Finite Group Databasebeta

← C107×#36791 #41062755

Subgroups — C107×#36791 #41062755

Order 27392.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#2849C211yesmaximal, characteristic, complemented
2C107×#2847C211yesmaximal, characteristic, complemented
3C107×#2804C211yesmaximal, characteristic, complemented
4C107×#2797C211yesmaximal, characteristic, complemented
5C107×#2788C211yesmaximal, characteristic, complemented
6C107×#2784C211yesmaximal, characteristic, complemented
7C107×#2780C211yesmaximal, characteristic, complemented
8C107×#2778C211yesmaximal, characteristic, complemented
9C107×#2751C211yesmaximal, characteristic, complemented
10C107×#2750C211yesmaximal, characteristic, complemented
11C107×#2745C211yesmaximal, characteristic, complemented
12C107×#2714C211yesmaximal, characteristic, complemented
13C107×#2710C211yesmaximal, characteristic, complemented
14C107×#2708C211yesmaximal, characteristic, complemented
15C107×#2708C211yesmaximal, characteristic, complemented
16C107×#2695C211yesmaximal, characteristic, complemented
17C107×#2686C211yesmaximal, characteristic, complemented
18C107×#2682C211yesmaximal, characteristic, complemented
19C107×#2643C211yesmaximal, characteristic, complemented
20C107×#2639C211yesmaximal, characteristic, complemented
21C107×#2481C211yesmaximal, characteristic, complemented
22C107×#2472C211yesmaximal, characteristic, complemented
23C107×#2443C211yesmaximal, characteristic, complemented
24C107×#2438C211yesmaximal, characteristic, complemented
25C107×#2430C211yesmaximal, characteristic, complemented
26C107×#2424C211yesmaximal, characteristic, complemented
27C107×#2411C211yesmaximal, characteristic, complemented
28C107×#2404C211yesmaximal, characteristic, complemented
29C107×#2322C211yesmaximal, characteristic, complemented
30C107×#2311C211yesmaximal, characteristic, complemented
31C2×#385×C107C211yesmaximal, characteristic, complemented
32C22×#41×C107C2211yescharacteristic
33C24×C4×C107C2211yescharacteristic
34C2×#126×C107C2211yescharacteristic, complemented
35C2×#124×C107C2211yescharacteristic
36C2×#123×C107C2211yescharacteristic
37C2×#123×C107C2211yescharacteristic
38C2×#123×C107C2211yescharacteristic
39C2×#123×C107C2211yescharacteristic, complemented
40C2×C22⋊Q8×C107C2211yescharacteristic
41C2×#121×C107C2211yescharacteristic
42C2×#121×C107C2211yescharacteristic
43C2×#121×C107C2211yescharacteristic
44C2×#121×C107C2211yescharacteristic
45C2×#121×C107C2211yescharacteristic
46C2×#120×C107C2211yescharacteristic
47C2×#120×C107C2211yescharacteristic
48C2×#120×C107C2211yescharacteristic
49C2×C4×D4×C107C2211yescharacteristic
50C2×#117×C107C2211yescharacteristic
51C22×C4⋊C4×C107C2211yescharacteristic
52C22×C4⋊C4×C107C2211yescharacteristic
53C22×C22⋊C4×C107C2211yescharacteristic
54C22×C22⋊C4×C107C2211yescharacteristic
55#401×C107C2211yescharacteristic, complemented
56#400×C107C2211yescharacteristic, complemented
57#400×C107C2211yescharacteristic, complemented
58#400×C107C2211yescharacteristic, complemented
59#400×C107C2211yescharacteristic, complemented
60#400×C107C2211yescharacteristic, complemented
61#400×C107C2211yescharacteristic, complemented
62#400×C107C2211yescharacteristic, complemented
63#400×C107C2211yescharacteristic, complemented
64#399×C107C2211yescharacteristic, complemented
65#398×C107C2211yescharacteristic, complemented
66#398×C107C2211yescharacteristic, complemented
67#398×C107C2211yescharacteristic, complemented
68#397×C107C2211yescharacteristic
69#397×C107C2211yescharacteristic, complemented
70#397×C107C2211yescharacteristic, complemented
71#397×C107C2211yescharacteristic, complemented
72#397×C107C2211yescharacteristic, complemented
73#397×C107C2211yescharacteristic, complemented
74#397×C107C2211yescharacteristic, complemented
75#397×C107C2211yescharacteristic, complemented
76#396×C107C2211yescharacteristic
77#396×C107C2211yescharacteristic
78#396×C107C2211yescharacteristic
79#396×C107C2211yescharacteristic, complemented
80#396×C107C2211yescharacteristic, complemented
81#395×C107C2211yescharacteristic, complemented
82#395×C107C2211yescharacteristic, complemented
83#394×C107C2211yescharacteristic
84#394×C107C2211yescharacteristic
85#394×C107C2211yescharacteristic
86#394×C107C2211yescharacteristic
87#394×C107C2211yescharacteristic
88#394×C107C2211yescharacteristic
89#394×C107C2211yescharacteristic, complemented
90#394×C107C2211yescharacteristic, complemented
91#394×C107C2211yescharacteristic, complemented
92#394×C107C2211yescharacteristic, complemented
93#393×C107C2211yescharacteristic
94#393×C107C2211yescharacteristic
95#393×C107C2211yescharacteristic
96#393×C107C2211yescharacteristic, complemented
97#393×C107C2211yescharacteristic, complemented
98#393×C107C2211yescharacteristic, complemented
99#392×C107C2211yescharacteristic
100#392×C107C2211yescharacteristic
101#392×C107C2211yescharacteristic
102#392×C107C2211yescharacteristic, complemented
103#391×C107C2211yescharacteristic, complemented
104#391×C107C2211yescharacteristic, complemented
105#391×C107C2211yescharacteristic, complemented
106#390×C107C2211yescharacteristic
107#390×C107C2211yescharacteristic
108#390×C107C2211yescharacteristic
109#390×C107C2211yescharacteristic
110#390×C107C2211yescharacteristic, complemented
111#390×C107C2211yescharacteristic, complemented
112#389×C107C2211yescharacteristic, complemented
113#389×C107C2211yescharacteristic, complemented
114#389×C107C2211yescharacteristic, complemented
115#388×C107C2211yescharacteristic
116#388×C107C2211yescharacteristic
117#388×C107C2211yescharacteristic
118#388×C107C2211yescharacteristic
119#388×C107C2211yescharacteristic
120#388×C107C2211yescharacteristic, complemented
121#388×C107C2211yescharacteristic, complemented
122#388×C107C2211yescharacteristic, complemented
123#388×C107C2211yescharacteristic, complemented
124#387×C107C2211yescharacteristic, complemented
125#387×C107C2211yescharacteristic, complemented
