Finite Group Databasebeta

← C107×#36784 #41062748

Subgroups — C107×#36784 #41062748

Order 27392.

1736 conjugacy classes of subgroups.

The subgroup lattice has 1502 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#2853C211yesmaximal, characteristic, complemented
2C107×#2850C211yesmaximal, characteristic, complemented
3C107×#2783C211yesmaximal, characteristic, complemented
4C107×#2779C211yesmaximal, characteristic, complemented
5C107×#2772C211yesmaximal, characteristic, complemented
6C107×#2757C211yesmaximal, characteristic, complemented
7C107×#2753C211yesmaximal, characteristic, complemented
8C107×#2744C211yesmaximal, characteristic, complemented
9C107×#2737C211yesmaximal, characteristic, complemented
10C107×#2735C211yesmaximal, characteristic, complemented
11C107×#2731C211yesmaximal, characteristic, complemented
12C107×#2701C211yesmaximal, characteristic, complemented
13C107×#2693C211yesmaximal, characteristic, complemented
14C107×#2687C211yesmaximal, characteristic, complemented
15C107×#2684C211yesmaximal, characteristic, complemented
16C107×#2684C211yesmaximal, characteristic, complemented
17C107×#2678C211yesmaximal, characteristic
18C107×#2674C211yesmaximal, characteristic, complemented
19C107×#2651C211yesmaximal, characteristic, complemented
20C107×#2650C211yesmaximal, characteristic, complemented
21C107×#2602C211yesmaximal, characteristic, complemented
22C107×#2595C211yesmaximal, characteristic, complemented
23C107×#2557C211yesmaximal, characteristic, complemented
24C107×#2534C211yesmaximal, characteristic, complemented
25C107×#2532C211yesmaximal, characteristic, complemented
26C107×#2531C211yesmaximal, characteristic, complemented
27C107×#2439C211yesmaximal, characteristic, complemented
28C107×#2411C211yesmaximal, characteristic, complemented
29C107×#2335C211yesmaximal, characteristic, complemented
30C107×#2312C211yesmaximal, characteristic, complemented
31C107×#2290C211yesmaximal, characteristic, complemented
32C2×C4⋊Q8×C107C2211yescharacteristic, complemented
33C2×#124×C107C2211yescharacteristic
34C2×#124×C107C2211yescharacteristic
35C2×#123×C107C2211yescharacteristic
36C2×#123×C107C2211yescharacteristic
37C2×#123×C107C2211yescharacteristic
38C2×#123×C107C2211yescharacteristic, complemented
39C2×C22⋊Q8×C107C2211yescharacteristic, complemented
40C2×#121×C107C2211yescharacteristic
41C2×#120×C107C2211yescharacteristic
42C2×#120×C107C2211yescharacteristic
43C2×C4×D4×C107C2211yescharacteristic
44C2×#117×C107C2211yescharacteristic
45C22×C22⋊C4×C107C2211yescharacteristic
46C22×C42×C107C2211yescharacteristic, complemented
47#400×C107C2211yescharacteristic, complemented
48#400×C107C2211yescharacteristic, complemented
49#400×C107C2211yescharacteristic, complemented
50#400×C107C2211yescharacteristic, complemented
51#400×C107C2211yescharacteristic, complemented
52#399×C107C2211yescharacteristic
53#398×C107C2211yescharacteristic, complemented
54#398×C107C2211yescharacteristic, complemented
55#398×C107C2211yescharacteristic, complemented
56#398×C107C2211yescharacteristic, complemented
57#397×C107C2211yescharacteristic
58#397×C107C2211yescharacteristic
59#397×C107C2211yescharacteristic
60#397×C107C2211yescharacteristic
61#397×C107C2211yescharacteristic
62#397×C107C2211yescharacteristic
63#397×C107C2211yescharacteristic
64#397×C107C2211yescharacteristic
65#397×C107C2211yescharacteristic, complemented
66#397×C107C2211yescharacteristic, complemented
67#397×C107C2211yescharacteristic, complemented
68#397×C107C2211yescharacteristic, complemented
69#396×C107C2211yescharacteristic
70#396×C107C2211yescharacteristic
71#396×C107C2211yescharacteristic
72#396×C107C2211yescharacteristic
73#396×C107C2211yescharacteristic
74#396×C107C2211yescharacteristic
75#396×C107C2211yescharacteristic
76#396×C107C2211yescharacteristic, complemented
77#395×C107C2211yescharacteristic, complemented
78#394×C107C2211yescharacteristic
79#394×C107C2211yescharacteristic
80#394×C107C2211yescharacteristic
81#394×C107C2211yescharacteristic
82#394×C107C2211yescharacteristic
83#394×C107C2211yescharacteristic
84#394×C107C2211yescharacteristic
85#394×C107C2211yescharacteristic
86#394×C107C2211yescharacteristic
87#394×C107C2211yescharacteristic
88#393×C107C2211yescharacteristic
89#393×C107C2211yescharacteristic
90#393×C107C2211yescharacteristic
91#393×C107C2211yescharacteristic
92#393×C107C2211yescharacteristic, complemented
93#392×C107C2211yescharacteristic
94#392×C107C2211yescharacteristic
95#391×C107C2211yescharacteristic, complemented
96#391×C107C2211yescharacteristic, complemented
97#391×C107C2211yescharacteristic, complemented
98#390×C107C2211yescharacteristic
99#390×C107C2211yescharacteristic
100#390×C107C2211yescharacteristic
101#390×C107C2211yescharacteristic
102#390×C107C2211yescharacteristic, complemented
103#389×C107C2211yescharacteristic, complemented
104#389×C107C2211yescharacteristic, complemented
105#389×C107C2211yescharacteristic, complemented
106#389×C107C2211yescharacteristic, complemented
107#388×C107C2211yescharacteristic
108#388×C107C2211yescharacteristic
109#388×C107C2211yescharacteristic
110#388×C107C2211yescharacteristic
111#388×C107C2211yescharacteristic
112#388×C107C2211yescharacteristic
113#388×C107C2211yescharacteristic
114#388×C107C2211yescharacteristic
115#388×C107C2211yescharacteristic
116#388×C107C2211yescharacteristic
117#388×C107C2211yescharacteristic
118#388×C107C2211yescharacteristic
119#388×C107C2211yescharacteristic
