Finite Group Databasebeta

← C107×#29161 #41055125

Subgroups — C107×#29161 #41055125

Order 27392.

868 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×#2851C211yesmaximal, characteristic, complemented
2C4×#121×C107C211yesmaximal, characteristic
3C107×#2101C211yesmaximal, characteristic, complemented
4C107×#2092C211yesmaximal, characteristic, complemented
5C107×#2059C211yesmaximal, characteristic, complemented
6C107×#2025C211yesmaximal, characteristic, complemented
7C107×#1921C211yesmaximal, characteristic, complemented
8C107×#1919C211yesmaximal, characteristic, complemented
9C107×#1893C211yesmaximal, characteristic
10C107×#1893C211yesmaximal, characteristic
11C107×#1864C211yesmaximal, characteristic, complemented
12C107×#1862C211yesmaximal, characteristic, complemented
13C107×#1808C211yesmaximal, characteristic, complemented
14C107×#1807C211yesmaximal, characteristic, complemented
15C2×#336×C107C211yesmaximal, characteristic, complemented
16C23×C8×C107C2211yescharacteristic
17C23×C8×C107C2211yescharacteristic
18C2×#125×C107C2211yescharacteristic
19C2×#121×C107C2211yescharacteristic
20C2×C4×D4×C107—21no—
21C2×C4×D4×C107C2211yescharacteristic
22C22×C42×C107C2211yescharacteristic
23C2×#107×C107C2211yescharacteristic
24C2×#107×C107C2211yescharacteristic
25C2×#106×C107C2211yescharacteristic
26C2×#106×C107C2211yescharacteristic
27C2×#102×C107C2211yescharacteristic
28C2×#102×C107C2211yescharacteristic
29C2×#102×C107C2211yescharacteristic
30C2×#102×C107C2211yescharacteristic
31#390×C107C2211yescharacteristic
32#389×C107C2211yescharacteristic
33#389×C107C2211yescharacteristic
34#389×C107C2211yescharacteristic
35#388×C107—21no—
36#387×C107—21no—
37#387×C107—21no—
38#386×C107—21no—
39#385×C107—21no—
40#385×C107—21no—
41#382×C107C2211yescharacteristic
42#380×C107C2211yescharacteristic
43#380×C107C2211yescharacteristic
44#380×C107C2211yescharacteristic
45C4×C4⋊C4×C107C2211yescharacteristic
46C4×C22⋊C4×C107—21no—
47#340×C107C2211yescharacteristic
48#340×C107C2211yescharacteristic
49#340×C107C2211yescharacteristic
50#340×C107C2211yescharacteristic
51#340×C107C2211yescharacteristic
52#340×C107C2211yescharacteristic
53#340×C107C2211yescharacteristic
54#340×C107C2211yescharacteristic
55#336×C107C2211yescharacteristic
56#336×C107C2211yescharacteristic
57#336×C107C2211yescharacteristic
58#336×C107C2211yescharacteristic
59C22×D4×C107—21no—
60C22×D4×C107C2311yescharacteristic
61C23×C4×C107—21no—
62C23×C4×C107D411yescharacteristic
63C23×C4×C107D411yescharacteristic
64C23×C4×C107C2311yescharacteristic
65C22×C8×C107—22no—
66C22×C8×C107—22no—
67C22×C8×C107—22no—
68C22×C8×C107—22no—
69C22×C8×C107—41no—
70C22×C8×C107—41no—
71C22×C8×C107C2311yescharacteristic
72C22×C8×C107C2311yescharacteristic
73C22×C8×C107C2311yescharacteristic
74C22×C8×C107C2311yescharacteristic
75#125×C107—41no—
76#125×C107—41no—
77#121×C107—22no—
78#121×C107Q814yes—
79C4×D4×C107—41no—
80C4×D4×C107—41no—
81C4×D4×C107—44no—
82C2×C4⋊C4×C107—21no—
83C2×C4⋊C4×C107—21no—
84C2×C4⋊C4×C107—21no—
85C2×C4⋊C4×C107—21no—
86C2×C4⋊C4×C107—21no—
87C2×C4⋊C4×C107C2311yescharacteristic
88C2×C4⋊C4×C107C2311yescharacteristic
89C2×C4⋊C4×C107C2311yescharacteristic
90C2×C4⋊C4×C107C2311yescharacteristic