126#387×C107C2211yescharacteristic, complemented
127#387×C107C2211yescharacteristic, complemented
128#387×C107C2211yescharacteristic, complemented
129#387×C107C2211yescharacteristic, complemented
130#387×C107C2211yescharacteristic, complemented
131#386×C107C2211yescharacteristic
132#386×C107C2211yescharacteristic
133#386×C107C2211yescharacteristic
134#386×C107C2211yescharacteristic
135#386×C107C2211yescharacteristic
136#386×C107C2211yescharacteristic
137#386×C107C2211yescharacteristic
138#386×C107C2211yescharacteristic
139#386×C107C2211yescharacteristic
140#386×C107C2211yescharacteristic
141#386×C107C2211yescharacteristic
142#386×C107C2211yescharacteristic
143#386×C107C2211yescharacteristic
144#386×C107C2211yescharacteristic
145#386×C107C2211yescharacteristic
146#386×C107C2211yescharacteristic
147#386×C107C2211yescharacteristic
148#386×C107C2211yescharacteristic
149#386×C107C2211yescharacteristic
150#386×C107C2211yescharacteristic
151#386×C107C2211yescharacteristic
152#386×C107C2211yescharacteristic, complemented
153#386×C107C2211yescharacteristic, complemented
154#385×C107C2211yescharacteristic
155#385×C107C2211yescharacteristic
156#385×C107C2211yescharacteristic
157#385×C107C2211yescharacteristic
158#385×C107C2211yescharacteristic
159#385×C107C2211yescharacteristic
160#385×C107C2211yescharacteristic
161#385×C107C2211yescharacteristic
162#385×C107C2211yescharacteristic
163#385×C107C2211yescharacteristic
164#385×C107C2211yescharacteristic
165#385×C107C2211yescharacteristic
166#385×C107C2211yescharacteristic
167#385×C107C2211yescharacteristic
168#385×C107C2211yescharacteristic, complemented
169#385×C107C2211yescharacteristic, complemented
170#385×C107C2211yescharacteristic, complemented
171#385×C107C2211yescharacteristic, complemented
172#385×C107C2211yescharacteristic, complemented
173#381×C107C2211yescharacteristic
174#381×C107C2211yescharacteristic
175#381×C107C2211yescharacteristic
176#380×C107C2211yescharacteristic
177#380×C107C2211yescharacteristic
178#380×C107C2211yescharacteristic
179#380×C107C2211yescharacteristic, complemented
180#380×C107C2211yescharacteristic, complemented
181#380×C107C2211yescharacteristic, complemented
182#380×C107C2211yescharacteristic, complemented
183#379×C107C2211yescharacteristic
184C4×C22⋊C4×C107C2211yescharacteristic
185C2×#95×C107C2211yescharacteristic
186C2×#95×C107C2211yescharacteristic
187C25×C107C2311yescharacteristic
188C2×#41×C107—24no—
189C2×#41×C107—42no—
190C2×#41×C107—42no—
191C22×Q8×C107C2311yescharacteristic
192C22×Q8×C107C2311yescharacteristic
193C22×D4×C107C2311yescharacteristic
194C22×D4×C107C2311yescharacteristic
195C22×D4×C107C2311yescharacteristic
196C22×D4×C107C2311yescharacteristic
197C22×D4×C107C2311yescharacteristic
198C22×D4×C107C2311yescharacteristic
199C22×D4×C107C2311yescharacteristic
200C22×D4×C107C2311yescharacteristic
201C22×D4×C107C2311yescharacteristic
202C22×D4×C107C2311yescharacteristic
203C22×D4×C107C2311yescharacteristic
204C22×D4×C107C2311yescharacteristic
205C23×C4×C107—42no—
206C23×C4×C107—42no—
207C23×C4×C107—42no—
208C23×C4×C107C2311yescharacteristic
209C23×C4×C107C2311yescharacteristic
210C23×C4×C107C2311yescharacteristic
211C23×C4×C107C2311yescharacteristic
212C23×C4×C107C2311yescharacteristic
213C23×C4×C107C2311yescharacteristic
214C23×C4×C107C2311yescharacteristic
215C23×C4×C107C2311yescharacteristic
216C23×C4×C107C2311yescharacteristic
217C23×C4×C107C2311yescharacteristic
218C23×C4×C107C2311yescharacteristic
219C23×C4×C107C2311yescharacteristic
220C23×C4×C107C2311yescharacteristic
221#126×C107—42no—
222#124×C107—42no—
223#123×C107—24no—
224#123×C107—42no—
225#123×C107—42no—
226#123×C107—42no—
227C22⋊Q8×C107—42no—
228#121×C107—42no—
229#121×C107—42no—
230#121×C107—42no—
231#121×C107—42no—
232#121×C107—42no—
233#120×C107—42no—
234#120×C107—42no—
235#120×C107—42no—
236C4×D4×C107—42no—
237#117×C107—42no—
238C2×C4⋊C4×C107—42no—
239C2×C4⋊C4×C107—42no—
240C2×C4⋊C4×C107C2311yescharacteristic
241C2×C4⋊C4×C107C2311yescharacteristic
242C2×C4⋊C4×C107C2311yescharacteristic
243C2×C4⋊C4×C107C2311yescharacteristic
244C2×C4⋊C4×C107C2311yescharacteristic
245C2×C4⋊C4×C107C2311yescharacteristic
246C2×C4⋊C4×C107C2311yescharacteristic
247C2×C4⋊C4×C107C2311yescharacteristic
248C2×C4⋊C4×C107C2311yescharacteristic
249C2×C4⋊C4×C107C2311yescharacteristic
250C2×C4⋊C4×C107C2311yescharacteristic
251C2×C4⋊C4×C107C2311yescharacteristic
252C2×C4⋊C4×C107C2311yescharacteristic
253C2×C4⋊C4×C107C2311yescharacteristic
254C2×C4⋊C4×C107C2311yescharacteristic
255C2×C4⋊C4×C107C2311yescharacteristic
256C2×C4⋊C4×C107C2311yescharacteristic
257C2×C4⋊C4×C107C2311yescharacteristic
258C2×C4⋊C4×C107C2311yescharacteristic
259C2×C4⋊C4×C107C2311yescharacteristic
260C2×C4⋊C4×C107C2311yescharacteristic
261C2×C4⋊C4×C107C2311yescharacteristic
262C2×C4⋊C4×C107C2311yescharacteristic
263C2×C4⋊C4×C107C2311yescharacteristic
264C2×C4⋊C4×C107C2311yescharacteristic
265C2×C4⋊C4×C107C2311yescharacteristic
266C2×C4⋊C4×C107C2311yescharacteristic
267C2×C4⋊C4×C107C2311yescharacteristic
268C2×C22⋊C4×C107—24no—
269C2×C22⋊C4×C107—42no—
270C2×C22⋊C4×C107C2311yescharacteristic
271C2×C22⋊C4×C107C2311yescharacteristic
272C2×C22⋊C4×C107C2311yescharacteristic
273C2×C22⋊C4×C107C2311yescharacteristic
274C2×C22⋊C4×C107C2311yescharacteristic
275C2×C22⋊C4×C107C2311yescharacteristic
276C2×C22⋊C4×C107C2311yescharacteristic
277C2×C22⋊C4×C107C2311yescharacteristic
278C2×C22⋊C4×C107C2311yescharacteristic
279C2×C22⋊C4×C107C2311yescharacteristic
280C2×C22⋊C4×C107C2311yescharacteristic
281C2×C22⋊C4×C107C2311yescharacteristic
282C2×C22⋊C4×C107C2311yescharacteristic
283C2×C22⋊C4×C107C2311yescharacteristic
284C2×C22⋊C4×C107C2311yescharacteristic
285C2×C22⋊C4×C107C2311yescharacteristic
286C2×C22⋊C4×C107C2311yescharacteristic
287C2×C22⋊C4×C107C2311yescharacteristic
288C2×C22⋊C4×C107C2311yescharacteristic
289C2×C22⋊C4×C107C2311yescharacteristic
290C2×C22⋊C4×C107C2311yescharacteristic
