Finite Group Databasebeta

← C107×#35028 #41060992

Subgroups — C107×#35028 #41060992

Order 27392.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#2866C211yesmaximal, characteristic, complemented
2C107×#2865C211yesmaximal, characteristic, complemented
3C107×#2853C211yesmaximal, characteristic, complemented
4C107×#2852C211yesmaximal, characteristic, complemented
5C107×#2655C211yesmaximal, characteristic, complemented
6C107×#2652C211yesmaximal, characteristic, complemented
7C107×#2651C211yesmaximal, characteristic, complemented
8C107×#2648C211yesmaximal, characteristic, complemented
9C107×#2591C211yesmaximal, characteristic, complemented
10C107×#2579C211yesmaximal, characteristic, complemented
11C107×#2578C211yesmaximal, characteristic, complemented
12C107×#2577C211yesmaximal, characteristic, complemented
13C107×#2576C211yesmaximal, characteristic, complemented
14C107×#2575C211yesmaximal, characteristic, complemented
15C107×#2569C211yesmaximal, characteristic, complemented
16C107×#2543C211yesmaximal, characteristic
17C107×#2524C211yesmaximal, characteristic, complemented
18C107×#2515C211yesmaximal, characteristic, complemented
19C107×#2510C211yesmaximal, characteristic, complemented
20C107×#2481C211yesmaximal, characteristic, complemented
21C107×#2468C211yesmaximal, characteristic, complemented
22C107×#2457C211yesmaximal, characteristic, complemented
23C107×#2444C211yesmaximal, characteristic, complemented
24C107×#2443C211yesmaximal, characteristic, complemented
25C107×#2325C211yesmaximal, characteristic, complemented
26C107×#2325C211yesmaximal, characteristic, complemented
27C107×#2318C211yesmaximal, characteristic, complemented
28C107×#2318C211yesmaximal, characteristic, complemented
29C4×#121×C107C211yesmaximal, characteristic, complemented
30C2×#387×C107C211yesmaximal, characteristic, complemented
31C42×D4×C107C211yesmaximal, characteristic, complemented
32C2×#126×C107C2211yescharacteristic
33C2×#123×C107C2211yescharacteristic
34C2×#121×C107C2211yescharacteristic
35C2×#121×C107C2211yescharacteristic
36C2×#121×C107C2211yescharacteristic
37C2×C4×D4×C107C2211yescharacteristic
38C2×C4×D4×C107C2211yescharacteristic
39C2×C4×D4×C107C2211yescharacteristic
40C2×C4×D4×C107C2211yescharacteristic
41C2×C4×D4×C107C2211yescharacteristic
42C2×C4×D4×C107C2211yescharacteristic
43C22×C4⋊C4×C107C2211yescharacteristic
44C22×C4⋊C4×C107C2211yescharacteristic
45C22×C42×C107C2211yescharacteristic
46C22×C42×C107C2211yescharacteristic
47#401×C107C2211yescharacteristic
48#400×C107C2211yescharacteristic
49#400×C107C2211yescharacteristic
50#400×C107C2211yescharacteristic
51#400×C107C2211yescharacteristic
52#400×C107C2211yescharacteristic
53#400×C107C2211yescharacteristic
54#400×C107C2211yescharacteristic
55#400×C107C2211yescharacteristic
56#399×C107C2211yescharacteristic
57#398×C107C2211yescharacteristic
58#398×C107C2211yescharacteristic
59#398×C107C2211yescharacteristic
60#398×C107C2211yescharacteristic
61#398×C107C2211yescharacteristic
62#398×C107C2211yescharacteristic
63#397×C107C2211yescharacteristic
64#397×C107C2211yescharacteristic
65#397×C107C2211yescharacteristic
66#397×C107C2211yescharacteristic
67#397×C107C2211yescharacteristic
68#397×C107C2211yescharacteristic
69#397×C107C2211yescharacteristic
70#396×C107C2211yescharacteristic
71#396×C107C2211yescharacteristic
72#396×C107C2211yescharacteristic
73#394×C107C2211yescharacteristic
74#394×C107C2211yescharacteristic
75#394×C107C2211yescharacteristic
76#394×C107C2211yescharacteristic
77#394×C107C2211yescharacteristic
78#392×C107C2211yescharacteristic
79#390×C107C2211yescharacteristic
80#389×C107C2211yescharacteristic
81#388×C107C2211yescharacteristic
82#388×C107C2211yescharacteristic
83#388×C107C2211yescharacteristic
84#388×C107C2211yescharacteristic
85#388×C107C2211yescharacteristic
86#388×C107C2211yescharacteristic
87#388×C107C2211yescharacteristic
88#388×C107C2211yescharacteristic
89#388×C107C2211yescharacteristic
90#388×C107C2211yescharacteristic
91#388×C107C2211yescharacteristic
92#388×C107C2211yescharacteristic
93#388×C107C2211yescharacteristic
94#388×C107C2211yescharacteristic
95#388×C107C2211yescharacteristic
96#388×C107C2211yescharacteristic
97#388×C107C2211yescharacteristic
98#388×C107C2211yescharacteristic
99#388×C107C2211yescharacteristic
100#388×C107C2211yescharacteristic
101#388×C107C2211yescharacteristic
102#387×C107C2211yescharacteristic
103#387×C107C2211yescharacteristic
104#387×C107C2211yescharacteristic
105#387×C107C2211yescharacteristic
106#387×C107C2211yescharacteristic
107#387×C107C2211yescharacteristic
108#387×C107C2211yescharacteristic
109#387×C107C2211yescharacteristic
110#387×C107C2211yescharacteristic
111#387×C107C2211yescharacteristic
112#387×C107C2211yescharacteristic
113#387×C107C2211yescharacteristic
114#387×C107C2211yescharacteristic
115#387×C107C2211yescharacteristic
116#387×C107C2211yescharacteristic
117#387×C107C2211yescharacteristic
118#387×C107C2211yescharacteristic
119#387×C107C2211yescharacteristic
120#387×C107C2211yescharacteristic
