Finite Group Databasebeta

← C103×#34297 #39939572

Subgroups — C103×#34297 #39939572

Order 26368.

2156 conjugacy classes of subgroups.

The subgroup lattice has 1384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#552×C103C211yesmaximal, characteristic
2C103×#2373C211yesmaximal, characteristic, complemented
3C103×#2373C211yesmaximal, characteristic, complemented
4C103×#2371C211yesmaximal, characteristic, complemented
5C103×#2371C211yesmaximal, characteristic, complemented
6C103×#2370C211yesmaximal, characteristic, complemented
7C103×#2368C211yesmaximal, characteristic, complemented
8C103×#2368C211yesmaximal, characteristic, complemented
9C103×#2359C211yesmaximal, characteristic
10C103×#2359C211yesmaximal, characteristic
11C103×#2356C211yesmaximal, characteristic, complemented
12C103×#2353C211yesmaximal, characteristic
13C103×#2344C211yesmaximal, characteristic, complemented
14C103×#2343C211yesmaximal, characteristic, complemented
15C103×#2343C211yesmaximal, characteristic, complemented
16C103×#2343C211yesmaximal, characteristic, complemented
17C103×#2336C211yesmaximal, characteristic, complemented
18C103×#2336C211yesmaximal, characteristic, complemented
19C103×#2334C211yesmaximal, characteristic, complemented
20C103×#2332C211yesmaximal, characteristic, complemented
21C103×#2329C211yesmaximal, characteristic, complemented
22C103×#2322C211yesmaximal, characteristic
23C4×#125×C103C211yesmaximal, characteristic, complemented
24C4×#126×C103C211yesmaximal, characteristic, complemented
25C4×#123×C103C211yesmaximal, characteristic
26C103×#2298C211yesmaximal, characteristic, complemented
27C103×#2295C211yesmaximal, characteristic, complemented
28C2×#387×C103C211yesmaximal, characteristic, complemented
29C103×#2275C211yesmaximal, characteristic
30C103×#2274C211yesmaximal, characteristic, complemented
31C4×#117×C103C211yesmaximal, characteristic, complemented
32#552×C103C4116yescomplemented
33C2×#126×C103C2211yescharacteristic
34C2×#126×C103C2211yescharacteristic
35C2×#125×C103C2211yescharacteristic
36C2×#125×C103C2211yescharacteristic
37C2×#125×C103C2211yescharacteristic
38C2×#123×C103C2211yescharacteristic
39C2×#123×C103C2211yescharacteristic
40C2×C22⋊Q8×C103C2211yescharacteristic
41C2×C22⋊Q8×C103C2211yescharacteristic
42C2×C4×Q8×C103C2211yescharacteristic
43C2×C4×D4×C103C2211yescharacteristic
44C2×C4×D4×C103C2211yescharacteristic
45C2×C4×D4×C103C2211yescharacteristic
46C2×#117×C103C2211yescharacteristic
47C2×#117×C103C2211yescharacteristic
48C2×#117×C103C2211yescharacteristic
49C2×#117×C103C2211yescharacteristic
50C2×#117×C103C2211yescharacteristic
51C22×C4⋊C4×C103C2211yescharacteristic
52C22×C4⋊C4×C103C2211yescharacteristic
53C22×C42×C103C2211yescharacteristic
54#391×C103C2211yescharacteristic
55#391×C103C2211yescharacteristic
56#391×C103C2211yescharacteristic
57#391×C103C2211yescharacteristic
58#389×C103C2211yescharacteristic
59#389×C103C2211yescharacteristic
60#389×C103C2211yescharacteristic
61#389×C103C2211yescharacteristic
62#389×C103C2211yescharacteristic
63#389×C103C2211yescharacteristic
64#389×C103C2211yescharacteristic
65#389×C103C2211yescharacteristic
66#388×C103C2211yescharacteristic
67#388×C103C2211yescharacteristic
68#388×C103C2211yescharacteristic
69#388×C103C2211yescharacteristic
70#388×C103C2211yescharacteristic
71#388×C103C2211yescharacteristic
72#388×C103C2211yescharacteristic
73#388×C103C2211yescharacteristic
74#388×C103C2211yescharacteristic
75#388×C103C2211yescharacteristic
76#387×C103C2211yescharacteristic
77#387×C103C2211yescharacteristic
78#387×C103C2211yescharacteristic
79#387×C103C2211yescharacteristic
80#387×C103C2211yescharacteristic
81#387×C103C2211yescharacteristic
82#387×C103C2211yescharacteristic
83#387×C103C2211yescharacteristic
84#387×C103C2211yescharacteristic
85#387×C103C2211yescharacteristic
86#387×C103C2211yescharacteristic
87#387×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#386×C103C2211yescharacteristic
115#386×C103C2211yescharacteristic
116#385×C103C2211yescharacteristic
117#385×C103C2211yescharacteristic
118#385×C103C2211yescharacteristic
119#385×C103C2211yescharacteristic
120#385×C103C2211yescharacteristic
121#385×C103C2211yescharacteristic
122#385×C103C2211yescharacteristic
123#385×C103C2211yescharacteristic
124#383×C103C2211yescharacteristic
125#383×C103C2211yescharacteristic
126#383×C103C2211yescharacteristic
127#382×C103C2211yescharacteristic
128#382×C103C2211yescharacteristic
129#381×C103C2211yescharacteristic
130#381×C103C2211yescharacteristic
131#381×C103C2211yescharacteristic
