Finite Group Databasebeta

← C107×#36858 #41062822

Subgroups — C107×#36858 #41062822

Order 27392.

1918 conjugacy classes of subgroups.

The subgroup lattice has 1538 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#2849C211yesmaximal, characteristic, complemented
2C107×#2848C211yesmaximal, characteristic, complemented
3C107×#2797C211yesmaximal, characteristic, complemented
4C107×#2781C211yesmaximal, characteristic, complemented
5C107×#2780C211yesmaximal, characteristic, complemented
6C107×#2763C211yesmaximal, characteristic, complemented
7C107×#2757C211yesmaximal, characteristic, complemented
8C107×#2738C211yesmaximal, characteristic, complemented
9C107×#2735C211yesmaximal, characteristic, complemented
10C107×#2729C211yesmaximal, characteristic, complemented
11C107×#2715C211yesmaximal, characteristic, complemented
12C107×#2706C211yesmaximal, characteristic, complemented
13C107×#2700C211yesmaximal, characteristic, complemented
14C107×#2696C211yesmaximal, characteristic, complemented
15C107×#2685C211yesmaximal, characteristic, complemented
16C107×#2684C211yesmaximal, characteristic, complemented
17C107×#2674C211yesmaximal, characteristic, complemented
18C107×#2670C211yesmaximal, characteristic
19C107×#2638C211yesmaximal, characteristic, complemented
20C107×#2636C211yesmaximal, characteristic, complemented
21C107×#2575C211yesmaximal, characteristic, complemented
22C107×#2574C211yesmaximal, characteristic, complemented
23C107×#2560C211yesmaximal, characteristic, complemented
24C107×#2553C211yesmaximal, characteristic, complemented
25C107×#2461C211yesmaximal, characteristic, complemented
26C107×#2457C211yesmaximal, characteristic, complemented
27C107×#2452C211yesmaximal, characteristic, complemented
28C107×#2447C211yesmaximal, characteristic, complemented
29C107×#2337C211yesmaximal, characteristic, complemented
30C107×#2334C211yesmaximal, characteristic, complemented
31C4×#120×C107C211yesmaximal, characteristic, complemented
32C24×C4×C107C2211yescharacteristic
33C2×C4⋊Q8×C107C2211yescharacteristic, complemented
34C2×#126×C107C2211yescharacteristic
35C2×#126×C107C2211yescharacteristic, complemented
36C2×#124×C107C2211yescharacteristic
37C2×#124×C107C2211yescharacteristic
38C2×#124×C107C2211yescharacteristic
39C2×#123×C107C2211yescharacteristic
40C2×#123×C107C2211yescharacteristic
41C2×#123×C107C2211yescharacteristic, complemented
42C2×C22⋊Q8×C107C2211yescharacteristic
43C2×C22⋊Q8×C107C2211yescharacteristic
44C2×C22⋊Q8×C107C2211yescharacteristic
45C2×C22⋊Q8×C107C2211yescharacteristic, complemented
46C2×#120×C107C2211yescharacteristic
47C2×#120×C107C2211yescharacteristic
48C2×C4×D4×C107C2211yescharacteristic
49C2×C4×D4×C107C2211yescharacteristic
50C2×C4×D4×C107C2211yescharacteristic
51#400×C107C2211yescharacteristic, complemented
52#400×C107C2211yescharacteristic, complemented
53#400×C107C2211yescharacteristic, complemented
54#400×C107C2211yescharacteristic, complemented
55#399×C107C2211yescharacteristic
56#399×C107C2211yescharacteristic
57#399×C107C2211yescharacteristic, complemented
58#398×C107C2211yescharacteristic, complemented
59#398×C107C2211yescharacteristic, complemented
60#398×C107C2211yescharacteristic, complemented
61#398×C107C2211yescharacteristic, complemented
62#397×C107C2211yescharacteristic
63#397×C107C2211yescharacteristic
64#397×C107C2211yescharacteristic
65#397×C107C2211yescharacteristic
66#397×C107C2211yescharacteristic
67#397×C107C2211yescharacteristic, complemented
68#397×C107C2211yescharacteristic, complemented
69#397×C107C2211yescharacteristic, complemented
70#397×C107C2211yescharacteristic, complemented
71#397×C107C2211yescharacteristic, complemented
72#396×C107C2211yescharacteristic
73#396×C107C2211yescharacteristic
74#396×C107C2211yescharacteristic
75#396×C107C2211yescharacteristic, complemented
76#396×C107C2211yescharacteristic, complemented
77#396×C107C2211yescharacteristic, complemented
78#396×C107C2211yescharacteristic, complemented
79#395×C107C2211yescharacteristic, complemented
80#395×C107C2211yescharacteristic, complemented
81#395×C107C2211yescharacteristic, complemented
82#394×C107C2211yescharacteristic
83#394×C107C2211yescharacteristic
84#394×C107C2211yescharacteristic
85#394×C107C2211yescharacteristic
86#394×C107C2211yescharacteristic
87#394×C107C2211yescharacteristic
88#394×C107C2211yescharacteristic
89#394×C107C2211yescharacteristic
90#394×C107C2211yescharacteristic, complemented
91#393×C107C2211yescharacteristic
92#393×C107C2211yescharacteristic
93#393×C107C2211yescharacteristic
94#393×C107C2211yescharacteristic, complemented
95#393×C107C2211yescharacteristic, complemented
