Finite Group Databasebeta

← C37×#34504 #22655757

Subgroups — C37×#34504 #22655757

Order 9472.

2156 conjugacy classes of subgroups.

The subgroup lattice has 1486 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C37×#551C211yesmaximal, characteristic
2C37×#2383C211yesmaximal, characteristic, complemented
3C37×#2378C211yesmaximal, characteristic, complemented
4C37×#2376C211yesmaximal, characteristic, complemented
5C37×#2375C211yesmaximal, characteristic
6C37×#2374C211yesmaximal, characteristic, complemented
7C37×#2373C211yesmaximal, characteristic, complemented
8C37×#2367C211yesmaximal, characteristic, complemented
9C37×#2362C211yesmaximal, characteristic, complemented
10C37×#2359C211yesmaximal, characteristic, complemented
11C37×#2354C211yesmaximal, characteristic, complemented
12C37×#2353C211yesmaximal, characteristic, complemented
13C37×#2347C211yesmaximal, characteristic, complemented
14C37×#2347C211yesmaximal, characteristic, complemented
15C37×#2342C211yesmaximal, characteristic, complemented
16C37×#2342C211yesmaximal, characteristic, complemented
17C37×#2337C211yesmaximal, characteristic, complemented
18C37×#2335C211yesmaximal, characteristic, complemented
19C37×#2335C211yesmaximal, characteristic, complemented
20C37×#2335C211yesmaximal, characteristic, complemented
21C37×#2334C211yesmaximal, characteristic, complemented
22C37×#2332C211yesmaximal, characteristic, complemented
23C37×#2323C211yesmaximal, characteristic, complemented
24C37×#2321C211yesmaximal, characteristic
25C37×#2318C211yesmaximal, characteristic, complemented
26C37×#2314C211yesmaximal, characteristic, complemented
27C37×#2312C211yesmaximal, characteristic, complemented
28C37×#2312C211yesmaximal, characteristic, complemented
29C4×#126×C37C211yesmaximal, characteristic, complemented
30C37×#2298C211yesmaximal, characteristic, complemented
31C37×#2293C211yesmaximal, characteristic, complemented
32C37×#551C4116yescomplemented
33C2×#126×C37C2211yescharacteristic
34C2×#126×C37C2211yescharacteristic
35C2×#124×C37C2211yescharacteristic
36C2×#123×C37C2211yescharacteristic
37C2×#123×C37C2211yescharacteristic
38C2×#123×C37C2211yescharacteristic
39C2×C22⋊Q8×C37C2211yescharacteristic
40C2×C22⋊Q8×C37C2211yescharacteristic
41C2×#120×C37C2211yescharacteristic
42C2×C4×Q8×C37C2211yescharacteristic, complemented
43C2×C4×D4×C37C2211yescharacteristic
44C2×C4×D4×C37C2211yescharacteristic
45C2×C4×D4×C37C2211yescharacteristic
46C2×#117×C37C2211yescharacteristic
47C2×#117×C37C2211yescharacteristic
48C2×#117×C37C2211yescharacteristic
49C2×#117×C37C2211yescharacteristic
50C2×#117×C37C2211yescharacteristic, complemented
51C22×C22⋊C4×C37C2211yescharacteristic
52C22×C22⋊C4×C37C2211yescharacteristic
53C22×C22⋊C4×C37C2211yescharacteristic
54C37×#391C2211yescharacteristic, complemented
55C37×#391C2211yescharacteristic, complemented
56C37×#391C2211yescharacteristic, complemented
57C37×#390C2211yescharacteristic
58C37×#390C2211yescharacteristic
59C37×#390C2211yescharacteristic
60C37×#390C2211yescharacteristic
61C37×#390C2211yescharacteristic
62C37×#389C2211yescharacteristic, complemented
63C37×#389C2211yescharacteristic, complemented
64C37×#389C2211yescharacteristic, complemented
65C37×#389C2211yescharacteristic, complemented
66C37×#389C2211yescharacteristic, complemented
67C37×#389C2211yescharacteristic, complemented
68C37×#389C2211yescharacteristic, complemented
69C37×#389C2211yescharacteristic, complemented
70C37×#388C2211yescharacteristic
71C37×#388C2211yescharacteristic
72C37×#388C2211yescharacteristic
73C37×#388C2211yescharacteristic
74C37×#388C2211yescharacteristic
75C37×#388C2211yescharacteristic
76C37×#388C2211yescharacteristic
77C37×#388C2211yescharacteristic
78C37×#388C2211yescharacteristic
79C37×#388C2211yescharacteristic
80C37×#388C2211yescharacteristic
81C37×#388C2211yescharacteristic
82C37×#388C2211yescharacteristic
83C37×#388C2211yescharacteristic
84C37×#388C2211yescharacteristic
85C37×#388C2211yescharacteristic
86C37×#388C2211yescharacteristic
87C37×#388C2211yescharacteristic
88C37×#388C2211yescharacteristic
89C37×#388C2211yescharacteristic
90C37×#388C2211yescharacteristic
91C37×#388C2211yescharacteristic
92C37×#388C2211yescharacteristic
93C37×#388C2211yescharacteristic
94C37×#388C2211yescharacteristic
95C37×#388C2211yescharacteristic
96C37×#388C2211yescharacteristic
97C37×#388C2211yescharacteristic
98C37×#388C2211yescharacteristic
99C37×#388C2211yescharacteristic
100C37×#388C2211yescharacteristic
101C37×#388C2211yescharacteristic
102C37×#388C2211yescharacteristic
103C37×#388C2211yescharacteristic
104C37×#388C2211yescharacteristic, complemented
105C37×#388C2211yescharacteristic, complemented
106C37×#388C2211yescharacteristic, complemented
107C37×#388C2211yescharacteristic, complemented
108C37×#388C2211yescharacteristic, complemented
109C37×#388C2211yescharacteristic, complemented
110C37×#387C2211yescharacteristic, complemented
111C37×#387C2211yescharacteristic, complemented
112C37×#387C2211yescharacteristic, complemented
113C37×#387C2211yescharacteristic, complemented
114C37×#387C2211yescharacteristic, complemented
115C37×#387C2211yescharacteristic, complemented
116C37×#387C2211yescharacteristic, complemented
117C37×#387C2211yescharacteristic, complemented
118C37×#387C2211yescharacteristic, complemented
119C37×#387C2211yescharacteristic, complemented
