Finite Group Databasebeta

← C107×#19771 #41045735

Subgroups — C107×#19771 #41045735

Order 27392.

736 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#3325C211yesmaximal, characteristic, complemented
2C107×#3303C211yesmaximal, characteristic, complemented
3C107×#3294C211yesmaximal, characteristic, complemented
4D4×D8×C107C211yesmaximal, characteristic, complemented
5C107×#1717C211yesmaximal, characteristic, complemented
6C107×#1701C211yesmaximal, characteristic, complemented
7C107×#1683C211yesmaximal, characteristic, complemented
8C107×#1677C211yesmaximal, characteristic, complemented
9C107×#1667C211yesmaximal, characteristic, complemented
10C107×#1639C211yesmaximal, characteristic, complemented
11C107×#1629C211yesmaximal, characteristic, complemented
12C107×#1625C211yesmaximal, characteristic, complemented
13C107×#1624C211yesmaximal, characteristic, complemented
14C107×#1581C211yesmaximal, characteristic, complemented
15C107×#1580C211yesmaximal, characteristic, complemented
16C22×D8×C107—21no—
17#555×C107C2211yescharacteristic, complemented
18#547×C107C2211yescharacteristic, complemented
19D42×C107C2211yescharacteristic
20D42×C107C2211yescharacteristic
21#493×C107C2211yescharacteristic
22#492×C107C2211yescharacteristic, complemented
23#487×C107C2211yescharacteristic, complemented
24#486×C107C2211yescharacteristic, complemented
25#486×C107C2211yescharacteristic, complemented
26#486×C107C2211yescharacteristic, complemented
27#485×C107—21no—
28#482×C107—21no—
29#480×C107—21no—
30#476×C107C2211yescharacteristic
31#476×C107C2211yescharacteristic, complemented
32#474×C107C2211yescharacteristic
33#469×C107—21no—
34#466×C107—21no—
35#466×C107—21no—
36#465×C107—21no—
37#461×C107C2211yescharacteristic, complemented
38#459×C107C2211yescharacteristic
39#459×C107C2211yescharacteristic
40#459×C107C2211yescharacteristic, complemented
41#459×C107C2211yescharacteristic, complemented
42#449×C107—21no—
43#447×C107—21no—
44#447×C107—21no—
45#447×C107—21no—
46#447×C107—21no—
47C4×D8×C107C2211yescharacteristic
48C4×D8×C107C2211yescharacteristic
49#436×C107C2211yescharacteristic, complemented
50C8×D4×C107C2211yescharacteristic
51C8×D4×C107C2211yescharacteristic, complemented
52C8×D4×C107C2211yescharacteristic, complemented
53#418×C107—21no—
54#416×C107—21no—
55C2×#102×C107—21no—
56#335×C107C2211yescharacteristic, complemented
57#334×C107C2211yescharacteristic, complemented
58#333×C107C2211yescharacteristic, complemented
59#332×C107C2211yescharacteristic, complemented
60#331×C107C2211yescharacteristic, complemented
61#331×C107C2211yescharacteristic, complemented
62D4⋊C8×C107C2211yescharacteristic
63D4⋊C8×C107C2211yescharacteristic, complemented
64D4⋊C8×C107C2211yescharacteristic, complemented
65D4⋊C8×C107C2211yescharacteristic, complemented
66#322×C107C2211yescharacteristic, complemented
67C2×#41×C107—21no—
68C22×D4×C107—21no—
69C22×D4×C107—21no—
70C22×D4×C107—21no—
71C22×D4×C107—21no—
72C2×SD16×C107—21no—
73C2×SD16×C107—41no—
74C2×D8×C107—21no—
75C2×D8×C107—21no—
