#394C22×C13711yescharacteristic, complemented
1033#394C22×C13711yescharacteristic, complemented
1034#394C22×C13711yescharacteristic, complemented
1035#394C22×C13711yescharacteristic, complemented
1036#393C22×C13711yescharacteristic, complemented
1037#393C22×C13711yescharacteristic, complemented
1038#392C22×C13711yescharacteristic
1039#392C22×C13711yescharacteristic
1040#392C22×C13711yescharacteristic
1041#392C22×C13711yescharacteristic
1042#392C22×C13711yescharacteristic, complemented
1043#392C22×C13711yescharacteristic, complemented
1044#392C22×C13711yescharacteristic, complemented
1045#392C22×C13711yescharacteristic, complemented
1046#392C22×C13711yescharacteristic, complemented
1047#391C22×C13711yescharacteristic, complemented
1048#390C22×C13711yescharacteristic, complemented
1049#390C22×C13711yescharacteristic, complemented
1050#390C22×C13711yescharacteristic, complemented
1051#388C22×C13711yescharacteristic, complemented
1052#388C22×C13711yescharacteristic, complemented
1053#388C22×C13711yescharacteristic, complemented
1054#388C22×C13711yescharacteristic, complemented
1055#388C22×C13711yescharacteristic, complemented
1056#388C22×C13711yescharacteristic, complemented
1057#388C22×C13711yescharacteristic, complemented
1058#388C22×C13711yescharacteristic, complemented
1059#388C22×C13711yescharacteristic, complemented
1060#388C22×C13711yescharacteristic, complemented
1061#388C22×C13711yescharacteristic, complemented
1062#388C22×C13711yescharacteristic, complemented
1063#387C22×C13711yescharacteristic, complemented
1064#387C22×C13711yescharacteristic, complemented
1065#387C22×C13711yescharacteristic, complemented
1066#387C22×C13711yescharacteristic, complemented
1067#387C22×C13711yescharacteristic, complemented
1068#387C22×C13711yescharacteristic, complemented
1069#386C22×C13711yescharacteristic
1070#386C22×C13711yescharacteristic
1071#386C22×C13711yescharacteristic
1072#386C22×C13711yescharacteristic
1073#386C22×C13711yescharacteristic
1074#386C22×C13711yescharacteristic
1075#386C22×C13711yescharacteristic
1076#386C22×C13711yescharacteristic
1077#386C22×C13711yescharacteristic
1078#386C22×C13711yescharacteristic
1079#386C22×C13711yescharacteristic
1080#386C22×C13711yescharacteristic
1081#386C22×C13711yescharacteristic, complemented
1082#386C22×C13711yescharacteristic, complemented
1083#386C22×C13711yescharacteristic, complemented
1084#386C22×C13711yescharacteristic, complemented
1085#386C22×C13711yescharacteristic, complemented
1086#386C22×C13711yescharacteristic, complemented
1087#386C22×C13711yescharacteristic, complemented
1088#386C22×C13711yescharacteristic, complemented
1089#386C22×C13711yescharacteristic, complemented
1090#386C22×C13711yescharacteristic, complemented
1091#386C22×C13711yescharacteristic, complemented
1092#386C22×C13711yescharacteristic, complemented
1093#386C22×C13711yescharacteristic, complemented
1094#386C22×C13711yescharacteristic, complemented
1095#386C22×C13711yescharacteristic, complemented
1096#386C22×C13711yescharacteristic, complemented
1097#385C22×C13711yescharacteristic, complemented
1098#385C22×C13711yescharacteristic, complemented
1099#385C22×C13711yescharacteristic, complemented
1100#385C22×C13711yescharacteristic, complemented
1101#385C22×C13711yescharacteristic, complemented
