Finite Group Databasebeta

← C107×#35066 #41061030

Subgroups — C107×#35066 #41061030

Order 27392.

1968 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#2866C211yesmaximal, characteristic, complemented
2C107×#2860C211yesmaximal, characteristic, complemented
3C107×#2853C211yesmaximal, characteristic, complemented
4C107×#2850C211yesmaximal, characteristic, complemented
5C107×#2651C211yesmaximal, characteristic, complemented
6C107×#2650C211yesmaximal, characteristic, complemented
7C107×#2649C211yesmaximal, characteristic, complemented
8C107×#2648C211yesmaximal, characteristic, complemented
9C107×#2597C211yesmaximal, characteristic, complemented
10C107×#2596C211yesmaximal, characteristic, complemented
11C107×#2560C211yesmaximal, characteristic, complemented
12C107×#2559C211yesmaximal, characteristic, complemented
13C107×#2529C211yesmaximal, characteristic, complemented
14C107×#2526C211yesmaximal, characteristic, complemented
15C107×#2505C211yesmaximal, characteristic, complemented
16C107×#2481C211yesmaximal, characteristic, complemented
17C107×#2480C211yesmaximal, characteristic, complemented
18C107×#2474C211yesmaximal, characteristic, complemented
19C107×#2472C211yesmaximal, characteristic, complemented
20C107×#2471C211yesmaximal, characteristic, complemented
21C107×#2449C211yesmaximal, characteristic, complemented
22C107×#2444C211yesmaximal, characteristic, complemented
23C107×#2424C211yesmaximal, characteristic
24C107×#2418C211yesmaximal, characteristic, complemented
25C107×#2329C211yesmaximal, characteristic, complemented
26C107×#2325C211yesmaximal, characteristic, complemented
27C107×#2321C211yesmaximal, characteristic, complemented
28C107×#2321C211yesmaximal, characteristic, complemented
29C107×#2290C211yesmaximal, characteristic, complemented
30C2×#388×C107C211yesmaximal, characteristic, complemented
31C42×D4×C107C211yesmaximal, characteristic, complemented
32C2×#126×C107C2211yescharacteristic
33C2×#126×C107C2211yescharacteristic, complemented
34C2×#124×C107C2211yescharacteristic
35C2×#123×C107C2211yescharacteristic
36C2×C22⋊Q8×C107C2211yescharacteristic
37C2×C22⋊Q8×C107C2211yescharacteristic, complemented
38C2×#121×C107C2211yescharacteristic
39C2×#121×C107C2211yescharacteristic
40C2×#120×C107C2211yescharacteristic
41C2×#120×C107C2211yescharacteristic
42C2×C4×D4×C107C2211yescharacteristic
43C2×C4×D4×C107C2211yescharacteristic
44C2×C4×D4×C107C2211yescharacteristic
45C2×C4×D4×C107C2211yescharacteristic
46C2×#117×C107C2211yescharacteristic, complemented
47C22×C4⋊C4×C107C2211yescharacteristic
48C22×C22⋊C4×C107C2211yescharacteristic
49C22×C22⋊C4×C107C2211yescharacteristic
50C22×C22⋊C4×C107C2211yescharacteristic
51C22×C42×C107C2211yescharacteristic
52C22×C42×C107C2211yescharacteristic, complemented
53#400×C107C2211yescharacteristic, complemented
54#400×C107C2211yescharacteristic, complemented
55#400×C107C2211yescharacteristic, complemented
56#400×C107C2211yescharacteristic, complemented
57#400×C107C2211yescharacteristic, complemented
58#400×C107C2211yescharacteristic, complemented
59#399×C107C2211yescharacteristic
60#399×C107C2211yescharacteristic, complemented
61#398×C107C2211yescharacteristic, complemented
62#398×C107C2211yescharacteristic, complemented
63#397×C107C2211yescharacteristic
64#397×C107C2211yescharacteristic
65#397×C107C2211yescharacteristic
66#397×C107C2211yescharacteristic
67#397×C107C2211yescharacteristic
68#397×C107C2211yescharacteristic, complemented
69#397×C107C2211yescharacteristic, complemented
70#397×C107C2211yescharacteristic, complemented
71#396×C107C2211yescharacteristic
72#396×C107C2211yescharacteristic
73#396×C107C2211yescharacteristic, complemented