120#388×C107C2211yescharacteristic
121#388×C107C2211yescharacteristic
122#388×C107C2211yescharacteristic
123#388×C107C2211yescharacteristic
124#388×C107C2211yescharacteristic
125#388×C107C2211yescharacteristic
126#388×C107C2211yescharacteristic
127#388×C107C2211yescharacteristic
128#388×C107C2211yescharacteristic
129#388×C107C2211yescharacteristic
130#388×C107C2211yescharacteristic, complemented
131#388×C107C2211yescharacteristic, complemented
132#388×C107C2211yescharacteristic, complemented
133#388×C107C2211yescharacteristic, complemented
134#388×C107C2211yescharacteristic, complemented
135#388×C107C2211yescharacteristic, complemented
136#388×C107C2211yescharacteristic, complemented
137#387×C107C2211yescharacteristic, complemented
138#387×C107C2211yescharacteristic, complemented
139#387×C107C2211yescharacteristic, complemented
140#387×C107C2211yescharacteristic, complemented
141#387×C107C2211yescharacteristic, complemented
142#387×C107C2211yescharacteristic, complemented
143#387×C107C2211yescharacteristic, complemented
144#387×C107C2211yescharacteristic, complemented
145#387×C107C2211yescharacteristic, complemented
146#387×C107C2211yescharacteristic, complemented
147#387×C107C2211yescharacteristic, complemented
148#387×C107C2211yescharacteristic, complemented
149#386×C107C2211yescharacteristic
150#386×C107C2211yescharacteristic
151#386×C107C2211yescharacteristic
152#386×C107C2211yescharacteristic
153#386×C107C2211yescharacteristic
154#386×C107C2211yescharacteristic
155#386×C107C2211yescharacteristic
156#386×C107C2211yescharacteristic
157#386×C107C2211yescharacteristic
158#386×C107C2211yescharacteristic
159#386×C107C2211yescharacteristic, complemented
160#386×C107C2211yescharacteristic, complemented
161#385×C107C2211yescharacteristic
162#385×C107C2211yescharacteristic, complemented
163#385×C107C2211yescharacteristic, complemented
164#385×C107C2211yescharacteristic, complemented
165#385×C107C2211yescharacteristic, complemented
166#385×C107C2211yescharacteristic, complemented
167#383×C107C2211yescharacteristic, complemented
168#382×C107C2211yescharacteristic, complemented
169#382×C107C2211yescharacteristic, complemented
170#381×C107C2211yescharacteristic
171#381×C107C2211yescharacteristic, complemented
172#380×C107C2211yescharacteristic
173#380×C107C2211yescharacteristic
174#380×C107C2211yescharacteristic
175#380×C107C2211yescharacteristic, complemented
176#379×C107C2211yescharacteristic
177#379×C107C2211yescharacteristic
178#379×C107C2211yescharacteristic
179#379×C107C2211yescharacteristic
180C4×C4⋊C4×C107C2211yescharacteristic, complemented
181C4×C4⋊C4×C107C2211yescharacteristic, complemented
182C4×C22⋊C4×C107C2211yescharacteristic
183C4×C22⋊C4×C107C2211yescharacteristic
184C4×C22⋊C4×C107C2211yescharacteristic, complemented
185C4×C22⋊C4×C107C2211yescharacteristic, complemented
186#376×C107C2211yescharacteristic, complemented
187C25×C107C2311yescharacteristic
188C22×Q8×C107C2311yescharacteristic
189C22×Q8×C107C2311yescharacteristic
190C22×D4×C107C2311yescharacteristic
191C22×D4×C107C2311yescharacteristic
192C22×D4×C107C2311yescharacteristic
193C22×D4×C107C2311yescharacteristic
194C22×D4×C107C2311yescharacteristic
195C22×D4×C107C2311yescharacteristic
196C22×D4×C107C2311yescharacteristic
197C23×C4×C107C2311yescharacteristic
198C23×C4×C107C2311yescharacteristic
199C23×C4×C107C2311yescharacteristic
200C23×C4×C107C2311yescharacteristic
201C23×C4×C107C2311yescharacteristic
202C23×C4×C107C2311yescharacteristic
203C4⋊Q8×C107—42no—
204#124×C107—42no—
205#124×C107—42no—
206#123×C107—24no—
207#123×C107—42no—
208#123×C107—42no—
209#123×C107—42no—
210C22⋊Q8×C107—42no—
211#121×C107—42no—
212#120×C107—42no—
213#120×C107—42no—
214C4×D4×C107—24no—
215#117×C107—42no—
216C2×C4⋊C4×C107C2311yescharacteristic
217C2×C4⋊C4×C107C2311yescharacteristic
218C2×C4⋊C4×C107C2311yescharacteristic
219C2×C4⋊C4×C107C2311yescharacteristic
220C2×C4⋊C4×C107C2311yescharacteristic
221C2×C4⋊C4×C107C2311yescharacteristic
222C2×C4⋊C4×C107C2311yescharacteristic
223C2×C4⋊C4×C107C2311yescharacteristic
224C2×C4⋊C4×C107C2311yescharacteristic
225C2×C4⋊C4×C107C2311yescharacteristic
226C2×C4⋊C4×C107C2311yescharacteristic
227C2×C4⋊C4×C107C2311yescharacteristic
228C2×C4⋊C4×C107C2311yescharacteristic
229C2×C4⋊C4×C107C2311yescharacteristic
230C2×C4⋊C4×C107C2311yescharacteristic
231C2×C4⋊C4×C107C2311yescharacteristic
232C2×C4⋊C4×C107C2311yescharacteristic
233C2×C4⋊C4×C107C2311yescharacteristic
234C2×C4⋊C4×C107C2311yescharacteristic
235C2×C4⋊C4×C107C2311yescharacteristic
236C2×C4⋊C4×C107C2311yescharacteristic
237C2×C4⋊C4×C107C2311yescharacteristic
238C2×C4⋊C4×C107C2311yescharacteristic
239C2×C4⋊C4×C107C2311yescharacteristic
240C2×C4⋊C4×C107C2311yescharacteristic
241C2×C4⋊C4×C107C2311yescharacteristic
242C2×C4⋊C4×C107C2311yescharacteristic
243C2×C4⋊C4×C107C2311yescharacteristic
244C2×C4⋊C4×C107C2311yescharacteristic
245C2×C22⋊C4×C107—24no—
246C2×C22⋊C4×C107C2311yescharacteristic
247C2×C22⋊C4×C107C2311yescharacteristic
248C2×C22⋊C4×C107C2311yescharacteristic
249C2×C22⋊C4×C107C2311yescharacteristic
250C2×C22⋊C4×C107C2311yescharacteristic
251C2×C22⋊C4×C107C2311yescharacteristic
252C2×C22⋊C4×C107C2311yescharacteristic
253C2×C22⋊C4×C107C2311yescharacteristic
254C2×C22⋊C4×C107C2311yescharacteristic
255C2×C22⋊C4×C107C2311yescharacteristic
256C2×C22⋊C4×C107C2311yescharacteristic
257C2×C22⋊C4×C107C2311yescharacteristic
258C2×C22⋊C4×C107C2311yescharacteristic
