Finite Group Databasebeta

← C137×#16291 #46865677

Subgroups — C137×#16291 #46865677

Order 35072.

2478 conjugacy classes of subgroups.

The subgroup lattice has 1492 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#394×C137C211yesmaximal, characteristic, complemented
2C2×#394×C137C211yesmaximal, characteristic, complemented
3C2×#392×C137C211yesmaximal, characteristic, complemented
4C2×#392×C137C211yesmaximal, characteristic, complemented
5C2×#392×C137C211yesmaximal, characteristic, complemented
6C2×#392×C137C211yesmaximal, characteristic, complemented
7C2×#390×C137C211yesmaximal, characteristic, complemented
8C2×#388×C137C211yesmaximal, characteristic, complemented
9#1442×C137C211yesmaximal, characteristic, complemented
10#1440×C137C211yesmaximal, characteristic, complemented
11#1439×C137C211yesmaximal, characteristic, complemented
12#1438×C137C211yesmaximal, characteristic, complemented
13#1438×C137C211yesmaximal, characteristic, complemented
14#1438×C137C211yesmaximal, characteristic, complemented
15#1437×C137C211yesmaximal, characteristic, complemented
16C23×D4×C137C2211yescharacteristic
17C23×D4×C137C2211yescharacteristic
18C23×D4×C137C2211yescharacteristic
19C23×D4×C137C2211yescharacteristic
20C23×D4×C137C2211yescharacteristic
21C23×D4×C137C2211yescharacteristic
22C22×C4⋊C4×C137C2211yescharacteristic
23C22×C4⋊C4×C137C2211yescharacteristic
24C22×C22⋊C4×C137C2211yescharacteristic
25C22×C22⋊C4×C137C2211yescharacteristic
26C22×C22⋊C4×C137C2211yescharacteristic
27C22×C22⋊C4×C137C2211yescharacteristic
28C22×C22⋊C4×C137C2211yescharacteristic
29C22×C22⋊C4×C137C2211yescharacteristic
30C22×C22⋊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×C42×C137C2211yescharacteristic
41#394×C137—24no—
42#394×C137—24no—
43#392×C137—24no—
44#392×C137—24no—
45#392×C137—24no—
46#392×C137—24no—
47#390×C137—24no—
48#388×C137—24no—
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
59C25×C137C2311yescharacteristic
60C25×C137C2311yescharacteristic
61C25×C137C2311yescharacteristic
62C25×C137C2311yescharacteristic
63C22×D4×C137—22no—
64C22×D4×C137—22no—
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—22no—
80C22×D4×C137—22no—
81C22×D4×C137—22no—
82C22×D4×C137—22no—
83C22×D4×C137—41no—
84C22×D4×C137—41no—
85C22×D4×C137—41no—
86C22×D4×C137—41no—
87C22×D4×C137—41no—
88C22×D4×C137—41no—
89C22×D4×C137—41no—
90C22×D4×C137—41no—
91C22×D4×C137—41no—
92C22×D4×C137—41no—
93C22×D4×C137—41no—
94C22×D4×C137—41no—
95C22×D4×C137—41no—
96C22×D4×C137—41no—
97C22×D4×C137—41no—
98C22×D4×C137—41no—
99C22×D4×C137—41no—
100C22×D4×C137—41no—
101C22×D4×C137—41no—
102C22×D4×C137—41no—
103C22×D4×C137—41no—
104C22×D4×C137—41no—
105C23×C4×C137C2311yescharacteristic
106C23×C4×C137C2311yescharacteristic
107C23×C4×C137C2311yescharacteristic
108C23×C4×C137C2311yescharacteristic
109C23×C4×C137C2311yescharacteristic
110C23×C4×C137C2311yescharacteristic
111C23×C4×C137C2311yescharacteristic
112C23×C4×C137C2311yescharacteristic
113C23×C4×C137C2311yescharacteristic
114C23×C4×C137C2311yescharacteristic
115C23×C4×C137C2311yescharacteristic
