Finite Group Databasebeta

← C103×#34282 #39939557

Subgroups — C103×#34282 #39939557

Order 26368.

2306 conjugacy classes of subgroups.

The subgroup lattice has 1464 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#539×C103C211yesmaximal, characteristic
2C103×#2374C211yesmaximal, characteristic, complemented
3C103×#2373C211yesmaximal, characteristic, complemented
4C103×#2373C211yesmaximal, characteristic, complemented
5C103×#2371C211yesmaximal, characteristic, complemented
6C103×#2370C211yesmaximal, characteristic, complemented
7C103×#2368C211yesmaximal, characteristic, complemented
8C103×#2368C211yesmaximal, characteristic, complemented
9C103×#2364C211yesmaximal, characteristic
10C103×#2362C211yesmaximal, characteristic, complemented
11C103×#2361C211yesmaximal, characteristic
12C103×#2360C211yesmaximal, characteristic, complemented
13C103×#2359C211yesmaximal, characteristic, complemented
14C103×#2359C211yesmaximal, characteristic, complemented
15C103×#2359C211yesmaximal, characteristic, complemented
16C103×#2359C211yesmaximal, characteristic, complemented
17C103×#2359C211yesmaximal, characteristic, complemented
18C103×#2336C211yesmaximal, characteristic, complemented
19C103×#2335C211yesmaximal, characteristic, complemented
20C103×#2334C211yesmaximal, characteristic, complemented
21C103×#2332C211yesmaximal, characteristic, complemented
22C103×#2318C211yesmaximal, characteristic, complemented
23C4×#125×C103C211yesmaximal, characteristic, complemented
24C4×#126×C103C211yesmaximal, characteristic, complemented
25C4×C22⋊Q8×C103C211yesmaximal, characteristic, complemented
26C4×#123×C103C211yesmaximal, characteristic, complemented
27C103×#2290C211yesmaximal, characteristic, complemented
28C2×#387×C103C211yesmaximal, characteristic, complemented
29C103×#2275C211yesmaximal, characteristic, complemented
30C103×#2274C211yesmaximal, characteristic, complemented
31C42×D4×C103C211yesmaximal, characteristic, complemented
32#539×C103C4116yescomplemented
33C2×#126×C103C2211yescharacteristic
34C2×#126×C103C2211yescharacteristic
35C2×#125×C103C2211yescharacteristic
36C2×#125×C103C2211yescharacteristic
37C2×#123×C103C2211yescharacteristic
38C2×#123×C103C2211yescharacteristic
39C2×#123×C103C2211yescharacteristic
40C2×#123×C103C2211yescharacteristic
41C2×C22⋊Q8×C103C2211yescharacteristic
42C2×C22⋊Q8×C103C2211yescharacteristic
43C2×C22⋊Q8×C103C2211yescharacteristic
44C2×#121×C103C2211yescharacteristic
45C2×C4×Q8×C103C2211yescharacteristic
46C2×C4×D4×C103C2211yescharacteristic
47C2×C4×D4×C103C2211yescharacteristic
48C2×C4×D4×C103C2211yescharacteristic
49C2×C4×D4×C103C2211yescharacteristic
50C2×C4×D4×C103C2211yescharacteristic
51C2×C4×D4×C103C2211yescharacteristic
52C2×C4×D4×C103C2211yescharacteristic
53C2×#117×C103C2211yescharacteristic
54C2×#117×C103C2211yescharacteristic
55C2×#117×C103C2211yescharacteristic
56C22×C4⋊C4×C103C2211yescharacteristic
57C22×C4⋊C4×C103C2211yescharacteristic
58C22×C42×C103C2211yescharacteristic
59C22×C42×C103C2211yescharacteristic
60#391×C103C2211yescharacteristic
61#391×C103C2211yescharacteristic
62#391×C103C2211yescharacteristic
63#390×C103C2211yescharacteristic
64#389×C103C2211yescharacteristic
65#389×C103C2211yescharacteristic
66#389×C103C2211yescharacteristic
67#389×C103C2211yescharacteristic
68#389×C103C2211yescharacteristic
69#389×C103C2211yescharacteristic
70#389×C103C2211yescharacteristic
71#389×C103C2211yescharacteristic
72#388×C103C2211yescharacteristic
73#388×C103C2211yescharacteristic
74#388×C103C2211yescharacteristic
75#388×C103C2211yescharacteristic
76#388×C103C2211yescharacteristic
77#388×C103C2211yescharacteristic
78#388×C103C2211yescharacteristic
79#388×C103C2211yescharacteristic
80#388×C103C2211yescharacteristic
81#388×C103C2211yescharacteristic
82#388×C103C2211yescharacteristic
83#388×C103C2211yescharacteristic
84#388×C103C2211yescharacteristic
85#388×C103C2211yescharacteristic
86#388×C103C2211yescharacteristic
87#388×C103C2211yescharacteristic
88#387×C103C2211yescharacteristic
89#387×C103C2211yescharacteristic
90#387×C103C2211yescharacteristic
91#387×C103C2211yescharacteristic
92#387×C103C2211yescharacteristic
93#387×C103C2211yescharacteristic
94#387×C103C2211yescharacteristic
95#387×C103C2211yescharacteristic
96#387×C103C2211yescharacteristic
97#387×C103C2211yescharacteristic
98#387×C103C2211yescharacteristic
99#387×C103C2211yescharacteristic
100#387×C103C2211yescharacteristic
101#387×C103C2211yescharacteristic
102#387×C103C2211yescharacteristic
103#387×C103C2211yescharacteristic
104#387×C103C2211yescharacteristic
105#387×C103C2211yescharacteristic
106#387×C103C2211yescharacteristic
107#387×C103C2211yescharacteristic
108#387×C103C2211yescharacteristic
109#387×C103C2211yescharacteristic
110#387×C103C2211yescharacteristic
111#387×C103C2211yescharacteristic
112#387×C103C2211yescharacteristic
113#387×C103C2211yescharacteristic
114#387×C103C2211yescharacteristic
115#387×C103C2211yescharacteristic
116#386×C103C2211yescharacteristic
117#386×C103C2211yescharacteristic
118#386×C103C2211yescharacteristic
119#386×C103C2211yescharacteristic
120#386×C103C2211yescharacteristic
121#386×C103C2211yescharacteristic
122#385×C103C2211yescharacteristic
123#385×C103C2211yescharacteristic
124#385×C103C2211yescharacteristic
125#385×C103C2211yescharacteristic
126#385×C103C2211yescharacteristic
127#385×C103C2211yescharacteristic
128#385×C103C2211yescharacteristic
129#385×C103C2211yescharacteristic
130#385×C103C2211yescharacteristic
131#385×C103C2211yescharacteristic
132#383×C103C2211yescharacteristic
133#382×C103C2211yescharacteristic