259C2×C22⋊C4×C107C2311yescharacteristic
260C2×C22⋊C4×C107C2311yescharacteristic
261C2×C22⋊C4×C107C2311yescharacteristic
262C2×C22⋊C4×C107C2311yescharacteristic
263C2×C22⋊C4×C107C2311yescharacteristic
264C2×C22⋊C4×C107C2311yescharacteristic
265C2×C22⋊C4×C107C2311yescharacteristic
266C2×C22⋊C4×C107C2311yescharacteristic
267C2×C22⋊C4×C107C2311yescharacteristic
268C2×C22⋊C4×C107C2311yescharacteristic
269C2×C22⋊C4×C107C2311yescharacteristic
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×C42×C107—42no—
299C2×C42×C107C2311yescharacteristic
300C2×C42×C107C2311yescharacteristic
301C2×C42×C107C2311yescharacteristic
302C2×C42×C107C2311yescharacteristic
303C2×C42×C107C2311yescharacteristic
304C2×C42×C107C2311yescharacteristic
305C2×C42×C107C2311yescharacteristic
306C2×C42×C107C2311yescharacteristic
307C2×C42×C107C2311yescharacteristic
308C2×C42×C107C2311yescharacteristic
309C2×C42×C107C2311yescharacteristic
310C2×C42×C107C2311yescharacteristic
311#95×C107C2311yescharacteristic
312#95×C107C2311yescharacteristic
313#95×C107C2311yescharacteristic
314#95×C107C2311yescharacteristic
315#95×C107C2311yescharacteristic
316#95×C107C2311yescharacteristic
317#95×C107C2311yescharacteristic
318#95×C107C2311yescharacteristic
319#95×C107C2311yescharacteristic
320#95×C107C2311yescharacteristic
321#95×C107C2311yescharacteristic
322#95×C107C2311yescharacteristic
323#95×C107C2311yescharacteristic
324#95×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
357C24×C107—22no—
358C24×C107—41no—
359C24×C107—41no—
360C24×C107—41no—
361C24×C107—41no—
362C24×C107—41no—
363C24×C107—41no—
364C24×C107C2411yescharacteristic
365C24×C107C2411yescharacteristic
366C24×C107C2411yescharacteristic
367C24×C107C2411yescharacteristic
368C24×C107C2411yescharacteristic
369C2×Q8×C107—22no—
370C2×Q8×C107—41no—
371C2×Q8×C107—41no—
372C2×Q8×C107—41no—
373C2×Q8×C107—41no—
374C2×Q8×C107—41no—
375C2×D4×C107—22no—
376C2×D4×C107—22no—
377C2×D4×C107—22no—
378C2×D4×C107—22no—
379C2×D4×C107—22no—
380C2×D4×C107—22no—
381C2×D4×C107—22no—
382C2×D4×C107—41no—
383C2×D4×C107—41no—
384C2×D4×C107—41no—
385C2×D4×C107—41no—
386C2×D4×C107—41no—
387C2×D4×C107—41no—
388C2×D4×C107—41no—
389C2×D4×C107—41no—
390C2×D4×C107—41no—
391C2×D4×C107—41no—
392C2×D4×C107—41no—
393C2×D4×C107—41no—
394C2×D4×C107—41no—
395C2×D4×C107—41no—
396C22×C4×C107—22no—
397C22×C4×C107—22no—
398C22×C4×C107—22no—
399C22×C4×C107—22no—
400C22×C4×C107—41no—
401C22×C4×C107—41no—
402C22×C4×C107—41no—
403C22×C4×C107—41no—
404C22×C4×C107—41no—
405C22×C4×C107—41no—
406C22×C4×C107—41no—
407C22×C4×C107—41no—
408C22×C4×C107—41no—
409C22×C4×C107—41no—
410C22×C4×C107—41no—
411C22×C4×C107—41no—
412C22×C4×C107—41no—
413C22×C4×C107#4114yes—
414C22×C4×C107C2411yescharacteristic
415C22×C4×C107C2411yescharacteristic
416C22×C4×C107C2411yescharacteristic
417C22×C4×C107C2411yescharacteristic
418C22×C4×C107C2411yescharacteristic
419C22×C4×C107C2411yescharacteristic
420C22×C4×C107C2411yescharacteristic
421C22×C4×C107C2411yescharacteristic
422C22×C4×C107C2411yescharacteristic
423C22×C4×C107C2411yescharacteristic
424C22×C4×C107C2411yescharacteristic
425C22×C4×C107C2411yescharacteristic
426C22×C4×C107C2411yescharacteristic
427C22×C4×C107C2411yescharacteristic
428C22×C4×C107C2411yescharacteristic
429C22×C4×C107C2411yescharacteristic
430C22×C4×C107C2411yescharacteristic
431C22×C4×C107C2411yescharacteristic
432C22×C4×C107C2411yescharacteristic
433C22×C4×C107C2411yescharacteristic
434C22×C4×C107C2411yescharacteristic
435C22×C4×C107C2411yescharacteristic
436C22×C4×C107C2411yescharacteristic
437C22×C4×C107C2411yescharacteristic
438C22×C4×C107C2411yescharacteristic
439C22×C4×C107C2411yescharacteristic
440C4⋊C4×C107—22no—
441C4⋊C4×C107—22no—
442C4⋊C4×C107—22no—
443C4⋊C4×C107—22no—
444C4⋊C4×C107—22no—
445C4⋊C4×C107—41no—
446C4⋊C4×C107—41no—
447C4⋊C4×C107—41no—
448C4⋊C4×C107—41no—
449C4⋊C4×C107—41no—
450C4⋊C4×C107—41no—
451C4⋊C4×C107—41no—
452C4⋊C4×C107—41no—
453C4⋊C4×C107—41no—
454C4⋊C4×C107—41no—
455C4⋊C4×C107—41no—
456C4⋊C4×C107—41no—
457C4⋊C4×C107—41no—
458C4⋊C4×C107—41no—
459C4⋊C4×C107—41no—
460C4⋊C4×C107—41no—
461C4⋊C4×C107—41no—
462C4⋊C4×C107—41no—
463C4⋊C4×C107—41no—
464C4⋊C4×C107—41no—
465C4⋊C4×C107—41no—
466C4⋊C4×C107—41no—
467C4⋊C4×C107—41no—
468C4⋊C4×C107—41no—
469C22⋊C4×C107—22no—
470C22⋊C4×C107—22no—
471C22⋊C4×C107—22no—
472C22⋊C4×C107—22no—
473C22⋊C4×C107—22no—
474C22⋊C4×C107—22no—
475C22⋊C4×C107—22no—
476C22⋊C4×C107—22no—
477C22⋊C4×C107—22no—
478C22⋊C4×C107—22no—
479C22⋊C4×C107—22no—
480C22⋊C4×C107—22no—
481C22⋊C4×C107—22no—
482C22⋊C4×C107—22no—
483C22⋊C4×C107—22no—
484C22⋊C4×C107—41no—
485C22⋊C4×C107—41no—
486C22⋊C4×C107—41no—
487C22⋊C4×C107—41no—
488C22⋊C4×C107—41no—
489C22⋊C4×C107—41no—
490C22⋊C4×C107—41no—
491C22⋊C4×C107—41no—
492C22⋊C4×C107—41no—
493C22⋊C4×C107—41no—
494C22⋊C4×C107—41no—
495C22⋊C4×C107—41no—
496C22⋊C4×C107—41no—
497C22⋊C4×C107—41no—
498C22⋊C4×C107—41no—
499C22⋊C4×C107—41no—
500C22⋊C4×C107—41no—
501C22⋊C4×C107—41no—
502C22⋊C4×C107—41no—
503C22⋊C4×C107—41no—
504C22⋊C4×C107—41no—
505C22⋊C4×C107—41no—
506C22⋊C4×C107—41no—
507C22⋊C4×C107—41no—
508C22⋊C4×C107—41no—
509C22⋊C4×C107—41no—
510C22⋊C4×C107—41no—
511C22⋊C4×C107—41no—
512C22⋊C4×C107—41no—
513C22⋊C4×C107—41no—
514C22⋊C4×C107—41no—
515C22⋊C4×C107—41no—
516C22⋊C4×C107—41no—
517C22⋊C4×C107—41no—
518C22⋊C4×C107—41no—
519C22⋊C4×C107—41no—
520C22⋊C4×C107—41no—
521C42×C107—22no—
522C42×C107—22no—
523C42×C107—22no—
524C42×C107—41no—
525C42×C107—41no—
526C42×C107—41no—