116C2×C4⋊C4×C137—22no—
117C2×C4⋊C4×C137—22no—
118C2×C4⋊C4×C137—22no—
119C2×C4⋊C4×C137—22no—
120C2×C4⋊C4×C137—41no—
121C2×C4⋊C4×C137—41no—
122C2×C22⋊C4×C137—22no—
123C2×C22⋊C4×C137—22no—
124C2×C22⋊C4×C137—22no—
125C2×C22⋊C4×C137—22no—
126C2×C22⋊C4×C137—22no—
127C2×C22⋊C4×C137—22no—
128C2×C22⋊C4×C137—22no—
129C2×C22⋊C4×C137—22no—
130C2×C22⋊C4×C137—22no—
131C2×C22⋊C4×C137—22no—
132C2×C22⋊C4×C137—22no—
133C2×C22⋊C4×C137—22no—
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—41no—
148C2×C22⋊C4×C137—41no—
149C2×C22⋊C4×C137—41no—
150C2×C22⋊C4×C137—41no—
151C2×C22⋊C4×C137—41no—
152C2×C22⋊C4×C137—41no—
153C2×C22⋊C4×C137—41no—
154C2×C22⋊C4×C137—41no—
155C2×C22⋊C4×C137—41no—
156C2×C22⋊C4×C137—41no—
157C2×C22⋊C4×C137—41no—
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×C137—41no—
165C2×C22⋊C4×C137—41no—
166C2×C22⋊C4×C137—41no—
167C2×C22⋊C4×C137D414yescomplemented
168C2×C22⋊C4×C137D414yescomplemented
169C2×C22⋊C4×C137D414yescomplemented
170C2×C42×C137—22no—
171C2×C42×C137—22no—
172C2×C42×C137—41no—
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—41no—
180#95×C137—41no—
181#95×C137—41no—
182#95×C137D414yescomplemented
183C24×C137—21no—
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×C137—21no—
219C24×C137—21no—
220C24×C137—21no—
221C24×C137—21no—
222C24×C137—21no—
223C24×C137—21no—
224C24×C137—21no—
225C24×C137—21no—
226C24×C137—21no—
227C24×C137—21no—
228C24×C137—21no—
229C24×C137—21no—
230C24×C137—21no—
231C24×C137—21no—
232C24×C137—21no—
233C24×C137—21no—
234C24×C137—21no—
235C24×C137—21no—
236C24×C137—21no—
237C24×C137—21no—
238C24×C137—21no—
239C24×C137C2×D412yes—
240C24×C137C2×D412yes—
241C24×C137C2×D412yes—
242C24×C137#4112yes—
243C24×C137C2411yescharacteristic
244C2×D4×C137—28no—
245C2×D4×C137—44no—
246C2×D4×C137—44no—
247C2×D4×C137—44no—
248C2×D4×C137—44no—
249C2×D4×C137—44no—
250C2×D4×C137—44no—
251C2×D4×C137—44no—
252C2×D4×C137—44no—
253C2×D4×C137—44no—
254C2×D4×C137—44no—
255C2×D4×C137—44no—
256C2×D4×C137—44no—
257C2×D4×C137—44no—
258C2×D4×C137—44no—
259C2×D4×C137—44no—
260C2×D4×C137—44no—
261C2×D4×C137—44no—
262C2×D4×C137—44no—
263C2×D4×C137—44no—
264C2×D4×C137—44no—
265C2×D4×C137—44no—
266C2×D4×C137—44no—
267C2×D4×C137—44no—
268C2×D4×C137—44no—
269C2×D4×C137—44no—
270C2×D4×C137—44no—
271C2×D4×C137—44no—
272C2×D4×C137—44no—
273C2×D4×C137—44no—
274C2×D4×C137—44no—
275C2×D4×C137—44no—
276C2×D4×C137—44no—
277C2×D4×C137—44no—
278C2×D4×C137—44no—
279C2×D4×C137—44no—
280C2×D4×C137—44no—
281C2×D4×C137—44no—
282C2×D4×C137—44no—
283C2×D4×C137—44no—
284C2×D4×C137—44no—
285C2×D4×C137—44no—
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—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—21no—
333C22×C4×C137—21no—
334C22×C4×C137—21no—
335C22×C4×C137—21no—
336C22×C4×C137—21no—
337C22×C4×C137—21no—
338C22×C4×C137—21no—
339C22×C4×C137—21no—
340C22×C4×C137—21no—
341C22×C4×C137—21no—
342C22×C4×C137—21no—
343C22×C4×C137—21no—
344C22×C4×C137—21no—
345C22×C4×C137—21no—
346C22×C4×C137—21no—
347C22×C4×C137—21no—
348C22×C4×C137—21no—
349C22×C4×C137—21no—
350C22×C4×C137—21no—