120C37×#387C2211yescharacteristic, complemented
121C37×#387C2211yescharacteristic, complemented
122C37×#387C2211yescharacteristic, complemented
123C37×#387C2211yescharacteristic, complemented
124C37×#387C2211yescharacteristic, complemented
125C37×#387C2211yescharacteristic, complemented
126C37×#386C2211yescharacteristic
127C37×#386C2211yescharacteristic
128C37×#386C2211yescharacteristic
129C37×#386C2211yescharacteristic
130C37×#386C2211yescharacteristic
131C37×#386C2211yescharacteristic
132C37×#385C2211yescharacteristic
133C37×#385C2211yescharacteristic
134C37×#385C2211yescharacteristic
135C37×#385C2211yescharacteristic
136C37×#385C2211yescharacteristic
137C37×#385C2211yescharacteristic, complemented
138C37×#385C2211yescharacteristic, complemented
139C37×#385C2211yescharacteristic, complemented
140C37×#384C2211yescharacteristic, complemented
141C37×#383C2211yescharacteristic, complemented
142C37×#383C2211yescharacteristic, complemented
143C37×#383C2211yescharacteristic, complemented
144C37×#382C2211yescharacteristic, complemented
145C37×#381C2211yescharacteristic
146C37×#381C2211yescharacteristic
147C37×#380C2211yescharacteristic
148C37×#380C2211yescharacteristic
149C37×#380C2211yescharacteristic
150C37×#380C2211yescharacteristic
151C37×#380C2211yescharacteristic
152C37×#380C2211yescharacteristic
153C37×#380C2211yescharacteristic, complemented
154C37×#379C2211yescharacteristic
155C37×#379C2211yescharacteristic
156C37×#379C2211yescharacteristic
157C4×C4⋊C4×C37C2211yescharacteristic, complemented
158C4×C4⋊C4×C37C2211yescharacteristic, complemented
159C4×C4⋊C4×C37C2211yescharacteristic, complemented
160C4×C4⋊C4×C37C2211yescharacteristic, complemented
161C4×C4⋊C4×C37C2211yescharacteristic, complemented
162C4×C4⋊C4×C37C2211yescharacteristic, complemented
163C4×C4⋊C4×C37C2211yescharacteristic, complemented
164C4×C4⋊C4×C37C2211yescharacteristic, complemented
165C4×C4⋊C4×C37C2211yescharacteristic, complemented
166C4×C4⋊C4×C37C2211yescharacteristic, complemented
167C4×C4⋊C4×C37C2211yescharacteristic, complemented
168C4×C4⋊C4×C37C2211yescharacteristic, complemented
169C4×C4⋊C4×C37C2211yescharacteristic, complemented
170C4×C22⋊C4×C37C2211yescharacteristic
171C4×C22⋊C4×C37C2211yescharacteristic
172C4×C22⋊C4×C37C2211yescharacteristic
173C4×C22⋊C4×C37C2211yescharacteristic
174C4×C22⋊C4×C37C2211yescharacteristic
175C4×C22⋊C4×C37C2211yescharacteristic
176C4×C22⋊C4×C37C2211yescharacteristic
177C4×C22⋊C4×C37C2211yescharacteristic
178C4×C22⋊C4×C37C2211yescharacteristic
179C4×C22⋊C4×C37C2211yescharacteristic
180C4×C22⋊C4×C37C2211yescharacteristic
181C4×C22⋊C4×C37C2211yescharacteristic, complemented
182C4×C22⋊C4×C37C2211yescharacteristic, complemented
183C4×C22⋊C4×C37C2211yescharacteristic, complemented
184C4×C22⋊C4×C37C2211yescharacteristic, complemented
185C37×#376C2211yescharacteristic, complemented
186C2×#95×C37C2211yescharacteristic, complemented
187C43×C37C2211yescharacteristic, complemented
188C25×C37C2311yescharacteristic
189C22×Q8×C37C2311yescharacteristic
190C22×D4×C37C2311yescharacteristic
191C22×D4×C37C2311yescharacteristic
192C22×D4×C37C2311yescharacteristic
193C23×C4×C37C2311yescharacteristic
194C23×C4×C37C2311yescharacteristic
195C23×C4×C37C2311yescharacteristic
196C23×C4×C37C2311yescharacteristic
197C23×C4×C37C2311yescharacteristic
198C23×C4×C37C2311yescharacteristic
199C23×C4×C37C2311yescharacteristic
200C23×C4×C37C2311yescharacteristic
201C23×C4×C37C2311yescharacteristic
202#126×C37C2×C418yescomplemented
203#126×C37C2×C418yescomplemented
204#124×C37C2×C418yes—
205#123×C37C2×C418yes—
206#123×C37C2×C418yescomplemented
207#123×C37C2×C418yescomplemented
208C22⋊Q8×C37C2×C418yescomplemented
209C22⋊Q8×C37C2×C418yescomplemented
210#120×C37C2×C418yes—
211C4×Q8×C37—42no—
212C4×D4×C37—42no—
213C4×D4×C37C2×C418yescomplemented
214C4×D4×C37C2×C418yescomplemented
215#117×C37—42no—
216#117×C37—42no—
217#117×C37—42no—
218#117×C37C2×C418yescomplemented
219#117×C37C2×C418yescomplemented
220C2×C4⋊C4×C37C2311yescharacteristic
221C2×C4⋊C4×C37C2311yescharacteristic
222C2×C4⋊C4×C37C2311yescharacteristic
223C2×C4⋊C4×C37C2311yescharacteristic
224C2×C4⋊C4×C37C2311yescharacteristic
225C2×C4⋊C4×C37C2311yescharacteristic
226C2×C4⋊C4×C37C2311yescharacteristic
227C2×C4⋊C4×C37C2311yescharacteristic
228C2×C4⋊C4×C37C2311yescharacteristic
229C2×C4⋊C4×C37C2311yescharacteristic
230C2×C4⋊C4×C37C2311yescharacteristic
231C2×C4⋊C4×C37C2311yescharacteristic
232C2×C4⋊C4×C37C2311yescharacteristic
233C2×C4⋊C4×C37C2311yescharacteristic
234C2×C4⋊C4×C37C2311yescharacteristic
235C2×C4⋊C4×C37C2311yescharacteristic
236C2×C4⋊C4×C37C2311yescharacteristic
237C2×C4⋊C4×C37C2311yescharacteristic
238C2×C4⋊C4×C37C2311yescharacteristic
239C2×C4⋊C4×C37C2311yescharacteristic
240C2×C4⋊C4×C37C2311yescharacteristic
241C2×C4⋊C4×C37C2311yescharacteristic
242C2×C4⋊C4×C37C2311yescharacteristic
243C2×C4⋊C4×C37C2311yescharacteristic
244C2×C4⋊C4×C37C2311yescharacteristic
245C2×C4⋊C4×C37C2311yescharacteristic
246C2×C4⋊C4×C37C2311yescharacteristic
247C2×C4⋊C4×C37C2311yescharacteristic
248C2×C4⋊C4×C37C2311yescharacteristic
249C2×C4⋊C4×C37C2311yescharacteristic
250C2×C22⋊C4×C37—42no—
251C2×C22⋊C4×C37C2×C418yescomplemented
252C2×C22⋊C4×C37C2×C418yescomplemented
253C2×C22⋊C4×C37C2311yescharacteristic
254C2×C22⋊C4×C37C2311yescharacteristic
255C2×C22⋊C4×C37C2311yescharacteristic
256C2×C22⋊C4×C37C2311yescharacteristic