527C42×C107—41no—
528C42×C107—41no—
529C42×C107—41no—
530C42×C107—41no—
531C42×C107—41no—
532C42×C107—41no—
533C23×C107—21no—
534C23×C107—21no—
535C23×C107—21no—
536C23×C107—21no—
537C23×C107—21no—
538C23×C107—21no—
539C23×C107—21no—
540C23×C107—21no—
541C23×C107—21no—
542C23×C107—21no—
543C23×C107—21no—
544C23×C107—21no—
545C23×C107—21no—
546C23×C107—21no—
547C23×C107—21no—
548C23×C107—21no—
549C23×C107—21no—
550C23×C107—21no—
551C23×C107—21no—
552C23×C107—21no—
553C23×C107—21no—
554C23×C107—21no—
555C23×C107—21no—
556C23×C107—21no—
557C23×C107—21no—
558C23×C107—21no—
559C23×C107—21no—
560C23×C107—21no—
561C23×C107—21no—
562C23×C107—21no—
563C23×C107—21no—
564C23×C107—21no—
565C23×C107—21no—
566C23×C107—44no—
567C23×C107—82no—
568C23×C107—82no—
569C23×C107—82no—
570C23×C107—82no—
571C23×C107—82no—
572C23×C107—82no—
573C23×C107C2×#4112yes—
574C23×C107H(5,𝔽2)12yes—
575C23×C107C2511yescharacteristic
576Q8×C107—82no—
577Q8×C107—82no—
578D4×C107—44no—
579D4×C107—82no—
580D4×C107—82no—
581D4×C107—82no—
582D4×C107—82no—
583D4×C107—82no—
584D4×C107—82no—
585C2×C4×C107—21no—
586C2×C4×C107—21no—
587C2×C4×C107—21no—
588C2×C4×C107—21no—
589C2×C4×C107—21no—
590C2×C4×C107—21no—
591C2×C4×C107—21no—
592C2×C4×C107—21no—
593C2×C4×C107—21no—
594C2×C4×C107—21no—
595C2×C4×C107—21no—
596C2×C4×C107—21no—
597C2×C4×C107—21no—
598C2×C4×C107—21no—
599C2×C4×C107—21no—
600C2×C4×C107—21no—
601C2×C4×C107—21no—
602C2×C4×C107—21no—
603C2×C4×C107—21no—
604C2×C4×C107—21no—
605C2×C4×C107—21no—
606C2×C4×C107—21no—
607C2×C4×C107—21no—
608C2×C4×C107—21no—
609C2×C4×C107—21no—
610C2×C4×C107—21no—
611C2×C4×C107—21no—
612C2×C4×C107—21no—
613C2×C4×C107—21no—
614C2×C4×C107—21no—
615C2×C4×C107—21no—
616C2×C4×C107—21no—
617C2×C4×C107—21no—
618C2×C4×C107—21no—
619C2×C4×C107—21no—
620C2×C4×C107—21no—
621C2×C4×C107—21no—
622C2×C4×C107—21no—
623C2×C4×C107—21no—
624C2×C4×C107—21no—
625C2×C4×C107—21no—
626C2×C4×C107—21no—
627C2×C4×C107—21no—
628C2×C4×C107—21no—
629C2×C4×C107—21no—
630C2×C4×C107—21no—
631C2×C4×C107—21no—
632C2×C4×C107—21no—
633C2×C4×C107—21no—
634C2×C4×C107—21no—
635C2×C4×C107—21no—
636C2×C4×C107—21no—
637C2×C4×C107—21no—
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—44no—
661C2×C4×C107—44no—
662C2×C4×C107—44no—
663C2×C4×C107—44no—
664C2×C4×C107—82no—
665C2×C4×C107—82no—
666C2×C4×C107C2×#4112yes—
667C2×C4×C107C2×#4112yes—
668C2×C4×C107H(5,𝔽2)12yes—
669C22×C107—22no—
670C22×C107—22no—
671C22×C107—22no—
672C22×C107—22no—
673C22×C107—22no—
674C22×C107—22no—
675C22×C107—41no—
676C22×C107—41no—
677C22×C107—41no—
678C22×C107—41no—
679C22×C107—41no—
680C22×C107—41no—
681C22×C107—41no—
682C22×C107—41no—
683C22×C107—41no—
684C22×C107—41no—
685C22×C107—41no—
686C22×C107—41no—
687C22×C107—41no—
688C22×C107—41no—
689C22×C107—41no—
690C22×C107—41no—
691C22×C107—41no—
692C22×C107—41no—
693C22×C107—41no—
694C22×C107—41no—
695C22×C107—41no—
696C22×C107—41no—
697C22×C107—41no—
698C22×C107—41no—
699C22×C107—41no—
700C22×C107—41no—
701C22×C107—41no—
702C22×C107—41no—
703C22×C107—41no—
704C22×C107—88no—
705C22×C107C22×#4111yescharacteristic
706C22×C107C2×H(5,𝔽2)11yescharacteristic
707C22×C107C2×H(5,𝔽2)11yescharacteristic
708C22×C107#58511yescharacteristic
709C22×C107#58511yescharacteristic
710C22×C107#58511yescharacteristic
711C22×C107#58511yescharacteristic
712C4×C107—22no—
713C4×C107—22no—
714C4×C107—22no—
715C4×C107—41no—
716C4×C107—41no—
717C4×C107—41no—
718C4×C107—41no—
719C4×C107—41no—
720C4×C107—41no—
721C4×C107—41no—
722C4×C107—41no—
723C4×C107—41no—
724C4×C107—41no—
725C4×C107—41no—
726C4×C107—41no—
727C4×C107—41no—
728C4×C107—41no—
729C4×C107—41no—
730C4×C107—41no—
731C4×C107—41no—
732C4×C107—41no—
733C4×C107—41no—
734C4×C107—41no—
735C4×C107—41no—
736C4×C107—41no—
737C4×C107—41no—
738#36784C10711yesmaximal, characteristic, direct product factor, Sylow
739C2×C107—42no—
740C2×C107—42no—
741C2×C107—81no—
742C2×C107—81no—
743C2×C107—81no—
744C2×C107#345511yescharacteristic
745C2×C107#349411yescharacteristic
746C2×C107#350511yescharacteristic
747C2×C107#353411yescharacteristic
748C2×C107#354011yescharacteristic
749C2×C107#354511yescharacteristic
750C2×C107#356611yescharacteristic
751#2853C2×C10711yescharacteristic, complemented
752#2850C2×C10711yescharacteristic, complemented
753#2783C2×C10711yescharacteristic, complemented
754#2779C2×C10711yescharacteristic, complemented
755#2772C2×C10711yescharacteristic, complemented
756#2757C2×C10711yescharacteristic, complemented
757#2753C2×C10711yescharacteristic, complemented
758#2744C2×C10711yescharacteristic, complemented
759#2737C2×C10711yescharacteristic, complemented
760#2735C2×C10711yescharacteristic, complemented
761#2731C2×C10711yescharacteristic, complemented
762#2701C2×C10711yescharacteristic, complemented
763#2693C2×C10711yescharacteristic, complemented
764#2687C2×C10711yescharacteristic, complemented
765#2684C2×C10711yescharacteristic, complemented
766#2684C2×C10711yescharacteristic, complemented
767#2678C2×C10711yescharacteristic
768#2674C2×C10711yescharacteristic, complemented
769#2651C2×C10711yescharacteristic, complemented
770#2650C2×C10711yescharacteristic, complemented
771#2602C2×C10711yescharacteristic, complemented
772#2595C2×C10711yescharacteristic, complemented
773#2557C2×C10711yescharacteristic, complemented
774#2534C2×C10711yescharacteristic, complemented
775#2532C2×C10711yescharacteristic, complemented
776#2531C2×C10711yescharacteristic, complemented
777#2439C2×C10711yescharacteristic, complemented