132#380×C103C2211yescharacteristic
133C4×C4⋊C4×C103C2211yescharacteristic
134C4×C4⋊C4×C103C2211yescharacteristic
135C4×C4⋊C4×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×C22⋊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
175#376×C103C2211yescharacteristic
176#376×C103C2211yescharacteristic
177#376×C103C2211yescharacteristic
178#376×C103C2211yescharacteristic
179#376×C103C2211yescharacteristic
180#376×C103C2211yescharacteristic
181C2×#95×C103C2211yescharacteristic
182C2×#95×C103C2211yescharacteristic
183C2×#95×C103C2211yescharacteristic
184C2×#95×C103C2211yescharacteristic
185C2×#95×C103C2211yescharacteristic
186C43×C103C2211yescharacteristic
187C43×C103C2211yescharacteristic
188C22×Q8×C103C2311yescharacteristic
189C22×D4×C103C2311yescharacteristic
190C23×C4×C103C2311yescharacteristic
191C23×C4×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
200#126×C103C2×C418yescomplemented
201#126×C103C2×C418yescomplemented
202#125×C103C2×C418yescomplemented
203#125×C103C2×C418yescomplemented
204#125×C103C2×C418yescomplemented
205#123×C103C2×C418yes—
206#123×C103C2×C418yes—
207C22⋊Q8×C103C2×C418yescomplemented
208C22⋊Q8×C103C2×C418yescomplemented
209C4×Q8×C103C2×C418yescomplemented
210C4×D4×C103—24no—
211C4×D4×C103—24no—
212C4×D4×C103C2×C418yes—
213#117×C103—24no—
214#117×C103—24no—
215#117×C103C2×C418yescomplemented
216#117×C103C2×C418yescomplemented
217#117×C103C2×C418yescomplemented
218C2×C4⋊C4×C103—24no—
219C2×C4⋊C4×C103C2×C418yescomplemented
220C2×C4⋊C4×C103C2311yescharacteristic
221C2×C4⋊C4×C103C2311yescharacteristic
222C2×C4⋊C4×C103C2311yescharacteristic
223C2×C4⋊C4×C103C2311yescharacteristic
224C2×C4⋊C4×C103C2311yescharacteristic
225C2×C4⋊C4×C103C2311yescharacteristic
226C2×C4⋊C4×C103C2311yescharacteristic
227C2×C4⋊C4×C103C2311yescharacteristic
228C2×C4⋊C4×C103C2311yescharacteristic
229C2×C4⋊C4×C103C2311yescharacteristic
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×C22⋊C4×C103C2311yescharacteristic
257C2×C22⋊C4×C103C2311yescharacteristic
258C2×C22⋊C4×C103C2311yescharacteristic
259C2×C22⋊C4×C103C2311yescharacteristic
260C2×C22⋊C4×C103C2311yescharacteristic
261C2×C22⋊C4×C103C2311yescharacteristic
262C2×C22⋊C4×C103C2311yescharacteristic
263C2×C22⋊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×C42×C103—24no—
275C2×C42×C103C2311yescharacteristic
276C2×C42×C103C2311yescharacteristic
277C2×C42×C103C2311yescharacteristic
278C2×C42×C103C2311yescharacteristic
279C2×C42×C103C2311yescharacteristic
280C2×C42×C103C2311yescharacteristic
281C2×C42×C103C2311yescharacteristic
282C2×C42×C103C2311yescharacteristic
283C2×C42×C103C2311yescharacteristic
284C2×C42×C103C2311yescharacteristic
285C2×C42×C103C2311yescharacteristic
286C2×C42×C103C2311yescharacteristic
287C2×C42×C103C2311yescharacteristic
288C2×C42×C103C2311yescharacteristic
289C2×C42×C103C2311yescharacteristic
290C2×C42×C103C2311yescharacteristic
291C2×C42×C103C2311yescharacteristic
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
308#95×C103C2311yescharacteristic
309#95×C103C2311yescharacteristic
310#95×C103C2311yescharacteristic
311#95×C103C2311yescharacteristic
312#95×C103C2311yescharacteristic
313#95×C103C2311yescharacteristic
314#95×C103C2311yescharacteristic
315#95×C103C2311yescharacteristic
316#95×C103C2311yescharacteristic
317#95×C103C2311yescharacteristic
318#95×C103C2311yescharacteristic
319#95×C103C2311yescharacteristic
320#95×C103C2311yescharacteristic
321#95×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
364C24×C103C2411yescharacteristic
365C24×C103C2411yescharacteristic
366C2×Q8×C103—41no—
367C2×Q8×C103—41no—
368C2×Q8×C103C22×C414yes—
369C2×D4×C103—22no—
370C2×D4×C103—22no—
371C2×D4×C103C22×C414yes—
372C22×C4×C103—22no—
373C22×C4×C103—22no—
374C22×C4×C103—22no—
375C22×C4×C103—22no—
376C22×C4×C103—22no—
377C22×C4×C103—22no—
378C22×C4×C103—22no—
379C22×C4×C103—22no—
380C22×C4×C103—22no—
381C22×C4×C103—22no—
382C22×C4×C103—41no—
383C22×C4×C103—41no—
384C22×C4×C103—41no—
385C22×C4×C103—41no—
386C22×C4×C103—41no—
387C22×C4×C103—41no—
388C22×C4×C103—41no—
389C22×C4×C103—41no—
390C22×C4×C103—41no—
391C22×C4×C103—41no—
392C22×C4×C103—41no—
393C22×C4×C103—41no—
394C22×C4×C103—41no—
395C22×C4×C103—41no—
396C22×C4×C103—41no—
397C22×C4×C103C22×C414yes—
398C22×C4×C103C22×C414yes—
399C22×C4×C103C22×C414yes—
400C22×C4×C103C22×C414yes—
401C22×C4×C103#4114yes—
402C22×C4×C103C2411yescharacteristic
403C22×C4×C103C2411yescharacteristic
404C22×C4×C103C2411yescharacteristic
405C22×C4×C103C2411yescharacteristic
406C22×C4×C103C2411yescharacteristic
407C22×C4×C103C2411yescharacteristic