76C2×D8×C107—21no—
77C2×D8×C107—21no—
78C2×D8×C107—21no—
79C2×D8×C107—21no—
80C2×D8×C107—44no—
81C2×D8×C107D411yescharacteristic
82C2×D8×C107D411yescharacteristic
83C2×M16×C107—21no—
84C22×C8×C107—21no—
85C22×C8×C107—21no—
86C22×C8×C107—21no—
87C4⋊Q8×C107C2311yescharacteristic
88C4⋊Q8×C107C2311yescharacteristic
89#127×C107C2311yescharacteristic
90#127×C107C2311yescharacteristic
91#124×C107—41no—
92#123×C107—41no—
93C22⋊Q8×C107—21no—
94#121×C107—21no—
95#121×C107—21no—
96#121×C107—21no—
97#121×C107—21no—
98#121×C107—21no—
99#121×C107—21no—
100#121×C107—21no—
101#120×C107—41no—
102#120×C107—41no—
103C4×D4×C107C2311yescharacteristic
104C4×D4×C107C2311yescharacteristic
105C4×D4×C107C2311yescharacteristic
106C4×D4×C107C2311yescharacteristic
107#117×C107—21no—
108#117×C107—21no—
109C2×C4⋊C4×C107—21no—
110#107×C107—21no—
111#107×C107D411yescharacteristic
112#107×C107D411yescharacteristic
113#106×C107—21no—
114#106×C107—21no—
115C4⋊C8×C107C2311yescharacteristic
116C4⋊C8×C107C2311yescharacteristic
117C4⋊C8×C107C2311yescharacteristic
118C4⋊C8×C107C2311yescharacteristic
119#103×C107—21no—
120#103×C107—21no—
121#103×C107—21no—
122#102×C107—21no—
123#102×C107—21no—
124#102×C107—21no—
125#102×C107—21no—
126#102×C107—21no—
127#102×C107—21no—
128#102×C107—21no—
129#102×C107—21no—
130#102×C107—21no—
131#102×C107—21no—
132#102×C107—21no—
133#102×C107—41no—
134#102×C107D411yescharacteristic
135#102×C107D411yescharacteristic
136#102×C107D411yescharacteristic
137#102×C107D411yescharacteristic
138C22⋊C8×C107—21no—
139C22⋊C8×C107—21no—
140C22⋊C8×C107—21no—
141C22⋊C8×C107—21no—
142C4×C8×C107C2311yescharacteristic
143C4×C8×C107C2311yescharacteristic
144C4×C8×C107C2311yescharacteristic
145C24×C107—41no—
146C24×C107—41no—
147#41×C107—42no—
148#41×C107—81no—
149C2×Q8×C107—21no—
150C2×Q8×C107—21no—
151C2×D4×C107—21no—
152C2×D4×C107—21no—
153C2×D4×C107—21no—
154C2×D4×C107—21no—
155C2×D4×C107—21no—
156C2×D4×C107—21no—
157C2×D4×C107—41no—
158C2×D4×C107—41no—
159C2×D4×C107—41no—
160C2×D4×C107—41no—
161C2×D4×C107—42no—
162C2×D4×C107—42no—
163C2×D4×C107—42no—
164C2×D4×C107—42no—
165C2×D4×C107—41no—
166C2×D4×C107—41no—
167C2×D4×C107—81no—
168C2×D4×C107—81no—
169C2×D4×C107—81no—
170C2×D4×C107—81no—
171C2×D4×C107C2×D411yescharacteristic
172C2×D4×C107C2×D411yescharacteristic
173C2×D4×C107C2×D411yescharacteristic
174C2×D4×C107C2×D411yescharacteristic
175C22×C4×C107—21no—
176C22×C4×C107—21no—
177C22×C4×C107—21no—
178C22×C4×C107—21no—
179C22×C4×C107—41no—
180SD16×C107—81no—
181SD16×C107—82no—
182D8×C107—22no—
183D8×C107—22no—
184D8×C107—42no—
185D8×C107—42no—
186D8×C107—42no—
187D8×C107—81no—
188D8×C107—81no—
189D8×C107—81no—
190M16×C107—81no—
191C2×C8×C107—21no—
192C2×C8×C107—21no—
193C2×C8×C107—21no—
194C2×C8×C107—21no—
195C2×C8×C107—21no—
196C2×C8×C107—42no—
197C2×C8×C107—81no—
198C2×C8×C107—81no—
199C2×C8×C107C2×D411yescharacteristic
200C2×C8×C107C2×D411yescharacteristic
201C2×C8×C107C2×D411yescharacteristic
202C2×C8×C107C2×D411yescharacteristic
203C4⋊C4×C107—21no—
204C4⋊C4×C107—21no—
205C4⋊C4×C107—21no—