134#381×C103C2211yescharacteristic
135#380×C103C2211yescharacteristic
136C4×C4⋊C4×C103C2211yescharacteristic
137C4×C4⋊C4×C103C2211yescharacteristic
138C4×C4⋊C4×C103C2211yescharacteristic
139C4×C4⋊C4×C103C2211yescharacteristic
140C4×C4⋊C4×C103C2211yescharacteristic
141C4×C4⋊C4×C103C2211yescharacteristic
142C4×C4⋊C4×C103C2211yescharacteristic
143C4×C4⋊C4×C103C2211yescharacteristic
144C4×C4⋊C4×C103C2211yescharacteristic
145C4×C4⋊C4×C103C2211yescharacteristic
146C4×C4⋊C4×C103C2211yescharacteristic
147C4×C4⋊C4×C103C2211yescharacteristic
148C4×C4⋊C4×C103C2211yescharacteristic
149C4×C4⋊C4×C103C2211yescharacteristic
150C4×C4⋊C4×C103C2211yescharacteristic
151C4×C4⋊C4×C103C2211yescharacteristic
152C4×C4⋊C4×C103C2211yescharacteristic
153C4×C4⋊C4×C103C2211yescharacteristic
154C4×C4⋊C4×C103C2211yescharacteristic
155C4×C4⋊C4×C103C2211yescharacteristic
156C4×C4⋊C4×C103C2211yescharacteristic
157C4×C4⋊C4×C103C2211yescharacteristic
158C4×C4⋊C4×C103C2211yescharacteristic
159C4×C22⋊C4×C103C2211yescharacteristic
160C4×C22⋊C4×C103C2211yescharacteristic
161C4×C22⋊C4×C103C2211yescharacteristic
162C4×C22⋊C4×C103C2211yescharacteristic
163C4×C22⋊C4×C103C2211yescharacteristic
164C4×C22⋊C4×C103C2211yescharacteristic
165C4×C22⋊C4×C103C2211yescharacteristic
166C4×C22⋊C4×C103C2211yescharacteristic
167C4×C22⋊C4×C103C2211yescharacteristic
168C4×C22⋊C4×C103C2211yescharacteristic
169C4×C22⋊C4×C103C2211yescharacteristic
170C4×C22⋊C4×C103C2211yescharacteristic
171C4×C22⋊C4×C103C2211yescharacteristic
172C4×C22⋊C4×C103C2211yescharacteristic
173C4×C22⋊C4×C103C2211yescharacteristic
174C4×C22⋊C4×C103C2211yescharacteristic
175C4×C22⋊C4×C103C2211yescharacteristic
176C4×C22⋊C4×C103C2211yescharacteristic
177C4×C22⋊C4×C103C2211yescharacteristic
178C4×C22⋊C4×C103C2211yescharacteristic
179C4×C22⋊C4×C103C2211yescharacteristic
180#376×C103C2211yescharacteristic
181#376×C103C2211yescharacteristic
182C2×#95×C103C2211yescharacteristic
183C2×#95×C103C2211yescharacteristic
184C2×#95×C103C2211yescharacteristic
185C2×#95×C103C2211yescharacteristic
186C2×#95×C103C2211yescharacteristic
187C43×C103C2211yescharacteristic
188C22×Q8×C103C2311yescharacteristic
189C22×D4×C103C2311yescharacteristic
190C22×D4×C103C2311yescharacteristic
191C22×D4×C103C2311yescharacteristic
192C23×C4×C103C2311yescharacteristic
193C23×C4×C103C2311yescharacteristic
194C23×C4×C103C2311yescharacteristic
195C23×C4×C103C2311yescharacteristic
196C23×C4×C103C2311yescharacteristic
197C23×C4×C103C2311yescharacteristic
198C23×C4×C103C2311yescharacteristic
199C23×C4×C103C2311yescharacteristic
200C23×C4×C103C2311yescharacteristic
201C23×C4×C103C2311yescharacteristic
202C23×C4×C103C2311yescharacteristic
203C23×C4×C103C2311yescharacteristic
204C23×C4×C103C2311yescharacteristic
205#126×C103C2×C418yescomplemented
206#126×C103C2×C418yescomplemented
207#125×C103C2×C418yescomplemented
208#125×C103C2×C418yescomplemented
209#123×C103C2×C418yescomplemented
210#123×C103C2×C418yescomplemented
211#123×C103C2×C418yescomplemented
212#123×C103C2×C418yescomplemented
213C22⋊Q8×C103C2×C418yescomplemented
214C22⋊Q8×C103C2×C418yescomplemented
215C22⋊Q8×C103C2×C418yescomplemented
216#121×C103C2×C418yes—
217C4×Q8×C103—42no—
218C4×D4×C103—24no—
219C4×D4×C103—24no—
220C4×D4×C103—24no—
221C4×D4×C103—24no—
222C4×D4×C103—42no—
223C4×D4×C103C2×C418yescomplemented
224C4×D4×C103C2×C418yescomplemented
225#117×C103—24no—
226#117×C103—24no—
227#117×C103—42no—
228C2×C4⋊C4×C103—42no—
229C2×C4⋊C4×C103C2×C418yescomplemented
230C2×C4⋊C4×C103C2311yescharacteristic
231C2×C4⋊C4×C103C2311yescharacteristic
232C2×C4⋊C4×C103C2311yescharacteristic
233C2×C4⋊C4×C103C2311yescharacteristic
234C2×C4⋊C4×C103C2311yescharacteristic
235C2×C4⋊C4×C103C2311yescharacteristic
236C2×C4⋊C4×C103C2311yescharacteristic
237C2×C4⋊C4×C103C2311yescharacteristic
238C2×C4⋊C4×C103C2311yescharacteristic
239C2×C4⋊C4×C103C2311yescharacteristic
240C2×C4⋊C4×C103C2311yescharacteristic
241C2×C4⋊C4×C103C2311yescharacteristic
242C2×C4⋊C4×C103C2311yescharacteristic
243C2×C4⋊C4×C103C2311yescharacteristic
244C2×C4⋊C4×C103C2311yescharacteristic
245C2×C4⋊C4×C103C2311yescharacteristic
246C2×C4⋊C4×C103C2311yescharacteristic
247C2×C4⋊C4×C103C2311yescharacteristic
248C2×C4⋊C4×C103C2311yescharacteristic
249C2×C4⋊C4×C103C2311yescharacteristic
250C2×C4⋊C4×C103C2311yescharacteristic
251C2×C4⋊C4×C103C2311yescharacteristic
252C2×C4⋊C4×C103C2311yescharacteristic
253C2×C4⋊C4×C103C2311yescharacteristic
254C2×C4⋊C4×C103C2311yescharacteristic
255C2×C4⋊C4×C103C2311yescharacteristic
256C2×C4⋊C4×C103C2311yescharacteristic
257C2×C4⋊C4×C103C2311yescharacteristic
258C2×C4⋊C4×C103C2311yescharacteristic
259C2×C4⋊C4×C103C2311yescharacteristic
260C2×C4⋊C4×C103C2311yescharacteristic
261C2×C4⋊C4×C103C2311yescharacteristic
262C2×C4⋊C4×C103C2311yescharacteristic
263C2×C4⋊C4×C103C2311yescharacteristic
264C2×C22⋊C4×C103C2311yescharacteristic
265C2×C22⋊C4×C103C2311yescharacteristic
266C2×C22⋊C4×C103C2311yescharacteristic
267C2×C22⋊C4×C103C2311yescharacteristic
268C2×C22⋊C4×C103C2311yescharacteristic
269C2×C22⋊C4×C103C2311yescharacteristic
270C2×C22⋊C4×C103C2311yescharacteristic
271C2×C22⋊C4×C103C2311yescharacteristic
272C2×C22⋊C4×C103C2311yescharacteristic
273C2×C22⋊C4×C103C2311yescharacteristic
274C2×C22⋊C4×C103C2311yescharacteristic
275C2×C22⋊C4×C103C2311yescharacteristic
276C2×C22⋊C4×C103C2311yescharacteristic
277C2×C22⋊C4×C103C2311yescharacteristic
278C2×C22⋊C4×C103C2311yescharacteristic
279C2×C22⋊C4×C103C2311yescharacteristic
280C2×C22⋊C4×C103C2311yescharacteristic
281C2×C22⋊C4×C103C2311yescharacteristic
282C2×C22⋊C4×C103C2311yescharacteristic
283C2×C22⋊C4×C103C2311yescharacteristic