408C22×C4×C103C2411yescharacteristic
409C22×C4×C103C2411yescharacteristic
410C22×C4×C103C2411yescharacteristic
411C22×C4×C103C2411yescharacteristic
412C22×C4×C103C2411yescharacteristic
413C22×C4×C103C2411yescharacteristic
414C22×C4×C103C2411yescharacteristic
415C22×C4×C103C2411yescharacteristic
416C22×C4×C103C2411yescharacteristic
417C22×C4×C103C2411yescharacteristic
418C22×C4×C103C2411yescharacteristic
419C22×C4×C103C2411yescharacteristic
420C22×C4×C103C2411yescharacteristic
421C22×C4×C103C2411yescharacteristic
422C22×C4×C103C2411yescharacteristic
423C22×C4×C103C2411yescharacteristic
424C22×C4×C103C2411yescharacteristic
425C22×C4×C103C2411yescharacteristic
426C22×C4×C103C2411yescharacteristic
427C22×C4×C103C2411yescharacteristic
428C22×C4×C103C2411yescharacteristic
429C22×C4×C103C2411yescharacteristic
430C22×C4×C103C2411yescharacteristic
431C4⋊C4×C103—22no—
432C4⋊C4×C103—22no—
433C4⋊C4×C103—22no—
434C4⋊C4×C103—22no—
435C4⋊C4×C103—22no—
436C4⋊C4×C103—22no—
437C4⋊C4×C103—22no—
438C4⋊C4×C103—22no—
439C4⋊C4×C103—22no—
440C4⋊C4×C103—22no—
441C4⋊C4×C103—22no—
442C4⋊C4×C103—41no—
443C4⋊C4×C103—41no—
444C4⋊C4×C103—41no—
445C4⋊C4×C103—41no—
446C4⋊C4×C103—41no—
447C4⋊C4×C103—41no—
448C4⋊C4×C103—41no—
449C4⋊C4×C103—41no—
450C4⋊C4×C103—41no—
451C4⋊C4×C103C22×C414yes—
452C4⋊C4×C103C22×C414yes—
453C4⋊C4×C103C22×C414yes—
454C4⋊C4×C103C22×C414yes—
455C4⋊C4×C103C22×C414yes—
456C4⋊C4×C103C22×C414yes—
457C4⋊C4×C103C22×C414yes—
458C4⋊C4×C103C22×C414yes—
459C4⋊C4×C103C22×C414yes—
460C4⋊C4×C103C22×C414yes—
461C4⋊C4×C103C22×C414yes—
462C4⋊C4×C103C22×C414yes—
463C4⋊C4×C103C22×C414yes—
464C4⋊C4×C103C22×C414yes—
465C4⋊C4×C103C22×C414yes—
466C4⋊C4×C103C22×C414yes—
467C22⋊C4×C103—22no—
468C22⋊C4×C103—22no—
469C22⋊C4×C103—22no—
470C22⋊C4×C103—22no—
471C22⋊C4×C103—22no—
472C22⋊C4×C103—22no—
473C22⋊C4×C103—41no—
474C22⋊C4×C103—41no—
475C22⋊C4×C103—41no—
476C22⋊C4×C103C22×C414yes—
477C22⋊C4×C103C22×C414yes—
478C22⋊C4×C103C22×C414yes—
479C22⋊C4×C103C22×C414yes—
480C22⋊C4×C103C22×C414yes—
481C22⋊C4×C103C22×C414yes—
482C22⋊C4×C103C22×C414yes—
483C22⋊C4×C103C22×C414yes—
484C22⋊C4×C103#4114yes—
485C42×C103—22no—
486C42×C103—22no—
487C42×C103—22no—
488C42×C103—22no—
489C42×C103—22no—
490C42×C103—22no—
491C42×C103—22no—
492C42×C103—22no—
493C42×C103—22no—
494C42×C103—22no—
495C42×C103—22no—
496C42×C103—22no—
497C42×C103—41no—
498C42×C103—41no—
499C42×C103—41no—
500C42×C103—41no—
501C42×C103—41no—
502C42×C103—41no—
503C42×C103—41no—
504C42×C103—41no—
505C42×C103—41no—
506C42×C103—41no—
507C42×C103—41no—
508C42×C103—41no—
509C42×C103—41no—
510C42×C103—41no—
511C42×C103—41no—
512C42×C103—41no—
513C42×C103C22×C414yes—
514C42×C103C22×C414yes—
515C42×C103C22×C414yes—
516C42×C103C22×C414yes—
517C42×C103C22×C414yes—
518C23×C103—21no—
519C23×C103—21no—
520C23×C103—21no—
521C23×C103—21no—
522C23×C103—21no—
523C23×C103—21no—
524C23×C103—21no—
525C23×C103—21no—
526C23×C103—21no—
527C23×C103—21no—
528C23×C103C23×C412yes—
529C23×C103C23×C412yes—
530C23×C103C2×#4112yes—
531C23×C103C2×#4112yes—
532C23×C103C2511yescharacteristic
533Q8×C103—44no—
534D4×C103—28no—
535C2×C4×C103—28no—
536C2×C4×C103—28no—
537C2×C4×C103—21no—
538C2×C4×C103—21no—
539C2×C4×C103—21no—
540C2×C4×C103—21no—
541C2×C4×C103—21no—
542C2×C4×C103—21no—
543C2×C4×C103—21no—
544C2×C4×C103—21no—
545C2×C4×C103—21no—
546C2×C4×C103—21no—
547C2×C4×C103—21no—
548C2×C4×C103—21no—
549C2×C4×C103—21no—
550C2×C4×C103—21no—
551C2×C4×C103—21no—
552C2×C4×C103—21no—
553C2×C4×C103—21no—
554C2×C4×C103—21no—
555C2×C4×C103—21no—
556C2×C4×C103—21no—
557C2×C4×C103—21no—
558C2×C4×C103—21no—
559C2×C4×C103—21no—
560C2×C4×C103—21no—
561C2×C4×C103—21no—
562C2×C4×C103—21no—
563C2×C4×C103—21no—
564C2×C4×C103—21no—
565C2×C4×C103—21no—
566C2×C4×C103—21no—
567C2×C4×C103—21no—
568C2×C4×C103—21no—
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—44no—
607C2×C4×C103—44no—
608C2×C4×C103—44no—
609C2×C4×C103—44no—
610C2×C4×C103—82no—
611C2×C4×C103—82no—
612C2×C4×C103—82no—
613C2×C4×C103—82no—
614C2×C4×C103C23×C412yes—
615C2×C4×C103C23×C412yes—
616C2×C4×C103C23×C412yes—
617C2×C4×C103C23×C412yes—
618C2×C4×C103C23×C412yes—
619C2×C4×C103C23×C412yes—
620C2×C4×C103C23×C412yes—
621C2×C4×C103C23×C412yes—
622C2×C4×C103C23×C412yes—
623C2×C4×C103C23×C412yes—
624C2×C4×C103C23×C412yes—
625C2×C4×C103C23×C412yes—
626C2×C4×C103C23×C412yes—
627C2×C4×C103C2×#4112yes—
628C2×C4×C103C2×#4112yes—
629C2×C4×C103C2×#4112yes—
630C2×C4×C103C2×#4112yes—
631C2×C4×C1032−1+412yes—
632C22×C103—22no—
633C22×C103—22no—
634C22×C103—22no—
635C22×C103—22no—
636C22×C103—22no—
637C22×C103—22no—