121#387×C107C2211yescharacteristic
122#387×C107C2211yescharacteristic
123#387×C107C2211yescharacteristic
124#387×C107C2211yescharacteristic
125#387×C107C2211yescharacteristic
126#387×C107C2211yescharacteristic
127#387×C107C2211yescharacteristic
128#387×C107C2211yescharacteristic
129#386×C107C2211yescharacteristic
130#386×C107C2211yescharacteristic
131#386×C107C2211yescharacteristic
132#386×C107C2211yescharacteristic
133#386×C107C2211yescharacteristic
134#386×C107C2211yescharacteristic
135#386×C107C2211yescharacteristic
136#386×C107C2211yescharacteristic
137#386×C107C2211yescharacteristic
138#386×C107C2211yescharacteristic
139#386×C107C2211yescharacteristic
140#386×C107C2211yescharacteristic
141#386×C107C2211yescharacteristic
142#386×C107C2211yescharacteristic
143#386×C107C2211yescharacteristic
144#386×C107C2211yescharacteristic
145#386×C107C2211yescharacteristic
146#385×C107C2211yescharacteristic
147#385×C107C2211yescharacteristic
148#385×C107C2211yescharacteristic
149#385×C107C2211yescharacteristic
150#385×C107C2211yescharacteristic
151#385×C107C2211yescharacteristic
152#385×C107C2211yescharacteristic
153#385×C107C2211yescharacteristic
154#385×C107C2211yescharacteristic
155#385×C107C2211yescharacteristic
156#385×C107C2211yescharacteristic
157#383×C107C2211yescharacteristic
158#383×C107C2211yescharacteristic
159#383×C107C2211yescharacteristic
160#382×C107C2211yescharacteristic
161#382×C107C2211yescharacteristic
162#381×C107C2211yescharacteristic
163#381×C107C2211yescharacteristic
164#381×C107C2211yescharacteristic
165#380×C107C2211yescharacteristic
166#380×C107C2211yescharacteristic
167#380×C107C2211yescharacteristic
168#380×C107C2211yescharacteristic
169#380×C107C2211yescharacteristic
170C4×C4⋊C4×C107C2211yescharacteristic
171C4×C4⋊C4×C107C2211yescharacteristic
172C4×C4⋊C4×C107C2211yescharacteristic
173C4×C4⋊C4×C107C2211yescharacteristic
174C4×C22⋊C4×C107C2211yescharacteristic
175C4×C22⋊C4×C107C2211yescharacteristic
176C4×C22⋊C4×C107C2211yescharacteristic
177C4×C22⋊C4×C107C2211yescharacteristic
178C4×C22⋊C4×C107C2211yescharacteristic
179C4×C22⋊C4×C107C2211yescharacteristic
180C4×C22⋊C4×C107C2211yescharacteristic
181C4×C22⋊C4×C107C2211yescharacteristic
182C2×#95×C107C2211yescharacteristic
183C2×#95×C107C2211yescharacteristic
184C2×#95×C107C2211yescharacteristic
185C2×#95×C107C2211yescharacteristic
186C43×C107C2211yescharacteristic
187C22×D4×C107C2311yescharacteristic
188C22×D4×C107C2311yescharacteristic
189C22×D4×C107C2311yescharacteristic
190C22×D4×C107C2311yescharacteristic
191C22×D4×C107C2311yescharacteristic
192C22×D4×C107C2311yescharacteristic
193C23×C4×C107C2311yescharacteristic
194C23×C4×C107C2311yescharacteristic
195C23×C4×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
205#126×C107—42no—
206#123×C107—42no—
207#121×C107—24no—
208#121×C107—24no—
209#121×C107—24no—
210C4×D4×C107—24no—
211C4×D4×C107—24no—
212C4×D4×C107—24no—
213C4×D4×C107—24no—
214C4×D4×C107—24no—
215C4×D4×C107—42no—
216C2×C4⋊C4×C107—24no—
217C2×C4⋊C4×C107—42no—
218C2×C4⋊C4×C107C2311yescharacteristic
219C2×C4⋊C4×C107C2311yescharacteristic
220C2×C4⋊C4×C107C2311yescharacteristic
221C2×C4⋊C4×C107C2311yescharacteristic
222C2×C4⋊C4×C107C2311yescharacteristic
223C2×C4⋊C4×C107C2311yescharacteristic
224C2×C4⋊C4×C107C2311yescharacteristic
225C2×C4⋊C4×C107C2311yescharacteristic
226C2×C4⋊C4×C107C2311yescharacteristic
227C2×C4⋊C4×C107C2311yescharacteristic
228C2×C4⋊C4×C107C2311yescharacteristic
229C2×C4⋊C4×C107C2311yescharacteristic
230C2×C4⋊C4×C107C2311yescharacteristic
231C2×C4⋊C4×C107C2311yescharacteristic
232C2×C4⋊C4×C107C2311yescharacteristic
233C2×C4⋊C4×C107C2311yescharacteristic
234C2×C4⋊C4×C107C2311yescharacteristic
235C2×C4⋊C4×C107C2311yescharacteristic
236C2×C4⋊C4×C107C2311yescharacteristic
237C2×C4⋊C4×C107C2311yescharacteristic
238C2×C4⋊C4×C107C2311yescharacteristic
239C2×C4⋊C4×C107C2311yescharacteristic
240C2×C4⋊C4×C107C2311yescharacteristic
241C2×C4⋊C4×C107C2311yescharacteristic
242C2×C4⋊C4×C107C2311yescharacteristic
243C2×C4⋊C4×C107C2311yescharacteristic
244C2×C4⋊C4×C107C2311yescharacteristic
245C2×C4⋊C4×C107C2311yescharacteristic
246C2×C4⋊C4×C107C2311yescharacteristic
247C2×C4⋊C4×C107C2311yescharacteristic
248C2×C22⋊C4×C107C2311yescharacteristic
249C2×C22⋊C4×C107C2311yescharacteristic
250C2×C22⋊C4×C107C2311yescharacteristic
251C2×C22⋊C4×C107C2311yescharacteristic
252C2×C22⋊C4×C107C2311yescharacteristic
253C2×C22⋊C4×C107C2311yescharacteristic
254C2×C22⋊C4×C107C2311yescharacteristic
255C2×C22⋊C4×C107C2311yescharacteristic
256C2×C22⋊C4×C107C2311yescharacteristic
257C2×C22⋊C4×C107C2311yescharacteristic
258C2×C22⋊C4×C107C2311yescharacteristic
259C2×C22⋊C4×C107C2311yescharacteristic
260C2×C22⋊C4×C107C2311yescharacteristic
261C2×C22⋊C4×C107C2311yescharacteristic
262C2×C22⋊C4×C107C2311yescharacteristic
263C2×C22⋊C4×C107C2311yescharacteristic
264C2×C22⋊C4×C107C2311yescharacteristic
265C2×C22⋊C4×C107C2311yescharacteristic
266C2×C22⋊C4×C107C2311yescharacteristic
267C2×C22⋊C4×C107C2311yescharacteristic
268C2×C22⋊C4×C107C2311yescharacteristic
