Finite Group Databasebeta

← C107×#25197 #41051161

Subgroups — C107×#25197 #41051161

Order 27392.

968 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#3068C211yesmaximal, characteristic, complemented
2C107×#3068C211yesmaximal, characteristic, complemented
3C107×#3020C211yesmaximal, characteristic, complemented
4C2×#454×C107C211yesmaximal, characteristic, complemented
5C107×#2956C211yesmaximal, characteristic, complemented
6C107×#2889C211yesmaximal, characteristic, complemented
7C107×#2070C211yesmaximal, characteristic, complemented
8C107×#2050C211yesmaximal, characteristic, complemented
9C107×#2048C211yesmaximal, characteristic, complemented
10C107×#2003C211yesmaximal, characteristic, complemented
11C107×#1967C211yesmaximal, characteristic, complemented
12C107×#1932C211yesmaximal, characteristic, complemented
13C107×#1915C211yesmaximal, characteristic, complemented
14C107×#1903C211yesmaximal, characteristic, complemented
15C107×#1861C211yesmaximal, characteristic, complemented
16C2×2−1+4×C107C2211yescharacteristic
17#575×C107C2211yescharacteristic
18#575×C107C2211yescharacteristic
19C2×AGL(1,ℤ/8)×C107C2211yescharacteristic
20C2×AGL(1,ℤ/8)×C107C2211yescharacteristic
21C2×AGL(1,ℤ/8)×C107C2211yescharacteristic
22#568×C107C2211yescharacteristic
23#568×C107C2211yescharacteristic
24#568×C107C2211yescharacteristic
25#536×C107C2211yescharacteristic
26C2×#124×C107C2211yescharacteristic
27#472×C107—22no—
28#472×C107—22no—
29#471×C107—22no—
30#471×C107—22no—
31#456×C107—22no—
32#454×C107—22no—
33#454×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#418×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×#100×C107C2211yescharacteristic
57C2×#100×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×D4×C107C2311yescharacteristic
77#137×C107—21no—
78#137×C107—21no—
79#137×C107—21no—
80#137×C107D412yes—
81AGL(1,ℤ/8)×C107—21no—
82AGL(1,ℤ/8)×C107—22no—
83AGL(1,ℤ/8)×C107—22no—
84AGL(1,ℤ/8)×C107—21no—
85AGL(1,ℤ/8)×C107—21no—
86AGL(1,ℤ/8)×C107—22no—
87AGL(1,ℤ/8)×C107—22no—
88AGL(1,ℤ/8)×C107—41no—
89AGL(1,ℤ/8)×C107—41no—
90AGL(1,ℤ/8)×C107D412yes—
91#135×C107—22no—
92#135×C107—41no—
93C2×SD16×C107—21no—
94C2×SD16×C107—21no—
95C2×SD16×C107—21no—
96C2×D8×C107—21no—
97C2×D8×C107—21no—
98C2×D8×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—
117#124×C107—21no—
118#124×C107—21no—
119#124×C107—21no—
120#124×C107—41no—
121#123×C107—22no—
122C22⋊Q8×C107—41no—
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×C107D412yes—
137#104×C107D412yes—
138#102×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×C107D412yes—
146#100×C107—21no—
147#100×C107—21no—
148#100×C107—22no—
149#100×C107—22no—
150#100×C107D412yes—
151#97×C107—21no—
152C4×C8×C107—21no—
153C24×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—21no—
164#41×C107—42no—
165#41×C107—42no—
166#41×C107—44no—
167#41×C107—44no—
168#41×C107—42no—
169#41×C107—42no—
170#41×C107C2×D412yes—
171#41×C107C2×D412yes—
172C2×Q8×C107—22no—
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—42no—
180C2×Q8×C107—42no—
181C2×Q8×C107—42no—
182C2×Q8×C107—42no—
183C2×Q8×C107C2×D411yescharacteristic
184C2×Q8×C107C2×D411yescharacteristic
185C2×Q8×C107#4111yescharacteristic
186C2×D4×C107—21no—
187C2×D4×C107—22no—
188C2×D4×C107—21no—
189C2×D4×C107—21no—
190C2×D4×C107—21no—
191C2×D4×C107—21no—
192C2×D4×C107—21no—
193C2×D4×C107—21no—
194C2×D4×C107—21no—
195C2×D4×C107—21no—
196C2×D4×C107C2×D411yescharacteristic
197C2×D4×C107C2×D411yescharacteristic
198C2×D4×C107#4111yescharacteristic
199C22×C4×C107—21no—