1102#385C22×C13711yescharacteristic, complemented
1103#385C22×C13711yescharacteristic, complemented
1104#385C22×C13711yescharacteristic, complemented
1105#385C22×C13711yescharacteristic, complemented
1106#385C22×C13711yescharacteristic, complemented
1107#385C22×C13711yescharacteristic, complemented
1108#385C22×C13711yescharacteristic, complemented
1109#383C22×C13711yescharacteristic, complemented
1110#382C22×C13711yescharacteristic, complemented
1111#381C22×C13711yescharacteristic, complemented
1112#381C22×C13711yescharacteristic, complemented
1113#380C22×C13711yescharacteristic, complemented
1114#380C22×C13711yescharacteristic, complemented
1115#380C22×C13711yescharacteristic, complemented
1116#380C22×C13711yescharacteristic, complemented
1117#379C22×C13711yescharacteristic
1118#379C22×C13711yescharacteristic, complemented
1119#379C22×C13711yescharacteristic, complemented
1120C4×C22⋊C4C22×C13711yescharacteristic, complemented
1121C4×C22⋊C4C22×C13711yescharacteristic, complemented
1122C4×C22⋊C4C22×C13711yescharacteristic, complemented
1123C2×#95C22×C13711yescharacteristic, complemented
1124C2×#95C22×C13711yescharacteristic, complemented
1125C25C23×C13711yescharacteristic
1126C25C23×C13711yescharacteristic
1127C25C23×C13711yescharacteristic
1128C22×Q8C23×C13711yescharacteristic
1129C22×D4—24no—
1130C22×D4—24no—
1131C22×D4—24no—
1132C22×D4—24no—
1133C22×D4—42no—
1134C22×D4—42no—
1135C22×D4C23×C13711yescharacteristic
1136C22×D4C23×C13711yescharacteristic
1137C22×D4C23×C13711yescharacteristic
1138C22×D4C23×C13711yescharacteristic
1139C22×D4C23×C13711yescharacteristic
1140C22×D4C23×C13711yescharacteristic
1141C22×D4C23×C13711yescharacteristic
1142C22×D4C23×C13711yescharacteristic
1143C22×D4C23×C13711yescharacteristic
1144C22×D4C23×C13711yescharacteristic
1145C22×D4C23×C13711yescharacteristic
1146C22×D4C23×C13711yescharacteristic
1147C22×D4C23×C13711yescharacteristic
1148C22×D4C23×C13711yescharacteristic
1149C22×D4C23×C13711yescharacteristic
1150C22×D4C23×C13711yescharacteristic
1151C22×D4C23×C13711yescharacteristic
1152C22×D4C23×C13711yescharacteristic
1153C22×D4C23×C13711yescharacteristic
1154C23×C4—24no—
1155C23×C4—24no—
1156C23×C4—42no—
1157C23×C4—42no—
1158C23×C4—42no—
1159C23×C4—42no—
1160C23×C4C23×C13711yescharacteristic
1161C23×C4C23×C13711yescharacteristic
1162C23×C4C23×C13711yescharacteristic
1163C23×C4C23×C13711yescharacteristic
1164C23×C4C23×C13711yescharacteristic
1165C23×C4C23×C13711yescharacteristic
1166C23×C4C23×C13711yescharacteristic
1167C23×C4C23×C13711yescharacteristic
1168C23×C4C23×C13711yescharacteristic
1169C23×C4C23×C13711yescharacteristic
1170C23×C4C23×C13711yescharacteristic
1171C23×C4C23×C13711yescharacteristic
1172C23×C4C23×C13711yescharacteristic
1173C23×C4C23×C13711yescharacteristic
1174C23×C4C23×C13711yescharacteristic
1175C23×C4C23×C13711yescharacteristic
1176C23×C4C23×C13711yescharacteristic
1177#126—24no—
1178#126—24no—
1179#124—24no—
1180#124—24no—
1181#123—24no—
1182#123—24no—
1183#123—42no—
1184C22⋊Q8—24no—
1185C22⋊Q8—42no—
1186#121—24no—
1187#121—24no—
1188#121—24no—
1189#121—24no—
1190#121—42no—
1191#121—42no—
1192#121—42no—
1193#120—24no—
1194#120—24no—
1195#120—24no—
1196#120—24no—
1197#120—42no—
1198#120—42no—
1199#120—42no—
1200C4×D4—24no—
1201C4×D4—24no—
1202C4×D4—24no—
1203C4×D4—24no—
1204C4×D4—24no—
1205C4×D4—24no—