96#392×C107C2211yescharacteristic
97#392×C107C2211yescharacteristic
98#392×C107C2211yescharacteristic
99#391×C107C2211yescharacteristic, complemented
100#391×C107C2211yescharacteristic, complemented
101#391×C107C2211yescharacteristic, complemented
102#391×C107C2211yescharacteristic, complemented
103#390×C107C2211yescharacteristic
104#390×C107C2211yescharacteristic
105#390×C107C2211yescharacteristic
106#390×C107C2211yescharacteristic
107#390×C107C2211yescharacteristic, complemented
108#389×C107C2211yescharacteristic, complemented
109#389×C107C2211yescharacteristic, complemented
110#389×C107C2211yescharacteristic, complemented
111#389×C107C2211yescharacteristic, complemented
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, complemented
126#388×C107C2211yescharacteristic, complemented
127#388×C107C2211yescharacteristic, complemented
128#388×C107C2211yescharacteristic, complemented
129#388×C107C2211yescharacteristic, complemented
130#387×C107C2211yescharacteristic, complemented
131#387×C107C2211yescharacteristic, complemented
132#387×C107C2211yescharacteristic, complemented
133#387×C107C2211yescharacteristic, complemented
134#387×C107C2211yescharacteristic, complemented
135#387×C107C2211yescharacteristic, complemented
136#387×C107C2211yescharacteristic, complemented
137#387×C107C2211yescharacteristic, complemented
138#387×C107C2211yescharacteristic, complemented
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, complemented
150#385×C107C2211yescharacteristic
151#385×C107C2211yescharacteristic
152#385×C107C2211yescharacteristic
153#385×C107C2211yescharacteristic
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, complemented
164#385×C107C2211yescharacteristic, complemented
165#383×C107C2211yescharacteristic, complemented
166#382×C107C2211yescharacteristic, complemented
167#382×C107C2211yescharacteristic, complemented
168#382×C107C2211yescharacteristic, complemented
169#381×C107C2211yescharacteristic
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×C4⋊C4×C107C2211yescharacteristic, complemented
183C4×C22⋊C4×C107C2211yescharacteristic
184C4×C22⋊C4×C107C2211yescharacteristic
185C4×C22⋊C4×C107C2211yescharacteristic
186C4×C22⋊C4×C107C2211yescharacteristic, complemented
187C25×C107C2311yescharacteristic
188C22×Q8×C107C2311yescharacteristic
189C22×Q8×C107C2311yescharacteristic
190C22×Q8×C107C2311yescharacteristic
191C22×D4×C107C2311yescharacteristic
192C22×D4×C107C2311yescharacteristic
193C22×D4×C107C2311yescharacteristic
194C22×D4×C107C2311yescharacteristic
195C22×D4×C107C2311yescharacteristic
196C22×D4×C107C2311yescharacteristic
197C22×D4×C107C2311yescharacteristic
198C23×C4×C107—42no—
199C23×C4×C107—42no—
200C23×C4×C107—42no—
201C23×C4×C107C2311yescharacteristic
202C23×C4×C107C2311yescharacteristic
203C23×C4×C107C2311yescharacteristic
204C23×C4×C107C2311yescharacteristic
205C23×C4×C107C2311yescharacteristic
206C23×C4×C107C2311yescharacteristic
207C23×C4×C107C2311yescharacteristic
208C23×C4×C107C2311yescharacteristic
209C4⋊Q8×C107—42no—
210#126×C107—24no—
211#126×C107—42no—
212#124×C107—24no—
213#124×C107—42no—
214#124×C107—42no—
215#123×C107—42no—
216#123×C107—42no—
217#123×C107—42no—
218C22⋊Q8×C107—42no—
219C22⋊Q8×C107—42no—
220C22⋊Q8×C107—42no—
221C22⋊Q8×C107—42no—
222#120×C107—24no—
223#120×C107—42no—
224C4×D4×C107—42no—
225C4×D4×C107—42no—
226C4×D4×C107—42no—
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×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×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×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×C42×C107C2311yescharacteristic
310C2×C42×C107C2311yescharacteristic
311C2×C42×C107C2311yescharacteristic
312C2×C42×C107C2311yescharacteristic
313C2×C42×C107C2311yescharacteristic
314C2×C42×C107C2311yescharacteristic
315C2×C42×C107C2311yescharacteristic
316C2×C42×C107C2311yescharacteristic
317C2×C42×C107C2311yescharacteristic
318C2×C42×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
357#95×C107C2311yescharacteristic
358#95×C107C2311yescharacteristic
359#95×C107C2311yescharacteristic
360#95×C107C2311yescharacteristic
361#95×C107C2311yescharacteristic
362#95×C107C2311yescharacteristic
363C24×C107—22no—
364C24×C107—22no—
365C24×C107—22no—
366C24×C107—41no—
367C24×C107—41no—
368C24×C107—41no—
369C24×C107—41no—
370C24×C107C2411yescharacteristic
371C24×C107C2411yescharacteristic
372C24×C107C2411yescharacteristic
373C24×C107C2411yescharacteristic
374C24×C107C2411yescharacteristic
375C2×Q8×C107—22no—
376C2×Q8×C107—22no—
377C2×Q8×C107—41no—
378C2×Q8×C107—41no—
379C2×Q8×C107—41no—
380C2×Q8×C107—41no—
381C2×Q8×C107—41no—
382C2×Q8×C107—41no—
383C2×Q8×C107—41no—