291C2×C22⋊C4×C107C2311yescharacteristic
292C2×C22⋊C4×C107C2311yescharacteristic
293C2×C22⋊C4×C107C2311yescharacteristic
294C2×C22⋊C4×C107C2311yescharacteristic
295C2×C22⋊C4×C107C2311yescharacteristic
296C2×C22⋊C4×C107C2311yescharacteristic
297C2×C22⋊C4×C107C2311yescharacteristic
298C2×C22⋊C4×C107C2311yescharacteristic
299C2×C22⋊C4×C107C2311yescharacteristic
300C2×C22⋊C4×C107C2311yescharacteristic
301C2×C22⋊C4×C107C2311yescharacteristic
302C2×C22⋊C4×C107C2311yescharacteristic
303C2×C22⋊C4×C107C2311yescharacteristic
304C2×C22⋊C4×C107C2311yescharacteristic
305C2×C22⋊C4×C107C2311yescharacteristic
306C2×C22⋊C4×C107C2311yescharacteristic
307C2×C22⋊C4×C107C2311yescharacteristic
308C2×C22⋊C4×C107C2311yescharacteristic
309C2×C22⋊C4×C107C2311yescharacteristic
310C2×C22⋊C4×C107C2311yescharacteristic
311C2×C22⋊C4×C107C2311yescharacteristic
312C2×C22⋊C4×C107C2311yescharacteristic
313C2×C22⋊C4×C107C2311yescharacteristic
314C2×C22⋊C4×C107C2311yescharacteristic
315C2×C22⋊C4×C107C2311yescharacteristic
316C2×C22⋊C4×C107C2311yescharacteristic
317C2×C22⋊C4×C107C2311yescharacteristic
318C2×C22⋊C4×C107C2311yescharacteristic
319C2×C22⋊C4×C107C2311yescharacteristic
320C2×C42×C107C2311yescharacteristic
321C2×C42×C107C2311yescharacteristic
322C2×C42×C107C2311yescharacteristic
323C2×C42×C107C2311yescharacteristic
324C2×C42×C107C2311yescharacteristic
325#95×C107C2311yescharacteristic
326#95×C107C2311yescharacteristic
327#95×C107C2311yescharacteristic
328#95×C107C2311yescharacteristic
329#95×C107C2311yescharacteristic
330#95×C107C2311yescharacteristic
331#95×C107C2311yescharacteristic
332#95×C107C2311yescharacteristic
333#95×C107C2311yescharacteristic
334#95×C107C2311yescharacteristic
335#95×C107C2311yescharacteristic
336#95×C107C2311yescharacteristic
337#95×C107C2311yescharacteristic
338#95×C107C2311yescharacteristic
339#95×C107C2311yescharacteristic
340#95×C107C2311yescharacteristic
341#95×C107C2311yescharacteristic
342#95×C107C2311yescharacteristic
343#95×C107C2311yescharacteristic
344#95×C107C2311yescharacteristic
345#95×C107C2311yescharacteristic
346#95×C107C2311yescharacteristic
347#95×C107C2311yescharacteristic
348#95×C107C2311yescharacteristic
349#95×C107C2311yescharacteristic
350#95×C107C2311yescharacteristic
351#95×C107C2311yescharacteristic
352#95×C107C2311yescharacteristic
353#95×C107C2311yescharacteristic
354#95×C107C2311yescharacteristic
355#95×C107C2311yescharacteristic
356#95×C107C2311yescharacteristic
357#95×C107C2311yescharacteristic
358#95×C107C2311yescharacteristic
359#95×C107C2311yescharacteristic
360#95×C107C2311yescharacteristic
361#95×C107C2311yescharacteristic
362#95×C107C2311yescharacteristic
363#95×C107C2311yescharacteristic
364#95×C107C2311yescharacteristic
365#95×C107C2311yescharacteristic
366#95×C107C2311yescharacteristic
367#95×C107C2311yescharacteristic
368#95×C107C2311yescharacteristic
369C24×C107—22no—
370C24×C107—22no—
371C24×C107—22no—
372C24×C107—22no—
373C24×C107—22no—
374C24×C107—41no—
375C24×C107—41no—
376C24×C107C2411yescharacteristic
377C24×C107C2411yescharacteristic
378C24×C107C2411yescharacteristic
379C24×C107C2411yescharacteristic
380C24×C107C2411yescharacteristic
381C24×C107C2411yescharacteristic
382#41×C107—416no—
383C2×Q8×C107—22no—
384C2×Q8×C107—41no—
385C2×Q8×C107—41no—
386C2×Q8×C107—41no—
387C2×Q8×C107—41no—
388C2×Q8×C107—41no—
389C2×D4×C107—22no—
390C2×D4×C107—22no—
391C2×D4×C107—22no—
392C2×D4×C107—22no—
393C2×D4×C107—22no—
394C2×D4×C107—22no—
395C2×D4×C107—22no—
396C2×D4×C107—22no—
397C2×D4×C107—22no—
398C2×D4×C107—22no—
399C2×D4×C107—22no—
400C2×D4×C107—22no—
401C2×D4×C107—22no—
402C2×D4×C107—22no—
403C2×D4×C107—22no—
404C2×D4×C107—22no—
405C2×D4×C107—22no—
406C2×D4×C107—41no—
407C2×D4×C107—41no—
408C2×D4×C107—41no—
409C2×D4×C107—41no—
410C2×D4×C107—41no—
411C2×D4×C107—41no—
412C2×D4×C107—41no—
413C2×D4×C107—41no—
414C2×D4×C107—41no—
415C2×D4×C107—41no—
416C2×D4×C107—41no—
417C2×D4×C107—41no—
418C2×D4×C107—41no—
419C2×D4×C107—41no—
420C2×D4×C107—41no—
421C2×D4×C107—41no—
422C2×D4×C107—41no—
423C2×D4×C107—41no—
424C2×D4×C107—41no—
425C22×C4×C107—22no—
426C22×C4×C107—22no—
427C22×C4×C107—22no—
428C22×C4×C107—22no—
429C22×C4×C107—22no—
430C22×C4×C107—22no—
431C22×C4×C107—22no—
432C22×C4×C107—22no—
433C22×C4×C107—22no—
434C22×C4×C107—22no—
435C22×C4×C107—22no—
436C22×C4×C107—22no—
437C22×C4×C107—22no—
438C22×C4×C107—22no—
439C22×C4×C107—41no—
440C22×C4×C107—41no—
441C22×C4×C107—41no—
442C22×C4×C107—41no—
443C22×C4×C107—41no—
444C22×C4×C107—41no—
445C22×C4×C107—41no—
446C22×C4×C107—41no—
447C22×C4×C107—41no—
448C22×C4×C107—41no—
449C22×C4×C107—41no—
450C22×C4×C107—41no—
451C22×C4×C107—41no—
452C22×C4×C107—41no—
453C22×C4×C107—41no—
454C22×C4×C107—41no—
455C22×C4×C107—41no—
456C22×C4×C107—41no—
457C22×C4×C107—41no—
458C22×C4×C107—41no—
459C22×C4×C107—41no—
460C22×C4×C107—41no—
461C22×C4×C107—41no—
462C22×C4×C107—41no—
463C22×C4×C107—416no—
464C22×C4×C107#4114yes—
465C22×C4×C107C2411yescharacteristic
466C22×C4×C107C2411yescharacteristic
467C22×C4×C107C2411yescharacteristic
468C22×C4×C107C2411yescharacteristic
469C22×C4×C107C2411yescharacteristic
470C22×C4×C107C2411yescharacteristic
471C22×C4×C107C2411yescharacteristic
472C22×C4×C107C2411yescharacteristic
473C22×C4×C107C2411yescharacteristic
474C22×C4×C107C2411yescharacteristic
475C22×C4×C107C2411yescharacteristic
476C22×C4×C107C2411yescharacteristic
477C22×C4×C107C2411yescharacteristic
478C22×C4×C107C2411yescharacteristic
479C22×C4×C107C2411yescharacteristic
480C22×C4×C107C2411yescharacteristic
481C22×C4×C107C2411yescharacteristic
482C22×C4×C107C2411yescharacteristic
483C22×C4×C107C2411yescharacteristic
484C22×C4×C107C2411yescharacteristic
485C22×C4×C107C2411yescharacteristic
486C22×C4×C107C2411yescharacteristic
487C22×C4×C107C2411yescharacteristic
488C22×C4×C107C2411yescharacteristic
489C22×C4×C107C2411yescharacteristic
490C4⋊C4×C107—22no—
491C4⋊C4×C107—22no—
492C4⋊C4×C107—22no—
493C4⋊C4×C107—22no—
