Finite Group Databasebeta

← C137×#22434 #46871820

Subgroups — C137×#22434 #46871820

Order 35072.

1494 conjugacy classes of subgroups.

The subgroup lattice has 1244 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×#41×C137C211yesmaximal, characteristic
2D4×M16×C137C211yesmaximal, characteristic, complemented
3C2×#421×C137C211yesmaximal, characteristic, complemented
4C22×#104×C137C211yesmaximal, characteristic, complemented
5#2290×C137C211yesmaximal, characteristic, complemented
6#1980×C137C211yesmaximal, characteristic, complemented
7#1963×C137C211yesmaximal, characteristic, complemented
8#1897×C137C211yesmaximal, characteristic, complemented
9#1896×C137C211yesmaximal, characteristic, complemented
10#1871×C137C211yesmaximal, characteristic, complemented
11#1871×C137C211yesmaximal, characteristic, complemented
12#1806×C137C211yesmaximal, characteristic, complemented
13#1789×C137C211yesmaximal, characteristic, complemented
14#1789×C137C211yesmaximal, characteristic, complemented
15#1759×C137C211yesmaximal, characteristic, complemented
16C22×#41×C137C2211yescharacteristic
17C22×#41×C137C2211yescharacteristic
18C22×M16×C137C2211yescharacteristic, complemented
19C22×M16×C137C2211yescharacteristic, complemented
20#550×C137C411yescharacteristic, complemented
21D4×Q8×C137C411yescharacteristic, complemented
22#548×C137C411yescharacteristic, complemented
23#548×C137C411yescharacteristic, complemented
24#547×C137—21no—
25#547×C137C411yescharacteristic, complemented
26#546×C137—21no—
27#546×C137—21no—
28#546×C137C411yescharacteristic, complemented
29#546×C137C411yescharacteristic, complemented
30D42×C137—21no—
31D42×C137C411yescharacteristic, complemented
32#532×C137—21no—
33#532×C137C2211yescharacteristic
34#525×C137—21no—
35#525×C137—21no—
36#525×C137C2211yescharacteristic
37#525×C137C2211yescharacteristic
38C4×#41×C137C2211yescharacteristic
39C2×C4×D4×C137—21no—
40C2×C4×D4×C137C2211yescharacteristic
41C2×#117×C137C2211yescharacteristic, complemented
42C22×C42×C137C2211yescharacteristic, complemented
43#436×C137—21no—
44#435×C137—21no—
45#435×C137—21no—
46C8×D4×C137—21no—
47#423×C137C2211yescharacteristic, complemented
48#421×C137—24no—
49C2×#104×C137—24no—
50C2×#104×C137C2211yescharacteristic
51C2×#104×C137C2211yescharacteristic
52C2×#104×C137C2211yescharacteristic
53C2×#104×C137C2211yescharacteristic
54C2×#104×C137C2211yescharacteristic, complemented
55C2×#104×C137C2211yescharacteristic, complemented
56C2×#104×C137C2211yescharacteristic, complemented
57C2×#104×C137C2211yescharacteristic, complemented
58C2×#104×C137C2211yescharacteristic, complemented
59C2×#104×C137C2211yescharacteristic, complemented
60C2×#104×C137C2211yescharacteristic, complemented
61C2×#104×C137C2211yescharacteristic, complemented
62#407×C137C2211yescharacteristic, complemented
63#407×C137C2211yescharacteristic, complemented
64C4×M16×C137C2211yescharacteristic, complemented
65#388×C137—21no—
66#387×C137—21no—
67#386×C137—21no—
68#385×C137—21no—
69C4×C4⋊C4×C137C2211yescharacteristic, complemented
70C4×C22⋊C4×C137C2211yescharacteristic, complemented
71C4×C22⋊C4×C137C2211yescharacteristic, complemented
72#376×C137C2211yescharacteristic, complemented
73#339×C137C2211yescharacteristic, complemented
74#339×C137C2211yescharacteristic, complemented
75#339×C137C2211yescharacteristic, complemented
76#339×C137C2211yescharacteristic, complemented
77C2×#41×C137—21no—
78C2×#41×C137—21no—
79C2×#41×C137—21no—
80C2×#41×C137—21no—
81C2×#41×C137—22no—
82C2×#41×C137—22no—
83C2×#41×C137—22no—
84C2×#41×C137—22no—
85C2×#41×C137—41no—
86C2×#41×C137—41no—
87C2×#41×C137—41no—
88C2×#41×C137—41no—
89C2×#41×C137C2×C411yescharacteristic
90C2×#41×C137C2×C411yescharacteristic
91C2×#41×C137C2×C411yescharacteristic, complemented
92C2×#41×C137C2×C411yescharacteristic, complemented
93C2×#41×C137C2311yescharacteristic
94C2×#41×C137C2311yescharacteristic
95C2×#41×C137C2311yescharacteristic
96C22×Q8×C137C2×C411yescharacteristic
97C22×Q8×C137C2×C411yescharacteristic, complemented
98C22×D4×C137—21no—
99C22×D4×C137—21no—
100C22×D4×C137—21no—
101C22×D4×C137C2×C411yescharacteristic
102C22×D4×C137C2×C411yescharacteristic, complemented
103C22×D4×C137D411yescharacteristic
104C23×C4×C137—21no—
105C23×C4×C137—21no—
106C23×C4×C137—21no—
107C23×C4×C137C2311yescharacteristic
108C23×C4×C137C2311yescharacteristic
109C2×M16×C137—21no—
110C2×M16×C137—21no—