384C2×D4×C107—22no—
385C2×D4×C107—22no—
386C2×D4×C107—22no—
387C2×D4×C107—22no—
388C2×D4×C107—22no—
389C2×D4×C107—22no—
390C2×D4×C107—22no—
391C2×D4×C107—22no—
392C2×D4×C107—41no—
393C2×D4×C107—41no—
394C2×D4×C107—41no—
395C2×D4×C107—41no—
396C2×D4×C107—41no—
397C2×D4×C107—41no—
398C2×D4×C107—41no—
399C2×D4×C107—41no—
400C2×D4×C107—41no—
401C2×D4×C107—41no—
402C2×D4×C107—41no—
403C2×D4×C107—41no—
404C2×D4×C107—41no—
405C22×C4×C107—22no—
406C22×C4×C107—22no—
407C22×C4×C107—22no—
408C22×C4×C107—22no—
409C22×C4×C107—22no—
410C22×C4×C107—22no—
411C22×C4×C107—22no—
412C22×C4×C107—22no—
413C22×C4×C107—22no—
414C22×C4×C107—41no—
415C22×C4×C107—41no—
416C22×C4×C107—41no—
417C22×C4×C107—41no—
418C22×C4×C107—41no—
419C22×C4×C107—41no—
420C22×C4×C107—41no—
421C22×C4×C107—41no—
422C22×C4×C107—41no—
423C22×C4×C107—41no—
424C22×C4×C107—41no—
425C22×C4×C107—41no—
426C22×C4×C107—41no—
427C22×C4×C107—41no—
428C22×C4×C107—41no—
429C22×C4×C107—416no—
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
440C22×C4×C107C2411yescharacteristic
441C22×C4×C107C2411yescharacteristic
442C22×C4×C107C2411yescharacteristic
443C22×C4×C107C2411yescharacteristic
444C22×C4×C107C2411yescharacteristic
445C22×C4×C107C2411yescharacteristic
446C22×C4×C107C2411yescharacteristic
447C22×C4×C107C2411yescharacteristic
448C22×C4×C107C2411yescharacteristic
449C22×C4×C107C2411yescharacteristic
450C22×C4×C107C2411yescharacteristic
451C22×C4×C107C2411yescharacteristic
452C22×C4×C107C2411yescharacteristic
453C22×C4×C107C2411yescharacteristic
454C22×C4×C107C2411yescharacteristic
455C22×C4×C107C2411yescharacteristic
456C4⋊C4×C107—22no—
457C4⋊C4×C107—22no—
458C4⋊C4×C107—22no—
459C4⋊C4×C107—22no—
460C4⋊C4×C107—22no—
461C4⋊C4×C107—22no—
462C4⋊C4×C107—22no—
463C4⋊C4×C107—22no—
464C4⋊C4×C107—22no—
465C4⋊C4×C107—41no—
466C4⋊C4×C107—41no—
467C4⋊C4×C107—41no—
468C4⋊C4×C107—41no—
469C4⋊C4×C107—41no—
470C4⋊C4×C107—41no—
471C4⋊C4×C107—41no—
472C4⋊C4×C107—41no—
473C4⋊C4×C107—41no—
474C4⋊C4×C107—41no—
475C4⋊C4×C107—41no—
476C4⋊C4×C107—41no—
477C4⋊C4×C107—41no—
478C4⋊C4×C107—41no—
479C4⋊C4×C107—41no—
480C4⋊C4×C107—41no—
481C4⋊C4×C107—41no—
482C4⋊C4×C107—41no—
483C4⋊C4×C107—41no—
484C4⋊C4×C107—41no—
485C4⋊C4×C107—41no—
486C4⋊C4×C107—41no—
487C4⋊C4×C107—41no—
488C22⋊C4×C107—22no—
489C22⋊C4×C107—22no—
490C22⋊C4×C107—22no—
491C22⋊C4×C107—22no—
492C22⋊C4×C107—22no—
493C22⋊C4×C107—22no—
494C22⋊C4×C107—22no—
495C22⋊C4×C107—22no—
496C22⋊C4×C107—22no—
497C22⋊C4×C107—22no—
498C22⋊C4×C107—22no—
499C22⋊C4×C107—22no—
500C22⋊C4×C107—22no—
501C22⋊C4×C107—22no—
502C22⋊C4×C107—22no—
503C22⋊C4×C107—22no—
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—
521C22⋊C4×C107—41no—
522C22⋊C4×C107—41no—
523C22⋊C4×C107—41no—
524C22⋊C4×C107—41no—
525C22⋊C4×C107—41no—
526C22⋊C4×C107—41no—
527C22⋊C4×C107—41no—
528C22⋊C4×C107—41no—
529C22⋊C4×C107—41no—
530C22⋊C4×C107—41no—
531C22⋊C4×C107—41no—
532C22⋊C4×C107—41no—
533C22⋊C4×C107—41no—
534C22⋊C4×C107—41no—
535C22⋊C4×C107—41no—
536C22⋊C4×C107—41no—
537C22⋊C4×C107#4114yes—
538C42×C107—22no—
539C42×C107—22no—
540C42×C107—22no—
541C42×C107—41no—
542C42×C107—41no—
543C42×C107—41no—
544C42×C107—41no—
545C42×C107—41no—
546C42×C107—41no—
547C42×C107—41no—
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—21no—
567C23×C107—21no—
568C23×C107—21no—
569C23×C107—21no—
570C23×C107—21no—
571C23×C107—21no—
572C23×C107—21no—
573C23×C107—21no—
574C23×C107—21no—
575C23×C107—21no—
576C23×C107—21no—
577C23×C107—21no—
578C23×C107—21no—
579C23×C107—21no—
580C23×C107—44no—
581C23×C107—44no—
582C23×C107—44no—
583C23×C107—44no—
584C23×C107—44no—
585C23×C107—44no—
586C23×C107—44no—
587C23×C107C2×#4112yes—
588C23×C107H(5,𝔽2)12yes—
589C23×C1072−1+412yes—
590C23×C107C2511yescharacteristic
591Q8×C107—82no—
592Q8×C107—82no—
593Q8×C107—82no—
594D4×C107—44no—
595D4×C107—44no—
596D4×C107—44no—
597D4×C107—82no—
598D4×C107—82no—
599D4×C107—82no—
600D4×C107—82no—
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—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—44no—
676C2×C4×C107—44no—
677C2×C4×C107—44no—
678C2×C4×C107—44no—
679C2×C4×C107—44no—
680C2×C4×C107—44no—
681C2×C4×C107—82no—
682C2×C4×C107—82no—
683C2×C4×C107C2×#4112yes—
684C2×C4×C107C2×#4112yes—
685C2×C4×C107H(5,𝔽2)12yes—
686C2×C4×C107H(5,𝔽2)12yes—
687C22×C107—22no—
688C22×C107—22no—
689C22×C107—22no—
690C22×C107—22no—
691C22×C107—22no—
692C22×C107—22no—
693C22×C107—22no—
694C22×C107—22no—
695C22×C107—22no—
696C22×C107—416no—
697C22×C107—41no—
698C22×C107—41no—
699C22×C107—41no—
700C22×C107—41no—
701C22×C107—41no—
702C22×C107—41no—
703C22×C107—41no—
704C22×C107—41no—
705C22×C107—41no—
706C22×C107—41no—
707C22×C107—41no—