257C2×C22⋊C4×C37C2311yescharacteristic
258C2×C22⋊C4×C37C2311yescharacteristic
259C2×C22⋊C4×C37C2311yescharacteristic
260C2×C22⋊C4×C37C2311yescharacteristic
261C2×C22⋊C4×C37C2311yescharacteristic
262C2×C22⋊C4×C37C2311yescharacteristic
263C2×C22⋊C4×C37C2311yescharacteristic
264C2×C22⋊C4×C37C2311yescharacteristic
265C2×C22⋊C4×C37C2311yescharacteristic
266C2×C22⋊C4×C37C2311yescharacteristic
267C2×C22⋊C4×C37C2311yescharacteristic
268C2×C22⋊C4×C37C2311yescharacteristic
269C2×C22⋊C4×C37C2311yescharacteristic
270C2×C22⋊C4×C37C2311yescharacteristic
271C2×C22⋊C4×C37C2311yescharacteristic
272C2×C22⋊C4×C37C2311yescharacteristic
273C2×C22⋊C4×C37C2311yescharacteristic
274C2×C22⋊C4×C37C2311yescharacteristic
275C2×C22⋊C4×C37C2311yescharacteristic
276C2×C22⋊C4×C37C2311yescharacteristic
277C2×C22⋊C4×C37C2311yescharacteristic
278C2×C22⋊C4×C37C2311yescharacteristic
279C2×C22⋊C4×C37C2311yescharacteristic
280C2×C22⋊C4×C37C2311yescharacteristic
281C2×C22⋊C4×C37C2311yescharacteristic
282C2×C22⋊C4×C37C2311yescharacteristic
283C2×C22⋊C4×C37C2311yescharacteristic
284C2×C22⋊C4×C37C2311yescharacteristic
285C2×C22⋊C4×C37C2311yescharacteristic
286C2×C22⋊C4×C37C2311yescharacteristic
287C2×C22⋊C4×C37C2311yescharacteristic
288C2×C22⋊C4×C37C2311yescharacteristic
289C2×C22⋊C4×C37C2311yescharacteristic
290C2×C22⋊C4×C37C2311yescharacteristic
291C2×C22⋊C4×C37C2311yescharacteristic
292C2×C22⋊C4×C37C2311yescharacteristic
293C2×C22⋊C4×C37C2311yescharacteristic
294C2×C22⋊C4×C37C2311yescharacteristic
295C2×C42×C37C2311yescharacteristic
296C2×C42×C37C2311yescharacteristic
297C2×C42×C37C2311yescharacteristic
298C2×C42×C37C2311yescharacteristic
299C2×C42×C37C2311yescharacteristic
300C2×C42×C37C2311yescharacteristic
301C2×C42×C37C2311yescharacteristic
302C2×C42×C37C2311yescharacteristic
303C2×C42×C37C2311yescharacteristic
304C2×C42×C37C2311yescharacteristic
305C2×C42×C37C2311yescharacteristic
306C2×C42×C37C2311yescharacteristic
307C2×C42×C37C2311yescharacteristic
308C2×C42×C37C2311yescharacteristic
309C2×C42×C37C2311yescharacteristic
310C2×C42×C37C2311yescharacteristic
311C2×C42×C37C2311yescharacteristic
312C2×C42×C37C2311yescharacteristic
313C2×C42×C37C2311yescharacteristic
314C2×C42×C37C2311yescharacteristic
315C2×C42×C37C2311yescharacteristic
316C2×C42×C37C2311yescharacteristic
317C2×C42×C37C2311yescharacteristic
318C2×C42×C37C2311yescharacteristic
319C2×C42×C37C2311yescharacteristic
320#95×C37C2311yescharacteristic
321#95×C37C2311yescharacteristic
322#95×C37C2311yescharacteristic
323#95×C37C2311yescharacteristic
324#95×C37C2311yescharacteristic
325#95×C37C2311yescharacteristic
326#95×C37C2311yescharacteristic
327#95×C37C2311yescharacteristic
328#95×C37C2311yescharacteristic
329#95×C37C2311yescharacteristic
330#95×C37C2311yescharacteristic
331#95×C37C2311yescharacteristic
332#95×C37C2311yescharacteristic
333#95×C37C2311yescharacteristic
334#95×C37C2311yescharacteristic
335#95×C37C2311yescharacteristic
336#95×C37C2311yescharacteristic
337#95×C37C2311yescharacteristic
338#95×C37C2311yescharacteristic
339#95×C37C2311yescharacteristic
340#95×C37C2311yescharacteristic
341#95×C37C2311yescharacteristic
342#95×C37C2311yescharacteristic
343#95×C37C2311yescharacteristic
344#95×C37C2311yescharacteristic
345#95×C37C2311yescharacteristic
346#95×C37C2311yescharacteristic
347#95×C37C2311yescharacteristic
348#95×C37C2311yescharacteristic
349#95×C37C2311yescharacteristic
350#95×C37C2311yescharacteristic
351#95×C37C2311yescharacteristic
352#95×C37C2311yescharacteristic
353#95×C37C2311yescharacteristic
354#95×C37C2311yescharacteristic
355#95×C37C2311yescharacteristic
356#95×C37C2311yescharacteristic
357#95×C37C2311yescharacteristic
358#95×C37C2311yescharacteristic
359#95×C37C2311yescharacteristic
360#95×C37C2311yescharacteristic
361#95×C37C2311yescharacteristic
362#95×C37C2311yescharacteristic
363#95×C37C2311yescharacteristic
364C24×C37—41no—
365C24×C37—41no—
366C24×C37—41no—
367C24×C37—41no—
368C24×C37—41no—
369C24×C37—41no—
370C24×C37C22×C414yes—
371C24×C37C2411yescharacteristic
372C24×C37C2411yescharacteristic
373C24×C37C2411yescharacteristic
374C24×C37C2411yescharacteristic
375C2×Q8×C37—41no—
376C2×Q8×C37—41no—
377C2×Q8×C37C22×C414yes—
378C2×D4×C37—41no—
379C2×D4×C37—41no—
380C2×D4×C37—41no—
381C2×D4×C37—41no—
382C2×D4×C37—41no—
383C2×D4×C37—41no—
384C2×D4×C37C22×C414yes—
385C2×D4×C37C22×C414yes—
386C2×D4×C37C22×C414yes—
387C22×C4×C37—22no—
388C22×C4×C37—41no—
389C22×C4×C37—41no—
390C22×C4×C37—41no—
391C22×C4×C37—41no—
392C22×C4×C37—41no—
393C22×C4×C37—41no—
394C22×C4×C37—41no—
395C22×C4×C37—41no—
396C22×C4×C37—41no—
397C22×C4×C37—41no—
398C22×C4×C37—41no—
399C22×C4×C37—41no—
400C22×C4×C37—41no—
401C22×C4×C37—41no—
402C22×C4×C37—41no—
403C22×C4×C37—41no—
404C22×C4×C37—41no—
405C22×C4×C37—41no—
406C22×C4×C37—41no—
407C22×C4×C37—41no—
408C22×C4×C37—41no—
409C22×C4×C37C22×C414yes—
410C22×C4×C37C22×C414yes—
411C22×C4×C37C22×C414yes—
412C22×C4×C37C22×C414yes—
413C22×C4×C37C22×C414yes—
414C22×C4×C37C2411yescharacteristic
415C22×C4×C37C2411yescharacteristic
416C22×C4×C37C2411yescharacteristic
417C22×C4×C37C2411yescharacteristic
418C22×C4×C37C2411yescharacteristic
419C22×C4×C37C2411yescharacteristic
420C22×C4×C37C2411yescharacteristic
421C22×C4×C37C2411yescharacteristic
422C22×C4×C37C2411yescharacteristic
423C22×C4×C37C2411yescharacteristic
424C22×C4×C37C2411yescharacteristic
