Finite Group Databasebeta

← C107×#25198 #41051162

Subgroups — C107×#25198 #41051162

Order 27392.

958 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#3069C211yesmaximal, characteristic, complemented
2C107×#3069C211yesmaximal, characteristic, complemented
3C107×#3020C211yesmaximal, characteristic
4C2×#456×C107C211yesmaximal, characteristic, complemented
5C107×#2956C211yesmaximal, characteristic, complemented
6C107×#2889C211yesmaximal, characteristic, complemented
7C107×#2070C211yesmaximal, characteristic, complemented
8C107×#2050C211yesmaximal, characteristic, complemented
9C107×#2049C211yesmaximal, characteristic, complemented
10C107×#2005C211yesmaximal, characteristic, complemented
11C107×#1966C211yesmaximal, characteristic, complemented
12C107×#1932C211yesmaximal, characteristic, complemented
13C107×#1915C211yesmaximal, characteristic, complemented
14C107×#1902C211yesmaximal, characteristic, complemented
15C107×#1861C211yesmaximal, characteristic, complemented
16C2×2−1+4×C107C2211yescharacteristic
17#575×C107C2211yescharacteristic
18#575×C107C2211yescharacteristic
19C2×#137×C107C2211yescharacteristic
20C2×#137×C107C2211yescharacteristic
21C2×#137×C107C2211yescharacteristic
22#568×C107C2211yescharacteristic
23#568×C107C2211yescharacteristic
24#568×C107C2211yescharacteristic
25#536×C107C2211yescharacteristic
26C2×C4⋊Q8×C107C2211yescharacteristic
27#473×C107—22no—
28#473×C107—22no—
29#471×C107—22no—
30#471×C107—22no—
31#456×C107—22no—
32#456×C107—22no—
33#456×C107—22no—
34#454×C107—22no—
35#444×C107—22no—
36#443×C107—22no—
37#430×C107C2211yescharacteristic
38#430×C107C2211yescharacteristic
39#430×C107C2211yescharacteristic
40#423×C107C2211yescharacteristic
41#421×C107C2211yescharacteristic
42#421×C107C2211yescharacteristic
43C2×#104×C107C2211yescharacteristic
44C2×#104×C107C2211yescharacteristic
45C2×#104×C107C2211yescharacteristic
46#419×C107C2211yescharacteristic
47#413×C107—22no—
48#413×C107C2211yescharacteristic
49#413×C107C2211yescharacteristic
50#413×C107C2211yescharacteristic
51C2×#101×C107—22no—
52C2×#101×C107C2211yescharacteristic
53C2×#101×C107C2211yescharacteristic
54C2×#101×C107C2211yescharacteristic
55C2×#101×C107C2211yescharacteristic
56C2×#101×C107C2211yescharacteristic
57C2×#101×C107C2211yescharacteristic
58C4×M16×C107C2211yescharacteristic
59#344×C107C2211yescharacteristic
60#344×C107C2211yescharacteristic
61#339×C107C2211yescharacteristic
62#338×C107C2211yescharacteristic
632−1+4×C107—22no—
642−1+4×C107—22no—
652−1+4×C107—41no—
662−1+4×C107—41no—
67C2×#41×C107—21no—
68C2×#41×C107—21no—
69C2×#41×C107—22no—
70C2×#41×C107C2311yescharacteristic
71C2×#41×C107C2311yescharacteristic
72C2×#41×C107C2311yescharacteristic
73C22×Q8×C107—21no—
74C22×Q8×C107—21no—
75C22×Q8×C107C2311yescharacteristic
76C22×Q8×C107C2311yescharacteristic
77#137×C107—21no—
78#137×C107—22no—
79#137×C107—22no—