111C2×M16×C137—22no—
112C2×M16×C137—22no—
113C2×M16×C137—41no—
114C2×M16×C137—41no—
115C2×M16×C137C2311yescharacteristic
116C2×M16×C137C2311yescharacteristic
117C2×M16×C137C2311yescharacteristic
118C2×M16×C137C2311yescharacteristic
119C22×C8×C137—21no—
120C22×C8×C137—21no—
121C4⋊Q8×C137—21no—
122C4⋊Q8×C137C2×C411yescharacteristic, complemented
123#127×C137—21no—
124#127×C137C2×C411yescharacteristic, complemented
125#124×C137—21no—
126#124×C137—21no—
127#124×C137C2×C411yescharacteristic, complemented
128#124×C137C2×C411yescharacteristic, complemented
129#123×C137—21no—
130#123×C137—21no—
131#123×C137—21no—
132#123×C137—21no—
133#123×C137—21no—
134#123×C137—21no—
135C22⋊Q8×C137—21no—
136C22⋊Q8×C137—21no—
137C22⋊Q8×C137—21no—
138C22⋊Q8×C137—21no—
139C22⋊Q8×C137C2×C411yescharacteristic
140C22⋊Q8×C137C2×C411yescharacteristic
141C22⋊Q8×C137C2×C411yescharacteristic, complemented
142C22⋊Q8×C137C2×C411yescharacteristic, complemented
143#121×C137—21no—
144#121×C137—21no—
145#121×C137—21no—
146#121×C137—21no—
147#121×C137—21no—
148#121×C137—21no—
149#121×C137—21no—
150#121×C137—21no—
151#121×C137—21no—
152#121×C137—21no—
153#121×C137C2×C411yescharacteristic
154#121×C137C2×C411yescharacteristic
155#121×C137C2×C411yescharacteristic, complemented
156#121×C137C2×C411yescharacteristic, complemented
157#120×C137—21no—
158#120×C137—21no—
159#120×C137—21no—
160#120×C137—21no—
161#120×C137—21no—
162#120×C137—21no—
163C4×Q8×C137C2×C411yescharacteristic, complemented
164C4×Q8×C137C2×C411yescharacteristic, complemented
165C4×D4×C137—21no—
166C4×D4×C137—21no—
167C4×D4×C137—21no—
168C4×D4×C137—21no—
169C4×D4×C137—21no—
170C4×D4×C137—21no—
171C4×D4×C137—21no—
172C4×D4×C137—21no—
173C4×D4×C137—21no—
174C4×D4×C137—21no—
175C4×D4×C137—21no—
176C4×D4×C137—21no—
177C4×D4×C137C2×C411yescharacteristic
178C4×D4×C137C2×C411yescharacteristic
179C4×D4×C137C2×C411yescharacteristic
180C4×D4×C137C2×C411yescharacteristic
181C4×D4×C137C2×C411yescharacteristic, complemented
182C4×D4×C137C2×C411yescharacteristic, complemented
183C4×D4×C137D411yescharacteristic
184C4×D4×C137D411yescharacteristic
185C4×D4×C137D411yescharacteristic
186C4×D4×C137D411yescharacteristic
187#117×C137—21no—
188#117×C137—22no—
189#117×C137—41no—
190#117×C137C2311yescharacteristic
191C2×C4⋊C4×C137—21no—
192C2×C4⋊C4×C137—21no—
193C2×C4⋊C4×C137—21no—
194C2×C4⋊C4×C137D411yescharacteristic
195C2×C22⋊C4×C137—21no—
196C2×C22⋊C4×C137—21no—
197C2×C22⋊C4×C137—21no—
198C2×C22⋊C4×C137—21no—
199C2×C22⋊C4×C137—21no—
200C2×C22⋊C4×C137D411yescharacteristic
201C2×C22⋊C4×C137D411yescharacteristic
202C2×C42×C137—21no—
203C2×C42×C137—22no—
204C2×C42×C137—21no—
205C2×C42×C137—41no—
206C2×C42×C137C2311yescharacteristic
207C2×C42×C137C2311yescharacteristic
208C2×C42×C137C2311yescharacteristic
209C2×C42×C137C2311yescharacteristic
210C2×C42×C137C2311yescharacteristic
211C4⋊C8×C137—21no—
212C4⋊C8×C137—21no—
213#104×C137—22no—
214#104×C137—22no—
215#104×C137—22no—
216#104×C137—22no—
217#104×C137—22no—
218#104×C137—22no—
219#104×C137—22no—
220#104×C137—41no—
221#104×C137—41no—
222#104×C137—41no—
223#104×C137—41no—
224#104×C137D414yescomplemented
225C22⋊C8×C137—21no—
226C22⋊C8×C137—21no—
227C22⋊C8×C137—21no—
228C22⋊C8×C137—21no—
229#97×C137—21no—
230C4×C8×C137—21no—
231#95×C137—21no—
232#95×C137—21no—
233#95×C137—21no—
234#95×C137—21no—
235#95×C137—21no—
236C24×C137—21no—
237C24×C137—21no—
238C24×C137C2×D411yescharacteristic
239C24×C137C2×D411yescharacteristic
240#41×C137—21no—
241#41×C137—21no—
242#41×C137—22no—
243#41×C137—22no—
244#41×C137—22no—
245#41×C137—22no—
246#41×C137—21no—
247#41×C137—21no—
248#41×C137—21no—
249#41×C137—21no—
250#41×C137—21no—
251#41×C137—21no—
252#41×C137—21no—
253#41×C137—21no—
254#41×C137—42no—
255#41×C137—42no—
256#41×C137—42no—
257#41×C137—42no—
258#41×C137—41no—
259#41×C137—41no—
260#41×C137—41no—
261#41×C137—41no—
262#41×C137—42no—
263#41×C137—42no—
264#41×C137—42no—
265#41×C137—42no—
266#41×C137C2×D412yes—
267#41×C137#4112yes—
268C2×Q8×C137—21no—
269C2×Q8×C137—21no—
270C2×Q8×C137—22no—
271C2×Q8×C137—22no—
272C2×Q8×C137—41no—
273C2×Q8×C137—41no—
274C2×Q8×C137C22×C411yescharacteristic
275C2×Q8×C137C22×C411yescharacteristic
276C2×Q8×C137C22×C411yescharacteristic
277C2×D4×C137—21no—
278C2×D4×C137—22no—
279C2×D4×C137—22no—
280C2×D4×C137—21no—
281C2×D4×C137—21no—
282C2×D4×C137—21no—
283C2×D4×C137—21no—
284C2×D4×C137—21no—