778#2411C2×C10711yescharacteristic, complemented
779#2335C2×C10711yescharacteristic, complemented
780#2312C2×C10711yescharacteristic, complemented
781#2290C2×C10711yescharacteristic, complemented
782C107#3678411yescharacteristic, direct product factor, Sylow
783C2×C4⋊Q8C22×C10711yescharacteristic, complemented
784C2×#124C22×C10711yescharacteristic
785C2×#124C22×C10711yescharacteristic
786C2×#123C22×C10711yescharacteristic
787C2×#123C22×C10711yescharacteristic
788C2×#123C22×C10711yescharacteristic
789C2×#123C22×C10711yescharacteristic, complemented
790C2×C22⋊Q8C22×C10711yescharacteristic, complemented
791C2×#121C22×C10711yescharacteristic
792C2×#120C22×C10711yescharacteristic
793C2×#120C22×C10711yescharacteristic
794C2×C4×D4C22×C10711yescharacteristic
795C2×#117C22×C10711yescharacteristic
796C22×C22⋊C4C22×C10711yescharacteristic
797C22×C42C22×C10711yescharacteristic, complemented
798#400C22×C10711yescharacteristic, complemented
799#400C22×C10711yescharacteristic, complemented
800#400C22×C10711yescharacteristic, complemented
801#400C22×C10711yescharacteristic, complemented
802#400C22×C10711yescharacteristic, complemented
803#399C22×C10711yescharacteristic
804#398C22×C10711yescharacteristic, complemented
805#398C22×C10711yescharacteristic, complemented
806#398C22×C10711yescharacteristic, complemented
807#398C22×C10711yescharacteristic, complemented
808#397C22×C10711yescharacteristic
809#397C22×C10711yescharacteristic
810#397C22×C10711yescharacteristic
811#397C22×C10711yescharacteristic
812#397C22×C10711yescharacteristic
813#397C22×C10711yescharacteristic
814#397C22×C10711yescharacteristic
815#397C22×C10711yescharacteristic
816#397C22×C10711yescharacteristic, complemented
817#397C22×C10711yescharacteristic, complemented
818#397C22×C10711yescharacteristic, complemented
819#397C22×C10711yescharacteristic, complemented
820#396C22×C10711yescharacteristic
821#396C22×C10711yescharacteristic
822#396C22×C10711yescharacteristic
823#396C22×C10711yescharacteristic
824#396C22×C10711yescharacteristic
825#396C22×C10711yescharacteristic
826#396C22×C10711yescharacteristic
827#396C22×C10711yescharacteristic, complemented
828#395C22×C10711yescharacteristic, complemented
829#394C22×C10711yescharacteristic
830#394C22×C10711yescharacteristic
831#394C22×C10711yescharacteristic
832#394C22×C10711yescharacteristic
833#394C22×C10711yescharacteristic
834#394C22×C10711yescharacteristic
835#394C22×C10711yescharacteristic
836#394C22×C10711yescharacteristic
837#394C22×C10711yescharacteristic
838#394C22×C10711yescharacteristic
839#393C22×C10711yescharacteristic
840#393C22×C10711yescharacteristic
841#393C22×C10711yescharacteristic
842#393C22×C10711yescharacteristic
843#393C22×C10711yescharacteristic, complemented
844#392C22×C10711yescharacteristic
845#392C22×C10711yescharacteristic
846#391C22×C10711yescharacteristic, complemented
847#391C22×C10711yescharacteristic, complemented
848#391C22×C10711yescharacteristic, complemented
849#390C22×C10711yescharacteristic
850#390C22×C10711yescharacteristic
851#390C22×C10711yescharacteristic
852#390C22×C10711yescharacteristic
853#390C22×C10711yescharacteristic, complemented
854#389C22×C10711yescharacteristic, complemented
855#389C22×C10711yescharacteristic, complemented
856#389C22×C10711yescharacteristic, complemented
857#389C22×C10711yescharacteristic, complemented
858#388C22×C10711yescharacteristic
859#388C22×C10711yescharacteristic
860#388C22×C10711yescharacteristic
861#388C22×C10711yescharacteristic
862#388C22×C10711yescharacteristic
863#388C22×C10711yescharacteristic
864#388C22×C10711yescharacteristic
865#388C22×C10711yescharacteristic
866#388C22×C10711yescharacteristic
867#388C22×C10711yescharacteristic
868#388C22×C10711yescharacteristic
869#388C22×C10711yescharacteristic
870#388C22×C10711yescharacteristic
871#388C22×C10711yescharacteristic
872#388C22×C10711yescharacteristic
873#388C22×C10711yescharacteristic
874#388C22×C10711yescharacteristic
875#388C22×C10711yescharacteristic
876#388C22×C10711yescharacteristic
877#388C22×C10711yescharacteristic
878#388C22×C10711yescharacteristic
879#388C22×C10711yescharacteristic
880#388C22×C10711yescharacteristic
881#388C22×C10711yescharacteristic, complemented
882#388C22×C10711yescharacteristic, complemented
883#388C22×C10711yescharacteristic, complemented
884#388C22×C10711yescharacteristic, complemented
885#388C22×C10711yescharacteristic, complemented
886#388C22×C10711yescharacteristic, complemented
887#388C22×C10711yescharacteristic, complemented
888#387C22×C10711yescharacteristic, complemented
889#387C22×C10711yescharacteristic, complemented
890#387C22×C10711yescharacteristic, complemented
891#387C22×C10711yescharacteristic, complemented
892#387C22×C10711yescharacteristic, complemented
893#387C22×C10711yescharacteristic, complemented
894#387C22×C10711yescharacteristic, complemented
895#387C22×C10711yescharacteristic, complemented
896#387C22×C10711yescharacteristic, complemented
897#387C22×C10711yescharacteristic, complemented
898#387C22×C10711yescharacteristic, complemented
899#387C22×C10711yescharacteristic, complemented
900#386C22×C10711yescharacteristic
901#386C22×C10711yescharacteristic
902#386C22×C10711yescharacteristic
903#386C22×C10711yescharacteristic
904#386C22×C10711yescharacteristic
905#386C22×C10711yescharacteristic
906#386C22×C10711yescharacteristic
907#386C22×C10711yescharacteristic
908#386C22×C10711yescharacteristic