80#137×C107—21no—
81#137×C107—21no—
82#137×C107—22no—
83#137×C107—22no—
84#137×C107—41no—
85#137×C107—41no—
86#137×C107D412yes—
87AGL(1,ℤ/8)×C107—21no—
88AGL(1,ℤ/8)×C107—21no—
89AGL(1,ℤ/8)×C107—21no—
90AGL(1,ℤ/8)×C107D412yes—
91#135×C107—22no—
92#135×C107—41no—
93C2×Q16×C107—21no—
94C2×Q16×C107—21no—
95C2×Q16×C107—21no—
96C2×SD16×C107—21no—
97C2×SD16×C107—21no—
98C2×SD16×C107—21no—
99#131×C107—22no—
100#131×C107—22no—
101#131×C107—22no—
102#131×C107—22no—
103#131×C107—41no—
104#131×C107—41no—
105C2×M16×C107—22no—
106C2×M16×C107—22no—
107C2×M16×C107—41no—
108C2×M16×C107C2311yescharacteristic
109C2×M16×C107C2311yescharacteristic
110C2×M16×C107C2311yescharacteristic
111C2×M16×C107C2311yescharacteristic
112C2×M16×C107C2311yescharacteristic
113C2×M16×C107C2311yescharacteristic
114C2×M16×C107C2311yescharacteristic
115C2×M16×C107C2311yescharacteristic
116C4⋊Q8×C107—21no—
117C4⋊Q8×C107—21no—
118C4⋊Q8×C107—21no—
119C4⋊Q8×C107—41no—
120#124×C107—21no—
121#123×C107—22no—
122C22⋊Q8×C107—41no—
123#117×C107C2311yescharacteristic
124C2×C4⋊C4×C107—22no—
125C2×C42×C107C2311yescharacteristic
126#108×C107—22no—
127#108×C107—22no—
128#108×C107—22no—
129C4⋊C8×C107—41no—
130#104×C107—22no—
131#104×C107—22no—
132#104×C107—21no—
133#104×C107—21no—
134#104×C107—21no—
135#104×C107—21no—
136#104×C107D412yes—
137#104×C107D412yes—
138#103×C107—41no—
139#101×C107—21no—
140#101×C107—21no—
141#101×C107—22no—
142#101×C107—22no—
143#101×C107—22no—
144#101×C107—22no—
145#101×C107—22no—
146#101×C107—22no—
147#101×C107D412yes—
148#100×C107—21no—
149#100×C107—21no—
150#100×C107D412yes—
151#97×C107—21no—
152C4×C8×C107—21no—
153#41×C107—21no—
154#41×C107—21no—
155#41×C107—21no—
156#41×C107—21no—
157#41×C107—21no—
158#41×C107—21no—
159#41×C107—21no—
160#41×C107—21no—
161#41×C107—21no—
162#41×C107—21no—
163#41×C107—42no—
164#41×C107—42no—
165#41×C107—44no—
166#41×C107—44no—
167#41×C107—42no—
168#41×C107—42no—
169#41×C107C2×D412yes—
170#41×C107C2×D412yes—
171C2×Q8×C107—22no—
172C2×Q8×C107—21no—
173C2×Q8×C107—21no—
174C2×Q8×C107—21no—
175C2×Q8×C107—21no—
176C2×Q8×C107—21no—
177C2×Q8×C107—21no—
178C2×Q8×C107—21no—
179C2×Q8×C107—21no—
180C2×Q8×C107—21no—
181C2×Q8×C107—21no—
182C2×Q8×C107—21no—
183C2×Q8×C107—21no—
184C2×Q8×C107—42no—
185C2×Q8×C107—42no—
186C2×Q8×C107—42no—
187C2×Q8×C107—42no—
188C2×Q8×C107C2×D411yescharacteristic
189C2×Q8×C107C2×D411yescharacteristic
190C2×Q8×C107#4111yescharacteristic
191C2×D4×C107—21no—
192C2×D4×C107—22no—
193C2×D4×C107—21no—
194C2×D4×C107—21no—
195C2×D4×C107C2×D411yescharacteristic
196C2×D4×C107C2×D411yescharacteristic
197C2×D4×C107#4111yescharacteristic
198C22×C4×C107—21no—
199C22×C4×C107—22no—
200C22×C4×C107—22no—
201C22×C4×C107—21no—
202C22×C4×C107—21no—
203C22×C4×C107—21no—
204C22×C4×C107—21no—
205C22×C4×C107#4112yes—
206C22×C4×C107C2411yescharacteristic
207Q16×C107—22no—
208Q16×C107—42no—