494C4⋊C4×C107—22no—
495C4⋊C4×C107—22no—
496C4⋊C4×C107—41no—
497C4⋊C4×C107—41no—
498C4⋊C4×C107—41no—
499C4⋊C4×C107—41no—
500C4⋊C4×C107—41no—
501C4⋊C4×C107—41no—
502C4⋊C4×C107—41no—
503C4⋊C4×C107—41no—
504C4⋊C4×C107—41no—
505C4⋊C4×C107—41no—
506C4⋊C4×C107—41no—
507C4⋊C4×C107—41no—
508C4⋊C4×C107—41no—
509C4⋊C4×C107—41no—
510C4⋊C4×C107—41no—
511C4⋊C4×C107—41no—
512C4⋊C4×C107—41no—
513C4⋊C4×C107—41no—
514C4⋊C4×C107—41no—
515C4⋊C4×C107—41no—
516C4⋊C4×C107—41no—
517C4⋊C4×C107—41no—
518C22⋊C4×C107—22no—
519C22⋊C4×C107—22no—
520C22⋊C4×C107—22no—
521C22⋊C4×C107—22no—
522C22⋊C4×C107—22no—
523C22⋊C4×C107—22no—
524C22⋊C4×C107—22no—
525C22⋊C4×C107—22no—
526C22⋊C4×C107—22no—
527C22⋊C4×C107—22no—
528C22⋊C4×C107—22no—
529C22⋊C4×C107—22no—
530C22⋊C4×C107—22no—
531C22⋊C4×C107—22no—
532C22⋊C4×C107—22no—
533C22⋊C4×C107—22no—
534C22⋊C4×C107—41no—
535C22⋊C4×C107—41no—
536C22⋊C4×C107—41no—
537C22⋊C4×C107—41no—
538C22⋊C4×C107—41no—
539C22⋊C4×C107—41no—
540C22⋊C4×C107—41no—
541C22⋊C4×C107—41no—
542C22⋊C4×C107—41no—
543C22⋊C4×C107—41no—
544C22⋊C4×C107—41no—
545C22⋊C4×C107—41no—
546C22⋊C4×C107—41no—
547C22⋊C4×C107—41no—
548C22⋊C4×C107—41no—
549C22⋊C4×C107—41no—
550C22⋊C4×C107—41no—
551C22⋊C4×C107—41no—
552C22⋊C4×C107—41no—
553C22⋊C4×C107—41no—
554C22⋊C4×C107—41no—
555C22⋊C4×C107—41no—
556C22⋊C4×C107—41no—
557C22⋊C4×C107—41no—
558C22⋊C4×C107—41no—
559C22⋊C4×C107—41no—
560C22⋊C4×C107—41no—
561C22⋊C4×C107—41no—
562C22⋊C4×C107—41no—
563C22⋊C4×C107—41no—
564C22⋊C4×C107—41no—
565C22⋊C4×C107—41no—
566C22⋊C4×C107—41no—
567C22⋊C4×C107—41no—
568C42×C107—41no—
569C42×C107—41no—
570C42×C107—41no—
571C42×C107—41no—
572C42×C107—41no—
573C23×C107—21no—
574C23×C107—21no—
575C23×C107—21no—
576C23×C107—21no—
577C23×C107—28no—
578C23×C107—21no—
579C23×C107—21no—
580C23×C107—21no—
581C23×C107—21no—
582C23×C107—21no—
583C23×C107—21no—
584C23×C107—21no—
585C23×C107—21no—
586C23×C107—21no—
587C23×C107—21no—
588C23×C107—21no—
589C23×C107—21no—
590C23×C107—21no—
591C23×C107—21no—
592C23×C107—21no—
593C23×C107—21no—
594C23×C107—21no—
595C23×C107—21no—
596C23×C107—21no—
597C23×C107—21no—
598C23×C107—21no—
599C23×C107—21no—
600C23×C107—21no—
601C23×C107—21no—
602C23×C107—21no—
603C23×C107—21no—
604C23×C107—21no—
605C23×C107—21no—
606C23×C107—21no—
607C23×C107—21no—
608C23×C107—21no—
609C23×C107—21no—
610C23×C107—21no—
611C23×C107—44no—
612C23×C107—44no—
613C23×C107—44no—
614C23×C107—44no—
615C23×C107—44no—
616C23×C107—44no—
617C23×C107C2×#4112yes—
618C23×C107H(5,𝔽2)12yes—
619C23×C107H(5,𝔽2)12yes—
620C23×C107H(5,𝔽2)12yes—
621C23×C1072−1+412yes—
622C23×C107C2511yescharacteristic
623Q8×C107—44no—
624Q8×C107—82no—
625D4×C107—44no—
626D4×C107—44no—
627D4×C107—44no—
628D4×C107—44no—
629D4×C107—82no—
630D4×C107—82no—
631D4×C107—82no—
632D4×C107—82no—
633D4×C107—82no—
634D4×C107—82no—
635D4×C107—82no—
636D4×C107—82no—
637C2×C4×C107—28no—
638C2×C4×C107—21no—
639C2×C4×C107—21no—
640C2×C4×C107—21no—
641C2×C4×C107—21no—
642C2×C4×C107—21no—
643C2×C4×C107—21no—
644C2×C4×C107—21no—
645C2×C4×C107—21no—
646C2×C4×C107—21no—
647C2×C4×C107—21no—
648C2×C4×C107—21no—
649C2×C4×C107—21no—
650C2×C4×C107—21no—
651C2×C4×C107—21no—
652C2×C4×C107—21no—
653C2×C4×C107—21no—
654C2×C4×C107—21no—
655C2×C4×C107—21no—
656C2×C4×C107—21no—
657C2×C4×C107—21no—
658C2×C4×C107—21no—
659C2×C4×C107—21no—
660C2×C4×C107—21no—
661C2×C4×C107—21no—
662C2×C4×C107—21no—
663C2×C4×C107—21no—
664C2×C4×C107—21no—
665C2×C4×C107—21no—
666C2×C4×C107—21no—
667C2×C4×C107—21no—
668C2×C4×C107—21no—
669C2×C4×C107—21no—
670C2×C4×C107—21no—
671C2×C4×C107—21no—
672C2×C4×C107—21no—
673C2×C4×C107—21no—
674C2×C4×C107—21no—
675C2×C4×C107—21no—
676C2×C4×C107—21no—
677C2×C4×C107—21no—
678C2×C4×C107—21no—
679C2×C4×C107—21no—
680C2×C4×C107—21no—
681C2×C4×C107—21no—
682C2×C4×C107—21no—
683C2×C4×C107—21no—
684C2×C4×C107—21no—
685C2×C4×C107—21no—
686C2×C4×C107—21no—
687C2×C4×C107—21no—
688C2×C4×C107—21no—
689C2×C4×C107—21no—
690C2×C4×C107—21no—
691C2×C4×C107—21no—
692C2×C4×C107—21no—
693C2×C4×C107—21no—
694C2×C4×C107—21no—
695C2×C4×C107—21no—
696C2×C4×C107—21no—
697C2×C4×C107—21no—
698C2×C4×C107—21no—
699C2×C4×C107—21no—
700C2×C4×C107—21no—
701C2×C4×C107—21no—
702C2×C4×C107—21no—
703C2×C4×C107—21no—
704C2×C4×C107—21no—
705C2×C4×C107—21no—
706C2×C4×C107—21no—
707C2×C4×C107—21no—
708C2×C4×C107—21no—
709C2×C4×C107—21no—
710C2×C4×C107—44no—
711C2×C4×C107—44no—
712C2×C4×C107—44no—
713C2×C4×C107—44no—
714C2×C4×C107—44no—
715C2×C4×C107—44no—
716C2×C4×C107—44no—
717C2×C4×C107—44no—
718C2×C4×C107—44no—
719C2×C4×C107—82no—
720C2×C4×C107—82no—
721C2×C4×C107—82no—
722C2×C4×C107C2×#4112yes—
723C2×C4×C107C2×#4112yes—
724C2×C4×C107H(5,𝔽2)12yes—
725C22×C107—22no—
726C22×C107—22no—
727C22×C107—22no—
728C22×C107—22no—
729C22×C107—22no—
730C22×C107—22no—
731C22×C107—22no—
732C22×C107—22no—
733C22×C107—22no—
734C22×C107—22no—
735C22×C107—22no—
736C22×C107—22no—
737C22×C107—416no—
738C22×C107—41no—
739C22×C107—41no—
740C22×C107—41no—
741C22×C107—41no—
742C22×C107—41no—
743C22×C107—41no—
744C22×C107—41no—
745C22×C107—41no—
746C22×C107—41no—
747C22×C107—41no—
748C22×C107—41no—
749C22×C107—41no—
750C22×C107—41no—
751C22×C107—41no—
752C22×C107—41no—
753C22×C107—41no—
754C22×C107—41no—
755C22×C107—41no—
756C22×C107—41no—
757C22×C107—41no—
758C22×C107—41no—
759C22×C107—41no—
760C22×C107—41no—
761C22×C107—41no—
762C22×C107—41no—
763C22×C107—41no—
764C22×C107—41no—
765C22×C107—41no—
766C22×C107—41no—
767C22×C107#53814yes—
768C22×C107C22×#4111yescharacteristic
769C22×C107C2×H(5,𝔽2)11yescharacteristic
770C22×C107C2×H(5,𝔽2)11yescharacteristic
771C22×C107C2×H(5,𝔽2)11yescharacteristic
772C22×C107C2×H(5,𝔽2)11yescharacteristic
773C22×C107C2×2−1+411yescharacteristic
774C22×C107#58511yescharacteristic
775C4×C107—22no—
776C4×C107—22no—
777C4×C107—22no—
778C4×C107—41no—
779C4×C107—41no—
780C4×C107—41no—
781C4×C107—41no—
782C4×C107—41no—
783C4×C107—41no—
784C4×C107—41no—
785C4×C107—41no—
786C4×C107—41no—
787C4×C107—41no—
788C4×C107—41no—