200C22×C4×C107—22no—
201C22×C4×C107—22no—
202C22×C4×C107—21no—
203C22×C4×C107—21no—
204C22×C4×C107—21no—
205C22×C4×C107#4112yes—
206C22×C4×C107C2411yescharacteristic
207Q16×C107—22no—
208Q16×C107—41no—
209SD16×C107—22no—
210SD16×C107—22no—
211SD16×C107—42no—
212SD16×C107—42no—
213SD16×C107—41no—
214SD16×C107—41no—
215SD16×C107—42no—
216D8×C107—22no—
217D8×C107—42no—
218D8×C107—42no—
219D8×C107—41no—
220D8×C107—42no—
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—
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—21no—
263C23×C107—21no—
264C23×C107—41no—
265C23×C107—41no—
266C23×C107—41no—
267C23×C107—82no—
268C23×C107C2×#4111yescharacteristic
269Q8×C107—21no—
270Q8×C107—21no—
271Q8×C107—21no—
272Q8×C107—21no—
273Q8×C107—21no—
274Q8×C107—44no—
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—41no—
293D4×C107—41no—
294D4×C107—41no—
295D4×C107—41no—
296D4×C107#12112yes—
297C2×C4×C107—21no—
298C2×C4×C107—22no—
299C2×C4×C107—22no—
300C2×C4×C107—21no—
301C2×C4×C107—22no—
302C2×C4×C107—21no—
303C2×C4×C107—21no—
304C2×C4×C107—22no—
305C2×C4×C107—22no—
306C2×C4×C107—21no—
307C2×C4×C107—44no—
308C2×C4×C107—44no—
309C2×C4×C107—41no—
310C2×C4×C107—41no—
311C2×C4×C107—41no—
312C2×C4×C107—41no—
313C2×C4×C107—41no—
314C2×C4×C107—81no—
315C2×C4×C107C22×D411yescharacteristic
316C2×C4×C107C22×D411yescharacteristic
317C2×C4×C107C22×D411yescharacteristic
318C2×C4×C107C2×#4111yescharacteristic
319C2×C4×C107H(5,𝔽2)11yescharacteristic
320C2×C4×C107H(5,𝔽2)11yescharacteristic
321C8×C107—22no—
322C8×C107—22no—
323C8×C107—22no—
324C8×C107—22no—
325C8×C107—41no—
326C8×C107—41no—
327C8×C107—41no—
328C8×C107—41no—
329C22×C107—22no—
330C22×C107—41no—
331C22×C107—41no—
332C22×C107—41no—
333C22×C107—81no—
334C22×C107—81no—
335C22×C107—81no—
336C22×C107—82no—
337C22×C107—81no—
338C22×C107—161no—
339C22×C107—161no—
340C22×C107#52511yescharacteristic
341C22×C107#54611yescharacteristic
342C22×C107#54611yescharacteristic
343C4×C107—22no—
344C4×C107—41no—
345C4×C107—41no—
346C4×C107—42no—
347C4×C107—41no—
348C4×C107—41no—
349C4×C107—81no—
350C4×C107C2×#12111yescharacteristic
351C4×C107#53811yescharacteristic
352C4×C107D4211yescharacteristic
353C4×C107D4211yescharacteristic
354#25197C10711yesmaximal, characteristic, direct product factor, Sylow
355C2×C107—21no—
356C2×C107—21no—
357C2×C107—21no—
358C2×C107—42no—
359C2×C107—81no—
360C2×C107—81no—
361C2×C107—161no—
362C2×C107#242411yescharacteristic
363#3068C2×C10711yescharacteristic, complemented
364#3068C2×C10711yescharacteristic, complemented
365#3020C2×C10711yescharacteristic, complemented
366C2×#454C2×C10711yescharacteristic, complemented
367#2956C2×C10711yescharacteristic, complemented
368#2889C2×C10711yescharacteristic, complemented
369#2070C2×C10711yescharacteristic, complemented
370#2050C2×C10711yescharacteristic, complemented
371#2048C2×C10711yescharacteristic, complemented
372#2003C2×C10711yescharacteristic, complemented
373#1967C2×C10711yescharacteristic, complemented
374#1932C2×C10711yescharacteristic, complemented
375#1915C2×C10711yescharacteristic, complemented
376#1903C2×C10711yescharacteristic, complemented
377#1861C2×C10711yescharacteristic, complemented
378C107#2519711yescharacteristic, direct product factor, Sylow
379C2×2−1+4C22×C10711yescharacteristic
380#575C22×C10711yescharacteristic
381#575C22×C10711yescharacteristic
382C2×AGL(1,ℤ/8)C22×C10711yescharacteristic
383C2×AGL(1,ℤ/8)C22×C10711yescharacteristic
384C2×AGL(1,ℤ/8)C22×C10711yescharacteristic
385#568C22×C10711yescharacteristic
