Finite Group Databasebeta

← C137×#14023 #46863409

Subgroups — C137×#14023 #46863409

Order 35072.

3166 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#121×C137C211yesmaximal, characteristic
2C22×C4×D4×C137C211yesmaximal, characteristic, complemented
3C2×#386×C137C211yesmaximal, characteristic, complemented
4C2×#386×C137C211yesmaximal, characteristic, complemented
5C2×#386×C137C211yesmaximal, characteristic, complemented
6C2×#386×C137C211yesmaximal, characteristic, complemented
7C22×#95×C137C211yesmaximal, characteristic, complemented
8#1441×C137C211yesmaximal, characteristic, complemented
9#1440×C137C211yesmaximal, characteristic, complemented
10#1439×C137C211yesmaximal, characteristic, complemented
11#1438×C137C211yesmaximal, characteristic, complemented
12#1437×C137C211yesmaximal, characteristic, complemented
13#1436×C137C211yesmaximal, characteristic, complemented
14C22⋊#95×C137C211yesmaximal, characteristic, complemented
15C22⋊#95×C137C211yesmaximal, characteristic, complemented
16C23×D4×C137C2211yescharacteristic
17C23×D4×C137C2211yescharacteristic
18C23×D4×C137C2211yescharacteristic
19C24×C4×C137C2211yescharacteristic
20C24×C4×C137C2211yescharacteristic
21C24×C4×C137C2211yescharacteristic
22C24×C4×C137C2211yescharacteristic
23C2×#121×C137—24no—
24C2×#121×C137—24no—
25C2×#121×C137C418yescomplemented
26C2×C4×D4×C137—24no—
27C2×C4×D4×C137—24no—
28C2×C4×D4×C137—24no—
29C22×C4⋊C4×C137C2211yescharacteristic
30C22×C4⋊C4×C137C2211yescharacteristic
31C22×C22⋊C4×C137C2211yescharacteristic
32C22×C22⋊C4×C137C2211yescharacteristic
33C22×C22⋊C4×C137C2211yescharacteristic
34C22×C22⋊C4×C137C2211yescharacteristic
35C22×C22⋊C4×C137C2211yescharacteristic
36C22×C22⋊C4×C137C2211yescharacteristic
37C22×C22⋊C4×C137C2211yescharacteristic
38C22×C22⋊C4×C137C2211yescharacteristic
39C22×C22⋊C4×C137C2211yescharacteristic
40C22×C22⋊C4×C137C2211yescharacteristic
41C22×C22⋊C4×C137C2211yescharacteristic
42C22×C42×C137C2211yescharacteristic
43#386×C137—24no—
44#386×C137—24no—
45#386×C137—24no—
46#386×C137—24no—
47C2×#95×C137—24no—
48C2×#95×C137C2211yescharacteristic
49C2×#95×C137C2211yescharacteristic
50C2×#95×C137C2211yescharacteristic
51C2×#95×C137C2211yescharacteristic
52C2×#95×C137C2211yescharacteristic
53C2×#95×C137C2211yescharacteristic
54C2×#95×C137C2211yescharacteristic
55C2×#95×C137C2211yescharacteristic
56C2×#95×C137C2211yescharacteristic
57C2×#95×C137C2211yescharacteristic
58C2×#95×C137C2211yescharacteristic
59C2×#95×C137C2211yescharacteristic
60C2×#95×C137C2211yescharacteristic
61C2×#95×C137C2211yescharacteristic
62C25×C137C2311yescharacteristic
63C25×C137C2311yescharacteristic
64C25×C137C2311yescharacteristic
65C22×D4×C137—22no—
66C22×D4×C137—22no—
67C22×D4×C137—22no—
68C22×D4×C137—22no—
69C22×D4×C137—22no—
70C22×D4×C137—22no—
71C22×D4×C137—22no—
72C22×D4×C137—22no—
73C22×D4×C137—22no—
74C22×D4×C137—22no—
75C22×D4×C137—22no—
76C22×D4×C137—22no—
77C22×D4×C137—22no—
78C22×D4×C137—22no—
79C22×D4×C137—41no—
80C22×D4×C137—41no—
81C22×D4×C137C2×C414yes—
82C22×D4×C137C2×C414yescomplemented
83C22×D4×C137C2×C414yescomplemented
84C22×D4×C137D414yes—
85C22×D4×C137D414yes—
86C23×C4×C137—22no—
87C23×C4×C137—22no—
88C23×C4×C137—22no—
89C23×C4×C137—22no—
90C23×C4×C137—22no—
91C23×C4×C137—22no—
92C23×C4×C137—22no—
93C23×C4×C137—22no—
94C23×C4×C137—22no—
95C23×C4×C137—22no—
96C23×C4×C137—22no—
97C23×C4×C137—22no—
98C23×C4×C137—22no—
99C23×C4×C137—22no—
100C23×C4×C137—22no—
101C23×C4×C137—22no—
102C23×C4×C137—22no—
103C23×C4×C137—22no—
104C23×C4×C137—41no—
105C23×C4×C137—41no—
106C23×C4×C137—41no—
107C23×C4×C137—41no—
108C23×C4×C137—41no—
109C23×C4×C137—41no—
110C23×C4×C137—41no—
111C23×C4×C137—41no—
112C23×C4×C137C2×C414yescomplemented
113C23×C4×C137D414yescomplemented
114C23×C4×C137C2311yescharacteristic
115C23×C4×C137C2311yescharacteristic
116C23×C4×C137C2311yescharacteristic
117C23×C4×C137C2311yescharacteristic
118C23×C4×C137C2311yescharacteristic
119C23×C4×C137C2311yescharacteristic
120C23×C4×C137C2311yescharacteristic
121C23×C4×C137C2311yescharacteristic
122C23×C4×C137C2311yescharacteristic