91C2×C4⋊C4×C107C2311yescharacteristic
92C2×C4⋊C4×C107C2311yescharacteristic
93C2×C4⋊C4×C107C2311yescharacteristic
94C2×C22⋊C4×C107—21no—
95C2×C22⋊C4×C107—21no—
96C2×C22⋊C4×C107—21no—
97C2×C22⋊C4×C107—21no—
98C2×C22⋊C4×C107—21no—
99C2×C22⋊C4×C107—21no—
100C2×C22⋊C4×C107—21no—
101C2×C42×C107—21no—
102C2×C42×C107—41no—
103C2×C42×C107—41no—
104C2×C42×C107D411yescharacteristic
105C2×C42×C107D411yescharacteristic
106C2×C42×C107C2311yescharacteristic
107C2×C42×C107C2311yescharacteristic
108#107×C107—22no—
109#107×C107—41no—
110#106×C107—22no—
111#106×C107—41no—
112#102×C107—22no—
113#102×C107—22no—
114#102×C107—41no—
115#102×C107—41no—
116#95×C107—21no—
117#95×C107—21no—
118#95×C107—21no—
119#95×C107—21no—
120#95×C107—21no—
121#95×C107—21no—
122#95×C107—21no—
123#95×C107—21no—
124#95×C107—21no—
125C24×C107—21no—
126C24×C107C2×D411yescharacteristic
127C2×D4×C107—24no—
128C2×D4×C107—21no—
129C2×D4×C107—21no—
130C2×D4×C107—21no—
131C2×D4×C107—21no—
132C2×D4×C107—21no—
133C2×D4×C107—42no—
134C2×D4×C107—42no—
135C2×D4×C107C2×Q812yes—
136C22×C4×C107—21no—
137C22×C4×C107—21no—
138C22×C4×C107—21no—
139C22×C4×C107—21no—
140C22×C4×C107—22no—
141C22×C4×C107—22no—
142C22×C4×C107—21no—
143C22×C4×C107—22no—
144C22×C4×C107—21no—
145C22×C4×C107—21no—
146C22×C4×C107—21no—
147C22×C4×C107—21no—
148C22×C4×C107—21no—
149C22×C4×C107—21no—
150C22×C4×C107—41no—
151C22×C4×C107—41no—
152C22×C4×C107—41no—
153C22×C4×C107—42no—
154C22×C4×C107—42no—
155C22×C4×C107—42no—
156C22×C4×C107C2×D411yescharacteristic
157C22×C4×C107C2×D411yescharacteristic
158C22×C4×C107C2×D411yescharacteristic
159C22×C4×C107C2×D411yescharacteristic
160C22×C4×C107C2×D411yescharacteristic
161C22×C4×C107C2×Q812yes—
162C22×C4×C107#4112yes—
163C22×C4×C107C2411yescharacteristic
164C2×C8×C107—21no—
165C2×C8×C107—21no—
166C2×C8×C107—21no—
167C2×C8×C107—21no—
168C2×C8×C107—21no—
169C2×C8×C107—21no—
170C2×C8×C107—21no—
171C2×C8×C107—21no—
172C2×C8×C107—21no—
173C2×C8×C107—21no—
174C2×C8×C107—44no—
175C2×C8×C107—44no—
176C2×C8×C107#4112yes—
177C2×C8×C107#4112yes—
178C4⋊C4×C107—21no—
179C4⋊C4×C107—21no—
180C4⋊C4×C107—21no—
181C4⋊C4×C107—21no—
182C4⋊C4×C107—21no—
183C4⋊C4×C107—21no—
184C4⋊C4×C107—21no—
185C4⋊C4×C107—21no—
186C4⋊C4×C107—21no—
187C4⋊C4×C107—21no—
188C4⋊C4×C107—21no—
189C4⋊C4×C107—21no—
190C4⋊C4×C107—21no—
191C4⋊C4×C107—42no—
192C4⋊C4×C107—42no—
193C4⋊C4×C107—42no—
194C4⋊C4×C107—42no—
195C4⋊C4×C107—42no—
196C4⋊C4×C107C2×Q812yes—
197C22⋊C4×C107—24no—
198C22⋊C4×C107—42no—
199C22⋊C4×C107—42no—
200C22⋊C4×C107—42no—
201C22⋊C4×C107—42no—
202C22⋊C4×C107—42no—
203C22⋊C4×C107—42no—
204C42×C107—21no—
205C42×C107—21no—
206C42×C107—21no—
207C42×C107—21no—
208C42×C107—41no—
209C42×C107—41no—
210C42×C107—42no—
211C23×C107—21no—
212C23×C107—21no—
213C23×C107—21no—
214C23×C107—21no—
215C23×C107—22no—
216C23×C107—41no—
217C23×C107—41no—
218C23×C107—41no—
219C23×C107—41no—
220C23×C107—41no—
221C23×C107—41no—
222C23×C107C22⋊Q812yes—
223C23×C107#13512yes—
224C23×C107AGL(1,ℤ/8)12yes—
225C23×C107C22×D411yescharacteristic
226D4×C107—22no—
227D4×C107—22no—
228D4×C107—48no—
229D4×C107—41no—
230D4×C107—41no—
231C2×C4×C107—21no—
232C2×C4×C107—21no—
233C2×C4×C107—21no—
234C2×C4×C107—21no—
235C2×C4×C107—22no—