708C22×C107—41no—
709C22×C107—41no—
710C22×C107—41no—
711C22×C107—41no—
712C22×C107—41no—
713C22×C107—41no—
714C22×C107—41no—
715C22×C107—41no—
716C22×C107—41no—
717C22×C107—41no—
718C22×C107—41no—
719C22×C107—41no—
720C22×C107—41no—
721C22×C107—41no—
722C22×C107—41no—
723C22×C107C22×#4111yescharacteristic
724C22×C107C2×H(5,𝔽2)11yescharacteristic
725C22×C107C2×H(5,𝔽2)11yescharacteristic
726C22×C107C2×H(5,𝔽2)11yescharacteristic
727C22×C107C2×2−1+411yescharacteristic
728C22×C107#58511yescharacteristic
729C22×C107#58511yescharacteristic
730C4×C107—22no—
731C4×C107—22no—
732C4×C107—22no—
733C4×C107—22no—
734C4×C107—41no—
735C4×C107—41no—
736C4×C107—41no—
737C4×C107—41no—
738C4×C107—41no—
739C4×C107—41no—
740C4×C107—41no—
741C4×C107—41no—
742C4×C107—41no—
743C4×C107—41no—
744C4×C107—41no—
745C4×C107—41no—
746C4×C107—41no—
747C4×C107—41no—
748C4×C107—41no—
749C4×C107—41no—
750C4×C107—41no—
751C4×C107—41no—
752C4×C107—41no—
753C4×C107—41no—
754C4×C107—41no—
755C4×C107—41no—
756#36858C10711yesmaximal, characteristic, direct product factor, Sylow
757C2×C107—42no—
758C2×C107—42no—
759C2×C107—42no—
760C2×C107—81no—
761C2×C107—81no—
762C2×C107#346011yescharacteristic
763C2×C107#351311yescharacteristic
764C2×C107#352011yescharacteristic
765C2×C107#353211yescharacteristic
766C2×C107#353511yescharacteristic
767C2×C107#354011yescharacteristic
768C2×C107#354111yescharacteristic
769#2849C2×C10711yescharacteristic, complemented
770#2848C2×C10711yescharacteristic, complemented
771#2797C2×C10711yescharacteristic, complemented
772#2781C2×C10711yescharacteristic, complemented
773#2780C2×C10711yescharacteristic, complemented
774#2763C2×C10711yescharacteristic, complemented
775#2757C2×C10711yescharacteristic, complemented
776#2738C2×C10711yescharacteristic, complemented
777#2735C2×C10711yescharacteristic, complemented
778#2729C2×C10711yescharacteristic, complemented
779#2715C2×C10711yescharacteristic, complemented
780#2706C2×C10711yescharacteristic, complemented
781#2700C2×C10711yescharacteristic, complemented
782#2696C2×C10711yescharacteristic, complemented
783#2685C2×C10711yescharacteristic, complemented
784#2684C2×C10711yescharacteristic, complemented
785#2674C2×C10711yescharacteristic, complemented
786#2670C2×C10711yescharacteristic
787#2638C2×C10711yescharacteristic, complemented
788#2636C2×C10711yescharacteristic, complemented
789#2575C2×C10711yescharacteristic, complemented
790#2574C2×C10711yescharacteristic, complemented
791#2560C2×C10711yescharacteristic, complemented
792#2553C2×C10711yescharacteristic, complemented
793#2461C2×C10711yescharacteristic, complemented
794#2457C2×C10711yescharacteristic, complemented
795#2452C2×C10711yescharacteristic, complemented
796#2447C2×C10711yescharacteristic, complemented
797#2337C2×C10711yescharacteristic, complemented
798#2334C2×C10711yescharacteristic, complemented
799C4×#120C2×C10711yescharacteristic, complemented
800C107#3685811yescharacteristic, direct product factor, Sylow
801C24×C4C22×C10711yescharacteristic
802C2×C4⋊Q8C22×C10711yescharacteristic, complemented
803C2×#126C22×C10711yescharacteristic
804C2×#126C22×C10711yescharacteristic, complemented
805C2×#124C22×C10711yescharacteristic
806C2×#124C22×C10711yescharacteristic
807C2×#124C22×C10711yescharacteristic
808C2×#123C22×C10711yescharacteristic
809C2×#123C22×C10711yescharacteristic
810C2×#123C22×C10711yescharacteristic, complemented
811C2×C22⋊Q8C22×C10711yescharacteristic
812C2×C22⋊Q8C22×C10711yescharacteristic
813C2×C22⋊Q8C22×C10711yescharacteristic
814C2×C22⋊Q8C22×C10711yescharacteristic, complemented
815C2×#120C22×C10711yescharacteristic
816C2×#120C22×C10711yescharacteristic
817C2×C4×D4C22×C10711yescharacteristic
818C2×C4×D4C22×C10711yescharacteristic
819C2×C4×D4C22×C10711yescharacteristic
820#400C22×C10711yescharacteristic, complemented
821#400C22×C10711yescharacteristic, complemented
822#400C22×C10711yescharacteristic, complemented
823#400C22×C10711yescharacteristic, complemented
824#399C22×C10711yescharacteristic
825#399C22×C10711yescharacteristic
826#399C22×C10711yescharacteristic, complemented
827#398C22×C10711yescharacteristic, complemented
828#398C22×C10711yescharacteristic, complemented
829#398C22×C10711yescharacteristic, complemented
830#398C22×C10711yescharacteristic, complemented
831#397C22×C10711yescharacteristic
832#397C22×C10711yescharacteristic
833#397C22×C10711yescharacteristic
834#397C22×C10711yescharacteristic
835#397C22×C10711yescharacteristic
836#397C22×C10711yescharacteristic, complemented
837#397C22×C10711yescharacteristic, complemented
838#397C22×C10711yescharacteristic, complemented
839#397C22×C10711yescharacteristic, complemented