269C2×C22⋊C4×C107C2311yescharacteristic
270C2×C22⋊C4×C107C2311yescharacteristic
271C2×C22⋊C4×C107C2311yescharacteristic
272C2×C22⋊C4×C107C2311yescharacteristic
273C2×C22⋊C4×C107C2311yescharacteristic
274C2×C22⋊C4×C107C2311yescharacteristic
275C2×C22⋊C4×C107C2311yescharacteristic
276C2×C22⋊C4×C107C2311yescharacteristic
277C2×C22⋊C4×C107C2311yescharacteristic
278C2×C22⋊C4×C107C2311yescharacteristic
279C2×C22⋊C4×C107C2311yescharacteristic
280C2×C22⋊C4×C107C2311yescharacteristic
281C2×C22⋊C4×C107C2311yescharacteristic
282C2×C22⋊C4×C107C2311yescharacteristic
283C2×C22⋊C4×C107C2311yescharacteristic
284C2×C42×C107—42no—
285C2×C42×C107—42no—
286C2×C42×C107C2311yescharacteristic
287C2×C42×C107C2311yescharacteristic
288C2×C42×C107C2311yescharacteristic
289C2×C42×C107C2311yescharacteristic
290C2×C42×C107C2311yescharacteristic
291C2×C42×C107C2311yescharacteristic
292C2×C42×C107C2311yescharacteristic
293C2×C42×C107C2311yescharacteristic
294C2×C42×C107C2311yescharacteristic
295C2×C42×C107C2311yescharacteristic
296C2×C42×C107C2311yescharacteristic
297C2×C42×C107C2311yescharacteristic
298C2×C42×C107C2311yescharacteristic
299C2×C42×C107C2311yescharacteristic
300C2×C42×C107C2311yescharacteristic
301#95×C107C2311yescharacteristic
302#95×C107C2311yescharacteristic
303#95×C107C2311yescharacteristic
304#95×C107C2311yescharacteristic
305#95×C107C2311yescharacteristic
306#95×C107C2311yescharacteristic
307#95×C107C2311yescharacteristic
308#95×C107C2311yescharacteristic
309#95×C107C2311yescharacteristic
310#95×C107C2311yescharacteristic
311#95×C107C2311yescharacteristic
312#95×C107C2311yescharacteristic
313#95×C107C2311yescharacteristic
314#95×C107C2311yescharacteristic
315#95×C107C2311yescharacteristic
316#95×C107C2311yescharacteristic
317#95×C107C2311yescharacteristic
318#95×C107C2311yescharacteristic
319#95×C107C2311yescharacteristic
320#95×C107C2311yescharacteristic
321#95×C107C2311yescharacteristic
322#95×C107C2311yescharacteristic
323#95×C107C2311yescharacteristic
324#95×C107C2311yescharacteristic
325#95×C107C2311yescharacteristic
326#95×C107C2311yescharacteristic
327#95×C107C2311yescharacteristic
328#95×C107C2311yescharacteristic
329#95×C107C2311yescharacteristic
330#95×C107C2311yescharacteristic
331#95×C107C2311yescharacteristic
332#95×C107C2311yescharacteristic
333#95×C107C2311yescharacteristic
334#95×C107C2311yescharacteristic
335#95×C107C2311yescharacteristic
336#95×C107C2311yescharacteristic
337#95×C107C2311yescharacteristic
338#95×C107C2311yescharacteristic
339#95×C107C2311yescharacteristic
340#95×C107C2311yescharacteristic
341#95×C107C2311yescharacteristic
342#95×C107C2311yescharacteristic
343#95×C107C2311yescharacteristic
344#95×C107C2311yescharacteristic
345#95×C107C2311yescharacteristic
346#95×C107C2311yescharacteristic
347#95×C107C2311yescharacteristic
348#95×C107C2311yescharacteristic
349#95×C107C2311yescharacteristic
350#95×C107C2311yescharacteristic
351#95×C107C2311yescharacteristic
352#95×C107C2311yescharacteristic
353#95×C107C2311yescharacteristic
354#95×C107C2311yescharacteristic
355#95×C107C2311yescharacteristic
356#95×C107C2311yescharacteristic
357C24×C107C2411yescharacteristic
358C24×C107C2411yescharacteristic
359C24×C107C2411yescharacteristic
360C24×C107C2411yescharacteristic
361C2×D4×C107—22no—
362C2×D4×C107—22no—
363C2×D4×C107—22no—
364C2×D4×C107—22no—
365C2×D4×C107—22no—
366C2×D4×C107—22no—
367C2×D4×C107—22no—
368C2×D4×C107—22no—
369C2×D4×C107—22no—
370C2×D4×C107—22no—
371C2×D4×C107—22no—
372C2×D4×C107—41no—
373C2×D4×C107—41no—
374C2×D4×C107—41no—
375C2×D4×C107—41no—
376C2×D4×C107—41no—
377C2×D4×C107—41no—
378C2×D4×C107#4114yes—
379C22×C4×C107—22no—
380C22×C4×C107—22no—
381C22×C4×C107—22no—
382C22×C4×C107—22no—
383C22×C4×C107—22no—
384C22×C4×C107—22no—
385C22×C4×C107—22no—
386C22×C4×C107—22no—
387C22×C4×C107—22no—
388C22×C4×C107—22no—
389C22×C4×C107—22no—
390C22×C4×C107—22no—
391C22×C4×C107—41no—
392C22×C4×C107—41no—
393C22×C4×C107—41no—
394C22×C4×C107—41no—
395C22×C4×C107—41no—
396C22×C4×C107—41no—
397C22×C4×C107—41no—
398C22×C4×C107—41no—
399C22×C4×C107—41no—
400C22×C4×C107—41no—
401C22×C4×C107—41no—
402C22×C4×C107—41no—
403C22×C4×C107—41no—
404C22×C4×C107—41no—
405C22×C4×C107—41no—
406C22×C4×C107—41no—
407C22×C4×C107—41no—
408C22×C4×C107—41no—
409C22×C4×C107—41no—
410C22×C4×C107—41no—
411C22×C4×C107—41no—
412C22×C4×C107—41no—
413C22×C4×C107#4114yes—
414C22×C4×C107#4114yes—
415C22×C4×C107C2411yescharacteristic
416C22×C4×C107C2411yescharacteristic
417C22×C4×C107C2411yescharacteristic
418C22×C4×C107C2411yescharacteristic
419C22×C4×C107C2411yescharacteristic
420C22×C4×C107C2411yescharacteristic
421C22×C4×C107C2411yescharacteristic
422C22×C4×C107C2411yescharacteristic
423C22×C4×C107C2411yescharacteristic
424C22×C4×C107C2411yescharacteristic
425C22×C4×C107C2411yescharacteristic
426C22×C4×C107C2411yescharacteristic
427C22×C4×C107C2411yescharacteristic
428C22×C4×C107C2411yescharacteristic
429C22×C4×C107C2411yescharacteristic
430C22×C4×C107C2411yescharacteristic
431C22×C4×C107C2411yescharacteristic