206C4⋊C4×C107—21no—
207C4⋊C4×C107—41no—
208C4⋊C4×C107C2×D411yescharacteristic
209C4⋊C4×C107C2×D411yescharacteristic
210C4⋊C4×C107C2×D411yescharacteristic
211C4⋊C4×C107C2×D411yescharacteristic
212C22⋊C4×C107—21no—
213C22⋊C4×C107—21no—
214C22⋊C4×C107—21no—
215C22⋊C4×C107—21no—
216C22⋊C4×C107—41no—
217C22⋊C4×C107—41no—
218C22⋊C4×C107—41no—
219C22⋊C4×C107—41no—
220C22⋊C4×C107—41no—
221C42×C107—41no—
222C42×C107C2411yescharacteristic
223C23×C107—21no—
224C23×C107—21no—
225C23×C107—21no—
226C23×C107—21no—
227C23×C107—41no—
228C23×C107—41no—
229C23×C107—82no—
230C23×C107—82no—
231C23×C107—82no—
232C23×C107—82no—
233C23×C107—161no—
234C23×C107—161no—
235Q8×C107—41no—
236Q8×C107—41no—
237Q8×C107—81no—
238D4×C107—21no—
239D4×C107—21no—
240D4×C107—21no—
241D4×C107—21no—
242D4×C107—21no—
243D4×C107—21no—
244D4×C107—41no—
245D4×C107—41no—
246D4×C107—41no—
247D4×C107—41no—
248D4×C107—41no—
249D4×C107—41no—
250D4×C107—41no—
251D4×C107—41no—
252D4×C107—81no—
253D4×C107—81no—
254D4×C107—82no—
255D4×C107—82no—
256D4×C107—82no—
257D4×C107—82no—
258D4×C107—82no—
259D4×C107—161no—
260D4×C107#13512yes—
261D4×C107AGL(1,ℤ/8)12yes—
262C2×C4×C107—21no—
263C2×C4×C107—21no—
264C2×C4×C107—21no—
265C2×C4×C107—21no—
266C2×C4×C107—41no—
267C2×C4×C107—41no—
268C2×C4×C107—41no—
269C2×C4×C107—41no—
270C2×C4×C107—41no—
271C2×C4×C107—41no—
272C2×C4×C107—41no—
273C2×C4×C107—41no—
274C2×C4×C107—41no—
275C2×C4×C107—41no—
276C2×C4×C107—82no—
277C2×C4×C107C22×D411yescharacteristic
278C2×C4×C107C22×D411yescharacteristic
279C2×C4×C107H(5,𝔽2)11yescharacteristic
280C8×C107—21no—
281C8×C107—21no—
282C8×C107—21no—
283C8×C107—21no—
284C8×C107—41no—
285C8×C107—41no—
286C8×C107—41no—
287C8×C107—41no—
288C8×C107—41no—
289C22×C107—22no—
290C22×C107—22no—
291C22×C107—41no—
292C22×C107—41no—
293C22×C107—41no—
294C22×C107—41no—
295C22×C107—41no—
296C22×C107—41no—
297C22×C107—41no—
298C22×C107—41no—
299C22×C107—41no—
300C22×C107—41no—
301C22×C107—81no—
302C22×C107—81no—
303C22×C107—81no—
304C22×C107—81no—
305C22×C107—81no—
306C22×C107—81no—
307C22×C107—164no—
308C22×C107—164no—
309C22×C107D4211yescharacteristic
310C4×C107—21no—
311C4×C107—41no—
312C4×C107—41no—
313C4×C107—41no—
314C4×C107—41no—
315C4×C107—81no—
316C4×C107—81no—
317C4×C107C2×#13511yescharacteristic
318C4×C107C2×AGL(1,ℤ/8)11yescharacteristic
319C4×C107#57611yescharacteristic
320C4×C107#57611yescharacteristic
321#19771C10711yesmaximal, characteristic, direct product factor, Sylow
322C2×C107—42no—
323C2×C107—42no—
324C2×C107—81no—
325C2×C107—81no—
326C2×C107—161no—
327C2×C107—161no—
328C2×C107#326411yescharacteristic
329C2×C107#328011yescharacteristic
330C2×C107#328811yescharacteristic
331#3325C2×C10711yescharacteristic, complemented
332#3303C2×C10711yescharacteristic, complemented
333#3294C2×C10711yescharacteristic, complemented
334D4×D8C2×C10711yescharacteristic, complemented
335#1717C2×C10711yescharacteristic, complemented
336#1701C2×C10711yescharacteristic, complemented
337#1683C2×C10711yescharacteristic, complemented
338#1677C2×C10711yescharacteristic, complemented