789C4×C107—41no—
790C4×C107—41no—
791C4×C107—41no—
792C4×C107—41no—
793C4×C107—41no—
794C4×C107—41no—
795C4×C107—41no—
796C4×C107—41no—
797C4×C107—41no—
798C4×C107—41no—
799C4×C107—41no—
800#36791C10711yesmaximal, characteristic, direct product factor, Sylow
801C2×C107—24no—
802C2×C107—42no—
803C2×C107—42no—
804C2×C107—81no—
805C2×C107—81no—
806C2×C107—81no—
807C2×C107C2×#53811yescharacteristic
808C2×C107#349211yescharacteristic
809C2×C107#350611yescharacteristic
810C2×C107#353211yescharacteristic
811C2×C107#353411yescharacteristic
812C2×C107#353511yescharacteristic
813C2×C107#353611yescharacteristic
814#2849C2×C10711yescharacteristic, complemented
815#2847C2×C10711yescharacteristic, complemented
816#2804C2×C10711yescharacteristic, complemented
817#2797C2×C10711yescharacteristic, complemented
818#2788C2×C10711yescharacteristic, complemented
819#2784C2×C10711yescharacteristic, complemented
820#2780C2×C10711yescharacteristic, complemented
821#2778C2×C10711yescharacteristic, complemented
822#2751C2×C10711yescharacteristic, complemented
823#2750C2×C10711yescharacteristic, complemented
824#2745C2×C10711yescharacteristic, complemented
825#2714C2×C10711yescharacteristic, complemented
826#2710C2×C10711yescharacteristic, complemented
827#2708C2×C10711yescharacteristic, complemented
828#2708C2×C10711yescharacteristic, complemented
829#2695C2×C10711yescharacteristic, complemented
830#2686C2×C10711yescharacteristic, complemented
831#2682C2×C10711yescharacteristic, complemented
832#2643C2×C10711yescharacteristic, complemented
833#2639C2×C10711yescharacteristic, complemented
834#2481C2×C10711yescharacteristic, complemented
835#2472C2×C10711yescharacteristic, complemented
836#2443C2×C10711yescharacteristic, complemented
837#2438C2×C10711yescharacteristic, complemented
838#2430C2×C10711yescharacteristic, complemented
839#2424C2×C10711yescharacteristic, complemented
840#2411C2×C10711yescharacteristic, complemented
841#2404C2×C10711yescharacteristic, complemented
842#2322C2×C10711yescharacteristic, complemented
843#2311C2×C10711yescharacteristic, complemented
844C2×#385C2×C10711yescharacteristic, complemented
845C107#3679111yescharacteristic, direct product factor, Sylow
846C22×#41C22×C10711yescharacteristic
847C24×C4C22×C10711yescharacteristic
848C2×#126C22×C10711yescharacteristic, complemented
849C2×#124C22×C10711yescharacteristic
850C2×#123C22×C10711yescharacteristic
851C2×#123C22×C10711yescharacteristic
852C2×#123C22×C10711yescharacteristic
853C2×#123C22×C10711yescharacteristic, complemented
854C2×C22⋊Q8C22×C10711yescharacteristic
855C2×#121C22×C10711yescharacteristic
856C2×#121C22×C10711yescharacteristic
857C2×#121C22×C10711yescharacteristic
858C2×#121C22×C10711yescharacteristic
859C2×#121C22×C10711yescharacteristic
860C2×#120C22×C10711yescharacteristic
861C2×#120C22×C10711yescharacteristic
862C2×#120C22×C10711yescharacteristic
863C2×C4×D4C22×C10711yescharacteristic
864C2×#117C22×C10711yescharacteristic
865C22×C4⋊C4C22×C10711yescharacteristic
866C22×C4⋊C4C22×C10711yescharacteristic
867C22×C22⋊C4C22×C10711yescharacteristic
868C22×C22⋊C4C22×C10711yescharacteristic
869#401C22×C10711yescharacteristic, complemented
870#400C22×C10711yescharacteristic, complemented
871#400C22×C10711yescharacteristic, complemented
872#400C22×C10711yescharacteristic, complemented
873#400C22×C10711yescharacteristic, complemented
874#400C22×C10711yescharacteristic, complemented
875#400C22×C10711yescharacteristic, complemented
876#400C22×C10711yescharacteristic, complemented
877#400C22×C10711yescharacteristic, complemented
878#399C22×C10711yescharacteristic, complemented
879#398C22×C10711yescharacteristic, complemented
880#398C22×C10711yescharacteristic, complemented
881#398C22×C10711yescharacteristic, complemented
882#397C22×C10711yescharacteristic
883#397C22×C10711yescharacteristic, complemented
884#397C22×C10711yescharacteristic, complemented
885#397C22×C10711yescharacteristic, complemented
886#397C22×C10711yescharacteristic, complemented
887#397C22×C10711yescharacteristic, complemented
888#397C22×C10711yescharacteristic, complemented
889#397C22×C10711yescharacteristic, complemented
890#396C22×C10711yescharacteristic
891#396C22×C10711yescharacteristic
892#396C22×C10711yescharacteristic
893#396C22×C10711yescharacteristic, complemented
894#396C22×C10711yescharacteristic, complemented
895#395C22×C10711yescharacteristic, complemented
896#395C22×C10711yescharacteristic, complemented
897#394C22×C10711yescharacteristic
898#394C22×C10711yescharacteristic
899#394C22×C10711yescharacteristic
900#394C22×C10711yescharacteristic
901#394C22×C10711yescharacteristic
902#394C22×C10711yescharacteristic
903#394C22×C10711yescharacteristic, complemented
904#394C22×C10711yescharacteristic, complemented
905#394C22×C10711yescharacteristic, complemented
906#394C22×C10711yescharacteristic, complemented
907#393C22×C10711yescharacteristic
908#393C22×C10711yescharacteristic
909#393C22×C10711yescharacteristic
910#393C22×C10711yescharacteristic, complemented
911#393C22×C10711yescharacteristic, complemented
912#393C22×C10711yescharacteristic, complemented
913#392C22×C10711yescharacteristic
914#392C22×C10711yescharacteristic
915#392C22×C10711yescharacteristic
916#392C22×C10711yescharacteristic, complemented
917#391C22×C10711yescharacteristic, complemented
918#391C22×C10711yescharacteristic, complemented
919#391C22×C10711yescharacteristic, complemented
920#390C22×C10711yescharacteristic
921#390C22×C10711yescharacteristic
922#390C22×C10711yescharacteristic
923#390C22×C10711yescharacteristic
924#390C22×C10711yescharacteristic, complemented
925#390C22×C10711yescharacteristic, complemented
926#389C22×C10711yescharacteristic, complemented
927#389C22×C10711yescharacteristic, complemented
928#389C22×C10711yescharacteristic, complemented
929#388C22×C10711yescharacteristic
930#388C22×C10711yescharacteristic
931#388C22×C10711yescharacteristic