123C23×C4×C137C2311yescharacteristic
124C23×C4×C137C2311yescharacteristic
125C23×C4×C137C2311yescharacteristic
126#121×C137—232no—
127C4×D4×C137—232no—
128C2×C4⋊C4×C137—22no—
129C2×C4⋊C4×C137—22no—
130C2×C4⋊C4×C137—22no—
131C2×C4⋊C4×C137—22no—
132C2×C4⋊C4×C137—22no—
133C2×C4⋊C4×C137C2×C414yescomplemented
134C2×C22⋊C4×C137—22no—
135C2×C22⋊C4×C137—22no—
136C2×C22⋊C4×C137—22no—
137C2×C22⋊C4×C137—22no—
138C2×C22⋊C4×C137—22no—
139C2×C22⋊C4×C137—22no—
140C2×C22⋊C4×C137—22no—
141C2×C22⋊C4×C137—22no—
142C2×C22⋊C4×C137—22no—
143C2×C22⋊C4×C137—22no—
144C2×C22⋊C4×C137—22no—
145C2×C22⋊C4×C137—22no—
146C2×C22⋊C4×C137—22no—
147C2×C22⋊C4×C137—22no—
148C2×C22⋊C4×C137—22no—
149C2×C22⋊C4×C137—22no—
150C2×C22⋊C4×C137—22no—
151C2×C22⋊C4×C137—22no—
152C2×C22⋊C4×C137—22no—
153C2×C22⋊C4×C137—22no—
154C2×C22⋊C4×C137—22no—
155C2×C22⋊C4×C137—22no—
156C2×C22⋊C4×C137—22no—
157C2×C22⋊C4×C137—22no—
158C2×C22⋊C4×C137—41no—
159C2×C22⋊C4×C137—41no—
160C2×C22⋊C4×C137—41no—
161C2×C22⋊C4×C137—41no—
162C2×C22⋊C4×C137—41no—
163C2×C22⋊C4×C137—41no—
164C2×C22⋊C4×C137C2×C414yescomplemented
165C2×C22⋊C4×C137C2×C414yescomplemented
166C2×C22⋊C4×C137D414yescomplemented
167C2×C42×C137—22no—
168C2×C42×C137—22no—
169C2×C42×C137—22no—
170#95×C137—22no—
171#95×C137—22no—
172#95×C137—22no—
173#95×C137—22no—
174#95×C137—22no—
175#95×C137—22no—
176#95×C137—22no—
177#95×C137—22no—
178#95×C137—22no—
179#95×C137—22no—
180#95×C137—22no—
181#95×C137—41no—
182#95×C137—41no—
183#95×C137D414yescomplemented
184C24×C137—21no—
185C24×C137—21no—
186C24×C137—21no—
187C24×C137—21no—
188C24×C137—21no—
189C24×C137—21no—
190C24×C137—21no—
191C24×C137—21no—
192C24×C137—21no—
193C24×C137—21no—
194C24×C137—21no—
195C24×C137—21no—
196C24×C137—21no—
197C24×C137—21no—
198C24×C137—21no—
199C24×C137—21no—
200C24×C137—21no—
201C24×C137—21no—
202C24×C137—21no—
203C24×C137—21no—
204C24×C137—21no—
205C24×C137—21no—
206C24×C137—21no—
207C24×C137—21no—
208C24×C137—21no—
209C24×C137—21no—
210C24×C137—21no—
211C24×C137—21no—
212C24×C137—21no—
213C24×C137—21no—
214C24×C137—21no—
215C24×C137—21no—
216C24×C137—21no—
217C24×C137—21no—
218C24×C137C22×C412yes—
219C24×C137C22×C412yes—
220C24×C137C22×C412yes—
221C24×C137C2×D412yes—
222C24×C137C2×D412yes—
223C24×C137C2×D412yes—
224C24×C137C2×D412yes—
225C24×C137C2×D412yes—
226C24×C137C2×D412yes—
227C24×C137#4112yes—
228C24×C137#4112yes—
229C24×C137C2411yescharacteristic
230C2×D4×C137—28no—
231C2×D4×C137—28no—
232C2×D4×C137—28no—
233C2×D4×C137—28no—
234C2×D4×C137—28no—
235C2×D4×C137—28no—
236C2×D4×C137—28no—
237C2×D4×C137—28no—
238C2×D4×C137—28no—
239C2×D4×C137—28no—
240C2×D4×C137—28no—
241C2×D4×C137—44no—
242C2×D4×C137—44no—
243C2×D4×C137—44no—
244C2×D4×C137—44no—
245C2×D4×C137—44no—
246C2×D4×C137—44no—
247C2×D4×C137—44no—
248C2×D4×C137—44no—
249C2×D4×C137—44no—
250C2×D4×C137C22⋊C4116yescomplemented
251C22×C4×C137—21no—
252C22×C4×C137—21no—
253C22×C4×C137—21no—
254C22×C4×C137—21no—
255C22×C4×C137—21no—
256C22×C4×C137—21no—
257C22×C4×C137—21no—
258C22×C4×C137—21no—
259C22×C4×C137—21no—
260C22×C4×C137—21no—
261C22×C4×C137—21no—
262C22×C4×C137—21no—
263C22×C4×C137—28no—
264C22×C4×C137—28no—
265C22×C4×C137—28no—
266C22×C4×C137—28no—
267C22×C4×C137—21no—
268C22×C4×C137—21no—
269C22×C4×C137—21no—
270C22×C4×C137—21no—
271C22×C4×C137—21no—
272C22×C4×C137—21no—
273C22×C4×C137—21no—
274C22×C4×C137—21no—
275C22×C4×C137—21no—
276C22×C4×C137—21no—
277C22×C4×C137—21no—
278C22×C4×C137—21no—
279C22×C4×C137—21no—
280C22×C4×C137—21no—
281C22×C4×C137—21no—
282C22×C4×C137—21no—
283C22×C4×C137—21no—
284C22×C4×C137—21no—
285C22×C4×C137—21no—
286C22×C4×C137—21no—
287C22×C4×C137—21no—
288C22×C4×C137—21no—
289C22×C4×C137—21no—
290C22×C4×C137—21no—
291C22×C4×C137—21no—
292C22×C4×C137—21no—
293C22×C4×C137—21no—
294C22×C4×C137—21no—
295C22×C4×C137—21no—
296C22×C4×C137—21no—
297C22×C4×C137—21no—
298C22×C4×C137—21no—
299C22×C4×C137—21no—
300C22×C4×C137—21no—
301C22×C4×C137—21no—
302C22×C4×C137—21no—
303C22×C4×C137—21no—
304C22×C4×C137—21no—
305C22×C4×C137—21no—
306C22×C4×C137—21no—
307C22×C4×C137—21no—
308C22×C4×C137—21no—