432C22×C4×C107C2411yescharacteristic
433C22×C4×C107C2411yescharacteristic
434C22×C4×C107C2411yescharacteristic
435C22×C4×C107C2411yescharacteristic
436C22×C4×C107C2411yescharacteristic
437C22×C4×C107C2411yescharacteristic
438C22×C4×C107C2411yescharacteristic
439C22×C4×C107C2411yescharacteristic
440C22×C4×C107C2411yescharacteristic
441C22×C4×C107C2411yescharacteristic
442C4⋊C4×C107—22no—
443C4⋊C4×C107—22no—
444C4⋊C4×C107—22no—
445C4⋊C4×C107—22no—
446C4⋊C4×C107—22no—
447C4⋊C4×C107—22no—
448C4⋊C4×C107—22no—
449C4⋊C4×C107—22no—
450C4⋊C4×C107—22no—
451C4⋊C4×C107—22no—
452C4⋊C4×C107—22no—
453C4⋊C4×C107—22no—
454C4⋊C4×C107—22no—
455C4⋊C4×C107—22no—
456C4⋊C4×C107—41no—
457C4⋊C4×C107—41no—
458C4⋊C4×C107—41no—
459C4⋊C4×C107—41no—
460C4⋊C4×C107—41no—
461C4⋊C4×C107—41no—
462C4⋊C4×C107—41no—
463C4⋊C4×C107—41no—
464C4⋊C4×C107—41no—
465C4⋊C4×C107—41no—
466C4⋊C4×C107—41no—
467C4⋊C4×C107—41no—
468C4⋊C4×C107—41no—
469C4⋊C4×C107—41no—
470C4⋊C4×C107—41no—
471C4⋊C4×C107—41no—
472C22⋊C4×C107—22no—
473C22⋊C4×C107—22no—
474C22⋊C4×C107—22no—
475C22⋊C4×C107—22no—
476C22⋊C4×C107—22no—
477C22⋊C4×C107—22no—
478C22⋊C4×C107—22no—
479C22⋊C4×C107—22no—
480C22⋊C4×C107—22no—
481C22⋊C4×C107—22no—
482C22⋊C4×C107—22no—
483C22⋊C4×C107—22no—
484C22⋊C4×C107—22no—
485C22⋊C4×C107—22no—
486C22⋊C4×C107—22no—
487C22⋊C4×C107—22no—
488C22⋊C4×C107—22no—
489C22⋊C4×C107—22no—
490C22⋊C4×C107—41no—
491C22⋊C4×C107—41no—
492C22⋊C4×C107—41no—
493C22⋊C4×C107—41no—
494C22⋊C4×C107—41no—
495C22⋊C4×C107—41no—
496C22⋊C4×C107—41no—
497C22⋊C4×C107—41no—
498C22⋊C4×C107—41no—
499C22⋊C4×C107—41no—
500C22⋊C4×C107—41no—
501C22⋊C4×C107—41no—
502C22⋊C4×C107—41no—
503C22⋊C4×C107—41no—
504C22⋊C4×C107—41no—
505C22⋊C4×C107—41no—
506C22⋊C4×C107—41no—
507C22⋊C4×C107—41no—
508C42×C107—22no—
509C42×C107—22no—
510C42×C107—22no—
511C42×C107—22no—
512C42×C107—22no—
513C42×C107—22no—
514C42×C107—22no—
515C42×C107—22no—
516C42×C107—41no—
517C42×C107—41no—
518C42×C107—41no—
519C42×C107—41no—
520C42×C107—41no—
521C42×C107—41no—
522C42×C107—41no—
523C23×C107—21no—
524C23×C107—21no—
525C23×C107—21no—
526C23×C107—21no—
527C23×C107—21no—
528C23×C107—21no—
529C23×C107—21no—
530C23×C107—21no—
531C23×C107—21no—
532C23×C107—21no—
533C23×C107—21no—
534C23×C107—21no—
535C23×C107—21no—
536C23×C107—21no—
537C23×C107—21no—
538C23×C107—21no—
539C23×C107—21no—
540C23×C107—21no—
541C23×C107—21no—
542C23×C107—21no—
543C23×C107—21no—
544C23×C107—21no—
545C23×C107—21no—
546C23×C107—21no—
547C23×C107C2×#4112yes—
548C23×C107C2×#4112yes—
549C23×C107C2×#4112yes—
550C23×C107C2×#4112yes—
551C23×C107C2511yescharacteristic
552D4×C107—28no—
553D4×C107—44no—
554D4×C107—44no—
555D4×C107—44no—
556D4×C107—82no—
557D4×C107—82no—
558C2×C4×C107—21no—
559C2×C4×C107—21no—
560C2×C4×C107—21no—
561C2×C4×C107—21no—
562C2×C4×C107—21no—
563C2×C4×C107—21no—
564C2×C4×C107—21no—
565C2×C4×C107—21no—
566C2×C4×C107—21no—
567C2×C4×C107—21no—
568C2×C4×C107—21no—
569C2×C4×C107—21no—
570C2×C4×C107—21no—
571C2×C4×C107—21no—
572C2×C4×C107—21no—
573C2×C4×C107—21no—
574C2×C4×C107—21no—
575C2×C4×C107—21no—
576C2×C4×C107—21no—
577C2×C4×C107—21no—
578C2×C4×C107—21no—
579C2×C4×C107—21no—
580C2×C4×C107—21no—
581C2×C4×C107—21no—
582C2×C4×C107—21no—
583C2×C4×C107—21no—
584C2×C4×C107—21no—
585C2×C4×C107—21no—
586C2×C4×C107—21no—
587C2×C4×C107—21no—
588C2×C4×C107—21no—
589C2×C4×C107—21no—
590C2×C4×C107—21no—
591C2×C4×C107—21no—
592C2×C4×C107—21no—
593C2×C4×C107—21no—
594C2×C4×C107—21no—
595C2×C4×C107—21no—
596C2×C4×C107—21no—
597C2×C4×C107—21no—
598C2×C4×C107—21no—
599C2×C4×C107—21no—
600C2×C4×C107—21no—
601C2×C4×C107—21no—
602C2×C4×C107—21no—
603C2×C4×C107—21no—
604C2×C4×C107—21no—
605C2×C4×C107—21no—
606C2×C4×C107—21no—
607C2×C4×C107—21no—
608C2×C4×C107—21no—
609C2×C4×C107—21no—
610C2×C4×C107—21no—
611C2×C4×C107—21no—
612C2×C4×C107—21no—
613C2×C4×C107—21no—
614C2×C4×C107—21no—
615C2×C4×C107—21no—
616C2×C4×C107—21no—
617C2×C4×C107—21no—
618C2×C4×C107—21no—
619C2×C4×C107—21no—
620C2×C4×C107—21no—
621C2×C4×C107—21no—
622C2×C4×C107—21no—
623C2×C4×C107—21no—
624C2×C4×C107—21no—
625C2×C4×C107—21no—
626C2×C4×C107—21no—
627C2×C4×C107—21no—
628C2×C4×C107—21no—
629C2×C4×C107—21no—
630C2×C4×C107—21no—
631C2×C4×C107—21no—
632C2×C4×C107—21no—
633C2×C4×C107—44no—
634C2×C4×C107—44no—
635C2×C4×C107—44no—
636C2×C4×C107—44no—
637C2×C4×C107—44no—
638C2×C4×C107—44no—
639C2×C4×C107—44no—
640C2×C4×C107—44no—
641C2×C4×C107—82no—
642C2×C4×C107—82no—
643C2×C4×C107—82no—
644C2×C4×C107—82no—
645C2×C4×C107C2×#4112yes—
646C2×C4×C107C2×#4112yes—
647C2×C4×C107C2×#4112yes—
648C2×C4×C107C2×#4112yes—
649C2×C4×C107C2×#4112yes—
650C2×C4×C107H(5,𝔽2)12yes—
651C22×C107—22no—
652C22×C107—22no—
653C22×C107—22no—
654C22×C107—22no—
655C22×C107—22no—
656C22×C107—22no—
657C22×C107—22no—
658C22×C107—22no—
659C22×C107—22no—
660C22×C107—41no—
661C22×C107—41no—
662C22×C107—41no—
663C22×C107—41no—
664C22×C107—41no—
665C22×C107—41no—
666C22×C107—41no—
667C22×C107—41no—
668C22×C107—41no—
669C22×C107—41no—
670C22×C107—41no—
671C22×C107—41no—
672C22×C107—41no—
673C22×C107—41no—