351C22×C4×C137—21no—
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×C137C2×D412yes—
361C22×C4×C137#4112yes—
362C22×C4×C137#4112yes—
363C4⋊C4×C137—44no—
364C4⋊C4×C137—44no—
365C22⋊C4×C137—28no—
366C22⋊C4×C137—44no—
367C22⋊C4×C137—44no—
368C22⋊C4×C137—44no—
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—
376C22⋊C4×C137—44no—
377C22⋊C4×C137—44no—
378C22⋊C4×C137—44no—
379C22⋊C4×C137—44no—
380C22⋊C4×C137—44no—
381C42×C137—44no—
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—41no—
411C23×C137—41no—
412C23×C137—41no—
413C23×C137—41no—
414C23×C137—41no—
415C23×C137—41no—
416C23×C137—41no—
417C23×C137—41no—
418C23×C137—41no—
419C23×C137—41no—
420C23×C137—41no—
421C23×C137—41no—
422C23×C137—41no—
423C23×C137—41no—
424C23×C137—41no—
425C23×C137—41no—
426C23×C137—41no—
427C23×C137—41no—
428C23×C137—41no—
429C23×C137—41no—
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×C137—41no—
475C23×C137—41no—
476C23×C137—41no—
477C23×C137—41no—
478C23×C137—41no—
479C23×C137—41no—
480C23×C137—41no—
481C23×C137—41no—
482C23×C137—41no—
483C23×C137—41no—
484C23×C137—41no—
485C23×C137—41no—
486C23×C137—41no—
487C23×C137—41no—
488C23×C137—41no—
489C23×C137—41no—
490C23×C137—41no—
491C23×C137—41no—
492C23×C137—41no—
493C23×C137—41no—
494C23×C137—41no—
495C23×C137—41no—
496C23×C137—41no—
497C23×C137—41no—
498C23×C137—41no—
499C23×C137—41no—
500C23×C137—41no—
501C23×C137—41no—
502C23×C137—41no—
503C23×C137—41no—
504C23×C137—41no—
505C23×C137—41no—
506C23×C137—41no—
507C23×C137—41no—
508C23×C137—41no—
509C23×C137—41no—
510C23×C137—41no—
511C23×C137—41no—
512C23×C137—41no—
513C23×C137—41no—
514C23×C137—41no—
515C23×C137—41no—
516C23×C137—41no—
517C23×C137—41no—
518C23×C137—41no—
519C23×C137—41no—
520C23×C137—41no—
521C23×C137—41no—
522C23×C137C22×D411yescharacteristic
523C23×C137C22×D411yescharacteristic
524C23×C137C22×D411yescharacteristic
525C23×C137C22×D411yescharacteristic
526C23×C137C2×#4111yescharacteristic
527C23×C137C2×#4111yescharacteristic
528C23×C137C2×#4111yescharacteristic
529C23×C137H(5,𝔽2)11yescharacteristic
530C23×C137H(5,𝔽2)11yescharacteristic
531C23×C137H(5,𝔽2)11yescharacteristic
532C23×C137H(5,𝔽2)11yescharacteristic
533C23×C137H(5,𝔽2)11yescharacteristic
534C23×C137H(5,𝔽2)11yescharacteristic
535C23×C137H(5,𝔽2)11yescharacteristic
536C23×C137H(5,𝔽2)11yescharacteristic
537D4×C137—416no—
538D4×C137—416no—
539D4×C137—416no—
540D4×C137—416no—
541D4×C137—416no—
542D4×C137—416no—
543C2×C4×C137—22no—
544C2×C4×C137—22no—
545C2×C4×C137—22no—
546C2×C4×C137—22no—
547C2×C4×C137—22no—
548C2×C4×C137—22no—
549C2×C4×C137—22no—
550C2×C4×C137—22no—
551C2×C4×C137—22no—
552C2×C4×C137—22no—
553C2×C4×C137—22no—
554C2×C4×C137—22no—
555C2×C4×C137—22no—
556C2×C4×C137—22no—
557C2×C4×C137—22no—
558C2×C4×C137—22no—
559C2×C4×C137—22no—
560C2×C4×C137—22no—
561C2×C4×C137—22no—
562C2×C4×C137—22no—
563C2×C4×C137—22no—
564C2×C4×C137—22no—
565C2×C4×C137—22no—
566C2×C4×C137—22no—
567C2×C4×C137—22no—
568C2×C4×C137—22no—
569C2×C4×C137—22no—
570C2×C4×C137—22no—
571C2×C4×C137—22no—
572C2×C4×C137—22no—