236C2×C4×C107—22no—
237C2×C4×C107—22no—
238C2×C4×C107—22no—
239C2×C4×C107—22no—
240C2×C4×C107—21no—
241C2×C4×C107—21no—
242C2×C4×C107—21no—
243C2×C4×C107—21no—
244C2×C4×C107—21no—
245C2×C4×C107—21no—
246C2×C4×C107—21no—
247C2×C4×C107—21no—
248C2×C4×C107—21no—
249C2×C4×C107—44no—
250C2×C4×C107—44no—
251C2×C4×C107—41no—
252C2×C4×C107—41no—
253C2×C4×C107—41no—
254C2×C4×C107—41no—
255C2×C4×C107—41no—
256C2×C4×C107—41no—
257C2×C4×C107—41no—
258C2×C4×C107—41no—
259C2×C4×C107—41no—
260C2×C4×C107—41no—
261C2×C4×C107—41no—
262C2×C4×C107—41no—
263C2×C4×C107—41no—
264C2×C4×C107—41no—
265C2×C4×C107—41no—
266C2×C4×C107—41no—
267C2×C4×C107—41no—
268C2×C4×C107—41no—
269C2×C4×C107—41no—
270C2×C4×C107—41no—
271C2×C4×C107—84no—
272C2×C4×C107C22⋊Q812yes—
273C2×C4×C107#13512yes—
274C2×C4×C107C22×Q811yescharacteristic
275C2×C4×C107C2×#4111yescharacteristic
276C2×C4×C107C2×#4111yescharacteristic
277C2×C4×C107C2×#4111yescharacteristic
278C2×C4×C107H(5,𝔽2)11yescharacteristic
279C2×C4×C107H(5,𝔽2)11yescharacteristic
280C8×C107—22no—
281C8×C107—22no—
282C8×C107—41no—
283C8×C107—41no—
284C22×C107—22no—
285C22×C107—22no—
286C22×C107—22no—
287C22×C107—22no—
288C22×C107—22no—
289C22×C107—22no—
290C22×C107—42no—
291C22×C107—42no—
292C22×C107—42no—
293C22×C107—81no—
294C22×C107—81no—
295C22×C107—81no—
296C22×C107—81no—
297C22×C107#47814yes—
298C22×C107C2×C22⋊Q811yescharacteristic
299C22×C107#53211yescharacteristic
300C22×C107#53411yescharacteristic
301C22×C107C2×#13511yescharacteristic
302C22×C107C2×#13511yescharacteristic
303C22×C107C2×AGL(1,ℤ/8)11yescharacteristic
304C22×C107#57511yescharacteristic
305C4×C107—22no—
306C4×C107—22no—
307C4×C107—42no—
308C4×C107—41no—
309C4×C107—41no—
310C4×C107—41no—
311C4×C107—81no—
312C4×C107—81no—
313C4×C107—81no—
314C4×C107—81no—
315C4×C107—81no—
316C4×C107—81no—
317C4×C107#55111yescharacteristic
318C4×C107#55111yescharacteristic
319C4×C107#55411yescharacteristic
320C4×C107#55411yescharacteristic
321#29161C10711yesmaximal, characteristic, direct product factor, Sylow
322C2×C107—24no—
323C2×C107—82no—
324C2×C107#256411yescharacteristic
325C2×C107C2×#47811yescharacteristic
326C2×C107#307611yescharacteristic
327C2×C107#316811yescharacteristic
328C2×C107#318011yescharacteristic
329C2×C107#318811yescharacteristic
330C2×C107#319111yescharacteristic
331#2851C2×C10711yescharacteristic, complemented
332C4×#121C2×C10711yescharacteristic
333#2101C2×C10711yescharacteristic, complemented
334#2092C2×C10711yescharacteristic, complemented
335#2059C2×C10711yescharacteristic, complemented
336#2025C2×C10711yescharacteristic, complemented
337#1921C2×C10711yescharacteristic, complemented
338#1919C2×C10711yescharacteristic, complemented
339#1893C2×C10711yescharacteristic
340#1893C2×C10711yescharacteristic
341#1864C2×C10711yescharacteristic, complemented
342#1862C2×C10711yescharacteristic, complemented
343#1808C2×C10711yescharacteristic, complemented
344#1807C2×C10711yescharacteristic, complemented
345C2×#336C2×C10711yescharacteristic, complemented
346C107#2916111yescharacteristic, direct product factor, Sylow
347C23×C8C22×C10711yescharacteristic
348C23×C8C22×C10711yescharacteristic
349C2×#125C22×C10711yescharacteristic