74#396×C107C2211yescharacteristic, complemented
75#395×C107C2211yescharacteristic, complemented
76#394×C107C2211yescharacteristic
77#394×C107C2211yescharacteristic
78#394×C107C2211yescharacteristic
79#394×C107C2211yescharacteristic
80#394×C107C2211yescharacteristic
81#394×C107C2211yescharacteristic
82#394×C107C2211yescharacteristic, complemented
83#393×C107C2211yescharacteristic
84#392×C107C2211yescharacteristic
85#391×C107C2211yescharacteristic, complemented
86#391×C107C2211yescharacteristic, complemented
87#390×C107C2211yescharacteristic
88#390×C107C2211yescharacteristic
89#390×C107C2211yescharacteristic
90#390×C107C2211yescharacteristic
91#390×C107C2211yescharacteristic
92#390×C107C2211yescharacteristic
93#389×C107C2211yescharacteristic, complemented
94#389×C107C2211yescharacteristic, complemented
95#389×C107C2211yescharacteristic, complemented
96#389×C107C2211yescharacteristic, complemented
97#388×C107C2211yescharacteristic
98#388×C107C2211yescharacteristic
99#388×C107C2211yescharacteristic
100#388×C107C2211yescharacteristic
101#388×C107C2211yescharacteristic
102#388×C107C2211yescharacteristic
103#388×C107C2211yescharacteristic
104#388×C107C2211yescharacteristic
105#388×C107C2211yescharacteristic
106#388×C107C2211yescharacteristic
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, complemented
122#388×C107C2211yescharacteristic, complemented
123#388×C107C2211yescharacteristic, complemented
124#388×C107C2211yescharacteristic, complemented
125#388×C107C2211yescharacteristic, complemented
126#388×C107C2211yescharacteristic, complemented
127#387×C107C2211yescharacteristic, complemented
128#387×C107C2211yescharacteristic, complemented
129#387×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#387×C107C2211yescharacteristic, complemented
140#387×C107C2211yescharacteristic, complemented
141#386×C107C2211yescharacteristic
142#386×C107C2211yescharacteristic
143#386×C107C2211yescharacteristic
144#386×C107C2211yescharacteristic
145#386×C107C2211yescharacteristic
146#386×C107C2211yescharacteristic
147#386×C107C2211yescharacteristic
148#386×C107C2211yescharacteristic
149#386×C107C2211yescharacteristic
150#386×C107C2211yescharacteristic
151#386×C107C2211yescharacteristic
152#386×C107C2211yescharacteristic
153#386×C107C2211yescharacteristic, complemented
154#386×C107C2211yescharacteristic, complemented
155#386×C107C2211yescharacteristic, complemented
156#385×C107C2211yescharacteristic
157#385×C107C2211yescharacteristic
158#385×C107C2211yescharacteristic
159#385×C107C2211yescharacteristic
160#385×C107C2211yescharacteristic
161#385×C107C2211yescharacteristic
162#385×C107C2211yescharacteristic, complemented
163#385×C107C2211yescharacteristic, complemented
164#385×C107C2211yescharacteristic, complemented
165#382×C107C2211yescharacteristic, complemented
166#381×C107C2211yescharacteristic, complemented
167#380×C107C2211yescharacteristic
168#380×C107C2211yescharacteristic
169#379×C107C2211yescharacteristic
170#379×C107C2211yescharacteristic
171C4×C4⋊C4×C107C2211yescharacteristic, complemented
172C4×C4⋊C4×C107C2211yescharacteristic, complemented
173C4×C4⋊C4×C107C2211yescharacteristic, complemented
174C4×C4⋊C4×C107C2211yescharacteristic, complemented
175C4×C22⋊C4×C107C2211yescharacteristic
176C4×C22⋊C4×C107C2211yescharacteristic
177C4×C22⋊C4×C107C2211yescharacteristic
178C4×C22⋊C4×C107C2211yescharacteristic
179C4×C22⋊C4×C107C2211yescharacteristic, complemented
180C4×C22⋊C4×C107C2211yescharacteristic, complemented
181C4×C22⋊C4×C107C2211yescharacteristic, complemented
182C4×C22⋊C4×C107C2211yescharacteristic, complemented
183#376×C107C2211yescharacteristic, complemented