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×C137—41no—
586C2×C4×C137—41no—
587C2×C4×C137—41no—
588C2×C4×C137—41no—
589C2×C4×C137—41no—
590C2×C4×C137—41no—
591C2×C4×C137—41no—
592C2×C4×C137—41no—
593C2×C4×C137—41no—
594C2×C4×C137—41no—
595C2×C4×C137—41no—
596C2×C4×C137—41no—
597C2×C4×C137—41no—
598C2×C4×C137—41no—
599C2×C4×C137—41no—
600C2×C4×C137—41no—
601C2×C4×C137—41no—
602C2×C4×C137—41no—
603C2×C4×C137—41no—
604C2×C4×C137—41no—
605C2×C4×C137—41no—
606C2×C4×C137—41no—
607C2×C4×C137—41no—
608C2×C4×C137—41no—
609C2×C4×C137—41no—
610C2×C4×C137—41no—
611C2×C4×C137—41no—
612C2×C4×C137—41no—
613C2×C4×C137—41no—
614C2×C4×C137—41no—
615C2×C4×C137—41no—
616C2×C4×C137—41no—
617C2×C4×C137—41no—
618C2×C4×C137—41no—
619C2×C4×C137#12114yes—
620C22×C137—42no—
621C22×C137—42no—
622C22×C137—42no—
623C22×C137—42no—
624C22×C137—42no—
625C22×C137—42no—
626C22×C137—42no—
627C22×C137—42no—
628C22×C137—42no—
629C22×C137—42no—
630C22×C137—42no—
631C22×C137—42no—
632C22×C137—42no—
633C22×C137—42no—
634C22×C137—42no—
635C22×C137—42no—
636C22×C137—42no—
637C22×C137—42no—
638C22×C137—42no—
639C22×C137—42no—
640C22×C137—42no—
641C22×C137—42no—
642C22×C137—42no—
643C22×C137—42no—
644C22×C137—42no—
645C22×C137—42no—
646C22×C137—42no—
647C22×C137—42no—
648C22×C137—81no—
649C22×C137—81no—
650C22×C137—81no—
651C22×C137—81no—
652C22×C137—81no—
653C22×C137—81no—
654C22×C137—81no—
655C22×C137—81no—
656C22×C137—81no—
657C22×C137—81no—
658C22×C137—81no—
659C22×C137—81no—
660C22×C137—81no—
661C22×C137—81no—
662C22×C137—81no—
663C22×C137—81no—
664C22×C137—81no—
665C22×C137—81no—
666C22×C137—81no—
667C22×C137—81no—
668C22×C137—81no—
669C22×C137—81no—
670C22×C137—81no—
671C22×C137—81no—
672C22×C137—81no—
673C22×C137—81no—
674C22×C137—81no—
675C22×C137—81no—
676C22×C137—81no—
677C22×C137—81no—
678C22×C137—81no—
679C22×C137—81no—
680C22×C137C2×#12111yescharacteristic
681C22×C137#52511yescharacteristic
682C22×C137#53211yescharacteristic
683C22×C137#53411yescharacteristic
684C22×C137#53411yescharacteristic
685C22×C137#53511yescharacteristic
686C22×C137#53511yescharacteristic
687C22×C137#53511yescharacteristic
688C22×C137#53511yescharacteristic
689C22×C137#53511yescharacteristic
690C22×C137#53511yescharacteristic
691C22×C137#53811yescharacteristic
692C22×C137#53811yescharacteristic
693C22×C137#53811yescharacteristic
694C22×C137#53811yescharacteristic
695C22×C137#54011yescharacteristic
696C22×C137#54011yescharacteristic
697C22×C137#54011yescharacteristic
698C22×C137#54011yescharacteristic
699C22×C137D4211yescharacteristic
700C22×C137D4211yescharacteristic
701C22×C137D4211yescharacteristic
702C22×C137D4211yescharacteristic
703C22×C137D4211yescharacteristic
704C22×C137#54611yescharacteristic
705C22×C137#54611yescharacteristic
706C22×C137#54611yescharacteristic
707C22×C137#54611yescharacteristic
708C22×C137#54611yescharacteristic
709C22×C137#55011yescharacteristic
710C22×C137#55311yescharacteristic
711C22×C137#56011yescharacteristic
712C22×C137#56011yescharacteristic
713C22×C137#56011yescharacteristic
714C22×C137H(3,𝔽4)11yescharacteristic
715C4×C137—24no—