909#386C22×C10711yescharacteristic
910#386C22×C10711yescharacteristic, complemented
911#386C22×C10711yescharacteristic, complemented
912#385C22×C10711yescharacteristic
913#385C22×C10711yescharacteristic, complemented
914#385C22×C10711yescharacteristic, complemented
915#385C22×C10711yescharacteristic, complemented
916#385C22×C10711yescharacteristic, complemented
917#385C22×C10711yescharacteristic, complemented
918#383C22×C10711yescharacteristic, complemented
919#382C22×C10711yescharacteristic, complemented
920#382C22×C10711yescharacteristic, complemented
921#381C22×C10711yescharacteristic
922#381C22×C10711yescharacteristic, complemented
923#380C22×C10711yescharacteristic
924#380C22×C10711yescharacteristic
925#380C22×C10711yescharacteristic
926#380C22×C10711yescharacteristic, complemented
927#379C22×C10711yescharacteristic
928#379C22×C10711yescharacteristic
929#379C22×C10711yescharacteristic
930#379C22×C10711yescharacteristic
931C4×C4⋊C4C22×C10711yescharacteristic, complemented
932C4×C4⋊C4C22×C10711yescharacteristic, complemented
933C4×C22⋊C4C22×C10711yescharacteristic
934C4×C22⋊C4C22×C10711yescharacteristic
935C4×C22⋊C4C22×C10711yescharacteristic, complemented
936C4×C22⋊C4C22×C10711yescharacteristic, complemented
937#376C22×C10711yescharacteristic, complemented
938C25C23×C10711yescharacteristic
939C22×Q8C23×C10711yescharacteristic
940C22×Q8C23×C10711yescharacteristic
941C22×D4C23×C10711yescharacteristic
942C22×D4C23×C10711yescharacteristic
943C22×D4C23×C10711yescharacteristic
944C22×D4C23×C10711yescharacteristic
945C22×D4C23×C10711yescharacteristic
946C22×D4C23×C10711yescharacteristic
947C22×D4C23×C10711yescharacteristic
948C23×C4C23×C10711yescharacteristic
949C23×C4C23×C10711yescharacteristic
950C23×C4C23×C10711yescharacteristic
951C23×C4C23×C10711yescharacteristic
952C23×C4C23×C10711yescharacteristic
953C23×C4C23×C10711yescharacteristic
954C4⋊Q8—42no—
955#124—42no—
956#124—42no—
957#123—24no—
958#123—42no—
959#123—42no—
960#123—42no—
961C22⋊Q8—42no—
962#121—42no—
963#120—42no—
964#120—42no—
965C4×D4—24no—
966#117—42no—
967C2×C4⋊C4C23×C10711yescharacteristic
968C2×C4⋊C4C23×C10711yescharacteristic
969C2×C4⋊C4C23×C10711yescharacteristic
970C2×C4⋊C4C23×C10711yescharacteristic
971C2×C4⋊C4C23×C10711yescharacteristic
972C2×C4⋊C4C23×C10711yescharacteristic
973C2×C4⋊C4C23×C10711yescharacteristic
974C2×C4⋊C4C23×C10711yescharacteristic
975C2×C4⋊C4C23×C10711yescharacteristic
976C2×C4⋊C4C23×C10711yescharacteristic
977C2×C4⋊C4C23×C10711yescharacteristic
978C2×C4⋊C4C23×C10711yescharacteristic
979C2×C4⋊C4C23×C10711yescharacteristic
980C2×C4⋊C4C23×C10711yescharacteristic
981C2×C4⋊C4C23×C10711yescharacteristic
982C2×C4⋊C4C23×C10711yescharacteristic
983C2×C4⋊C4C23×C10711yescharacteristic
984C2×C4⋊C4C23×C10711yescharacteristic
985C2×C4⋊C4C23×C10711yescharacteristic
986C2×C4⋊C4C23×C10711yescharacteristic
987C2×C4⋊C4C23×C10711yescharacteristic
988C2×C4⋊C4C23×C10711yescharacteristic
989C2×C4⋊C4C23×C10711yescharacteristic
990C2×C4⋊C4C23×C10711yescharacteristic
991C2×C4⋊C4C23×C10711yescharacteristic
992C2×C4⋊C4C23×C10711yescharacteristic
993C2×C4⋊C4C23×C10711yescharacteristic
994C2×C4⋊C4C23×C10711yescharacteristic
995C2×C4⋊C4C23×C10711yescharacteristic
996C2×C22⋊C4—24no—
997C2×C22⋊C4C23×C10711yescharacteristic
998C2×C22⋊C4C23×C10711yescharacteristic
999C2×C22⋊C4C23×C10711yescharacteristic
1000C2×C22⋊C4C23×C10711yescharacteristic
1001C2×C22⋊C4C23×C10711yescharacteristic
1002C2×C22⋊C4C23×C10711yescharacteristic
1003C2×C22⋊C4C23×C10711yescharacteristic
1004C2×C22⋊C4C23×C10711yescharacteristic
1005C2×C22⋊C4C23×C10711yescharacteristic
1006C2×C22⋊C4C23×C10711yescharacteristic
1007C2×C22⋊C4C23×C10711yescharacteristic
1008C2×C22⋊C4C23×C10711yescharacteristic
1009C2×C22⋊C4C23×C10711yescharacteristic
1010C2×C22⋊C4C23×C10711yescharacteristic
1011C2×C22⋊C4C23×C10711yescharacteristic
1012C2×C22⋊C4C23×C10711yescharacteristic
1013C2×C22⋊C4C23×C10711yescharacteristic
1014C2×C22⋊C4C23×C10711yescharacteristic
1015C2×C22⋊C4C23×C10711yescharacteristic
1016C2×C22⋊C4C23×C10711yescharacteristic
1017C2×C22⋊C4C23×C10711yescharacteristic
1018C2×C22⋊C4C23×C10711yescharacteristic
1019C2×C22⋊C4C23×C10711yescharacteristic
1020C2×C22⋊C4C23×C10711yescharacteristic
1021C2×C22⋊C4C23×C10711yescharacteristic
1022C2×C22⋊C4C23×C10711yescharacteristic
1023C2×C22⋊C4C23×C10711yescharacteristic
1024C2×C22⋊C4C23×C10711yescharacteristic
1025C2×C22⋊C4C23×C10711yescharacteristic
1026C2×C22⋊C4C23×C10711yescharacteristic
1027C2×C22⋊C4C23×C10711yescharacteristic
1028C2×C22⋊C4C23×C10711yescharacteristic
1029C2×C22⋊C4C23×C10711yescharacteristic
1030C2×C22⋊C4C23×C10711yescharacteristic
1031C2×C22⋊C4C23×C10711yescharacteristic
1032C2×C22⋊C4C23×C10711yescharacteristic
1033C2×C22⋊C4C23×C10711yescharacteristic
1034C2×C22⋊C4C23×C10711yescharacteristic
1035C2×C22⋊C4C23×C10711yescharacteristic
1036C2×C22⋊C4C23×C10711yescharacteristic
1037C2×C22⋊C4C23×C10711yescharacteristic
1038C2×C22⋊C4C23×C10711yescharacteristic
1039C2×C22⋊C4C23×C10711yescharacteristic
1040C2×C22⋊C4C23×C10711yescharacteristic
1041C2×C22⋊C4C23×C10711yescharacteristic
1042C2×C22⋊C4C23×C10711yescharacteristic
1043C2×C22⋊C4C23×C10711yescharacteristic
1044C2×C22⋊C4C23×C10711yescharacteristic
1045C2×C22⋊C4C23×C10711yescharacteristic
1046C2×C22⋊C4C23×C10711yescharacteristic
1047C2×C22⋊C4C23×C10711yescharacteristic
1048C2×C22⋊C4C23×C10711yescharacteristic
1049C2×C42—42no—
1050C2×C42C23×C10711yescharacteristic
1051C2×C42C23×C10711yescharacteristic