285C2×D4×C137—21no—
286C2×D4×C137—21no—
287C2×D4×C137—21no—
288C2×D4×C137—21no—
289C2×D4×C137—21no—
290C2×D4×C137—21no—
291C2×D4×C137—21no—
292C2×D4×C137—21no—
293C2×D4×C137—21no—
294C2×D4×C137—41no—
295C2×D4×C137—41no—
296C2×D4×C137—42no—
297C2×D4×C137—42no—
298C2×D4×C137—42no—
299C2×D4×C137—42no—
300C2×D4×C137—42no—
301C2×D4×C137—44no—
302C2×D4×C137C22⋊C411yescharacteristic
303C2×D4×C137C22⋊C411yescharacteristic
304C2×D4×C137C22⋊C411yescharacteristic
305C2×D4×C137C22⋊C411yescharacteristic
306C2×D4×C137C22×C411yescharacteristic
307C2×D4×C137C22×C411yescharacteristic
308C2×D4×C137C22×C411yescharacteristic
309C22×C4×C137—21no—
310C22×C4×C137—21no—
311C22×C4×C137—21no—
312C22×C4×C137—21no—
313C22×C4×C137—21no—
314C22×C4×C137—21no—
315C22×C4×C137—21no—
316C22×C4×C137—21no—
317C22×C4×C137—21no—
318C22×C4×C137—21no—
319C22×C4×C137—21no—
320C22×C4×C137—21no—
321C22×C4×C137—21no—
322C22×C4×C137—21no—
323C22×C4×C137—21no—
324C22×C4×C137—21no—
325C22×C4×C137—21no—
326C22×C4×C137—21no—
327C22×C4×C137—21no—
328C22×C4×C137—21no—
329C22×C4×C137—21no—
330C22×C4×C137—21no—
331C22×C4×C137—21no—
332C22×C4×C137—42no—
333C22×C4×C137—42no—
334C22×C4×C137—42no—
335C22×C4×C137—42no—
336C22×C4×C137—42no—
337C22×C4×C137—42no—
338C22×C4×C137—42no—
339C22×C4×C137C22×C411yescharacteristic
340C22×C4×C137C22×C411yescharacteristic
341C22×C4×C137C22×C411yescharacteristic
342C22×C4×C137C22×C411yescharacteristic
343C22×C4×C137C2×D411yescharacteristic
344C22×C4×C137C2×D411yescharacteristic
345C22×C4×C137C2×D411yescharacteristic
346C22×C4×C137C2×D411yescharacteristic
347C22×C4×C137C2×D411yescharacteristic
348C22×C4×C137C2×D411yescharacteristic
349C22×C4×C137C2×D411yescharacteristic
350C22×C4×C137C2×D411yescharacteristic
351C22×C4×C137C2411yescharacteristic
352M16×C137—21no—
353M16×C137—21no—
354M16×C137—21no—
355M16×C137—21no—
356M16×C137—21no—
357M16×C137—21no—
358M16×C137—21no—
359M16×C137—42no—
360M16×C137—42no—
361M16×C137C2×D412yescomplemented
362C2×C8×C137—21no—
363C2×C8×C137—21no—
364C2×C8×C137—21no—
365C2×C8×C137—21no—
366C2×C8×C137—42no—
367C2×C8×C137—42no—
368C4⋊C4×C137—21no—
369C4⋊C4×C137—21no—
370C4⋊C4×C137—21no—
371C4⋊C4×C137—21no—
372C4⋊C4×C137—21no—
373C4⋊C4×C137—21no—
374C4⋊C4×C137—21no—
375C4⋊C4×C137—21no—
376C4⋊C4×C137—42no—
377C4⋊C4×C137—42no—
378C4⋊C4×C137C22⋊C411yescharacteristic
379C4⋊C4×C137C22⋊C411yescharacteristic
380C4⋊C4×C137C22⋊C411yescharacteristic
381C4⋊C4×C137C22⋊C411yescharacteristic
382C4⋊C4×C137C22×C411yescharacteristic
383C4⋊C4×C137C22×C411yescharacteristic
384C22⋊C4×C137—21no—
385C22⋊C4×C137—21no—
386C22⋊C4×C137—21no—
387C22⋊C4×C137—21no—
388C22⋊C4×C137—21no—
389C22⋊C4×C137—21no—
390C22⋊C4×C137—21no—
391C22⋊C4×C137—21no—
392C22⋊C4×C137—21no—
393C22⋊C4×C137—21no—
394C22⋊C4×C137—21no—
395C22⋊C4×C137—21no—
396C22⋊C4×C137—21no—
397C22⋊C4×C137—21no—
398C22⋊C4×C137—21no—
399C22⋊C4×C137—42no—
400C22⋊C4×C137—42no—
401C22⋊C4×C137—42no—
402C22⋊C4×C137C22⋊C411yescharacteristic
403C22⋊C4×C137C22⋊C411yescharacteristic
404C22⋊C4×C137C22⋊C411yescharacteristic
405C22⋊C4×C137C22⋊C411yescharacteristic
406C22⋊C4×C137C22⋊C411yescharacteristic
407C22⋊C4×C137C22⋊C411yescharacteristic
408C22⋊C4×C137C22⋊C411yescharacteristic
409C22⋊C4×C137C22⋊C411yescharacteristic
410C42×C137—21no—
411C42×C137—21no—
412C42×C137—21no—
413C42×C137—21no—
414C42×C137—21no—
415C42×C137—21no—
416C42×C137—21no—
417C42×C137—21no—
418C42×C137—21no—
419C42×C137—21no—
420C42×C137—42no—
421C42×C137C22×C411yescharacteristic
422C42×C137C22×C411yescharacteristic
423C42×C137C2×D411yescharacteristic
424C42×C137C2×D411yescharacteristic
425C42×C137C2×D412yescomplemented
426C23×C137—21no—
427C23×C137—21no—
428C23×C137—21no—
429C23×C137—22no—
430C23×C137—21no—
431C23×C137—21no—
432C23×C137—21no—
433C23×C137—21no—
434C23×C137—41no—
435C23×C137—41no—
436C23×C137—41no—
437C23×C137—42no—
438C23×C137—42no—
439C23×C137—42no—
440C23×C137—42no—
441C23×C137—81no—
442C23×C137—81no—
443C23×C137C2×C22⋊C411yescharacteristic
444C23×C137C2×C22⋊C411yescharacteristic
445C23×C137C2×C22⋊C411yescharacteristic
446C23×C137C2×C22⋊C411yescharacteristic
447C23×C137C22×D411yescharacteristic
448Q8×C137—21no—
449Q8×C137—21no—
450Q8×C137—21no—
451Q8×C137—21no—
452Q8×C137—21no—
453Q8×C137—42no—
454Q8×C137—42no—
455Q8×C137C4×D412yes—
456D4×C137—22no—
457D4×C137—22no—
458D4×C137—22no—
459D4×C137—22no—
460D4×C137—21no—
461D4×C137—21no—
462D4×C137—21no—