638C22×C103—22no—
639C22×C103—22no—
640C22×C103—22no—
641C22×C103—41no—
642C22×C103—41no—
643C22×C103—41no—
644C22×C103—41no—
645C22×C103C4×#4114yes—
646C22×C103C24×C411yescharacteristic
647C22×C103C22×#4111yescharacteristic
648C22×C103C22×#4111yescharacteristic
649C22×C103C2×2−1+411yescharacteristic
650C22×C103#58511yescharacteristic
651C22×C103#58511yescharacteristic
652C22×C103#58511yescharacteristic
653C4×C103—22no—
654C4×C103—22no—
655C4×C103—22no—
656C4×C103—22no—
657C4×C103—22no—
658C4×C103—22no—
659C4×C103—22no—
660C4×C103—22no—
661C4×C103—22no—
662C4×C103—22no—
663C4×C103—22no—
664C4×C103—22no—
665C4×C103—22no—
666C4×C103—22no—
667C4×C103—22no—
668C4×C103—22no—
669C4×C103—22no—
670C4×C103—22no—
671C4×C103—41no—
672C4×C103—41no—
673C4×C103—41no—
674C4×C103—41no—
675C4×C103—41no—
676C4×C103—41no—
677C4×C103—41no—
678C4×C103—41no—
679C4×C103—41no—
680C4×C103—41no—
681C4×C103—41no—
682#34297C10311yesmaximal, characteristic, direct product factor, Sylow
683C2×C103—24no—
684C2×C103—42no—
685C2×C103C2×C4×#4111yescharacteristic
686C2×C103#342811yescharacteristic
687C2×C103C4×2−1+411yescharacteristic
688C2×C103#349111yescharacteristic
689C2×C103#349511yescharacteristic
690C2×C103#351511yescharacteristic
691C2×C103#352111yescharacteristic
692C2×#552C2×C10311yescharacteristic
693#2373C2×C10311yescharacteristic, complemented
694#2373C2×C10311yescharacteristic, complemented
695#2371C2×C10311yescharacteristic, complemented
696#2371C2×C10311yescharacteristic, complemented
697#2370C2×C10311yescharacteristic, complemented
698#2368C2×C10311yescharacteristic, complemented
699#2368C2×C10311yescharacteristic, complemented
700#2359C2×C10311yescharacteristic
701#2359C2×C10311yescharacteristic
702#2356C2×C10311yescharacteristic, complemented
703#2353C2×C10311yescharacteristic
704#2344C2×C10311yescharacteristic, complemented
705#2343C2×C10311yescharacteristic, complemented
706#2343C2×C10311yescharacteristic, complemented
707#2343C2×C10311yescharacteristic, complemented
708#2336C2×C10311yescharacteristic, complemented
709#2336C2×C10311yescharacteristic, complemented
710#2334C2×C10311yescharacteristic, complemented
711#2332C2×C10311yescharacteristic, complemented
712#2329C2×C10311yescharacteristic, complemented
713#2322C2×C10311yescharacteristic
714C4×#125C2×C10311yescharacteristic, complemented
715C4×#126C2×C10311yescharacteristic, complemented
716C4×#123C2×C10311yescharacteristic
717#2298C2×C10311yescharacteristic, complemented
718#2295C2×C10311yescharacteristic, complemented
719C2×#387C2×C10311yescharacteristic, complemented
720#2275C2×C10311yescharacteristic
721#2274C2×C10311yescharacteristic, complemented
722C4×#117C2×C10311yescharacteristic, complemented
723C103#3429711yescharacteristic, direct product factor, Sylow
724#552C4×C103116yescomplemented
725C2×#126C22×C10311yescharacteristic
726C2×#126C22×C10311yescharacteristic
727C2×#125C22×C10311yescharacteristic
728C2×#125C22×C10311yescharacteristic
729C2×#125C22×C10311yescharacteristic
730C2×#123C22×C10311yescharacteristic
731C2×#123C22×C10311yescharacteristic
732C2×C22⋊Q8C22×C10311yescharacteristic
733C2×C22⋊Q8C22×C10311yescharacteristic
734C2×C4×Q8C22×C10311yescharacteristic
735C2×C4×D4C22×C10311yescharacteristic
736C2×C4×D4C22×C10311yescharacteristic
737C2×C4×D4C22×C10311yescharacteristic
738C2×#117C22×C10311yescharacteristic
739C2×#117C22×C10311yescharacteristic
740C2×#117C22×C10311yescharacteristic
741C2×#117C22×C10311yescharacteristic
742C2×#117C22×C10311yescharacteristic
743C22×C4⋊C4C22×C10311yescharacteristic
744C22×C4⋊C4C22×C10311yescharacteristic
745C22×C42C22×C10311yescharacteristic
746#391C22×C10311yescharacteristic
747#391C22×C10311yescharacteristic
748#391C22×C10311yescharacteristic
749#391C22×C10311yescharacteristic
750#389C22×C10311yescharacteristic
751#389C22×C10311yescharacteristic
752#389C22×C10311yescharacteristic
753#389C22×C10311yescharacteristic
754#389C22×C10311yescharacteristic
755#389C22×C10311yescharacteristic
756#389C22×C10311yescharacteristic
757#389C22×C10311yescharacteristic
758#388C22×C10311yescharacteristic
759#388C22×C10311yescharacteristic
760#388C22×C10311yescharacteristic
761#388C22×C10311yescharacteristic
762#388C22×C10311yescharacteristic
763#388C22×C10311yescharacteristic
764#388C22×C10311yescharacteristic
765#388C22×C10311yescharacteristic
766#388C22×C10311yescharacteristic
767#388C22×C10311yescharacteristic
768#387C22×C10311yescharacteristic
769#387C22×C10311yescharacteristic
770#387C22×C10311yescharacteristic
771#387C22×C10311yescharacteristic
772#387C22×C10311yescharacteristic