840#397C22×C10711yescharacteristic, complemented
841#396C22×C10711yescharacteristic
842#396C22×C10711yescharacteristic
843#396C22×C10711yescharacteristic
844#396C22×C10711yescharacteristic, complemented
845#396C22×C10711yescharacteristic, complemented
846#396C22×C10711yescharacteristic, complemented
847#396C22×C10711yescharacteristic, complemented
848#395C22×C10711yescharacteristic, complemented
849#395C22×C10711yescharacteristic, complemented
850#395C22×C10711yescharacteristic, complemented
851#394C22×C10711yescharacteristic
852#394C22×C10711yescharacteristic
853#394C22×C10711yescharacteristic
854#394C22×C10711yescharacteristic
855#394C22×C10711yescharacteristic
856#394C22×C10711yescharacteristic
857#394C22×C10711yescharacteristic
858#394C22×C10711yescharacteristic
859#394C22×C10711yescharacteristic, complemented
860#393C22×C10711yescharacteristic
861#393C22×C10711yescharacteristic
862#393C22×C10711yescharacteristic
863#393C22×C10711yescharacteristic, complemented
864#393C22×C10711yescharacteristic, complemented
865#392C22×C10711yescharacteristic
866#392C22×C10711yescharacteristic
867#392C22×C10711yescharacteristic
868#391C22×C10711yescharacteristic, complemented
869#391C22×C10711yescharacteristic, complemented
870#391C22×C10711yescharacteristic, complemented
871#391C22×C10711yescharacteristic, complemented
872#390C22×C10711yescharacteristic
873#390C22×C10711yescharacteristic
874#390C22×C10711yescharacteristic
875#390C22×C10711yescharacteristic
876#390C22×C10711yescharacteristic, complemented
877#389C22×C10711yescharacteristic, complemented
878#389C22×C10711yescharacteristic, complemented
879#389C22×C10711yescharacteristic, complemented
880#389C22×C10711yescharacteristic, complemented
881#388C22×C10711yescharacteristic
882#388C22×C10711yescharacteristic
883#388C22×C10711yescharacteristic
884#388C22×C10711yescharacteristic
885#388C22×C10711yescharacteristic
886#388C22×C10711yescharacteristic
887#388C22×C10711yescharacteristic
888#388C22×C10711yescharacteristic
889#388C22×C10711yescharacteristic
890#388C22×C10711yescharacteristic
891#388C22×C10711yescharacteristic
892#388C22×C10711yescharacteristic
893#388C22×C10711yescharacteristic
894#388C22×C10711yescharacteristic, complemented
895#388C22×C10711yescharacteristic, complemented
896#388C22×C10711yescharacteristic, complemented
897#388C22×C10711yescharacteristic, complemented
898#388C22×C10711yescharacteristic, complemented
899#387C22×C10711yescharacteristic, complemented
900#387C22×C10711yescharacteristic, complemented
901#387C22×C10711yescharacteristic, complemented
902#387C22×C10711yescharacteristic, complemented
903#387C22×C10711yescharacteristic, complemented
904#387C22×C10711yescharacteristic, complemented
905#387C22×C10711yescharacteristic, complemented
906#387C22×C10711yescharacteristic, complemented
907#387C22×C10711yescharacteristic, complemented
908#386C22×C10711yescharacteristic
909#386C22×C10711yescharacteristic
910#386C22×C10711yescharacteristic
911#386C22×C10711yescharacteristic
912#386C22×C10711yescharacteristic
913#386C22×C10711yescharacteristic
914#386C22×C10711yescharacteristic
915#386C22×C10711yescharacteristic
916#386C22×C10711yescharacteristic
917#386C22×C10711yescharacteristic
918#386C22×C10711yescharacteristic, complemented
919#385C22×C10711yescharacteristic
920#385C22×C10711yescharacteristic
921#385C22×C10711yescharacteristic
922#385C22×C10711yescharacteristic
923#385C22×C10711yescharacteristic
924#385C22×C10711yescharacteristic
925#385C22×C10711yescharacteristic
926#385C22×C10711yescharacteristic
927#385C22×C10711yescharacteristic
928#385C22×C10711yescharacteristic
929#385C22×C10711yescharacteristic
930#385C22×C10711yescharacteristic
931#385C22×C10711yescharacteristic
932#385C22×C10711yescharacteristic, complemented
933#385C22×C10711yescharacteristic, complemented
934#383C22×C10711yescharacteristic, complemented
935#382C22×C10711yescharacteristic, complemented
936#382C22×C10711yescharacteristic, complemented
937#382C22×C10711yescharacteristic, complemented
938#381C22×C10711yescharacteristic
939#381C22×C10711yescharacteristic
940#381C22×C10711yescharacteristic, complemented
941#380C22×C10711yescharacteristic
942#380C22×C10711yescharacteristic
943#380C22×C10711yescharacteristic
944#380C22×C10711yescharacteristic, complemented
945#379C22×C10711yescharacteristic
946#379C22×C10711yescharacteristic
947#379C22×C10711yescharacteristic
948#379C22×C10711yescharacteristic
949C4×C4⋊C4C22×C10711yescharacteristic, complemented
950C4×C4⋊C4C22×C10711yescharacteristic, complemented
951C4×C4⋊C4C22×C10711yescharacteristic, complemented