284C2×C22⋊C4×C103C2311yescharacteristic
285C2×C22⋊C4×C103C2311yescharacteristic
286C2×C22⋊C4×C103C2311yescharacteristic
287C2×C22⋊C4×C103C2311yescharacteristic
288C2×C22⋊C4×C103C2311yescharacteristic
289C2×C22⋊C4×C103C2311yescharacteristic
290C2×C42×C103—42no—
291C2×C42×C103—42no—
292C2×C42×C103C2311yescharacteristic
293C2×C42×C103C2311yescharacteristic
294C2×C42×C103C2311yescharacteristic
295C2×C42×C103C2311yescharacteristic
296C2×C42×C103C2311yescharacteristic
297C2×C42×C103C2311yescharacteristic
298C2×C42×C103C2311yescharacteristic
299C2×C42×C103C2311yescharacteristic
300C2×C42×C103C2311yescharacteristic
301C2×C42×C103C2311yescharacteristic
302C2×C42×C103C2311yescharacteristic
303C2×C42×C103C2311yescharacteristic
304C2×C42×C103C2311yescharacteristic
305C2×C42×C103C2311yescharacteristic
306C2×C42×C103C2311yescharacteristic
307C2×C42×C103C2311yescharacteristic
308C2×C42×C103C2311yescharacteristic
309C2×C42×C103C2311yescharacteristic
310C2×C42×C103C2311yescharacteristic
311C2×C42×C103C2311yescharacteristic
312C2×C42×C103C2311yescharacteristic
313C2×C42×C103C2311yescharacteristic
314C2×C42×C103C2311yescharacteristic
315C2×C42×C103C2311yescharacteristic
316C2×C42×C103C2311yescharacteristic
317C2×C42×C103C2311yescharacteristic
318C2×C42×C103C2311yescharacteristic
319C2×C42×C103C2311yescharacteristic
320C2×C42×C103C2311yescharacteristic
321C2×C42×C103C2311yescharacteristic
322#95×C103C2311yescharacteristic
323#95×C103C2311yescharacteristic
324#95×C103C2311yescharacteristic
325#95×C103C2311yescharacteristic
326#95×C103C2311yescharacteristic
327#95×C103C2311yescharacteristic
328#95×C103C2311yescharacteristic
329#95×C103C2311yescharacteristic
330#95×C103C2311yescharacteristic
331#95×C103C2311yescharacteristic
332#95×C103C2311yescharacteristic
333#95×C103C2311yescharacteristic
334#95×C103C2311yescharacteristic
335#95×C103C2311yescharacteristic
336#95×C103C2311yescharacteristic
337#95×C103C2311yescharacteristic
338#95×C103C2311yescharacteristic
339#95×C103C2311yescharacteristic
340#95×C103C2311yescharacteristic
341#95×C103C2311yescharacteristic
342#95×C103C2311yescharacteristic
343#95×C103C2311yescharacteristic
344#95×C103C2311yescharacteristic
345#95×C103C2311yescharacteristic
346#95×C103C2311yescharacteristic
347#95×C103C2311yescharacteristic
348#95×C103C2311yescharacteristic
349#95×C103C2311yescharacteristic
350#95×C103C2311yescharacteristic
351#95×C103C2311yescharacteristic
352#95×C103C2311yescharacteristic
353#95×C103C2311yescharacteristic
354#95×C103C2311yescharacteristic
355#95×C103C2311yescharacteristic
356#95×C103C2311yescharacteristic
357#95×C103C2311yescharacteristic
358#95×C103C2311yescharacteristic
359#95×C103C2311yescharacteristic
360#95×C103C2311yescharacteristic
361#95×C103C2311yescharacteristic
362#95×C103C2311yescharacteristic
363#95×C103C2311yescharacteristic
364#95×C103C2311yescharacteristic
365#95×C103C2311yescharacteristic
366#95×C103C2311yescharacteristic
367#95×C103C2311yescharacteristic
368#95×C103C2311yescharacteristic
369#95×C103C2311yescharacteristic
370C24×C103C2411yescharacteristic
371C24×C103C2411yescharacteristic
372C24×C103C2411yescharacteristic
373C2×Q8×C103—41no—
374C2×Q8×C103—41no—
375C2×Q8×C103C22×C414yes—
376C2×D4×C103—22no—
377C2×D4×C103—22no—
378C2×D4×C103—22no—
379C2×D4×C103—22no—
380C2×D4×C103—41no—
381C2×D4×C103—41no—
382C2×D4×C103C22×C414yes—
383C2×D4×C103C22×C414yes—
384C2×D4×C103C22×C414yes—
385C22×C4×C103—22no—
386C22×C4×C103—22no—
387C22×C4×C103—22no—
388C22×C4×C103—22no—
389C22×C4×C103—22no—
390C22×C4×C103—22no—
391C22×C4×C103—22no—
392C22×C4×C103—22no—
393C22×C4×C103—22no—
394C22×C4×C103—22no—
395C22×C4×C103—22no—
396C22×C4×C103—22no—
397C22×C4×C103—22no—
398C22×C4×C103—22no—
399C22×C4×C103—41no—
400C22×C4×C103—41no—
401C22×C4×C103—41no—
402C22×C4×C103—41no—
403C22×C4×C103—41no—
404C22×C4×C103—41no—
405C22×C4×C103—41no—
406C22×C4×C103—41no—
407C22×C4×C103—41no—
408C22×C4×C103—41no—
409C22×C4×C103—41no—
410C22×C4×C103—41no—
411C22×C4×C103—41no—
412C22×C4×C103—41no—
413C22×C4×C103—41no—
414C22×C4×C103—41no—
415C22×C4×C103—41no—
416C22×C4×C103—41no—
417C22×C4×C103—41no—
418C22×C4×C103—41no—
419C22×C4×C103C22×C414yes—
420C22×C4×C103C22×C414yes—
421C22×C4×C103C22×C414yes—
422C22×C4×C103C22×C414yes—
423C22×C4×C103C22×C414yes—
424C22×C4×C103C2411yescharacteristic
425C22×C4×C103C2411yescharacteristic
426C22×C4×C103C2411yescharacteristic
427C22×C4×C103C2411yescharacteristic
428C22×C4×C103C2411yescharacteristic
429C22×C4×C103C2411yescharacteristic
430C22×C4×C103C2411yescharacteristic
431C22×C4×C103C2411yescharacteristic
432C22×C4×C103C2411yescharacteristic
433C22×C4×C103C2411yescharacteristic
434C22×C4×C103C2411yescharacteristic
435C22×C4×C103C2411yescharacteristic
436C22×C4×C103C2411yescharacteristic
437C22×C4×C103C2411yescharacteristic
438C22×C4×C103C2411yescharacteristic
439C22×C4×C103C2411yescharacteristic
440C22×C4×C103C2411yescharacteristic
441C22×C4×C103C2411yescharacteristic
442C22×C4×C103C2411yescharacteristic
443C22×C4×C103C2411yescharacteristic
444C22×C4×C103C2411yescharacteristic
445C22×C4×C103C2411yescharacteristic
446C22×C4×C103C2411yescharacteristic
447C22×C4×C103C2411yescharacteristic
448C22×C4×C103C2411yescharacteristic
449C22×C4×C103C2411yescharacteristic
450C22×C4×C103C2411yescharacteristic
451C22×C4×C103C2411yescharacteristic
452C4⋊C4×C103—22no—
453C4⋊C4×C103—22no—
454C4⋊C4×C103—22no—
455C4⋊C4×C103—22no—
456C4⋊C4×C103—22no—
457C4⋊C4×C103—22no—
458C4⋊C4×C103—22no—
459C4⋊C4×C103—22no—
460C4⋊C4×C103—22no—
461C4⋊C4×C103—22no—
462C4⋊C4×C103—22no—
463C4⋊C4×C103—22no—
464C4⋊C4×C103—41no—
465C4⋊C4×C103—41no—