425C22×C4×C37C2411yescharacteristic
426C22×C4×C37C2411yescharacteristic
427C22×C4×C37C2411yescharacteristic
428C22×C4×C37C2411yescharacteristic
429C22×C4×C37C2411yescharacteristic
430C22×C4×C37C2411yescharacteristic
431C22×C4×C37C2411yescharacteristic
432C22×C4×C37C2411yescharacteristic
433C22×C4×C37C2411yescharacteristic
434C22×C4×C37C2411yescharacteristic
435C22×C4×C37C2411yescharacteristic
436C22×C4×C37C2411yescharacteristic
437C22×C4×C37C2411yescharacteristic
438C22×C4×C37C2411yescharacteristic
439C22×C4×C37C2411yescharacteristic
440C22×C4×C37C2411yescharacteristic
441C4⋊C4×C37—22no—
442C4⋊C4×C37—22no—
443C4⋊C4×C37—22no—
444C4⋊C4×C37—41no—
445C4⋊C4×C37—41no—
446C4⋊C4×C37—41no—
447C4⋊C4×C37—41no—
448C4⋊C4×C37—41no—
449C4⋊C4×C37—41no—
450C4⋊C4×C37—41no—
451C4⋊C4×C37—41no—
452C4⋊C4×C37—41no—
453C4⋊C4×C37—41no—
454C4⋊C4×C37—41no—
455C4⋊C4×C37—41no—
456C4⋊C4×C37—41no—
457C4⋊C4×C37—41no—
458C4⋊C4×C37—41no—
459C4⋊C4×C37—41no—
460C4⋊C4×C37—41no—
461C4⋊C4×C37—41no—
462C4⋊C4×C37—41no—
463C4⋊C4×C37C22×C414yes—
464C4⋊C4×C37C22×C414yes—
465C4⋊C4×C37C22×C414yes—
466C4⋊C4×C37C22×C414yes—
467C4⋊C4×C37C22×C414yes—
468C4⋊C4×C37C22×C414yes—
469C4⋊C4×C37C22×C414yes—
470C4⋊C4×C37C22×C414yes—
471C22⋊C4×C37—22no—
472C22⋊C4×C37—22no—
473C22⋊C4×C37—22no—
474C22⋊C4×C37—41no—
475C22⋊C4×C37—41no—
476C22⋊C4×C37—41no—
477C22⋊C4×C37—41no—
478C22⋊C4×C37—41no—
479C22⋊C4×C37—41no—
480C22⋊C4×C37—41no—
481C22⋊C4×C37—41no—
482C22⋊C4×C37—41no—
483C22⋊C4×C37—41no—
484C22⋊C4×C37—41no—
485C22⋊C4×C37—41no—
486C22⋊C4×C37—41no—
487C22⋊C4×C37—41no—
488C22⋊C4×C37—41no—
489C22⋊C4×C37—41no—
490C22⋊C4×C37—41no—
491C22⋊C4×C37—41no—
492C22⋊C4×C37—41no—
493C22⋊C4×C37—41no—
494C22⋊C4×C37—41no—
495C22⋊C4×C37—41no—
496C22⋊C4×C37—41no—
497C22⋊C4×C37—41no—
498C22⋊C4×C37—41no—
499C22⋊C4×C37C22×C414yes—
500C22⋊C4×C37C22×C414yes—
501C22⋊C4×C37C22×C414yes—
502C22⋊C4×C37C22×C414yes—
503C22⋊C4×C37C22×C414yes—
504C22⋊C4×C37C22×C414yes—
505C22⋊C4×C37C22×C414yes—
506C22⋊C4×C37C22×C414yes—
507C22⋊C4×C37C22×C414yes—
508C22⋊C4×C37C22×C414yes—
509C22⋊C4×C37C22×C414yes—
510C22⋊C4×C37C22×C414yes—
511C22⋊C4×C37C22×C414yes—
512C22⋊C4×C37C22×C414yes—
513C42×C37—22no—
514C42×C37—22no—
515C42×C37—41no—
516C42×C37—41no—
517C42×C37—41no—
518C42×C37—41no—
519C42×C37—41no—
520C42×C37—41no—
521C42×C37—41no—
522C42×C37—41no—
523C42×C37—41no—
524C42×C37—41no—
525C42×C37—41no—
526C42×C37—41no—
527C42×C37—41no—
528C42×C37—41no—
529C42×C37—41no—
530C42×C37—41no—
531C42×C37—41no—
532C42×C37—41no—
533C42×C37—41no—
534C42×C37—41no—
535C42×C37C22×C414yes—
536C42×C37C22×C414yes—
537C42×C37C22×C414yes—
538C23×C37—21no—
539C23×C37—21no—
540C23×C37—21no—
541C23×C37—21no—
542C23×C37—21no—
543C23×C37—21no—
544C23×C37—21no—
545C23×C37—21no—
546C23×C37—21no—
547C23×C37—21no—
548C23×C37—21no—
549C23×C37—21no—
550C23×C37—21no—
551C23×C37—21no—
552C23×C37—21no—
553C23×C37—21no—
554C23×C37—21no—
555C23×C37—21no—
556C23×C37—21no—
557C23×C37—21no—
558C23×C37—21no—
559C23×C37—21no—
560C23×C37—21no—
561C23×C37—21no—
562C23×C37—44no—
563C23×C37—44no—
564C23×C37—44no—
565C23×C37—82no—
566C23×C37—82no—
567C23×C37—82no—
568C23×C37—82no—
569C23×C37C23×C412yes—
570C23×C37C23×C412yes—
571C23×C37C23×C412yes—
572C23×C37C23×C412yes—
573C23×C37C2511yescharacteristic
574Q8×C37—44no—
575D4×C37—44no—
576D4×C37—44no—
577D4×C37—44no—
578C2×C4×C37—21no—
579C2×C4×C37—21no—
580C2×C4×C37—21no—
581C2×C4×C37—21no—
582C2×C4×C37—21no—
583C2×C4×C37—21no—
584C2×C4×C37—21no—
585C2×C4×C37—21no—
586C2×C4×C37—21no—
587C2×C4×C37—21no—
588C2×C4×C37—21no—
589C2×C4×C37—21no—
590C2×C4×C37—21no—
591C2×C4×C37—21no—
592C2×C4×C37—21no—
593C2×C4×C37—21no—
594C2×C4×C37—21no—
595C2×C4×C37—21no—
596C2×C4×C37—21no—
597C2×C4×C37—21no—
598C2×C4×C37—21no—
599C2×C4×C37—21no—
600C2×C4×C37—21no—
601C2×C4×C37—21no—
602C2×C4×C37—21no—
603C2×C4×C37—21no—
604C2×C4×C37—21no—
605C2×C4×C37—21no—
606C2×C4×C37—21no—
607C2×C4×C37—21no—
608C2×C4×C37—21no—
609C2×C4×C37—21no—
610C2×C4×C37—21no—
611C2×C4×C37—21no—
612C2×C4×C37—21no—
613C2×C4×C37—21no—
614C2×C4×C37—21no—
615C2×C4×C37—21no—
616C2×C4×C37—21no—
617C2×C4×C37—21no—
618C2×C4×C37—21no—
619C2×C4×C37—21no—
620C2×C4×C37—21no—
621C2×C4×C37—21no—
622C2×C4×C37—21no—
623C2×C4×C37—21no—
624C2×C4×C37—21no—
625C2×C4×C37—21no—
626C2×C4×C37—21no—
627C2×C4×C37—21no—
628C2×C4×C37—21no—
629C2×C4×C37—21no—
630C2×C4×C37—21no—
631C2×C4×C37—21no—
632C2×C4×C37—21no—
633C2×C4×C37—21no—
634C2×C4×C37—21no—
635C2×C4×C37—21no—
636C2×C4×C37—21no—
637C2×C4×C37—21no—
638C2×C4×C37—21no—
639C2×C4×C37—21no—
640C2×C4×C37—21no—
641C2×C4×C37—21no—
642C2×C4×C37—21no—
643C2×C4×C37—21no—
644C2×C4×C37—21no—
645C2×C4×C37—21no—
646C2×C4×C37—21no—
647C2×C4×C37—44no—
648C2×C4×C37—44no—
649C2×C4×C37—44no—
650C2×C4×C37—44no—
651C2×C4×C37—44no—
652C2×C4×C37—82no—
653C2×C4×C37—82no—
654C2×C4×C37—82no—
655C2×C4×C37—82no—
656C2×C4×C37C23×C412yes—
657C2×C4×C37C23×C412yes—
658C2×C4×C37C23×C412yes—
659C2×C4×C37C23×C412yes—
660C2×C4×C37C23×C412yes—
661C2×C4×C37C23×C412yes—
662C2×C4×C37C23×C412yes—
663C2×C4×C37C23×C412yes—
664C2×C4×C37C23×C412yes—
665C2×C4×C37C23×C412yes—
666C2×C4×C37C23×C412yes—
667C2×C4×C37H(5,𝔽2)12yes—
668#34504C3711yesmaximal, characteristic, direct product factor, Sylow
669C22×C37—22no—
670C22×C37—22no—
671C22×C37—22no—
672C22×C37—22no—
673C22×C37—22no—
674C22×C37—22no—
675C22×C37—22no—
676C22×C37—22no—
677C22×C37—22no—
678C22×C37—22no—
679C22×C37—22no—