184C2×#95×C107C2211yescharacteristic
185C2×#95×C107C2211yescharacteristic
186C43×C107C2211yescharacteristic, complemented
187C25×C107C2311yescharacteristic
188C22×Q8×C107C2311yescharacteristic
189C22×D4×C107C2311yescharacteristic
190C22×D4×C107C2311yescharacteristic
191C22×D4×C107C2311yescharacteristic
192C22×D4×C107C2311yescharacteristic
193C22×D4×C107C2311yescharacteristic
194C22×D4×C107C2311yescharacteristic
195C22×D4×C107C2311yescharacteristic
196C23×C4×C107C2311yescharacteristic
197C23×C4×C107C2311yescharacteristic
198C23×C4×C107C2311yescharacteristic
199C23×C4×C107C2311yescharacteristic
200C23×C4×C107C2311yescharacteristic
201C23×C4×C107C2311yescharacteristic
202C23×C4×C107C2311yescharacteristic
203C23×C4×C107C2311yescharacteristic
204C23×C4×C107C2311yescharacteristic
205C23×C4×C107C2311yescharacteristic
206#126×C107—42no—
207#126×C107—42no—
208#124×C107—42no—
209#123×C107—42no—
210C22⋊Q8×C107—24no—
211C22⋊Q8×C107—42no—
212#121×C107—24no—
213#121×C107—42no—
214#120×C107—24no—
215#120×C107—24no—
216C4×D4×C107—24no—
217C4×D4×C107—24no—
218C4×D4×C107—24no—
219C4×D4×C107—24no—
220#117×C107—42no—
221C2×C4⋊C4×C107—42no—
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×C4⋊C4×C107C2311yescharacteristic
246C2×C4⋊C4×C107C2311yescharacteristic
247C2×C4⋊C4×C107C2311yescharacteristic
248C2×C4⋊C4×C107C2311yescharacteristic
249C2×C4⋊C4×C107C2311yescharacteristic
250C2×C22⋊C4×C107—24no—
251C2×C22⋊C4×C107—42no—
252C2×C22⋊C4×C107—42no—
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×C22⋊C4×C107C2311yescharacteristic
299C2×C22⋊C4×C107C2311yescharacteristic
300C2×C22⋊C4×C107C2311yescharacteristic
301C2×C42×C107—42no—
302C2×C42×C107—42no—
303C2×C42×C107C2311yescharacteristic
304C2×C42×C107C2311yescharacteristic
305C2×C42×C107C2311yescharacteristic
306C2×C42×C107C2311yescharacteristic
307C2×C42×C107C2311yescharacteristic
308C2×C42×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—41no—
377C2×Q8×C107—41no—
378C2×D4×C107—22no—
379C2×D4×C107—22no—
380C2×D4×C107—22no—
381C2×D4×C107—22no—
382C2×D4×C107—22no—
383C2×D4×C107—22no—
384C2×D4×C107—22no—
385C2×D4×C107—22no—
386C2×D4×C107—22no—
387C2×D4×C107—22no—
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—
396C2×D4×C107—41no—
397C2×D4×C107—41no—
398C2×D4×C107#4114yes—
399C22×C4×C107—22no—
400C22×C4×C107—22no—
401C22×C4×C107—22no—
402C22×C4×C107—22no—
403C22×C4×C107—22no—
404C22×C4×C107—22no—
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—41no—
413C22×C4×C107—41no—
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#4114yes—
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
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
455C4⋊C4×C107—22no—
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—22no—
466C4⋊C4×C107—22no—
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—
483C22⋊C4×C107—22no—
484C22⋊C4×C107—22no—
485C22⋊C4×C107—22no—
486C22⋊C4×C107—22no—
487C22⋊C4×C107—22no—
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—22no—
505C22⋊C4×C107—22no—
506C22⋊C4×C107—22no—
507C22⋊C4×C107—22no—
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#4114yes—
531C42×C107—22no—
532C42×C107—22no—
533C42×C107—22no—
534C42×C107—22no—
535C42×C107—22no—
536C42×C107—22no—
537C42×C107—22no—
538C42×C107—22no—
539C42×C107—41no—
540C42×C107—41no—
541C42×C107—41no—
542C42×C107—41no—
543C42×C107—41no—
544C42×C107—41no—
545C42×C107—41no—
546C42×C107—41no—
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—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—44no—
579C23×C107—44no—
580C23×C107—44no—
581C23×C107—82no—
582C23×C107—82no—
583C23×C107—82no—
584C23×C107—82no—
585C23×C107C2×#4112yes—