466C4⋊C4×C103—41no—
467C4⋊C4×C103—41no—
468C4⋊C4×C103—41no—
469C4⋊C4×C103—41no—
470C4⋊C4×C103—41no—
471C4⋊C4×C103—41no—
472C4⋊C4×C103C22×C414yes—
473C4⋊C4×C103C22×C414yes—
474C4⋊C4×C103C22×C414yes—
475C4⋊C4×C103C22×C414yes—
476C4⋊C4×C103C22×C414yes—
477C4⋊C4×C103C22×C414yes—
478C4⋊C4×C103C22×C414yes—
479C4⋊C4×C103C22×C414yes—
480C4⋊C4×C103C22×C414yes—
481C4⋊C4×C103C22×C414yes—
482C4⋊C4×C103C22×C414yes—
483C4⋊C4×C103C22×C414yes—
484C4⋊C4×C103C22×C414yes—
485C4⋊C4×C103C22×C414yes—
486C22⋊C4×C103—22no—
487C22⋊C4×C103—22no—
488C22⋊C4×C103—22no—
489C22⋊C4×C103—22no—
490C22⋊C4×C103—22no—
491C22⋊C4×C103—22no—
492C22⋊C4×C103—22no—
493C22⋊C4×C103—22no—
494C22⋊C4×C103—41no—
495C22⋊C4×C103—41no—
496C22⋊C4×C103—41no—
497C22⋊C4×C103—41no—
498C22⋊C4×C103—41no—
499C22⋊C4×C103—41no—
500C22⋊C4×C103C22×C414yes—
501C22⋊C4×C103C22×C414yes—
502C22⋊C4×C103C22×C414yes—
503C22⋊C4×C103C22×C414yes—
504C22⋊C4×C103C22×C414yes—
505C22⋊C4×C103C22×C414yes—
506C22⋊C4×C103C22×C414yes—
507C22⋊C4×C103C22×C414yes—
508C22⋊C4×C103C22×C414yes—
509C22⋊C4×C103C22×C414yes—
510C22⋊C4×C103#4114yes—
511C22⋊C4×C103#4114yes—
512C42×C103—22no—
513C42×C103—22no—
514C42×C103—22no—
515C42×C103—22no—
516C42×C103—22no—
517C42×C103—22no—
518C42×C103—22no—
519C42×C103—22no—
520C42×C103—22no—
521C42×C103—22no—
522C42×C103—22no—
523C42×C103—22no—
524C42×C103—41no—
525C42×C103—41no—
526C42×C103—41no—
527C42×C103—41no—
528C42×C103—41no—
529C42×C103—41no—
530C42×C103—41no—
531C42×C103—41no—
532C42×C103—41no—
533C42×C103—41no—
534C42×C103—41no—
535C42×C103—41no—
536C42×C103—41no—
537C42×C103—41no—
538C42×C103—41no—
539C42×C103—41no—
540C42×C103C22×C414yes—
541C42×C103C22×C414yes—
542C23×C103—21no—
543C23×C103—21no—
544C23×C103—21no—
545C23×C103—21no—
546C23×C103—21no—
547C23×C103—21no—
548C23×C103—21no—
549C23×C103—21no—
550C23×C103—21no—
551C23×C103—21no—
552C23×C103—21no—
553C23×C103—21no—
554C23×C103—21no—
555C23×C103—21no—
556C23×C103—21no—
557C23×C103—21no—
558C23×C103C23×C412yes—
559C23×C103C23×C412yes—
560C23×C103C23×C412yes—
561C23×C103C2×#4112yes—
562C23×C103C2×#4112yes—
563C23×C103C2511yescharacteristic
564Q8×C103—44no—
565D4×C103—28no—
566D4×C103—28no—
567D4×C103—44no—
568C2×C4×C103—28no—
569C2×C4×C103—21no—
570C2×C4×C103—21no—
571C2×C4×C103—21no—
572C2×C4×C103—21no—
573C2×C4×C103—21no—
574C2×C4×C103—21no—
575C2×C4×C103—21no—
576C2×C4×C103—21no—
577C2×C4×C103—21no—
578C2×C4×C103—21no—
579C2×C4×C103—21no—
580C2×C4×C103—21no—
581C2×C4×C103—21no—
582C2×C4×C103—21no—
583C2×C4×C103—21no—
584C2×C4×C103—21no—
585C2×C4×C103—21no—
586C2×C4×C103—21no—
587C2×C4×C103—21no—
588C2×C4×C103—21no—
589C2×C4×C103—21no—
590C2×C4×C103—21no—
591C2×C4×C103—21no—
592C2×C4×C103—21no—
593C2×C4×C103—21no—
594C2×C4×C103—21no—
595C2×C4×C103—21no—
596C2×C4×C103—21no—
597C2×C4×C103—21no—
598C2×C4×C103—21no—
599C2×C4×C103—21no—
600C2×C4×C103—21no—
601C2×C4×C103—21no—
602C2×C4×C103—21no—
603C2×C4×C103—21no—
604C2×C4×C103—21no—
605C2×C4×C103—21no—
606C2×C4×C103—21no—
607C2×C4×C103—21no—
608C2×C4×C103—21no—
609C2×C4×C103—21no—
610C2×C4×C103—21no—
611C2×C4×C103—21no—
612C2×C4×C103—21no—
613C2×C4×C103—21no—
614C2×C4×C103—21no—
615C2×C4×C103—21no—
616C2×C4×C103—21no—
617C2×C4×C103—21no—
618C2×C4×C103—21no—
619C2×C4×C103—21no—
620C2×C4×C103—21no—
621C2×C4×C103—21no—
622C2×C4×C103—21no—
623C2×C4×C103—21no—
624C2×C4×C103—21no—
625C2×C4×C103—21no—
626C2×C4×C103—21no—
627C2×C4×C103—21no—
628C2×C4×C103—21no—
629C2×C4×C103—21no—
630C2×C4×C103—21no—
631C2×C4×C103—21no—
632C2×C4×C103—21no—
633C2×C4×C103—21no—
634C2×C4×C103—21no—
635C2×C4×C103—44no—
636C2×C4×C103—44no—
637C2×C4×C103—44no—
638C2×C4×C103—44no—
639C2×C4×C103—44no—
640C2×C4×C103—44no—
641C2×C4×C103—44no—
642C2×C4×C103—44no—
643C2×C4×C103—82no—
644C2×C4×C103—82no—
645C2×C4×C103—82no—
646C2×C4×C103—82no—
647C2×C4×C103C23×C412yes—
648C2×C4×C103C23×C412yes—
649C2×C4×C103C23×C412yes—
650C2×C4×C103C23×C412yes—
651C2×C4×C103C23×C412yes—
652C2×C4×C103C23×C412yes—
653C2×C4×C103C23×C412yes—
654C2×C4×C103C23×C412yes—
655C2×C4×C103C23×C412yes—
656C2×C4×C103C23×C412yes—
657C2×C4×C103C23×C412yes—
658C2×C4×C103C23×C412yes—
659C2×C4×C103C2×#4112yes—
660C2×C4×C103C2×#4112yes—
661C2×C4×C103C2×#4112yes—
662C2×C4×C103C2×#4112yes—
663C2×C4×C103H(5,𝔽2)12yes—
664C2×C4×C1032−1+412yes—
665C22×C103—22no—
666C22×C103—22no—
667C22×C103—22no—
668C22×C103—22no—
669C22×C103—22no—
670C22×C103—22no—
671C22×C103—22no—
672C22×C103—22no—
673C22×C103—22no—
674C22×C103—22no—
675C22×C103—22no—
676C22×C103—22no—
677C22×C103—41no—
678C22×C103—41no—
679C22×C103—41no—
680C22×C103—41no—
681C22×C103—41no—
682C22×C103—41no—
683C22×C103—41no—
684C22×C103—41no—
685C22×C103C4×#4114yes—
686C22×C103C24×C411yescharacteristic
687C22×C103C22×#4111yescharacteristic
688C22×C103C22×#4111yescharacteristic
689C22×C103C2×H(5,𝔽2)11yescharacteristic
690C22×C103C2×2−1+411yescharacteristic
691C22×C103#58511yescharacteristic
692C22×C103#58511yescharacteristic
693C4×C103—22no—
694C4×C103—22no—
695C4×C103—22no—
696C4×C103—22no—
697C4×C103—22no—
698C4×C103—22no—
699C4×C103—22no—
700C4×C103—22no—
701C4×C103—22no—
702C4×C103—22no—
703C4×C103—22no—
704C4×C103—22no—
705C4×C103—22no—
706C4×C103—22no—
707C4×C103—22no—
708C4×C103—22no—
709C4×C103—22no—
710C4×C103—22no—
711C4×C103—41no—
712C4×C103—41no—
713C4×C103—41no—
714C4×C103—41no—
715C4×C103—41no—
716C4×C103—41no—
717C4×C103—41no—
718C4×C103—41no—
719C4×C103—41no—
720C4×C103—41no—
721#34282C10311yesmaximal, characteristic, direct product factor, Sylow
722C2×C103—24no—
723C2×C103—42no—
724C2×C103—42no—
725C2×C103C2×C4×#4111yescharacteristic
726C2×C103C4×H(5,𝔽2)11yescharacteristic