773#387C22×C10311yescharacteristic
774#387C22×C10311yescharacteristic
775#387C22×C10311yescharacteristic
776#387C22×C10311yescharacteristic
777#387C22×C10311yescharacteristic
778#387C22×C10311yescharacteristic
779#387C22×C10311yescharacteristic
780#387C22×C10311yescharacteristic
781#387C22×C10311yescharacteristic
782#387C22×C10311yescharacteristic
783#387C22×C10311yescharacteristic
784#387C22×C10311yescharacteristic
785#387C22×C10311yescharacteristic
786#387C22×C10311yescharacteristic
787#387C22×C10311yescharacteristic
788#387C22×C10311yescharacteristic
789#387C22×C10311yescharacteristic
790#387C22×C10311yescharacteristic
791#387C22×C10311yescharacteristic
792#387C22×C10311yescharacteristic
793#387C22×C10311yescharacteristic
794#387C22×C10311yescharacteristic
795#387C22×C10311yescharacteristic
796#387C22×C10311yescharacteristic
797#387C22×C10311yescharacteristic
798#387C22×C10311yescharacteristic
799#387C22×C10311yescharacteristic
800#387C22×C10311yescharacteristic
801#387C22×C10311yescharacteristic
802#387C22×C10311yescharacteristic
803#387C22×C10311yescharacteristic
804#387C22×C10311yescharacteristic
805#387C22×C10311yescharacteristic
806#386C22×C10311yescharacteristic
807#386C22×C10311yescharacteristic
808#385C22×C10311yescharacteristic
809#385C22×C10311yescharacteristic
810#385C22×C10311yescharacteristic
811#385C22×C10311yescharacteristic
812#385C22×C10311yescharacteristic
813#385C22×C10311yescharacteristic
814#385C22×C10311yescharacteristic
815#385C22×C10311yescharacteristic
816#383C22×C10311yescharacteristic
817#383C22×C10311yescharacteristic
818#383C22×C10311yescharacteristic
819#382C22×C10311yescharacteristic
820#382C22×C10311yescharacteristic
821#381C22×C10311yescharacteristic
822#381C22×C10311yescharacteristic
823#381C22×C10311yescharacteristic
824#380C22×C10311yescharacteristic
825C4×C4⋊C4C22×C10311yescharacteristic
826C4×C4⋊C4C22×C10311yescharacteristic
827C4×C4⋊C4C22×C10311yescharacteristic
828C4×C4⋊C4C22×C10311yescharacteristic
829C4×C4⋊C4C22×C10311yescharacteristic
830C4×C4⋊C4C22×C10311yescharacteristic
831C4×C4⋊C4C22×C10311yescharacteristic
832C4×C4⋊C4C22×C10311yescharacteristic
833C4×C4⋊C4C22×C10311yescharacteristic
834C4×C4⋊C4C22×C10311yescharacteristic
835C4×C4⋊C4C22×C10311yescharacteristic
836C4×C4⋊C4C22×C10311yescharacteristic
837C4×C4⋊C4C22×C10311yescharacteristic
838C4×C4⋊C4C22×C10311yescharacteristic
839C4×C4⋊C4C22×C10311yescharacteristic
840C4×C4⋊C4C22×C10311yescharacteristic
841C4×C4⋊C4C22×C10311yescharacteristic
842C4×C4⋊C4C22×C10311yescharacteristic
843C4×C4⋊C4C22×C10311yescharacteristic
844C4×C4⋊C4C22×C10311yescharacteristic
845C4×C4⋊C4C22×C10311yescharacteristic
846C4×C4⋊C4C22×C10311yescharacteristic
847C4×C4⋊C4C22×C10311yescharacteristic
848C4×C4⋊C4C22×C10311yescharacteristic
849C4×C4⋊C4C22×C10311yescharacteristic
850C4×C22⋊C4C22×C10311yescharacteristic
851C4×C22⋊C4C22×C10311yescharacteristic
852C4×C22⋊C4C22×C10311yescharacteristic
853C4×C22⋊C4C22×C10311yescharacteristic
854C4×C22⋊C4C22×C10311yescharacteristic
855C4×C22⋊C4C22×C10311yescharacteristic
856C4×C22⋊C4C22×C10311yescharacteristic
857C4×C22⋊C4C22×C10311yescharacteristic
858C4×C22⋊C4C22×C10311yescharacteristic
859C4×C22⋊C4C22×C10311yescharacteristic
860C4×C22⋊C4C22×C10311yescharacteristic
861C4×C22⋊C4C22×C10311yescharacteristic
862C4×C22⋊C4C22×C10311yescharacteristic
863C4×C22⋊C4C22×C10311yescharacteristic
864C4×C22⋊C4C22×C10311yescharacteristic
865C4×C22⋊C4C22×C10311yescharacteristic
866C4×C22⋊C4C22×C10311yescharacteristic
867#376C22×C10311yescharacteristic
868#376C22×C10311yescharacteristic
869#376C22×C10311yescharacteristic
870#376C22×C10311yescharacteristic
871#376C22×C10311yescharacteristic
872#376C22×C10311yescharacteristic
873C2×#95C22×C10311yescharacteristic
874C2×#95C22×C10311yescharacteristic
875C2×#95C22×C10311yescharacteristic
876C2×#95C22×C10311yescharacteristic
877C2×#95C22×C10311yescharacteristic
878C43C22×C10311yescharacteristic
879C43C22×C10311yescharacteristic
880C22×Q8C23×C10311yescharacteristic
881C22×D4C23×C10311yescharacteristic
882C23×C4C23×C10311yescharacteristic
883C23×C4C23×C10311yescharacteristic
884C23×C4C23×C10311yescharacteristic
885C23×C4C23×C10311yescharacteristic
886C23×C4C23×C10311yescharacteristic
887C23×C4C23×C10311yescharacteristic
888C23×C4C23×C10311yescharacteristic
889C23×C4C23×C10311yescharacteristic
890C23×C4C23×C10311yescharacteristic
891C23×C4C23×C10311yescharacteristic
892#126C2×C4×C10318yescomplemented
893#126C2×C4×C10318yescomplemented
894#125C2×C4×C10318yescomplemented
895#125C2×C4×C10318yescomplemented
