Finite Group Databasebeta

← C137×#36724 #46886110

Subgroups — C137×#36724 #46886110

Order 35072.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#538×C137C211yesmaximal, characteristic, complemented
2C2×#525×C137C211yesmaximal, characteristic, complemented
3#2849×C137C211yesmaximal, characteristic, complemented
4#2847×C137C211yesmaximal, characteristic, complemented
5#2705×C137C211yesmaximal, characteristic, complemented
6#2702×C137C211yesmaximal, characteristic, complemented
7#2700×C137C211yesmaximal, characteristic, complemented
8#2699×C137C211yesmaximal, characteristic, complemented
9#2687×C137C211yesmaximal, characteristic, complemented
10#2682×C137C211yesmaximal, characteristic, complemented
11#2681×C137C211yesmaximal, characteristic, complemented
12#2681×C137C211yesmaximal, characteristic, complemented
13#2679×C137C211yesmaximal, characteristic, complemented
14#2678×C137C211yesmaximal, characteristic, complemented
15#2678×C137C211yesmaximal, characteristic, complemented
16#2678×C137C211yesmaximal, characteristic, complemented
17#2672×C137C211yesmaximal, characteristic, complemented
18#2670×C137C211yesmaximal, characteristic, complemented
19#2669×C137C211yesmaximal, characteristic, complemented
20#2669×C137C211yesmaximal, characteristic, complemented
21#2635×C137C211yesmaximal, characteristic, complemented
22#2630×C137C211yesmaximal, characteristic, complemented
23#2610×C137C211yesmaximal, characteristic, complemented
24#2603×C137C211yesmaximal, characteristic, complemented
25#2601×C137C211yesmaximal, characteristic, complemented
26#2600×C137C211yesmaximal, characteristic, complemented
27#2544×C137C211yesmaximal, characteristic, complemented
28#2534×C137C211yesmaximal, characteristic, complemented
29#2407×C137C211yesmaximal, characteristic, complemented
30#2404×C137C211yesmaximal, characteristic, complemented
31#2319×C137C211yesmaximal, characteristic, complemented
32C22×#41×C137C2211yescharacteristic
33C24×C4×C137C2211yescharacteristic, complemented
34#538×C137—28no—
35C2×#127×C137C2211yescharacteristic
36C2×#126×C137C2211yescharacteristic, complemented
37C2×#126×C137C2211yescharacteristic, complemented
38C2×#124×C137C2211yescharacteristic
39C2×#124×C137C2211yescharacteristic, complemented
40C2×#124×C137C2211yescharacteristic, complemented
41#525×C137—28no—
42C2×#123×C137C2211yescharacteristic
43C2×#123×C137C2211yescharacteristic
44C2×#123×C137C2211yescharacteristic
45C2×#123×C137C2211yescharacteristic
46C2×#123×C137C2211yescharacteristic, complemented
47C2×#123×C137C2211yescharacteristic, complemented
48C2×C22⋊Q8×C137C2211yescharacteristic, complemented
49C2×C22⋊Q8×C137C2211yescharacteristic, complemented
50C2×C22⋊Q8×C137C2211yescharacteristic, complemented
51C2×C22⋊Q8×C137C2211yescharacteristic, complemented
52C2×#121×C137C2211yescharacteristic
53C2×#121×C137C2211yescharacteristic
54C2×#121×C137C2211yescharacteristic
55C2×#121×C137C2211yescharacteristic
56C2×#121×C137C2211yescharacteristic
57C2×#121×C137C2211yescharacteristic
58C2×#121×C137C2211yescharacteristic
59C2×#121×C137C2211yescharacteristic, complemented
60C2×#120×C137C2211yescharacteristic
61C2×#120×C137C2211yescharacteristic
62C2×#120×C137C2211yescharacteristic
63C2×#120×C137C2211yescharacteristic
64C2×#120×C137C2211yescharacteristic
65C2×#120×C137C2211yescharacteristic
66C2×#120×C137C2211yescharacteristic, complemented
67C2×#120×C137C2211yescharacteristic, complemented
68C2×#120×C137C2211yescharacteristic, complemented
69C2×#120×C137C2211yescharacteristic, complemented
70C2×C4×D4×C137C2211yescharacteristic
71C2×C4×D4×C137C2211yescharacteristic
72C2×C4×D4×C137C2211yescharacteristic, complemented
73C2×C4×D4×C137C2211yescharacteristic, complemented
74C2×C4×D4×C137C2211yescharacteristic, complemented
75C2×#117×C137C2211yescharacteristic, complemented
76C22×C22⋊C4×C137C2211yescharacteristic, complemented
77#400×C137C2211yescharacteristic, complemented
78#399×C137C2211yescharacteristic, complemented
79#398×C137C2211yescharacteristic, complemented
80#398×C137C2211yescharacteristic, complemented
81#398×C137C2211yescharacteristic, complemented
82#397×C137C2211yescharacteristic, complemented
83#397×C137C2211yescharacteristic, complemented
84#397×C137C2211yescharacteristic, complemented
85#396×C137C2211yescharacteristic, complemented
86#396×C137C2211yescharacteristic, complemented
87#396×C137C2211yescharacteristic, complemented
88#396×C137C2211yescharacteristic, complemented
89#396×C137C2211yescharacteristic, complemented
90#396×C137C2211yescharacteristic, complemented
91#395×C137C2211yescharacteristic, complemented
92#394×C137C2211yescharacteristic
93#394×C137C2211yescharacteristic
94#394×C137C2211yescharacteristic
95#394×C137C2211yescharacteristic
96#394×C137C2211yescharacteristic
97#394×C137C2211yescharacteristic
98#394×C137C2211yescharacteristic
99#394×C137C2211yescharacteristic
100#394×C137C2211yescharacteristic, complemented
101#394×C137C2211yescharacteristic, complemented
102#394×C137C2211yescharacteristic, complemented
103#394×C137C2211yescharacteristic, complemented
104#394×C137C2211yescharacteristic, complemented
105#394×C137C2211yescharacteristic, complemented
106#394×C137C2211yescharacteristic, complemented
107#394×C137C2211yescharacteristic, complemented
108#394×C137C2211yescharacteristic, complemented
109#394×C137C2211yescharacteristic, complemented
110#394×C137C2211yescharacteristic, complemented
111#393×C137C2211yescharacteristic, complemented
112#393×C137C2211yescharacteristic, complemented
113#393×C137C2211yescharacteristic, complemented
114#392×C137C2211yescharacteristic
115#392×C137C2211yescharacteristic
116#392×C137C2211yescharacteristic
117#392×C137C2211yescharacteristic
118#392×C137C2211yescharacteristic
119#392×C137C2211yescharacteristic
120#392×C137C2211yescharacteristic
121#392×C137C2211yescharacteristic
122#392×C137C2211yescharacteristic, complemented
123#392×C137C2211yescharacteristic, complemented