350C2×#121C22×C10711yescharacteristic
351C2×C4×D4—21no—
352C2×C4×D4C22×C10711yescharacteristic
353C22×C42C22×C10711yescharacteristic
354C2×#107C22×C10711yescharacteristic
355C2×#107C22×C10711yescharacteristic
356C2×#106C22×C10711yescharacteristic
357C2×#106C22×C10711yescharacteristic
358C2×#102C22×C10711yescharacteristic
359C2×#102C22×C10711yescharacteristic
360C2×#102C22×C10711yescharacteristic
361C2×#102C22×C10711yescharacteristic
362#390C22×C10711yescharacteristic
363#389C22×C10711yescharacteristic
364#389C22×C10711yescharacteristic
365#389C22×C10711yescharacteristic
366#388—21no—
367#387—21no—
368#387—21no—
369#386—21no—
370#385—21no—
371#385—21no—
372#382C22×C10711yescharacteristic
373#380C22×C10711yescharacteristic
374#380C22×C10711yescharacteristic
375#380C22×C10711yescharacteristic
376C4×C4⋊C4C22×C10711yescharacteristic
377C4×C22⋊C4—21no—
378#340C22×C10711yescharacteristic
379#340C22×C10711yescharacteristic
380#340C22×C10711yescharacteristic
381#340C22×C10711yescharacteristic
382#340C22×C10711yescharacteristic
383#340C22×C10711yescharacteristic
384#340C22×C10711yescharacteristic
385#340C22×C10711yescharacteristic
386#336C22×C10711yescharacteristic
387#336C22×C10711yescharacteristic
388#336C22×C10711yescharacteristic
389#336C22×C10711yescharacteristic
390C22×D4—21no—
391C22×D4C23×C10711yescharacteristic
392C23×C4—21no—
393C23×C4D4×C10711yescharacteristic
394C23×C4D4×C10711yescharacteristic
395C23×C4C23×C10711yescharacteristic
396C22×C8—22no—
397C22×C8—22no—
398C22×C8—22no—
399C22×C8—22no—
400C22×C8—41no—
401C22×C8—41no—
402C22×C8C23×C10711yescharacteristic
403C22×C8C23×C10711yescharacteristic
404C22×C8C23×C10711yescharacteristic
405C22×C8C23×C10711yescharacteristic
406#125—41no—
407#125—41no—
408#121—22no—
409#121Q8×C10714yes—
410C4×D4—41no—
411C4×D4—41no—
412C4×D4—44no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4C23×C10711yescharacteristic
419C2×C4⋊C4C23×C10711yescharacteristic
420C2×C4⋊C4C23×C10711yescharacteristic
421C2×C4⋊C4C23×C10711yescharacteristic
422C2×C4⋊C4C23×C10711yescharacteristic
423C2×C4⋊C4C23×C10711yescharacteristic
424C2×C4⋊C4C23×C10711yescharacteristic
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C42—21no—
433C2×C42—41no—
434C2×C42—41no—
435C2×C42D4×C10711yescharacteristic
436C2×C42D4×C10711yescharacteristic
437C2×C42C23×C10711yescharacteristic
438C2×C42C23×C10711yescharacteristic
439#107—22no—
440#107—41no—
441#106—22no—
442#106—41no—
443#102—22no—
444#102—22no—
445#102—41no—
446#102—41no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456C24—21no—
457C24C2×D4×C10711yescharacteristic
458C2×D4—24no—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—42no—
465C2×D4—42no—
466C2×D4C2×Q8×C10712yes—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—41no—
482C22×C4—41no—
483C22×C4—41no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4C2×D4×C10711yescharacteristic
488C22×C4C2×D4×C10711yescharacteristic
489C22×C4C2×D4×C10711yescharacteristic
490C22×C4C2×D4×C10711yescharacteristic
491C22×C4C2×D4×C10711yescharacteristic
492C22×C4C2×Q8×C10712yes—
493C22×C4#41×C10712yes—
494C22×C4C24×C10711yescharacteristic
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—44no—
506C2×C8—44no—