716C4×C137—42no—
717C4×C137—42no—
718C4×C137—42no—
719C4×C137—42no—
720C4×C137—42no—
721C4×C137—42no—
722C4×C137—42no—
723C4×C137—42no—
724C4×C137—81no—
725C4×C137—81no—
726C2×C137—82no—
727C2×C137—82no—
728C2×C137—82no—
729C2×C137—82no—
730C2×C137#242411yescharacteristic
731C2×C137#242811yescharacteristic
732C2×C137#246411yescharacteristic
733C2×C137#261911yescharacteristic
734C2×C137#263511yescharacteristic
735C2×C137#266111yescharacteristic
736C2×C137#266911yescharacteristic
737C2×C137#266911yescharacteristic
738C2×C137#267011yescharacteristic
739C2×C137#267011yescharacteristic
740C2×C137#267311yescharacteristic
741C2×C137#267811yescharacteristic
742C2×C137#270311yescharacteristic
743C2×C137#271411yescharacteristic
744C2×C137#282811yescharacteristic
745#16291C13711yesmaximal, characteristic, direct product factor, Sylow
746C137#1629111yescharacteristic, direct product factor, Sylow
747C2×#394C2×C13711yescharacteristic, complemented
748C2×#394C2×C13711yescharacteristic, complemented
749C2×#392C2×C13711yescharacteristic, complemented
750C2×#392C2×C13711yescharacteristic, complemented
751C2×#392C2×C13711yescharacteristic, complemented
752C2×#392C2×C13711yescharacteristic, complemented
753C2×#390C2×C13711yescharacteristic, complemented
754C2×#388C2×C13711yescharacteristic, complemented
755#1442C2×C13711yescharacteristic, complemented
756#1440C2×C13711yescharacteristic, complemented
757#1439C2×C13711yescharacteristic, complemented
758#1438C2×C13711yescharacteristic, complemented
759#1438C2×C13711yescharacteristic, complemented
760#1438C2×C13711yescharacteristic, complemented
761#1437C2×C13711yescharacteristic, complemented
762C23×D4C22×C13711yescharacteristic
763C23×D4C22×C13711yescharacteristic
764C23×D4C22×C13711yescharacteristic
765C23×D4C22×C13711yescharacteristic
766C23×D4C22×C13711yescharacteristic
767C23×D4C22×C13711yescharacteristic
768C22×C4⋊C4C22×C13711yescharacteristic
769C22×C4⋊C4C22×C13711yescharacteristic
770C22×C22⋊C4C22×C13711yescharacteristic
771C22×C22⋊C4C22×C13711yescharacteristic
772C22×C22⋊C4C22×C13711yescharacteristic
773C22×C22⋊C4C22×C13711yescharacteristic
774C22×C22⋊C4C22×C13711yescharacteristic
775C22×C22⋊C4C22×C13711yescharacteristic
776C22×C22⋊C4C22×C13711yescharacteristic
777C22×C22⋊C4C22×C13711yescharacteristic
778C22×C22⋊C4C22×C13711yescharacteristic
779C22×C22⋊C4C22×C13711yescharacteristic
780C22×C22⋊C4C22×C13711yescharacteristic
781C22×C22⋊C4C22×C13711yescharacteristic
782C22×C22⋊C4C22×C13711yescharacteristic
783C22×C22⋊C4C22×C13711yescharacteristic
784C22×C22⋊C4C22×C13711yescharacteristic
785C22×C22⋊C4C22×C13711yescharacteristic
786C22×C42C22×C13711yescharacteristic
787#394—24no—
788#394—24no—
789#392—24no—
790#392—24no—
791#392—24no—
792#392—24no—
793#390—24no—
794#388—24no—
795C2×#95C22×C13711yescharacteristic
796C2×#95C22×C13711yescharacteristic
797C2×#95C22×C13711yescharacteristic
798C2×#95C22×C13711yescharacteristic
799C2×#95C22×C13711yescharacteristic
800C2×#95C22×C13711yescharacteristic
801C2×#95C22×C13711yescharacteristic
802C2×#95C22×C13711yescharacteristic
