Finite Group Databasebeta

← C107×#25199 #41051163

Subgroups — C107×#25199 #41051163

Order 27392.

990 conjugacy classes of subgroups.

The subgroup lattice has 732 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×#3019C211yesmaximal, characteristic
4C2×#455×C107C211yesmaximal, characteristic, complemented
5C107×#2956C211yesmaximal, characteristic, complemented
6C107×#2888C211yesmaximal, characteristic, complemented
7C107×#2069C211yesmaximal, characteristic, complemented
8C107×#2050C211yesmaximal, characteristic, complemented
9C107×#2049C211yesmaximal, characteristic, complemented
10C107×#2004C211yesmaximal, characteristic, complemented
11C107×#1967C211yesmaximal, characteristic, complemented
12C107×#1932C211yesmaximal, characteristic, complemented
13C107×#1914C211yesmaximal, characteristic, complemented
14C107×#1902C211yesmaximal, characteristic, complemented
15C107×#1861C211yesmaximal, characteristic, complemented
16C2×H(5,𝔽2)×C107C2211yescharacteristic
17#575×C107C2211yescharacteristic
18#575×C107C2211yescharacteristic
19C2×#137×C107C2211yescharacteristic
20C2×#137×C107C2211yescharacteristic
21C2×#137×C107C2211yescharacteristic, complemented
22#568×C107C2211yescharacteristic
23#568×C107C2211yescharacteristic
24#568×C107C2211yescharacteristic, complemented
25#535×C107C2211yescharacteristic
26C2×#124×C107C2211yescharacteristic
27#473×C107—22no—
28#473×C107—22no—
29#471×C107—22no—
30#471×C107—22no—
31#455×C107—22no—
32#455×C107—22no—
33#455×C107—22no—
34#453×C107—22no—
35#444×C107—22no—
36#443×C107—22no—
37#430×C107C2211yescharacteristic, complemented
38#430×C107C2211yescharacteristic, complemented
39#430×C107C2211yescharacteristic, complemented
40#423×C107C2211yescharacteristic, complemented
41#421×C107C2211yescharacteristic
42#421×C107C2211yescharacteristic
43C2×#104×C107C2211yescharacteristic
44C2×#104×C107C2211yescharacteristic
45C2×#104×C107C2211yescharacteristic, complemented
46#419×C107C2211yescharacteristic, complemented
47#413×C107—22no—
48#413×C107C2211yescharacteristic
49#413×C107C2211yescharacteristic
50#413×C107C2211yescharacteristic, complemented
51C2×#101×C107C2211yescharacteristic, complemented
52C2×#101×C107C2211yescharacteristic, complemented
53C2×#100×C107—22no—
54C2×#100×C107C2211yescharacteristic
55C2×#100×C107C2211yescharacteristic
56C2×#100×C107C2211yescharacteristic
57C2×#100×C107C2211yescharacteristic
58C4×M16×C107C2211yescharacteristic, complemented
59#344×C107C2211yescharacteristic, complemented
60#344×C107C2211yescharacteristic, complemented
61#339×C107C2211yescharacteristic, complemented
62#338×C107C2211yescharacteristic, complemented
63H(5,𝔽2)×C107—22no—
64H(5,𝔽2)×C107—22no—
65H(5,𝔽2)×C107—41no—
66H(5,𝔽2)×C107—41no—
67C2×#41×C107—21no—
68C2×#41×C107—21no—
69C2×#41×C107C2311yescharacteristic
70C2×#41×C107C2311yescharacteristic
71C2×#41×C107C2311yescharacteristic
72C22×Q8×C107C2311yescharacteristic
73C22×D4×C107—22no—