209Q16×C107—42no—
210Q16×C107—41no—
211Q16×C107—42no—
212SD16×C107—22no—
213SD16×C107—22no—
214SD16×C107—42no—
215SD16×C107—42no—
216SD16×C107—41no—
217SD16×C107—41no—
218SD16×C107—42no—
219D8×C107—22no—
220D8×C107—41no—
221M16×C107—21no—
222M16×C107—21no—
223M16×C107—21no—
224M16×C107—21no—
225M16×C107—21no—
226M16×C107—21no—
227M16×C107—21no—
228M16×C107—21no—
229M16×C107—21no—
230M16×C107—21no—
231M16×C107—21no—
232M16×C107—21no—
233M16×C107—42no—
234M16×C107—42no—
235M16×C107—42no—
236M16×C107C2×D412yes—
237M16×C107C2×D412yes—
238M16×C107C2×D412yes—
239M16×C107C2×D412yes—
240C2×C8×C107—21no—
241C2×C8×C107—21no—
242C2×C8×C107—21no—
243C2×C8×C107—21no—
244C2×C8×C107—21no—
245C2×C8×C107—21no—
246C2×C8×C107—21no—
247C2×C8×C107—21no—
248C2×C8×C107—42no—
249C2×C8×C107—42no—
250C2×C8×C107—42no—
251C4⋊C4×C107—21no—
252C4⋊C4×C107—42no—
253C4⋊C4×C107—42no—
254C4⋊C4×C107—42no—
255C22⋊C4×C107—21no—
256C22⋊C4×C107—42no—
257C42×C107—21no—
258C42×C107—21no—
259C42×C107C2×D411yescharacteristic
260C42×C107C2×D411yescharacteristic
261C23×C107—21no—
262C23×C107—21no—
263C23×C107—21no—
264C23×C107C2×#4111yescharacteristic
265Q8×C107—21no—
266Q8×C107—21no—
267Q8×C107—21no—
268Q8×C107—21no—
269Q8×C107—21no—
270Q8×C107—44no—
271Q8×C107—41no—
272Q8×C107—41no—
273Q8×C107—41no—
274Q8×C107—41no—
275Q8×C107—41no—
276Q8×C107—41no—
277Q8×C107—41no—
278Q8×C107—41no—
279Q8×C107#12112yes—
280D4×C107—22no—
281D4×C107—22no—
282D4×C107—21no—
283D4×C107—21no—
284D4×C107—21no—
285D4×C107—21no—
286D4×C107—21no—
287D4×C107—44no—
288D4×C107—41no—
289D4×C107—41no—
290D4×C107—41no—
291D4×C107—41no—
292D4×C107#12112yes—
293C2×C4×C107—21no—
294C2×C4×C107—21no—
295C2×C4×C107—22no—
296C2×C4×C107—22no—
297C2×C4×C107—21no—
298C2×C4×C107—22no—
299C2×C4×C107—21no—
300C2×C4×C107—22no—
301C2×C4×C107—21no—
302C2×C4×C107—22no—
303C2×C4×C107—42no—
304C2×C4×C107—44no—
305C2×C4×C107—44no—
306C2×C4×C107—41no—
307C2×C4×C107—41no—
308C2×C4×C107—41no—
309C2×C4×C107—41no—
310C2×C4×C107—41no—
311C2×C4×C107—41no—
312C2×C4×C107—41no—
313C2×C4×C107—41no—
314C2×C4×C107C22×D411yescharacteristic
315C2×C4×C107C22×D411yescharacteristic
316C2×C4×C107C22×D411yescharacteristic
317C2×C4×C107C2×#4111yescharacteristic
318C2×C4×C107H(5,𝔽2)11yescharacteristic
319C2×C4×C107H(5,𝔽2)11yescharacteristic
320C8×C107—22no—
321C8×C107—22no—
322C8×C107—22no—
323C8×C107—22no—
324C8×C107—41no—
325C8×C107—41no—
326C8×C107—41no—
327C8×C107—41no—
328C22×C107—22no—
329C22×C107—41no—
330C22×C107—41no—
331C22×C107—41no—
332C22×C107—81no—
333C22×C107—81no—
334C22×C107—81no—
335C22×C107#52511yescharacteristic
336C22×C107#54611yescharacteristic
337C22×C107#54611yescharacteristic
338C4×C107—22no—
339C4×C107—22no—
340C4×C107—41no—
341C4×C107—42no—
342C4×C107—41no—
343C4×C107—41no—
344C4×C107—81no—
345C4×C107—81no—
346C4×C107C2×#12111yescharacteristic
347C4×C107#53811yescharacteristic
348C4×C107D4211yescharacteristic