674C22×C107—41no—
675C22×C107—41no—
676C22×C107—41no—
677C22×C107—41no—
678C22×C107#52914yes—
679C22×C107C22×#4111yescharacteristic
680C22×C107C22×#4111yescharacteristic
681C22×C107C22×#4111yescharacteristic
682C22×C107C2×H(5,𝔽2)11yescharacteristic
683C22×C107#58511yescharacteristic
684C22×C107#58511yescharacteristic
685C22×C107#58511yescharacteristic
686C4×C107—22no—
687C4×C107—22no—
688C4×C107—22no—
689C4×C107—22no—
690C4×C107—22no—
691C4×C107—22no—
692C4×C107—41no—
693C4×C107—41no—
694C4×C107—41no—
695C4×C107—41no—
696C4×C107—41no—
697C4×C107—41no—
698C4×C107—41no—
699C4×C107—41no—
700C4×C107—41no—
701C4×C107—41no—
702C4×C107—41no—
703C4×C107—41no—
704C4×C107—41no—
705C4×C107—41no—
706C4×C107—41no—
707C4×C107—41no—
708C4×C107—41no—
709C4×C107—41no—
710C4×C107—41no—
711C4×C107—41no—
712C4×C107—41no—
713#35028C10711yesmaximal, characteristic, direct product factor, Sylow
714C2×C107—24no—
715C2×C107—42no—
716C2×C107—81no—
717C2×C107—81no—
718C2×C107C2×#52911yescharacteristic
719C2×C107#345511yescharacteristic
720C2×C107#345911yescharacteristic
721C2×C107#350511yescharacteristic
722C2×C107#351211yescharacteristic
723C2×C107#351311yescharacteristic
724C2×C107#352111yescharacteristic
725#2866C2×C10711yescharacteristic, complemented
726#2865C2×C10711yescharacteristic, complemented
727#2853C2×C10711yescharacteristic, complemented
728#2852C2×C10711yescharacteristic, complemented
729#2655C2×C10711yescharacteristic, complemented
730#2652C2×C10711yescharacteristic, complemented
731#2651C2×C10711yescharacteristic, complemented
732#2648C2×C10711yescharacteristic, complemented
733#2591C2×C10711yescharacteristic, complemented
734#2579C2×C10711yescharacteristic, complemented
735#2578C2×C10711yescharacteristic, complemented
736#2577C2×C10711yescharacteristic, complemented
737#2576C2×C10711yescharacteristic, complemented
738#2575C2×C10711yescharacteristic, complemented
739#2569C2×C10711yescharacteristic, complemented
740#2543C2×C10711yescharacteristic
741#2524C2×C10711yescharacteristic, complemented
742#2515C2×C10711yescharacteristic, complemented
743#2510C2×C10711yescharacteristic, complemented
744#2481C2×C10711yescharacteristic, complemented
745#2468C2×C10711yescharacteristic, complemented
746#2457C2×C10711yescharacteristic, complemented
747#2444C2×C10711yescharacteristic, complemented
748#2443C2×C10711yescharacteristic, complemented
749#2325C2×C10711yescharacteristic, complemented
750#2325C2×C10711yescharacteristic, complemented
751#2318C2×C10711yescharacteristic, complemented
752#2318C2×C10711yescharacteristic, complemented
753C4×#121C2×C10711yescharacteristic, complemented
754C2×#387C2×C10711yescharacteristic, complemented
755C42×D4C2×C10711yescharacteristic, complemented
756C107#3502811yescharacteristic, direct product factor, Sylow
757C2×#126C22×C10711yescharacteristic
758C2×#123C22×C10711yescharacteristic
759C2×#121C22×C10711yescharacteristic
760C2×#121C22×C10711yescharacteristic
761C2×#121C22×C10711yescharacteristic
762C2×C4×D4C22×C10711yescharacteristic
763C2×C4×D4C22×C10711yescharacteristic
764C2×C4×D4C22×C10711yescharacteristic
765C2×C4×D4C22×C10711yescharacteristic
766C2×C4×D4C22×C10711yescharacteristic
767C2×C4×D4C22×C10711yescharacteristic
768C22×C4⋊C4C22×C10711yescharacteristic
769C22×C4⋊C4C22×C10711yescharacteristic
770C22×C42C22×C10711yescharacteristic
771C22×C42C22×C10711yescharacteristic
772#401C22×C10711yescharacteristic
773#400C22×C10711yescharacteristic
774#400C22×C10711yescharacteristic
775#400C22×C10711yescharacteristic
776#400C22×C10711yescharacteristic
777#400C22×C10711yescharacteristic
778#400C22×C10711yescharacteristic
779#400C22×C10711yescharacteristic
780#400C22×C10711yescharacteristic
781#399C22×C10711yescharacteristic
782#398C22×C10711yescharacteristic
783#398C22×C10711yescharacteristic
784#398C22×C10711yescharacteristic
785#398C22×C10711yescharacteristic
786#398C22×C10711yescharacteristic
787#398C22×C10711yescharacteristic
788#397C22×C10711yescharacteristic
789#397C22×C10711yescharacteristic
790#397C22×C10711yescharacteristic
791#397C22×C10711yescharacteristic
792#397C22×C10711yescharacteristic
793#397C22×C10711yescharacteristic
794#397C22×C10711yescharacteristic
795#396C22×C10711yescharacteristic
796#396C22×C10711yescharacteristic
797#396C22×C10711yescharacteristic
798#394C22×C10711yescharacteristic
799#394C22×C10711yescharacteristic
800#394C22×C10711yescharacteristic
801#394C22×C10711yescharacteristic
802#394C22×C10711yescharacteristic
803#392C22×C10711yescharacteristic
804#390C22×C10711yescharacteristic
805#389C22×C10711yescharacteristic
806#388C22×C10711yescharacteristic
807#388C22×C10711yescharacteristic
808#388C22×C10711yescharacteristic
809#388C22×C10711yescharacteristic
810#388C22×C10711yescharacteristic
811#388C22×C10711yescharacteristic
812#388C22×C10711yescharacteristic
813#388C22×C10711yescharacteristic
814#388C22×C10711yescharacteristic
815#388C22×C10711yescharacteristic
816#388C22×C10711yescharacteristic
817#388C22×C10711yescharacteristic
818#388C22×C10711yescharacteristic