386#568C22×C10711yescharacteristic
387#568C22×C10711yescharacteristic
388#536C22×C10711yescharacteristic
389C2×#124C22×C10711yescharacteristic
390#472—22no—
391#472—22no—
392#471—22no—
393#471—22no—
394#456—22no—
395#454—22no—
396#454—22no—
397#454—22no—
398#444—22no—
399#443—22no—
400#430C22×C10711yescharacteristic
401#430C22×C10711yescharacteristic
402#430C22×C10711yescharacteristic
403#423C22×C10711yescharacteristic
404#421C22×C10711yescharacteristic
405#421C22×C10711yescharacteristic
406C2×#104C22×C10711yescharacteristic
407C2×#104C22×C10711yescharacteristic
408C2×#104C22×C10711yescharacteristic
409#418C22×C10711yescharacteristic
410#413—22no—
411#413C22×C10711yescharacteristic
412#413C22×C10711yescharacteristic
413#413C22×C10711yescharacteristic
414C2×#101—22no—
415C2×#101C22×C10711yescharacteristic
416C2×#101C22×C10711yescharacteristic
417C2×#101C22×C10711yescharacteristic
418C2×#101C22×C10711yescharacteristic
419C2×#100C22×C10711yescharacteristic
420C2×#100C22×C10711yescharacteristic
421C4×M16C22×C10711yescharacteristic
422#344C22×C10711yescharacteristic
423#344C22×C10711yescharacteristic
424#339C22×C10711yescharacteristic
425#338C22×C10711yescharacteristic
4262−1+4—22no—
4272−1+4—22no—
4282−1+4—41no—
4292−1+4—41no—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—22no—
433C2×#41C23×C10711yescharacteristic
434C2×#41C23×C10711yescharacteristic
435C2×#41C23×C10711yescharacteristic
436C22×Q8—21no—
437C22×Q8—21no—
438C22×Q8C23×C10711yescharacteristic
439C22×D4C23×C10711yescharacteristic
440#137—21no—
441#137—21no—
442#137—21no—
443#137D4×C10712yes—
444AGL(1,ℤ/8)—21no—
445AGL(1,ℤ/8)—22no—
446AGL(1,ℤ/8)—22no—
447AGL(1,ℤ/8)—21no—
448AGL(1,ℤ/8)—21no—
449AGL(1,ℤ/8)—22no—
450AGL(1,ℤ/8)—22no—
451AGL(1,ℤ/8)—41no—
452AGL(1,ℤ/8)—41no—
453AGL(1,ℤ/8)D4×C10712yes—
454#135—22no—
455#135—41no—
456C2×SD16—21no—
457C2×SD16—21no—
458C2×SD16—21no—
459C2×D8—21no—
460C2×D8—21no—
461C2×D8—21no—
462#131—22no—
463#131—22no—
464#131—22no—
465#131—22no—
466#131—41no—
467#131—41no—
468C2×M16—22no—
469C2×M16—22no—
470C2×M16—41no—
471C2×M16C23×C10711yescharacteristic
472C2×M16C23×C10711yescharacteristic
473C2×M16C23×C10711yescharacteristic
474C2×M16C23×C10711yescharacteristic
475C2×M16C23×C10711yescharacteristic
476C2×M16C23×C10711yescharacteristic
477C2×M16C23×C10711yescharacteristic
478C2×M16C23×C10711yescharacteristic
479C4⋊Q8—21no—
480#124—21no—
481#124—21no—
482#124—21no—
483#124—41no—
484#123—22no—
485C22⋊Q8—41no—
486#117C23×C10711yescharacteristic
487C2×C22⋊C4—22no—
488C2×C42C23×C10711yescharacteristic
489#108—22no—
490#108—22no—
491#108—22no—
492C4⋊C8—41no—
493#104—22no—
494#104—22no—
495#104—21no—
496#104—21no—
497#104—21no—
498#104—21no—
499#104D4×C10712yes—
500#104D4×C10712yes—
501#102—41no—
502#101—21no—
503#101—21no—
504#101—22no—
505#101—22no—
506#101—22no—
507#101—22no—
508#101D4×C10712yes—
509#100—21no—
510#100—21no—
511#100—22no—
512#100—22no—
513#100D4×C10712yes—
514#97—21no—
515C4×C8—21no—
516C24—21no—
517#41—21no—
518#41—21no—
519#41—21no—
520#41—21no—
521#41—21no—
522#41—21no—
523#41—21no—
524#41—21no—
525#41—21no—
526#41—21no—
527#41—42no—
528#41—42no—
529#41—44no—
530#41—44no—
531#41—42no—
532#41—42no—
533#41C2×D4×C10712yes—
534#41C2×D4×C10712yes—
535C2×Q8—22no—
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×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4C2×D4×C10711yescharacteristic
560C2×D4C2×D4×C10711yescharacteristic
561C2×D4#41×C10711yescharacteristic
562C22×C4—21no—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4#41×C10712yes—