803C2×#95C22×C13711yescharacteristic
804C2×#95C22×C13711yescharacteristic
805C25C23×C13711yescharacteristic
806C25C23×C13711yescharacteristic
807C25C23×C13711yescharacteristic
808C25C23×C13711yescharacteristic
809C22×D4—22no—
810C22×D4—22no—
811C22×D4—22no—
812C22×D4—22no—
813C22×D4—22no—
814C22×D4—22no—
815C22×D4—22no—
816C22×D4—22no—
817C22×D4—22no—
818C22×D4—22no—
819C22×D4—22no—
820C22×D4—22no—
821C22×D4—22no—
822C22×D4—22no—
823C22×D4—22no—
824C22×D4—22no—
825C22×D4—22no—
826C22×D4—22no—
827C22×D4—22no—
828C22×D4—22no—
829C22×D4—41no—
830C22×D4—41no—
831C22×D4—41no—
832C22×D4—41no—
833C22×D4—41no—
834C22×D4—41no—
835C22×D4—41no—
836C22×D4—41no—
837C22×D4—41no—
838C22×D4—41no—
839C22×D4—41no—
840C22×D4—41no—
841C22×D4—41no—
842C22×D4—41no—
843C22×D4—41no—
844C22×D4—41no—
845C22×D4—41no—
846C22×D4—41no—
847C22×D4—41no—
848C22×D4—41no—
849C22×D4—41no—
850C22×D4—41no—
851C23×C4C23×C13711yescharacteristic
852C23×C4C23×C13711yescharacteristic
853C23×C4C23×C13711yescharacteristic
854C23×C4C23×C13711yescharacteristic
855C23×C4C23×C13711yescharacteristic
856C23×C4C23×C13711yescharacteristic
857C23×C4C23×C13711yescharacteristic
858C23×C4C23×C13711yescharacteristic
859C23×C4C23×C13711yescharacteristic
860C23×C4C23×C13711yescharacteristic
861C23×C4C23×C13711yescharacteristic
862C2×C4⋊C4—22no—
863C2×C4⋊C4—22no—
864C2×C4⋊C4—22no—
865C2×C4⋊C4—22no—
866C2×C4⋊C4—41no—
867C2×C4⋊C4—41no—
868C2×C22⋊C4—22no—
869C2×C22⋊C4—22no—
870C2×C22⋊C4—22no—
871C2×C22⋊C4—22no—
872C2×C22⋊C4—22no—
873C2×C22⋊C4—22no—
874C2×C22⋊C4—22no—
875C2×C22⋊C4—22no—
876C2×C22⋊C4—22no—
877C2×C22⋊C4—22no—
878C2×C22⋊C4—22no—
879C2×C22⋊C4—22no—
880C2×C22⋊C4—22no—
881C2×C22⋊C4—22no—
882C2×C22⋊C4—22no—
883C2×C22⋊C4—22no—
884C2×C22⋊C4—22no—
885C2×C22⋊C4—22no—
886C2×C22⋊C4—22no—
887C2×C22⋊C4—22no—
888C2×C22⋊C4—22no—
889C2×C22⋊C4—22no—
890C2×C22⋊C4—22no—
891C2×C22⋊C4—22no—
892C2×C22⋊C4—22no—
893C2×C22⋊C4—41no—
894C2×C22⋊C4—41no—
895C2×C22⋊C4—41no—
896C2×C22⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C22⋊C4—41no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C22⋊C4—41no—
912C2×C22⋊C4—41no—
913C2×C22⋊C4D4×C13714yescomplemented
914C2×C22⋊C4D4×C13714yescomplemented
915C2×C22⋊C4D4×C13714yescomplemented
916C2×C42—22no—
917C2×C42—22no—
918C2×C42—41no—
919#95—22no—
920#95—22no—
921#95—22no—
922#95—22no—
923#95—22no—
924#95—22no—
925#95—41no—
926#95—41no—
927#95—41no—
928#95D4×C13714yescomplemented
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—21no—
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—21no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24C2×D4×C13712yes—
986C24C2×D4×C13712yes—
987C24C2×D4×C13712yes—
988C24#41×C13712yes—
989C24C24×C13711yescharacteristic
990C2×D4—28no—
991C2×D4—44no—
992C2×D4—44no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—44no—
996C2×D4—44no—
997C2×D4—44no—
998C2×D4—44no—
999C2×D4—44no—
1000C2×D4—44no—
1001C2×D4—44no—
1002C2×D4—44no—
1003C2×D4—44no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—44no—
1008C2×D4—44no—
1009C2×D4—44no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—44no—