1206C4×D4—24no—
1207C4×D4—24no—
1208C4×D4—42no—
1209C4×D4—42no—
1210C4×D4D4×C13718yescomplemented
1211C2×C4⋊C4—24no—
1212C2×C4⋊C4C23×C13711yescharacteristic
1213C2×C4⋊C4C23×C13711yescharacteristic
1214C2×C4⋊C4C23×C13711yescharacteristic
1215C2×C4⋊C4C23×C13711yescharacteristic
1216C2×C4⋊C4C23×C13711yescharacteristic
1217C2×C4⋊C4C23×C13711yescharacteristic
1218C2×C4⋊C4C23×C13711yescharacteristic
1219C2×C4⋊C4C23×C13711yescharacteristic
1220C2×C4⋊C4C23×C13711yescharacteristic
1221C2×C4⋊C4C23×C13711yescharacteristic
1222C2×C4⋊C4C23×C13711yescharacteristic
1223C2×C4⋊C4C23×C13711yescharacteristic
1224C2×C4⋊C4C23×C13711yescharacteristic
1225C2×C4⋊C4C23×C13711yescharacteristic
1226C2×C4⋊C4C23×C13711yescharacteristic
1227C2×C4⋊C4C23×C13711yescharacteristic
1228C2×C4⋊C4C23×C13711yescharacteristic
1229C2×C4⋊C4C23×C13711yescharacteristic
1230C2×C4⋊C4C23×C13711yescharacteristic
1231C2×C4⋊C4C23×C13711yescharacteristic
1232C2×C22⋊C4—24no—
1233C2×C22⋊C4—24no—
1234C2×C22⋊C4—24no—
1235C2×C22⋊C4—42no—
1236C2×C22⋊C4—42no—
1237C2×C22⋊C4C23×C13711yescharacteristic
1238C2×C22⋊C4C23×C13711yescharacteristic
1239C2×C22⋊C4C23×C13711yescharacteristic
1240C2×C22⋊C4C23×C13711yescharacteristic
1241C2×C22⋊C4C23×C13711yescharacteristic
1242C2×C22⋊C4C23×C13711yescharacteristic
1243C2×C22⋊C4C23×C13711yescharacteristic
1244C2×C22⋊C4C23×C13711yescharacteristic
1245C2×C22⋊C4C23×C13711yescharacteristic
1246C2×C22⋊C4C23×C13711yescharacteristic
1247C2×C22⋊C4C23×C13711yescharacteristic
1248C2×C22⋊C4C23×C13711yescharacteristic
1249C2×C22⋊C4C23×C13711yescharacteristic
1250C2×C22⋊C4C23×C13711yescharacteristic
1251C2×C22⋊C4C23×C13711yescharacteristic
1252C2×C22⋊C4C23×C13711yescharacteristic
1253C2×C22⋊C4C23×C13711yescharacteristic
1254C2×C22⋊C4C23×C13711yescharacteristic
1255C2×C22⋊C4C23×C13711yescharacteristic
1256C2×C22⋊C4C23×C13711yescharacteristic
1257C2×C22⋊C4C23×C13711yescharacteristic
1258C2×C22⋊C4C23×C13711yescharacteristic
1259C2×C22⋊C4C23×C13711yescharacteristic
1260C2×C22⋊C4C23×C13711yescharacteristic
1261C2×C22⋊C4C23×C13711yescharacteristic
1262C2×C22⋊C4C23×C13711yescharacteristic
1263C2×C22⋊C4C23×C13711yescharacteristic
1264C2×C22⋊C4C23×C13711yescharacteristic
1265C2×C22⋊C4C23×C13711yescharacteristic
1266C2×C22⋊C4C23×C13711yescharacteristic
1267C2×C22⋊C4C23×C13711yescharacteristic
1268C2×C22⋊C4C23×C13711yescharacteristic
1269C2×C22⋊C4C23×C13711yescharacteristic
1270C2×C22⋊C4C23×C13711yescharacteristic
1271C2×C22⋊C4C23×C13711yescharacteristic
1272C2×C22⋊C4C23×C13711yescharacteristic
1273C2×C22⋊C4C23×C13711yescharacteristic
1274C2×C22⋊C4C23×C13711yescharacteristic
1275C2×C22⋊C4C23×C13711yescharacteristic
1276C2×C22⋊C4C23×C13711yescharacteristic
1277C2×C22⋊C4C23×C13711yescharacteristic
1278C2×C22⋊C4C23×C13711yescharacteristic
1279C2×C22⋊C4C23×C13711yescharacteristic
1280C2×C22⋊C4C23×C13711yescharacteristic
1281C2×C22⋊C4C23×C13711yescharacteristic
1282C2×C22⋊C4C23×C13711yescharacteristic
1283C2×C22⋊C4C23×C13711yescharacteristic
1284C2×C22⋊C4C23×C13711yescharacteristic
1285C2×C22⋊C4C23×C13711yescharacteristic
1286C2×C22⋊C4C23×C13711yescharacteristic
1287C2×C22⋊C4C23×C13711yescharacteristic
1288C2×C22⋊C4C23×C13711yescharacteristic
1289C2×C22⋊C4C23×C13711yescharacteristic
1290C2×C22⋊C4C23×C13711yescharacteristic
1291C2×C22⋊C4C23×C13711yescharacteristic
1292C2×C22⋊C4C23×C13711yescharacteristic