124#392×C137C2211yescharacteristic, complemented
125#391×C137C2211yescharacteristic, complemented
126#391×C137C2211yescharacteristic, complemented
127#390×C137C2211yescharacteristic
128#390×C137C2211yescharacteristic
129#390×C137C2211yescharacteristic
130#390×C137C2211yescharacteristic
131#390×C137C2211yescharacteristic
132#390×C137C2211yescharacteristic, complemented
133#390×C137C2211yescharacteristic, complemented
134#390×C137C2211yescharacteristic, complemented
135#390×C137C2211yescharacteristic, complemented
136#389×C137C2211yescharacteristic, complemented
137#389×C137C2211yescharacteristic, complemented
138#389×C137C2211yescharacteristic, complemented
139#388×C137C2211yescharacteristic, complemented
140#388×C137C2211yescharacteristic, complemented
141#388×C137C2211yescharacteristic, complemented
142#388×C137C2211yescharacteristic, complemented
143#388×C137C2211yescharacteristic, complemented
144#388×C137C2211yescharacteristic, complemented
145#388×C137C2211yescharacteristic, complemented
146#388×C137C2211yescharacteristic, complemented
147#388×C137C2211yescharacteristic, complemented
148#388×C137C2211yescharacteristic, complemented
149#388×C137C2211yescharacteristic, complemented
150#388×C137C2211yescharacteristic, complemented
151#388×C137C2211yescharacteristic, complemented
152#388×C137C2211yescharacteristic, complemented
153#387×C137C2211yescharacteristic, complemented
154#387×C137C2211yescharacteristic, complemented
155#386×C137C2211yescharacteristic
156#386×C137C2211yescharacteristic
157#386×C137C2211yescharacteristic
158#386×C137C2211yescharacteristic
159#386×C137C2211yescharacteristic
160#386×C137C2211yescharacteristic
161#386×C137C2211yescharacteristic
162#386×C137C2211yescharacteristic
163#386×C137C2211yescharacteristic, complemented
164#386×C137C2211yescharacteristic, complemented
165#386×C137C2211yescharacteristic, complemented
166#386×C137C2211yescharacteristic, complemented
167#386×C137C2211yescharacteristic, complemented
168#386×C137C2211yescharacteristic, complemented
169#386×C137C2211yescharacteristic, complemented
170#386×C137C2211yescharacteristic, complemented
171#385×C137C2211yescharacteristic, complemented
172#385×C137C2211yescharacteristic, complemented
173#385×C137C2211yescharacteristic, complemented
174#385×C137C2211yescharacteristic, complemented
175#385×C137C2211yescharacteristic, complemented
176#385×C137C2211yescharacteristic, complemented
177#381×C137C2211yescharacteristic, complemented
178#381×C137C2211yescharacteristic, complemented
179#381×C137C2211yescharacteristic, complemented
180#381×C137C2211yescharacteristic, complemented
181#380×C137C2211yescharacteristic, complemented
182#380×C137C2211yescharacteristic, complemented
183#380×C137C2211yescharacteristic, complemented
184#380×C137C2211yescharacteristic, complemented
185#379×C137C2211yescharacteristic, complemented
186#379×C137C2211yescharacteristic, complemented
187C4×C4⋊C4×C137C2211yescharacteristic, complemented
188#376×C137C2211yescharacteristic, complemented
189C25×C137C2311yescharacteristic
190C25×C137C2311yescharacteristic
191C2×#41×C137—24no—
192C2×#41×C137—42no—
193C2×#41×C137—42no—
194C22×Q8×C137C2311yescharacteristic
195C22×Q8×C137C2311yescharacteristic
196C22×D4×C137C2311yescharacteristic
197C22×D4×C137C2311yescharacteristic
198C22×D4×C137C2311yescharacteristic
199C22×D4×C137C2311yescharacteristic
200C22×D4×C137C2311yescharacteristic
201C22×D4×C137C2311yescharacteristic
202C22×D4×C137C2311yescharacteristic
203C22×D4×C137C2311yescharacteristic
204C22×D4×C137C2311yescharacteristic
205C22×D4×C137C2311yescharacteristic
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—42no—
220C23×C4×C137—42no—
221C23×C4×C137C2311yescharacteristic
222C23×C4×C137C2311yescharacteristic
223C23×C4×C137C2311yescharacteristic
224C23×C4×C137C2311yescharacteristic
225C23×C4×C137C2311yescharacteristic
226C23×C4×C137C2311yescharacteristic
227C23×C4×C137C2311yescharacteristic
228C23×C4×C137C2311yescharacteristic
229C23×C4×C137C2311yescharacteristic
230C23×C4×C137C2311yescharacteristic
231#127×C137—42no—
232#126×C137—24no—
233#126×C137—24no—
234#124×C137—24no—
235#124×C137—24no—
236#124×C137—42no—
237#123×C137—24no—
238#123×C137—24no—
239#123×C137—24no—
240#123×C137—24no—
241#123×C137—42no—
242#123×C137—42no—
243C22⋊Q8×C137—24no—
244C22⋊Q8×C137—24no—
245C22⋊Q8×C137—24no—
246C22⋊Q8×C137—42no—
247#121×C137—24no—
248#121×C137—24no—
249#121×C137—24no—
250#121×C137—24no—
251#121×C137—24no—
252#121×C137—42no—
253#121×C137—42no—
254#121×C137—42no—
255#120×C137—24no—
256#120×C137—24no—
257#120×C137—24no—
258#120×C137—24no—
259#120×C137—42no—
260#120×C137—42no—
261#120×C137—42no—
262#120×C137—42no—
263#120×C137—42no—
264#120×C137—42no—
265C4×D4×C137—24no—
266C4×D4×C137—24no—
267C4×D4×C137—24no—
268C4×D4×C137—24no—
269C4×D4×C137D418yescomplemented
270#117×C137—24no—
271C2×C4⋊C4×C137C2311yescharacteristic
272C2×C4⋊C4×C137C2311yescharacteristic
273C2×C4⋊C4×C137C2311yescharacteristic
274C2×C4⋊C4×C137C2311yescharacteristic
275C2×C4⋊C4×C137C2311yescharacteristic
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×C22⋊C4×C137—24no—
296C2×C22⋊C4×C137C2311yescharacteristic
297C2×C22⋊C4×C137C2311yescharacteristic
298C2×C22⋊C4×C137C2311yescharacteristic
299C2×C22⋊C4×C137C2311yescharacteristic
300C2×C22⋊C4×C137C2311yescharacteristic
301C2×C22⋊C4×C137C2311yescharacteristic
302C2×C22⋊C4×C137C2311yescharacteristic
303C2×C22⋊C4×C137C2311yescharacteristic
304C2×C22⋊C4×C137C2311yescharacteristic
305C2×C22⋊C4×C137C2311yescharacteristic
306C2×C22⋊C4×C137C2311yescharacteristic
307C2×C22⋊C4×C137C2311yescharacteristic
308C2×C22⋊C4×C137C2311yescharacteristic
309C2×C22⋊C4×C137C2311yescharacteristic
310C2×C22⋊C4×C137C2311yescharacteristic
311C2×C22⋊C4×C137C2311yescharacteristic
312C2×C22⋊C4×C137C2311yescharacteristic
313C2×C22⋊C4×C137C2311yescharacteristic
314C2×C22⋊C4×C137C2311yescharacteristic