309C22×C4×C137—28no—
310C22×C4×C137—28no—
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—44no—
326C22×C4×C137—44no—
327C22×C4×C137—44no—
328C22×C4×C137—44no—
329C22×C4×C137—44no—
330C22×C4×C137—44no—
331C22×C4×C137—44no—
332C22×C4×C137—44no—
333C22×C4×C137—44no—
334C22×C4×C137—44no—
335C22×C4×C137—44no—
336C22×C4×C137—44no—
337C22×C4×C137—44no—
338C22×C4×C137—44no—
339C22×C4×C137—44no—
340C22×C4×C137—44no—
341C22×C4×C137—44no—
342C22×C4×C137—44no—
343C22×C4×C137—44no—
344C22×C4×C137—44no—
345C22×C4×C137—44no—
346C22×C4×C137—44no—
347C22×C4×C137C22×C412yes—
348C22×C4×C137C22×C412yes—
349C22×C4×C137C22×C412yes—
350C22×C4×C137C22×C412yes—
351C22×C4×C137C2×D412yes—
352C22×C4×C137C2×D412yes—
353C22×C4×C137C2×D412yes—
354C22×C4×C137C2×D412yes—
355C22×C4×C137C2×D412yes—
356C22×C4×C137C2×D412yes—
357C22×C4×C137C2×D412yes—
358C22×C4×C137C2×D412yes—
359C22×C4×C137C2×D412yes—
360C22×C4×C137#4112yes—
361C22×C4×C137#4112yes—
362C22×C4×C137#4112yes—
363C4⋊C4×C137—28no—
364C4⋊C4×C137—28no—
365C22⋊C4×C137—28no—
366C22⋊C4×C137—28no—
367C22⋊C4×C137—28no—
368C22⋊C4×C137—28no—
369C22⋊C4×C137—44no—
370C22⋊C4×C137—44no—
371C22⋊C4×C137—44no—
372C22⋊C4×C137—44no—
373C22⋊C4×C137—44no—
374C22⋊C4×C137—44no—
375C22⋊C4×C137—44no—
376C42×C137—28no—
377C23×C137—22no—
378C23×C137—22no—
379C23×C137—22no—
380C23×C137—22no—
381C23×C137—22no—
382C23×C137—22no—
383C23×C137—22no—
384C23×C137—22no—
385C23×C137—22no—
386C23×C137—22no—
387C23×C137—22no—
388C23×C137—22no—
389C23×C137—22no—
390C23×C137—22no—
391C23×C137—22no—
392C23×C137—22no—
393C23×C137—22no—
394C23×C137—22no—
395C23×C137—22no—
396C23×C137—22no—
397C23×C137—22no—
398C23×C137—22no—
399C23×C137—22no—
400C23×C137—22no—
401C23×C137—22no—
402C23×C137—22no—
403C23×C137—22no—
404C23×C137—22no—
405C23×C137—22no—
406C23×C137—22no—
407C23×C137—22no—
408C23×C137—22no—
409C23×C137—22no—
410C23×C137—22no—
411C23×C137—22no—
412C23×C137—22no—
413C23×C137—22no—
414C23×C137—22no—
415C23×C137—22no—
416C23×C137—22no—
417C23×C137—22no—
418C23×C137—22no—
419C23×C137—22no—
420C23×C137—22no—
421C23×C137—22no—
422C23×C137—22no—
423C23×C137—22no—
424C23×C137—22no—
425C23×C137—22no—
426C23×C137—22no—
427C23×C137—22no—
428C23×C137—22no—
429C23×C137—22no—
430C23×C137—41no—
431C23×C137—41no—
432C23×C137—41no—
433C23×C137—41no—
434C23×C137—41no—
435C23×C137—41no—
436C23×C137—41no—
437C23×C137—41no—
438C23×C137—41no—
439C23×C137—41no—
440C23×C137—41no—
441C23×C137—41no—
442C23×C137—41no—
443C23×C137—41no—
444C23×C137—41no—
445C23×C137—41no—
446C23×C137—41no—
447C23×C137—41no—
448C23×C137—41no—
449C23×C137—41no—
450C23×C137—41no—
451C23×C137—41no—
452C23×C137—41no—
453C23×C137—41no—
454C23×C137—41no—
455C23×C137—41no—
456C23×C137—41no—
457C23×C137—41no—
458C23×C137—41no—
459C23×C137—41no—
460C23×C137—41no—
461C23×C137—41no—
462C23×C137—41no—
463C23×C137—41no—
464C23×C137—41no—
465C23×C137—41no—
466C23×C137—41no—
467C23×C137—41no—
468C23×C137—41no—
469C23×C137—41no—
470C23×C137—41no—
471C23×C137—41no—
472C23×C137—41no—
473C23×C137—41no—
474C23×C137C2×C22⋊C414yes—
475C23×C137C2×C22⋊C414yes—
476C23×C137C4×D414yes—
477C23×C137C4×D414yes—
478C23×C137#12014yes—
479C23×C137#12114yes—
480C23×C137#12114yes—
481C23×C137#12314yes—
482C23×C137C23×C411yescharacteristic
483C23×C137C22×D411yescharacteristic
484C23×C137C22×D411yescharacteristic
485C23×C137C22×D411yescharacteristic
486C23×C137C22×D411yescharacteristic
487C23×C137C22×D411yescharacteristic
488C23×C137C2×#4111yescharacteristic
489C23×C137C2×#4111yescharacteristic
490C23×C137C2×#4111yescharacteristic
491C23×C137C2×#4111yescharacteristic
492C23×C137C2×#4111yescharacteristic
493C23×C137H(5,𝔽2)11yescharacteristic
494C23×C137H(5,𝔽2)11yescharacteristic
495C23×C137H(5,𝔽2)11yescharacteristic
496C23×C1372−1+411yescharacteristic
497D4×C137—232no—
498D4×C137—416no—
499D4×C137—416no—
500C2×C4×C137—22no—
501C2×C4×C137—22no—
502C2×C4×C137—22no—
503C2×C4×C137—22no—
504C2×C4×C137—22no—
505C2×C4×C137—22no—
506C2×C4×C137—22no—
507C2×C4×C137—22no—
508C2×C4×C137—22no—
509C2×C4×C137—22no—
510C2×C4×C137—22no—
511C2×C4×C137—22no—
512C2×C4×C137—22no—