1293C2×C42—24no—
1294C2×C42C23×C13711yescharacteristic
1295C2×C42C23×C13711yescharacteristic
1296C2×C42C23×C13711yescharacteristic
1297C2×C42C23×C13711yescharacteristic
1298C2×C42C23×C13711yescharacteristic
1299C2×C42C23×C13711yescharacteristic
1300C2×C42C23×C13711yescharacteristic
1301#95C23×C13711yescharacteristic
1302#95C23×C13711yescharacteristic
1303#95C23×C13711yescharacteristic
1304#95C23×C13711yescharacteristic
1305#95C23×C13711yescharacteristic
1306#95C23×C13711yescharacteristic
1307#95C23×C13711yescharacteristic
1308#95C23×C13711yescharacteristic
1309#95C23×C13711yescharacteristic
1310#95C23×C13711yescharacteristic
1311#95C23×C13711yescharacteristic
1312#95C23×C13711yescharacteristic
1313#95C23×C13711yescharacteristic
1314#95C23×C13711yescharacteristic
1315#95C23×C13711yescharacteristic
1316#95C23×C13711yescharacteristic
1317#95C23×C13711yescharacteristic
1318#95C23×C13711yescharacteristic
1319#95C23×C13711yescharacteristic
1320#95C23×C13711yescharacteristic
1321#95C23×C13711yescharacteristic
1322#95C23×C13711yescharacteristic
1323#95C23×C13711yescharacteristic
1324#95C23×C13711yescharacteristic
1325#95C23×C13711yescharacteristic
1326#95C23×C13711yescharacteristic
1327#95C23×C13711yescharacteristic
1328#95C23×C13711yescharacteristic
1329#95C23×C13711yescharacteristic
1330#95C23×C13711yescharacteristic
1331#95C23×C13711yescharacteristic
1332#95C23×C13711yescharacteristic
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—22no—
1341C24—22no—
1342C24—22no—
1343C24—22no—
1344C24—22no—
1345C24—41no—
1346C24—41no—
1347C24—41no—
1348C24—41no—
1349C24—41no—
1350C24—41no—
1351C24—41no—
1352C24—41no—
1353C24#41×C13714yes—
1354C24C24×C13711yescharacteristic
1355C24C24×C13711yescharacteristic
1356C24C24×C13711yescharacteristic
1357C24C24×C13711yescharacteristic
1358C24C24×C13711yescharacteristic
1359C24C24×C13711yescharacteristic
1360C24C24×C13711yescharacteristic
1361C24C24×C13711yescharacteristic
1362C2×Q8—22no—
1363C2×Q8—41no—
1364C2×Q8—41no—
1365C2×D4—232no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—22no—
1384C2×D4—22no—
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—41no—
1421C2×D4—416no—
1422C2×D4C2×D4×C13714yes—
1423C2×D4#41×C13714yes—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—41no—
1451C22×C4—41no—
1452C22×C4—41no—
1453C22×C4—41no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—41no—
1457C22×C4—41no—
1458C22×C4—41no—
1459C22×C4—41no—
1460C22×C4—41no—
1461C22×C4—41no—
1462C22×C4—41no—
1463C22×C4—41no—
1464C22×C4—41no—
1465C22×C4—41no—
1466C22×C4—41no—
1467C22×C4—41no—
1468C22×C4—41no—
1469C22×C4—41no—
1470C22×C4—41no—
1471C22×C4—41no—
1472C22×C4—41no—
1473C22×C4—416no—
1474C22×C4—416no—
1475C22×C4C2×D4×C13714yes—
1476C22×C4C2×D4×C13714yescomplemented
1477C22×C4C24×C13711yescharacteristic
1478C22×C4C24×C13711yescharacteristic
1479C22×C4C24×C13711yescharacteristic
1480C22×C4C24×C13711yescharacteristic
1481C22×C4C24×C13711yescharacteristic
1482C22×C4C24×C13711yescharacteristic
1483C22×C4C24×C13711yescharacteristic
1484C22×C4C24×C13711yescharacteristic
1485C22×C4C24×C13711yescharacteristic
1486C22×C4C24×C13711yescharacteristic
1487C22×C4C24×C13711yescharacteristic
1488C22×C4C24×C13711yescharacteristic
1489C22×C4C24×C13711yescharacteristic
1490C22×C4C24×C13711yescharacteristic