727C2×C103C4×2−1+411yescharacteristic
728C2×C103#351311yescharacteristic
729C2×C103#351511yescharacteristic
730C2×C103#352011yescharacteristic
731C2×C103#352111yescharacteristic
732C2×#539C2×C10311yescharacteristic
733#2374C2×C10311yescharacteristic, complemented
734#2373C2×C10311yescharacteristic, complemented
735#2373C2×C10311yescharacteristic, complemented
736#2371C2×C10311yescharacteristic, complemented
737#2370C2×C10311yescharacteristic, complemented
738#2368C2×C10311yescharacteristic, complemented
739#2368C2×C10311yescharacteristic, complemented
740#2364C2×C10311yescharacteristic
741#2362C2×C10311yescharacteristic, complemented
742#2361C2×C10311yescharacteristic
743#2360C2×C10311yescharacteristic, complemented
744#2359C2×C10311yescharacteristic, complemented
745#2359C2×C10311yescharacteristic, complemented
746#2359C2×C10311yescharacteristic, complemented
747#2359C2×C10311yescharacteristic, complemented
748#2359C2×C10311yescharacteristic, complemented
749#2336C2×C10311yescharacteristic, complemented
750#2335C2×C10311yescharacteristic, complemented
751#2334C2×C10311yescharacteristic, complemented
752#2332C2×C10311yescharacteristic, complemented
753#2318C2×C10311yescharacteristic, complemented
754C4×#125C2×C10311yescharacteristic, complemented
755C4×#126C2×C10311yescharacteristic, complemented
756C4×C22⋊Q8C2×C10311yescharacteristic, complemented
757C4×#123C2×C10311yescharacteristic, complemented
758#2290C2×C10311yescharacteristic, complemented
759C2×#387C2×C10311yescharacteristic, complemented
760#2275C2×C10311yescharacteristic, complemented
761#2274C2×C10311yescharacteristic, complemented
762C42×D4C2×C10311yescharacteristic, complemented
763C103#3428211yescharacteristic, direct product factor, Sylow
764#539C4×C103116yescomplemented
765C2×#126C22×C10311yescharacteristic
766C2×#126C22×C10311yescharacteristic
767C2×#125C22×C10311yescharacteristic
768C2×#125C22×C10311yescharacteristic
769C2×#123C22×C10311yescharacteristic
770C2×#123C22×C10311yescharacteristic
771C2×#123C22×C10311yescharacteristic
772C2×#123C22×C10311yescharacteristic
773C2×C22⋊Q8C22×C10311yescharacteristic
774C2×C22⋊Q8C22×C10311yescharacteristic
775C2×C22⋊Q8C22×C10311yescharacteristic
776C2×#121C22×C10311yescharacteristic
777C2×C4×Q8C22×C10311yescharacteristic
778C2×C4×D4C22×C10311yescharacteristic
779C2×C4×D4C22×C10311yescharacteristic
780C2×C4×D4C22×C10311yescharacteristic
781C2×C4×D4C22×C10311yescharacteristic
782C2×C4×D4C22×C10311yescharacteristic
783C2×C4×D4C22×C10311yescharacteristic
784C2×C4×D4C22×C10311yescharacteristic
785C2×#117C22×C10311yescharacteristic
786C2×#117C22×C10311yescharacteristic
787C2×#117C22×C10311yescharacteristic
788C22×C4⋊C4C22×C10311yescharacteristic
789C22×C4⋊C4C22×C10311yescharacteristic
790C22×C42C22×C10311yescharacteristic
791C22×C42C22×C10311yescharacteristic
792#391C22×C10311yescharacteristic
793#391C22×C10311yescharacteristic
794#391C22×C10311yescharacteristic
795#390C22×C10311yescharacteristic
796#389C22×C10311yescharacteristic
797#389C22×C10311yescharacteristic
798#389C22×C10311yescharacteristic
799#389C22×C10311yescharacteristic
800#389C22×C10311yescharacteristic
801#389C22×C10311yescharacteristic
802#389C22×C10311yescharacteristic
803#389C22×C10311yescharacteristic
804#388C22×C10311yescharacteristic
805#388C22×C10311yescharacteristic
806#388C22×C10311yescharacteristic
807#388C22×C10311yescharacteristic
808#388C22×C10311yescharacteristic
809#388C22×C10311yescharacteristic
810#388C22×C10311yescharacteristic
811#388C22×C10311yescharacteristic
812#388C22×C10311yescharacteristic
813#388C22×C10311yescharacteristic
814#388C22×C10311yescharacteristic
815#388C22×C10311yescharacteristic
816#388C22×C10311yescharacteristic
817#388C22×C10311yescharacteristic
818#388C22×C10311yescharacteristic
819#388C22×C10311yescharacteristic
820#387C22×C10311yescharacteristic
821#387C22×C10311yescharacteristic
822#387C22×C10311yescharacteristic
823#387C22×C10311yescharacteristic
824#387C22×C10311yescharacteristic
825#387C22×C10311yescharacteristic
826#387C22×C10311yescharacteristic
827#387C22×C10311yescharacteristic
828#387C22×C10311yescharacteristic
829#387C22×C10311yescharacteristic
830#387C22×C10311yescharacteristic
831#387C22×C10311yescharacteristic
832#387C22×C10311yescharacteristic
833#387C22×C10311yescharacteristic
834#387C22×C10311yescharacteristic
835#387C22×C10311yescharacteristic
836#387C22×C10311yescharacteristic
837#387C22×C10311yescharacteristic
838#387C22×C10311yescharacteristic
839#387C22×C10311yescharacteristic
840#387C22×C10311yescharacteristic
841#387C22×C10311yescharacteristic
842#387C22×C10311yescharacteristic
843#387C22×C10311yescharacteristic
844#387C22×C10311yescharacteristic
845#387C22×C10311yescharacteristic
846#387C22×C10311yescharacteristic
847#387C22×C10311yescharacteristic
848#386C22×C10311yescharacteristic
849#386C22×C10311yescharacteristic
850#386C22×C10311yescharacteristic
851#386C22×C10311yescharacteristic
852#386C22×C10311yescharacteristic
853#386C22×C10311yescharacteristic
854#385C22×C10311yescharacteristic
855#385C22×C10311yescharacteristic
856#385C22×C10311yescharacteristic
857#385C22×C10311yescharacteristic
858#385C22×C10311yescharacteristic
859#385C22×C10311yescharacteristic
860#385C22×C10311yescharacteristic
861#385C22×C10311yescharacteristic
862#385C22×C10311yescharacteristic
863#385C22×C10311yescharacteristic
864#383C22×C10311yescharacteristic
865#382C22×C10311yescharacteristic
866#381C22×C10311yescharacteristic
867#380C22×C10311yescharacteristic
868C4×C4⋊C4C22×C10311yescharacteristic
869C4×C4⋊C4C22×C10311yescharacteristic
870C4×C4⋊C4C22×C10311yescharacteristic