513C2×C4×C137—22no—
514C2×C4×C137—22no—
515C2×C4×C137—22no—
516C2×C4×C137—22no—
517C2×C4×C137—22no—
518C2×C4×C137—22no—
519C2×C4×C137—22no—
520C2×C4×C137—22no—
521C2×C4×C137—22no—
522C2×C4×C137—22no—
523C2×C4×C137—22no—
524C2×C4×C137—22no—
525C2×C4×C137—22no—
526C2×C4×C137—22no—
527C2×C4×C137—22no—
528C2×C4×C137—22no—
529C2×C4×C137—22no—
530C2×C4×C137—22no—
531C2×C4×C137—22no—
532C2×C4×C137—22no—
533C2×C4×C137—22no—
534C2×C4×C137—22no—
535C2×C4×C137—22no—
536C2×C4×C137—22no—
537C2×C4×C137—22no—
538C2×C4×C137—22no—
539C2×C4×C137—416no—
540C2×C4×C137—416no—
541C2×C4×C137—416no—
542C2×C4×C137—416no—
543C2×C4×C137—41no—
544C2×C4×C137—41no—
545C2×C4×C137—41no—
546C2×C4×C137—41no—
547C2×C4×C137—41no—
548C2×C4×C137—41no—
549C2×C4×C137—41no—
550C2×C4×C137—41no—
551C2×C4×C137—41no—
552C2×C4×C137—41no—
553C2×C4×C137—41no—
554C2×C4×C137—41no—
555C2×C4×C137—41no—
556C2×C4×C137—41no—
557C2×C4×C137—41no—
558C2×C4×C137—41no—
559C2×C4×C137—41no—
560C2×C4×C137—41no—
561C2×C4×C137—41no—
562C2×C4×C137—41no—
563C2×C4×C137—41no—
564C2×C4×C137—41no—
565C2×C4×C137—41no—
566C2×C4×C137—41no—
567C2×C4×C137—41no—
568C2×C4×C137—41no—
569C2×C4×C137—41no—
570C2×C4×C137—41no—
571C2×C4×C137—41no—
572C2×C4×C137—41no—
573C2×C4×C137—41no—
574C2×C4×C137—41no—
575C2×C4×C137—41no—
576C2×C4×C137—41no—
577C2×C4×C137—41no—
578C2×C4×C137—41no—
579C2×C4×C137—41no—
580C2×C4×C137—41no—
581C2×C4×C137—41no—
582C2×C4×C137—41no—
583C2×C4×C137—41no—
584C2×C4×C137—41no—
585C2×C4×C137C2×C22⋊C414yes—
586C2×C4×C137C4×D414yescomplemented
587C2×C4×C137#12114yescomplemented
588C22×C137—24no—
589C22×C137—24no—
590C22×C137—24no—
591C22×C137—24no—
592C22×C137—24no—
593C22×C137—24no—
594C22×C137—24no—
595C22×C137—24no—
596C22×C137—24no—
597C22×C137—24no—
598C22×C137—24no—
599C22×C137—24no—
600C22×C137—24no—
601C22×C137—24no—
602C22×C137—24no—
603C22×C137—24no—
604C22×C137—24no—
605C22×C137—42no—
606C22×C137—42no—
607C22×C137—42no—
608C22×C137—42no—
609C22×C137—42no—
610C22×C137—42no—
611C22×C137—42no—
612C22×C137—42no—
613C22×C137—42no—
614C22×C137—42no—
615C22×C137—42no—
616C22×C137—42no—
617C22×C137—42no—
618C22×C137—42no—
619C22×C137—42no—
620C22×C137—42no—
621C22×C137—42no—
622C22×C137—42no—
623C22×C137—42no—
624C22×C137—81no—
625C22×C137—81no—
626C22×C137—81no—
627C22×C137—81no—
628C22×C137—81no—
629C22×C137—81no—
630C22×C137—81no—
631C22×C137—81no—
632C22×C137#38618yescomplemented
633C22×C137C22×C22⋊C411yescharacteristic
634C22×C137C2×C4×D411yescharacteristic
635C22×C137C2×C4×D411yescharacteristic
636C22×C137C2×C4×D411yescharacteristic
637C22×C137C4×#4111yescharacteristic
638C22×C137#51811yescharacteristic
639C22×C137#52011yescharacteristic
640C22×C137C2×#12011yescharacteristic
641C22×C137C2×#12111yescharacteristic
642C22×C137C2×#12111yescharacteristic
643C22×C137C2×#12111yescharacteristic
644C22×C137C2×#12311yescharacteristic
645C22×C137#52511yescharacteristic
646C22×C137#52911yescharacteristic
647C22×C137#53211yescharacteristic
648C22×C137#53411yescharacteristic
649C22×C137#53711yescharacteristic
650C22×C137#53811yescharacteristic
651C22×C137#53911yescharacteristic
652C22×C137D4211yescharacteristic
653C22×C137D4211yescharacteristic
654C22×C137D4211yescharacteristic
655C22×C137#54611yescharacteristic
656C22×C137#54611yescharacteristic
657C22×C137#54611yescharacteristic
658C22×C137#54611yescharacteristic
659C22×C137#54611yescharacteristic
660C22×C137#54611yescharacteristic
661C22×C137#54711yescharacteristic
662C22×C137#54711yescharacteristic
663C22×C137#54711yescharacteristic
664C22×C137#54811yescharacteristic
665C22×C137#55311yescharacteristic
666C22×C137#55311yescharacteristic
667C22×C137#55311yescharacteristic
668C4×C137—24no—
669C4×C137—24no—
670C4×C137—24no—
671C4×C137—42no—
672C4×C137—42no—
673C4×C137—42no—
674C4×C137—42no—
675C4×C137—42no—
676C4×C137—42no—
677C4×C137—42no—
678C4×C137—81no—
679C4×C137—81no—
680C2×C137—28no—
681C2×C137—44no—
682C2×C137—82no—
683C2×C137C2×#38611yescharacteristic
684C2×C137C4×#12111yescharacteristic
685C2×C137#232511yescharacteristic
686C2×C137D4×C22⋊C411yescharacteristic