1052C2×C42C23×C10711yescharacteristic
1053C2×C42C23×C10711yescharacteristic
1054C2×C42C23×C10711yescharacteristic
1055C2×C42C23×C10711yescharacteristic
1056C2×C42C23×C10711yescharacteristic
1057C2×C42C23×C10711yescharacteristic
1058C2×C42C23×C10711yescharacteristic
1059C2×C42C23×C10711yescharacteristic
1060C2×C42C23×C10711yescharacteristic
1061C2×C42C23×C10711yescharacteristic
1062#95C23×C10711yescharacteristic
1063#95C23×C10711yescharacteristic
1064#95C23×C10711yescharacteristic
1065#95C23×C10711yescharacteristic
1066#95C23×C10711yescharacteristic
1067#95C23×C10711yescharacteristic
1068#95C23×C10711yescharacteristic
1069#95C23×C10711yescharacteristic
1070#95C23×C10711yescharacteristic
1071#95C23×C10711yescharacteristic
1072#95C23×C10711yescharacteristic
1073#95C23×C10711yescharacteristic
1074#95C23×C10711yescharacteristic
1075#95C23×C10711yescharacteristic
1076#95C23×C10711yescharacteristic
1077#95C23×C10711yescharacteristic
1078#95C23×C10711yescharacteristic
1079#95C23×C10711yescharacteristic
1080#95C23×C10711yescharacteristic
1081#95C23×C10711yescharacteristic
1082#95C23×C10711yescharacteristic
1083#95C23×C10711yescharacteristic
1084#95C23×C10711yescharacteristic
1085#95C23×C10711yescharacteristic
1086#95C23×C10711yescharacteristic
1087#95C23×C10711yescharacteristic
1088#95C23×C10711yescharacteristic
1089#95C23×C10711yescharacteristic
1090#95C23×C10711yescharacteristic
1091#95C23×C10711yescharacteristic
1092#95C23×C10711yescharacteristic
1093#95C23×C10711yescharacteristic
1094#95C23×C10711yescharacteristic
1095#95C23×C10711yescharacteristic
1096#95C23×C10711yescharacteristic
1097#95C23×C10711yescharacteristic
1098#95C23×C10711yescharacteristic
1099#95C23×C10711yescharacteristic
1100#95C23×C10711yescharacteristic
1101#95C23×C10711yescharacteristic
1102#95C23×C10711yescharacteristic
1103#95C23×C10711yescharacteristic
1104#95C23×C10711yescharacteristic
1105#95C23×C10711yescharacteristic
1106#95C23×C10711yescharacteristic
1107#95C23×C10711yescharacteristic
1108C24—22no—
1109C24—41no—
1110C24—41no—
1111C24—41no—
1112C24—41no—
1113C24—41no—
1114C24—41no—
1115C24C24×C10711yescharacteristic
1116C24C24×C10711yescharacteristic
1117C24C24×C10711yescharacteristic
1118C24C24×C10711yescharacteristic
1119C24C24×C10711yescharacteristic
1120C2×Q8—22no—
1121C2×Q8—41no—
1122C2×Q8—41no—
1123C2×Q8—41no—
1124C2×Q8—41no—
1125C2×Q8—41no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4#41×C10714yes—
1165C22×C4C24×C10711yescharacteristic
1166C22×C4C24×C10711yescharacteristic
1167C22×C4C24×C10711yescharacteristic
1168C22×C4C24×C10711yescharacteristic
1169C22×C4C24×C10711yescharacteristic
1170C22×C4C24×C10711yescharacteristic
1171C22×C4C24×C10711yescharacteristic
1172C22×C4C24×C10711yescharacteristic
1173C22×C4C24×C10711yescharacteristic
1174C22×C4C24×C10711yescharacteristic
1175C22×C4C24×C10711yescharacteristic
1176C22×C4C24×C10711yescharacteristic
1177C22×C4C24×C10711yescharacteristic
1178C22×C4C24×C10711yescharacteristic
1179C22×C4C24×C10711yescharacteristic
1180C22×C4C24×C10711yescharacteristic
1181C22×C4C24×C10711yescharacteristic
1182C22×C4C24×C10711yescharacteristic
1183C22×C4C24×C10711yescharacteristic
1184C22×C4C24×C10711yescharacteristic
1185C22×C4C24×C10711yescharacteristic
1186C22×C4C24×C10711yescharacteristic
1187C22×C4C24×C10711yescharacteristic
1188C22×C4C24×C10711yescharacteristic
1189C22×C4C24×C10711yescharacteristic
1190C22×C4C24×C10711yescharacteristic
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
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—
1272C42—22no—
1273C42—22no—
1274C42—22no—
1275C42—41no—
1276C42—41no—
1277C42—41no—
1278C42—41no—
1279C42—41no—
1280C42—41no—
1281C42—41no—
1282C42—41no—
1283C42—41no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—44no—
1318C23—82no—
1319C23—82no—
1320C23—82no—
1321C23—82no—
1322C23—82no—
1323C23—82no—
1324C23C2×#41×C10712yes—
1325C23H(5,𝔽2)×C10712yes—
1326C23C25×C10711yescharacteristic
1327Q8—82no—
1328Q8—82no—
1329D4—44no—
1330D4—82no—
1331D4—82no—
1332D4—82no—
1333D4—82no—
1334D4—82no—
1335D4—82no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—82no—
1416C2×C4—82no—
1417C2×C4C2×#41×C10712yes—
1418C2×C4C2×#41×C10712yes—
1419C2×C4H(5,𝔽2)×C10712yes—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—88no—
1456C22C22×#41×C10711yescharacteristic
1457C22C2×H(5,𝔽2)×C10711yescharacteristic
1458C22C2×H(5,𝔽2)×C10711yescharacteristic
1459C22#585×C10711yescharacteristic
1460C22#585×C10711yescharacteristic
1461C22#585×C10711yescharacteristic
1462C22#585×C10711yescharacteristic
1463C4—22no—
1464C4—22no—
1465C4—22no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C2—42no—
1490C2—42no—
1491C2—81no—
1492C2—81no—
1493C2—81no—
1494C2C107×#345511yescharacteristic
1495C2C107×#349411yescharacteristic
1496C2C107×#350511yescharacteristic
1497C2C107×#353411yescharacteristic
1498C2C107×#354011yescharacteristic
1499C2C107×#354511yescharacteristic
1500C2C107×#356611yescharacteristic
subgroupG/H
center, socleC23×C107C25
commutator, Frattini, cosocleC23C25×C107
prime radicalC107×#2678C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C107×#2853C2semidirect
2. C107×#2850C2semidirect
3. C107×#2783C2semidirect
4. C107×#2779C2semidirect
5. C107×#2772C2semidirect
6. C107×#2757C2semidirect
7. C107×#2753C2semidirect
8. C107×#2744C2semidirect
9. C107×#2737C2semidirect
10. C107×#2735C2semidirect
11. C107×#2731C2semidirect
12. C107×#2701C2semidirect