315C2×C22⋊C4×C137C2311yescharacteristic
316C2×C22⋊C4×C137C2311yescharacteristic
317C2×C22⋊C4×C137C2311yescharacteristic
318C2×C22⋊C4×C137C2311yescharacteristic
319C2×C22⋊C4×C137C2311yescharacteristic
320C2×C22⋊C4×C137C2311yescharacteristic
321C2×C22⋊C4×C137C2311yescharacteristic
322C2×C22⋊C4×C137C2311yescharacteristic
323C2×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×C42×C137C2311yescharacteristic
357C2×C42×C137C2311yescharacteristic
358C2×C42×C137C2311yescharacteristic
359C2×C42×C137C2311yescharacteristic
360C2×C42×C137C2311yescharacteristic
361C2×C42×C137C2311yescharacteristic
362C2×C42×C137C2311yescharacteristic
363#95×C137C2311yescharacteristic
364#95×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
391C24×C137—22no—
392C24×C137—22no—
393C24×C137—22no—
394C24×C137—22no—
395C24×C137—41no—
396C24×C137—41no—
397C24×C137—41no—
398C24×C137—41no—
399C24×C137—41no—
400C24×C137—41no—
401C24×C137—41no—
402C24×C137—41no—
403C24×C137—41no—
404C24×C137—41no—
405C24×C137C2411yescharacteristic
406C24×C137C2411yescharacteristic
407C24×C137C2411yescharacteristic
408C24×C137C2411yescharacteristic
409C24×C137C2411yescharacteristic
410C24×C137C2411yescharacteristic
411C24×C137C2411yescharacteristic
412C24×C137C2411yescharacteristic
413#41×C137—416no—
414C2×Q8×C137—22no—
415C2×Q8×C137—22no—
416C2×Q8×C137—22no—
417C2×Q8×C137—41no—
418C2×Q8×C137—41no—
419C2×Q8×C137—41no—
420C2×D4×C137—22no—
421C2×D4×C137—22no—
422C2×D4×C137—22no—
423C2×D4×C137—22no—
424C2×D4×C137—22no—
425C2×D4×C137—22no—
426C2×D4×C137—22no—
427C2×D4×C137—22no—
428C2×D4×C137—22no—
429C2×D4×C137—22no—
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—41no—
444C2×D4×C137—41no—
445C2×D4×C137—41no—
446C2×D4×C137—41no—
447C2×D4×C137—41no—
448C2×D4×C137—41no—
449C2×D4×C137—41no—
450C2×D4×C137—41no—
451C2×D4×C137—41no—
452C2×D4×C137—41no—
453C2×D4×C137—41no—
454C2×D4×C137—41no—
455C2×D4×C137—41no—
456C2×D4×C137—41no—
457C2×D4×C137—41no—
458C2×D4×C137—41no—
459C2×D4×C137—41no—
460C2×D4×C137—41no—
461C2×D4×C137—41no—
462C2×D4×C137—41no—
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×C137C2×D414yes—
486C22×C4×C137—22no—
487C22×C4×C137—22no—
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—41no—
500C22×C4×C137—41no—
501C22×C4×C137—41no—
502C22×C4×C137—41no—
503C22×C4×C137—41no—
504C22×C4×C137—41no—
505C22×C4×C137—41no—
506C22×C4×C137—41no—
507C22×C4×C137—41no—
508C22×C4×C137—41no—
509C22×C4×C137—41no—
510C22×C4×C137—41no—
511C22×C4×C137—41no—
512C22×C4×C137—41no—
513C22×C4×C137—41no—
514C22×C4×C137—416no—
515C22×C4×C137C2×D414yes—
516C22×C4×C137C2×D414yes—
517C22×C4×C137C2411yescharacteristic
518C22×C4×C137C2411yescharacteristic
519C22×C4×C137C2411yescharacteristic
520C22×C4×C137C2411yescharacteristic
521C22×C4×C137C2411yescharacteristic
522C22×C4×C137C2411yescharacteristic
523C22×C4×C137C2411yescharacteristic
524C22×C4×C137C2411yescharacteristic
525C22×C4×C137C2411yescharacteristic
526C22×C4×C137C2411yescharacteristic
527C22×C4×C137C2411yescharacteristic
528C22×C4×C137C2411yescharacteristic
529C22×C4×C137C2411yescharacteristic
530C22×C4×C137C2411yescharacteristic
531C22×C4×C137C2411yescharacteristic
532C22×C4×C137C2411yescharacteristic
533C22×C4×C137C2411yescharacteristic
534C22×C4×C137C2411yescharacteristic
535C22×C4×C137C2411yescharacteristic
536C22×C4×C137C2411yescharacteristic
537C22×C4×C137C2411yescharacteristic
538C22×C4×C137C2411yescharacteristic
539C22×C4×C137C2411yescharacteristic
540C4⋊C4×C137—22no—
541C4⋊C4×C137—22no—
542C4⋊C4×C137—22no—
543C4⋊C4×C137—22no—
544C4⋊C4×C137—22no—
545C4⋊C4×C137—22no—
546C4⋊C4×C137—22no—
547C4⋊C4×C137—22no—
548C4⋊C4×C137—22no—
549C4⋊C4×C137—22no—
550C4⋊C4×C137—22no—
551C4⋊C4×C137—41no—
552C4⋊C4×C137—41no—
553C4⋊C4×C137—41no—
554C4⋊C4×C137—41no—
555C4⋊C4×C137—41no—
556C4⋊C4×C137—41no—
557C4⋊C4×C137—41no—
558C4⋊C4×C137—41no—
559C4⋊C4×C137—41no—
560C4⋊C4×C137—41no—
561C4⋊C4×C137—41no—
562C4⋊C4×C137—41no—
563C4⋊C4×C137C2×D414yes—
564C22⋊C4×C137—22no—
565C22⋊C4×C137—22no—
566C22⋊C4×C137—22no—
567C22⋊C4×C137—22no—
568C22⋊C4×C137—22no—
569C22⋊C4×C137—22no—
570C22⋊C4×C137—22no—
571C22⋊C4×C137—22no—
572C22⋊C4×C137—22no—
573C22⋊C4×C137—22no—
574C22⋊C4×C137—22no—
575C22⋊C4×C137—22no—
576C22⋊C4×C137—22no—
577C22⋊C4×C137—22no—
578C22⋊C4×C137—22no—
579C22⋊C4×C137—22no—
580C22⋊C4×C137—22no—
581C22⋊C4×C137—22no—
582C22⋊C4×C137—22no—
583C22⋊C4×C137—22no—
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—41no—
592C22⋊C4×C137—41no—
593C22⋊C4×C137—41no—
594C22⋊C4×C137—41no—
595C22⋊C4×C137—41no—
596C22⋊C4×C137—41no—
597C22⋊C4×C137—41no—
598C22⋊C4×C137—41no—
599C22⋊C4×C137—41no—
600C22⋊C4×C137—41no—
601C22⋊C4×C137—41no—
602C22⋊C4×C137—41no—
603C22⋊C4×C137—41no—
604C22⋊C4×C137—41no—
605C22⋊C4×C137—41no—
606C22⋊C4×C137—41no—
607C22⋊C4×C137—41no—
608C22⋊C4×C137—41no—
609C22⋊C4×C137—41no—
610C22⋊C4×C137—41no—
611C22⋊C4×C137—41no—
612C22⋊C4×C137—41no—
613C22⋊C4×C137—41no—
614C22⋊C4×C137—41no—
615C22⋊C4×C137—41no—
616C22⋊C4×C137—41no—
617C22⋊C4×C137—41no—
618C22⋊C4×C137—41no—
619C22⋊C4×C137—41no—
620C22⋊C4×C137—41no—
621C22⋊C4×C137—41no—
622C22⋊C4×C137C2×D414yes—
623C22⋊C4×C137C2×D414yes—
624C42×C137—22no—
625C42×C137—22no—
626C42×C137—41no—
627C42×C137—41no—
628C42×C137—41no—
629C42×C137—41no—
630C42×C137C2×D414yes—
631C23×C137—21no—
632C23×C137—21no—
633C23×C137—21no—
634C23×C137—21no—
635C23×C137—21no—
636C23×C137—21no—
637C23×C137—21no—
638C23×C137—21no—
639C23×C137—21no—
640C23×C137—21no—
641C23×C137—21no—
642C23×C137—21no—
643C23×C137—21no—
644C23×C137—21no—
645C23×C137—21no—
646C23×C137—21no—
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—21no—
656C23×C137—21no—
657C23×C137—21no—
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—44no—
684C23×C137—44no—
685C23×C137—44no—
686C23×C137—44no—
687C23×C137—44no—
688C23×C137—44no—
689C23×C137—44no—
690C23×C137—44no—
691C23×C137—82no—
692C23×C137—82no—
693C23×C137—82no—
694C23×C137—82no—
695C23×C137—82no—
696C23×C137—82no—
697C23×C137C22×D412yes—