952C4×C22⋊C4C22×C10711yescharacteristic
953C4×C22⋊C4C22×C10711yescharacteristic
954C4×C22⋊C4C22×C10711yescharacteristic
955C4×C22⋊C4C22×C10711yescharacteristic, complemented
956C25C23×C10711yescharacteristic
957C22×Q8C23×C10711yescharacteristic
958C22×Q8C23×C10711yescharacteristic
959C22×Q8C23×C10711yescharacteristic
960C22×D4C23×C10711yescharacteristic
961C22×D4C23×C10711yescharacteristic
962C22×D4C23×C10711yescharacteristic
963C22×D4C23×C10711yescharacteristic
964C22×D4C23×C10711yescharacteristic
965C22×D4C23×C10711yescharacteristic
966C22×D4C23×C10711yescharacteristic
967C23×C4—42no—
968C23×C4—42no—
969C23×C4—42no—
970C23×C4C23×C10711yescharacteristic
971C23×C4C23×C10711yescharacteristic
972C23×C4C23×C10711yescharacteristic
973C23×C4C23×C10711yescharacteristic
974C23×C4C23×C10711yescharacteristic
975C23×C4C23×C10711yescharacteristic
976C23×C4C23×C10711yescharacteristic
977C23×C4C23×C10711yescharacteristic
978C4⋊Q8—42no—
979#126—24no—
980#126—42no—
981#124—24no—
982#124—42no—
983#124—42no—
984#123—42no—
985#123—42no—
986#123—42no—
987C22⋊Q8—42no—
988C22⋊Q8—42no—
989C22⋊Q8—42no—
990C22⋊Q8—42no—
991#120—24no—
992#120—42no—
993C4×D4—42no—
994C4×D4—42no—
995C4×D4—42no—
996C2×C4⋊C4C23×C10711yescharacteristic
997C2×C4⋊C4C23×C10711yescharacteristic
998C2×C4⋊C4C23×C10711yescharacteristic
999C2×C4⋊C4C23×C10711yescharacteristic
1000C2×C4⋊C4C23×C10711yescharacteristic
1001C2×C4⋊C4C23×C10711yescharacteristic
1002C2×C4⋊C4C23×C10711yescharacteristic
1003C2×C4⋊C4C23×C10711yescharacteristic
1004C2×C4⋊C4C23×C10711yescharacteristic
1005C2×C4⋊C4C23×C10711yescharacteristic
1006C2×C4⋊C4C23×C10711yescharacteristic
1007C2×C4⋊C4C23×C10711yescharacteristic
1008C2×C4⋊C4C23×C10711yescharacteristic
1009C2×C4⋊C4C23×C10711yescharacteristic
1010C2×C4⋊C4C23×C10711yescharacteristic
1011C2×C4⋊C4C23×C10711yescharacteristic
1012C2×C4⋊C4C23×C10711yescharacteristic
1013C2×C4⋊C4C23×C10711yescharacteristic
1014C2×C4⋊C4C23×C10711yescharacteristic
1015C2×C4⋊C4C23×C10711yescharacteristic
1016C2×C4⋊C4C23×C10711yescharacteristic
1017C2×C4⋊C4C23×C10711yescharacteristic
1018C2×C4⋊C4C23×C10711yescharacteristic
1019C2×C4⋊C4C23×C10711yescharacteristic
1020C2×C4⋊C4C23×C10711yescharacteristic
1021C2×C4⋊C4C23×C10711yescharacteristic
1022C2×C4⋊C4C23×C10711yescharacteristic
1023C2×C4⋊C4C23×C10711yescharacteristic
1024C2×C4⋊C4C23×C10711yescharacteristic
1025C2×C4⋊C4C23×C10711yescharacteristic
1026C2×C4⋊C4C23×C10711yescharacteristic
1027C2×C4⋊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×C22⋊C4C23×C10711yescharacteristic
1050C2×C22⋊C4C23×C10711yescharacteristic
1051C2×C22⋊C4C23×C10711yescharacteristic
1052C2×C22⋊C4C23×C10711yescharacteristic
1053C2×C22⋊C4C23×C10711yescharacteristic
1054C2×C22⋊C4C23×C10711yescharacteristic
1055C2×C22⋊C4C23×C10711yescharacteristic
1056C2×C22⋊C4C23×C10711yescharacteristic
1057C2×C22⋊C4C23×C10711yescharacteristic
1058C2×C22⋊C4C23×C10711yescharacteristic
1059C2×C22⋊C4C23×C10711yescharacteristic
1060C2×C22⋊C4C23×C10711yescharacteristic
1061C2×C22⋊C4C23×C10711yescharacteristic
1062C2×C22⋊C4C23×C10711yescharacteristic
1063C2×C22⋊C4C23×C10711yescharacteristic
1064C2×C22⋊C4C23×C10711yescharacteristic
1065C2×C22⋊C4C23×C10711yescharacteristic
1066C2×C22⋊C4C23×C10711yescharacteristic
1067C2×C22⋊C4C23×C10711yescharacteristic
1068C2×C22⋊C4C23×C10711yescharacteristic
1069C2×C22⋊C4C23×C10711yescharacteristic
1070C2×C22⋊C4C23×C10711yescharacteristic
1071C2×C22⋊C4C23×C10711yescharacteristic
1072C2×C22⋊C4C23×C10711yescharacteristic
1073C2×C22⋊C4C23×C10711yescharacteristic
1074C2×C22⋊C4C23×C10711yescharacteristic
1075C2×C22⋊C4C23×C10711yescharacteristic
1076C2×C22⋊C4C23×C10711yescharacteristic
1077C2×C22⋊C4C23×C10711yescharacteristic
1078C2×C42C23×C10711yescharacteristic
1079C2×C42C23×C10711yescharacteristic
1080C2×C42C23×C10711yescharacteristic
1081C2×C42C23×C10711yescharacteristic
1082C2×C42C23×C10711yescharacteristic
1083C2×C42C23×C10711yescharacteristic
1084C2×C42C23×C10711yescharacteristic
1085C2×C42C23×C10711yescharacteristic
1086C2×C42C23×C10711yescharacteristic
1087C2×C42C23×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
1108#95C23×C10711yescharacteristic
1109#95C23×C10711yescharacteristic
1110#95C23×C10711yescharacteristic
1111#95C23×C10711yescharacteristic
1112#95C23×C10711yescharacteristic
1113#95C23×C10711yescharacteristic
1114#95C23×C10711yescharacteristic
1115#95C23×C10711yescharacteristic
1116#95C23×C10711yescharacteristic
1117#95C23×C10711yescharacteristic
1118#95C23×C10711yescharacteristic
1119#95C23×C10711yescharacteristic
1120#95C23×C10711yescharacteristic
1121#95C23×C10711yescharacteristic
1122#95C23×C10711yescharacteristic
1123#95C23×C10711yescharacteristic