13. C107×#2693C2semidirect
14. C107×#2687C2semidirect
15. C107×#2684C2semidirect
16. C107×#2684C2semidirect
18. C107×#2674C2semidirect
19. C107×#2651C2semidirect
20. C107×#2650C2semidirect
21. C107×#2602C2semidirect
22. C107×#2595C2semidirect
23. C107×#2557C2semidirect
24. C107×#2534C2semidirect
25. C107×#2532C2semidirect
26. C107×#2531C2semidirect
27. C107×#2439C2semidirect
28. C107×#2411C2semidirect
29. C107×#2335C2semidirect
30. C107×#2312C2semidirect
31. C107×#2290C2semidirect
32. C2×C4⋊Q8×C107C22semidirect
38. C2×#123×C107C22semidirect
39. C2×C22⋊Q8×C107C22semidirect
46. C22×C42×C107C22semidirect
47. #400×C107C22semidirect
48. #400×C107C22semidirect
49. #400×C107C22semidirect
50. #400×C107C22semidirect
51. #400×C107C22semidirect
53. #398×C107C22semidirect
54. #398×C107C22semidirect
55. #398×C107C22semidirect
56. #398×C107C22semidirect
65. #397×C107C22semidirect
66. #397×C107C22semidirect
67. #397×C107C22semidirect
68. #397×C107C22semidirect
76. #396×C107C22semidirect
77. #395×C107C22semidirect
92. #393×C107C22semidirect
95. #391×C107C22semidirect
96. #391×C107C22semidirect
97. #391×C107C22semidirect
102. #390×C107C22semidirect
103. #389×C107C22semidirect
104. #389×C107C22semidirect
105. #389×C107C22semidirect
106. #389×C107C22semidirect
130. #388×C107C22semidirect
131. #388×C107C22semidirect
132. #388×C107C22semidirect
133. #388×C107C22semidirect
134. #388×C107C22semidirect
135. #388×C107C22semidirect
136. #388×C107C22semidirect
137. #387×C107C22semidirect
138. #387×C107C22semidirect
139. #387×C107C22semidirect
140. #387×C107C22semidirect
141. #387×C107C22semidirect
142. #387×C107C22semidirect
143. #387×C107C22semidirect
144. #387×C107C22semidirect
145. #387×C107C22semidirect
146. #387×C107C22semidirect
147. #387×C107C22semidirect
148. #387×C107C22semidirect
159. #386×C107C22semidirect
160. #386×C107C22semidirect
162. #385×C107C22semidirect
163. #385×C107C22semidirect
164. #385×C107C22semidirect
165. #385×C107C22semidirect
166. #385×C107C22semidirect
167. #383×C107C22semidirect
168. #382×C107C22semidirect
169. #382×C107C22semidirect
171. #381×C107C22semidirect
175. #380×C107C22semidirect
180. C4×C4⋊C4×C107C22semidirect
181. C4×C4⋊C4×C107C22semidirect
184. C4×C22⋊C4×C107C22semidirect
185. C4×C22⋊C4×C107C22semidirect
186. #376×C107C22semidirect
738. #36784C107direct (N × H)
751. #2853C2×C107semidirect
752. #2850C2×C107semidirect
753. #2783C2×C107semidirect
754. #2779C2×C107semidirect
755. #2772C2×C107semidirect
756. #2757C2×C107semidirect
757. #2753C2×C107semidirect
758. #2744C2×C107semidirect
759. #2737C2×C107semidirect
760. #2735C2×C107semidirect
761. #2731C2×C107semidirect
762. #2701C2×C107semidirect
763. #2693C2×C107semidirect
764. #2687C2×C107semidirect
765. #2684C2×C107semidirect
766. #2684C2×C107semidirect
768. #2674C2×C107semidirect
769. #2651C2×C107semidirect
770. #2650C2×C107semidirect
771. #2602C2×C107semidirect
772. #2595C2×C107semidirect
773. #2557C2×C107semidirect
774. #2534C2×C107semidirect
775. #2532C2×C107semidirect
776. #2531C2×C107semidirect
777. #2439C2×C107semidirect
778. #2411C2×C107semidirect
779. #2335C2×C107semidirect
780. #2312C2×C107semidirect
781. #2290C2×C107semidirect
782. C107#36784direct (N × H)
783. C2×C4⋊Q8C22×C107semidirect
789. C2×#123C22×C107semidirect
790. C2×C22⋊Q8C22×C107semidirect
797. C22×C42C22×C107semidirect
798. #400C22×C107semidirect
799. #400C22×C107semidirect
800. #400C22×C107semidirect
801. #400C22×C107semidirect
802. #400C22×C107semidirect
804. #398C22×C107semidirect
805. #398C22×C107semidirect
806. #398C22×C107semidirect
807. #398C22×C107semidirect
816. #397C22×C107semidirect
817. #397C22×C107semidirect
818. #397C22×C107semidirect
819. #397C22×C107semidirect
827. #396C22×C107semidirect
828. #395C22×C107semidirect
843. #393C22×C107semidirect
846. #391C22×C107semidirect
847. #391C22×C107semidirect
848. #391C22×C107semidirect
853. #390C22×C107semidirect
854. #389C22×C107semidirect
855. #389C22×C107semidirect
856. #389C22×C107semidirect
857. #389C22×C107semidirect
881. #388C22×C107semidirect
882. #388C22×C107semidirect
883. #388C22×C107semidirect
884. #388C22×C107semidirect
885. #388C22×C107semidirect
886. #388C22×C107semidirect
887. #388C22×C107semidirect
888. #387C22×C107semidirect
889. #387C22×C107semidirect
890. #387C22×C107semidirect
891. #387C22×C107semidirect
892. #387C22×C107semidirect
893. #387C22×C107semidirect
894. #387C22×C107semidirect
895. #387C22×C107semidirect
896. #387C22×C107semidirect
897. #387C22×C107semidirect
898. #387C22×C107semidirect
899. #387C22×C107semidirect
910. #386C22×C107semidirect
911. #386C22×C107semidirect
913. #385C22×C107semidirect
914. #385C22×C107semidirect
915. #385C22×C107semidirect
916. #385C22×C107semidirect
917. #385C22×C107semidirect
918. #383C22×C107semidirect
919. #382C22×C107semidirect
920. #382C22×C107semidirect
922. #381C22×C107semidirect
926. #380C22×C107semidirect
931. C4×C4⋊C4C22×C107semidirect
932. C4×C4⋊C4C22×C107semidirect
935. C4×C22⋊C4C22×C107semidirect
936. C4×C22⋊C4C22×C107semidirect
937. #376C22×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#28532
C107×#28502
C107×#27832
C107×#27792
C107×#27722
C107×#27572
C107×#27532
C107×#27442
C107×#27372
C107×#27352
C107×#27312
C107×#27012
C107×#26932
C107×#26872
C107×#26842
C107×#26782
C107×#26742
C107×#26512
C107×#26502
C107×#26022
C107×#25952
C107×#25572
C107×#25342
C107×#25322
C107×#25312
C107×#24392
C107×#24112
C107×#23352
C107×#23122
C107×#22902
#36784107