1018C2×D4—44no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4C2×D4×C13712yes—
1099C22×C4C2×D4×C13712yes—
1100C22×C4C2×D4×C13712yes—
1101C22×C4C2×D4×C13712yes—
1102C22×C4C2×D4×C13712yes—
1103C22×C4C2×D4×C13712yes—
1104C22×C4C2×D4×C13712yes—
1105C22×C4C2×D4×C13712yes—
1106C22×C4C2×D4×C13712yes—
1107C22×C4#41×C13712yes—
1108C22×C4#41×C13712yes—
1109C4⋊C4—44no—
1110C4⋊C4—44no—
1111C22⋊C4—28no—
1112C22⋊C4—44no—
1113C22⋊C4—44no—
1114C22⋊C4—44no—
1115C22⋊C4—44no—
1116C22⋊C4—44no—
1117C22⋊C4—44no—
1118C22⋊C4—44no—
1119C22⋊C4—44no—
1120C22⋊C4—44no—
1121C22⋊C4—44no—
1122C22⋊C4—44no—
1123C22⋊C4—44no—
1124C22⋊C4—44no—
1125C22⋊C4—44no—
1126C22⋊C4—44no—
1127C42—44no—
1128C23—22no—
1129C23—22no—
1130C23—22no—
1131C23—22no—
1132C23—22no—
1133C23—22no—
1134C23—22no—
1135C23—22no—
1136C23—22no—
1137C23—22no—
1138C23—22no—
1139C23—22no—
1140C23—22no—
1141C23—22no—
1142C23—22no—
1143C23—22no—
1144C23—22no—
1145C23—22no—
1146C23—22no—
1147C23—22no—
1148C23—22no—
1149C23—22no—
1150C23—22no—
1151C23—22no—
1152C23—22no—
1153C23—22no—
1154C23—22no—
1155C23—22no—
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—
1173C23—41no—
1174C23—41no—
1175C23—41no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23C22×D4×C13711yescharacteristic
1269C23C22×D4×C13711yescharacteristic
1270C23C22×D4×C13711yescharacteristic
1271C23C22×D4×C13711yescharacteristic
1272C23C2×#41×C13711yescharacteristic
1273C23C2×#41×C13711yescharacteristic
1274C23C2×#41×C13711yescharacteristic
1275C23H(5,𝔽2)×C13711yescharacteristic
1276C23H(5,𝔽2)×C13711yescharacteristic
1277C23H(5,𝔽2)×C13711yescharacteristic
1278C23H(5,𝔽2)×C13711yescharacteristic
1279C23H(5,𝔽2)×C13711yescharacteristic
1280C23H(5,𝔽2)×C13711yescharacteristic
1281C23H(5,𝔽2)×C13711yescharacteristic
1282C23H(5,𝔽2)×C13711yescharacteristic
1283D4—416no—
1284D4—416no—
1285D4—416no—
1286D4—416no—
1287D4—416no—
1288D4—416no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—22no—
1292C2×C4—22no—
1293C2×C4—22no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4#121×C13714yes—
1366C22—42no—
1367C22—42no—
1368C22—42no—
1369C22—42no—
1370C22—42no—
1371C22—42no—
1372C22—42no—
1373C22—42no—
1374C22—42no—
1375C22—42no—
1376C22—42no—
1377C22—42no—
1378C22—42no—
1379C22—42no—
1380C22—42no—
1381C22—42no—
1382C22—42no—
1383C22—42no—
1384C22—42no—
1385C22—42no—
1386C22—42no—
1387C22—42no—
1388C22—42no—
1389C22—42no—
1390C22—42no—
1391C22—42no—
1392C22—42no—
1393C22—42no—
1394C22—81no—
1395C22—81no—
1396C22—81no—
1397C22—81no—
1398C22—81no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22C2×#121×C13711yescharacteristic
1427C22#525×C13711yescharacteristic
1428C22#532×C13711yescharacteristic
1429C22#534×C13711yescharacteristic
1430C22#534×C13711yescharacteristic
1431C22#535×C13711yescharacteristic
1432C22#535×C13711yescharacteristic
1433C22#535×C13711yescharacteristic
1434C22#535×C13711yescharacteristic
1435C22#535×C13711yescharacteristic
1436C22#535×C13711yescharacteristic
1437C22#538×C13711yescharacteristic
1438C22#538×C13711yescharacteristic
1439C22#538×C13711yescharacteristic