1491C22×C4C24×C13711yescharacteristic
1492C22×C4C24×C13711yescharacteristic
1493C22×C4C24×C13711yescharacteristic
1494C22×C4C24×C13711yescharacteristic
1495C22×C4C24×C13711yescharacteristic
1496C22×C4C24×C13711yescharacteristic
1497C22×C4C24×C13711yescharacteristic
1498C22×C4C24×C13711yescharacteristic
1499C22×C4C24×C13711yescharacteristic
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—41no—
1511C4⋊C4—41no—
1512C4⋊C4—41no—
1513C4⋊C4—41no—
1514C4⋊C4—41no—
1515C4⋊C4—41no—
1516C4⋊C4—41no—
1517C4⋊C4—41no—
1518C4⋊C4—41no—
1519C4⋊C4C2×D4×C13714yescomplemented
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—22no—
1532C22⋊C4—22no—
1533C22⋊C4—22no—
1534C22⋊C4—22no—
1535C22⋊C4—22no—
1536C22⋊C4—22no—
1537C22⋊C4—22no—
1538C22⋊C4—22no—
1539C22⋊C4—22no—
1540C22⋊C4—22no—
1541C22⋊C4—22no—
1542C22⋊C4—22no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—22no—
1550C22⋊C4—22no—
1551C22⋊C4—22no—
1552C22⋊C4—22no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—41no—
1557C22⋊C4—41no—
1558C22⋊C4—41no—
1559C22⋊C4—41no—
1560C22⋊C4—41no—
1561C22⋊C4—41no—
1562C22⋊C4—41no—
1563C22⋊C4—41no—
1564C22⋊C4—41no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—41no—
1573C22⋊C4—41no—
1574C22⋊C4C2×D4×C13714yes—
1575C22⋊C4C2×D4×C13714yescomplemented
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—41no—
1581C42—41no—
1582C42C2×D4×C13714yescomplemented
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—28no—
1592C23—28no—
1593C23—28no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—44no—
1634C23—44no—
1635C23—44no—
1636C23—44no—
1637C23—44no—
1638C23—44no—
1639C23—44no—
1640C23—44no—
1641C23—44no—
1642C23—44no—
1643C23—44no—
1644C23—44no—
1645C23—44no—
1646C23—44no—
1647C23—82no—
1648C23—82no—
1649C23—82no—
1650C23—82no—
1651C23C22×D4×C13712yes—
1652C23C22×D4×C13712yes—
1653C23C2×#41×C13712yes—
1654C23C2×#41×C13712yes—
1655C23C2×#41×C13712yes—
1656C23C2×#41×C13712yes—
1657C23C2×#41×C13712yes—
1658C23H(5,𝔽2)×C13712yes—
1659C23H(5,𝔽2)×C13712yes—
1660C23C25×C13711yescharacteristic
1661Q8—82no—
1662D4—28no—
1663D4—28no—
1664D4—28no—
1665D4—28no—
1666D4—44no—
1667D4—44no—
1668D4—44no—
1669D4—44no—
1670D4—44no—
1671D4—44no—
1672D4—44no—
1673D4—82no—
1674D4—82no—
1675D4—82no—
1676D4—82no—
1677D4—82no—
1678D4—82no—
1679D4—82no—
1680D4—82no—
1681C2×C4—28no—
1682C2×C4—28no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—44no—
1746C2×C4—44no—
1747C2×C4—44no—
1748C2×C4—44no—
1749C2×C4—44no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—44no—
1756C2×C4—44no—
1757C2×C4—82no—
1758C2×C4—82no—
1759C2×C4—82no—
1760C2×C4C22×D4×C13712yes—
1761C2×C4C22×D4×C13712yes—
1762C2×C4C22×D4×C13712yes—
1763C2×C4C22×D4×C13712yes—
1764C2×C4C22×D4×C13712yes—
1765C2×C4C2×#41×C13712yes—
1766C2×C4H(5,𝔽2)×C13712yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—416no—
1789C22—416no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—88no—
1824C22#525×C13714yes—
1825C22#538×C13714yescomplemented
1826C22C23×D4×C13711yescharacteristic
1827C22C22×#41×C13711yescharacteristic
1828C22C22×#41×C13711yescharacteristic
1829C22C2×H(5,𝔽2)×C13711yescharacteristic
1830C22C2×H(5,𝔽2)×C13711yescharacteristic
1831C22C2×H(5,𝔽2)×C13711yescharacteristic
1832C22#585×C13711yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—42no—
1860C2—42no—
1861C2—81no—
1862C2—81no—
1863C2—81no—