463D4×C137—21no—
464D4×C137—21no—
465D4×C137—41no—
466D4×C137—41no—
467D4×C137—42no—
468D4×C137—42no—
469D4×C137—42no—
470D4×C137—42no—
471D4×C137—42no—
472D4×C137—42no—
473D4×C137—42no—
474D4×C137—42no—
475D4×C137—41no—
476D4×C137—41no—
477D4×C137—41no—
478D4×C137—41no—
479D4×C137—42no—
480D4×C137—81no—
481D4×C137—81no—
482D4×C137—81no—
483D4×C137C4×D412yes—
484C2×C4×C137—21no—
485C2×C4×C137—21no—
486C2×C4×C137—21no—
487C2×C4×C137—21no—
488C2×C4×C137—21no—
489C2×C4×C137—21no—
490C2×C4×C137—21no—
491C2×C4×C137—21no—
492C2×C4×C137—21no—
493C2×C4×C137—21no—
494C2×C4×C137—21no—
495C2×C4×C137—21no—
496C2×C4×C137—21no—
497C2×C4×C137—21no—
498C2×C4×C137—21no—
499C2×C4×C137—21no—
500C2×C4×C137—21no—
501C2×C4×C137—22no—
502C2×C4×C137—21no—
503C2×C4×C137—21no—
504C2×C4×C137—21no—
505C2×C4×C137—21no—
506C2×C4×C137—22no—
507C2×C4×C137—22no—
508C2×C4×C137—21no—
509C2×C4×C137—21no—
510C2×C4×C137—21no—
511C2×C4×C137—21no—
512C2×C4×C137—22no—
513C2×C4×C137—41no—
514C2×C4×C137—41no—
515C2×C4×C137—42no—
516C2×C4×C137—42no—
517C2×C4×C137—42no—
518C2×C4×C137—42no—
519C2×C4×C137—42no—
520C2×C4×C137—42no—
521C2×C4×C137—42no—
522C2×C4×C137—41no—
523C2×C4×C137—41no—
524C2×C4×C137—41no—
525C2×C4×C137—48no—
526C2×C4×C137—41no—
527C2×C4×C137—41no—
528C2×C4×C137—41no—
529C2×C4×C137—41no—
530C2×C4×C137—41no—
531C2×C4×C137—41no—
532C2×C4×C137—41no—
533C2×C4×C137—41no—
534C2×C4×C137—41no—
535C2×C4×C137—41no—
536C2×C4×C137—41no—
537C2×C4×C137—81no—
538C2×C4×C137C2×C22⋊C411yescharacteristic
539C2×C4×C137C2×C22⋊C411yescharacteristic
540C2×C4×C137C2×C22⋊C411yescharacteristic
541C2×C4×C137C2×C22⋊C411yescharacteristic
542C2×C4×C137C2×C22⋊C411yescharacteristic
543C2×C4×C137C2×C22⋊C411yescharacteristic
544C2×C4×C137C2×C22⋊C411yescharacteristic
545C2×C4×C137C2×C22⋊C411yescharacteristic
546C2×C4×C137C23×C411yescharacteristic
547C2×C4×C137C22×D411yescharacteristic
548C2×C4×C137C22×D411yescharacteristic
549C2×C4×C137C2×#4111yescharacteristic
550C2×C4×C137H(5,𝔽2)11yescharacteristic
551C2×C4×C137H(5,𝔽2)11yescharacteristic
552C8×C137—22no—
553C8×C137—41no—
554C8×C137—41no—
555C8×C137—41no—
556C22×C137—21no—
557C22×C137—21no—
558C22×C137—21no—
559C22×C137—21no—
560C22×C137—21no—
561C22×C137—21no—
562C22×C137—21no—
563C22×C137—22no—
564C22×C137—21no—
565C22×C137—21no—
566C22×C137—21no—
567C22×C137—21no—
568C22×C137—21no—
569C22×C137—21no—
570C22×C137—42no—
571C22×C137—42no—
572C22×C137—41no—
573C22×C137—41no—
574C22×C137—41no—
575C22×C137—41no—
576C22×C137—41no—
577C22×C137—41no—
578C22×C137—41no—
579C22×C137—41no—
580C22×C137—81no—
581C22×C137—81no—
582C22×C137—84no—
583C22×C137—84no—
584C22×C137#42112yescomplemented
585C22×C137C22×C22⋊C411yescharacteristic
586C22×C137D4211yescharacteristic
587C22×C137#54611yescharacteristic
588C4×C137—21no—
589C4×C137—21no—
590C4×C137—21no—
591C4×C137—21no—
592C4×C137—22no—
593C4×C137—21no—
594C4×C137—21no—
595C4×C137—21no—
596C4×C137—21no—
597C4×C137—42no—
598C4×C137—42no—
599C4×C137—41no—
600C4×C137—41no—
601C4×C137—41no—
602C4×C137—41no—
603C4×C137—81no—
604C4×C137—81no—
605C4×C137C2×C4×D411yescharacteristic
606C4×C137#51811yescharacteristic
607C4×C137D4211yescharacteristic
608C4×C137#54611yescharacteristic
609C2×C137—21no—
610C2×C137—21no—
611C2×C137—22no—
612C2×C137—41no—
613C2×C137—41no—
614C2×C137—41no—
615C2×C137—42no—
616C2×C137—81no—
617C2×C137—81no—
618C2×C137D4×C22⋊C411yescharacteristic
619C2×C137C2×#42111yescharacteristic
620C2×C137#290111yescharacteristic
621#22434C13711yesmaximal, characteristic, direct product factor, Sylow
622C137#2243411yescharacteristic, direct product factor, Sylow
623D4×#41C2×C13711yescharacteristic
624D4×M16C2×C13711yescharacteristic, complemented
625C2×#421C2×C13711yescharacteristic, complemented
626C22×#104C2×C13711yescharacteristic, complemented
627#2290C2×C13711yescharacteristic, complemented
628#1980C2×C13711yescharacteristic, complemented
629#1963C2×C13711yescharacteristic, complemented
630#1897C2×C13711yescharacteristic, complemented
631#1896C2×C13711yescharacteristic, complemented
632#1871C2×C13711yescharacteristic, complemented
633#1871C2×C13711yescharacteristic, complemented
634#1806C2×C13711yescharacteristic, complemented
635#1789C2×C13711yescharacteristic, complemented
636#1789C2×C13711yescharacteristic, complemented
637#1759C2×C13711yescharacteristic, complemented
638C22×#41C22×C13711yescharacteristic
639C22×#41C22×C13711yescharacteristic