349C4×C107D4211yescharacteristic
350#25198C10711yesmaximal, characteristic, direct product factor, Sylow
351C2×C107—21no—
352C2×C107—21no—
353C2×C107—21no—
354C2×C107—42no—
355C2×C107—81no—
356C2×C107—81no—
357C2×C107#242411yescharacteristic
358#3069C2×C10711yescharacteristic, complemented
359#3069C2×C10711yescharacteristic, complemented
360#3020C2×C10711yescharacteristic
361C2×#456C2×C10711yescharacteristic, complemented
362#2956C2×C10711yescharacteristic, complemented
363#2889C2×C10711yescharacteristic, complemented
364#2070C2×C10711yescharacteristic, complemented
365#2050C2×C10711yescharacteristic, complemented
366#2049C2×C10711yescharacteristic, complemented
367#2005C2×C10711yescharacteristic, complemented
368#1966C2×C10711yescharacteristic, complemented
369#1932C2×C10711yescharacteristic, complemented
370#1915C2×C10711yescharacteristic, complemented
371#1902C2×C10711yescharacteristic, complemented
372#1861C2×C10711yescharacteristic, complemented
373C107#2519811yescharacteristic, direct product factor, Sylow
374C2×2−1+4C22×C10711yescharacteristic
375#575C22×C10711yescharacteristic
376#575C22×C10711yescharacteristic
377C2×#137C22×C10711yescharacteristic
378C2×#137C22×C10711yescharacteristic
379C2×#137C22×C10711yescharacteristic
380#568C22×C10711yescharacteristic
381#568C22×C10711yescharacteristic
382#568C22×C10711yescharacteristic
383#536C22×C10711yescharacteristic
384C2×C4⋊Q8C22×C10711yescharacteristic
385#473—22no—
386#473—22no—
387#471—22no—
388#471—22no—
389#456—22no—
390#456—22no—
391#456—22no—
392#454—22no—
393#444—22no—
394#443—22no—
395#430C22×C10711yescharacteristic
396#430C22×C10711yescharacteristic
397#430C22×C10711yescharacteristic
398#423C22×C10711yescharacteristic
399#421C22×C10711yescharacteristic
400#421C22×C10711yescharacteristic
401C2×#104C22×C10711yescharacteristic
402C2×#104C22×C10711yescharacteristic
403C2×#104C22×C10711yescharacteristic
404#419C22×C10711yescharacteristic
405#413—22no—
406#413C22×C10711yescharacteristic
407#413C22×C10711yescharacteristic
408#413C22×C10711yescharacteristic
409C2×#101—22no—
410C2×#101C22×C10711yescharacteristic
411C2×#101C22×C10711yescharacteristic
412C2×#101C22×C10711yescharacteristic
413C2×#101C22×C10711yescharacteristic
414C2×#101C22×C10711yescharacteristic
415C2×#101C22×C10711yescharacteristic
416C4×M16C22×C10711yescharacteristic
417#344C22×C10711yescharacteristic
418#344C22×C10711yescharacteristic
419#339C22×C10711yescharacteristic
420#338C22×C10711yescharacteristic
4212−1+4—22no—
4222−1+4—22no—
4232−1+4—41no—
4242−1+4—41no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—22no—
428C2×#41C23×C10711yescharacteristic
429C2×#41C23×C10711yescharacteristic
430C2×#41C23×C10711yescharacteristic
431C22×Q8—21no—
432C22×Q8—21no—
433C22×Q8C23×C10711yescharacteristic
434C22×Q8C23×C10711yescharacteristic
435#137—21no—
436#137—22no—