1440C22#538×C13711yescharacteristic
1441C22#540×C13711yescharacteristic
1442C22#540×C13711yescharacteristic
1443C22#540×C13711yescharacteristic
1444C22#540×C13711yescharacteristic
1445C22D42×C13711yescharacteristic
1446C22D42×C13711yescharacteristic
1447C22D42×C13711yescharacteristic
1448C22D42×C13711yescharacteristic
1449C22D42×C13711yescharacteristic
1450C22#546×C13711yescharacteristic
1451C22#546×C13711yescharacteristic
1452C22#546×C13711yescharacteristic
1453C22#546×C13711yescharacteristic
1454C22#546×C13711yescharacteristic
1455C22#550×C13711yescharacteristic
1456C22#553×C13711yescharacteristic
1457C22#560×C13711yescharacteristic
1458C22#560×C13711yescharacteristic
1459C22#560×C13711yescharacteristic
1460C22H(3,𝔽4)×C13711yescharacteristic
1461C4—24no—
1462C4—42no—
1463C4—42no—
1464C4—42no—
1465C4—42no—
1466C4—42no—
1467C4—42no—
1468C4—42no—
1469C4—42no—
1470C4—81no—
1471C4—81no—
1472C2—82no—
1473C2—82no—
1474C2—82no—
1475C2—82no—
1476C2#2424×C13711yescharacteristic
1477C2#2428×C13711yescharacteristic
1478C2#2464×C13711yescharacteristic
1479C2#2619×C13711yescharacteristic
1480C2#2635×C13711yescharacteristic
1481C2#2661×C13711yescharacteristic
1482C2#2669×C13711yescharacteristic
1483C2#2669×C13711yescharacteristic
1484C2#2670×C13711yescharacteristic
1485C2#2670×C13711yescharacteristic
1486C2#2673×C13711yescharacteristic
1487C2#2678×C13711yescharacteristic
1488C2#2703×C13711yescharacteristic
1489C2#2714×C13711yescharacteristic
1490C2#2828×C13711yescharacteristic
subgroupG/H
center, socleC24×C137C24
commutator, Frattini, cosocleC24C24×C137
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C137 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#394×C137C2semidirect
2. C2×#394×C137C2semidirect
3. C2×#392×C137C2semidirect
4. C2×#392×C137C2semidirect
5. C2×#392×C137C2semidirect
6. C2×#392×C137C2semidirect
7. C2×#390×C137C2semidirect
8. C2×#388×C137C2semidirect
9. #1442×C137C2semidirect
10. #1440×C137C2semidirect
11. #1439×C137C2semidirect
12. #1438×C137C2semidirect
13. #1438×C137C2semidirect
14. #1438×C137C2semidirect
15. #1437×C137C2semidirect
167. C2×C22⋊C4×C137D4semidirect
168. C2×C22⋊C4×C137D4semidirect
169. C2×C22⋊C4×C137D4semidirect
182. #95×C137D4semidirect
745. #16291C137direct (N × H)
746. C137#16291direct (N × H)
747. C2×#394C2×C137semidirect
748. C2×#394C2×C137semidirect
749. C2×#392C2×C137semidirect
750. C2×#392C2×C137semidirect
751. C2×#392C2×C137semidirect
752. C2×#392C2×C137semidirect
753. C2×#390C2×C137semidirect
754. C2×#388C2×C137semidirect
755. #1442C2×C137semidirect
756. #1440C2×C137semidirect
757. #1439C2×C137semidirect
758. #1438C2×C137semidirect
759. #1438C2×C137semidirect
760. #1438C2×C137semidirect
761. #1437C2×C137semidirect
913. C2×C22⋊C4D4×C137semidirect
914. C2×C22⋊C4D4×C137semidirect
915. C2×C22⋊C4D4×C137semidirect
928. #95D4×C137semidirect

Maximal subgroups

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

subgroupindex
C2×#394×C1372
C2×#392×C1372
C2×#390×C1372
C2×#388×C1372
#1442×C1372
#1440×C1372
#1439×C1372
#1438×C1372
#1437×C1372
#16291137