819#388C22×C10711yescharacteristic
820#388C22×C10711yescharacteristic
821#388C22×C10711yescharacteristic
822#388C22×C10711yescharacteristic
823#388C22×C10711yescharacteristic
824#388C22×C10711yescharacteristic
825#388C22×C10711yescharacteristic
826#388C22×C10711yescharacteristic
827#387C22×C10711yescharacteristic
828#387C22×C10711yescharacteristic
829#387C22×C10711yescharacteristic
830#387C22×C10711yescharacteristic
831#387C22×C10711yescharacteristic
832#387C22×C10711yescharacteristic
833#387C22×C10711yescharacteristic
834#387C22×C10711yescharacteristic
835#387C22×C10711yescharacteristic
836#387C22×C10711yescharacteristic
837#387C22×C10711yescharacteristic
838#387C22×C10711yescharacteristic
839#387C22×C10711yescharacteristic
840#387C22×C10711yescharacteristic
841#387C22×C10711yescharacteristic
842#387C22×C10711yescharacteristic
843#387C22×C10711yescharacteristic
844#387C22×C10711yescharacteristic
845#387C22×C10711yescharacteristic
846#387C22×C10711yescharacteristic
847#387C22×C10711yescharacteristic
848#387C22×C10711yescharacteristic
849#387C22×C10711yescharacteristic
850#387C22×C10711yescharacteristic
851#387C22×C10711yescharacteristic
852#387C22×C10711yescharacteristic
853#387C22×C10711yescharacteristic
854#386C22×C10711yescharacteristic
855#386C22×C10711yescharacteristic
856#386C22×C10711yescharacteristic
857#386C22×C10711yescharacteristic
858#386C22×C10711yescharacteristic
859#386C22×C10711yescharacteristic
860#386C22×C10711yescharacteristic
861#386C22×C10711yescharacteristic
862#386C22×C10711yescharacteristic
863#386C22×C10711yescharacteristic
864#386C22×C10711yescharacteristic
865#386C22×C10711yescharacteristic
866#386C22×C10711yescharacteristic
867#386C22×C10711yescharacteristic
868#386C22×C10711yescharacteristic
869#386C22×C10711yescharacteristic
870#386C22×C10711yescharacteristic
871#385C22×C10711yescharacteristic
872#385C22×C10711yescharacteristic
873#385C22×C10711yescharacteristic
874#385C22×C10711yescharacteristic
875#385C22×C10711yescharacteristic
876#385C22×C10711yescharacteristic
877#385C22×C10711yescharacteristic
878#385C22×C10711yescharacteristic
879#385C22×C10711yescharacteristic
880#385C22×C10711yescharacteristic
881#385C22×C10711yescharacteristic
882#383C22×C10711yescharacteristic
883#383C22×C10711yescharacteristic
884#383C22×C10711yescharacteristic
885#382C22×C10711yescharacteristic
886#382C22×C10711yescharacteristic
887#381C22×C10711yescharacteristic
888#381C22×C10711yescharacteristic
889#381C22×C10711yescharacteristic
890#380C22×C10711yescharacteristic
891#380C22×C10711yescharacteristic
892#380C22×C10711yescharacteristic
893#380C22×C10711yescharacteristic
894#380C22×C10711yescharacteristic
895C4×C4⋊C4C22×C10711yescharacteristic
896C4×C4⋊C4C22×C10711yescharacteristic
897C4×C4⋊C4C22×C10711yescharacteristic
898C4×C4⋊C4C22×C10711yescharacteristic
899C4×C22⋊C4C22×C10711yescharacteristic
900C4×C22⋊C4C22×C10711yescharacteristic
901C4×C22⋊C4C22×C10711yescharacteristic
902C4×C22⋊C4C22×C10711yescharacteristic
903C4×C22⋊C4C22×C10711yescharacteristic
904C4×C22⋊C4C22×C10711yescharacteristic
905C4×C22⋊C4C22×C10711yescharacteristic
906C4×C22⋊C4C22×C10711yescharacteristic
907C2×#95C22×C10711yescharacteristic
908C2×#95C22×C10711yescharacteristic
909C2×#95C22×C10711yescharacteristic
910C2×#95C22×C10711yescharacteristic
911C43C22×C10711yescharacteristic
912C22×D4C23×C10711yescharacteristic
913C22×D4C23×C10711yescharacteristic
914C22×D4C23×C10711yescharacteristic
915C22×D4C23×C10711yescharacteristic
916C22×D4C23×C10711yescharacteristic
917C22×D4C23×C10711yescharacteristic
918C23×C4C23×C10711yescharacteristic
919C23×C4C23×C10711yescharacteristic
920C23×C4C23×C10711yescharacteristic
921C23×C4C23×C10711yescharacteristic
922C23×C4C23×C10711yescharacteristic
923C23×C4C23×C10711yescharacteristic
924C23×C4C23×C10711yescharacteristic
925C23×C4C23×C10711yescharacteristic
926C23×C4C23×C10711yescharacteristic
927C23×C4C23×C10711yescharacteristic
928C23×C4C23×C10711yescharacteristic
929C23×C4C23×C10711yescharacteristic
930#126—42no—
931#123—42no—
932#121—24no—
933#121—24no—
934#121—24no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—42no—
941C2×C4⋊C4—24no—
942C2×C4⋊C4—42no—
943C2×C4⋊C4C23×C10711yescharacteristic
944C2×C4⋊C4C23×C10711yescharacteristic
945C2×C4⋊C4C23×C10711yescharacteristic
946C2×C4⋊C4C23×C10711yescharacteristic
947C2×C4⋊C4C23×C10711yescharacteristic
948C2×C4⋊C4C23×C10711yescharacteristic
949C2×C4⋊C4C23×C10711yescharacteristic
950C2×C4⋊C4C23×C10711yescharacteristic
951C2×C4⋊C4C23×C10711yescharacteristic
952C2×C4⋊C4C23×C10711yescharacteristic
953C2×C4⋊C4C23×C10711yescharacteristic
954C2×C4⋊C4C23×C10711yescharacteristic
955C2×C4⋊C4C23×C10711yescharacteristic
956C2×C4⋊C4C23×C10711yescharacteristic
957C2×C4⋊C4C23×C10711yescharacteristic
958C2×C4⋊C4C23×C10711yescharacteristic
959C2×C4⋊C4C23×C10711yescharacteristic
960C2×C4⋊C4C23×C10711yescharacteristic
961C2×C4⋊C4C23×C10711yescharacteristic
962C2×C4⋊C4C23×C10711yescharacteristic
963C2×C4⋊C4C23×C10711yescharacteristic
964C2×C4⋊C4C23×C10711yescharacteristic