586C23×C107C2×#4112yes—
587C23×C107C2×#4112yes—
588C23×C107C2×#4112yes—
589C23×C107C2511yescharacteristic
590Q8×C107—82no—
591D4×C107—28no—
592D4×C107—44no—
593D4×C107—82no—
594D4×C107—82no—
595D4×C107—82no—
596D4×C107—82no—
597D4×C107—82no—
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—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—44no—
670C2×C4×C107—44no—
671C2×C4×C107—44no—
672C2×C4×C107—44no—
673C2×C4×C107—44no—
674C2×C4×C107—44no—
675C2×C4×C107—44no—
676C2×C4×C107—44no—
677C2×C4×C107—82no—
678C2×C4×C107—82no—
679C2×C4×C107C2×#4112yes—
680C2×C4×C107C2×#4112yes—
681C2×C4×C107C2×#4112yes—
682C2×C4×C107C2×#4112yes—
683C2×C4×C107C2×#4112yes—
684C2×C4×C107H(5,𝔽2)12yes—
685C2×C4×C107H(5,𝔽2)12yes—
686C22×C107—22no—
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—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—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—88no—
721C22×C107#52914yes—
722C22×C107C22×#4111yescharacteristic
723C22×C107C22×#4111yescharacteristic
724C22×C107C22×#4111yescharacteristic
725C22×C107C2×H(5,𝔽2)11yescharacteristic
726C22×C107C2×H(5,𝔽2)11yescharacteristic
727C22×C107#58511yescharacteristic
728C22×C107#58511yescharacteristic
729C4×C107—22no—
730C4×C107—22no—
731C4×C107—22no—
732C4×C107—22no—
733C4×C107—22no—
734C4×C107—22no—
735C4×C107—22no—
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—
755#35066C10711yesmaximal, characteristic, direct product factor, Sylow
756C2×C107—24no—
757C2×C107—42no—
758C2×C107—81no—
759C2×C107—81no—
760C2×C107—81no—
761C2×C107C2×#52911yescharacteristic
762C2×C107#345911yescharacteristic
763C2×C107#346011yescharacteristic
764C2×C107#351311yescharacteristic
765C2×C107#351411yescharacteristic
766C2×C107#351911yescharacteristic
767C2×C107#352111yescharacteristic
768#2866C2×C10711yescharacteristic, complemented
769#2860C2×C10711yescharacteristic, complemented
770#2853C2×C10711yescharacteristic, complemented
771#2850C2×C10711yescharacteristic, complemented
772#2651C2×C10711yescharacteristic, complemented
773#2650C2×C10711yescharacteristic, complemented
774#2649C2×C10711yescharacteristic, complemented
775#2648C2×C10711yescharacteristic, complemented
776#2597C2×C10711yescharacteristic, complemented
777#2596C2×C10711yescharacteristic, complemented
778#2560C2×C10711yescharacteristic, complemented
779#2559C2×C10711yescharacteristic, complemented
780#2529C2×C10711yescharacteristic, complemented
781#2526C2×C10711yescharacteristic, complemented
782#2505C2×C10711yescharacteristic, complemented
783#2481C2×C10711yescharacteristic, complemented
784#2480C2×C10711yescharacteristic, complemented
785#2474C2×C10711yescharacteristic, complemented
786#2472C2×C10711yescharacteristic, complemented
787#2471C2×C10711yescharacteristic, complemented
788#2449C2×C10711yescharacteristic, complemented
789#2444C2×C10711yescharacteristic, complemented
790#2424C2×C10711yescharacteristic
791#2418C2×C10711yescharacteristic, complemented
792#2329C2×C10711yescharacteristic, complemented
793#2325C2×C10711yescharacteristic, complemented
794#2321C2×C10711yescharacteristic, complemented
795#2321C2×C10711yescharacteristic, complemented
796#2290C2×C10711yescharacteristic, complemented
797C2×#388C2×C10711yescharacteristic, complemented
798C42×D4C2×C10711yescharacteristic, complemented
799C107#3506611yescharacteristic, direct product factor, Sylow
800C2×#126C22×C10711yescharacteristic
801C2×#126C22×C10711yescharacteristic, complemented
802C2×#124C22×C10711yescharacteristic
803C2×#123C22×C10711yescharacteristic
804C2×C22⋊Q8C22×C10711yescharacteristic
805C2×C22⋊Q8C22×C10711yescharacteristic, complemented
806C2×#121C22×C10711yescharacteristic