896#125C2×C4×C10318yescomplemented
897#123C2×C4×C10318yes—
898#123C2×C4×C10318yes—
899C22⋊Q8C2×C4×C10318yescomplemented
900C22⋊Q8C2×C4×C10318yescomplemented
901C4×Q8C2×C4×C10318yescomplemented
902C4×D4—24no—
903C4×D4—24no—
904C4×D4C2×C4×C10318yes—
905#117—24no—
906#117—24no—
907#117C2×C4×C10318yescomplemented
908#117C2×C4×C10318yescomplemented
909#117C2×C4×C10318yescomplemented
910C2×C4⋊C4—24no—
911C2×C4⋊C4C2×C4×C10318yescomplemented
912C2×C4⋊C4C23×C10311yescharacteristic
913C2×C4⋊C4C23×C10311yescharacteristic
914C2×C4⋊C4C23×C10311yescharacteristic
915C2×C4⋊C4C23×C10311yescharacteristic
916C2×C4⋊C4C23×C10311yescharacteristic
917C2×C4⋊C4C23×C10311yescharacteristic
918C2×C4⋊C4C23×C10311yescharacteristic
919C2×C4⋊C4C23×C10311yescharacteristic
920C2×C4⋊C4C23×C10311yescharacteristic
921C2×C4⋊C4C23×C10311yescharacteristic
922C2×C4⋊C4C23×C10311yescharacteristic
923C2×C4⋊C4C23×C10311yescharacteristic
924C2×C4⋊C4C23×C10311yescharacteristic
925C2×C4⋊C4C23×C10311yescharacteristic
926C2×C4⋊C4C23×C10311yescharacteristic
927C2×C4⋊C4C23×C10311yescharacteristic
928C2×C4⋊C4C23×C10311yescharacteristic
929C2×C4⋊C4C23×C10311yescharacteristic
930C2×C4⋊C4C23×C10311yescharacteristic
931C2×C4⋊C4C23×C10311yescharacteristic
932C2×C4⋊C4C23×C10311yescharacteristic
933C2×C4⋊C4C23×C10311yescharacteristic
934C2×C4⋊C4C23×C10311yescharacteristic
935C2×C4⋊C4C23×C10311yescharacteristic
936C2×C4⋊C4C23×C10311yescharacteristic
937C2×C4⋊C4C23×C10311yescharacteristic
938C2×C4⋊C4C23×C10311yescharacteristic
939C2×C4⋊C4C23×C10311yescharacteristic
940C2×C4⋊C4C23×C10311yescharacteristic
941C2×C4⋊C4C23×C10311yescharacteristic
942C2×C4⋊C4C23×C10311yescharacteristic
943C2×C4⋊C4C23×C10311yescharacteristic
944C2×C4⋊C4C23×C10311yescharacteristic
945C2×C4⋊C4C23×C10311yescharacteristic
946C2×C4⋊C4C23×C10311yescharacteristic
947C2×C4⋊C4C23×C10311yescharacteristic
948C2×C22⋊C4C23×C10311yescharacteristic
949C2×C22⋊C4C23×C10311yescharacteristic
950C2×C22⋊C4C23×C10311yescharacteristic
951C2×C22⋊C4C23×C10311yescharacteristic
952C2×C22⋊C4C23×C10311yescharacteristic
953C2×C22⋊C4C23×C10311yescharacteristic
954C2×C22⋊C4C23×C10311yescharacteristic
955C2×C22⋊C4C23×C10311yescharacteristic
956C2×C22⋊C4C23×C10311yescharacteristic
957C2×C22⋊C4C23×C10311yescharacteristic
958C2×C22⋊C4C23×C10311yescharacteristic
959C2×C22⋊C4C23×C10311yescharacteristic
960C2×C22⋊C4C23×C10311yescharacteristic
961C2×C22⋊C4C23×C10311yescharacteristic
962C2×C22⋊C4C23×C10311yescharacteristic
963C2×C22⋊C4C23×C10311yescharacteristic
964C2×C22⋊C4C23×C10311yescharacteristic
965C2×C22⋊C4C23×C10311yescharacteristic
966C2×C42—24no—
967C2×C42C23×C10311yescharacteristic
968C2×C42C23×C10311yescharacteristic
969C2×C42C23×C10311yescharacteristic
970C2×C42C23×C10311yescharacteristic
971C2×C42C23×C10311yescharacteristic
972C2×C42C23×C10311yescharacteristic
973C2×C42C23×C10311yescharacteristic
974C2×C42C23×C10311yescharacteristic
975C2×C42C23×C10311yescharacteristic
976C2×C42C23×C10311yescharacteristic
977C2×C42C23×C10311yescharacteristic
978C2×C42C23×C10311yescharacteristic
979C2×C42C23×C10311yescharacteristic
980C2×C42C23×C10311yescharacteristic
981C2×C42C23×C10311yescharacteristic
982C2×C42C23×C10311yescharacteristic
983C2×C42C23×C10311yescharacteristic
984C2×C42C23×C10311yescharacteristic
985C2×C42C23×C10311yescharacteristic
986C2×C42C23×C10311yescharacteristic
987C2×C42C23×C10311yescharacteristic
988C2×C42C23×C10311yescharacteristic
989C2×C42C23×C10311yescharacteristic
990C2×C42C23×C10311yescharacteristic
991C2×C42C23×C10311yescharacteristic
992C2×C42C23×C10311yescharacteristic
993C2×C42C23×C10311yescharacteristic
994C2×C42C23×C10311yescharacteristic
995C2×C42C23×C10311yescharacteristic
996C2×C42C23×C10311yescharacteristic
997C2×C42C23×C10311yescharacteristic
998C2×C42C23×C10311yescharacteristic
999C2×C42C23×C10311yescharacteristic
1000#95C23×C10311yescharacteristic
1001#95C23×C10311yescharacteristic
1002#95C23×C10311yescharacteristic
1003#95C23×C10311yescharacteristic
1004#95C23×C10311yescharacteristic
1005#95C23×C10311yescharacteristic
1006#95C23×C10311yescharacteristic
1007#95C23×C10311yescharacteristic
1008#95C23×C10311yescharacteristic
1009#95C23×C10311yescharacteristic
1010#95C23×C10311yescharacteristic
1011#95C23×C10311yescharacteristic
1012#95C23×C10311yescharacteristic
1013#95C23×C10311yescharacteristic
1014#95C23×C10311yescharacteristic
1015#95C23×C10311yescharacteristic
1016#95C23×C10311yescharacteristic
1017#95C23×C10311yescharacteristic
1018#95C23×C10311yescharacteristic
1019#95C23×C10311yescharacteristic
1020#95C23×C10311yescharacteristic