871C4×C4⋊C4C22×C10311yescharacteristic
872C4×C4⋊C4C22×C10311yescharacteristic
873C4×C4⋊C4C22×C10311yescharacteristic
874C4×C4⋊C4C22×C10311yescharacteristic
875C4×C4⋊C4C22×C10311yescharacteristic
876C4×C4⋊C4C22×C10311yescharacteristic
877C4×C4⋊C4C22×C10311yescharacteristic
878C4×C4⋊C4C22×C10311yescharacteristic
879C4×C4⋊C4C22×C10311yescharacteristic
880C4×C4⋊C4C22×C10311yescharacteristic
881C4×C4⋊C4C22×C10311yescharacteristic
882C4×C4⋊C4C22×C10311yescharacteristic
883C4×C4⋊C4C22×C10311yescharacteristic
884C4×C4⋊C4C22×C10311yescharacteristic
885C4×C4⋊C4C22×C10311yescharacteristic
886C4×C4⋊C4C22×C10311yescharacteristic
887C4×C4⋊C4C22×C10311yescharacteristic
888C4×C4⋊C4C22×C10311yescharacteristic
889C4×C4⋊C4C22×C10311yescharacteristic
890C4×C4⋊C4C22×C10311yescharacteristic
891C4×C22⋊C4C22×C10311yescharacteristic
892C4×C22⋊C4C22×C10311yescharacteristic
893C4×C22⋊C4C22×C10311yescharacteristic
894C4×C22⋊C4C22×C10311yescharacteristic
895C4×C22⋊C4C22×C10311yescharacteristic
896C4×C22⋊C4C22×C10311yescharacteristic
897C4×C22⋊C4C22×C10311yescharacteristic
898C4×C22⋊C4C22×C10311yescharacteristic
899C4×C22⋊C4C22×C10311yescharacteristic
900C4×C22⋊C4C22×C10311yescharacteristic
901C4×C22⋊C4C22×C10311yescharacteristic
902C4×C22⋊C4C22×C10311yescharacteristic
903C4×C22⋊C4C22×C10311yescharacteristic
904C4×C22⋊C4C22×C10311yescharacteristic
905C4×C22⋊C4C22×C10311yescharacteristic
906C4×C22⋊C4C22×C10311yescharacteristic
907C4×C22⋊C4C22×C10311yescharacteristic
908C4×C22⋊C4C22×C10311yescharacteristic
909C4×C22⋊C4C22×C10311yescharacteristic
910C4×C22⋊C4C22×C10311yescharacteristic
911C4×C22⋊C4C22×C10311yescharacteristic
912#376C22×C10311yescharacteristic
913#376C22×C10311yescharacteristic
914C2×#95C22×C10311yescharacteristic
915C2×#95C22×C10311yescharacteristic
916C2×#95C22×C10311yescharacteristic
917C2×#95C22×C10311yescharacteristic
918C2×#95C22×C10311yescharacteristic
919C43C22×C10311yescharacteristic
920C22×Q8C23×C10311yescharacteristic
921C22×D4C23×C10311yescharacteristic
922C22×D4C23×C10311yescharacteristic
923C22×D4C23×C10311yescharacteristic
924C23×C4C23×C10311yescharacteristic
925C23×C4C23×C10311yescharacteristic
926C23×C4C23×C10311yescharacteristic
927C23×C4C23×C10311yescharacteristic
928C23×C4C23×C10311yescharacteristic
929C23×C4C23×C10311yescharacteristic
930C23×C4C23×C10311yescharacteristic
931C23×C4C23×C10311yescharacteristic
932C23×C4C23×C10311yescharacteristic
933C23×C4C23×C10311yescharacteristic
934C23×C4C23×C10311yescharacteristic
935C23×C4C23×C10311yescharacteristic
936C23×C4C23×C10311yescharacteristic
937#126C2×C4×C10318yescomplemented
938#126C2×C4×C10318yescomplemented
939#125C2×C4×C10318yescomplemented
940#125C2×C4×C10318yescomplemented
941#123C2×C4×C10318yescomplemented
942#123C2×C4×C10318yescomplemented
943#123C2×C4×C10318yescomplemented
944#123C2×C4×C10318yescomplemented
945C22⋊Q8C2×C4×C10318yescomplemented
946C22⋊Q8C2×C4×C10318yescomplemented
947C22⋊Q8C2×C4×C10318yescomplemented
948#121C2×C4×C10318yes—
949C4×Q8—42no—
950C4×D4—24no—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—42no—
955C4×D4C2×C4×C10318yescomplemented
956C4×D4C2×C4×C10318yescomplemented
957#117—24no—
958#117—24no—
959#117—42no—
960C2×C4⋊C4—42no—
961C2×C4⋊C4C2×C4×C10318yescomplemented
962C2×C4⋊C4C23×C10311yescharacteristic
963C2×C4⋊C4C23×C10311yescharacteristic
964C2×C4⋊C4C23×C10311yescharacteristic
965C2×C4⋊C4C23×C10311yescharacteristic
966C2×C4⋊C4C23×C10311yescharacteristic
967C2×C4⋊C4C23×C10311yescharacteristic
968C2×C4⋊C4C23×C10311yescharacteristic
969C2×C4⋊C4C23×C10311yescharacteristic
970C2×C4⋊C4C23×C10311yescharacteristic
971C2×C4⋊C4C23×C10311yescharacteristic
972C2×C4⋊C4C23×C10311yescharacteristic
973C2×C4⋊C4C23×C10311yescharacteristic
974C2×C4⋊C4C23×C10311yescharacteristic
975C2×C4⋊C4C23×C10311yescharacteristic
976C2×C4⋊C4C23×C10311yescharacteristic
977C2×C4⋊C4C23×C10311yescharacteristic
978C2×C4⋊C4C23×C10311yescharacteristic
979C2×C4⋊C4C23×C10311yescharacteristic
980C2×C4⋊C4C23×C10311yescharacteristic
981C2×C4⋊C4C23×C10311yescharacteristic
982C2×C4⋊C4C23×C10311yescharacteristic
983C2×C4⋊C4C23×C10311yescharacteristic
984C2×C4⋊C4C23×C10311yescharacteristic
985C2×C4⋊C4C23×C10311yescharacteristic
986C2×C4⋊C4C23×C10311yescharacteristic
987C2×C4⋊C4C23×C10311yescharacteristic
988C2×C4⋊C4C23×C10311yescharacteristic
989C2×C4⋊C4C23×C10311yescharacteristic
990C2×C4⋊C4C23×C10311yescharacteristic
991C2×C4⋊C4C23×C10311yescharacteristic
992C2×C4⋊C4C23×C10311yescharacteristic
993C2×C4⋊C4C23×C10311yescharacteristic
994C2×C4⋊C4C23×C10311yescharacteristic
995C2×C4⋊C4C23×C10311yescharacteristic
996C2×C22⋊C4C23×C10311yescharacteristic
997C2×C22⋊C4C23×C10311yescharacteristic
998C2×C22⋊C4C23×C10311yescharacteristic
999C2×C22⋊C4C23×C10311yescharacteristic
1000C2×C22⋊C4C23×C10311yescharacteristic
1001C2×C22⋊C4C23×C10311yescharacteristic
1002C2×C22⋊C4C23×C10311yescharacteristic
1003C2×C22⋊C4C23×C10311yescharacteristic
1004C2×C22⋊C4C23×C10311yescharacteristic
1005C2×C22⋊C4C23×C10311yescharacteristic
1006C2×C22⋊C4C23×C10311yescharacteristic
1007C2×C22⋊C4C23×C10311yescharacteristic
1008C2×C22⋊C4C23×C10311yescharacteristic
1009C2×C22⋊C4C23×C10311yescharacteristic
1010C2×C22⋊C4C23×C10311yescharacteristic
1011C2×C22⋊C4C23×C10311yescharacteristic
1012C2×C22⋊C4C23×C10311yescharacteristic
1013C2×C22⋊C4C23×C10311yescharacteristic
1014C2×C22⋊C4C23×C10311yescharacteristic
1015C2×C22⋊C4C23×C10311yescharacteristic
1016C2×C22⋊C4C23×C10311yescharacteristic
1017C2×C22⋊C4C23×C10311yescharacteristic
1018C2×C22⋊C4C23×C10311yescharacteristic
1019C2×C22⋊C4C23×C10311yescharacteristic
1020C2×C22⋊C4C23×C10311yescharacteristic