807C2×#121C22×C10711yescharacteristic
808C2×#120C22×C10711yescharacteristic
809C2×#120C22×C10711yescharacteristic
810C2×C4×D4C22×C10711yescharacteristic
811C2×C4×D4C22×C10711yescharacteristic
812C2×C4×D4C22×C10711yescharacteristic
813C2×C4×D4C22×C10711yescharacteristic
814C2×#117C22×C10711yescharacteristic, complemented
815C22×C4⋊C4C22×C10711yescharacteristic
816C22×C22⋊C4C22×C10711yescharacteristic
817C22×C22⋊C4C22×C10711yescharacteristic
818C22×C22⋊C4C22×C10711yescharacteristic
819C22×C42C22×C10711yescharacteristic
820C22×C42C22×C10711yescharacteristic, complemented
821#400C22×C10711yescharacteristic, complemented
822#400C22×C10711yescharacteristic, complemented
823#400C22×C10711yescharacteristic, complemented
824#400C22×C10711yescharacteristic, complemented
825#400C22×C10711yescharacteristic, complemented
826#400C22×C10711yescharacteristic, complemented
827#399C22×C10711yescharacteristic
828#399C22×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#396C22×C10711yescharacteristic
840#396C22×C10711yescharacteristic
841#396C22×C10711yescharacteristic, complemented
842#396C22×C10711yescharacteristic, complemented
843#395C22×C10711yescharacteristic, complemented
844#394C22×C10711yescharacteristic
845#394C22×C10711yescharacteristic
846#394C22×C10711yescharacteristic
847#394C22×C10711yescharacteristic
848#394C22×C10711yescharacteristic
849#394C22×C10711yescharacteristic
850#394C22×C10711yescharacteristic, complemented
851#393C22×C10711yescharacteristic
852#392C22×C10711yescharacteristic
853#391C22×C10711yescharacteristic, complemented
854#391C22×C10711yescharacteristic, complemented
855#390C22×C10711yescharacteristic
856#390C22×C10711yescharacteristic
857#390C22×C10711yescharacteristic
858#390C22×C10711yescharacteristic
859#390C22×C10711yescharacteristic
860#390C22×C10711yescharacteristic
861#389C22×C10711yescharacteristic, complemented
862#389C22×C10711yescharacteristic, complemented
863#389C22×C10711yescharacteristic, complemented
864#389C22×C10711yescharacteristic, complemented
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
882#388C22×C10711yescharacteristic
883#388C22×C10711yescharacteristic
884#388C22×C10711yescharacteristic
885#388C22×C10711yescharacteristic
886#388C22×C10711yescharacteristic
887#388C22×C10711yescharacteristic
888#388C22×C10711yescharacteristic
889#388C22×C10711yescharacteristic, complemented
890#388C22×C10711yescharacteristic, complemented
891#388C22×C10711yescharacteristic, complemented
892#388C22×C10711yescharacteristic, complemented
893#388C22×C10711yescharacteristic, complemented
894#388C22×C10711yescharacteristic, complemented
895#387C22×C10711yescharacteristic, complemented
896#387C22×C10711yescharacteristic, complemented
897#387C22×C10711yescharacteristic, complemented
898#387C22×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#387C22×C10711yescharacteristic, complemented
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
919#386C22×C10711yescharacteristic
920#386C22×C10711yescharacteristic
921#386C22×C10711yescharacteristic, complemented
922#386C22×C10711yescharacteristic, complemented
923#386C22×C10711yescharacteristic, complemented
924#385C22×C10711yescharacteristic
925#385C22×C10711yescharacteristic
926#385C22×C10711yescharacteristic
927#385C22×C10711yescharacteristic
928#385C22×C10711yescharacteristic
929#385C22×C10711yescharacteristic
930#385C22×C10711yescharacteristic, complemented
931#385C22×C10711yescharacteristic, complemented
932#385C22×C10711yescharacteristic, complemented
933#382C22×C10711yescharacteristic, complemented
934#381C22×C10711yescharacteristic, complemented
935#380C22×C10711yescharacteristic