698C23×C137C22×D412yes—
699C23×C137H(5,𝔽2)12yes—
700C23×C137H(5,𝔽2)12yes—
701C23×C137C2511yescharacteristic
702Q8×C137—44no—
703Q8×C137—82no—
704D4×C137—44no—
705D4×C137—44no—
706D4×C137—44no—
707D4×C137—44no—
708D4×C137—44no—
709D4×C137—44no—
710D4×C137—44no—
711D4×C137—44no—
712D4×C137—82no—
713D4×C137—82no—
714D4×C137—82no—
715D4×C137—82no—
716D4×C137—82no—
717D4×C137—82no—
718D4×C137—82no—
719D4×C137—82no—
720D4×C137—82no—
721D4×C137—82no—
722D4×C137—82no—
723D4×C137—82no—
724D4×C137—82no—
725D4×C137—82no—
726C2×C4×C137—28no—
727C2×C4×C137—21no—
728C2×C4×C137—21no—
729C2×C4×C137—21no—
730C2×C4×C137—21no—
731C2×C4×C137—21no—
732C2×C4×C137—21no—
733C2×C4×C137—21no—
734C2×C4×C137—21no—
735C2×C4×C137—21no—
736C2×C4×C137—21no—
737C2×C4×C137—21no—
738C2×C4×C137—21no—
739C2×C4×C137—21no—
740C2×C4×C137—21no—
741C2×C4×C137—21no—
742C2×C4×C137—21no—
743C2×C4×C137—21no—
744C2×C4×C137—21no—
745C2×C4×C137—21no—
746C2×C4×C137—21no—
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—44no—
791C2×C4×C137—44no—
792C2×C4×C137—44no—
793C2×C4×C137—44no—
794C2×C4×C137—44no—
795C2×C4×C137—44no—
796C2×C4×C137—44no—
797C2×C4×C137—82no—
798C2×C4×C137—82no—
799C2×C4×C137C22×D412yes—
800C2×C4×C137C22×D412yes—
801C2×C4×C137C22×D412yes—
802C2×C4×C137C22×D412yes—
803C2×C4×C137C22×D412yes—
804C2×C4×C137H(5,𝔽2)12yes—
805C22×C137—22no—
806C22×C137—22no—
807C22×C137—22no—
808C22×C137—22no—
809C22×C137—22no—
810C22×C137—22no—
811C22×C137—22no—
812C22×C137—22no—
813C22×C137—22no—
814C22×C137—22no—
815C22×C137—22no—
816C22×C137—22no—
817C22×C137—416no—
818C22×C137—41no—
819C22×C137—41no—
820C22×C137—41no—
821C22×C137—41no—
822C22×C137—41no—
823C22×C137—41no—
824C22×C137—41no—
825C22×C137—41no—
826C22×C137—41no—
827C22×C137—41no—
828C22×C137—41no—
829C22×C137—41no—
830C22×C137—41no—
831C22×C137—41no—
832C22×C137—41no—
833C22×C137—41no—
834C22×C137—41no—
835C22×C137—41no—
836C22×C137—41no—
837C22×C137—41no—
838C22×C137—41no—
839C22×C137—41no—
840C22×C137—41no—
841C22×C137—41no—
842C22×C137—41no—
843C22×C137—41no—
844C22×C137—41no—
845C22×C137—41no—
846C22×C137—41no—
847C22×C137—41no—
848C22×C137—41no—
849C22×C137—41no—
850C22×C137—41no—
851C22×C137—41no—
852C22×C137—41no—
853C22×C137—41no—
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—88no—
863C22×C137C23×D411yescharacteristic
864C22×C137C2×H(5,𝔽2)11yescharacteristic
865C22×C137C2×H(5,𝔽2)11yescharacteristic
866C22×C137C2×H(5,𝔽2)11yescharacteristic
867C22×C137#58511yescharacteristic
868C22×C137#58511yescharacteristic
869C22×C137#58511yescharacteristic
870C4×C137—22no—
871C4×C137—22no—
872C4×C137—22no—
873C4×C137—22no—
874C4×C137—22no—
875C4×C137—22no—
876C4×C137—41no—
877C4×C137—41no—
878C4×C137—41no—
879C4×C137—41no—
880C4×C137—41no—
881C4×C137—41no—
882C4×C137—41no—
883C4×C137—41no—
884C4×C137—41no—
885C4×C137—41no—
886C4×C137—41no—
887C4×C137—41no—
888C4×C137—41no—
889C4×C137—41no—
890C4×C137—41no—
891C4×C137—41no—
892C4×C137—41no—
893C2×C137—42no—
894C2×C137—42no—
895C2×C137—42no—
896C2×C137—42no—
897C2×C137—81no—
898C2×C137—81no—
899C2×C137—81no—
900C2×C137—81no—
901C2×C137#344911yescharacteristic
902C2×C137#348411yescharacteristic
903C2×C137#348811yescharacteristic
904C2×C137#353311yescharacteristic
905C2×C137#353411yescharacteristic
906C2×C137#354011yescharacteristic
907C2×C137#354211yescharacteristic
908#36724C13711yesmaximal, characteristic, direct product factor, Sylow
909C137#3672411yescharacteristic, direct product factor, Sylow
910C2×#538C2×C13711yescharacteristic, complemented
911C2×#525C2×C13711yescharacteristic, complemented
912#2849C2×C13711yescharacteristic, complemented
913#2847C2×C13711yescharacteristic, complemented
914#2705C2×C13711yescharacteristic, complemented
915#2702C2×C13711yescharacteristic, complemented
916#2700C2×C13711yescharacteristic, complemented
917#2699C2×C13711yescharacteristic, complemented
918#2687C2×C13711yescharacteristic, complemented
919#2682C2×C13711yescharacteristic, complemented
920#2681C2×C13711yescharacteristic, complemented
921#2681C2×C13711yescharacteristic, complemented
922#2679C2×C13711yescharacteristic, complemented
923#2678C2×C13711yescharacteristic, complemented
924#2678C2×C13711yescharacteristic, complemented
925#2678C2×C13711yescharacteristic, complemented
926#2672C2×C13711yescharacteristic, complemented
927#2670C2×C13711yescharacteristic, complemented
928#2669C2×C13711yescharacteristic, complemented
929#2669C2×C13711yescharacteristic, complemented
930#2635C2×C13711yescharacteristic, complemented
931#2630C2×C13711yescharacteristic, complemented
932#2610C2×C13711yescharacteristic, complemented
933#2603C2×C13711yescharacteristic, complemented
934#2601C2×C13711yescharacteristic, complemented
935#2600C2×C13711yescharacteristic, complemented
936#2544C2×C13711yescharacteristic, complemented
937#2534C2×C13711yescharacteristic, complemented
938#2407C2×C13711yescharacteristic, complemented
939#2404C2×C13711yescharacteristic, complemented
940#2319C2×C13711yescharacteristic, complemented
941C22×#41C22×C13711yescharacteristic
942C24×C4C22×C13711yescharacteristic, complemented
943#538—28no—
944C2×#127C22×C13711yescharacteristic
945C2×#126C22×C13711yescharacteristic, complemented
946C2×#126C22×C13711yescharacteristic, complemented
947C2×#124C22×C13711yescharacteristic
948C2×#124C22×C13711yescharacteristic, complemented
949C2×#124C22×C13711yescharacteristic, complemented
950#525—28no—
951C2×#123C22×C13711yescharacteristic
952C2×#123C22×C13711yescharacteristic
953C2×#123C22×C13711yescharacteristic
954C2×#123C22×C13711yescharacteristic
955C2×#123C22×C13711yescharacteristic, complemented
956C2×#123C22×C13711yescharacteristic, complemented
957C2×C22⋊Q8C22×C13711yescharacteristic, complemented
958C2×C22⋊Q8C22×C13711yescharacteristic, complemented
959C2×C22⋊Q8C22×C13711yescharacteristic, complemented
960C2×C22⋊Q8C22×C13711yescharacteristic, complemented
961C2×#121C22×C13711yescharacteristic