680C22×C37—22no—
681C22×C37—41no—
682C22×C37—41no—
683C22×C37—41no—
684C22×C37—41no—
685C22×C37—41no—
686C22×C37—41no—
687C22×C37—41no—
688C22×C37—41no—
689C22×C37—41no—
690C22×C37—41no—
691C22×C37—41no—
692C22×C37—41no—
693C22×C37—41no—
694C22×C37—41no—
695C22×C37—41no—
696C22×C37—41no—
697C22×C37—88no—
698C22×C37C24×C411yescharacteristic
699C22×C37C2×H(5,𝔽2)11yescharacteristic
700C22×C37#58511yescharacteristic
701C22×C37#58511yescharacteristic
702C22×C37#58511yescharacteristic
703C22×C37#58511yescharacteristic
704C22×C37#58511yescharacteristic
705C4×C37—22no—
706C4×C37—22no—
707C4×C37—22no—
708C4×C37—22no—
709C4×C37—22no—
710C4×C37—22no—
711C4×C37—22no—
712C4×C37—22no—
713C4×C37—22no—
714C4×C37—22no—
715C4×C37—22no—
716C4×C37—22no—
717C4×C37—41no—
718C4×C37—41no—
719C4×C37—41no—
720C4×C37—41no—
721C4×C37—41no—
722C4×C37—41no—
723C4×C37—41no—
724C4×C37—41no—
725C4×C37—41no—
726C4×C37—41no—
727C4×C37—41no—
728C4×C37—41no—
729C4×C37—41no—
730C4×C37—41no—
731C4×C37—41no—
732C2×#551C2×C3711yescharacteristic
733#2383C2×C3711yescharacteristic, complemented
734#2378C2×C3711yescharacteristic, complemented
735#2376C2×C3711yescharacteristic, complemented
736#2375C2×C3711yescharacteristic
737#2374C2×C3711yescharacteristic, complemented
738#2373C2×C3711yescharacteristic, complemented
739#2367C2×C3711yescharacteristic, complemented
740#2362C2×C3711yescharacteristic, complemented
741#2359C2×C3711yescharacteristic, complemented
742#2354C2×C3711yescharacteristic, complemented
743#2353C2×C3711yescharacteristic, complemented
744#2347C2×C3711yescharacteristic, complemented
745#2347C2×C3711yescharacteristic, complemented
746#2342C2×C3711yescharacteristic, complemented
747#2342C2×C3711yescharacteristic, complemented
748#2337C2×C3711yescharacteristic, complemented
749#2335C2×C3711yescharacteristic, complemented
750#2335C2×C3711yescharacteristic, complemented
751#2335C2×C3711yescharacteristic, complemented
752#2334C2×C3711yescharacteristic, complemented
753#2332C2×C3711yescharacteristic, complemented
754#2323C2×C3711yescharacteristic, complemented
755#2321C2×C3711yescharacteristic
756#2318C2×C3711yescharacteristic, complemented
757#2314C2×C3711yescharacteristic, complemented
758#2312C2×C3711yescharacteristic, complemented
759#2312C2×C3711yescharacteristic, complemented
760C4×#126C2×C3711yescharacteristic, complemented
761#2298C2×C3711yescharacteristic, complemented
762#2293C2×C3711yescharacteristic, complemented
763C2×C37—42no—
764C2×C37—42no—
765C2×C37—42no—
766C2×C37—42no—
767C2×C37#342811yescharacteristic
768C2×C37#342811yescharacteristic
769C2×C37C4×H(5,𝔽2)11yescharacteristic
770C2×C37#356011yescharacteristic
771C2×C37#356211yescharacteristic
772C2×C37#356611yescharacteristic
773C2×C37#356811yescharacteristic
774#551C4×C37116yescomplemented
775C2×#126C22×C3711yescharacteristic
776C2×#126C22×C3711yescharacteristic
777C2×#124C22×C3711yescharacteristic
778C2×#123C22×C3711yescharacteristic
779C2×#123C22×C3711yescharacteristic
780C2×#123C22×C3711yescharacteristic
781C2×C22⋊Q8C22×C3711yescharacteristic
782C2×C22⋊Q8C22×C3711yescharacteristic
783C2×#120C22×C3711yescharacteristic
784C2×C4×Q8C22×C3711yescharacteristic, complemented
785C2×C4×D4C22×C3711yescharacteristic
786C2×C4×D4C22×C3711yescharacteristic
787C2×C4×D4C22×C3711yescharacteristic
788C2×#117C22×C3711yescharacteristic
789C2×#117C22×C3711yescharacteristic
790C2×#117C22×C3711yescharacteristic
791C2×#117C22×C3711yescharacteristic
792C2×#117C22×C3711yescharacteristic, complemented
793C22×C22⋊C4C22×C3711yescharacteristic
794C22×C22⋊C4C22×C3711yescharacteristic
795C22×C22⋊C4C22×C3711yescharacteristic
796#391C22×C3711yescharacteristic, complemented
797#391C22×C3711yescharacteristic, complemented
798#391C22×C3711yescharacteristic, complemented
799#390C22×C3711yescharacteristic
800#390C22×C3711yescharacteristic
801#390C22×C3711yescharacteristic
802#390C22×C3711yescharacteristic
803#390C22×C3711yescharacteristic
804#389C22×C3711yescharacteristic, complemented
805#389C22×C3711yescharacteristic, complemented
806#389C22×C3711yescharacteristic, complemented
807#389C22×C3711yescharacteristic, complemented
808#389C22×C3711yescharacteristic, complemented
809#389C22×C3711yescharacteristic, complemented
810#389C22×C3711yescharacteristic, complemented
811#389C22×C3711yescharacteristic, complemented
812#388C22×C3711yescharacteristic
813#388C22×C3711yescharacteristic
814#388C22×C3711yescharacteristic
815#388C22×C3711yescharacteristic
816#388C22×C3711yescharacteristic
817#388C22×C3711yescharacteristic
818#388C22×C3711yescharacteristic
819#388C22×C3711yescharacteristic
820#388C22×C3711yescharacteristic
821#388C22×C3711yescharacteristic
822#388C22×C3711yescharacteristic
823#388C22×C3711yescharacteristic
824#388C22×C3711yescharacteristic
825#388C22×C3711yescharacteristic
826#388C22×C3711yescharacteristic
827#388C22×C3711yescharacteristic
828#388C22×C3711yescharacteristic
829#388C22×C3711yescharacteristic
830#388C22×C3711yescharacteristic
831#388C22×C3711yescharacteristic
832#388C22×C3711yescharacteristic
833#388C22×C3711yescharacteristic
834#388C22×C3711yescharacteristic
835#388C22×C3711yescharacteristic
836#388C22×C3711yescharacteristic
837#388C22×C3711yescharacteristic
838#388C22×C3711yescharacteristic
839#388C22×C3711yescharacteristic
840#388C22×C3711yescharacteristic
841#388C22×C3711yescharacteristic