932#388C22×C10711yescharacteristic
933#388C22×C10711yescharacteristic
934#388C22×C10711yescharacteristic, complemented
935#388C22×C10711yescharacteristic, complemented
936#388C22×C10711yescharacteristic, complemented
937#388C22×C10711yescharacteristic, complemented
938#387C22×C10711yescharacteristic, complemented
939#387C22×C10711yescharacteristic, complemented
940#387C22×C10711yescharacteristic, complemented
941#387C22×C10711yescharacteristic, complemented
942#387C22×C10711yescharacteristic, complemented
943#387C22×C10711yescharacteristic, complemented
944#387C22×C10711yescharacteristic, complemented
945#386C22×C10711yescharacteristic
946#386C22×C10711yescharacteristic
947#386C22×C10711yescharacteristic
948#386C22×C10711yescharacteristic
949#386C22×C10711yescharacteristic
950#386C22×C10711yescharacteristic
951#386C22×C10711yescharacteristic
952#386C22×C10711yescharacteristic
953#386C22×C10711yescharacteristic
954#386C22×C10711yescharacteristic
955#386C22×C10711yescharacteristic
956#386C22×C10711yescharacteristic
957#386C22×C10711yescharacteristic
958#386C22×C10711yescharacteristic
959#386C22×C10711yescharacteristic
960#386C22×C10711yescharacteristic
961#386C22×C10711yescharacteristic
962#386C22×C10711yescharacteristic
963#386C22×C10711yescharacteristic
964#386C22×C10711yescharacteristic
965#386C22×C10711yescharacteristic
966#386C22×C10711yescharacteristic, complemented
967#386C22×C10711yescharacteristic, complemented
968#385C22×C10711yescharacteristic
969#385C22×C10711yescharacteristic
970#385C22×C10711yescharacteristic
971#385C22×C10711yescharacteristic
972#385C22×C10711yescharacteristic
973#385C22×C10711yescharacteristic
974#385C22×C10711yescharacteristic
975#385C22×C10711yescharacteristic
976#385C22×C10711yescharacteristic
977#385C22×C10711yescharacteristic
978#385C22×C10711yescharacteristic
979#385C22×C10711yescharacteristic
980#385C22×C10711yescharacteristic
981#385C22×C10711yescharacteristic
982#385C22×C10711yescharacteristic, complemented
983#385C22×C10711yescharacteristic, complemented
984#385C22×C10711yescharacteristic, complemented
985#385C22×C10711yescharacteristic, complemented
986#385C22×C10711yescharacteristic, complemented
987#381C22×C10711yescharacteristic
988#381C22×C10711yescharacteristic
989#381C22×C10711yescharacteristic
990#380C22×C10711yescharacteristic
991#380C22×C10711yescharacteristic
992#380C22×C10711yescharacteristic
993#380C22×C10711yescharacteristic, complemented
994#380C22×C10711yescharacteristic, complemented
995#380C22×C10711yescharacteristic, complemented
996#380C22×C10711yescharacteristic, complemented
997#379C22×C10711yescharacteristic
998C4×C22⋊C4C22×C10711yescharacteristic
999C2×#95C22×C10711yescharacteristic
1000C2×#95C22×C10711yescharacteristic
1001C25C23×C10711yescharacteristic
1002C2×#41—24no—
1003C2×#41—42no—
1004C2×#41—42no—
1005C22×Q8C23×C10711yescharacteristic
1006C22×Q8C23×C10711yescharacteristic
1007C22×D4C23×C10711yescharacteristic
1008C22×D4C23×C10711yescharacteristic
1009C22×D4C23×C10711yescharacteristic
1010C22×D4C23×C10711yescharacteristic
1011C22×D4C23×C10711yescharacteristic
1012C22×D4C23×C10711yescharacteristic
1013C22×D4C23×C10711yescharacteristic
1014C22×D4C23×C10711yescharacteristic
1015C22×D4C23×C10711yescharacteristic
1016C22×D4C23×C10711yescharacteristic
1017C22×D4C23×C10711yescharacteristic
1018C22×D4C23×C10711yescharacteristic
1019C23×C4—42no—
1020C23×C4—42no—
1021C23×C4—42no—
1022C23×C4C23×C10711yescharacteristic
1023C23×C4C23×C10711yescharacteristic
1024C23×C4C23×C10711yescharacteristic
1025C23×C4C23×C10711yescharacteristic
1026C23×C4C23×C10711yescharacteristic
1027C23×C4C23×C10711yescharacteristic
1028C23×C4C23×C10711yescharacteristic
1029C23×C4C23×C10711yescharacteristic
1030C23×C4C23×C10711yescharacteristic
1031C23×C4C23×C10711yescharacteristic
1032C23×C4C23×C10711yescharacteristic
1033C23×C4C23×C10711yescharacteristic
1034C23×C4C23×C10711yescharacteristic
1035#126—42no—
1036#124—42no—
1037#123—24no—
1038#123—42no—
1039#123—42no—
1040#123—42no—
1041C22⋊Q8—42no—
1042#121—42no—
1043#121—42no—
1044#121—42no—
1045#121—42no—
1046#121—42no—
1047#120—42no—
1048#120—42no—
1049#120—42no—
1050C4×D4—42no—
1051#117—42no—
1052C2×C4⋊C4—42no—
1053C2×C4⋊C4—42no—
1054C2×C4⋊C4C23×C10711yescharacteristic
1055C2×C4⋊C4C23×C10711yescharacteristic
1056C2×C4⋊C4C23×C10711yescharacteristic
1057C2×C4⋊C4C23×C10711yescharacteristic
1058C2×C4⋊C4C23×C10711yescharacteristic
1059C2×C4⋊C4C23×C10711yescharacteristic
1060C2×C4⋊C4C23×C10711yescharacteristic
1061C2×C4⋊C4C23×C10711yescharacteristic
1062C2×C4⋊C4C23×C10711yescharacteristic
1063C2×C4⋊C4C23×C10711yescharacteristic
1064C2×C4⋊C4C23×C10711yescharacteristic
1065C2×C4⋊C4C23×C10711yescharacteristic
1066C2×C4⋊C4C23×C10711yescharacteristic
1067C2×C4⋊C4C23×C10711yescharacteristic
1068C2×C4⋊C4C23×C10711yescharacteristic
1069C2×C4⋊C4C23×C10711yescharacteristic
1070C2×C4⋊C4C23×C10711yescharacteristic
1071C2×C4⋊C4C23×C10711yescharacteristic
1072C2×C4⋊C4C23×C10711yescharacteristic
1073C2×C4⋊C4C23×C10711yescharacteristic
1074C2×C4⋊C4C23×C10711yescharacteristic
1075C2×C4⋊C4C23×C10711yescharacteristic
1076C2×C4⋊C4C23×C10711yescharacteristic
1077C2×C4⋊C4C23×C10711yescharacteristic
1078C2×C4⋊C4C23×C10711yescharacteristic
1079C2×C4⋊C4C23×C10711yescharacteristic
1080C2×C4⋊C4C23×C10711yescharacteristic
1081C2×C4⋊C4C23×C10711yescharacteristic
1082C2×C22⋊C4—24no—
1083C2×C22⋊C4—42no—
1084C2×C22⋊C4C23×C10711yescharacteristic
1085C2×C22⋊C4C23×C10711yescharacteristic
1086C2×C22⋊C4C23×C10711yescharacteristic
1087C2×C22⋊C4C23×C10711yescharacteristic
1088C2×C22⋊C4C23×C10711yescharacteristic
1089C2×C22⋊C4C23×C10711yescharacteristic
1090C2×C22⋊C4C23×C10711yescharacteristic
1091C2×C22⋊C4C23×C10711yescharacteristic
1092C2×C22⋊C4C23×C10711yescharacteristic
1093C2×C22⋊C4C23×C10711yescharacteristic
1094C2×C22⋊C4C23×C10711yescharacteristic
1095C2×C22⋊C4C23×C10711yescharacteristic
1096C2×C22⋊C4C23×C10711yescharacteristic