569C22×C4C24×C10711yescharacteristic
570Q16—22no—
571Q16—41no—
572SD16—22no—
573SD16—22no—
574SD16—42no—
575SD16—42no—
576SD16—41no—
577SD16—41no—
578SD16—42no—
579D8—22no—
580D8—42no—
581D8—42no—
582D8—41no—
583D8—42no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—21no—
592M16—21no—
593M16—21no—
594M16—21no—
595M16—21no—
596M16—42no—
597M16—42no—
598M16—42no—
599M16C2×D4×C10712yes—
600M16C2×D4×C10712yes—
601M16C2×D4×C10712yes—
602M16C2×D4×C10712yes—
603C2×C8—21no—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—21no—
611C2×C8—42no—
612C2×C8—42no—
613C2×C8—42no—
614C4⋊C4—21no—
615C4⋊C4—42no—
616C22⋊C4—21no—
617C22⋊C4—42no—
618C22⋊C4—42no—
619C22⋊C4—42no—
620C42—21no—
621C42—21no—
622C42C2×D4×C10711yescharacteristic
623C42C2×D4×C10711yescharacteristic
624C23—21no—
625C23—21no—
626C23—21no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—82no—
631C23C2×#41×C10711yescharacteristic
632Q8—21no—
633Q8—21no—
634Q8—21no—
635Q8—21no—
636Q8—21no—
637Q8—44no—
638Q8—41no—
639Q8—41no—
640Q8—41no—
641Q8—41no—
642Q8#121×C10712yes—
643D4—22no—
644D4—22no—
645D4—21no—
646D4—21no—
647D4—21no—
648D4—21no—
649D4—21no—
650D4—44no—
651D4—41no—
652D4—41no—
653D4—41no—
654D4—41no—
655D4—41no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4#121×C10712yes—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—81no—
678C2×C4C22×D4×C10711yescharacteristic
679C2×C4C22×D4×C10711yescharacteristic
680C2×C4C22×D4×C10711yescharacteristic
681C2×C4C2×#41×C10711yescharacteristic
682C2×C4H(5,𝔽2)×C10711yescharacteristic
683C2×C4H(5,𝔽2)×C10711yescharacteristic
684C8—22no—
685C8—22no—
686C8—22no—
687C8—22no—
688C8—41no—
689C8—41no—
690C8—41no—
691C8—41no—
692C22—22no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—82no—
700C22—81no—
701C22—161no—
702C22—161no—
703C22#525×C10711yescharacteristic
704C22#546×C10711yescharacteristic
705C22#546×C10711yescharacteristic
706C4—22no—
707C4—41no—
708C4—41no—
709C4—42no—
710C4—41no—
711C4—41no—
712C4—81no—
713C4C2×#121×C10711yescharacteristic
714C4#538×C10711yescharacteristic
715C4D42×C10711yescharacteristic
716C4D42×C10711yescharacteristic
717C2—21no—
718C2—21no—
719C2—21no—
720C2—42no—
721C2—81no—
722C2—81no—
723C2—161no—
724C2C107×#242411yescharacteristic
subgroupG/H
center, socleC2×C107#2424
commutator, Frattini, cosocleC22×C4C24×C107
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×#3068C2semidirect
2. C107×#3068C2semidirect
3. C107×#3020C2semidirect
4. C2×#454×C107C2semidirect
5. C107×#2956C2semidirect
6. C107×#2889C2semidirect
7. C107×#2070C2semidirect
8. C107×#2050C2semidirect
9. C107×#2048C2semidirect
10. C107×#2003C2semidirect
11. C107×#1967C2semidirect
12. C107×#1932C2semidirect
13. C107×#1915C2semidirect
14. C107×#1903C2semidirect
15. C107×#1861C2semidirect
354. #25197C107direct (N × H)
363. #3068C2×C107semidirect
364. #3068C2×C107semidirect
365. #3020C2×C107semidirect
366. C2×#454C2×C107semidirect
367. #2956C2×C107semidirect
368. #2889C2×C107semidirect
369. #2070C2×C107semidirect
370. #2050C2×C107semidirect
371. #2048C2×C107semidirect
372. #2003C2×C107semidirect
373. #1967C2×C107semidirect
374. #1932C2×C107semidirect
375. #1915C2×C107semidirect
376. #1903C2×C107semidirect
377. #1861C2×C107semidirect
378. C107#25197direct (N × H)

Maximal subgroups

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

subgroupindex
C107×#30682
C107×#30202
C2×#454×C1072
C107×#29562
C107×#28892
C107×#20702
C107×#20502
C107×#20482
C107×#20032
C107×#19672
C107×#19322
C107×#19152
C107×#19032
C107×#18612
#25197107