437#137—22no—
438#137—21no—
439#137—21no—
440#137—22no—
441#137—22no—
442#137—41no—
443#137—41no—
444#137D4×C10712yes—
445AGL(1,ℤ/8)—21no—
446AGL(1,ℤ/8)—21no—
447AGL(1,ℤ/8)—21no—
448AGL(1,ℤ/8)D4×C10712yes—
449#135—22no—
450#135—41no—
451C2×Q16—21no—
452C2×Q16—21no—
453C2×Q16—21no—
454C2×SD16—21no—
455C2×SD16—21no—
456C2×SD16—21no—
457#131—22no—
458#131—22no—
459#131—22no—
460#131—22no—
461#131—41no—
462#131—41no—
463C2×M16—22no—
464C2×M16—22no—
465C2×M16—41no—
466C2×M16C23×C10711yescharacteristic
467C2×M16C23×C10711yescharacteristic
468C2×M16C23×C10711yescharacteristic
469C2×M16C23×C10711yescharacteristic
470C2×M16C23×C10711yescharacteristic
471C2×M16C23×C10711yescharacteristic
472C2×M16C23×C10711yescharacteristic
473C2×M16C23×C10711yescharacteristic
474C4⋊Q8—21no—
475C4⋊Q8—21no—
476C4⋊Q8—21no—
477C4⋊Q8—41no—
478#124—21no—
479#123—22no—
480C22⋊Q8—41no—
481#117C23×C10711yescharacteristic
482C2×C4⋊C4—22no—
483C2×C42C23×C10711yescharacteristic
484#108—22no—
485#108—22no—
486#108—22no—
487C4⋊C8—41no—
488#104—22no—
489#104—22no—
490#104—21no—
491#104—21no—
492#104—21no—
493#104—21no—
494#104D4×C10712yes—
495#104D4×C10712yes—
496#103—41no—
497#101—21no—
498#101—21no—
499#101—22no—
500#101—22no—
501#101—22no—
502#101—22no—
503#101—22no—
504#101—22no—
505#101D4×C10712yes—
506#100—21no—
507#100—21no—
508#100D4×C10712yes—
509#97—21no—
510C4×C8—21no—
511#41—21no—
512#41—21no—
513#41—21no—
514#41—21no—
515#41—21no—
516#41—21no—
517#41—21no—
518#41—21no—
519#41—21no—
520#41—21no—
521#41—42no—
522#41—42no—
523#41—44no—
524#41—44no—
525#41—42no—
526#41—42no—
527#41C2×D4×C10712yes—
528#41C2×D4×C10712yes—
529C2×Q8—22no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—21no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—42no—
543C2×Q8—42no—
544C2×Q8—42no—
545C2×Q8—42no—
546C2×Q8C2×D4×C10711yescharacteristic
547C2×Q8C2×D4×C10711yescharacteristic
548C2×Q8#41×C10711yescharacteristic
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4C2×D4×C10711yescharacteristic
554C2×D4C2×D4×C10711yescharacteristic
555C2×D4#41×C10711yescharacteristic
556C22×C4—21no—
557C22×C4—22no—
558C22×C4—22no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4#41×C10712yes—
564C22×C4C24×C10711yescharacteristic
565Q16—22no—
566Q16—42no—
567Q16—42no—
568Q16—41no—
569Q16—42no—
570SD16—22no—
571SD16—22no—
572SD16—42no—
573SD16—42no—
574SD16—41no—
575SD16—41no—
576SD16—42no—
577D8—22no—
578D8—41no—
579M16—21no—
580M16—21no—
581M16—21no—
582M16—21no—
583M16—21no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—42no—
592M16—42no—
593M16—42no—
594M16C2×D4×C10712yes—
595M16C2×D4×C10712yes—
596M16C2×D4×C10712yes—
597M16C2×D4×C10712yes—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—21no—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—42no—
607C2×C8—42no—
608C2×C8—42no—
609C4⋊C4—21no—
610C4⋊C4—42no—
611C4⋊C4—42no—
612C4⋊C4—42no—