1864C2C2×#525×C13711yescharacteristic
1865C2C2×#538×C13711yescharacteristic
1866C2#3459×C13711yescharacteristic
1867C2#3484×C13711yescharacteristic
1868C2#3488×C13711yescharacteristic
1869C2#3513×C13711yescharacteristic
1870C2#3519×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. C2×#538×C137C2semidirect
2. C22×C4×D4×C137C2semidirect
3. #2852×C137C2semidirect
4. #2850×C137C2semidirect
5. #2849×C137C2semidirect
6. #2847×C137C2semidirect
7. #2636×C137C2semidirect
8. #2635×C137C2semidirect
9. #2631×C137C2semidirect
10. #2630×C137C2semidirect
11. #2481×C137C2semidirect
12. #2472×C137C2semidirect
13. #2467×C137C2semidirect
14. #2459×C137C2semidirect
15. #2456×C137C2semidirect
16. #2456×C137C2semidirect
17. #2450×C137C2semidirect
18. #2444×C137C2semidirect
19. #2443×C137C2semidirect
20. #2437×C137C2semidirect
21. #2424×C137C2semidirect
22. #2424×C137C2semidirect
23. #2418×C137C2semidirect
24. #2410×C137C2semidirect
25. #2410×C137C2semidirect
26. #2403×C137C2semidirect
27. #2325×C137C2semidirect
28. #2321×C137C2semidirect
29. #2318×C137C2semidirect
30. C4×#120×C137C2semidirect
31. C2×#386×C137C2semidirect
35. C24×C4×C137C22semidirect
37. C2×#126×C137C22semidirect
38. C2×#126×C137C22semidirect
39. C2×#124×C137C22semidirect
40. C2×#124×C137C22semidirect
41. C2×#123×C137C22semidirect
42. C2×#123×C137C22semidirect
43. C2×#123×C137C22semidirect
44. C2×C22⋊Q8×C137C22semidirect
45. C2×C22⋊Q8×C137C22semidirect
50. C2×#121×C137C22semidirect
51. C2×#121×C137C22semidirect
52. C2×#121×C137C22semidirect
58. C2×#120×C137C22semidirect
59. C2×#120×C137C22semidirect
65. C2×C4×D4×C137C22semidirect
66. C2×C4×D4×C137C22semidirect
67. C2×C4×D4×C137C22semidirect
68. C2×C4×D4×C137C22semidirect
69. C2×C4×D4×C137C22semidirect
70. C2×C4×D4×C137C22semidirect
71. C2×C4×D4×C137C22semidirect
72. C22×C4⋊C4×C137C22semidirect
75. C22×C22⋊C4×C137C22semidirect
76. C22×C22⋊C4×C137C22semidirect
77. C22×C22⋊C4×C137C22semidirect
78. C22×C42×C137C22semidirect
79. #400×C137C22semidirect
80. #400×C137C22semidirect
81. #399×C137C22semidirect
82. #399×C137C22semidirect
83. #398×C137C22semidirect
84. #397×C137C22semidirect
85. #397×C137C22semidirect
86. #397×C137C22semidirect
87. #396×C137C22semidirect
88. #396×C137C22semidirect
89. #396×C137C22semidirect
90. #396×C137C22semidirect
91. #394×C137C22semidirect
92. #394×C137C22semidirect
93. #394×C137C22semidirect
94. #394×C137C22semidirect
95. #394×C137C22semidirect
96. #394×C137C22semidirect
97. #394×C137C22semidirect
98. #394×C137C22semidirect
99. #394×C137C22semidirect
100. #393×C137C22semidirect
101. #393×C137C22semidirect
106. #392×C137C22semidirect
107. #392×C137C22semidirect
108. #392×C137C22semidirect
109. #392×C137C22semidirect
110. #392×C137C22semidirect
111. #391×C137C22semidirect
112. #390×C137C22semidirect
113. #390×C137C22semidirect
114. #390×C137C22semidirect
115. #388×C137C22semidirect
116. #388×C137C22semidirect
117. #388×C137C22semidirect
118. #388×C137C22semidirect
119. #388×C137C22semidirect
120. #388×C137C22semidirect
121. #388×C137C22semidirect
122. #388×C137C22semidirect
123. #388×C137C22semidirect
124. #388×C137C22semidirect
125. #388×C137C22semidirect
126. #388×C137C22semidirect
127. #387×C137C22semidirect
128. #387×C137C22semidirect
129. #387×C137C22semidirect
130. #387×C137C22semidirect
131. #387×C137C22semidirect