687C2×C137#233911yescharacteristic
688C2×C137#236111yescharacteristic
689C2×C137#236411yescharacteristic
690C2×C137#241011yescharacteristic
691C2×C137#241611yescharacteristic
692C2×C137#242411yescharacteristic
693C2×C137#242511yescharacteristic
694C2×C137#243011yescharacteristic
695C2×C137#244311yescharacteristic
696C2×C137#244411yescharacteristic
697C2×C137#254311yescharacteristic
698#14023C13711yesmaximal, characteristic, direct product factor, Sylow
699C137#1402311yescharacteristic, direct product factor, Sylow
700C22×#121C2×C13711yescharacteristic
701C22×C4×D4C2×C13711yescharacteristic, complemented
702C2×#386C2×C13711yescharacteristic, complemented
703C2×#386C2×C13711yescharacteristic, complemented
704C2×#386C2×C13711yescharacteristic, complemented
705C2×#386C2×C13711yescharacteristic, complemented
706C22×#95C2×C13711yescharacteristic, complemented
707#1441C2×C13711yescharacteristic, complemented
708#1440C2×C13711yescharacteristic, complemented
709#1439C2×C13711yescharacteristic, complemented
710#1438C2×C13711yescharacteristic, complemented
711#1437C2×C13711yescharacteristic, complemented
712#1436C2×C13711yescharacteristic, complemented
713C22⋊#95C2×C13711yescharacteristic, complemented
714C22⋊#95C2×C13711yescharacteristic, complemented
715C23×D4C22×C13711yescharacteristic
716C23×D4C22×C13711yescharacteristic
717C23×D4C22×C13711yescharacteristic
718C24×C4C22×C13711yescharacteristic
719C24×C4C22×C13711yescharacteristic
720C24×C4C22×C13711yescharacteristic
721C24×C4C22×C13711yescharacteristic
722C2×#121—24no—
723C2×#121—24no—
724C2×#121C4×C13718yescomplemented
725C2×C4×D4—24no—
726C2×C4×D4—24no—
727C2×C4×D4—24no—
728C22×C4⋊C4C22×C13711yescharacteristic
729C22×C4⋊C4C22×C13711yescharacteristic
730C22×C22⋊C4C22×C13711yescharacteristic
731C22×C22⋊C4C22×C13711yescharacteristic
732C22×C22⋊C4C22×C13711yescharacteristic
733C22×C22⋊C4C22×C13711yescharacteristic
734C22×C22⋊C4C22×C13711yescharacteristic
735C22×C22⋊C4C22×C13711yescharacteristic
736C22×C22⋊C4C22×C13711yescharacteristic
737C22×C22⋊C4C22×C13711yescharacteristic
738C22×C22⋊C4C22×C13711yescharacteristic
739C22×C22⋊C4C22×C13711yescharacteristic
740C22×C22⋊C4C22×C13711yescharacteristic
741C22×C42C22×C13711yescharacteristic
742#386—24no—
743#386—24no—
744#386—24no—
745#386—24no—
746C2×#95—24no—
747C2×#95C22×C13711yescharacteristic
748C2×#95C22×C13711yescharacteristic
749C2×#95C22×C13711yescharacteristic
750C2×#95C22×C13711yescharacteristic
751C2×#95C22×C13711yescharacteristic
752C2×#95C22×C13711yescharacteristic
753C2×#95C22×C13711yescharacteristic
754C2×#95C22×C13711yescharacteristic
755C2×#95C22×C13711yescharacteristic
756C2×#95C22×C13711yescharacteristic
757C2×#95C22×C13711yescharacteristic
758C2×#95C22×C13711yescharacteristic
759C2×#95C22×C13711yescharacteristic
760C2×#95C22×C13711yescharacteristic
761C25C23×C13711yescharacteristic
762C25C23×C13711yescharacteristic
763C25C23×C13711yescharacteristic
764C22×D4—22no—
765C22×D4—22no—
766C22×D4—22no—
767C22×D4—22no—
768C22×D4—22no—
769C22×D4—22no—
770C22×D4—22no—
771C22×D4—22no—
772C22×D4—22no—
773C22×D4—22no—
774C22×D4—22no—
775C22×D4—22no—
776C22×D4—22no—
777C22×D4—22no—
778C22×D4—41no—
779C22×D4—41no—
780C22×D4C2×C4×C13714yes—
781C22×D4C2×C4×C13714yescomplemented
782C22×D4C2×C4×C13714yescomplemented
783C22×D4D4×C13714yes—
784C22×D4D4×C13714yes—
785C23×C4—22no—
786C23×C4—22no—
787C23×C4—22no—
788C23×C4—22no—
789C23×C4—22no—
790C23×C4—22no—
791C23×C4—22no—
792C23×C4—22no—
793C23×C4—22no—
794C23×C4—22no—
795C23×C4—22no—
796C23×C4—22no—
797C23×C4—22no—
798C23×C4—22no—
799C23×C4—22no—
800C23×C4—22no—
801C23×C4—22no—
802C23×C4—22no—
803C23×C4—41no—
804C23×C4—41no—
805C23×C4—41no—
806C23×C4—41no—
807C23×C4—41no—
808C23×C4—41no—
809C23×C4—41no—
810C23×C4—41no—
811C23×C4C2×C4×C13714yescomplemented
812C23×C4D4×C13714yescomplemented
813C23×C4C23×C13711yescharacteristic
814C23×C4C23×C13711yescharacteristic
815C23×C4C23×C13711yescharacteristic
816C23×C4C23×C13711yescharacteristic
817C23×C4C23×C13711yescharacteristic
818C23×C4C23×C13711yescharacteristic
819C23×C4C23×C13711yescharacteristic