74C22×D4×C107—21no—
75C22×D4×C107—21no—
76C22×D4×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
116#127×C107—21no—
117#124×C107—21no—
118#124×C107—21no—
119#124×C107—21no—
120#124×C107—41no—
121#121×C107—41no—
122#120×C107—22no—
123#117×C107C2311yescharacteristic
124C2×C22⋊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×C107D412yescomplemented
137#104×C107D412yescomplemented
138#103×C107—41no—
139#101×C107—21no—
140#101×C107—21no—
141#101×C107—22no—
142#101×C107—22no—
143#101×C107D412yescomplemented
144#100×C107—21no—
145#100×C107—21no—
146#100×C107—22no—
147#100×C107—22no—
148#100×C107—22no—
149#100×C107—22no—
150#100×C107D412yescomplemented
151#97×C107—21no—
152C4×C8×C107—21no—
153C24×C107—22no—
154C24×C107#4112yes—
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—21no—
164#41×C107—21no—
165#41×C107—42no—
166#41×C107—42no—
167#41×C107—42no—
168#41×C107—42no—
169#41×C107C2×D412yes—
170#41×C107C2×D412yes—
171C2×Q8×C107—21no—
172C2×Q8×C107—21no—
173C2×Q8×C107—21no—
174C2×Q8×C107—21no—
175C2×Q8×C107—21no—
176C2×Q8×C107—21no—
177C2×Q8×C107C2×D411yescharacteristic
178C2×Q8×C107C2×D411yescharacteristic
179C2×Q8×C107#4111yescharacteristic
180C2×D4×C107—21no—
181C2×D4×C107—22no—
182C2×D4×C107—22no—
183C2×D4×C107—21no—
184C2×D4×C107—21no—
185C2×D4×C107—21no—
186C2×D4×C107—21no—
187C2×D4×C107—21no—
188C2×D4×C107—21no—
189C2×D4×C107—21no—
190C2×D4×C107—21no—
191C2×D4×C107—42no—
192C2×D4×C107—42no—
193C2×D4×C107—44no—
194C2×D4×C107—44no—
195C2×D4×C107—42no—
196C2×D4×C107—42no—
197C2×D4×C107—42no—
198C2×D4×C107C2×D411yescharacteristic
199C2×D4×C107C2×D411yescharacteristic
200C2×D4×C107#4111yescharacteristic
201C22×C4×C107—21no—
202C22×C4×C107—22no—
203C22×C4×C107—21no—
204C22×C4×C107—21no—
205C22×C4×C107—21no—
206C22×C4×C107—21no—
207C22×C4×C107C2411yescharacteristic
208Q16×C107—22no—
209Q16×C107—42no—
210Q16×C107—42no—
211Q16×C107—41no—
212Q16×C107—42no—
213SD16×C107—22no—
214SD16×C107—22no—
215SD16×C107—42no—
216SD16×C107—42no—
217SD16×C107—41no—
218SD16×C107—41no—
219SD16×C107—42no—
220D8×C107—22no—
221D8×C107—41no—
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—21no—
234M16×C107—42no—
235M16×C107—42no—
236M16×C107—42no—
237M16×C107C2×D412yes—
238M16×C107C2×D412yes—
239M16×C107C2×D412yes—
240M16×C107C2×D412yes—
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—21no—
249C2×C8×C107—42no—
250C2×C8×C107—42no—
251C2×C8×C107—42no—
252C4⋊C4×C107—21no—
253C22⋊C4×C107—21no—
254C22⋊C4×C107—42no—
255C22⋊C4×C107—42no—
256C22⋊C4×C107—42no—
257C42×C107—21no—
258C42×C107—21no—
259C42×C107C2×D411yescharacteristic
260C42×C107C2×D411yescharacteristic
261C23×C107—21no—
262C23×C107—22no—
263C23×C107—21no—
264C23×C107—22no—
265C23×C107—22no—
266C23×C107—21no—
267C23×C107—44no—
268C23×C107—82no—
269C23×C107—162no—
270C23×C107C2×#4111yescharacteristic
271Q8×C107—21no—
272Q8×C107—21no—
273Q8×C107—21no—
274Q8×C107—21no—
275Q8×C107—21no—
276Q8×C107—41no—