1097C2×C22⋊C4C23×C10711yescharacteristic
1098C2×C22⋊C4C23×C10711yescharacteristic
1099C2×C22⋊C4C23×C10711yescharacteristic
1100C2×C22⋊C4C23×C10711yescharacteristic
1101C2×C22⋊C4C23×C10711yescharacteristic
1102C2×C22⋊C4C23×C10711yescharacteristic
1103C2×C22⋊C4C23×C10711yescharacteristic
1104C2×C22⋊C4C23×C10711yescharacteristic
1105C2×C22⋊C4C23×C10711yescharacteristic
1106C2×C22⋊C4C23×C10711yescharacteristic
1107C2×C22⋊C4C23×C10711yescharacteristic
1108C2×C22⋊C4C23×C10711yescharacteristic
1109C2×C22⋊C4C23×C10711yescharacteristic
1110C2×C22⋊C4C23×C10711yescharacteristic
1111C2×C22⋊C4C23×C10711yescharacteristic
1112C2×C22⋊C4C23×C10711yescharacteristic
1113C2×C22⋊C4C23×C10711yescharacteristic
1114C2×C22⋊C4C23×C10711yescharacteristic
1115C2×C22⋊C4C23×C10711yescharacteristic
1116C2×C22⋊C4C23×C10711yescharacteristic
1117C2×C22⋊C4C23×C10711yescharacteristic
1118C2×C22⋊C4C23×C10711yescharacteristic
1119C2×C22⋊C4C23×C10711yescharacteristic
1120C2×C22⋊C4C23×C10711yescharacteristic
1121C2×C22⋊C4C23×C10711yescharacteristic
1122C2×C22⋊C4C23×C10711yescharacteristic
1123C2×C22⋊C4C23×C10711yescharacteristic
1124C2×C22⋊C4C23×C10711yescharacteristic
1125C2×C22⋊C4C23×C10711yescharacteristic
1126C2×C22⋊C4C23×C10711yescharacteristic
1127C2×C22⋊C4C23×C10711yescharacteristic
1128C2×C22⋊C4C23×C10711yescharacteristic
1129C2×C22⋊C4C23×C10711yescharacteristic
1130C2×C22⋊C4C23×C10711yescharacteristic
1131C2×C22⋊C4C23×C10711yescharacteristic
1132C2×C22⋊C4C23×C10711yescharacteristic
1133C2×C22⋊C4C23×C10711yescharacteristic
1134C2×C42C23×C10711yescharacteristic
1135C2×C42C23×C10711yescharacteristic
1136C2×C42C23×C10711yescharacteristic
1137C2×C42C23×C10711yescharacteristic
1138C2×C42C23×C10711yescharacteristic
1139#95C23×C10711yescharacteristic
1140#95C23×C10711yescharacteristic
1141#95C23×C10711yescharacteristic
1142#95C23×C10711yescharacteristic
1143#95C23×C10711yescharacteristic
1144#95C23×C10711yescharacteristic
1145#95C23×C10711yescharacteristic
1146#95C23×C10711yescharacteristic
1147#95C23×C10711yescharacteristic
1148#95C23×C10711yescharacteristic
1149#95C23×C10711yescharacteristic
1150#95C23×C10711yescharacteristic
1151#95C23×C10711yescharacteristic
1152#95C23×C10711yescharacteristic
1153#95C23×C10711yescharacteristic
1154#95C23×C10711yescharacteristic
1155#95C23×C10711yescharacteristic
1156#95C23×C10711yescharacteristic
1157#95C23×C10711yescharacteristic
1158#95C23×C10711yescharacteristic
1159#95C23×C10711yescharacteristic
1160#95C23×C10711yescharacteristic
1161#95C23×C10711yescharacteristic
1162#95C23×C10711yescharacteristic
1163#95C23×C10711yescharacteristic
1164#95C23×C10711yescharacteristic
1165#95C23×C10711yescharacteristic
1166#95C23×C10711yescharacteristic
1167#95C23×C10711yescharacteristic
1168#95C23×C10711yescharacteristic
1169#95C23×C10711yescharacteristic
1170#95C23×C10711yescharacteristic
1171#95C23×C10711yescharacteristic
1172#95C23×C10711yescharacteristic
1173#95C23×C10711yescharacteristic
1174#95C23×C10711yescharacteristic
1175#95C23×C10711yescharacteristic
1176#95C23×C10711yescharacteristic
1177#95C23×C10711yescharacteristic
1178#95C23×C10711yescharacteristic
1179#95C23×C10711yescharacteristic
1180#95C23×C10711yescharacteristic
1181#95C23×C10711yescharacteristic
1182#95C23×C10711yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24C24×C10711yescharacteristic
1191C24C24×C10711yescharacteristic
1192C24C24×C10711yescharacteristic
1193C24C24×C10711yescharacteristic
1194C24C24×C10711yescharacteristic
1195C24C24×C10711yescharacteristic
1196#41—416no—
1197C2×Q8—22no—
1198C2×Q8—41no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×Q8—41no—
1202C2×Q8—41no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—416no—
1278C22×C4#41×C10714yes—
1279C22×C4C24×C10711yescharacteristic
1280C22×C4C24×C10711yescharacteristic
1281C22×C4C24×C10711yescharacteristic
1282C22×C4C24×C10711yescharacteristic
1283C22×C4C24×C10711yescharacteristic
1284C22×C4C24×C10711yescharacteristic
1285C22×C4C24×C10711yescharacteristic
1286C22×C4C24×C10711yescharacteristic
1287C22×C4C24×C10711yescharacteristic
1288C22×C4C24×C10711yescharacteristic
1289C22×C4C24×C10711yescharacteristic
1290C22×C4C24×C10711yescharacteristic
1291C22×C4C24×C10711yescharacteristic
1292C22×C4C24×C10711yescharacteristic
1293C22×C4C24×C10711yescharacteristic
1294C22×C4C24×C10711yescharacteristic
1295C22×C4C24×C10711yescharacteristic
1296C22×C4C24×C10711yescharacteristic
1297C22×C4C24×C10711yescharacteristic
1298C22×C4C24×C10711yescharacteristic
1299C22×C4C24×C10711yescharacteristic
1300C22×C4C24×C10711yescharacteristic
1301C22×C4C24×C10711yescharacteristic
1302C22×C4C24×C10711yescharacteristic
1303C22×C4C24×C10711yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C42—41no—
1386C42—41no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23C2×#41×C10712yes—
1432C23H(5,𝔽2)×C10712yes—
1433C23H(5,𝔽2)×C10712yes—
1434C23H(5,𝔽2)×C10712yes—
1435C232−1+4×C10712yes—
1436C23C25×C10711yescharacteristic
1437Q8—44no—
1438Q8—82no—
1439D4—44no—
1440D4—44no—
1441D4—44no—
1442D4—44no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—82no—
1449D4—82no—
1450D4—82no—
1451C2×C4—28no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—82no—
1534C2×C4—82no—
1535C2×C4—82no—
1536C2×C4C2×#41×C10712yes—
1537C2×C4C2×#41×C10712yes—
1538C2×C4H(5,𝔽2)×C10712yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22#538×C10714yes—
1582C22C22×#41×C10711yescharacteristic
1583C22C2×H(5,𝔽2)×C10711yescharacteristic
1584C22C2×H(5,𝔽2)×C10711yescharacteristic
1585C22C2×H(5,𝔽2)×C10711yescharacteristic
1586C22C2×H(5,𝔽2)×C10711yescharacteristic
1587C22C2×2−1+4×C10711yescharacteristic
1588C22#585×C10711yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—81no—
1620C2C2×#538×C10711yescharacteristic
1621C2C107×#349211yescharacteristic
1622C2C107×#350611yescharacteristic
1623C2C107×#353211yescharacteristic
1624C2C107×#353411yescharacteristic
1625C2C107×#353511yescharacteristic