820C23×C4C23×C13711yescharacteristic
821C23×C4C23×C13711yescharacteristic
822C23×C4C23×C13711yescharacteristic
823C23×C4C23×C13711yescharacteristic
824C23×C4C23×C13711yescharacteristic
825#121—232no—
826C4×D4—232no—
827C2×C4⋊C4—22no—
828C2×C4⋊C4—22no—
829C2×C4⋊C4—22no—
830C2×C4⋊C4—22no—
831C2×C4⋊C4—22no—
832C2×C4⋊C4C2×C4×C13714yescomplemented
833C2×C22⋊C4—22no—
834C2×C22⋊C4—22no—
835C2×C22⋊C4—22no—
836C2×C22⋊C4—22no—
837C2×C22⋊C4—22no—
838C2×C22⋊C4—22no—
839C2×C22⋊C4—22no—
840C2×C22⋊C4—22no—
841C2×C22⋊C4—22no—
842C2×C22⋊C4—22no—
843C2×C22⋊C4—22no—
844C2×C22⋊C4—22no—
845C2×C22⋊C4—22no—
846C2×C22⋊C4—22no—
847C2×C22⋊C4—22no—
848C2×C22⋊C4—22no—
849C2×C22⋊C4—22no—
850C2×C22⋊C4—22no—
851C2×C22⋊C4—22no—
852C2×C22⋊C4—22no—
853C2×C22⋊C4—22no—
854C2×C22⋊C4—22no—
855C2×C22⋊C4—22no—
856C2×C22⋊C4—22no—
857C2×C22⋊C4—41no—
858C2×C22⋊C4—41no—
859C2×C22⋊C4—41no—
860C2×C22⋊C4—41no—
861C2×C22⋊C4—41no—
862C2×C22⋊C4—41no—
863C2×C22⋊C4C2×C4×C13714yescomplemented
864C2×C22⋊C4C2×C4×C13714yescomplemented
865C2×C22⋊C4D4×C13714yescomplemented
866C2×C42—22no—
867C2×C42—22no—
868C2×C42—22no—
869#95—22no—
870#95—22no—
871#95—22no—
872#95—22no—
873#95—22no—
874#95—22no—
875#95—22no—
876#95—22no—
877#95—22no—
878#95—22no—
879#95—22no—
880#95—41no—
881#95—41no—
882#95D4×C13714yescomplemented
883C24—21no—
884C24—21no—
885C24—21no—
886C24—21no—
887C24—21no—
888C24—21no—
889C24—21no—
890C24—21no—
891C24—21no—
892C24—21no—
893C24—21no—
894C24—21no—
895C24—21no—
896C24—21no—
897C24—21no—
898C24—21no—
899C24—21no—
900C24—21no—
901C24—21no—
902C24—21no—
903C24—21no—
904C24—21no—
905C24—21no—
906C24—21no—
907C24—21no—
908C24—21no—
909C24—21no—
910C24—21no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—21no—
915C24—21no—
916C24—21no—
917C24C22×C4×C13712yes—
918C24C22×C4×C13712yes—
919C24C22×C4×C13712yes—
920C24C2×D4×C13712yes—
921C24C2×D4×C13712yes—
922C24C2×D4×C13712yes—
923C24C2×D4×C13712yes—
924C24C2×D4×C13712yes—
925C24C2×D4×C13712yes—
926C24#41×C13712yes—
927C24#41×C13712yes—
928C24C24×C13711yescharacteristic
929C2×D4—28no—
930C2×D4—28no—
931C2×D4—28no—
932C2×D4—28no—
933C2×D4—28no—
934C2×D4—28no—
935C2×D4—28no—
936C2×D4—28no—
937C2×D4—28no—
938C2×D4—28no—
939C2×D4—28no—
940C2×D4—44no—
941C2×D4—44no—
942C2×D4—44no—
943C2×D4—44no—
944C2×D4—44no—
945C2×D4—44no—
946C2×D4—44no—
947C2×D4—44no—
948C2×D4—44no—
949C2×D4C22⋊C4×C137116yescomplemented
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—28no—
963C22×C4—28no—
964C22×C4—28no—
965C22×C4—28no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—28no—
1009C22×C4—28no—
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—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—44no—
1025C22×C4—44no—
1026C22×C4—44no—
1027C22×C4—44no—
1028C22×C4—44no—
1029C22×C4—44no—
1030C22×C4—44no—
1031C22×C4—44no—
1032C22×C4—44no—
1033C22×C4—44no—
1034C22×C4—44no—
1035C22×C4—44no—
1036C22×C4—44no—
1037C22×C4—44no—
1038C22×C4—44no—
1039C22×C4—44no—
1040C22×C4—44no—
1041C22×C4—44no—
1042C22×C4—44no—
1043C22×C4—44no—
1044C22×C4—44no—
1045C22×C4—44no—
1046C22×C4C22×C4×C13712yes—
1047C22×C4C22×C4×C13712yes—
1048C22×C4C22×C4×C13712yes—
1049C22×C4C22×C4×C13712yes—
1050C22×C4C2×D4×C13712yes—
1051C22×C4C2×D4×C13712yes—
1052C22×C4C2×D4×C13712yes—
1053C22×C4C2×D4×C13712yes—
1054C22×C4C2×D4×C13712yes—
1055C22×C4C2×D4×C13712yes—
1056C22×C4C2×D4×C13712yes—
1057C22×C4C2×D4×C13712yes—
1058C22×C4C2×D4×C13712yes—
1059C22×C4#41×C13712yes—
1060C22×C4#41×C13712yes—
1061C22×C4#41×C13712yes—
1062C4⋊C4—28no—
1063C4⋊C4—28no—
1064C22⋊C4—28no—
1065C22⋊C4—28no—
1066C22⋊C4—28no—
1067C22⋊C4—28no—
1068C22⋊C4—44no—
1069C22⋊C4—44no—
1070C22⋊C4—44no—
1071C22⋊C4—44no—
1072C22⋊C4—44no—
1073C22⋊C4—44no—
1074C22⋊C4—44no—
1075C42—28no—
1076C23—22no—
1077C23—22no—
1078C23—22no—
1079C23—22no—
1080C23—22no—
1081C23—22no—
1082C23—22no—
1083C23—22no—
1084C23—22no—
1085C23—22no—
1086C23—22no—
1087C23—22no—
1088C23—22no—
1089C23—22no—
1090C23—22no—
1091C23—22no—
1092C23—22no—
1093C23—22no—
1094C23—22no—
1095C23—22no—
1096C23—22no—
1097C23—22no—
1098C23—22no—
1099C23—22no—
1100C23—22no—
1101C23—22no—
1102C23—22no—