936#380C22×C10711yescharacteristic
937#379C22×C10711yescharacteristic
938#379C22×C10711yescharacteristic
939C4×C4⋊C4C22×C10711yescharacteristic, complemented
940C4×C4⋊C4C22×C10711yescharacteristic, complemented
941C4×C4⋊C4C22×C10711yescharacteristic, complemented
942C4×C4⋊C4C22×C10711yescharacteristic, complemented
943C4×C22⋊C4C22×C10711yescharacteristic
944C4×C22⋊C4C22×C10711yescharacteristic
945C4×C22⋊C4C22×C10711yescharacteristic
946C4×C22⋊C4C22×C10711yescharacteristic
947C4×C22⋊C4C22×C10711yescharacteristic, complemented
948C4×C22⋊C4C22×C10711yescharacteristic, complemented
949C4×C22⋊C4C22×C10711yescharacteristic, complemented
950C4×C22⋊C4C22×C10711yescharacteristic, complemented
951#376C22×C10711yescharacteristic, complemented
952C2×#95C22×C10711yescharacteristic
953C2×#95C22×C10711yescharacteristic
954C43C22×C10711yescharacteristic, complemented
955C25C23×C10711yescharacteristic
956C22×Q8C23×C10711yescharacteristic
957C22×D4C23×C10711yescharacteristic
958C22×D4C23×C10711yescharacteristic
959C22×D4C23×C10711yescharacteristic
960C22×D4C23×C10711yescharacteristic
961C22×D4C23×C10711yescharacteristic
962C22×D4C23×C10711yescharacteristic
963C22×D4C23×C10711yescharacteristic
964C23×C4C23×C10711yescharacteristic
965C23×C4C23×C10711yescharacteristic
966C23×C4C23×C10711yescharacteristic
967C23×C4C23×C10711yescharacteristic
968C23×C4C23×C10711yescharacteristic
969C23×C4C23×C10711yescharacteristic
970C23×C4C23×C10711yescharacteristic
971C23×C4C23×C10711yescharacteristic
972C23×C4C23×C10711yescharacteristic
973C23×C4C23×C10711yescharacteristic
974#126—42no—
975#126—42no—
976#124—42no—
977#123—42no—
978C22⋊Q8—24no—
979C22⋊Q8—42no—
980#121—24no—
981#121—42no—
982#120—24no—
983#120—24no—
984C4×D4—24no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—24no—
988#117—42no—
989C2×C4⋊C4—42no—
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×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×C22⋊C4—24no—
1019C2×C22⋊C4—42no—
1020C2×C22⋊C4—42no—
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×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×C42—42no—
1070C2×C42—42no—
1071C2×C42C23×C10711yescharacteristic
1072C2×C42C23×C10711yescharacteristic
1073C2×C42C23×C10711yescharacteristic
1074C2×C42C23×C10711yescharacteristic
1075C2×C42C23×C10711yescharacteristic
1076C2×C42C23×C10711yescharacteristic
1077C2×C42C23×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
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
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
1131C24—22no—
1132C24—22no—
1133C24—22no—
1134C24—41no—
1135C24—41no—
1136C24—41no—
1137C24—41no—
1138C24C24×C10711yescharacteristic
1139C24C24×C10711yescharacteristic
1140C24C24×C10711yescharacteristic
1141C24C24×C10711yescharacteristic
1142C24C24×C10711yescharacteristic
1143C2×Q8—22no—
1144C2×Q8—41no—
1145C2×Q8—41no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4#41×C10714yes—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
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#41×C10714yes—
1197C22×C4C24×C10711yescharacteristic
1198C22×C4C24×C10711yescharacteristic
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
1223C4⋊C4—22no—
1224C4⋊C4—22no—
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—22no—
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—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
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—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
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#41×C10714yes—
1299C42—22no—
1300C42—22no—
1301C42—22no—
1302C42—22no—
1303C42—22no—
1304C42—22no—
1305C42—22no—