277Q8×C107—41no—
278Q8×C107—41no—
279Q8×C107—41no—
280Q8×C107#12112yes—
281D4×C107—22no—
282D4×C107—22no—
283D4×C107—21no—
284D4×C107—21no—
285D4×C107—21no—
286D4×C107—21no—
287D4×C107—21no—
288D4×C107—44no—
289D4×C107—44no—
290D4×C107—41no—
291D4×C107—41no—
292D4×C107—41no—
293D4×C107—41no—
294D4×C107—41no—
295D4×C107—41no—
296D4×C107—41no—
297D4×C107—41no—
298D4×C107—162no—
299D4×C107#12112yes—
300C2×C4×C107—21no—
301C2×C4×C107—22no—
302C2×C4×C107—22no—
303C2×C4×C107—21no—
304C2×C4×C107—21no—
305C2×C4×C107—21no—
306C2×C4×C107—21no—
307C2×C4×C107—44no—
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×C107—41no—
315C2×C4×C107—41no—
316C2×C4×C107—81no—
317C2×C4×C107C22×D411yescharacteristic
318C2×C4×C107C22×D411yescharacteristic
319C2×C4×C107C22×D411yescharacteristic
320C2×C4×C107C2×#4111yescharacteristic
321C2×C4×C107H(5,𝔽2)11yescharacteristic
322C2×C4×C107H(5,𝔽2)11yescharacteristic
323C8×C107—22no—
324C8×C107—22no—
325C8×C107—22no—
326C8×C107—22no—
327C8×C107—41no—
328C8×C107—41no—
329C8×C107—41no—
330C8×C107—41no—
331C22×C107—22no—
332C22×C107—41no—
333C22×C107—41no—
334C22×C107—41no—
335C22×C107—42no—
336C22×C107—81no—
337C22×C107—81no—
338C22×C107—82no—
339C22×C107—82no—
340C22×C107—82no—
341C22×C107—81no—
342C22×C107—164no—
343C22×C107#52511yescharacteristic
344C22×C107#54611yescharacteristic
345C22×C107#54611yescharacteristic
346C4×C107—22no—
347C4×C107—41no—
348C4×C107—41no—
349C4×C107—41no—
350C4×C107—41no—
351C4×C107—81no—
352C4×C107—81no—
353C4×C107C2×#12111yescharacteristic
354C4×C107#53811yescharacteristic
355C4×C107D4211yescharacteristic
356C4×C107D4211yescharacteristic
357#25199C10711yesmaximal, characteristic, direct product factor, Sylow
358C2×C107—21no—
359C2×C107—21no—
360C2×C107—21no—
361C2×C107—42no—
362C2×C107—81no—
363C2×C107—82no—
364C2×C107—81no—
365C2×C107#242411yescharacteristic
366#3069C2×C10711yescharacteristic, complemented
367#3069C2×C10711yescharacteristic, complemented
368#3019C2×C10711yescharacteristic
369C2×#455C2×C10711yescharacteristic, complemented
370#2956C2×C10711yescharacteristic, complemented
371#2888C2×C10711yescharacteristic, complemented
372#2069C2×C10711yescharacteristic, complemented
373#2050C2×C10711yescharacteristic, complemented
374#2049C2×C10711yescharacteristic, complemented
375#2004C2×C10711yescharacteristic, complemented
376#1967C2×C10711yescharacteristic, complemented
377#1932C2×C10711yescharacteristic, complemented
378#1914C2×C10711yescharacteristic, complemented
379#1902C2×C10711yescharacteristic, complemented
380#1861C2×C10711yescharacteristic, complemented
381C107#2519911yescharacteristic, direct product factor, Sylow
382C2×H(5,𝔽2)C22×C10711yescharacteristic
383#575C22×C10711yescharacteristic
384#575C22×C10711yescharacteristic
385C2×#137C22×C10711yescharacteristic
386C2×#137C22×C10711yescharacteristic
387C2×#137C22×C10711yescharacteristic, complemented
388#568C22×C10711yescharacteristic