339#1667C2×C10711yescharacteristic, complemented
340#1639C2×C10711yescharacteristic, complemented
341#1629C2×C10711yescharacteristic, complemented
342#1625C2×C10711yescharacteristic, complemented
343#1624C2×C10711yescharacteristic, complemented
344#1581C2×C10711yescharacteristic, complemented
345#1580C2×C10711yescharacteristic, complemented
346C107#1977111yescharacteristic, direct product factor, Sylow
347C22×D8—21no—
348#555C22×C10711yescharacteristic, complemented
349#547C22×C10711yescharacteristic, complemented
350D42C22×C10711yescharacteristic
351D42C22×C10711yescharacteristic
352#493C22×C10711yescharacteristic
353#492C22×C10711yescharacteristic, complemented
354#487C22×C10711yescharacteristic, complemented
355#486C22×C10711yescharacteristic, complemented
356#486C22×C10711yescharacteristic, complemented
357#486C22×C10711yescharacteristic, complemented
358#485—21no—
359#482—21no—
360#480—21no—
361#476C22×C10711yescharacteristic
362#476C22×C10711yescharacteristic, complemented
363#474C22×C10711yescharacteristic
364#469—21no—
365#466—21no—
366#466—21no—
367#465—21no—
368#461C22×C10711yescharacteristic, complemented
369#459C22×C10711yescharacteristic
370#459C22×C10711yescharacteristic
371#459C22×C10711yescharacteristic, complemented
372#459C22×C10711yescharacteristic, complemented
373#449—21no—
374#447—21no—
375#447—21no—
376#447—21no—
377#447—21no—
378C4×D8C22×C10711yescharacteristic
379C4×D8C22×C10711yescharacteristic
380#436C22×C10711yescharacteristic, complemented
381C8×D4C22×C10711yescharacteristic
382C8×D4C22×C10711yescharacteristic, complemented
383C8×D4C22×C10711yescharacteristic, complemented
384#418—21no—
385#416—21no—
386C2×#102—21no—
387#335C22×C10711yescharacteristic, complemented
388#334C22×C10711yescharacteristic, complemented
389#333C22×C10711yescharacteristic, complemented
390#332C22×C10711yescharacteristic, complemented
391#331C22×C10711yescharacteristic, complemented
392#331C22×C10711yescharacteristic, complemented
393D4⋊C8C22×C10711yescharacteristic
394D4⋊C8C22×C10711yescharacteristic, complemented
395D4⋊C8C22×C10711yescharacteristic, complemented
396D4⋊C8C22×C10711yescharacteristic, complemented
397#322C22×C10711yescharacteristic, complemented
398C2×#41—21no—
399C22×D4—21no—
400C22×D4—21no—
401C22×D4—21no—
402C22×D4—21no—
403C2×SD16—21no—
404C2×SD16—41no—
405C2×D8—21no—
406C2×D8—21no—
407C2×D8—21no—
408C2×D8—21no—
409C2×D8—21no—
410C2×D8—21no—
411C2×D8—44no—
412C2×D8D4×C10711yescharacteristic
413C2×D8D4×C10711yescharacteristic
414C2×M16—21no—
415C22×C8—21no—
416C22×C8—21no—
417C22×C8—21no—
418C4⋊Q8C23×C10711yescharacteristic
419C4⋊Q8C23×C10711yescharacteristic
420#127C23×C10711yescharacteristic
421#127C23×C10711yescharacteristic
422#124—41no—
423#123—41no—
424C22⋊Q8—21no—
425#121—21no—
426#121—21no—
427#121—21no—
428#121—21no—
429#121—21no—
430#121—21no—
431#121—21no—
432#120—41no—
433#120—41no—
434C4×D4C23×C10711yescharacteristic
435C4×D4C23×C10711yescharacteristic
436C4×D4C23×C10711yescharacteristic