1103C23—22no—
1104C23—22no—
1105C23—22no—
1106C23—22no—
1107C23—22no—
1108C23—22no—
1109C23—22no—
1110C23—22no—
1111C23—22no—
1112C23—22no—
1113C23—22no—
1114C23—22no—
1115C23—22no—
1116C23—22no—
1117C23—22no—
1118C23—22no—
1119C23—22no—
1120C23—22no—
1121C23—22no—
1122C23—22no—
1123C23—22no—
1124C23—22no—
1125C23—22no—
1126C23—22no—
1127C23—22no—
1128C23—22no—
1129C23—41no—
1130C23—41no—
1131C23—41no—
1132C23—41no—
1133C23—41no—
1134C23—41no—
1135C23—41no—
1136C23—41no—
1137C23—41no—
1138C23—41no—
1139C23—41no—
1140C23—41no—
1141C23—41no—
1142C23—41no—
1143C23—41no—
1144C23—41no—
1145C23—41no—
1146C23—41no—
1147C23—41no—
1148C23—41no—
1149C23—41no—
1150C23—41no—
1151C23—41no—
1152C23—41no—
1153C23—41no—
1154C23—41no—
1155C23—41no—
1156C23—41no—
1157C23—41no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—41no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23C2×C22⋊C4×C13714yes—
1174C23C2×C22⋊C4×C13714yes—
1175C23C4×D4×C13714yes—
1176C23C4×D4×C13714yes—
1177C23#120×C13714yes—
1178C23#121×C13714yes—
1179C23#121×C13714yes—
1180C23#123×C13714yes—
1181C23C23×C4×C13711yescharacteristic
1182C23C22×D4×C13711yescharacteristic
1183C23C22×D4×C13711yescharacteristic
1184C23C22×D4×C13711yescharacteristic
1185C23C22×D4×C13711yescharacteristic
1186C23C22×D4×C13711yescharacteristic
1187C23C2×#41×C13711yescharacteristic
1188C23C2×#41×C13711yescharacteristic
1189C23C2×#41×C13711yescharacteristic
1190C23C2×#41×C13711yescharacteristic
1191C23C2×#41×C13711yescharacteristic
1192C23H(5,𝔽2)×C13711yescharacteristic
1193C23H(5,𝔽2)×C13711yescharacteristic
1194C23H(5,𝔽2)×C13711yescharacteristic
1195C232−1+4×C13711yescharacteristic
1196D4—232no—
1197D4—416no—
1198D4—416no—
1199C2×C4—22no—
1200C2×C4—22no—
1201C2×C4—22no—
1202C2×C4—22no—
1203C2×C4—22no—
1204C2×C4—22no—
1205C2×C4—22no—
1206C2×C4—22no—
1207C2×C4—22no—
1208C2×C4—22no—
1209C2×C4—22no—
1210C2×C4—22no—
1211C2×C4—22no—
1212C2×C4—22no—
1213C2×C4—22no—
1214C2×C4—22no—
1215C2×C4—22no—
1216C2×C4—22no—
1217C2×C4—22no—
1218C2×C4—22no—
1219C2×C4—22no—
1220C2×C4—22no—
1221C2×C4—22no—
1222C2×C4—22no—
1223C2×C4—22no—
1224C2×C4—22no—
1225C2×C4—22no—
1226C2×C4—22no—
1227C2×C4—22no—
1228C2×C4—22no—
1229C2×C4—22no—
1230C2×C4—22no—
1231C2×C4—22no—
1232C2×C4—22no—
1233C2×C4—22no—
1234C2×C4—22no—
1235C2×C4—22no—
1236C2×C4—22no—
1237C2×C4—22no—
1238C2×C4—416no—
1239C2×C4—416no—
1240C2×C4—416no—
1241C2×C4—416no—
1242C2×C4—41no—
1243C2×C4—41no—
1244C2×C4—41no—
1245C2×C4—41no—
1246C2×C4—41no—
1247C2×C4—41no—
1248C2×C4—41no—
1249C2×C4—41no—
1250C2×C4—41no—
1251C2×C4—41no—
1252C2×C4—41no—
1253C2×C4—41no—
1254C2×C4—41no—
1255C2×C4—41no—
1256C2×C4—41no—
1257C2×C4—41no—
1258C2×C4—41no—
1259C2×C4—41no—
1260C2×C4—41no—
1261C2×C4—41no—
1262C2×C4—41no—
1263C2×C4—41no—
1264C2×C4—41no—
1265C2×C4—41no—
1266C2×C4—41no—
1267C2×C4—41no—
1268C2×C4—41no—
1269C2×C4—41no—
1270C2×C4—41no—
1271C2×C4—41no—
1272C2×C4—41no—
1273C2×C4—41no—
1274C2×C4—41no—
1275C2×C4—41no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—41no—
1280C2×C4—41no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—41no—
1284C2×C4C2×C22⋊C4×C13714yes—
1285C2×C4C4×D4×C13714yescomplemented
1286C2×C4#121×C13714yescomplemented
1287C22—24no—
1288C22—24no—
1289C22—24no—
1290C22—24no—
1291C22—24no—
1292C22—24no—
1293C22—24no—
1294C22—24no—
1295C22—24no—
1296C22—24no—
1297C22—24no—
1298C22—24no—
1299C22—24no—
1300C22—24no—
1301C22—24no—
1302C22—24no—
1303C22—24no—
1304C22—42no—
1305C22—42no—
1306C22—42no—
1307C22—42no—
1308C22—42no—
1309C22—42no—
1310C22—42no—
1311C22—42no—
1312C22—42no—
1313C22—42no—
1314C22—42no—
1315C22—42no—
1316C22—42no—
1317C22—42no—
1318C22—42no—
1319C22—42no—
1320C22—42no—
1321C22—42no—
1322C22—42no—
1323C22—81no—
1324C22—81no—
1325C22—81no—
1326C22—81no—
1327C22—81no—
1328C22—81no—
1329C22—81no—
1330C22—81no—
1331C22#386×C13718yescomplemented
1332C22C22×C22⋊C4×C13711yescharacteristic
1333C22C2×C4×D4×C13711yescharacteristic
1334C22C2×C4×D4×C13711yescharacteristic
1335C22C2×C4×D4×C13711yescharacteristic
1336C22C4×#41×C13711yescharacteristic
1337C22#518×C13711yescharacteristic