507C2×C8#41×C10712yes—
508C2×C8#41×C10712yes—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—42no—
523C4⋊C4—42no—
524C4⋊C4—42no—
525C4⋊C4—42no—
526C4⋊C4—42no—
527C4⋊C4C2×Q8×C10712yes—
528C22⋊C4—24no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C42—21no—
536C42—21no—
537C42—21no—
538C42—21no—
539C42—41no—
540C42—41no—
541C42—42no—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—22no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23C22⋊Q8×C10712yes—
554C23#135×C10712yes—
555C23AGL(1,ℤ/8)×C10712yes—
556C23C22×D4×C10711yescharacteristic
557D4—22no—
558D4—22no—
559D4—48no—
560D4—41no—
561D4—41no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—44no—
581C2×C4—44no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—84no—
603C2×C4C22⋊Q8×C10712yes—
604C2×C4#135×C10712yes—
605C2×C4C22×Q8×C10711yescharacteristic
606C2×C4C2×#41×C10711yescharacteristic
607C2×C4C2×#41×C10711yescharacteristic
608C2×C4C2×#41×C10711yescharacteristic
609C2×C4H(5,𝔽2)×C10711yescharacteristic
610C2×C4H(5,𝔽2)×C10711yescharacteristic
611C8—22no—
612C8—22no—
613C8—41no—
614C8—41no—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22#478×C10714yes—
629C22C2×C22⋊Q8×C10711yescharacteristic
630C22#532×C10711yescharacteristic
631C22#534×C10711yescharacteristic
632C22C2×#135×C10711yescharacteristic
633C22C2×#135×C10711yescharacteristic
634C22C2×AGL(1,ℤ/8)×C10711yescharacteristic
635C22#575×C10711yescharacteristic
636C4—22no—
637C4—22no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—42no—
642C4—81no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4#551×C10711yescharacteristic
649C4#551×C10711yescharacteristic
650C4#554×C10711yescharacteristic
651C4#554×C10711yescharacteristic
652C2—24no—
653C2—82no—
654C2C107×#256411yescharacteristic
655C2C2×#478×C10711yescharacteristic
656C2C107×#307611yescharacteristic
657C2C107×#316811yescharacteristic
658C2C107×#318011yescharacteristic
659C2C107×#318811yescharacteristic
660C2C107×#319111yescharacteristic
subgroupG/H
center, socleC23×C107C22×D4
commutator, Frattini, cosocleC22×C4C24×C107
prime radicalC2×#121×C107C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C107 ◁ C22×C42×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C107×#2851C2semidirect
3. C107×#2101C2semidirect
4. C107×#2092C2semidirect
5. C107×#2059C2semidirect
6. C107×#2025C2semidirect
7. C107×#1921C2semidirect
8. C107×#1919C2semidirect
11. C107×#1864C2semidirect
12. C107×#1862C2semidirect
13. C107×#1808C2semidirect
14. C107×#1807C2semidirect
15. C2×#336×C107C2semidirect
321. #29161C107direct (N × H)
331. #2851C2×C107semidirect
333. #2101C2×C107semidirect
334. #2092C2×C107semidirect
335. #2059C2×C107semidirect
336. #2025C2×C107semidirect
337. #1921C2×C107semidirect
338. #1919C2×C107semidirect
341. #1864C2×C107semidirect
342. #1862C2×C107semidirect
343. #1808C2×C107semidirect
344. #1807C2×C107semidirect
345. C2×#336C2×C107semidirect
346. C107#29161direct (N × H)

Maximal subgroups

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

subgroupindex
C107×#28512
C4×#121×C1072
C107×#21012
C107×#20922
C107×#20592
C107×#20252
C107×#19212
C107×#19192
C107×#18932
C107×#18642
C107×#18622
C107×#18082
C107×#18072
C2×#336×C1072
#29161107