842#388C22×C3711yescharacteristic
843#388C22×C3711yescharacteristic
844#388C22×C3711yescharacteristic
845#388C22×C3711yescharacteristic
846#388C22×C3711yescharacteristic, complemented
847#388C22×C3711yescharacteristic, complemented
848#388C22×C3711yescharacteristic, complemented
849#388C22×C3711yescharacteristic, complemented
850#388C22×C3711yescharacteristic, complemented
851#388C22×C3711yescharacteristic, complemented
852#387C22×C3711yescharacteristic, complemented
853#387C22×C3711yescharacteristic, complemented
854#387C22×C3711yescharacteristic, complemented
855#387C22×C3711yescharacteristic, complemented
856#387C22×C3711yescharacteristic, complemented
857#387C22×C3711yescharacteristic, complemented
858#387C22×C3711yescharacteristic, complemented
859#387C22×C3711yescharacteristic, complemented
860#387C22×C3711yescharacteristic, complemented
861#387C22×C3711yescharacteristic, complemented
862#387C22×C3711yescharacteristic, complemented
863#387C22×C3711yescharacteristic, complemented
864#387C22×C3711yescharacteristic, complemented
865#387C22×C3711yescharacteristic, complemented
866#387C22×C3711yescharacteristic, complemented
867#387C22×C3711yescharacteristic, complemented
868#386C22×C3711yescharacteristic
869#386C22×C3711yescharacteristic
870#386C22×C3711yescharacteristic
871#386C22×C3711yescharacteristic
872#386C22×C3711yescharacteristic
873#386C22×C3711yescharacteristic
874#385C22×C3711yescharacteristic
875#385C22×C3711yescharacteristic
876#385C22×C3711yescharacteristic
877#385C22×C3711yescharacteristic
878#385C22×C3711yescharacteristic
879#385C22×C3711yescharacteristic, complemented
880#385C22×C3711yescharacteristic, complemented
881#385C22×C3711yescharacteristic, complemented
882#384C22×C3711yescharacteristic, complemented
883#383C22×C3711yescharacteristic, complemented
884#383C22×C3711yescharacteristic, complemented
885#383C22×C3711yescharacteristic, complemented
886#382C22×C3711yescharacteristic, complemented
887#381C22×C3711yescharacteristic
888#381C22×C3711yescharacteristic
889#380C22×C3711yescharacteristic
890#380C22×C3711yescharacteristic
891#380C22×C3711yescharacteristic
892#380C22×C3711yescharacteristic
893#380C22×C3711yescharacteristic
894#380C22×C3711yescharacteristic
895#380C22×C3711yescharacteristic, complemented
896#379C22×C3711yescharacteristic
897#379C22×C3711yescharacteristic
898#379C22×C3711yescharacteristic
899C4×C4⋊C4C22×C3711yescharacteristic, complemented
900C4×C4⋊C4C22×C3711yescharacteristic, complemented
901C4×C4⋊C4C22×C3711yescharacteristic, complemented
902C4×C4⋊C4C22×C3711yescharacteristic, complemented
903C4×C4⋊C4C22×C3711yescharacteristic, complemented
904C4×C4⋊C4C22×C3711yescharacteristic, complemented
905C4×C4⋊C4C22×C3711yescharacteristic, complemented
906C4×C4⋊C4C22×C3711yescharacteristic, complemented
907C4×C4⋊C4C22×C3711yescharacteristic, complemented
908C4×C4⋊C4C22×C3711yescharacteristic, complemented
909C4×C4⋊C4C22×C3711yescharacteristic, complemented
910C4×C4⋊C4C22×C3711yescharacteristic, complemented
911C4×C4⋊C4C22×C3711yescharacteristic, complemented
912C4×C22⋊C4C22×C3711yescharacteristic
913C4×C22⋊C4C22×C3711yescharacteristic
914C4×C22⋊C4C22×C3711yescharacteristic
915C4×C22⋊C4C22×C3711yescharacteristic
916C4×C22⋊C4C22×C3711yescharacteristic
917C4×C22⋊C4C22×C3711yescharacteristic
918C4×C22⋊C4C22×C3711yescharacteristic
919C4×C22⋊C4C22×C3711yescharacteristic
920C4×C22⋊C4C22×C3711yescharacteristic
921C4×C22⋊C4C22×C3711yescharacteristic
922C4×C22⋊C4C22×C3711yescharacteristic
923C4×C22⋊C4C22×C3711yescharacteristic, complemented
924C4×C22⋊C4C22×C3711yescharacteristic, complemented
925C4×C22⋊C4C22×C3711yescharacteristic, complemented
926C4×C22⋊C4C22×C3711yescharacteristic, complemented
927#376C22×C3711yescharacteristic, complemented
928C2×#95C22×C3711yescharacteristic, complemented
929C43C22×C3711yescharacteristic, complemented
930C37#3450411yescharacteristic, direct product factor, Sylow
931C25C23×C3711yescharacteristic
932C22×Q8C23×C3711yescharacteristic
933C22×D4C23×C3711yescharacteristic
934C22×D4C23×C3711yescharacteristic
935C22×D4C23×C3711yescharacteristic
936C23×C4C23×C3711yescharacteristic
937C23×C4C23×C3711yescharacteristic
938C23×C4C23×C3711yescharacteristic
939C23×C4C23×C3711yescharacteristic
940C23×C4C23×C3711yescharacteristic
941C23×C4C23×C3711yescharacteristic
942C23×C4C23×C3711yescharacteristic
943C23×C4C23×C3711yescharacteristic
944C23×C4C23×C3711yescharacteristic
945#126C2×C4×C3718yescomplemented
946#126C2×C4×C3718yescomplemented
947#124C2×C4×C3718yes—
948#123C2×C4×C3718yes—
949#123C2×C4×C3718yescomplemented
950#123C2×C4×C3718yescomplemented
951C22⋊Q8C2×C4×C3718yescomplemented
952C22⋊Q8C2×C4×C3718yescomplemented
953#120C2×C4×C3718yes—
954C4×Q8—42no—
955C4×D4—42no—
956C4×D4C2×C4×C3718yescomplemented
957C4×D4C2×C4×C3718yescomplemented
958#117—42no—
959#117—42no—
960#117—42no—
961#117C2×C4×C3718yescomplemented
962#117C2×C4×C3718yescomplemented
963C2×C4⋊C4C23×C3711yescharacteristic
964C2×C4⋊C4C23×C3711yescharacteristic
965C2×C4⋊C4C23×C3711yescharacteristic
966C2×C4⋊C4C23×C3711yescharacteristic
967C2×C4⋊C4C23×C3711yescharacteristic
968C2×C4⋊C4C23×C3711yescharacteristic
969C2×C4⋊C4C23×C3711yescharacteristic
970C2×C4⋊C4C23×C3711yescharacteristic
971C2×C4⋊C4C23×C3711yescharacteristic
972C2×C4⋊C4C23×C3711yescharacteristic
973C2×C4⋊C4C23×C3711yescharacteristic
974C2×C4⋊C4C23×C3711yescharacteristic