389#568C22×C10711yescharacteristic
390#568C22×C10711yescharacteristic, complemented
391#535C22×C10711yescharacteristic
392C2×#124C22×C10711yescharacteristic
393#473—22no—
394#473—22no—
395#471—22no—
396#471—22no—
397#455—22no—
398#455—22no—
399#455—22no—
400#453—22no—
401#444—22no—
402#443—22no—
403#430C22×C10711yescharacteristic, complemented
404#430C22×C10711yescharacteristic, complemented
405#430C22×C10711yescharacteristic, complemented
406#423C22×C10711yescharacteristic, complemented
407#421C22×C10711yescharacteristic
408#421C22×C10711yescharacteristic
409C2×#104C22×C10711yescharacteristic
410C2×#104C22×C10711yescharacteristic
411C2×#104C22×C10711yescharacteristic, complemented
412#419C22×C10711yescharacteristic, complemented
413#413—22no—
414#413C22×C10711yescharacteristic
415#413C22×C10711yescharacteristic
416#413C22×C10711yescharacteristic, complemented
417C2×#101C22×C10711yescharacteristic, complemented
418C2×#101C22×C10711yescharacteristic, complemented
419C2×#100—22no—
420C2×#100C22×C10711yescharacteristic
421C2×#100C22×C10711yescharacteristic
422C2×#100C22×C10711yescharacteristic
423C2×#100C22×C10711yescharacteristic
424C4×M16C22×C10711yescharacteristic, complemented
425#344C22×C10711yescharacteristic, complemented
426#344C22×C10711yescharacteristic, complemented
427#339C22×C10711yescharacteristic, complemented
428#338C22×C10711yescharacteristic, complemented
429H(5,𝔽2)—22no—
430H(5,𝔽2)—22no—
431H(5,𝔽2)—41no—
432H(5,𝔽2)—41no—
433C2×#41—21no—
434C2×#41—21no—
435C2×#41C23×C10711yescharacteristic
436C2×#41C23×C10711yescharacteristic
437C2×#41C23×C10711yescharacteristic
438C22×Q8C23×C10711yescharacteristic
439C22×D4—22no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4C23×C10711yescharacteristic
443#137—21no—
444#137—22no—
445#137—22no—
446#137—21no—
447#137—21no—
448#137—22no—
449#137—22no—
450#137—41no—
451#137—41no—
452#137D4×C10712yes—
453AGL(1,ℤ/8)—21no—
454AGL(1,ℤ/8)—21no—
455AGL(1,ℤ/8)—21no—
456AGL(1,ℤ/8)D4×C10712yes—
457#135—22no—
458#135—41no—
459C2×Q16—21no—
460C2×Q16—21no—
461C2×Q16—21no—
462C2×SD16—21no—
463C2×SD16—21no—
464C2×SD16—21no—
465#131—22no—
466#131—22no—
467#131—22no—
468#131—22no—
469#131—41no—
470#131—41no—
471C2×M16—22no—
472C2×M16—22no—
473C2×M16—41no—
474C2×M16C23×C10711yescharacteristic
475C2×M16C23×C10711yescharacteristic
476C2×M16C23×C10711yescharacteristic
477C2×M16C23×C10711yescharacteristic
478C2×M16C23×C10711yescharacteristic
479C2×M16C23×C10711yescharacteristic
480C2×M16C23×C10711yescharacteristic
481C2×M16C23×C10711yescharacteristic
482#127—21no—
483#124—21no—
484#124—21no—
485#124—21no—
486#124—41no—
487#121—41no—
488#120—22no—
489#117C23×C10711yescharacteristic
490C2×C22⋊C4—22no—
491C2×C42C23×C10711yescharacteristic
492#108—22no—
493#108—22no—
494#108—22no—
495C4⋊C8—41no—
496#104—22no—
497#104—22no—
498#104—21no—
499#104—21no—
500#104—21no—
501#104—21no—
502#104D4×C10712yescomplemented