640C22×M16C22×C13711yescharacteristic, complemented
641C22×M16C22×C13711yescharacteristic, complemented
642#550C4×C13711yescharacteristic, complemented
643D4×Q8C4×C13711yescharacteristic, complemented
644#548C4×C13711yescharacteristic, complemented
645#548C4×C13711yescharacteristic, complemented
646#547—21no—
647#547C4×C13711yescharacteristic, complemented
648#546—21no—
649#546—21no—
650#546C4×C13711yescharacteristic, complemented
651#546C4×C13711yescharacteristic, complemented
652D42—21no—
653D42C4×C13711yescharacteristic, complemented
654#532—21no—
655#532C22×C13711yescharacteristic
656#525—21no—
657#525—21no—
658#525C22×C13711yescharacteristic
659#525C22×C13711yescharacteristic
660C4×#41C22×C13711yescharacteristic
661C2×C4×D4—21no—
662C2×C4×D4C22×C13711yescharacteristic
663C2×#117C22×C13711yescharacteristic, complemented
664C22×C42C22×C13711yescharacteristic, complemented
665#436—21no—
666#435—21no—
667#435—21no—
668C8×D4—21no—
669#423C22×C13711yescharacteristic, complemented
670#421—24no—
671C2×#104—24no—
672C2×#104C22×C13711yescharacteristic
673C2×#104C22×C13711yescharacteristic
674C2×#104C22×C13711yescharacteristic
675C2×#104C22×C13711yescharacteristic
676C2×#104C22×C13711yescharacteristic, complemented
677C2×#104C22×C13711yescharacteristic, complemented
678C2×#104C22×C13711yescharacteristic, complemented
679C2×#104C22×C13711yescharacteristic, complemented
680C2×#104C22×C13711yescharacteristic, complemented
681C2×#104C22×C13711yescharacteristic, complemented
682C2×#104C22×C13711yescharacteristic, complemented
683C2×#104C22×C13711yescharacteristic, complemented
684#407C22×C13711yescharacteristic, complemented
685#407C22×C13711yescharacteristic, complemented
686C4×M16C22×C13711yescharacteristic, complemented
687#388—21no—
688#387—21no—
689#386—21no—
690#385—21no—
691C4×C4⋊C4C22×C13711yescharacteristic, complemented
692C4×C22⋊C4C22×C13711yescharacteristic, complemented
693C4×C22⋊C4C22×C13711yescharacteristic, complemented
694#376C22×C13711yescharacteristic, complemented
695#339C22×C13711yescharacteristic, complemented
696#339C22×C13711yescharacteristic, complemented
697#339C22×C13711yescharacteristic, complemented
698#339C22×C13711yescharacteristic, complemented
699C2×#41—21no—
700C2×#41—21no—
701C2×#41—21no—
702C2×#41—21no—
703C2×#41—22no—
704C2×#41—22no—
705C2×#41—22no—
706C2×#41—22no—
707C2×#41—41no—
708C2×#41—41no—
709C2×#41—41no—
710C2×#41—41no—
711C2×#41C2×C4×C13711yescharacteristic
712C2×#41C2×C4×C13711yescharacteristic
713C2×#41C2×C4×C13711yescharacteristic, complemented
714C2×#41C2×C4×C13711yescharacteristic, complemented
715C2×#41C23×C13711yescharacteristic
716C2×#41C23×C13711yescharacteristic
717C2×#41C23×C13711yescharacteristic
718C22×Q8C2×C4×C13711yescharacteristic
719C22×Q8C2×C4×C13711yescharacteristic, complemented
720C22×D4—21no—
721C22×D4—21no—
722C22×D4—21no—
723C22×D4C2×C4×C13711yescharacteristic
724C22×D4C2×C4×C13711yescharacteristic, complemented
725C22×D4D4×C13711yescharacteristic
726C23×C4—21no—
727C23×C4—21no—
728C23×C4—21no—
729C23×C4C23×C13711yescharacteristic
730C23×C4C23×C13711yescharacteristic
731C2×M16—21no—
732C2×M16—21no—
733C2×M16—22no—
734C2×M16—22no—
735C2×M16—41no—
736C2×M16—41no—
737C2×M16C23×C13711yescharacteristic
738C2×M16C23×C13711yescharacteristic
739C2×M16C23×C13711yescharacteristic
740C2×M16C23×C13711yescharacteristic
741C22×C8—21no—
742C22×C8—21no—
743C4⋊Q8—21no—
744C4⋊Q8C2×C4×C13711yescharacteristic, complemented
745#127—21no—
746#127C2×C4×C13711yescharacteristic, complemented
747#124—21no—
748#124—21no—
749#124C2×C4×C13711yescharacteristic, complemented
750#124C2×C4×C13711yescharacteristic, complemented
751#123—21no—
752#123—21no—
753#123—21no—
754#123—21no—
755#123—21no—
756#123—21no—
757C22⋊Q8—21no—
758C22⋊Q8—21no—
759C22⋊Q8—21no—
760C22⋊Q8—21no—
761C22⋊Q8C2×C4×C13711yescharacteristic
762C22⋊Q8C2×C4×C13711yescharacteristic
763C22⋊Q8C2×C4×C13711yescharacteristic, complemented
764C22⋊Q8C2×C4×C13711yescharacteristic, complemented
765#121—21no—
766#121—21no—
767#121—21no—
768#121—21no—
769#121—21no—
770#121—21no—
771#121—21no—
772#121—21no—
773#121—21no—
774#121—21no—
775#121C2×C4×C13711yescharacteristic
776#121C2×C4×C13711yescharacteristic
777#121C2×C4×C13711yescharacteristic, complemented
778#121C2×C4×C13711yescharacteristic, complemented
779#120—21no—
780#120—21no—
781#120—21no—
782#120—21no—
783#120—21no—