1124#95C23×C10711yescharacteristic
1125#95C23×C10711yescharacteristic
1126#95C23×C10711yescharacteristic
1127#95C23×C10711yescharacteristic
1128#95C23×C10711yescharacteristic
1129#95C23×C10711yescharacteristic
1130#95C23×C10711yescharacteristic
1131#95C23×C10711yescharacteristic
1132C24—22no—
1133C24—22no—
1134C24—22no—
1135C24—41no—
1136C24—41no—
1137C24—41no—
1138C24—41no—
1139C24C24×C10711yescharacteristic
1140C24C24×C10711yescharacteristic
1141C24C24×C10711yescharacteristic
1142C24C24×C10711yescharacteristic
1143C24C24×C10711yescharacteristic
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—41no—
1147C2×Q8—41no—
1148C2×Q8—41no—
1149C2×Q8—41no—
1150C2×Q8—41no—
1151C2×Q8—41no—
1152C2×Q8—41no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—416no—
1199C22×C4C24×C10711yescharacteristic
1200C22×C4C24×C10711yescharacteristic
1201C22×C4C24×C10711yescharacteristic
1202C22×C4C24×C10711yescharacteristic
1203C22×C4C24×C10711yescharacteristic
1204C22×C4C24×C10711yescharacteristic
1205C22×C4C24×C10711yescharacteristic
1206C22×C4C24×C10711yescharacteristic
1207C22×C4C24×C10711yescharacteristic
1208C22×C4C24×C10711yescharacteristic
1209C22×C4C24×C10711yescharacteristic
1210C22×C4C24×C10711yescharacteristic
1211C22×C4C24×C10711yescharacteristic
1212C22×C4C24×C10711yescharacteristic
1213C22×C4C24×C10711yescharacteristic
1214C22×C4C24×C10711yescharacteristic
1215C22×C4C24×C10711yescharacteristic
1216C22×C4C24×C10711yescharacteristic
1217C22×C4C24×C10711yescharacteristic
1218C22×C4C24×C10711yescharacteristic
1219C22×C4C24×C10711yescharacteristic
1220C22×C4C24×C10711yescharacteristic
1221C22×C4C24×C10711yescharacteristic
1222C22×C4C24×C10711yescharacteristic
1223C22×C4C24×C10711yescharacteristic
1224C22×C4C24×C10711yescharacteristic
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4#41×C10714yes—
1307C42—22no—
1308C42—22no—
1309C42—22no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C42—41no—
1316C42—41no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—44no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—44no—
1356C23C2×#41×C10712yes—
1357C23H(5,𝔽2)×C10712yes—
1358C232−1+4×C10712yes—
1359C23C25×C10711yescharacteristic
1360Q8—82no—
1361Q8—82no—
1362Q8—82no—
1363D4—44no—
1364D4—44no—
1365D4—44no—
1366D4—82no—
1367D4—82no—
1368D4—82no—
1369D4—82no—
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—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—82no—
1451C2×C4—82no—
1452C2×C4C2×#41×C10712yes—
1453C2×C4C2×#41×C10712yes—
1454C2×C4H(5,𝔽2)×C10712yes—
1455C2×C4H(5,𝔽2)×C10712yes—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—416no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22C22×#41×C10711yescharacteristic
1493C22C2×H(5,𝔽2)×C10711yescharacteristic
1494C22C2×H(5,𝔽2)×C10711yescharacteristic
1495C22C2×H(5,𝔽2)×C10711yescharacteristic
1496C22C2×2−1+4×C10711yescharacteristic
1497C22#585×C10711yescharacteristic
1498C22#585×C10711yescharacteristic
1499C4—22no—
1500C4—22no—
1501C4—22no—
1502C4—22no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C2—42no—
1526C2—42no—
1527C2—42no—
1528C2—81no—
1529C2—81no—
1530C2C107×#346011yescharacteristic
1531C2C107×#351311yescharacteristic
1532C2C107×#352011yescharacteristic
1533C2C107×#353211yescharacteristic
1534C2C107×#353511yescharacteristic
1535C2C107×#354011yescharacteristic
1536C2C107×#354111yescharacteristic
subgroupG/H
center, socleC23×C107C25
commutator, Frattini, cosocleC23C25×C107
prime radicalC107×#2670C2
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×#2848C2semidirect
3. C107×#2797C2semidirect
4. C107×#2781C2semidirect
5. C107×#2780C2semidirect
6. C107×#2763C2semidirect
7. C107×#2757C2semidirect
8. C107×#2738C2semidirect
9. C107×#2735C2semidirect
10. C107×#2729C2semidirect
11. C107×#2715C2semidirect
12. C107×#2706C2semidirect
13. C107×#2700C2semidirect
14. C107×#2696C2semidirect
15. C107×#2685C2semidirect
16. C107×#2684C2semidirect
17. C107×#2674C2semidirect
19. C107×#2638C2semidirect
20. C107×#2636C2semidirect
21. C107×#2575C2semidirect
22. C107×#2574C2semidirect
23. C107×#2560C2semidirect
24. C107×#2553C2semidirect
25. C107×#2461C2semidirect
26. C107×#2457C2semidirect
27. C107×#2452C2semidirect
28. C107×#2447C2semidirect
29. C107×#2337C2semidirect
30. C107×#2334C2semidirect
31. C4×#120×C107C2semidirect
33. C2×C4⋊Q8×C107C22semidirect
35. C2×#126×C107C22semidirect
41. C2×#123×C107C22semidirect
45. C2×C22⋊Q8×C107C22semidirect
51. #400×C107C22semidirect
52. #400×C107C22semidirect
53. #400×C107C22semidirect
54. #400×C107C22semidirect
57. #399×C107C22semidirect
58. #398×C107C22semidirect
59. #398×C107C22semidirect
60. #398×C107C22semidirect