1021#95C23×C10311yescharacteristic
1022#95C23×C10311yescharacteristic
1023#95C23×C10311yescharacteristic
1024#95C23×C10311yescharacteristic
1025#95C23×C10311yescharacteristic
1026#95C23×C10311yescharacteristic
1027#95C23×C10311yescharacteristic
1028#95C23×C10311yescharacteristic
1029#95C23×C10311yescharacteristic
1030#95C23×C10311yescharacteristic
1031#95C23×C10311yescharacteristic
1032#95C23×C10311yescharacteristic
1033#95C23×C10311yescharacteristic
1034#95C23×C10311yescharacteristic
1035#95C23×C10311yescharacteristic
1036#95C23×C10311yescharacteristic
1037#95C23×C10311yescharacteristic
1038#95C23×C10311yescharacteristic
1039#95C23×C10311yescharacteristic
1040#95C23×C10311yescharacteristic
1041#95C23×C10311yescharacteristic
1042#95C23×C10311yescharacteristic
1043#95C23×C10311yescharacteristic
1044#95C23×C10311yescharacteristic
1045#95C23×C10311yescharacteristic
1046#95C23×C10311yescharacteristic
1047#95C23×C10311yescharacteristic
1048#95C23×C10311yescharacteristic
1049#95C23×C10311yescharacteristic
1050#95C23×C10311yescharacteristic
1051#95C23×C10311yescharacteristic
1052#95C23×C10311yescharacteristic
1053#95C23×C10311yescharacteristic
1054#95C23×C10311yescharacteristic
1055#95C23×C10311yescharacteristic
1056C24C24×C10311yescharacteristic
1057C24C24×C10311yescharacteristic
1058C2×Q8—41no—
1059C2×Q8—41no—
1060C2×Q8C22×C4×C10314yes—
1061C2×D4—22no—
1062C2×D4—22no—
1063C2×D4C22×C4×C10314yes—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—41no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—41no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4C22×C4×C10314yes—
1090C22×C4C22×C4×C10314yes—
1091C22×C4C22×C4×C10314yes—
1092C22×C4C22×C4×C10314yes—
1093C22×C4#41×C10314yes—
1094C22×C4C24×C10311yescharacteristic
1095C22×C4C24×C10311yescharacteristic
1096C22×C4C24×C10311yescharacteristic
1097C22×C4C24×C10311yescharacteristic
1098C22×C4C24×C10311yescharacteristic
1099C22×C4C24×C10311yescharacteristic
1100C22×C4C24×C10311yescharacteristic
1101C22×C4C24×C10311yescharacteristic
1102C22×C4C24×C10311yescharacteristic
1103C22×C4C24×C10311yescharacteristic
1104C22×C4C24×C10311yescharacteristic
1105C22×C4C24×C10311yescharacteristic
1106C22×C4C24×C10311yescharacteristic
1107C22×C4C24×C10311yescharacteristic
1108C22×C4C24×C10311yescharacteristic
1109C22×C4C24×C10311yescharacteristic
1110C22×C4C24×C10311yescharacteristic
1111C22×C4C24×C10311yescharacteristic
1112C22×C4C24×C10311yescharacteristic
1113C22×C4C24×C10311yescharacteristic
1114C22×C4C24×C10311yescharacteristic
1115C22×C4C24×C10311yescharacteristic
1116C22×C4C24×C10311yescharacteristic
1117C22×C4C24×C10311yescharacteristic
1118C22×C4C24×C10311yescharacteristic
1119C22×C4C24×C10311yescharacteristic
1120C22×C4C24×C10311yescharacteristic
1121C22×C4C24×C10311yescharacteristic
1122C22×C4C24×C10311yescharacteristic
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—22no—
1133C4⋊C4—22no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—41no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4C22×C4×C10314yes—
1144C4⋊C4C22×C4×C10314yes—
1145C4⋊C4C22×C4×C10314yes—
1146C4⋊C4C22×C4×C10314yes—
1147C4⋊C4C22×C4×C10314yes—
1148C4⋊C4C22×C4×C10314yes—
1149C4⋊C4C22×C4×C10314yes—
1150C4⋊C4C22×C4×C10314yes—
1151C4⋊C4C22×C4×C10314yes—
1152C4⋊C4C22×C4×C10314yes—
1153C4⋊C4C22×C4×C10314yes—
1154C4⋊C4C22×C4×C10314yes—
1155C4⋊C4C22×C4×C10314yes—
1156C4⋊C4C22×C4×C10314yes—
1157C4⋊C4C22×C4×C10314yes—
1158C4⋊C4C22×C4×C10314yes—
1159C22⋊C4—22no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—41no—
1166C22⋊C4—41no—
1167C22⋊C4—41no—
1168C22⋊C4C22×C4×C10314yes—
1169C22⋊C4C22×C4×C10314yes—
1170C22⋊C4C22×C4×C10314yes—
1171C22⋊C4C22×C4×C10314yes—
1172C22⋊C4C22×C4×C10314yes—
1173C22⋊C4C22×C4×C10314yes—
1174C22⋊C4C22×C4×C10314yes—
1175C22⋊C4C22×C4×C10314yes—
1176C22⋊C4#41×C10314yes—
1177C42—22no—
1178C42—22no—
1179C42—22no—
1180C42—22no—
1181C42—22no—
1182C42—22no—
1183C42—22no—
1184C42—22no—
1185C42—22no—
1186C42—22no—
1187C42—22no—
1188C42—22no—
1189C42—41no—
1190C42—41no—
1191C42—41no—
1192C42—41no—
1193C42—41no—
1194C42—41no—
1195C42—41no—
1196C42—41no—
1197C42—41no—
1198C42—41no—
1199C42—41no—
1200C42—41no—
1201C42—41no—
1202C42—41no—
1203C42—41no—
1204C42—41no—
1205C42C22×C4×C10314yes—
1206C42C22×C4×C10314yes—
1207C42C22×C4×C10314yes—
1208C42C22×C4×C10314yes—
1209C42C22×C4×C10314yes—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23C23×C4×C10312yes—
1221C23C23×C4×C10312yes—
1222C23C2×#41×C10312yes—
1223C23C2×#41×C10312yes—
1224C23C25×C10311yescharacteristic
1225Q8—44no—
1226D4—28no—
1227C2×C4—28no—
