Finite Group Databasebeta

← C107×#32673 #41058637

Subgroups — C107×#32673 #41058637

Order 27392.

738 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×#2592C211yesmaximal, characteristic
2C107×#2568C211yesmaximal, characteristic, complemented
3C107×#2056C211yesmaximal, characteristic, complemented
4C107×#2055C211yesmaximal, characteristic
5C107×#2016C211yesmaximal, characteristic, complemented
6C107×#2015C211yesmaximal, characteristic
7C107×#2015C211yesmaximal, characteristic
8C107×#2013C211yesmaximal, characteristic
9C107×#1984C211yesmaximal, characteristic, complemented
10C107×#1969C211yesmaximal, characteristic, complemented
11C107×#1968C211yesmaximal, characteristic
12C107×#1928C211yesmaximal, characteristic, complemented
13C107×#1927C211yesmaximal, characteristic, complemented
14C107×#1927C211yesmaximal, characteristic, complemented
15C107×#1925C211yesmaximal, characteristic
16C22×Q16×C107C2211yescharacteristic
17C22×Q16×C107C2211yescharacteristic
18C22×SD16×C107C2211yescharacteristic
19C22×SD16×C107C2211yescharacteristic
20C2×C4⋊Q8×C107C2211yescharacteristic
21C2×#124×C107C2211yescharacteristic
22C2×C4×Q8×C107C2211yescharacteristic
23C2×#107×C107C2211yescharacteristic
24C2×#106×C107C2211yescharacteristic
25C2×C4⋊C8×C107C2211yescharacteristic
26C2×#103×C107C2211yescharacteristic
27C2×#103×C107C2211yescharacteristic
28C2×#103×C107C2211yescharacteristic
29C2×#103×C107C2211yescharacteristic
30C2×#103×C107C2211yescharacteristic
31C2×#103×C107C2211yescharacteristic
32C2×#102×C107C2211yescharacteristic
33C2×#102×C107C2211yescharacteristic
34C2×C4×C8×C107C2211yescharacteristic
35#400×C107—21no—
36#400×C107—21no—
37#397×C107—21no—
38#393×C107—21no—
39#391×C107—21no—
40#391×C107C2211yescharacteristic
41#391×C107C2211yescharacteristic
42#391×C107C2211yescharacteristic
43#391×C107C2211yescharacteristic
44#391×C107C2211yescharacteristic
45#391×C107C2211yescharacteristic
46#390×C107C2211yescharacteristic
47#390×C107C2211yescharacteristic
48#388×C107—21no—
49#388×C107—21no—
50#382×C107—21no—
51C4×C4⋊C4×C107C2211yescharacteristic
52C4×C4⋊C4×C107C2211yescharacteristic
53#340×C107C2211yescharacteristic
54#340×C107C2211yescharacteristic
55#336×C107C2211yescharacteristic
56#336×C107C2211yescharacteristic
57#336×C107C2211yescharacteristic
58#336×C107C2211yescharacteristic
59C22×Q8×C107D411yescharacteristic
60C22×Q8×C107C2311yescharacteristic
61C22×Q8×C107C2311yescharacteristic
62C22×Q8×C107C2311yescharacteristic
63C22×D4×C107C2311yescharacteristic
64C2×Q16×C107—22no—
65C2×Q16×C107—41no—
66C2×Q16×C107—41no—
67C2×Q16×C107—41no—
68C2×Q16×C107—41no—
69C2×Q16×C107—41no—
70C2×SD16×C107—22no—
71C2×SD16×C107—41no—
72C2×SD16×C107—41no—
73C2×SD16×C107—41no—
74C2×SD16×C107—41no—
75C2×SD16×C107—41no—
76C22×C8×C107C2311yescharacteristic
77C22×C8×C107C2311yescharacteristic
78C22×C8×C107C2311yescharacteristic
79C22×C8×C107C2311yescharacteristic
80C4⋊Q8×C107—41no—
81C4⋊Q8×C107—41no—
82#124×C107—41no—
83#124×C107—41no—