784#120—21no—
785C4×Q8C2×C4×C13711yescharacteristic, complemented
786C4×Q8C2×C4×C13711yescharacteristic, complemented
787C4×D4—21no—
788C4×D4—21no—
789C4×D4—21no—
790C4×D4—21no—
791C4×D4—21no—
792C4×D4—21no—
793C4×D4—21no—
794C4×D4—21no—
795C4×D4—21no—
796C4×D4—21no—
797C4×D4—21no—
798C4×D4—21no—
799C4×D4C2×C4×C13711yescharacteristic
800C4×D4C2×C4×C13711yescharacteristic
801C4×D4C2×C4×C13711yescharacteristic
802C4×D4C2×C4×C13711yescharacteristic
803C4×D4C2×C4×C13711yescharacteristic, complemented
804C4×D4C2×C4×C13711yescharacteristic, complemented
805C4×D4D4×C13711yescharacteristic
806C4×D4D4×C13711yescharacteristic
807C4×D4D4×C13711yescharacteristic
808C4×D4D4×C13711yescharacteristic
809#117—21no—
810#117—22no—
811#117—41no—
812#117C23×C13711yescharacteristic
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4D4×C13711yescharacteristic
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4D4×C13711yescharacteristic
823C2×C22⋊C4D4×C13711yescharacteristic
824C2×C42—21no—
825C2×C42—22no—
826C2×C42—21no—
827C2×C42—41no—
828C2×C42C23×C13711yescharacteristic
829C2×C42C23×C13711yescharacteristic
830C2×C42C23×C13711yescharacteristic
831C2×C42C23×C13711yescharacteristic
832C2×C42C23×C13711yescharacteristic
833C4⋊C8—21no—
834C4⋊C8—21no—
835#104—22no—
836#104—22no—
837#104—22no—
838#104—22no—
839#104—22no—
840#104—22no—
841#104—22no—
842#104—41no—
843#104—41no—
844#104—41no—
845#104—41no—
846#104D4×C13714yescomplemented
847C22⋊C8—21no—
848C22⋊C8—21no—
849C22⋊C8—21no—
850C22⋊C8—21no—
851#97—21no—
852C4×C8—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858C24—21no—
859C24—21no—
860C24C2×D4×C13711yescharacteristic
861C24C2×D4×C13711yescharacteristic
862#41—21no—
863#41—21no—
864#41—22no—
865#41—22no—
866#41—22no—
867#41—22no—
868#41—21no—
869#41—21no—
870#41—21no—
871#41—21no—
872#41—21no—
873#41—21no—
874#41—21no—
875#41—21no—
876#41—42no—
877#41—42no—
878#41—42no—
879#41—42no—
880#41—41no—
881#41—41no—
882#41—41no—
883#41—41no—
884#41—42no—
885#41—42no—
886#41—42no—
887#41—42no—
888#41C2×D4×C13712yes—
889#41#41×C13712yes—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—22no—
893C2×Q8—22no—
894C2×Q8—41no—
895C2×Q8—41no—
896C2×Q8C22×C4×C13711yescharacteristic
897C2×Q8C22×C4×C13711yescharacteristic
898C2×Q8C22×C4×C13711yescharacteristic
899C2×D4—21no—
900C2×D4—22no—
901C2×D4—22no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—41no—
917C2×D4—41no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—44no—
924C2×D4C22⋊C4×C13711yescharacteristic
925C2×D4C22⋊C4×C13711yescharacteristic
926C2×D4C22⋊C4×C13711yescharacteristic
927C2×D4C22⋊C4×C13711yescharacteristic
928C2×D4C22×C4×C13711yescharacteristic
929C2×D4C22×C4×C13711yescharacteristic
930C2×D4C22×C4×C13711yescharacteristic
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—42no—
955C22×C4—42no—
956C22×C4—42no—
957C22×C4—42no—
958C22×C4—42no—
959C22×C4—42no—
960C22×C4—42no—
961C22×C4C22×C4×C13711yescharacteristic
962C22×C4C22×C4×C13711yescharacteristic
963C22×C4C22×C4×C13711yescharacteristic
964C22×C4C22×C4×C13711yescharacteristic
965C22×C4C2×D4×C13711yescharacteristic
966C22×C4C2×D4×C13711yescharacteristic
967C22×C4C2×D4×C13711yescharacteristic
968C22×C4C2×D4×C13711yescharacteristic
969C22×C4C2×D4×C13711yescharacteristic
970C22×C4C2×D4×C13711yescharacteristic
971C22×C4C2×D4×C13711yescharacteristic
972C22×C4C2×D4×C13711yescharacteristic
973C22×C4C24×C13711yescharacteristic
974M16—21no—
975M16—21no—
976M16—21no—
977M16—21no—
978M16—21no—
979M16—21no—
980M16—21no—
981M16—42no—
982M16—42no—
983M16C2×D4×C13712yescomplemented
984C2×C8—21no—
985C2×C8—21no—
986C2×C8—21no—
987C2×C8—21no—
988C2×C8—42no—
989C2×C8—42no—
990C4⋊C4—21no—
991C4⋊C4—21no—
992C4⋊C4—21no—
993C4⋊C4—21no—
994C4⋊C4—21no—
995C4⋊C4—21no—
996C4⋊C4—21no—
997C4⋊C4—21no—
998C4⋊C4—42no—
999C4⋊C4—42no—
1000C4⋊C4C22⋊C4×C13711yescharacteristic
1001C4⋊C4C22⋊C4×C13711yescharacteristic
1002C4⋊C4C22⋊C4×C13711yescharacteristic
1003C4⋊C4C22⋊C4×C13711yescharacteristic
1004C4⋊C4C22×C4×C13711yescharacteristic
1005C4⋊C4C22×C4×C13711yescharacteristic
1006C22⋊C4—21no—
1007C22⋊C4—21no—
1008C22⋊C4—21no—
1009C22⋊C4—21no—
1010C22⋊C4—21no—
1011C22⋊C4—21no—
1012C22⋊C4—21no—
1013C22⋊C4—21no—
1014C22⋊C4—21no—
1015C22⋊C4—21no—
1016C22⋊C4—21no—
1017C22⋊C4—21no—
1018C22⋊C4—21no—
1019C22⋊C4—21no—
1020C22⋊C4—21no—
1021C22⋊C4—42no—
1022C22⋊C4—42no—
1023C22⋊C4—42no—