132. #387×C137C22semidirect
145. #386×C137C22semidirect
146. #386×C137C22semidirect
147. #386×C137C22semidirect
148. #386×C137C22semidirect
149. #386×C137C22semidirect
150. #386×C137C22semidirect
151. #386×C137C22semidirect
152. #386×C137C22semidirect
153. #386×C137C22semidirect
154. #386×C137C22semidirect
155. #386×C137C22semidirect
156. #386×C137C22semidirect
157. #386×C137C22semidirect
158. #386×C137C22semidirect
159. #386×C137C22semidirect
160. #386×C137C22semidirect
161. #385×C137C22semidirect
162. #385×C137C22semidirect
163. #385×C137C22semidirect
164. #385×C137C22semidirect
165. #385×C137C22semidirect
166. #385×C137C22semidirect
167. #385×C137C22semidirect
168. #385×C137C22semidirect
169. #385×C137C22semidirect
170. #385×C137C22semidirect
171. #385×C137C22semidirect
172. #385×C137C22semidirect
173. #383×C137C22semidirect
174. #382×C137C22semidirect
175. #381×C137C22semidirect
176. #381×C137C22semidirect
177. #380×C137C22semidirect
178. #380×C137C22semidirect
179. #380×C137C22semidirect
180. #380×C137C22semidirect
182. #379×C137C22semidirect
183. #379×C137C22semidirect
184. C4×C22⋊C4×C137C22semidirect
185. C4×C22⋊C4×C137C22semidirect
186. C4×C22⋊C4×C137C22semidirect
187. C2×#95×C137C22semidirect
188. C2×#95×C137C22semidirect
274. C4×D4×C137D4semidirect
540. C22×C4×C137C2×D4semidirect
583. C4⋊C4×C137C2×D4semidirect
639. C22⋊C4×C137C2×D4semidirect
646. C42×C137C2×D4semidirect
889. C22×C137#538semidirect
935. #34990C137direct (N × H)
936. C137#34990direct (N × H)
937. C2×#538C2×C137semidirect
938. C22×C4×D4C2×C137semidirect
939. #2852C2×C137semidirect
940. #2850C2×C137semidirect
941. #2849C2×C137semidirect
942. #2847C2×C137semidirect
943. #2636C2×C137semidirect
944. #2635C2×C137semidirect
945. #2631C2×C137semidirect
946. #2630C2×C137semidirect
947. #2481C2×C137semidirect
948. #2472C2×C137semidirect
949. #2467C2×C137semidirect
950. #2459C2×C137semidirect
951. #2456C2×C137semidirect
952. #2456C2×C137semidirect
953. #2450C2×C137semidirect
954. #2444C2×C137semidirect
955. #2443C2×C137semidirect
956. #2437C2×C137semidirect
957. #2424C2×C137semidirect
958. #2424C2×C137semidirect
959. #2418C2×C137semidirect
960. #2410C2×C137semidirect
961. #2410C2×C137semidirect
962. #2403C2×C137semidirect
963. #2325C2×C137semidirect
964. #2321C2×C137semidirect
965. #2318C2×C137semidirect
966. C4×#120C2×C137semidirect
967. C2×#386C2×C137semidirect
971. C24×C4C22×C137semidirect
973. C2×#126C22×C137semidirect
974. C2×#126C22×C137semidirect
975. C2×#124C22×C137semidirect
976. C2×#124C22×C137semidirect
977. C2×#123C22×C137semidirect
978. C2×#123C22×C137semidirect
979. C2×#123C22×C137semidirect
980. C2×C22⋊Q8C22×C137semidirect
981. C2×C22⋊Q8C22×C137semidirect
986. C2×#121C22×C137semidirect
987. C2×#121C22×C137semidirect
988. C2×#121C22×C137semidirect
994. C2×#120C22×C137semidirect
995. C2×#120C22×C137semidirect
1001. C2×C4×D4C22×C137semidirect
1002. C2×C4×D4C22×C137semidirect
1003. C2×C4×D4C22×C137semidirect
1004. C2×C4×D4C22×C137semidirect
1005. C2×C4×D4C22×C137semidirect
1006. C2×C4×D4C22×C137semidirect
1007. C2×C4×D4C22×C137semidirect
1008. C22×C4⋊C4C22×C137semidirect
1011. C22×C22⋊C4C22×C137semidirect
1012. C22×C22⋊C4C22×C137semidirect
1013. C22×C22⋊C4C22×C137semidirect
1014. C22×C42C22×C137semidirect
1015. #400C22×C137semidirect
1016. #400C22×C137semidirect