975C2×C4⋊C4C23×C3711yescharacteristic
976C2×C4⋊C4C23×C3711yescharacteristic
977C2×C4⋊C4C23×C3711yescharacteristic
978C2×C4⋊C4C23×C3711yescharacteristic
979C2×C4⋊C4C23×C3711yescharacteristic
980C2×C4⋊C4C23×C3711yescharacteristic
981C2×C4⋊C4C23×C3711yescharacteristic
982C2×C4⋊C4C23×C3711yescharacteristic
983C2×C4⋊C4C23×C3711yescharacteristic
984C2×C4⋊C4C23×C3711yescharacteristic
985C2×C4⋊C4C23×C3711yescharacteristic
986C2×C4⋊C4C23×C3711yescharacteristic
987C2×C4⋊C4C23×C3711yescharacteristic
988C2×C4⋊C4C23×C3711yescharacteristic
989C2×C4⋊C4C23×C3711yescharacteristic
990C2×C4⋊C4C23×C3711yescharacteristic
991C2×C4⋊C4C23×C3711yescharacteristic
992C2×C4⋊C4C23×C3711yescharacteristic
993C2×C22⋊C4—42no—
994C2×C22⋊C4C2×C4×C3718yescomplemented
995C2×C22⋊C4C2×C4×C3718yescomplemented
996C2×C22⋊C4C23×C3711yescharacteristic
997C2×C22⋊C4C23×C3711yescharacteristic
998C2×C22⋊C4C23×C3711yescharacteristic
999C2×C22⋊C4C23×C3711yescharacteristic
1000C2×C22⋊C4C23×C3711yescharacteristic
1001C2×C22⋊C4C23×C3711yescharacteristic
1002C2×C22⋊C4C23×C3711yescharacteristic
1003C2×C22⋊C4C23×C3711yescharacteristic
1004C2×C22⋊C4C23×C3711yescharacteristic
1005C2×C22⋊C4C23×C3711yescharacteristic
1006C2×C22⋊C4C23×C3711yescharacteristic
1007C2×C22⋊C4C23×C3711yescharacteristic
1008C2×C22⋊C4C23×C3711yescharacteristic
1009C2×C22⋊C4C23×C3711yescharacteristic
1010C2×C22⋊C4C23×C3711yescharacteristic
1011C2×C22⋊C4C23×C3711yescharacteristic
1012C2×C22⋊C4C23×C3711yescharacteristic
1013C2×C22⋊C4C23×C3711yescharacteristic
1014C2×C22⋊C4C23×C3711yescharacteristic
1015C2×C22⋊C4C23×C3711yescharacteristic
1016C2×C22⋊C4C23×C3711yescharacteristic
1017C2×C22⋊C4C23×C3711yescharacteristic
1018C2×C22⋊C4C23×C3711yescharacteristic
1019C2×C22⋊C4C23×C3711yescharacteristic
1020C2×C22⋊C4C23×C3711yescharacteristic
1021C2×C22⋊C4C23×C3711yescharacteristic
1022C2×C22⋊C4C23×C3711yescharacteristic
1023C2×C22⋊C4C23×C3711yescharacteristic
1024C2×C22⋊C4C23×C3711yescharacteristic
1025C2×C22⋊C4C23×C3711yescharacteristic
1026C2×C22⋊C4C23×C3711yescharacteristic
1027C2×C22⋊C4C23×C3711yescharacteristic
1028C2×C22⋊C4C23×C3711yescharacteristic
1029C2×C22⋊C4C23×C3711yescharacteristic
1030C2×C22⋊C4C23×C3711yescharacteristic
1031C2×C22⋊C4C23×C3711yescharacteristic
1032C2×C22⋊C4C23×C3711yescharacteristic
1033C2×C22⋊C4C23×C3711yescharacteristic
1034C2×C22⋊C4C23×C3711yescharacteristic
1035C2×C22⋊C4C23×C3711yescharacteristic
1036C2×C22⋊C4C23×C3711yescharacteristic
1037C2×C22⋊C4C23×C3711yescharacteristic
1038C2×C42C23×C3711yescharacteristic
1039C2×C42C23×C3711yescharacteristic
1040C2×C42C23×C3711yescharacteristic
1041C2×C42C23×C3711yescharacteristic
1042C2×C42C23×C3711yescharacteristic
1043C2×C42C23×C3711yescharacteristic
1044C2×C42C23×C3711yescharacteristic
1045C2×C42C23×C3711yescharacteristic
1046C2×C42C23×C3711yescharacteristic
1047C2×C42C23×C3711yescharacteristic
1048C2×C42C23×C3711yescharacteristic
1049C2×C42C23×C3711yescharacteristic
1050C2×C42C23×C3711yescharacteristic
1051C2×C42C23×C3711yescharacteristic
1052C2×C42C23×C3711yescharacteristic
1053C2×C42C23×C3711yescharacteristic
1054C2×C42C23×C3711yescharacteristic
1055C2×C42C23×C3711yescharacteristic
1056C2×C42C23×C3711yescharacteristic
1057C2×C42C23×C3711yescharacteristic
1058C2×C42C23×C3711yescharacteristic
1059C2×C42C23×C3711yescharacteristic
1060C2×C42C23×C3711yescharacteristic
1061C2×C42C23×C3711yescharacteristic
1062C2×C42C23×C3711yescharacteristic
1063#95C23×C3711yescharacteristic
1064#95C23×C3711yescharacteristic
1065#95C23×C3711yescharacteristic
1066#95C23×C3711yescharacteristic
1067#95C23×C3711yescharacteristic
1068#95C23×C3711yescharacteristic
1069#95C23×C3711yescharacteristic
1070#95C23×C3711yescharacteristic
1071#95C23×C3711yescharacteristic
1072#95C23×C3711yescharacteristic
1073#95C23×C3711yescharacteristic
1074#95C23×C3711yescharacteristic
1075#95C23×C3711yescharacteristic
1076#95C23×C3711yescharacteristic
1077#95C23×C3711yescharacteristic
1078#95C23×C3711yescharacteristic
1079#95C23×C3711yescharacteristic
1080#95C23×C3711yescharacteristic
1081#95C23×C3711yescharacteristic
1082#95C23×C3711yescharacteristic
1083#95C23×C3711yescharacteristic
1084#95C23×C3711yescharacteristic
1085#95C23×C3711yescharacteristic
1086#95C23×C3711yescharacteristic
1087#95C23×C3711yescharacteristic
1088#95C23×C3711yescharacteristic
1089#95C23×C3711yescharacteristic
1090#95C23×C3711yescharacteristic
1091#95C23×C3711yescharacteristic
1092#95C23×C3711yescharacteristic
1093#95C23×C3711yescharacteristic
1094#95C23×C3711yescharacteristic
1095#95C23×C3711yescharacteristic
1096#95C23×C3711yescharacteristic
1097#95C23×C3711yescharacteristic
1098#95C23×C3711yescharacteristic
1099#95C23×C3711yescharacteristic
1100#95C23×C3711yescharacteristic
1101#95C23×C3711yescharacteristic
1102#95C23×C3711yescharacteristic
1103#95C23×C3711yescharacteristic
1104#95C23×C3711yescharacteristic
1105#95C23×C3711yescharacteristic
1106#95C23×C3711yescharacteristic
1107C24—41no—
1108C24—41no—
1109C24—41no—
1110C24—41no—
1111C24—41no—
1112C24—41no—
1113C24C22×C4×C3714yes—
1114C24C24×C3711yescharacteristic
1115C24C24×C3711yescharacteristic
1116C24C24×C3711yescharacteristic
1117C24C24×C3711yescharacteristic
1118C2×Q8—41no—
1119C2×Q8—41no—
1120C2×Q8C22×C4×C3714yes—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4C22×C4×C3714yes—
1128C2×D4C22×C4×C3714yes—
1129C2×D4C22×C4×C3714yes—