437C4×D4C23×C10711yescharacteristic
438#117—21no—
439#117—21no—
440C2×C4⋊C4—21no—
441#107—21no—
442#107D4×C10711yescharacteristic
443#107D4×C10711yescharacteristic
444#106—21no—
445#106—21no—
446C4⋊C8C23×C10711yescharacteristic
447C4⋊C8C23×C10711yescharacteristic
448C4⋊C8C23×C10711yescharacteristic
449C4⋊C8C23×C10711yescharacteristic
450#103—21no—
451#103—21no—
452#103—21no—
453#102—21no—
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—21no—
459#102—21no—
460#102—21no—
461#102—21no—
462#102—21no—
463#102—21no—
464#102—41no—
465#102D4×C10711yescharacteristic
466#102D4×C10711yescharacteristic
467#102D4×C10711yescharacteristic
468#102D4×C10711yescharacteristic
469C22⋊C8—21no—
470C22⋊C8—21no—
471C22⋊C8—21no—
472C22⋊C8—21no—
473C4×C8C23×C10711yescharacteristic
474C4×C8C23×C10711yescharacteristic
475C4×C8C23×C10711yescharacteristic
476C24—41no—
477C24—41no—
478#41—42no—
479#41—81no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—41no—
489C2×D4—41no—
490C2×D4—41no—
491C2×D4—41no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—41no—
497C2×D4—41no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4—81no—
501C2×D4—81no—
502C2×D4C2×D4×C10711yescharacteristic
503C2×D4C2×D4×C10711yescharacteristic
504C2×D4C2×D4×C10711yescharacteristic
505C2×D4C2×D4×C10711yescharacteristic
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—41no—
511SD16—81no—
512SD16—82no—
513D8—22no—
514D8—22no—
515D8—42no—
516D8—42no—
517D8—42no—
518D8—81no—
519D8—81no—
520D8—81no—
521M16—81no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—42no—
528C2×C8—81no—
529C2×C8—81no—
530C2×C8C2×D4×C10711yescharacteristic
531C2×C8C2×D4×C10711yescharacteristic
532C2×C8C2×D4×C10711yescharacteristic
533C2×C8C2×D4×C10711yescharacteristic
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—41no—
539C4⋊C4C2×D4×C10711yescharacteristic
540C4⋊C4C2×D4×C10711yescharacteristic
541C4⋊C4C2×D4×C10711yescharacteristic
542C4⋊C4C2×D4×C10711yescharacteristic
543C22⋊C4—21no—
544C22⋊C4—21no—
545C22⋊C4—21no—
546C22⋊C4—21no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C22⋊C4—41no—
551C22⋊C4—41no—
552C42—41no—
553C42C24×C10711yescharacteristic
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—41no—
559C23—41no—
560C23—82no—
561C23—82no—
562C23—82no—
563C23—82no—
564C23—161no—
565C23—161no—
566Q8—41no—
567Q8—41no—
568Q8—81no—
569D4—21no—
570D4—21no—
571D4—21no—
572D4—21no—
573D4—21no—
574D4—21no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—81no—
584D4—81no—
585D4—82no—
586D4—82no—
587D4—82no—
588D4—82no—
589D4—82no—
590D4—161no—
591D4#135×C10712yes—
592D4AGL(1,ℤ/8)×C10712yes—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—82no—
608C2×C4C22×D4×C10711yescharacteristic
609C2×C4C22×D4×C10711yescharacteristic
610C2×C4H(5,𝔽2)×C10711yescharacteristic
611C8—21no—
612C8—21no—
613C8—21no—
614C8—21no—
615C8—41no—
616C8—41no—
617C8—41no—
618C8—41no—
619C8—41no—
620C22—22no—
621C22—22no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—164no—
639C22—164no—
640C22D42×C10711yescharacteristic
641C4—21no—
642C4—41no—