962C2×#121C22×C13711yescharacteristic
963C2×#121C22×C13711yescharacteristic
964C2×#121C22×C13711yescharacteristic
965C2×#121C22×C13711yescharacteristic
966C2×#121C22×C13711yescharacteristic
967C2×#121C22×C13711yescharacteristic
968C2×#121C22×C13711yescharacteristic, complemented
969C2×#120C22×C13711yescharacteristic
970C2×#120C22×C13711yescharacteristic
971C2×#120C22×C13711yescharacteristic
972C2×#120C22×C13711yescharacteristic
973C2×#120C22×C13711yescharacteristic
974C2×#120C22×C13711yescharacteristic
975C2×#120C22×C13711yescharacteristic, complemented
976C2×#120C22×C13711yescharacteristic, complemented
977C2×#120C22×C13711yescharacteristic, complemented
978C2×#120C22×C13711yescharacteristic, complemented
979C2×C4×D4C22×C13711yescharacteristic
980C2×C4×D4C22×C13711yescharacteristic
981C2×C4×D4C22×C13711yescharacteristic, complemented
982C2×C4×D4C22×C13711yescharacteristic, complemented
983C2×C4×D4C22×C13711yescharacteristic, complemented
984C2×#117C22×C13711yescharacteristic, complemented
985C22×C22⋊C4C22×C13711yescharacteristic, complemented
986#400C22×C13711yescharacteristic, complemented
987#399C22×C13711yescharacteristic, complemented
988#398C22×C13711yescharacteristic, complemented
989#398C22×C13711yescharacteristic, complemented
990#398C22×C13711yescharacteristic, complemented
991#397C22×C13711yescharacteristic, complemented
992#397C22×C13711yescharacteristic, complemented
993#397C22×C13711yescharacteristic, complemented
994#396C22×C13711yescharacteristic, complemented
995#396C22×C13711yescharacteristic, complemented
996#396C22×C13711yescharacteristic, complemented
997#396C22×C13711yescharacteristic, complemented
998#396C22×C13711yescharacteristic, complemented
999#396C22×C13711yescharacteristic, complemented
1000#395C22×C13711yescharacteristic, complemented
1001#394C22×C13711yescharacteristic
1002#394C22×C13711yescharacteristic
1003#394C22×C13711yescharacteristic
1004#394C22×C13711yescharacteristic
1005#394C22×C13711yescharacteristic
1006#394C22×C13711yescharacteristic
1007#394C22×C13711yescharacteristic
1008#394C22×C13711yescharacteristic
1009#394C22×C13711yescharacteristic, complemented
1010#394C22×C13711yescharacteristic, complemented
1011#394C22×C13711yescharacteristic, complemented
1012#394C22×C13711yescharacteristic, complemented
1013#394C22×C13711yescharacteristic, complemented
1014#394C22×C13711yescharacteristic, complemented
1015#394C22×C13711yescharacteristic, complemented
1016#394C22×C13711yescharacteristic, complemented
1017#394C22×C13711yescharacteristic, complemented
1018#394C22×C13711yescharacteristic, complemented
1019#394C22×C13711yescharacteristic, complemented
1020#393C22×C13711yescharacteristic, complemented
1021#393C22×C13711yescharacteristic, complemented
1022#393C22×C13711yescharacteristic, complemented
1023#392C22×C13711yescharacteristic
1024#392C22×C13711yescharacteristic
1025#392C22×C13711yescharacteristic
1026#392C22×C13711yescharacteristic
1027#392C22×C13711yescharacteristic
1028#392C22×C13711yescharacteristic
1029#392C22×C13711yescharacteristic
1030#392C22×C13711yescharacteristic
1031#392C22×C13711yescharacteristic, complemented
1032#392C22×C13711yescharacteristic, complemented
1033#392C22×C13711yescharacteristic, complemented
1034#391C22×C13711yescharacteristic, complemented
1035#391C22×C13711yescharacteristic, complemented
1036#390C22×C13711yescharacteristic
1037#390C22×C13711yescharacteristic
1038#390C22×C13711yescharacteristic
1039#390C22×C13711yescharacteristic
1040#390C22×C13711yescharacteristic
1041#390C22×C13711yescharacteristic, complemented
1042#390C22×C13711yescharacteristic, complemented
1043#390C22×C13711yescharacteristic, complemented
1044#390C22×C13711yescharacteristic, complemented
1045#389C22×C13711yescharacteristic, complemented
1046#389C22×C13711yescharacteristic, complemented
1047#389C22×C13711yescharacteristic, complemented
1048#388C22×C13711yescharacteristic, complemented
1049#388C22×C13711yescharacteristic, complemented
1050#388C22×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#387C22×C13711yescharacteristic, complemented
1063#387C22×C13711yescharacteristic, complemented
1064#386C22×C13711yescharacteristic
1065#386C22×C13711yescharacteristic
1066#386C22×C13711yescharacteristic
1067#386C22×C13711yescharacteristic
1068#386C22×C13711yescharacteristic
1069#386C22×C13711yescharacteristic
1070#386C22×C13711yescharacteristic
1071#386C22×C13711yescharacteristic
1072#386C22×C13711yescharacteristic, complemented
1073#386C22×C13711yescharacteristic, complemented
1074#386C22×C13711yescharacteristic, complemented
1075#386C22×C13711yescharacteristic, complemented
1076#386C22×C13711yescharacteristic, complemented
1077#386C22×C13711yescharacteristic, complemented
1078#386C22×C13711yescharacteristic, complemented
1079#386C22×C13711yescharacteristic, complemented
1080#385C22×C13711yescharacteristic, complemented
1081#385C22×C13711yescharacteristic, complemented
1082#385C22×C13711yescharacteristic, complemented
1083#385C22×C13711yescharacteristic, complemented
1084#385C22×C13711yescharacteristic, complemented
1085#385C22×C13711yescharacteristic, complemented
1086#381C22×C13711yescharacteristic, complemented
1087#381C22×C13711yescharacteristic, complemented
1088#381C22×C13711yescharacteristic, complemented
1089#381C22×C13711yescharacteristic, complemented
1090#380C22×C13711yescharacteristic, complemented
1091#380C22×C13711yescharacteristic, complemented
1092#380C22×C13711yescharacteristic, complemented
1093#380C22×C13711yescharacteristic, complemented
1094#379C22×C13711yescharacteristic, complemented
1095#379C22×C13711yescharacteristic, complemented
1096C4×C4⋊C4C22×C13711yescharacteristic, complemented
1097#376C22×C13711yescharacteristic, complemented
1098C25C23×C13711yescharacteristic
1099C25C23×C13711yescharacteristic
1100C2×#41—24no—
1101C2×#41—42no—
1102C2×#41—42no—
1103C22×Q8C23×C13711yescharacteristic
1104C22×Q8C23×C13711yescharacteristic