965C2×C4⋊C4C23×C10711yescharacteristic
966C2×C4⋊C4C23×C10711yescharacteristic
967C2×C4⋊C4C23×C10711yescharacteristic
968C2×C4⋊C4C23×C10711yescharacteristic
969C2×C4⋊C4C23×C10711yescharacteristic
970C2×C4⋊C4C23×C10711yescharacteristic
971C2×C4⋊C4C23×C10711yescharacteristic
972C2×C4⋊C4C23×C10711yescharacteristic
973C2×C22⋊C4C23×C10711yescharacteristic
974C2×C22⋊C4C23×C10711yescharacteristic
975C2×C22⋊C4C23×C10711yescharacteristic
976C2×C22⋊C4C23×C10711yescharacteristic
977C2×C22⋊C4C23×C10711yescharacteristic
978C2×C22⋊C4C23×C10711yescharacteristic
979C2×C22⋊C4C23×C10711yescharacteristic
980C2×C22⋊C4C23×C10711yescharacteristic
981C2×C22⋊C4C23×C10711yescharacteristic
982C2×C22⋊C4C23×C10711yescharacteristic
983C2×C22⋊C4C23×C10711yescharacteristic
984C2×C22⋊C4C23×C10711yescharacteristic
985C2×C22⋊C4C23×C10711yescharacteristic
986C2×C22⋊C4C23×C10711yescharacteristic
987C2×C22⋊C4C23×C10711yescharacteristic
988C2×C22⋊C4C23×C10711yescharacteristic
989C2×C22⋊C4C23×C10711yescharacteristic
990C2×C22⋊C4C23×C10711yescharacteristic
991C2×C22⋊C4C23×C10711yescharacteristic
992C2×C22⋊C4C23×C10711yescharacteristic
993C2×C22⋊C4C23×C10711yescharacteristic
994C2×C22⋊C4C23×C10711yescharacteristic
995C2×C22⋊C4C23×C10711yescharacteristic
996C2×C22⋊C4C23×C10711yescharacteristic
997C2×C22⋊C4C23×C10711yescharacteristic
998C2×C22⋊C4C23×C10711yescharacteristic
999C2×C22⋊C4C23×C10711yescharacteristic
1000C2×C22⋊C4C23×C10711yescharacteristic
1001C2×C22⋊C4C23×C10711yescharacteristic
1002C2×C22⋊C4C23×C10711yescharacteristic
1003C2×C22⋊C4C23×C10711yescharacteristic
1004C2×C22⋊C4C23×C10711yescharacteristic
1005C2×C22⋊C4C23×C10711yescharacteristic
1006C2×C22⋊C4C23×C10711yescharacteristic
1007C2×C22⋊C4C23×C10711yescharacteristic
1008C2×C22⋊C4C23×C10711yescharacteristic
1009C2×C42—42no—
1010C2×C42—42no—
1011C2×C42C23×C10711yescharacteristic
1012C2×C42C23×C10711yescharacteristic
1013C2×C42C23×C10711yescharacteristic
1014C2×C42C23×C10711yescharacteristic
1015C2×C42C23×C10711yescharacteristic
1016C2×C42C23×C10711yescharacteristic
1017C2×C42C23×C10711yescharacteristic
1018C2×C42C23×C10711yescharacteristic
1019C2×C42C23×C10711yescharacteristic
1020C2×C42C23×C10711yescharacteristic
1021C2×C42C23×C10711yescharacteristic
1022C2×C42C23×C10711yescharacteristic
1023C2×C42C23×C10711yescharacteristic
1024C2×C42C23×C10711yescharacteristic
1025C2×C42C23×C10711yescharacteristic
1026#95C23×C10711yescharacteristic
1027#95C23×C10711yescharacteristic
1028#95C23×C10711yescharacteristic
1029#95C23×C10711yescharacteristic
1030#95C23×C10711yescharacteristic
1031#95C23×C10711yescharacteristic
1032#95C23×C10711yescharacteristic
1033#95C23×C10711yescharacteristic
1034#95C23×C10711yescharacteristic
1035#95C23×C10711yescharacteristic
1036#95C23×C10711yescharacteristic
1037#95C23×C10711yescharacteristic
1038#95C23×C10711yescharacteristic
1039#95C23×C10711yescharacteristic
1040#95C23×C10711yescharacteristic
1041#95C23×C10711yescharacteristic
1042#95C23×C10711yescharacteristic
1043#95C23×C10711yescharacteristic
1044#95C23×C10711yescharacteristic
1045#95C23×C10711yescharacteristic
1046#95C23×C10711yescharacteristic
1047#95C23×C10711yescharacteristic
1048#95C23×C10711yescharacteristic
1049#95C23×C10711yescharacteristic
1050#95C23×C10711yescharacteristic
1051#95C23×C10711yescharacteristic
1052#95C23×C10711yescharacteristic
1053#95C23×C10711yescharacteristic
1054#95C23×C10711yescharacteristic
1055#95C23×C10711yescharacteristic
1056#95C23×C10711yescharacteristic
1057#95C23×C10711yescharacteristic
1058#95C23×C10711yescharacteristic
1059#95C23×C10711yescharacteristic
1060#95C23×C10711yescharacteristic
1061#95C23×C10711yescharacteristic
1062#95C23×C10711yescharacteristic
1063#95C23×C10711yescharacteristic
1064#95C23×C10711yescharacteristic
1065#95C23×C10711yescharacteristic
1066#95C23×C10711yescharacteristic
1067#95C23×C10711yescharacteristic
1068#95C23×C10711yescharacteristic
1069#95C23×C10711yescharacteristic
1070#95C23×C10711yescharacteristic
1071#95C23×C10711yescharacteristic
1072#95C23×C10711yescharacteristic
1073#95C23×C10711yescharacteristic
1074#95C23×C10711yescharacteristic
1075#95C23×C10711yescharacteristic
1076#95C23×C10711yescharacteristic
1077#95C23×C10711yescharacteristic
1078#95C23×C10711yescharacteristic
1079#95C23×C10711yescharacteristic
1080#95C23×C10711yescharacteristic
1081#95C23×C10711yescharacteristic
1082C24C24×C10711yescharacteristic
1083C24C24×C10711yescharacteristic
1084C24C24×C10711yescharacteristic
1085C24C24×C10711yescharacteristic
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—22no—
1089C2×D4—22no—
1090C2×D4—22no—
1091C2×D4—22no—
1092C2×D4—22no—
1093C2×D4—22no—
1094C2×D4—22no—
1095C2×D4—22no—
1096C2×D4—22no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4#41×C10714yes—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4#41×C10714yes—
1139C22×C4#41×C10714yes—
1140C22×C4C24×C10711yescharacteristic
1141C22×C4C24×C10711yescharacteristic
1142C22×C4C24×C10711yescharacteristic
1143C22×C4C24×C10711yescharacteristic