613C22⋊C4—21no—
614C22⋊C4—42no—
615C42—21no—
616C42—21no—
617C42C2×D4×C10711yescharacteristic
618C42C2×D4×C10711yescharacteristic
619C23—21no—
620C23—21no—
621C23—21no—
622C23C2×#41×C10711yescharacteristic
623Q8—21no—
624Q8—21no—
625Q8—21no—
626Q8—21no—
627Q8—21no—
628Q8—44no—
629Q8—41no—
630Q8—41no—
631Q8—41no—
632Q8—41no—
633Q8—41no—
634Q8—41no—
635Q8—41no—
636Q8—41no—
637Q8#121×C10712yes—
638D4—22no—
639D4—22no—
640D4—21no—
641D4—21no—
642D4—21no—
643D4—21no—
644D4—21no—
645D4—44no—
646D4—41no—
647D4—41no—
648D4—41no—
649D4—41no—
650D4#121×C10712yes—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—44no—
662C2×C4—42no—
663C2×C4—44no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4C22×D4×C10711yescharacteristic
673C2×C4C22×D4×C10711yescharacteristic
674C2×C4C22×D4×C10711yescharacteristic
675C2×C4C2×#41×C10711yescharacteristic
676C2×C4H(5,𝔽2)×C10711yescharacteristic
677C2×C4H(5,𝔽2)×C10711yescharacteristic
678C8—22no—
679C8—22no—
680C8—22no—
681C8—22no—
682C8—41no—
683C8—41no—
684C8—41no—
685C8—41no—
686C22—22no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22#525×C10711yescharacteristic
694C22#546×C10711yescharacteristic
695C22#546×C10711yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—42no—
700C4—41no—
701C4—41no—
702C4—81no—
703C4—81no—
704C4C2×#121×C10711yescharacteristic
705C4#538×C10711yescharacteristic
706C4D42×C10711yescharacteristic
707C4D42×C10711yescharacteristic
708C2—21no—
709C2—21no—
710C2—21no—
711C2—42no—
712C2—81no—
713C2—81no—
714C2C107×#242411yescharacteristic
subgroupG/H
center, socleC2×C107#2424
commutator, Frattini, cosocleC22×C4C24×C107
prime radicalC107×#3020C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C107 ◁ C22×C4×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C107×#3069C2semidirect
2. C107×#3069C2semidirect
4. C2×#456×C107C2semidirect
5. C107×#2956C2semidirect
6. C107×#2889C2semidirect
7. C107×#2070C2semidirect
8. C107×#2050C2semidirect
9. C107×#2049C2semidirect
10. C107×#2005C2semidirect
11. C107×#1966C2semidirect
12. C107×#1932C2semidirect
13. C107×#1915C2semidirect
14. C107×#1902C2semidirect
15. C107×#1861C2semidirect
350. #25198C107direct (N × H)
358. #3069C2×C107semidirect
359. #3069C2×C107semidirect
361. C2×#456C2×C107semidirect
362. #2956C2×C107semidirect
363. #2889C2×C107semidirect
364. #2070C2×C107semidirect
365. #2050C2×C107semidirect
366. #2049C2×C107semidirect
367. #2005C2×C107semidirect
368. #1966C2×C107semidirect
369. #1932C2×C107semidirect
370. #1915C2×C107semidirect
371. #1902C2×C107semidirect
372. #1861C2×C107semidirect
373. C107#25198direct (N × H)

Maximal subgroups

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

subgroupindex
C107×#30692
C107×#30202
C2×#456×C1072
C107×#29562
C107×#28892
C107×#20702
C107×#20502
C107×#20492
C107×#20052
C107×#19662
C107×#19322
C107×#19152
C107×#19022
C107×#18612
#25198107