1105C22×D4C23×C13711yescharacteristic
1106C22×D4C23×C13711yescharacteristic
1107C22×D4C23×C13711yescharacteristic
1108C22×D4C23×C13711yescharacteristic
1109C22×D4C23×C13711yescharacteristic
1110C22×D4C23×C13711yescharacteristic
1111C22×D4C23×C13711yescharacteristic
1112C22×D4C23×C13711yescharacteristic
1113C22×D4C23×C13711yescharacteristic
1114C22×D4C23×C13711yescharacteristic
1115C22×D4C23×C13711yescharacteristic
1116C22×D4C23×C13711yescharacteristic
1117C22×D4C23×C13711yescharacteristic
1118C22×D4C23×C13711yescharacteristic
1119C22×D4C23×C13711yescharacteristic
1120C22×D4C23×C13711yescharacteristic
1121C22×D4C23×C13711yescharacteristic
1122C22×D4C23×C13711yescharacteristic
1123C22×D4C23×C13711yescharacteristic
1124C22×D4C23×C13711yescharacteristic
1125C22×D4C23×C13711yescharacteristic
1126C22×D4C23×C13711yescharacteristic
1127C23×C4—24no—
1128C23×C4—42no—
1129C23×C4—42no—
1130C23×C4C23×C13711yescharacteristic
1131C23×C4C23×C13711yescharacteristic
1132C23×C4C23×C13711yescharacteristic
1133C23×C4C23×C13711yescharacteristic
1134C23×C4C23×C13711yescharacteristic
1135C23×C4C23×C13711yescharacteristic
1136C23×C4C23×C13711yescharacteristic
1137C23×C4C23×C13711yescharacteristic
1138C23×C4C23×C13711yescharacteristic
1139C23×C4C23×C13711yescharacteristic
1140#127—42no—
1141#126—24no—
1142#126—24no—
1143#124—24no—
1144#124—24no—
1145#124—42no—
1146#123—24no—
1147#123—24no—
1148#123—24no—
1149#123—24no—
1150#123—42no—
1151#123—42no—
1152C22⋊Q8—24no—
1153C22⋊Q8—24no—
1154C22⋊Q8—24no—
1155C22⋊Q8—42no—
1156#121—24no—
1157#121—24no—
1158#121—24no—
1159#121—24no—
1160#121—24no—
1161#121—42no—
1162#121—42no—
1163#121—42no—
1164#120—24no—
1165#120—24no—
1166#120—24no—
1167#120—24no—
1168#120—42no—
1169#120—42no—
1170#120—42no—
1171#120—42no—
1172#120—42no—
1173#120—42no—
1174C4×D4—24no—
1175C4×D4—24no—
1176C4×D4—24no—
1177C4×D4—24no—
1178C4×D4D4×C13718yescomplemented
1179#117—24no—
1180C2×C4⋊C4C23×C13711yescharacteristic
1181C2×C4⋊C4C23×C13711yescharacteristic
1182C2×C4⋊C4C23×C13711yescharacteristic
1183C2×C4⋊C4C23×C13711yescharacteristic
1184C2×C4⋊C4C23×C13711yescharacteristic
1185C2×C4⋊C4C23×C13711yescharacteristic
1186C2×C4⋊C4C23×C13711yescharacteristic
1187C2×C4⋊C4C23×C13711yescharacteristic
1188C2×C4⋊C4C23×C13711yescharacteristic
1189C2×C4⋊C4C23×C13711yescharacteristic
1190C2×C4⋊C4C23×C13711yescharacteristic
1191C2×C4⋊C4C23×C13711yescharacteristic
1192C2×C4⋊C4C23×C13711yescharacteristic
1193C2×C4⋊C4C23×C13711yescharacteristic
1194C2×C4⋊C4C23×C13711yescharacteristic
1195C2×C4⋊C4C23×C13711yescharacteristic
1196C2×C4⋊C4C23×C13711yescharacteristic
1197C2×C4⋊C4C23×C13711yescharacteristic
1198C2×C4⋊C4C23×C13711yescharacteristic
1199C2×C4⋊C4C23×C13711yescharacteristic
1200C2×C4⋊C4C23×C13711yescharacteristic
1201C2×C4⋊C4C23×C13711yescharacteristic
1202C2×C4⋊C4C23×C13711yescharacteristic
1203C2×C4⋊C4C23×C13711yescharacteristic
1204C2×C22⋊C4—24no—
1205C2×C22⋊C4C23×C13711yescharacteristic
1206C2×C22⋊C4C23×C13711yescharacteristic
1207C2×C22⋊C4C23×C13711yescharacteristic
1208C2×C22⋊C4C23×C13711yescharacteristic
1209C2×C22⋊C4C23×C13711yescharacteristic
1210C2×C22⋊C4C23×C13711yescharacteristic
1211C2×C22⋊C4C23×C13711yescharacteristic
1212C2×C22⋊C4C23×C13711yescharacteristic
1213C2×C22⋊C4C23×C13711yescharacteristic
1214C2×C22⋊C4C23×C13711yescharacteristic
1215C2×C22⋊C4C23×C13711yescharacteristic
1216C2×C22⋊C4C23×C13711yescharacteristic
1217C2×C22⋊C4C23×C13711yescharacteristic
1218C2×C22⋊C4C23×C13711yescharacteristic
1219C2×C22⋊C4C23×C13711yescharacteristic
1220C2×C22⋊C4C23×C13711yescharacteristic
1221C2×C22⋊C4C23×C13711yescharacteristic
1222C2×C22⋊C4C23×C13711yescharacteristic
1223C2×C22⋊C4C23×C13711yescharacteristic
1224C2×C22⋊C4C23×C13711yescharacteristic
1225C2×C22⋊C4C23×C13711yescharacteristic
1226C2×C22⋊C4C23×C13711yescharacteristic
1227C2×C22⋊C4C23×C13711yescharacteristic
1228C2×C22⋊C4C23×C13711yescharacteristic
1229C2×C22⋊C4C23×C13711yescharacteristic
1230C2×C22⋊C4C23×C13711yescharacteristic
1231C2×C22⋊C4C23×C13711yescharacteristic
1232C2×C22⋊C4C23×C13711yescharacteristic
1233C2×C22⋊C4C23×C13711yescharacteristic
1234C2×C22⋊C4C23×C13711yescharacteristic
1235C2×C22⋊C4C23×C13711yescharacteristic
1236C2×C22⋊C4C23×C13711yescharacteristic
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×C42C23×C13711yescharacteristic
1266C2×C42C23×C13711yescharacteristic
1267C2×C42C23×C13711yescharacteristic
1268C2×C42C23×C13711yescharacteristic
1269C2×C42C23×C13711yescharacteristic
1270C2×C42C23×C13711yescharacteristic
1271C2×C42C23×C13711yescharacteristic
1272#95C23×C13711yescharacteristic
1273#95C23×C13711yescharacteristic
1274#95C23×C13711yescharacteristic
1275#95C23×C13711yescharacteristic
1276#95C23×C13711yescharacteristic
1277#95C23×C13711yescharacteristic
1278#95C23×C13711yescharacteristic
1279#95C23×C13711yescharacteristic
1280#95C23×C13711yescharacteristic
1281#95C23×C13711yescharacteristic
1282#95C23×C13711yescharacteristic
1283#95C23×C13711yescharacteristic
1284#95C23×C13711yescharacteristic
1285#95C23×C13711yescharacteristic
1286#95C23×C13711yescharacteristic
1287#95C23×C13711yescharacteristic
1288#95C23×C13711yescharacteristic
1289#95C23×C13711yescharacteristic
1290#95C23×C13711yescharacteristic
1291#95C23×C13711yescharacteristic
1292#95C23×C13711yescharacteristic
1293#95C23×C13711yescharacteristic
1294#95C23×C13711yescharacteristic
1295#95C23×C13711yescharacteristic
1296#95C23×C13711yescharacteristic
1297#95C23×C13711yescharacteristic
1298#95C23×C13711yescharacteristic
1299#95C23×C13711yescharacteristic
1300C24—22no—
1301C24—22no—
1302C24—22no—
1303C24—22no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—41no—
1308C24—41no—
1309C24—41no—
1310C24—41no—
1311C24—41no—
1312C24—41no—
1313C24—41no—
1314C24C24×C13711yescharacteristic
1315C24C24×C13711yescharacteristic
1316C24C24×C13711yescharacteristic
1317C24C24×C13711yescharacteristic
1318C24C24×C13711yescharacteristic
1319C24C24×C13711yescharacteristic