1024C22⋊C4C22⋊C4×C13711yescharacteristic
1025C22⋊C4C22⋊C4×C13711yescharacteristic
1026C22⋊C4C22⋊C4×C13711yescharacteristic
1027C22⋊C4C22⋊C4×C13711yescharacteristic
1028C22⋊C4C22⋊C4×C13711yescharacteristic
1029C22⋊C4C22⋊C4×C13711yescharacteristic
1030C22⋊C4C22⋊C4×C13711yescharacteristic
1031C22⋊C4C22⋊C4×C13711yescharacteristic
1032C42—21no—
1033C42—21no—
1034C42—21no—
1035C42—21no—
1036C42—21no—
1037C42—21no—
1038C42—21no—
1039C42—21no—
1040C42—21no—
1041C42—21no—
1042C42—42no—
1043C42C22×C4×C13711yescharacteristic
1044C42C22×C4×C13711yescharacteristic
1045C42C2×D4×C13711yescharacteristic
1046C42C2×D4×C13711yescharacteristic
1047C42C2×D4×C13712yescomplemented
1048C23—22no—
1049C23—21no—
1050C23—21no—
1051C23—21no—
1052C23—21no—
1053C23—21no—
1054C23—21no—
1055C23—21no—
1056C23—41no—
1057C23—41no—
1058C23—41no—
1059C23—42no—
1060C23—42no—
1061C23—42no—
1062C23—42no—
1063C23—81no—
1064C23—81no—
1065C23C2×C22⋊C4×C13711yescharacteristic
1066C23C2×C22⋊C4×C13711yescharacteristic
1067C23C2×C22⋊C4×C13711yescharacteristic
1068C23C2×C22⋊C4×C13711yescharacteristic
1069C23C22×D4×C13711yescharacteristic
1070Q8—21no—
1071Q8—21no—
1072Q8—21no—
1073Q8—21no—
1074Q8—21no—
1075Q8—42no—
1076Q8—42no—
1077Q8C4×D4×C13712yes—
1078D4—22no—
1079D4—22no—
1080D4—22no—
1081D4—22no—
1082D4—21no—
1083D4—21no—
1084D4—21no—
1085D4—21no—
1086D4—21no—
1087D4—41no—
1088D4—41no—
1089D4—42no—
1090D4—42no—
1091D4—42no—
1092D4—42no—
1093D4—42no—
1094D4—42no—
1095D4—42no—
1096D4—42no—
1097D4—42no—
1098D4—41no—
1099D4—41no—
1100D4—41no—
1101D4—41no—
1102D4—81no—
1103D4—81no—
1104D4—81no—
1105D4C4×D4×C13712yes—
1106C2×C4—21no—
1107C2×C4—21no—
1108C2×C4—21no—
1109C2×C4—21no—
1110C2×C4—21no—
1111C2×C4—21no—
1112C2×C4—21no—
1113C2×C4—21no—
1114C2×C4—21no—
1115C2×C4—21no—
1116C2×C4—21no—
1117C2×C4—21no—
1118C2×C4—21no—
1119C2×C4—21no—
1120C2×C4—21no—
1121C2×C4—21no—
1122C2×C4—21no—
1123C2×C4—22no—
1124C2×C4—21no—
1125C2×C4—21no—
1126C2×C4—21no—
1127C2×C4—21no—
1128C2×C4—22no—
1129C2×C4—22no—
1130C2×C4—21no—
1131C2×C4—21no—
1132C2×C4—21no—
1133C2×C4—21no—
1134C2×C4—22no—
1135C2×C4—41no—
1136C2×C4—41no—
1137C2×C4—42no—
1138C2×C4—42no—
1139C2×C4—42no—
1140C2×C4—42no—
1141C2×C4—42no—
1142C2×C4—42no—
1143C2×C4—42no—
1144C2×C4—41no—
1145C2×C4—41no—
1146C2×C4—41no—
1147C2×C4—48no—
1148C2×C4—41no—
1149C2×C4—41no—
1150C2×C4—41no—
1151C2×C4—41no—
1152C2×C4—41no—
1153C2×C4—41no—
1154C2×C4—41no—
1155C2×C4—41no—
1156C2×C4—41no—
1157C2×C4—41no—
1158C2×C4—41no—
1159C2×C4—81no—
1160C2×C4C2×C22⋊C4×C13711yescharacteristic
1161C2×C4C2×C22⋊C4×C13711yescharacteristic
1162C2×C4C2×C22⋊C4×C13711yescharacteristic
1163C2×C4C2×C22⋊C4×C13711yescharacteristic
1164C2×C4C2×C22⋊C4×C13711yescharacteristic
1165C2×C4C2×C22⋊C4×C13711yescharacteristic
1166C2×C4C2×C22⋊C4×C13711yescharacteristic
1167C2×C4C2×C22⋊C4×C13711yescharacteristic
1168C2×C4C23×C4×C13711yescharacteristic
1169C2×C4C22×D4×C13711yescharacteristic
1170C2×C4C22×D4×C13711yescharacteristic
1171C2×C4C2×#41×C13711yescharacteristic
1172C2×C4H(5,𝔽2)×C13711yescharacteristic
1173C2×C4H(5,𝔽2)×C13711yescharacteristic
1174C8—22no—
1175C8—41no—
1176C8—41no—
1177C8—41no—
1178C22—21no—
1179C22—21no—
1180C22—21no—
1181C22—21no—
1182C22—21no—
1183C22—21no—
1184C22—21no—
1185C22—22no—
1186C22—21no—
1187C22—21no—
1188C22—21no—
1189C22—21no—
1190C22—21no—
1191C22—21no—
1192C22—42no—
1193C22—42no—
1194C22—41no—
1195C22—41no—
1196C22—41no—
1197C22—41no—
1198C22—41no—
1199C22—41no—
1200C22—41no—
1201C22—41no—
1202C22—81no—
1203C22—81no—
1204C22—84no—
1205C22—84no—
1206C22#421×C13712yescomplemented
1207C22C22×C22⋊C4×C13711yescharacteristic
1208C22D42×C13711yescharacteristic
1209C22#546×C13711yescharacteristic
1210C4—21no—
1211C4—21no—
1212C4—21no—
1213C4—21no—
1214C4—22no—
1215C4—21no—
1216C4—21no—
1217C4—21no—
1218C4—21no—
1219C4—42no—
1220C4—42no—
1221C4—41no—
1222C4—41no—
1223C4—41no—
1224C4—41no—
1225C4—81no—
1226C4—81no—
1227C4C2×C4×D4×C13711yescharacteristic
1228C4#518×C13711yescharacteristic
1229C4D42×C13711yescharacteristic
1230C4#546×C13711yescharacteristic
1231C2—21no—
1232C2—21no—
1233C2—22no—
1234C2—41no—
1235C2—41no—
1236C2—41no—
1237C2—42no—
1238C2—81no—
1239C2—81no—
1240C2D4×C22⋊C4×C13711yescharacteristic
1241C2C2×#421×C13711yescharacteristic
1242C2#2901×C13711yescharacteristic
subgroupG/H
centerC2×C4×C137C22×D4
commutatorC2×C4C23×C4×C137
Frattini, cosocleC22×C4C24×C137
socleC22×C137C22×C22⋊C4