84C4×Q8×C107—41no—
85C4×Q8×C107—41no—
86C2×C4⋊C4×C107—21no—
87C2×C4⋊C4×C107—21no—
88C2×C4⋊C4×C107D411yescharacteristic
89C2×C4⋊C4×C107D411yescharacteristic
90C2×C4⋊C4×C107D411yescharacteristic
91C2×C4⋊C4×C107C2311yescharacteristic
92C2×C4⋊C4×C107C2311yescharacteristic
93C2×C4⋊C4×C107C2311yescharacteristic
94C2×C4⋊C4×C107C2311yescharacteristic
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—21no—
103C2×C42×C107C2311yescharacteristic
104C2×C42×C107C2311yescharacteristic
105C2×C42×C107C2311yescharacteristic
106#107×C107—41no—
107#106×C107—41no—
108C4⋊C8×C107—41no—
109#103×C107—22no—
110#103×C107—22no—
111#103×C107—22no—
112#103×C107—41no—
113#103×C107—41no—
114#103×C107—41no—
115#102×C107—22no—
116#102×C107—41no—
117C4×C8×C107—41no—
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—
125#95×C107—21no—
126#95×C107—21no—
127#95×C107—21no—
128#95×C107—21no—
129#95×C107—21no—
130#95×C107—21no—
131#95×C107—21no—
132C24×C107—21no—
133C2×Q8×C107—22no—
134C2×Q8×C107—22no—
135C2×Q8×C107—21no—
136C2×Q8×C107—21no—
137C2×Q8×C107—21no—
138C2×Q8×C107—21no—
139C2×Q8×C107—21no—
140C2×Q8×C107—21no—
141C2×Q8×C107—21no—
142C2×Q8×C107—21no—
143C2×Q8×C107—21no—
144C2×Q8×C107—21no—
145C2×Q8×C107—21no—
146C2×Q8×C107—21no—
147C2×Q8×C107—21no—
148C2×Q8×C107—21no—
149C2×Q8×C107—21no—
150C2×Q8×C107—21no—
151C2×Q8×C107—21no—
152C2×Q8×C107—21no—
153C2×Q8×C107—41no—
154C2×D4×C107—21no—
155C2×D4×C107—21no—
156C2×D4×C107—21no—
157C2×D4×C107—21no—
158C2×D4×C107—21no—
159C2×D4×C107—21no—
160C22×C4×C107—21no—
161C22×C4×C107—21no—
162C22×C4×C107—21no—
163C22×C4×C107—21no—
164C22×C4×C107—21no—
165C22×C4×C107—21no—
166C22×C4×C107—21no—
167C22×C4×C107C2×D411yescharacteristic
168C22×C4×C107C2×D411yescharacteristic
169C22×C4×C107C2×D411yescharacteristic
170C22×C4×C107C2×D411yescharacteristic
171C22×C4×C107C2×D411yescharacteristic
172C22×C4×C107C2×D411yescharacteristic
173C22×C4×C107C2411yescharacteristic
174Q16×C107—44no—
175Q16×C107—44no—
176SD16×C107—44no—
177SD16×C107—44no—
178C2×C8×C107—21no—
179C2×C8×C107—21no—
180C2×C8×C107—21no—
181C2×C8×C107—21no—
182C2×C8×C107—21no—
183C2×C8×C107—21no—
184C2×C8×C107—21no—
185C2×C8×C107—21no—
186C2×C8×C107—21no—
187C2×C8×C107—21no—
188C2×C8×C107#4112yes—
189C2×C8×C107#4112yes—
190C4⋊C4×C107—21no—
191C4⋊C4×C107—21no—
192C4⋊C4×C107—21no—
193C4⋊C4×C107—21no—
194C4⋊C4×C107—21no—
195C4⋊C4×C107—21no—
196C4⋊C4×C107—21no—
197C4⋊C4×C107—21no—
198C4⋊C4×C107—41no—
199C4⋊C4×C107—41no—
200C4⋊C4×C107—41no—
201C4⋊C4×C107—42no—
202C4⋊C4×C107—42no—
203C22⋊C4×C107—42no—
204C22⋊C4×C107—42no—
205C22⋊C4×C107—42no—
206C22⋊C4×C107—42no—
207C22⋊C4×C107—81no—
208C22⋊C4×C107—81no—
209C42×C107—21no—
210C42×C107—21no—
211C42×C107—21no—
212C42×C107—21no—
213C42×C107—21no—
214C42×C107—21no—
215C42×C107—42no—
216C42×C107—81no—
217C23×C107—41no—
218C23×C107—41no—
219C23×C107—41no—
220C23×C107—41no—
221C23×C107—41no—
222C23×C107—41no—
223C23×C107—41no—
224C23×C107C22×D411yescharacteristic
225Q8×C107—44no—
226Q8×C107—41no—