503#104D4×C10712yescomplemented
504#103—41no—
505#101—21no—
506#101—21no—
507#101—22no—
508#101—22no—
509#101D4×C10712yescomplemented
510#100—21no—
511#100—21no—
512#100—22no—
513#100—22no—
514#100—22no—
515#100—22no—
516#100D4×C10712yescomplemented
517#97—21no—
518C4×C8—21no—
519C24—22no—
520C24#41×C10712yes—
521#41—21no—
522#41—21no—
523#41—21no—
524#41—21no—
525#41—21no—
526#41—21no—
527#41—21no—
528#41—21no—
529#41—21no—
530#41—21no—
531#41—42no—
532#41—42no—
533#41—42no—
534#41—42no—
535#41C2×D4×C10712yes—
536#41C2×D4×C10712yes—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—21no—
543C2×Q8C2×D4×C10711yescharacteristic
544C2×Q8C2×D4×C10711yescharacteristic
545C2×Q8#41×C10711yescharacteristic
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—42no—
558C2×D4—42no—
559C2×D4—44no—
560C2×D4—44no—
561C2×D4—42no—
562C2×D4—42no—
563C2×D4—42no—
564C2×D4C2×D4×C10711yescharacteristic
565C2×D4C2×D4×C10711yescharacteristic
566C2×D4#41×C10711yescharacteristic
567C22×C4—21no—
568C22×C4—22no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4C24×C10711yescharacteristic
574Q16—22no—
575Q16—42no—
576Q16—42no—
577Q16—41no—
578Q16—42no—
579SD16—22no—
580SD16—22no—
581SD16—42no—
582SD16—42no—
583SD16—41no—
584SD16—41no—
585SD16—42no—
586D8—22no—
587D8—41no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—21no—
592M16—21no—
593M16—21no—
594M16—21no—
595M16—21no—
596M16—21no—
597M16—21no—
598M16—21no—
599M16—21no—
600M16—42no—
601M16—42no—
602M16—42no—
603M16C2×D4×C10712yes—
604M16C2×D4×C10712yes—
605M16C2×D4×C10712yes—
606M16C2×D4×C10712yes—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—21no—
611C2×C8—21no—
612C2×C8—21no—
613C2×C8—21no—
614C2×C8—21no—
615C2×C8—42no—
616C2×C8—42no—
617C2×C8—42no—
618C4⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—42no—
621C22⋊C4—42no—
622C22⋊C4—42no—
623C42—21no—
624C42—21no—
625C42C2×D4×C10711yescharacteristic
626C42C2×D4×C10711yescharacteristic
627C23—21no—
628C23—22no—
629C23—21no—
630C23—22no—
631C23—22no—
632C23—21no—
633C23—44no—
634C23—82no—
635C23—162no—
636C23C2×#41×C10711yescharacteristic
637Q8—21no—
638Q8—21no—
639Q8—21no—
640Q8—21no—
641Q8—21no—
642Q8—41no—
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8#121×C10712yes—
647D4—22no—
648D4—22no—
649D4—21no—
650D4—21no—
651D4—21no—
652D4—21no—
653D4—21no—
654D4—44no—
655D4—44no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4—41no—
660D4—41no—
661D4—41no—
662D4—41no—
663D4—41no—
664D4—162no—
665D4#121×C10712yes—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—44no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—81no—
683C2×C4C22×D4×C10711yescharacteristic
684C2×C4C22×D4×C10711yescharacteristic
685C2×C4C22×D4×C10711yescharacteristic
686C2×C4C2×#41×C10711yescharacteristic
687C2×C4H(5,𝔽2)×C10711yescharacteristic
688C2×C4H(5,𝔽2)×C10711yescharacteristic
689C8—22no—
690C8—22no—
691C8—22no—
692C8—22no—
693C8—41no—
694C8—41no—
695C8—41no—