1021C2×C22⋊C4C23×C10311yescharacteristic
1022C2×C42—42no—
1023C2×C42—42no—
1024C2×C42C23×C10311yescharacteristic
1025C2×C42C23×C10311yescharacteristic
1026C2×C42C23×C10311yescharacteristic
1027C2×C42C23×C10311yescharacteristic
1028C2×C42C23×C10311yescharacteristic
1029C2×C42C23×C10311yescharacteristic
1030C2×C42C23×C10311yescharacteristic
1031C2×C42C23×C10311yescharacteristic
1032C2×C42C23×C10311yescharacteristic
1033C2×C42C23×C10311yescharacteristic
1034C2×C42C23×C10311yescharacteristic
1035C2×C42C23×C10311yescharacteristic
1036C2×C42C23×C10311yescharacteristic
1037C2×C42C23×C10311yescharacteristic
1038C2×C42C23×C10311yescharacteristic
1039C2×C42C23×C10311yescharacteristic
1040C2×C42C23×C10311yescharacteristic
1041C2×C42C23×C10311yescharacteristic
1042C2×C42C23×C10311yescharacteristic
1043C2×C42C23×C10311yescharacteristic
1044C2×C42C23×C10311yescharacteristic
1045C2×C42C23×C10311yescharacteristic
1046C2×C42C23×C10311yescharacteristic
1047C2×C42C23×C10311yescharacteristic
1048C2×C42C23×C10311yescharacteristic
1049C2×C42C23×C10311yescharacteristic
1050C2×C42C23×C10311yescharacteristic
1051C2×C42C23×C10311yescharacteristic
1052C2×C42C23×C10311yescharacteristic
1053C2×C42C23×C10311yescharacteristic
1054#95C23×C10311yescharacteristic
1055#95C23×C10311yescharacteristic
1056#95C23×C10311yescharacteristic
1057#95C23×C10311yescharacteristic
1058#95C23×C10311yescharacteristic
1059#95C23×C10311yescharacteristic
1060#95C23×C10311yescharacteristic
1061#95C23×C10311yescharacteristic
1062#95C23×C10311yescharacteristic
1063#95C23×C10311yescharacteristic
1064#95C23×C10311yescharacteristic
1065#95C23×C10311yescharacteristic
1066#95C23×C10311yescharacteristic
1067#95C23×C10311yescharacteristic
1068#95C23×C10311yescharacteristic
1069#95C23×C10311yescharacteristic
1070#95C23×C10311yescharacteristic
1071#95C23×C10311yescharacteristic
1072#95C23×C10311yescharacteristic
1073#95C23×C10311yescharacteristic
1074#95C23×C10311yescharacteristic
1075#95C23×C10311yescharacteristic
1076#95C23×C10311yescharacteristic
1077#95C23×C10311yescharacteristic
1078#95C23×C10311yescharacteristic
1079#95C23×C10311yescharacteristic
1080#95C23×C10311yescharacteristic
1081#95C23×C10311yescharacteristic
1082#95C23×C10311yescharacteristic
1083#95C23×C10311yescharacteristic
1084#95C23×C10311yescharacteristic
1085#95C23×C10311yescharacteristic
1086#95C23×C10311yescharacteristic
1087#95C23×C10311yescharacteristic
1088#95C23×C10311yescharacteristic
1089#95C23×C10311yescharacteristic
1090#95C23×C10311yescharacteristic
1091#95C23×C10311yescharacteristic
1092#95C23×C10311yescharacteristic
1093#95C23×C10311yescharacteristic
1094#95C23×C10311yescharacteristic
1095#95C23×C10311yescharacteristic
1096#95C23×C10311yescharacteristic
1097#95C23×C10311yescharacteristic
1098#95C23×C10311yescharacteristic
1099#95C23×C10311yescharacteristic
1100#95C23×C10311yescharacteristic
1101#95C23×C10311yescharacteristic
1102C24C24×C10311yescharacteristic
1103C24C24×C10311yescharacteristic
1104C24C24×C10311yescharacteristic
1105C2×Q8—41no—
1106C2×Q8—41no—
1107C2×Q8C22×C4×C10314yes—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4C22×C4×C10314yes—
1115C2×D4C22×C4×C10314yes—
1116C2×D4C22×C4×C10314yes—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4C22×C4×C10314yes—
1152C22×C4C22×C4×C10314yes—
1153C22×C4C22×C4×C10314yes—
1154C22×C4C22×C4×C10314yes—
1155C22×C4C22×C4×C10314yes—
1156C22×C4C24×C10311yescharacteristic
1157C22×C4C24×C10311yescharacteristic
1158C22×C4C24×C10311yescharacteristic
1159C22×C4C24×C10311yescharacteristic
1160C22×C4C24×C10311yescharacteristic
1161C22×C4C24×C10311yescharacteristic
1162C22×C4C24×C10311yescharacteristic
1163C22×C4C24×C10311yescharacteristic
1164C22×C4C24×C10311yescharacteristic
1165C22×C4C24×C10311yescharacteristic
1166C22×C4C24×C10311yescharacteristic
1167C22×C4C24×C10311yescharacteristic
1168C22×C4C24×C10311yescharacteristic
1169C22×C4C24×C10311yescharacteristic
1170C22×C4C24×C10311yescharacteristic
1171C22×C4C24×C10311yescharacteristic
1172C22×C4C24×C10311yescharacteristic
1173C22×C4C24×C10311yescharacteristic
1174C22×C4C24×C10311yescharacteristic
1175C22×C4C24×C10311yescharacteristic
1176C22×C4C24×C10311yescharacteristic
1177C22×C4C24×C10311yescharacteristic
1178C22×C4C24×C10311yescharacteristic
1179C22×C4C24×C10311yescharacteristic
1180C22×C4C24×C10311yescharacteristic
1181C22×C4C24×C10311yescharacteristic
1182C22×C4C24×C10311yescharacteristic
1183C22×C4C24×C10311yescharacteristic
1184C4⋊C4—22no—
1185C4⋊C4—22no—
1186C4⋊C4—22no—
1187C4⋊C4—22no—
1188C4⋊C4—22no—
1189C4⋊C4—22no—
1190C4⋊C4—22no—
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4C22×C4×C10314yes—
1205C4⋊C4C22×C4×C10314yes—
1206C4⋊C4C22×C4×C10314yes—
1207C4⋊C4C22×C4×C10314yes—
1208C4⋊C4C22×C4×C10314yes—
1209C4⋊C4C22×C4×C10314yes—
1210C4⋊C4C22×C4×C10314yes—
1211C4⋊C4C22×C4×C10314yes—
1212C4⋊C4C22×C4×C10314yes—
1213C4⋊C4C22×C4×C10314yes—
1214C4⋊C4C22×C4×C10314yes—
1215C4⋊C4C22×C4×C10314yes—
1216C4⋊C4C22×C4×C10314yes—
1217C4⋊C4C22×C4×C10314yes—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4C22×C4×C10314yes—
1233C22⋊C4C22×C4×C10314yes—
1234C22⋊C4C22×C4×C10314yes—
1235C22⋊C4C22×C4×C10314yes—
1236C22⋊C4C22×C4×C10314yes—
1237C22⋊C4C22×C4×C10314yes—
1238C22⋊C4C22×C4×C10314yes—
1239C22⋊C4C22×C4×C10314yes—
1240C22⋊C4C22×C4×C10314yes—
1241C22⋊C4C22×C4×C10314yes—
1242C22⋊C4#41×C10314yes—
1243C22⋊C4#41×C10314yes—
1244C42—22no—
1245C42—22no—
1246C42—22no—
1247C42—22no—
1248C42—22no—
1249C42—22no—
1250C42—22no—
1251C42—22no—
1252C42—22no—
1253C42—22no—
1254C42—22no—
1255C42—22no—
1256C42—41no—
1257C42—41no—