227Q8×C107—41no—
228Q8×C107—41no—
229Q8×C107—41no—
230Q8×C107—41no—
231Q8×C107—41no—
232Q8×C107—41no—
233Q8×C107—41no—
234Q8×C107—41no—
235Q8×C107—41no—
236Q8×C107—41no—
237Q8×C107—41no—
238D4×C107—41no—
239D4×C107—41no—
240D4×C107—41no—
241D4×C107—41no—
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—21no—
250C2×C4×C107—21no—
251C2×C4×C107—21no—
252C2×C4×C107—21no—
253C2×C4×C107—21no—
254C2×C4×C107—21no—
255C2×C4×C107—21no—
256C2×C4×C107—21no—
257C2×C4×C107—21no—
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—41no—
272C2×C4×C107—41no—
273C2×C4×C107—41no—
274C2×C4×C107—41no—
275C2×C4×C107—41no—
276C2×C4×C107—41no—
277C2×C4×C107—41no—
278C2×C4×C107—41no—
279C2×C4×C107#13512yes—
280C2×C4×C107#13712yes—
281C2×C4×C107C2×#4111yescharacteristic
282C2×C4×C107C2×#4111yescharacteristic
283C2×C4×C107H(5,𝔽2)11yescharacteristic
284C2×C4×C107H(5,𝔽2)11yescharacteristic
285C2×C4×C107H(5,𝔽2)11yescharacteristic
286C2×C4×C107H(5,𝔽2)11yescharacteristic
287C8×C107—22no—
288C8×C107—22no—
289C8×C107—41no—
290C8×C107—41no—
291C22×C107—81no—
292C22×C107—81no—
293C22×C107—81no—
294C22×C107—81no—
295C22×C107—81no—
296C22×C107—81no—
297C22×C107—81no—
298C22×C107#53411yescharacteristic
299C22×C107#55011yescharacteristic
300C22×C107#55011yescharacteristic
301C22×C107C2×#13511yescharacteristic
302C22×C107C2×#13711yescharacteristic
303C22×C107#57711yescharacteristic
304C22×C107#57811yescharacteristic
305C4×C107—22no—
306C4×C107—22no—
307C4×C107—41no—
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—81no—
318C4×C107#53811yescharacteristic
319C4×C107#53811yescharacteristic
320C4×C107#55511yescharacteristic
321C4×C107H(3,𝔽4)11yescharacteristic
322#32673C10711yesmaximal, characteristic, direct product factor, Sylow
323C2×C107—161no—
324C2×C107#273311yescharacteristic
325C2×C107#319011yescharacteristic
326C2×C107#320111yescharacteristic
327C2×C107#339311yescharacteristic
328C2×C107#339411yescharacteristic
329C2×C107#339811yescharacteristic
330C2×C107#340011yescharacteristic
331#2592C2×C10711yescharacteristic
332#2568C2×C10711yescharacteristic, complemented
333#2056C2×C10711yescharacteristic, complemented
334#2055C2×C10711yescharacteristic
335#2016C2×C10711yescharacteristic, complemented
336#2015C2×C10711yescharacteristic
337#2015C2×C10711yescharacteristic
338#2013C2×C10711yescharacteristic
339#1984C2×C10711yescharacteristic, complemented
340#1969C2×C10711yescharacteristic, complemented
341#1968C2×C10711yescharacteristic
342#1928C2×C10711yescharacteristic, complemented
343#1927C2×C10711yescharacteristic, complemented
344#1927C2×C10711yescharacteristic, complemented
345#1925C2×C10711yescharacteristic
346C107#3267311yescharacteristic, direct product factor, Sylow
347C22×Q16C22×C10711yescharacteristic
348C22×Q16C22×C10711yescharacteristic
349C22×SD16C22×C10711yescharacteristic
350C22×SD16C22×C10711yescharacteristic
351C2×C4⋊Q8C22×C10711yescharacteristic
352C2×#124C22×C10711yescharacteristic
353C2×C4×Q8C22×C10711yescharacteristic