1320C24C24×C13711yescharacteristic
1321C24C24×C13711yescharacteristic
1322#41—416no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—41no—
1327C2×Q8—41no—
1328C2×Q8—41no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4C2×D4×C13714yes—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—416no—
1424C22×C4C2×D4×C13714yes—
1425C22×C4C2×D4×C13714yes—
1426C22×C4C24×C13711yescharacteristic
1427C22×C4C24×C13711yescharacteristic
1428C22×C4C24×C13711yescharacteristic
1429C22×C4C24×C13711yescharacteristic
1430C22×C4C24×C13711yescharacteristic
1431C22×C4C24×C13711yescharacteristic
1432C22×C4C24×C13711yescharacteristic
1433C22×C4C24×C13711yescharacteristic
1434C22×C4C24×C13711yescharacteristic
1435C22×C4C24×C13711yescharacteristic
1436C22×C4C24×C13711yescharacteristic
1437C22×C4C24×C13711yescharacteristic
1438C22×C4C24×C13711yescharacteristic
1439C22×C4C24×C13711yescharacteristic
1440C22×C4C24×C13711yescharacteristic
1441C22×C4C24×C13711yescharacteristic
1442C22×C4C24×C13711yescharacteristic
1443C22×C4C24×C13711yescharacteristic
1444C22×C4C24×C13711yescharacteristic
1445C22×C4C24×C13711yescharacteristic
1446C22×C4C24×C13711yescharacteristic
1447C22×C4C24×C13711yescharacteristic
1448C22×C4C24×C13711yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—41no—
1461C4⋊C4—41no—
1462C4⋊C4—41no—
1463C4⋊C4—41no—
1464C4⋊C4—41no—
1465C4⋊C4—41no—
1466C4⋊C4—41no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—41no—
1471C4⋊C4—41no—
1472C4⋊C4C2×D4×C13714yes—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4C2×D4×C13714yes—
1532C22⋊C4C2×D4×C13714yes—
1533C42—22no—
1534C42—22no—
1535C42—41no—
1536C42—41no—
1537C42—41no—
1538C42—41no—
1539C42C2×D4×C13714yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—44no—
1593C23—44no—
1594C23—44no—
1595C23—44no—
1596C23—44no—
1597C23—44no—
1598C23—44no—
1599C23—44no—
1600C23—82no—
1601C23—82no—
1602C23—82no—
1603C23—82no—
1604C23—82no—
1605C23—82no—
1606C23C22×D4×C13712yes—
1607C23C22×D4×C13712yes—
1608C23H(5,𝔽2)×C13712yes—
1609C23H(5,𝔽2)×C13712yes—
1610C23C25×C13711yescharacteristic
1611Q8—44no—
1612Q8—82no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—44no—
1618D4—44no—
1619D4—44no—
1620D4—44no—
1621D4—82no—
1622D4—82no—
1623D4—82no—
1624D4—82no—
1625D4—82no—
1626D4—82no—
1627D4—82no—
1628D4—82no—
1629D4—82no—
1630D4—82no—
1631D4—82no—
1632D4—82no—
1633D4—82no—
1634D4—82no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
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—44no—
1700C2×C4—44no—
1701C2×C4—44no—
1702C2×C4—44no—
1703C2×C4—44no—
1704C2×C4—44no—
1705C2×C4—44no—
1706C2×C4—82no—
1707C2×C4—82no—
1708C2×C4C22×D4×C13712yes—
1709C2×C4C22×D4×C13712yes—
1710C2×C4C22×D4×C13712yes—
1711C2×C4C22×D4×C13712yes—
1712C2×C4C22×D4×C13712yes—
1713C2×C4H(5,𝔽2)×C13712yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—416no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—88no—
1772C22C23×D4×C13711yescharacteristic
1773C22C2×H(5,𝔽2)×C13711yescharacteristic
1774C22C2×H(5,𝔽2)×C13711yescharacteristic
1775C22C2×H(5,𝔽2)×C13711yescharacteristic
1776C22#585×C13711yescharacteristic
1777C22#585×C13711yescharacteristic
1778C22#585×C13711yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—22no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C2—42no—
1803C2—42no—
1804C2—42no—
1805C2—42no—
1806C2—81no—
1807C2—81no—
1808C2—81no—
1809C2—81no—
1810C2#3449×C13711yescharacteristic
1811C2#3484×C13711yescharacteristic
1812C2#3488×C13711yescharacteristic
1813C2#3533×C13711yescharacteristic
1814C2#3534×C13711yescharacteristic
1815C2#3540×C13711yescharacteristic
1816C2#3542×C13711yescharacteristic
subgroupG/H
center, socleC23×C137C25
commutator, Frattini, cosocleC23C25×C137
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C137 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#538×C137C2semidirect
2. C2×#525×C137C2semidirect
3. #2849×C137C2semidirect
4. #2847×C137C2semidirect
5. #2705×C137C2semidirect
6. #2702×C137C2semidirect
7. #2700×C137C2semidirect
8. #2699×C137C2semidirect
9. #2687×C137C2semidirect
10. #2682×C137C2semidirect
11. #2681×C137C2semidirect
12. #2681×C137C2semidirect
13. #2679×C137C2semidirect
14. #2678×C137C2semidirect
15. #2678×C137C2semidirect
16. #2678×C137C2semidirect
17. #2672×C137C2semidirect
18. #2670×C137C2semidirect
19. #2669×C137C2semidirect
20. #2669×C137C2semidirect
21. #2635×C137C2semidirect
22. #2630×C137C2semidirect
23. #2610×C137C2semidirect
24. #2603×C137C2semidirect
25. #2601×C137C2semidirect
26. #2600×C137C2semidirect
27. #2544×C137C2semidirect
28. #2534×C137C2semidirect
29. #2407×C137C2semidirect
30. #2404×C137C2semidirect
31. #2319×C137C2semidirect
33. C24×C4×C137C22semidirect
36. C2×#126×C137C22semidirect
37. C2×#126×C137C22semidirect
39. C2×#124×C137C22semidirect
40. C2×#124×C137C22semidirect
46. C2×#123×C137C22semidirect
47. C2×#123×C137C22semidirect
48. C2×C22⋊Q8×C137C22semidirect
49. C2×C22⋊Q8×C137C22semidirect
50. C2×C22⋊Q8×C137C22semidirect
51. C2×C22⋊Q8×C137C22semidirect
59. C2×#121×C137C22semidirect
66. C2×#120×C137C22semidirect
67. C2×#120×C137C22semidirect
68. C2×#120×C137C22semidirect
69. C2×#120×C137C22semidirect
72. C2×C4×D4×C137C22semidirect
73. C2×C4×D4×C137C22semidirect
74. C2×C4×D4×C137C22semidirect
75. C2×#117×C137C22semidirect
76. C22×C22⋊C4×C137C22semidirect
77. #400×C137C22semidirect
78. #399×C137C22semidirect
79. #398×C137C22semidirect
80. #398×C137C22semidirect
81. #398×C137C22semidirect
82. #397×C137C22semidirect
83. #397×C137C22semidirect
84. #397×C137C22semidirect
85. #396×C137C22semidirect
86. #396×C137C22semidirect
87. #396×C137C22semidirect
88. #396×C137C22semidirect
89. #396×C137C22semidirect
90. #396×C137C22semidirect
91. #395×C137C22semidirect
100. #394×C137C22semidirect
101. #394×C137C22semidirect
102. #394×C137C22semidirect
103. #394×C137C22semidirect
104. #394×C137C22semidirect
105. #394×C137C22semidirect
106. #394×C137C22semidirect
107. #394×C137C22semidirect