643C4—41no—
644C4—41no—
645C4—41no—
646C4—81no—
647C4—81no—
648C4C2×#135×C10711yescharacteristic
649C4C2×AGL(1,ℤ/8)×C10711yescharacteristic
650C4#576×C10711yescharacteristic
651C4#576×C10711yescharacteristic
652C2—42no—
653C2—42no—
654C2—81no—
655C2—81no—
656C2—161no—
657C2—161no—
658C2C107×#326411yescharacteristic
659C2C107×#328011yescharacteristic
660C2C107×#328811yescharacteristic
subgroupG/H
center, socleC22×C107D42
commutator, Frattini, cosocleC42C24×C107
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C107 ◁ C42×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C107×#3325C2semidirect
2. C107×#3303C2semidirect
3. C107×#3294C2semidirect
4. D4×D8×C107C2semidirect
5. C107×#1717C2semidirect
6. C107×#1701C2semidirect
7. C107×#1683C2semidirect
8. C107×#1677C2semidirect
9. C107×#1667C2semidirect
10. C107×#1639C2semidirect
11. C107×#1629C2semidirect
12. C107×#1625C2semidirect
13. C107×#1624C2semidirect
14. C107×#1581C2semidirect
15. C107×#1580C2semidirect
17. #555×C107C22semidirect
18. #547×C107C22semidirect
22. #492×C107C22semidirect
23. #487×C107C22semidirect
24. #486×C107C22semidirect
25. #486×C107C22semidirect
26. #486×C107C22semidirect
31. #476×C107C22semidirect
37. #461×C107C22semidirect
40. #459×C107C22semidirect
41. #459×C107C22semidirect
49. #436×C107C22semidirect
51. C8×D4×C107C22semidirect
52. C8×D4×C107C22semidirect
56. #335×C107C22semidirect
57. #334×C107C22semidirect
58. #333×C107C22semidirect
59. #332×C107C22semidirect
60. #331×C107C22semidirect
61. #331×C107C22semidirect
63. D4⋊C8×C107C22semidirect
64. D4⋊C8×C107C22semidirect
65. D4⋊C8×C107C22semidirect
66. #322×C107C22semidirect
321. #19771C107direct (N × H)
331. #3325C2×C107semidirect
332. #3303C2×C107semidirect
333. #3294C2×C107semidirect
334. D4×D8C2×C107semidirect
335. #1717C2×C107semidirect
336. #1701C2×C107semidirect
337. #1683C2×C107semidirect
338. #1677C2×C107semidirect
339. #1667C2×C107semidirect
340. #1639C2×C107semidirect
341. #1629C2×C107semidirect
342. #1625C2×C107semidirect
343. #1624C2×C107semidirect
344. #1581C2×C107semidirect
345. #1580C2×C107semidirect
346. C107#19771direct (N × H)
348. #555C22×C107semidirect
349. #547C22×C107semidirect
353. #492C22×C107semidirect
354. #487C22×C107semidirect
355. #486C22×C107semidirect
356. #486C22×C107semidirect
357. #486C22×C107semidirect
362. #476C22×C107semidirect
368. #461C22×C107semidirect
371. #459C22×C107semidirect
372. #459C22×C107semidirect
380. #436C22×C107semidirect
382. C8×D4C22×C107semidirect
383. C8×D4C22×C107semidirect
387. #335C22×C107semidirect
388. #334C22×C107semidirect
389. #333C22×C107semidirect
390. #332C22×C107semidirect
391. #331C22×C107semidirect
392. #331C22×C107semidirect
394. D4⋊C8C22×C107semidirect
395. D4⋊C8C22×C107semidirect
396. D4⋊C8C22×C107semidirect
397. #322C22×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#33252
C107×#33032
C107×#32942
D4×D8×C1072
C107×#17172
C107×#17012
C107×#16832
C107×#16772
C107×#16672
C107×#16392
C107×#16292
C107×#16252
C107×#16242
C107×#15812
C107×#15802
#19771107