354C2×#107C22×C10711yescharacteristic
355C2×#106C22×C10711yescharacteristic
356C2×C4⋊C8C22×C10711yescharacteristic
357C2×#103C22×C10711yescharacteristic
358C2×#103C22×C10711yescharacteristic
359C2×#103C22×C10711yescharacteristic
360C2×#103C22×C10711yescharacteristic
361C2×#103C22×C10711yescharacteristic
362C2×#103C22×C10711yescharacteristic
363C2×#102C22×C10711yescharacteristic
364C2×#102C22×C10711yescharacteristic
365C2×C4×C8C22×C10711yescharacteristic
366#400—21no—
367#400—21no—
368#397—21no—
369#393—21no—
370#391—21no—
371#391C22×C10711yescharacteristic
372#391C22×C10711yescharacteristic
373#391C22×C10711yescharacteristic
374#391C22×C10711yescharacteristic
375#391C22×C10711yescharacteristic
376#391C22×C10711yescharacteristic
377#390C22×C10711yescharacteristic
378#390C22×C10711yescharacteristic
379#388—21no—
380#388—21no—
381#382—21no—
382C4×C4⋊C4C22×C10711yescharacteristic
383C4×C4⋊C4C22×C10711yescharacteristic
384#340C22×C10711yescharacteristic
385#340C22×C10711yescharacteristic
386#336C22×C10711yescharacteristic
387#336C22×C10711yescharacteristic
388#336C22×C10711yescharacteristic
389#336C22×C10711yescharacteristic
390C22×Q8D4×C10711yescharacteristic
391C22×Q8C23×C10711yescharacteristic
392C22×Q8C23×C10711yescharacteristic
393C22×Q8C23×C10711yescharacteristic
394C22×D4C23×C10711yescharacteristic
395C2×Q16—22no—
396C2×Q16—41no—
397C2×Q16—41no—
398C2×Q16—41no—
399C2×Q16—41no—
400C2×Q16—41no—
401C2×SD16—22no—
402C2×SD16—41no—
403C2×SD16—41no—
404C2×SD16—41no—
405C2×SD16—41no—
406C2×SD16—41no—
407C22×C8C23×C10711yescharacteristic
408C22×C8C23×C10711yescharacteristic
409C22×C8C23×C10711yescharacteristic
410C22×C8C23×C10711yescharacteristic
411C4⋊Q8—41no—
412C4⋊Q8—41no—
413#124—41no—
414#124—41no—
415C4×Q8—41no—
416C4×Q8—41no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4D4×C10711yescharacteristic
420C2×C4⋊C4D4×C10711yescharacteristic
421C2×C4⋊C4D4×C10711yescharacteristic
422C2×C4⋊C4C23×C10711yescharacteristic
423C2×C4⋊C4C23×C10711yescharacteristic
424C2×C4⋊C4C23×C10711yescharacteristic
425C2×C4⋊C4C23×C10711yescharacteristic
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—21no—
434C2×C42C23×C10711yescharacteristic
435C2×C42C23×C10711yescharacteristic
436C2×C42C23×C10711yescharacteristic
437#107—41no—
438#106—41no—
439C4⋊C8—41no—
440#103—22no—
441#103—22no—
442#103—22no—
443#103—41no—
444#103—41no—
445#103—41no—
446#102—22no—
447#102—41no—
448C4×C8—41no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463C24—21no—
464C2×Q8—22no—
465C2×Q8—22no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—41no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4C2×D4×C10711yescharacteristic
499C22×C4C2×D4×C10711yescharacteristic
500C22×C4C2×D4×C10711yescharacteristic
501C22×C4C2×D4×C10711yescharacteristic
502C22×C4C2×D4×C10711yescharacteristic
503C22×C4C2×D4×C10711yescharacteristic
504C22×C4C24×C10711yescharacteristic
505Q16—44no—
506Q16—44no—
507SD16—44no—