1228C2×C4—28no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
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—44no—
1299C2×C4—44no—
1300C2×C4—44no—
1301C2×C4—44no—
1302C2×C4—82no—
1303C2×C4—82no—
1304C2×C4—82no—
1305C2×C4—82no—
1306C2×C4C23×C4×C10312yes—
1307C2×C4C23×C4×C10312yes—
1308C2×C4C23×C4×C10312yes—
1309C2×C4C23×C4×C10312yes—
1310C2×C4C23×C4×C10312yes—
1311C2×C4C23×C4×C10312yes—
1312C2×C4C23×C4×C10312yes—
1313C2×C4C23×C4×C10312yes—
1314C2×C4C23×C4×C10312yes—
1315C2×C4C23×C4×C10312yes—
1316C2×C4C23×C4×C10312yes—
1317C2×C4C23×C4×C10312yes—
1318C2×C4C23×C4×C10312yes—
1319C2×C4C2×#41×C10312yes—
1320C2×C4C2×#41×C10312yes—
1321C2×C4C2×#41×C10312yes—
1322C2×C4C2×#41×C10312yes—
1323C2×C42−1+4×C10312yes—
1324C22—22no—
1325C22—22no—
1326C22—22no—
1327C22—22no—
1328C22—22no—
1329C22—22no—
1330C22—22no—
1331C22—22no—
1332C22—22no—
1333C22—41no—
1334C22—41no—
1335C22—41no—
1336C22—41no—
1337C22C4×#41×C10314yes—
1338C22C24×C4×C10311yescharacteristic
1339C22C22×#41×C10311yescharacteristic
1340C22C22×#41×C10311yescharacteristic
1341C22C2×2−1+4×C10311yescharacteristic
1342C22#585×C10311yescharacteristic
1343C22#585×C10311yescharacteristic
1344C22#585×C10311yescharacteristic
1345C4—22no—
1346C4—22no—
1347C4—22no—
1348C4—22no—
1349C4—22no—
1350C4—22no—
1351C4—22no—
1352C4—22no—
1353C4—22no—
1354C4—22no—
1355C4—22no—
1356C4—22no—
1357C4—22no—
1358C4—22no—
1359C4—22no—
1360C4—22no—
1361C4—22no—
1362C4—22no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C2—24no—
1375C2—42no—
1376C2C2×C4×#41×C10311yescharacteristic
1377C2C103×#342811yescharacteristic
1378C2C4×2−1+4×C10311yescharacteristic
1379C2C103×#349111yescharacteristic
1380C2C103×#349511yescharacteristic
1381C2C103×#351511yescharacteristic
1382C2C103×#352111yescharacteristic
subgroupG/H
center, socleC23×C103C25
commutatorC22C24×C4×C103
Frattini, cosocleC23C25×C103
prime radicalC22×D4×C103C23
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C103 ◁ G

Complements

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

NH ≅ G/Ntype
2. C103×#2373C2semidirect
3. C103×#2373C2semidirect
4. C103×#2371C2semidirect
5. C103×#2371C2semidirect
6. C103×#2370C2semidirect
7. C103×#2368C2semidirect
8. C103×#2368C2semidirect
11. C103×#2356C2semidirect
13. C103×#2344C2semidirect
14. C103×#2343C2semidirect
15. C103×#2343C2semidirect
16. C103×#2343C2semidirect
17. C103×#2336C2semidirect
18. C103×#2336C2semidirect
19. C103×#2334C2semidirect
20. C103×#2332C2semidirect
21. C103×#2329C2semidirect
23. C4×#125×C103C2semidirect
24. C4×#126×C103C2semidirect
26. C103×#2298C2semidirect
27. C103×#2295C2semidirect
28. C2×#387×C103C2semidirect
30. C103×#2274C2semidirect
31. C4×#117×C103C2semidirect
32. #552×C103C4semidirect
200. #126×C103C2×C4semidirect
201. #126×C103C2×C4semidirect
202. #125×C103C2×C4semidirect
203. #125×C103C2×C4semidirect
204. #125×C103C2×C4semidirect
207. C22⋊Q8×C103C2×C4semidirect
208. C22⋊Q8×C103C2×C4semidirect
209. C4×Q8×C103C2×C4semidirect
215. #117×C103C2×C4semidirect
216. #117×C103C2×C4semidirect
217. #117×C103C2×C4semidirect
219. C2×C4⋊C4×C103C2×C4semidirect
682. #34297C103direct (N × H)
693. #2373C2×C103semidirect
694. #2373C2×C103semidirect
695. #2371C2×C103semidirect
696. #2371C2×C103semidirect
697. #2370C2×C103semidirect
698. #2368C2×C103semidirect
699. #2368C2×C103semidirect
702. #2356C2×C103semidirect
704. #2344C2×C103semidirect
705. #2343C2×C103semidirect
706. #2343C2×C103semidirect
707. #2343C2×C103semidirect
708. #2336C2×C103semidirect
709. #2336C2×C103semidirect
710. #2334C2×C103semidirect
711. #2332C2×C103semidirect
712. #2329C2×C103semidirect
714. C4×#125C2×C103semidirect
715. C4×#126C2×C103semidirect
717. #2298C2×C103semidirect
718. #2295C2×C103semidirect
719. C2×#387C2×C103semidirect
721. #2274C2×C103semidirect
722. C4×#117C2×C103semidirect
723. C103#34297direct (N × H)
724. #552C4×C103semidirect
892. #126C2×C4×C103semidirect
893. #126C2×C4×C103semidirect
894. #125C2×C4×C103semidirect
895. #125C2×C4×C103semidirect
896. #125C2×C4×C103semidirect
899. C22⋊Q8C2×C4×C103semidirect
900. C22⋊Q8C2×C4×C103semidirect
901. C4×Q8C2×C4×C103semidirect
907. #117C2×C4×C103semidirect
908. #117C2×C4×C103semidirect
909. #117C2×C4×C103semidirect
911. 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×#552×C1032
C103×#23732
C103×#23712
C103×#23702
C103×#23682
C103×#23592
C103×#23562
C103×#23532
C103×#23442
C103×#23432
C103×#23362
C103×#23342
C103×#23322
C103×#23292
C103×#23222
C4×#125×C1032
C4×#126×C1032
C4×#123×C1032
C103×#22982
C103×#22952
C2×#387×C1032
C103×#22752
C103×#22742
C4×#117×C1032
#34297103