1258C42—41no—
1259C42—41no—
1260C42—41no—
1261C42—41no—
1262C42—41no—
1263C42—41no—
1264C42—41no—
1265C42—41no—
1266C42—41no—
1267C42—41no—
1268C42—41no—
1269C42—41no—
1270C42—41no—
1271C42—41no—
1272C42C22×C4×C10314yes—
1273C42C22×C4×C10314yes—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23C23×C4×C10312yes—
1291C23C23×C4×C10312yes—
1292C23C23×C4×C10312yes—
1293C23C2×#41×C10312yes—
1294C23C2×#41×C10312yes—
1295C23C25×C10311yescharacteristic
1296Q8—44no—
1297D4—28no—
1298D4—28no—
1299D4—44no—
1300C2×C4—28no—
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—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—44no—
1368C2×C4—44no—
1369C2×C4—44no—
1370C2×C4—44no—
1371C2×C4—44no—
1372C2×C4—44no—
1373C2×C4—44no—
1374C2×C4—44no—
1375C2×C4—82no—
1376C2×C4—82no—
1377C2×C4—82no—
1378C2×C4—82no—
1379C2×C4C23×C4×C10312yes—
1380C2×C4C23×C4×C10312yes—
1381C2×C4C23×C4×C10312yes—
1382C2×C4C23×C4×C10312yes—
1383C2×C4C23×C4×C10312yes—
1384C2×C4C23×C4×C10312yes—
1385C2×C4C23×C4×C10312yes—
1386C2×C4C23×C4×C10312yes—
1387C2×C4C23×C4×C10312yes—
1388C2×C4C23×C4×C10312yes—
1389C2×C4C23×C4×C10312yes—
1390C2×C4C23×C4×C10312yes—
1391C2×C4C2×#41×C10312yes—
1392C2×C4C2×#41×C10312yes—
1393C2×C4C2×#41×C10312yes—
1394C2×C4C2×#41×C10312yes—
1395C2×C4H(5,𝔽2)×C10312yes—
1396C2×C42−1+4×C10312yes—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—22no—
1401C22—22no—
1402C22—22no—
1403C22—22no—
1404C22—22no—
1405C22—22no—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22C4×#41×C10314yes—
1418C22C24×C4×C10311yescharacteristic
1419C22C22×#41×C10311yescharacteristic
1420C22C22×#41×C10311yescharacteristic
1421C22C2×H(5,𝔽2)×C10311yescharacteristic
1422C22C2×2−1+4×C10311yescharacteristic
1423C22#585×C10311yescharacteristic
1424C22#585×C10311yescharacteristic
1425C4—22no—
1426C4—22no—
1427C4—22no—
1428C4—22no—
1429C4—22no—
1430C4—22no—
1431C4—22no—
1432C4—22no—
1433C4—22no—
1434C4—22no—
1435C4—22no—
1436C4—22no—
1437C4—22no—
1438C4—22no—
1439C4—22no—
1440C4—22no—
1441C4—22no—
1442C4—22no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C2—24no—
1454C2—42no—
1455C2—42no—
1456C2C2×C4×#41×C10311yescharacteristic
1457C2C4×H(5,𝔽2)×C10311yescharacteristic
1458C2C4×2−1+4×C10311yescharacteristic
1459C2C103×#351311yescharacteristic
1460C2C103×#351511yescharacteristic
1461C2C103×#352011yescharacteristic
1462C2C103×#352111yescharacteristic
subgroupG/H
center, socleC23×C103C25
commutatorC22C24×C4×C103
Frattini, cosocleC23C25×C103
prime radicalC2×#121×C103C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C103 ◁ G

Complements

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

NH ≅ G/Ntype
2. C103×#2374C2semidirect
3. C103×#2373C2semidirect
4. C103×#2373C2semidirect
5. C103×#2371C2semidirect
6. C103×#2370C2semidirect
7. C103×#2368C2semidirect
8. C103×#2368C2semidirect
10. C103×#2362C2semidirect
12. C103×#2360C2semidirect
13. C103×#2359C2semidirect
14. C103×#2359C2semidirect
15. C103×#2359C2semidirect
16. C103×#2359C2semidirect
17. C103×#2359C2semidirect
18. C103×#2336C2semidirect
19. C103×#2335C2semidirect
20. C103×#2334C2semidirect
21. C103×#2332C2semidirect
22. C103×#2318C2semidirect
23. C4×#125×C103C2semidirect
24. C4×#126×C103C2semidirect
25. C4×C22⋊Q8×C103C2semidirect
26. C4×#123×C103C2semidirect
27. C103×#2290C2semidirect
28. C2×#387×C103C2semidirect
29. C103×#2275C2semidirect
30. C103×#2274C2semidirect
31. C42×D4×C103C2semidirect
32. #539×C103C4semidirect
205. #126×C103C2×C4semidirect
206. #126×C103C2×C4semidirect
207. #125×C103C2×C4semidirect
208. #125×C103C2×C4semidirect
209. #123×C103C2×C4semidirect
210. #123×C103C2×C4semidirect
211. #123×C103C2×C4semidirect
212. #123×C103C2×C4semidirect
213. C22⋊Q8×C103C2×C4semidirect
214. C22⋊Q8×C103C2×C4semidirect
215. C22⋊Q8×C103C2×C4semidirect
223. C4×D4×C103C2×C4semidirect
224. C4×D4×C103C2×C4semidirect
229. C2×C4⋊C4×C103C2×C4semidirect
721. #34282C103direct (N × H)
733. #2374C2×C103semidirect
734. #2373C2×C103semidirect
735. #2373C2×C103semidirect
736. #2371C2×C103semidirect
737. #2370C2×C103semidirect
738. #2368C2×C103semidirect
739. #2368C2×C103semidirect
741. #2362C2×C103semidirect
743. #2360C2×C103semidirect
744. #2359C2×C103semidirect
745. #2359C2×C103semidirect
746. #2359C2×C103semidirect
747. #2359C2×C103semidirect
748. #2359C2×C103semidirect
749. #2336C2×C103semidirect
750. #2335C2×C103semidirect
751. #2334C2×C103semidirect
752. #2332C2×C103semidirect
753. #2318C2×C103semidirect
754. C4×#125C2×C103semidirect
755. C4×#126C2×C103semidirect
756. C4×C22⋊Q8C2×C103semidirect
757. C4×#123C2×C103semidirect
758. #2290C2×C103semidirect
759. C2×#387C2×C103semidirect
760. #2275C2×C103semidirect
761. #2274C2×C103semidirect
762. C42×D4C2×C103semidirect
763. C103#34282direct (N × H)
764. #539C4×C103semidirect
937. #126C2×C4×C103semidirect
938. #126C2×C4×C103semidirect
939. #125C2×C4×C103semidirect
940. #125C2×C4×C103semidirect
941. #123C2×C4×C103semidirect
942. #123C2×C4×C103semidirect
943. #123C2×C4×C103semidirect
944. #123C2×C4×C103semidirect
945. C22⋊Q8C2×C4×C103semidirect
946. C22⋊Q8C2×C4×C103semidirect
947. C22⋊Q8C2×C4×C103semidirect
955. C4×D4C2×C4×C103semidirect
956. C4×D4C2×C4×C103semidirect
961. C2×C4⋊C4C2×C4×C103semidirect

Maximal subgroups

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

subgroupindex
C2×#539×C1032
C103×#23742
C103×#23732
C103×#23712
C103×#23702
C103×#23682
C103×#23642
C103×#23622
C103×#23612
C103×#23602
C103×#23592
C103×#23362
C103×#23352
C103×#23342
C103×#23322
C103×#23182
C4×#125×C1032
C4×#126×C1032
C4×C22⋊Q8×C1032
C4×#123×C1032
C103×#22902
C2×#387×C1032
C103×#22752
C103×#22742
C42×D4×C1032
#34282103