508SD16—44no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8#41×C10712yes—
520C2×C8#41×C10712yes—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—41no—
530C4⋊C4—41no—
531C4⋊C4—41no—
532C4⋊C4—42no—
533C4⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—81no—
539C22⋊C4—81no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—42no—
547C42—81no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23C22×D4×C10711yescharacteristic
556Q8—44no—
557Q8—41no—
558Q8—41no—
559Q8—41no—
560Q8—41no—
561Q8—41no—
562Q8—41no—
563Q8—41no—
564Q8—41no—
565Q8—41no—
566Q8—41no—
567Q8—41no—
568Q8—41no—
569D4—41no—
570D4—41no—
571D4—41no—
572D4—41no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
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—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4#135×C10712yes—
611C2×C4#137×C10712yes—
612C2×C4C2×#41×C10711yescharacteristic
613C2×C4C2×#41×C10711yescharacteristic
614C2×C4H(5,𝔽2)×C10711yescharacteristic
615C2×C4H(5,𝔽2)×C10711yescharacteristic
616C2×C4H(5,𝔽2)×C10711yescharacteristic
617C2×C4H(5,𝔽2)×C10711yescharacteristic
618C8—22no—
619C8—22no—
620C8—41no—
621C8—41no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22#534×C10711yescharacteristic
630C22#550×C10711yescharacteristic
631C22#550×C10711yescharacteristic
632C22C2×#135×C10711yescharacteristic
633C22C2×#137×C10711yescharacteristic
634C22#577×C10711yescharacteristic
635C22#578×C10711yescharacteristic
636C4—22no—
637C4—22no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—41no—
642C4—81no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4#538×C10711yescharacteristic
650C4#538×C10711yescharacteristic
651C4#555×C10711yescharacteristic
652C4H(3,𝔽4)×C10711yescharacteristic
653C2—161no—
654C2C107×#273311yescharacteristic
655C2C107×#319011yescharacteristic
656C2C107×#320111yescharacteristic
657C2C107×#339311yescharacteristic
658C2C107×#339411yescharacteristic
659C2C107×#339811yescharacteristic
660C2C107×#340011yescharacteristic
subgroupG/H
center, socleC23×C107C22×D4
commutator, Frattini, cosocleC22×C4C24×C107
prime radicalC22×D4×C107C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C107 ◁ C2×C4×Q8×C107 ◁ G

Complements

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

NH ≅ G/Ntype
2. C107×#2568C2semidirect
3. C107×#2056C2semidirect
5. C107×#2016C2semidirect
9. C107×#1984C2semidirect
10. C107×#1969C2semidirect
12. C107×#1928C2semidirect
13. C107×#1927C2semidirect
14. C107×#1927C2semidirect
322. #32673C107direct (N × H)
332. #2568C2×C107semidirect
333. #2056C2×C107semidirect
335. #2016C2×C107semidirect
339. #1984C2×C107semidirect
340. #1969C2×C107semidirect
342. #1928C2×C107semidirect
343. #1927C2×C107semidirect
344. #1927C2×C107semidirect
346. C107#32673direct (N × H)

Maximal subgroups

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

subgroupindex
C107×#25922
C107×#25682
C107×#20562
C107×#20552
C107×#20162
C107×#20152
C107×#20132
C107×#19842
C107×#19692
C107×#19682
C107×#19282
C107×#19272
C107×#19252
#32673107