1626C2C107×#353611yescharacteristic
subgroupG/H
center, socleC23×C107C25
commutator, Frattini, cosocleC23C25×C107
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C107×#2849C2semidirect
2. C107×#2847C2semidirect
3. C107×#2804C2semidirect
4. C107×#2797C2semidirect
5. C107×#2788C2semidirect
6. C107×#2784C2semidirect
7. C107×#2780C2semidirect
8. C107×#2778C2semidirect
9. C107×#2751C2semidirect
10. C107×#2750C2semidirect
11. C107×#2745C2semidirect
12. C107×#2714C2semidirect
13. C107×#2710C2semidirect
14. C107×#2708C2semidirect
15. C107×#2708C2semidirect
16. C107×#2695C2semidirect
17. C107×#2686C2semidirect
18. C107×#2682C2semidirect
19. C107×#2643C2semidirect
20. C107×#2639C2semidirect
21. C107×#2481C2semidirect
22. C107×#2472C2semidirect
23. C107×#2443C2semidirect
24. C107×#2438C2semidirect
25. C107×#2430C2semidirect
26. C107×#2424C2semidirect
27. C107×#2411C2semidirect
28. C107×#2404C2semidirect
29. C107×#2322C2semidirect
30. C107×#2311C2semidirect
31. C2×#385×C107C2semidirect
34. C2×#126×C107C22semidirect
39. C2×#123×C107C22semidirect
55. #401×C107C22semidirect
56. #400×C107C22semidirect
57. #400×C107C22semidirect
58. #400×C107C22semidirect
59. #400×C107C22semidirect
60. #400×C107C22semidirect
61. #400×C107C22semidirect
62. #400×C107C22semidirect
63. #400×C107C22semidirect
64. #399×C107C22semidirect
65. #398×C107C22semidirect
66. #398×C107C22semidirect
67. #398×C107C22semidirect
69. #397×C107C22semidirect
70. #397×C107C22semidirect
71. #397×C107C22semidirect
72. #397×C107C22semidirect
73. #397×C107C22semidirect
74. #397×C107C22semidirect
75. #397×C107C22semidirect
79. #396×C107C22semidirect
80. #396×C107C22semidirect
81. #395×C107C22semidirect
82. #395×C107C22semidirect
89. #394×C107C22semidirect
90. #394×C107C22semidirect
91. #394×C107C22semidirect
92. #394×C107C22semidirect
96. #393×C107C22semidirect
97. #393×C107C22semidirect
98. #393×C107C22semidirect
102. #392×C107C22semidirect
103. #391×C107C22semidirect
104. #391×C107C22semidirect
105. #391×C107C22semidirect
110. #390×C107C22semidirect
111. #390×C107C22semidirect
112. #389×C107C22semidirect
113. #389×C107C22semidirect
114. #389×C107C22semidirect
120. #388×C107C22semidirect
121. #388×C107C22semidirect
122. #388×C107C22semidirect
123. #388×C107C22semidirect
124. #387×C107C22semidirect
125. #387×C107C22semidirect
126. #387×C107C22semidirect
127. #387×C107C22semidirect
128. #387×C107C22semidirect
129. #387×C107C22semidirect
130. #387×C107C22semidirect
152. #386×C107C22semidirect
153. #386×C107C22semidirect
168. #385×C107C22semidirect
169. #385×C107C22semidirect
170. #385×C107C22semidirect
171. #385×C107C22semidirect
172. #385×C107C22semidirect
179. #380×C107C22semidirect
180. #380×C107C22semidirect
181. #380×C107C22semidirect
182. #380×C107C22semidirect
800. #36791C107direct (N × H)
814. #2849C2×C107semidirect
815. #2847C2×C107semidirect
816. #2804C2×C107semidirect
817. #2797C2×C107semidirect
818. #2788C2×C107semidirect
819. #2784C2×C107semidirect
820. #2780C2×C107semidirect
821. #2778C2×C107semidirect
822. #2751C2×C107semidirect
823. #2750C2×C107semidirect
824. #2745C2×C107semidirect
825. #2714C2×C107semidirect
826. #2710C2×C107semidirect
827. #2708C2×C107semidirect
828. #2708C2×C107semidirect
829. #2695C2×C107semidirect
830. #2686C2×C107semidirect
831. #2682C2×C107semidirect
832. #2643C2×C107semidirect
833. #2639C2×C107semidirect
834. #2481C2×C107semidirect
835. #2472C2×C107semidirect
836. #2443C2×C107semidirect
837. #2438C2×C107semidirect
838. #2430C2×C107semidirect
839. #2424C2×C107semidirect
840. #2411C2×C107semidirect
841. #2404C2×C107semidirect
842. #2322C2×C107semidirect
843. #2311C2×C107semidirect
844. C2×#385C2×C107semidirect
845. C107#36791direct (N × H)
848. C2×#126C22×C107semidirect
853. C2×#123C22×C107semidirect
869. #401C22×C107semidirect
870. #400C22×C107semidirect
871. #400C22×C107semidirect
872. #400C22×C107semidirect
873. #400C22×C107semidirect
874. #400C22×C107semidirect
875. #400C22×C107semidirect
876. #400C22×C107semidirect
877. #400C22×C107semidirect
878. #399C22×C107semidirect
879. #398C22×C107semidirect
880. #398C22×C107semidirect
881. #398C22×C107semidirect
883. #397C22×C107semidirect
884. #397C22×C107semidirect
885. #397C22×C107semidirect
886. #397C22×C107semidirect
887. #397C22×C107semidirect
888. #397C22×C107semidirect
889. #397C22×C107semidirect
893. #396C22×C107semidirect
894. #396C22×C107semidirect
895. #395C22×C107semidirect
896. #395C22×C107semidirect
903. #394C22×C107semidirect
904. #394C22×C107semidirect
905. #394C22×C107semidirect
906. #394C22×C107semidirect
910. #393C22×C107semidirect
911. #393C22×C107semidirect
912. #393C22×C107semidirect
916. #392C22×C107semidirect
917. #391C22×C107semidirect
918. #391C22×C107semidirect
919. #391C22×C107semidirect
924. #390C22×C107semidirect
925. #390C22×C107semidirect
926. #389C22×C107semidirect
927. #389C22×C107semidirect
928. #389C22×C107semidirect
934. #388C22×C107semidirect
935. #388C22×C107semidirect
936. #388C22×C107semidirect
937. #388C22×C107semidirect
938. #387C22×C107semidirect
939. #387C22×C107semidirect
940. #387C22×C107semidirect
941. #387C22×C107semidirect
942. #387C22×C107semidirect
943. #387C22×C107semidirect
944. #387C22×C107semidirect
966. #386C22×C107semidirect
967. #386C22×C107semidirect
982. #385C22×C107semidirect
983. #385C22×C107semidirect
984. #385C22×C107semidirect
985. #385C22×C107semidirect
986. #385C22×C107semidirect
993. #380C22×C107semidirect
994. #380C22×C107semidirect
995. #380C22×C107semidirect
996. #380C22×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#28492
C107×#28472
C107×#28042
C107×#27972
C107×#27882
C107×#27842
C107×#27802
C107×#27782
C107×#27512
C107×#27502
C107×#27452
C107×#27142
C107×#27102
C107×#27082
C107×#26952
C107×#26862
C107×#26822
C107×#26432
C107×#26392
C107×#24812
C107×#24722
C107×#24432
C107×#24382
C107×#24302
C107×#24242
C107×#24112
C107×#24042
C107×#23222
C107×#23112
C2×#385×C1072
#36791107