prime radicalD4×#41×C137C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C137 ◁ C2×C4×D4×C137 ◁ G

Complements

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

NH ≅ G/Ntype
2. D4×M16×C137C2semidirect
3. C2×#421×C137C2semidirect
4. C22×#104×C137C2semidirect
5. #2290×C137C2semidirect
6. #1980×C137C2semidirect
7. #1963×C137C2semidirect
8. #1897×C137C2semidirect
9. #1896×C137C2semidirect
10. #1871×C137C2semidirect
11. #1871×C137C2semidirect
12. #1806×C137C2semidirect
13. #1789×C137C2semidirect
14. #1789×C137C2semidirect
15. #1759×C137C2semidirect
18. C22×M16×C137C22semidirect
19. C22×M16×C137C22semidirect
20. #550×C137C4semidirect
21. D4×Q8×C137C4semidirect
22. #548×C137C4semidirect
23. #548×C137C4semidirect
25. #547×C137C4semidirect
28. #546×C137C4semidirect
29. #546×C137C4semidirect
31. D42×C137C4semidirect
41. C2×#117×C137C22semidirect
42. C22×C42×C137C22semidirect
47. #423×C137C22semidirect
54. C2×#104×C137C22semidirect
55. C2×#104×C137C22semidirect
56. C2×#104×C137C22semidirect
57. C2×#104×C137C22semidirect
58. C2×#104×C137C22semidirect
59. C2×#104×C137C22semidirect
60. C2×#104×C137C22semidirect
61. C2×#104×C137C22semidirect
62. #407×C137C22semidirect
63. #407×C137C22semidirect
64. C4×M16×C137C22semidirect
69. C4×C4⋊C4×C137C22semidirect
70. C4×C22⋊C4×C137C22semidirect
71. C4×C22⋊C4×C137C22semidirect
72. #376×C137C22semidirect
73. #339×C137C22semidirect
74. #339×C137C22semidirect
75. #339×C137C22semidirect
76. #339×C137C22semidirect
91. C2×#41×C137C2×C4semidirect
92. C2×#41×C137C2×C4semidirect
97. C22×Q8×C137C2×C4semidirect
102. C22×D4×C137C2×C4semidirect
122. C4⋊Q8×C137C2×C4semidirect
124. #127×C137C2×C4semidirect
127. #124×C137C2×C4semidirect
128. #124×C137C2×C4semidirect
141. C22⋊Q8×C137C2×C4semidirect
142. C22⋊Q8×C137C2×C4semidirect
155. #121×C137C2×C4semidirect
156. #121×C137C2×C4semidirect
163. C4×Q8×C137C2×C4semidirect
164. C4×Q8×C137C2×C4semidirect
181. C4×D4×C137C2×C4semidirect
182. C4×D4×C137C2×C4semidirect
224. #104×C137D4semidirect
361. M16×C137C2×D4semidirect
425. C42×C137C2×D4semidirect
584. C22×C137#421semidirect
621. #22434C137direct (N × H)
622. C137#22434direct (N × H)
624. D4×M16C2×C137semidirect
625. C2×#421C2×C137semidirect
626. C22×#104C2×C137semidirect
627. #2290C2×C137semidirect
628. #1980C2×C137semidirect
629. #1963C2×C137semidirect
630. #1897C2×C137semidirect
631. #1896C2×C137semidirect
632. #1871C2×C137semidirect
633. #1871C2×C137semidirect
634. #1806C2×C137semidirect
635. #1789C2×C137semidirect
636. #1789C2×C137semidirect
637. #1759C2×C137semidirect
640. C22×M16C22×C137semidirect
641. C22×M16C22×C137semidirect
642. #550C4×C137semidirect
643. D4×Q8C4×C137semidirect
644. #548C4×C137semidirect
645. #548C4×C137semidirect
647. #547C4×C137semidirect
650. #546C4×C137semidirect
651. #546C4×C137semidirect
653. D42C4×C137semidirect
663. C2×#117C22×C137semidirect
664. C22×C42C22×C137semidirect
669. #423C22×C137semidirect
676. C2×#104C22×C137semidirect
677. C2×#104C22×C137semidirect
678. C2×#104C22×C137semidirect
679. C2×#104C22×C137semidirect
680. C2×#104C22×C137semidirect
681. C2×#104C22×C137semidirect
682. C2×#104C22×C137semidirect
683. C2×#104C22×C137semidirect
684. #407C22×C137semidirect
685. #407C22×C137semidirect
686. C4×M16C22×C137semidirect
691. C4×C4⋊C4C22×C137semidirect
692. C4×C22⋊C4C22×C137semidirect
693. C4×C22⋊C4C22×C137semidirect
694. #376C22×C137semidirect
695. #339C22×C137semidirect
696. #339C22×C137semidirect
697. #339C22×C137semidirect
698. #339C22×C137semidirect
713. C2×#41C2×C4×C137semidirect
714. C2×#41C2×C4×C137semidirect
719. C22×Q8C2×C4×C137semidirect
724. C22×D4C2×C4×C137semidirect
744. C4⋊Q8C2×C4×C137semidirect
746. #127C2×C4×C137semidirect
749. #124C2×C4×C137semidirect
750. #124C2×C4×C137semidirect
763. C22⋊Q8C2×C4×C137semidirect
764. C22⋊Q8C2×C4×C137semidirect
777. #121C2×C4×C137semidirect
778. #121C2×C4×C137semidirect
785. C4×Q8C2×C4×C137semidirect
786. C4×Q8C2×C4×C137semidirect
803. C4×D4C2×C4×C137semidirect
804. C4×D4C2×C4×C137semidirect
846. #104D4×C137semidirect
983. M16C2×D4×C137semidirect
1047. C42C2×D4×C137semidirect
1206. C22#421×C137semidirect

Maximal subgroups

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

subgroupindex
D4×#41×C1372
D4×M16×C1372
C2×#421×C1372
C22×#104×C1372
#2290×C1372
#1980×C1372
#1963×C1372
#1897×C1372
#1896×C1372
#1871×C1372
#1806×C1372
#1789×C1372
#1759×C1372
#22434137