1306C42—22no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C23—21no—
1316C23—21no—
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—44no—
1347C23—44no—
1348C23—44no—
1349C23—82no—
1350C23—82no—
1351C23—82no—
1352C23—82no—
1353C23C2×#41×C10712yes—
1354C23C2×#41×C10712yes—
1355C23C2×#41×C10712yes—
1356C23C2×#41×C10712yes—
1357C23C25×C10711yescharacteristic
1358Q8—82no—
1359D4—28no—
1360D4—44no—
1361D4—82no—
1362D4—82no—
1363D4—82no—
1364D4—82no—
1365D4—82no—
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—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—44no—
1438C2×C4—44no—
1439C2×C4—44no—
1440C2×C4—44no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—82no—
1446C2×C4—82no—
1447C2×C4C2×#41×C10712yes—
1448C2×C4C2×#41×C10712yes—
1449C2×C4C2×#41×C10712yes—
1450C2×C4C2×#41×C10712yes—
1451C2×C4C2×#41×C10712yes—
1452C2×C4H(5,𝔽2)×C10712yes—
1453C2×C4H(5,𝔽2)×C10712yes—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
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—88no—
1489C22#529×C10714yes—
1490C22C22×#41×C10711yescharacteristic
1491C22C22×#41×C10711yescharacteristic
1492C22C22×#41×C10711yescharacteristic
1493C22C2×H(5,𝔽2)×C10711yescharacteristic
1494C22C2×H(5,𝔽2)×C10711yescharacteristic
1495C22#585×C10711yescharacteristic
1496C22#585×C10711yescharacteristic
1497C4—22no—
1498C4—22no—
1499C4—22no—
1500C4—22no—
1501C4—22no—
1502C4—22no—
1503C4—22no—
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—
1523C2—24no—
1524C2—42no—
1525C2—81no—
1526C2—81no—
1527C2—81no—
1528C2C2×#529×C10711yescharacteristic
1529C2C107×#345911yescharacteristic
1530C2C107×#346011yescharacteristic
1531C2C107×#351311yescharacteristic
1532C2C107×#351411yescharacteristic
1533C2C107×#351911yescharacteristic
1534C2C107×#352111yescharacteristic
subgroupG/H
center, socleC23×C107C25
commutator, Frattini, cosocleC23C25×C107
prime radicalC107×#2424C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C107×#2866C2semidirect
2. C107×#2860C2semidirect
3. C107×#2853C2semidirect
4. C107×#2850C2semidirect
5. C107×#2651C2semidirect
6. C107×#2650C2semidirect
7. C107×#2649C2semidirect
8. C107×#2648C2semidirect
9. C107×#2597C2semidirect
10. C107×#2596C2semidirect
11. C107×#2560C2semidirect
12. C107×#2559C2semidirect
13. C107×#2529C2semidirect
14. C107×#2526C2semidirect
15. C107×#2505C2semidirect
16. C107×#2481C2semidirect
17. C107×#2480C2semidirect
18. C107×#2474C2semidirect
19. C107×#2472C2semidirect
20. C107×#2471C2semidirect
21. C107×#2449C2semidirect
22. C107×#2444C2semidirect
24. C107×#2418C2semidirect
25. C107×#2329C2semidirect
26. C107×#2325C2semidirect
27. C107×#2321C2semidirect
28. C107×#2321C2semidirect
29. C107×#2290C2semidirect
30. C2×#388×C107C2semidirect
31. C42×D4×C107C2semidirect
33. C2×#126×C107C22semidirect
37. C2×C22⋊Q8×C107C22semidirect
46. C2×#117×C107C22semidirect
52. C22×C42×C107C22semidirect
53. #400×C107C22semidirect
54. #400×C107C22semidirect
55. #400×C107C22semidirect
56. #400×C107C22semidirect
57. #400×C107C22semidirect
58. #400×C107C22semidirect
60. #399×C107C22semidirect
61. #398×C107C22semidirect
62. #398×C107C22semidirect
68. #397×C107C22semidirect
69. #397×C107C22semidirect
70. #397×C107C22semidirect
73. #396×C107C22semidirect
74. #396×C107C22semidirect
75. #395×C107C22semidirect
82. #394×C107C22semidirect
85. #391×C107C22semidirect
86. #391×C107C22semidirect
93. #389×C107C22semidirect
94. #389×C107C22semidirect
95. #389×C107C22semidirect
96. #389×C107C22semidirect
121. #388×C107C22semidirect
122. #388×C107C22semidirect
123. #388×C107C22semidirect
124. #388×C107C22semidirect
125. #388×C107C22semidirect
126. #388×C107C22semidirect
127. #387×C107C22semidirect