108. #394×C137C22semidirect
109. #394×C137C22semidirect
110. #394×C137C22semidirect
111. #393×C137C22semidirect
112. #393×C137C22semidirect
113. #393×C137C22semidirect
122. #392×C137C22semidirect
123. #392×C137C22semidirect
124. #392×C137C22semidirect
125. #391×C137C22semidirect
126. #391×C137C22semidirect
132. #390×C137C22semidirect
133. #390×C137C22semidirect
134. #390×C137C22semidirect
135. #390×C137C22semidirect
136. #389×C137C22semidirect
137. #389×C137C22semidirect
138. #389×C137C22semidirect
139. #388×C137C22semidirect
140. #388×C137C22semidirect
141. #388×C137C22semidirect
142. #388×C137C22semidirect
143. #388×C137C22semidirect
144. #388×C137C22semidirect
145. #388×C137C22semidirect
146. #388×C137C22semidirect
147. #388×C137C22semidirect
148. #388×C137C22semidirect
149. #388×C137C22semidirect
150. #388×C137C22semidirect
151. #388×C137C22semidirect
152. #388×C137C22semidirect
153. #387×C137C22semidirect
154. #387×C137C22semidirect
163. #386×C137C22semidirect
164. #386×C137C22semidirect
165. #386×C137C22semidirect
166. #386×C137C22semidirect
167. #386×C137C22semidirect
168. #386×C137C22semidirect
169. #386×C137C22semidirect
170. #386×C137C22semidirect
171. #385×C137C22semidirect
172. #385×C137C22semidirect
173. #385×C137C22semidirect
174. #385×C137C22semidirect
175. #385×C137C22semidirect
176. #385×C137C22semidirect
177. #381×C137C22semidirect
178. #381×C137C22semidirect
179. #381×C137C22semidirect
180. #381×C137C22semidirect
181. #380×C137C22semidirect
182. #380×C137C22semidirect
183. #380×C137C22semidirect
184. #380×C137C22semidirect
185. #379×C137C22semidirect
186. #379×C137C22semidirect
187. C4×C4⋊C4×C137C22semidirect
188. #376×C137C22semidirect
269. C4×D4×C137D4semidirect
908. #36724C137direct (N × H)
909. C137#36724direct (N × H)
910. C2×#538C2×C137semidirect
911. C2×#525C2×C137semidirect
912. #2849C2×C137semidirect
913. #2847C2×C137semidirect
914. #2705C2×C137semidirect
915. #2702C2×C137semidirect
916. #2700C2×C137semidirect
917. #2699C2×C137semidirect
918. #2687C2×C137semidirect
919. #2682C2×C137semidirect
920. #2681C2×C137semidirect
921. #2681C2×C137semidirect
922. #2679C2×C137semidirect
923. #2678C2×C137semidirect
924. #2678C2×C137semidirect
925. #2678C2×C137semidirect
926. #2672C2×C137semidirect
927. #2670C2×C137semidirect
928. #2669C2×C137semidirect
929. #2669C2×C137semidirect
930. #2635C2×C137semidirect
931. #2630C2×C137semidirect
932. #2610C2×C137semidirect
933. #2603C2×C137semidirect
934. #2601C2×C137semidirect
935. #2600C2×C137semidirect
936. #2544C2×C137semidirect
937. #2534C2×C137semidirect
938. #2407C2×C137semidirect
939. #2404C2×C137semidirect
940. #2319C2×C137semidirect
942. C24×C4C22×C137semidirect
945. C2×#126C22×C137semidirect
946. C2×#126C22×C137semidirect
948. C2×#124C22×C137semidirect
949. C2×#124C22×C137semidirect
955. C2×#123C22×C137semidirect
956. C2×#123C22×C137semidirect
957. C2×C22⋊Q8C22×C137semidirect
958. C2×C22⋊Q8C22×C137semidirect
959. C2×C22⋊Q8C22×C137semidirect
960. C2×C22⋊Q8C22×C137semidirect
968. C2×#121C22×C137semidirect
975. C2×#120C22×C137semidirect
976. C2×#120C22×C137semidirect
977. C2×#120C22×C137semidirect
978. C2×#120C22×C137semidirect
981. C2×C4×D4C22×C137semidirect
982. C2×C4×D4C22×C137semidirect
983. C2×C4×D4C22×C137semidirect
984. C2×#117C22×C137semidirect
985. C22×C22⋊C4C22×C137semidirect
986. #400C22×C137semidirect
987. #399C22×C137semidirect
988. #398C22×C137semidirect
989. #398C22×C137semidirect
990. #398C22×C137semidirect
991. #397C22×C137semidirect
992. #397C22×C137semidirect
993. #397C22×C137semidirect
994. #396C22×C137semidirect
995. #396C22×C137semidirect
996. #396C22×C137semidirect
997. #396C22×C137semidirect
998. #396C22×C137semidirect
999. #396C22×C137semidirect
1000. #395C22×C137semidirect
1009. #394C22×C137semidirect
1010. #394C22×C137semidirect
1011. #394C22×C137semidirect
1012. #394C22×C137semidirect
1013. #394C22×C137semidirect
1014. #394C22×C137semidirect
1015. #394C22×C137semidirect
1016. #394C22×C137semidirect
1017. #394C22×C137semidirect
1018. #394C22×C137semidirect
1019. #394C22×C137semidirect
1020. #393C22×C137semidirect
1021. #393C22×C137semidirect
1022. #393C22×C137semidirect
1031. #392C22×C137semidirect
1032. #392C22×C137semidirect
1033. #392C22×C137semidirect
1034. #391C22×C137semidirect
1035. #391C22×C137semidirect
1041. #390C22×C137semidirect
1042. #390C22×C137semidirect
1043. #390C22×C137semidirect
1044. #390C22×C137semidirect
1045. #389C22×C137semidirect
1046. #389C22×C137semidirect
1047. #389C22×C137semidirect
1048. #388C22×C137semidirect
1049. #388C22×C137semidirect
1050. #388C22×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. #387C22×C137semidirect
1063. #387C22×C137semidirect
1072. #386C22×C137semidirect
1073. #386C22×C137semidirect
1074. #386C22×C137semidirect
1075. #386C22×C137semidirect
1076. #386C22×C137semidirect
1077. #386C22×C137semidirect
1078. #386C22×C137semidirect
1079. #386C22×C137semidirect
1080. #385C22×C137semidirect
1081. #385C22×C137semidirect
1082. #385C22×C137semidirect
1083. #385C22×C137semidirect
1084. #385C22×C137semidirect
1085. #385C22×C137semidirect
1086. #381C22×C137semidirect
1087. #381C22×C137semidirect
1088. #381C22×C137semidirect
1089. #381C22×C137semidirect
1090. #380C22×C137semidirect
1091. #380C22×C137semidirect
1092. #380C22×C137semidirect
1093. #380C22×C137semidirect
1094. #379C22×C137semidirect
1095. #379C22×C137semidirect
1096. C4×C4⋊C4C22×C137semidirect
1097. #376C22×C137semidirect
1178. C4×D4D4×C137semidirect

Maximal subgroups

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

subgroupindex
C2×#538×C1372
C2×#525×C1372
#2849×C1372
#2847×C1372
#2705×C1372
#2702×C1372
#2700×C1372
#2699×C1372
#2687×C1372
#2682×C1372
#2681×C1372
#2679×C1372
#2678×C1372
#2672×C1372
#2670×C1372
#2669×C1372
#2635×C1372
#2630×C1372
#2610×C1372
#2603×C1372
#2601×C1372
#2600×C1372
#2544×C1372
#2534×C1372
#2407×C1372
#2404×C1372
#2319×C1372
#36724137