1144C22×C4C24×C10711yescharacteristic
1145C22×C4C24×C10711yescharacteristic
1146C22×C4C24×C10711yescharacteristic
1147C22×C4C24×C10711yescharacteristic
1148C22×C4C24×C10711yescharacteristic
1149C22×C4C24×C10711yescharacteristic
1150C22×C4C24×C10711yescharacteristic
1151C22×C4C24×C10711yescharacteristic
1152C22×C4C24×C10711yescharacteristic
1153C22×C4C24×C10711yescharacteristic
1154C22×C4C24×C10711yescharacteristic
1155C22×C4C24×C10711yescharacteristic
1156C22×C4C24×C10711yescharacteristic
1157C22×C4C24×C10711yescharacteristic
1158C22×C4C24×C10711yescharacteristic
1159C22×C4C24×C10711yescharacteristic
1160C22×C4C24×C10711yescharacteristic
1161C22×C4C24×C10711yescharacteristic
1162C22×C4C24×C10711yescharacteristic
1163C22×C4C24×C10711yescharacteristic
1164C22×C4C24×C10711yescharacteristic
1165C22×C4C24×C10711yescharacteristic
1166C22×C4C24×C10711yescharacteristic
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—22no—
1174C4⋊C4—22no—
1175C4⋊C4—22no—
1176C4⋊C4—22no—
1177C4⋊C4—22no—
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—22no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C42—22no—
1234C42—22no—
1235C42—22no—
1236C42—22no—
1237C42—22no—
1238C42—22no—
1239C42—22no—
1240C42—22no—
1241C42—41no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23C2×#41×C10712yes—
1273C23C2×#41×C10712yes—
1274C23C2×#41×C10712yes—
1275C23C2×#41×C10712yes—
1276C23C25×C10711yescharacteristic
1277D4—28no—
1278D4—44no—
1279D4—44no—
1280D4—44no—
1281D4—82no—
1282D4—82no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—44no—
1359C2×C4—44no—
1360C2×C4—44no—
1361C2×C4—44no—
1362C2×C4—44no—
1363C2×C4—44no—
1364C2×C4—44no—
1365C2×C4—44no—
1366C2×C4—82no—
1367C2×C4—82no—
1368C2×C4—82no—
1369C2×C4—82no—
1370C2×C4C2×#41×C10712yes—
1371C2×C4C2×#41×C10712yes—
1372C2×C4C2×#41×C10712yes—
1373C2×C4C2×#41×C10712yes—
1374C2×C4C2×#41×C10712yes—
1375C2×C4H(5,𝔽2)×C10712yes—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—22no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22#529×C10714yes—
1404C22C22×#41×C10711yescharacteristic
1405C22C22×#41×C10711yescharacteristic
1406C22C22×#41×C10711yescharacteristic
1407C22C2×H(5,𝔽2)×C10711yescharacteristic
1408C22#585×C10711yescharacteristic
1409C22#585×C10711yescharacteristic
1410C22#585×C10711yescharacteristic
1411C4—22no—
1412C4—22no—
1413C4—22no—
1414C4—22no—
1415C4—22no—
1416C4—22no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C2—24no—
1439C2—42no—
1440C2—81no—
1441C2—81no—
1442C2C2×#529×C10711yescharacteristic
1443C2C107×#345511yescharacteristic
1444C2C107×#345911yescharacteristic
1445C2C107×#350511yescharacteristic
1446C2C107×#351211yescharacteristic
1447C2C107×#351311yescharacteristic
1448C2C107×#352111yescharacteristic
subgroupG/H
center, socleC23×C107C25
commutator, Frattini, cosocleC23C25×C107
prime radicalC107×#2543C2
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×#2865C2semidirect
3. C107×#2853C2semidirect
4. C107×#2852C2semidirect
5. C107×#2655C2semidirect
6. C107×#2652C2semidirect
7. C107×#2651C2semidirect
8. C107×#2648C2semidirect
9. C107×#2591C2semidirect
10. C107×#2579C2semidirect
11. C107×#2578C2semidirect
12. C107×#2577C2semidirect
13. C107×#2576C2semidirect
14. C107×#2575C2semidirect
15. C107×#2569C2semidirect
17. C107×#2524C2semidirect
18. C107×#2515C2semidirect
19. C107×#2510C2semidirect
20. C107×#2481C2semidirect
21. C107×#2468C2semidirect
22. C107×#2457C2semidirect
23. C107×#2444C2semidirect
24. C107×#2443C2semidirect
25. C107×#2325C2semidirect
26. C107×#2325C2semidirect
27. C107×#2318C2semidirect
28. C107×#2318C2semidirect
29. C4×#121×C107C2semidirect
30. C2×#387×C107C2semidirect
31. C42×D4×C107C2semidirect
713. #35028C107direct (N × H)
725. #2866C2×C107semidirect
726. #2865C2×C107semidirect
727. #2853C2×C107semidirect
728. #2852C2×C107semidirect
729. #2655C2×C107semidirect
730. #2652C2×C107semidirect
731. #2651C2×C107semidirect
732. #2648C2×C107semidirect
733. #2591C2×C107semidirect
734. #2579C2×C107semidirect
735. #2578C2×C107semidirect
736. #2577C2×C107semidirect
737. #2576C2×C107semidirect
738. #2575C2×C107semidirect
739. #2569C2×C107semidirect
741. #2524C2×C107semidirect
742. #2515C2×C107semidirect
743. #2510C2×C107semidirect
744. #2481C2×C107semidirect
745. #2468C2×C107semidirect
746. #2457C2×C107semidirect
747. #2444C2×C107semidirect
748. #2443C2×C107semidirect
749. #2325C2×C107semidirect
750. #2325C2×C107semidirect
751. #2318C2×C107semidirect
752. #2318C2×C107semidirect
753. C4×#121C2×C107semidirect
754. C2×#387C2×C107semidirect
755. C42×D4C2×C107semidirect
756. C107#35028direct (N × H)

Maximal subgroups

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

subgroupindex
C107×#28662
C107×#28652
C107×#28532
C107×#28522
C107×#26552
C107×#26522
C107×#26512
C107×#26482
C107×#25912
C107×#25792
C107×#25782
C107×#25772
C107×#25762
C107×#25752
C107×#25692
C107×#25432
C107×#25242
C107×#25152
C107×#25102
C107×#24812
C107×#24682
C107×#24572
C107×#24442
C107×#24432
C107×#23252
C107×#23182
C4×#121×C1072
C2×#387×C1072
C42×D4×C1072
#35028107