128. #387×C107C22semidirect
129. #387×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
139. #387×C107C22semidirect
140. #387×C107C22semidirect
153. #386×C107C22semidirect
154. #386×C107C22semidirect
155. #386×C107C22semidirect
162. #385×C107C22semidirect
163. #385×C107C22semidirect
164. #385×C107C22semidirect
165. #382×C107C22semidirect
166. #381×C107C22semidirect
171. C4×C4⋊C4×C107C22semidirect
172. C4×C4⋊C4×C107C22semidirect
173. C4×C4⋊C4×C107C22semidirect
174. C4×C4⋊C4×C107C22semidirect
179. C4×C22⋊C4×C107C22semidirect
180. C4×C22⋊C4×C107C22semidirect
181. C4×C22⋊C4×C107C22semidirect
182. C4×C22⋊C4×C107C22semidirect
183. #376×C107C22semidirect
186. C43×C107C22semidirect
755. #35066C107direct (N × H)
768. #2866C2×C107semidirect
769. #2860C2×C107semidirect
770. #2853C2×C107semidirect
771. #2850C2×C107semidirect
772. #2651C2×C107semidirect
773. #2650C2×C107semidirect
774. #2649C2×C107semidirect
775. #2648C2×C107semidirect
776. #2597C2×C107semidirect
777. #2596C2×C107semidirect
778. #2560C2×C107semidirect
779. #2559C2×C107semidirect
780. #2529C2×C107semidirect
781. #2526C2×C107semidirect
782. #2505C2×C107semidirect
783. #2481C2×C107semidirect
784. #2480C2×C107semidirect
785. #2474C2×C107semidirect
786. #2472C2×C107semidirect
787. #2471C2×C107semidirect
788. #2449C2×C107semidirect
789. #2444C2×C107semidirect
791. #2418C2×C107semidirect
792. #2329C2×C107semidirect
793. #2325C2×C107semidirect
794. #2321C2×C107semidirect
795. #2321C2×C107semidirect
796. #2290C2×C107semidirect
797. C2×#388C2×C107semidirect
798. C42×D4C2×C107semidirect
799. C107#35066direct (N × H)
801. C2×#126C22×C107semidirect
805. C2×C22⋊Q8C22×C107semidirect
814. C2×#117C22×C107semidirect
820. C22×C42C22×C107semidirect
821. #400C22×C107semidirect
822. #400C22×C107semidirect
823. #400C22×C107semidirect
824. #400C22×C107semidirect
825. #400C22×C107semidirect
826. #400C22×C107semidirect
828. #399C22×C107semidirect
829. #398C22×C107semidirect
830. #398C22×C107semidirect
836. #397C22×C107semidirect
837. #397C22×C107semidirect
838. #397C22×C107semidirect
841. #396C22×C107semidirect
842. #396C22×C107semidirect
843. #395C22×C107semidirect
850. #394C22×C107semidirect
853. #391C22×C107semidirect
854. #391C22×C107semidirect
861. #389C22×C107semidirect
862. #389C22×C107semidirect
863. #389C22×C107semidirect
864. #389C22×C107semidirect
889. #388C22×C107semidirect
890. #388C22×C107semidirect
891. #388C22×C107semidirect
892. #388C22×C107semidirect
893. #388C22×C107semidirect
894. #388C22×C107semidirect
895. #387C22×C107semidirect
896. #387C22×C107semidirect
897. #387C22×C107semidirect
898. #387C22×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
908. #387C22×C107semidirect
921. #386C22×C107semidirect
922. #386C22×C107semidirect
923. #386C22×C107semidirect
930. #385C22×C107semidirect
931. #385C22×C107semidirect
932. #385C22×C107semidirect
933. #382C22×C107semidirect
934. #381C22×C107semidirect
939. C4×C4⋊C4C22×C107semidirect
940. C4×C4⋊C4C22×C107semidirect
941. C4×C4⋊C4C22×C107semidirect
942. C4×C4⋊C4C22×C107semidirect
947. C4×C22⋊C4C22×C107semidirect
948. C4×C22⋊C4C22×C107semidirect
949. C4×C22⋊C4C22×C107semidirect
950. C4×C22⋊C4C22×C107semidirect
951. #376C22×C107semidirect
954. C43C22×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#28662
C107×#28602
C107×#28532
C107×#28502
C107×#26512
C107×#26502
C107×#26492
C107×#26482
C107×#25972
C107×#25962
C107×#25602
C107×#25592
C107×#25292
C107×#25262
C107×#25052
C107×#24812
C107×#24802
C107×#24742
C107×#24722
C107×#24712
C107×#24492
C107×#24442
C107×#24242
C107×#24182
C107×#23292
C107×#23252
C107×#23212
C107×#22902
C2×#388×C1072
C42×D4×C1072
#35066107