1017. #399C22×C137semidirect
1018. #399C22×C137semidirect
1019. #398C22×C137semidirect
1020. #397C22×C137semidirect
1021. #397C22×C137semidirect
1022. #397C22×C137semidirect
1023. #396C22×C137semidirect
1024. #396C22×C137semidirect
1025. #396C22×C137semidirect
1026. #396C22×C137semidirect
1027. #394C22×C137semidirect
1028. #394C22×C137semidirect
1029. #394C22×C137semidirect
1030. #394C22×C137semidirect
1031. #394C22×C137semidirect
1032. #394C22×C137semidirect
1033. #394C22×C137semidirect
1034. #394C22×C137semidirect
1035. #394C22×C137semidirect
1036. #393C22×C137semidirect
1037. #393C22×C137semidirect
1042. #392C22×C137semidirect
1043. #392C22×C137semidirect
1044. #392C22×C137semidirect
1045. #392C22×C137semidirect
1046. #392C22×C137semidirect
1047. #391C22×C137semidirect
1048. #390C22×C137semidirect
1049. #390C22×C137semidirect
1050. #390C22×C137semidirect
1051. #388C22×C137semidirect
1052. #388C22×C137semidirect
1053. #388C22×C137semidirect
1054. #388C22×C137semidirect
1055. #388C22×C137semidirect
1056. #388C22×C137semidirect
1057. #388C22×C137semidirect
1058. #388C22×C137semidirect
1059. #388C22×C137semidirect
1060. #388C22×C137semidirect
1061. #388C22×C137semidirect
1062. #388C22×C137semidirect
1063. #387C22×C137semidirect
1064. #387C22×C137semidirect
1065. #387C22×C137semidirect
1066. #387C22×C137semidirect
1067. #387C22×C137semidirect
1068. #387C22×C137semidirect
1081. #386C22×C137semidirect
1082. #386C22×C137semidirect
1083. #386C22×C137semidirect
1084. #386C22×C137semidirect
1085. #386C22×C137semidirect
1086. #386C22×C137semidirect
1087. #386C22×C137semidirect
1088. #386C22×C137semidirect
1089. #386C22×C137semidirect
1090. #386C22×C137semidirect
1091. #386C22×C137semidirect
1092. #386C22×C137semidirect
1093. #386C22×C137semidirect
1094. #386C22×C137semidirect
1095. #386C22×C137semidirect
1096. #386C22×C137semidirect
1097. #385C22×C137semidirect
1098. #385C22×C137semidirect
1099. #385C22×C137semidirect
1100. #385C22×C137semidirect
1101. #385C22×C137semidirect
1102. #385C22×C137semidirect
1103. #385C22×C137semidirect
1104. #385C22×C137semidirect
1105. #385C22×C137semidirect
1106. #385C22×C137semidirect
1107. #385C22×C137semidirect
1108. #385C22×C137semidirect
1109. #383C22×C137semidirect
1110. #382C22×C137semidirect
1111. #381C22×C137semidirect
1112. #381C22×C137semidirect
1113. #380C22×C137semidirect
1114. #380C22×C137semidirect
1115. #380C22×C137semidirect
1116. #380C22×C137semidirect
1118. #379C22×C137semidirect
1119. #379C22×C137semidirect
1120. C4×C22⋊C4C22×C137semidirect
1121. C4×C22⋊C4C22×C137semidirect
1122. C4×C22⋊C4C22×C137semidirect
1123. C2×#95C22×C137semidirect
1124. C2×#95C22×C137semidirect
1210. C4×D4D4×C137semidirect
1476. C22×C4C2×D4×C137semidirect
1519. C4⋊C4C2×D4×C137semidirect
1575. C22⋊C4C2×D4×C137semidirect
1582. C42C2×D4×C137semidirect
1825. C22#538×C137semidirect

Maximal subgroups

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

subgroupindex
C2×#538×C1372
C22×C4×D4×C1372
#2852×C1372
#2850×C1372
#2849×C1372
#2847×C1372
#2636×C1372
#2635×C1372
#2631×C1372
#2630×C1372
#2481×C1372
#2472×C1372
#2467×C1372
#2459×C1372
#2456×C1372
#2450×C1372
#2444×C1372
#2443×C1372
#2437×C1372
#2424×C1372
#2418×C1372
#2410×C1372
#2403×C1372
#2325×C1372
#2321×C1372
#2318×C1372
C4×#120×C1372
C2×#386×C1372
#34990137