1338C22#520×C13711yescharacteristic
1339C22C2×#120×C13711yescharacteristic
1340C22C2×#121×C13711yescharacteristic
1341C22C2×#121×C13711yescharacteristic
1342C22C2×#121×C13711yescharacteristic
1343C22C2×#123×C13711yescharacteristic
1344C22#525×C13711yescharacteristic
1345C22#529×C13711yescharacteristic
1346C22#532×C13711yescharacteristic
1347C22#534×C13711yescharacteristic
1348C22#537×C13711yescharacteristic
1349C22#538×C13711yescharacteristic
1350C22#539×C13711yescharacteristic
1351C22D42×C13711yescharacteristic
1352C22D42×C13711yescharacteristic
1353C22D42×C13711yescharacteristic
1354C22#546×C13711yescharacteristic
1355C22#546×C13711yescharacteristic
1356C22#546×C13711yescharacteristic
1357C22#546×C13711yescharacteristic
1358C22#546×C13711yescharacteristic
1359C22#546×C13711yescharacteristic
1360C22#547×C13711yescharacteristic
1361C22#547×C13711yescharacteristic
1362C22#547×C13711yescharacteristic
1363C22#548×C13711yescharacteristic
1364C22#553×C13711yescharacteristic
1365C22#553×C13711yescharacteristic
1366C22#553×C13711yescharacteristic
1367C4—24no—
1368C4—24no—
1369C4—24no—
1370C4—42no—
1371C4—42no—
1372C4—42no—
1373C4—42no—
1374C4—42no—
1375C4—42no—
1376C4—42no—
1377C4—81no—
1378C4—81no—
1379C2—28no—
1380C2—44no—
1381C2—82no—
1382C2C2×#386×C13711yescharacteristic
1383C2C4×#121×C13711yescharacteristic
1384C2#2325×C13711yescharacteristic
1385C2D4×C22⋊C4×C13711yescharacteristic
1386C2#2339×C13711yescharacteristic
1387C2#2361×C13711yescharacteristic
1388C2#2364×C13711yescharacteristic
1389C2#2410×C13711yescharacteristic
1390C2#2416×C13711yescharacteristic
1391C2#2424×C13711yescharacteristic
1392C2#2425×C13711yescharacteristic
1393C2#2430×C13711yescharacteristic
1394C2#2443×C13711yescharacteristic
1395C2#2444×C13711yescharacteristic
1396C2#2543×C13711yescharacteristic
subgroupG/H
center, socleC24×C137C24
commutatorC23C23×C4×C137
Frattini, cosocleC24C24×C137
prime radicalC22×#121×C137C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C137 ◁ G

Complements

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

NH ≅ G/Ntype
2. C22×C4×D4×C137C2semidirect
3. C2×#386×C137C2semidirect
4. C2×#386×C137C2semidirect
5. C2×#386×C137C2semidirect
6. C2×#386×C137C2semidirect
7. C22×#95×C137C2semidirect
8. #1441×C137C2semidirect
9. #1440×C137C2semidirect
10. #1439×C137C2semidirect
11. #1438×C137C2semidirect
12. #1437×C137C2semidirect
13. #1436×C137C2semidirect
14. C22⋊#95×C137C2semidirect
15. C22⋊#95×C137C2semidirect
25. C2×#121×C137C4semidirect
82. C22×D4×C137C2×C4semidirect
83. C22×D4×C137C2×C4semidirect
112. C23×C4×C137C2×C4semidirect
113. C23×C4×C137D4semidirect
133. C2×C4⋊C4×C137C2×C4semidirect
164. C2×C22⋊C4×C137C2×C4semidirect
165. C2×C22⋊C4×C137C2×C4semidirect
166. C2×C22⋊C4×C137D4semidirect
183. #95×C137D4semidirect
250. C2×D4×C137C22⋊C4semidirect
586. C2×C4×C137C4×D4semidirect
587. C2×C4×C137#121semidirect
632. C22×C137#386semidirect
698. #14023C137direct (N × H)
699. C137#14023direct (N × H)
701. C22×C4×D4C2×C137semidirect
702. C2×#386C2×C137semidirect
703. C2×#386C2×C137semidirect
704. C2×#386C2×C137semidirect
705. C2×#386C2×C137semidirect
706. C22×#95C2×C137semidirect
707. #1441C2×C137semidirect
708. #1440C2×C137semidirect
709. #1439C2×C137semidirect
710. #1438C2×C137semidirect
711. #1437C2×C137semidirect
712. #1436C2×C137semidirect
713. C22⋊#95C2×C137semidirect
714. C22⋊#95C2×C137semidirect
724. C2×#121C4×C137semidirect
781. C22×D4C2×C4×C137semidirect
782. C22×D4C2×C4×C137semidirect
811. C23×C4C2×C4×C137semidirect
812. C23×C4D4×C137semidirect
832. C2×C4⋊C4C2×C4×C137semidirect
863. C2×C22⋊C4C2×C4×C137semidirect
864. C2×C22⋊C4C2×C4×C137semidirect
865. C2×C22⋊C4D4×C137semidirect
882. #95D4×C137semidirect
949. C2×D4C22⋊C4×C137semidirect
1285. C2×C4C4×D4×C137semidirect
1286. C2×C4#121×C137semidirect
1331. C22#386×C137semidirect

Maximal subgroups

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

subgroupindex
C22×#121×C1372
C22×C4×D4×C1372
C2×#386×C1372
C22×#95×C1372
#1441×C1372
#1440×C1372
#1439×C1372
#1438×C1372
#1437×C1372
#1436×C1372
C22⋊#95×C1372
#14023137