696C8—41no—
697C22—22no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—42no—
702C22—81no—
703C22—81no—
704C22—82no—
705C22—82no—
706C22—82no—
707C22—81no—
708C22—164no—
709C22#525×C10711yescharacteristic
710C22#546×C10711yescharacteristic
711C22#546×C10711yescharacteristic
712C4—22no—
713C4—41no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—81no—
718C4—81no—
719C4C2×#121×C10711yescharacteristic
720C4#538×C10711yescharacteristic
721C4D42×C10711yescharacteristic
722C4D42×C10711yescharacteristic
723C2—21no—
724C2—21no—
725C2—21no—
726C2—42no—
727C2—82no—
728C2—81no—
729C2—81no—
730C2C107×#242411yescharacteristic
subgroupG/H
center, socleC2×C107#2424
commutator, Frattini, cosocleC22×C4C24×C107
prime radicalC107×#3019C2
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×#455×C107C2semidirect
5. C107×#2956C2semidirect
6. C107×#2888C2semidirect
7. C107×#2069C2semidirect
8. C107×#2050C2semidirect
9. C107×#2049C2semidirect
10. C107×#2004C2semidirect
11. C107×#1967C2semidirect
12. C107×#1932C2semidirect
13. C107×#1914C2semidirect
14. C107×#1902C2semidirect
15. C107×#1861C2semidirect
21. C2×#137×C107C22semidirect
24. #568×C107C22semidirect
37. #430×C107C22semidirect
38. #430×C107C22semidirect
39. #430×C107C22semidirect
40. #423×C107C22semidirect
45. C2×#104×C107C22semidirect
46. #419×C107C22semidirect
50. #413×C107C22semidirect
51. C2×#101×C107C22semidirect
52. C2×#101×C107C22semidirect
58. C4×M16×C107C22semidirect
59. #344×C107C22semidirect
60. #344×C107C22semidirect
61. #339×C107C22semidirect
62. #338×C107C22semidirect
136. #104×C107D4semidirect
137. #104×C107D4semidirect
143. #101×C107D4semidirect
150. #100×C107D4semidirect
357. #25199C107direct (N × H)
366. #3069C2×C107semidirect
367. #3069C2×C107semidirect
369. C2×#455C2×C107semidirect
370. #2956C2×C107semidirect
371. #2888C2×C107semidirect
372. #2069C2×C107semidirect
373. #2050C2×C107semidirect
374. #2049C2×C107semidirect
375. #2004C2×C107semidirect
376. #1967C2×C107semidirect
377. #1932C2×C107semidirect
378. #1914C2×C107semidirect
379. #1902C2×C107semidirect
380. #1861C2×C107semidirect
381. C107#25199direct (N × H)
387. C2×#137C22×C107semidirect
390. #568C22×C107semidirect
403. #430C22×C107semidirect
404. #430C22×C107semidirect
405. #430C22×C107semidirect
406. #423C22×C107semidirect
411. C2×#104C22×C107semidirect
412. #419C22×C107semidirect
416. #413C22×C107semidirect
417. C2×#101C22×C107semidirect
418. C2×#101C22×C107semidirect
424. C4×M16C22×C107semidirect
425. #344C22×C107semidirect
426. #344C22×C107semidirect
427. #339C22×C107semidirect
428. #338C22×C107semidirect
502. #104D4×C107semidirect
503. #104D4×C107semidirect
509. #101D4×C107semidirect
516. #100D4×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#30692
C107×#30192
C2×#455×C1072
C107×#29562
C107×#28882
C107×#20692
C107×#20502
C107×#20492
C107×#20042
C107×#19672
C107×#19322
C107×#19142
C107×#19022
C107×#18612
#25199107