61. #398×C107C22semidirect
67. #397×C107C22semidirect
68. #397×C107C22semidirect
69. #397×C107C22semidirect
70. #397×C107C22semidirect
71. #397×C107C22semidirect
75. #396×C107C22semidirect
76. #396×C107C22semidirect
77. #396×C107C22semidirect
78. #396×C107C22semidirect
79. #395×C107C22semidirect
80. #395×C107C22semidirect
81. #395×C107C22semidirect
90. #394×C107C22semidirect
94. #393×C107C22semidirect
95. #393×C107C22semidirect
99. #391×C107C22semidirect
100. #391×C107C22semidirect
101. #391×C107C22semidirect
102. #391×C107C22semidirect
107. #390×C107C22semidirect
108. #389×C107C22semidirect
109. #389×C107C22semidirect
110. #389×C107C22semidirect
111. #389×C107C22semidirect
125. #388×C107C22semidirect
126. #388×C107C22semidirect
127. #388×C107C22semidirect
128. #388×C107C22semidirect
129. #388×C107C22semidirect
130. #387×C107C22semidirect
131. #387×C107C22semidirect
132. #387×C107C22semidirect
133. #387×C107C22semidirect
134. #387×C107C22semidirect
135. #387×C107C22semidirect
136. #387×C107C22semidirect
137. #387×C107C22semidirect
138. #387×C107C22semidirect
149. #386×C107C22semidirect
163. #385×C107C22semidirect
164. #385×C107C22semidirect
165. #383×C107C22semidirect
166. #382×C107C22semidirect
167. #382×C107C22semidirect
168. #382×C107C22semidirect
171. #381×C107C22semidirect
175. #380×C107C22semidirect
180. C4×C4⋊C4×C107C22semidirect
181. C4×C4⋊C4×C107C22semidirect
182. C4×C4⋊C4×C107C22semidirect
186. C4×C22⋊C4×C107C22semidirect
756. #36858C107direct (N × H)
769. #2849C2×C107semidirect
770. #2848C2×C107semidirect
771. #2797C2×C107semidirect
772. #2781C2×C107semidirect
773. #2780C2×C107semidirect
774. #2763C2×C107semidirect
775. #2757C2×C107semidirect
776. #2738C2×C107semidirect
777. #2735C2×C107semidirect
778. #2729C2×C107semidirect
779. #2715C2×C107semidirect
780. #2706C2×C107semidirect
781. #2700C2×C107semidirect
782. #2696C2×C107semidirect
783. #2685C2×C107semidirect
784. #2684C2×C107semidirect
785. #2674C2×C107semidirect
787. #2638C2×C107semidirect
788. #2636C2×C107semidirect
789. #2575C2×C107semidirect
790. #2574C2×C107semidirect
791. #2560C2×C107semidirect
792. #2553C2×C107semidirect
793. #2461C2×C107semidirect
794. #2457C2×C107semidirect
795. #2452C2×C107semidirect
796. #2447C2×C107semidirect
797. #2337C2×C107semidirect
798. #2334C2×C107semidirect
799. C4×#120C2×C107semidirect
800. C107#36858direct (N × H)
802. C2×C4⋊Q8C22×C107semidirect
804. C2×#126C22×C107semidirect
810. C2×#123C22×C107semidirect
814. C2×C22⋊Q8C22×C107semidirect
820. #400C22×C107semidirect
821. #400C22×C107semidirect
822. #400C22×C107semidirect
823. #400C22×C107semidirect
826. #399C22×C107semidirect
827. #398C22×C107semidirect
828. #398C22×C107semidirect
829. #398C22×C107semidirect
830. #398C22×C107semidirect
836. #397C22×C107semidirect
837. #397C22×C107semidirect
838. #397C22×C107semidirect
839. #397C22×C107semidirect
840. #397C22×C107semidirect
844. #396C22×C107semidirect
845. #396C22×C107semidirect
846. #396C22×C107semidirect
847. #396C22×C107semidirect
848. #395C22×C107semidirect
849. #395C22×C107semidirect
850. #395C22×C107semidirect
859. #394C22×C107semidirect
863. #393C22×C107semidirect
864. #393C22×C107semidirect
868. #391C22×C107semidirect
869. #391C22×C107semidirect
870. #391C22×C107semidirect
871. #391C22×C107semidirect
876. #390C22×C107semidirect
877. #389C22×C107semidirect
878. #389C22×C107semidirect
879. #389C22×C107semidirect
880. #389C22×C107semidirect
894. #388C22×C107semidirect
895. #388C22×C107semidirect
896. #388C22×C107semidirect
897. #388C22×C107semidirect
898. #388C22×C107semidirect
899. #387C22×C107semidirect
900. #387C22×C107semidirect
901. #387C22×C107semidirect
902. #387C22×C107semidirect
903. #387C22×C107semidirect
904. #387C22×C107semidirect
905. #387C22×C107semidirect
906. #387C22×C107semidirect
907. #387C22×C107semidirect
918. #386C22×C107semidirect
932. #385C22×C107semidirect
933. #385C22×C107semidirect
934. #383C22×C107semidirect
935. #382C22×C107semidirect
936. #382C22×C107semidirect
937. #382C22×C107semidirect
940. #381C22×C107semidirect
944. #380C22×C107semidirect
949. C4×C4⋊C4C22×C107semidirect
950. C4×C4⋊C4C22×C107semidirect
951. C4×C4⋊C4C22×C107semidirect
955. C4×C22⋊C4C22×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#28492
C107×#28482
C107×#27972
C107×#27812
C107×#27802
C107×#27632
C107×#27572
C107×#27382
C107×#27352
C107×#27292
C107×#27152
C107×#27062
C107×#27002
C107×#26962
C107×#26852
C107×#26842
C107×#26742
C107×#26702
C107×#26382
C107×#26362
C107×#25752
C107×#25742
C107×#25602
C107×#25532
C107×#24612
C107×#24572
C107×#24522
C107×#24472
C107×#23372
C107×#23342
C4×#120×C1072
#36858107