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×C4—41no—
1152C22×C4C22×C4×C3714yes—
1153C22×C4C22×C4×C3714yes—
1154C22×C4C22×C4×C3714yes—
1155C22×C4C22×C4×C3714yes—
1156C22×C4C22×C4×C3714yes—
1157C22×C4C24×C3711yescharacteristic
1158C22×C4C24×C3711yescharacteristic
1159C22×C4C24×C3711yescharacteristic
1160C22×C4C24×C3711yescharacteristic
1161C22×C4C24×C3711yescharacteristic
1162C22×C4C24×C3711yescharacteristic
1163C22×C4C24×C3711yescharacteristic
1164C22×C4C24×C3711yescharacteristic
1165C22×C4C24×C3711yescharacteristic
1166C22×C4C24×C3711yescharacteristic
1167C22×C4C24×C3711yescharacteristic
1168C22×C4C24×C3711yescharacteristic
1169C22×C4C24×C3711yescharacteristic
1170C22×C4C24×C3711yescharacteristic
1171C22×C4C24×C3711yescharacteristic
1172C22×C4C24×C3711yescharacteristic
1173C22×C4C24×C3711yescharacteristic
1174C22×C4C24×C3711yescharacteristic
1175C22×C4C24×C3711yescharacteristic
1176C22×C4C24×C3711yescharacteristic
1177C22×C4C24×C3711yescharacteristic
1178C22×C4C24×C3711yescharacteristic
1179C22×C4C24×C3711yescharacteristic
1180C22×C4C24×C3711yescharacteristic
1181C22×C4C24×C3711yescharacteristic
1182C22×C4C24×C3711yescharacteristic
1183C22×C4C24×C3711yescharacteristic
1184C4⋊C4—22no—
1185C4⋊C4—22no—
1186C4⋊C4—22no—
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—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4C22×C4×C3714yes—
1207C4⋊C4C22×C4×C3714yes—
1208C4⋊C4C22×C4×C3714yes—
1209C4⋊C4C22×C4×C3714yes—
1210C4⋊C4C22×C4×C3714yes—
1211C4⋊C4C22×C4×C3714yes—
1212C4⋊C4C22×C4×C3714yes—
1213C4⋊C4C22×C4×C3714yes—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
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—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4C22×C4×C3714yes—
1243C22⋊C4C22×C4×C3714yes—
1244C22⋊C4C22×C4×C3714yes—
1245C22⋊C4C22×C4×C3714yes—
1246C22⋊C4C22×C4×C3714yes—
1247C22⋊C4C22×C4×C3714yes—
1248C22⋊C4C22×C4×C3714yes—
1249C22⋊C4C22×C4×C3714yes—
1250C22⋊C4C22×C4×C3714yes—
1251C22⋊C4C22×C4×C3714yes—
1252C22⋊C4C22×C4×C3714yes—
1253C22⋊C4C22×C4×C3714yes—
1254C22⋊C4C22×C4×C3714yes—
1255C22⋊C4C22×C4×C3714yes—
1256C42—22no—
1257C42—22no—
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—
1272C42—41no—
1273C42—41no—
1274C42—41no—
1275C42—41no—
1276C42—41no—
1277C42—41no—
1278C42C22×C4×C3714yes—
1279C42C22×C4×C3714yes—
1280C42C22×C4×C3714yes—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—44no—
1306C23—44no—
1307C23—44no—
1308C23—82no—
1309C23—82no—
1310C23—82no—
1311C23—82no—
1312C23C23×C4×C3712yes—
1313C23C23×C4×C3712yes—
1314C23C23×C4×C3712yes—
1315C23C23×C4×C3712yes—
1316C23C25×C3711yescharacteristic
1317Q8—44no—
1318D4—44no—
1319D4—44no—
1320D4—44no—
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—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—44no—
1391C2×C4—44no—
1392C2×C4—44no—
1393C2×C4—44no—
1394C2×C4—44no—
1395C2×C4—82no—
1396C2×C4—82no—
1397C2×C4—82no—
1398C2×C4—82no—
1399C2×C4C23×C4×C3712yes—
1400C2×C4C23×C4×C3712yes—
1401C2×C4C23×C4×C3712yes—
1402C2×C4C23×C4×C3712yes—
1403C2×C4C23×C4×C3712yes—
1404C2×C4C23×C4×C3712yes—
1405C2×C4C23×C4×C3712yes—
1406C2×C4C23×C4×C3712yes—
1407C2×C4C23×C4×C3712yes—
1408C2×C4C23×C4×C3712yes—
1409C2×C4C23×C4×C3712yes—
1410C2×C4H(5,𝔽2)×C3712yes—
1411C22—22no—
1412C22—22no—
1413C22—22no—
1414C22—22no—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—88no—
1440C22C24×C4×C3711yescharacteristic
1441C22C2×H(5,𝔽2)×C3711yescharacteristic
1442C22C37×#58511yescharacteristic
1443C22C37×#58511yescharacteristic
1444C22C37×#58511yescharacteristic
1445C22C37×#58511yescharacteristic
1446C22C37×#58511yescharacteristic
1447C4—22no—
1448C4—22no—
1449C4—22no—
1450C4—22no—
1451C4—22no—
1452C4—22no—
1453C4—22no—
1454C4—22no—
1455C4—22no—
1456C4—22no—
1457C4—22no—
1458C4—22no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C2—42no—
1475C2—42no—
1476C2—42no—
1477C2—42no—
1478C2C37×#342811yescharacteristic
1479C2C37×#342811yescharacteristic
1480C2C4×H(5,𝔽2)×C3711yescharacteristic
1481C2C37×#356011yescharacteristic
1482C2C37×#356211yescharacteristic
1483C2C37×#356611yescharacteristic
1484C2C37×#356811yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutatorC22C24×C4×C37
Frattini, cosocleC23C25×C37
prime radicalC2×#120×C37C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
2. C37×#2383C2semidirect
3. C37×#2378C2semidirect
4. C37×#2376C2semidirect
6. C37×#2374C2semidirect
7. C37×#2373C2semidirect
8. C37×#2367C2semidirect
9. C37×#2362C2semidirect
10. C37×#2359C2semidirect
11. C37×#2354C2semidirect
12. C37×#2353C2semidirect
13. C37×#2347C2semidirect
14. C37×#2347C2semidirect
15. C37×#2342C2semidirect
16. C37×#2342C2semidirect
17. C37×#2337C2semidirect
18. C37×#2335C2semidirect
19. C37×#2335C2semidirect
20. C37×#2335C2semidirect
21. C37×#2334C2semidirect
22. C37×#2332C2semidirect
23. C37×#2323C2semidirect
25. C37×#2318C2semidirect
26. C37×#2314C2semidirect
27. C37×#2312C2semidirect
28. C37×#2312C2semidirect
29. C4×#126×C37C2semidirect
30. C37×#2298C2semidirect
31. C37×#2293C2semidirect
32. C37×#551C4semidirect
42. C2×C4×Q8×C37C22semidirect
50. C2×#117×C37C22semidirect
54. C37×#391C22semidirect
55. C37×#391C22semidirect
56. C37×#391C22semidirect
62. C37×#389C22semidirect
63. C37×#389C22semidirect
64. C37×#389C22semidirect
65. C37×#389C22semidirect
66. C37×#389C22semidirect
67. C37×#389C22semidirect
68. C37×#389C22semidirect
69. C37×#389C22semidirect
104. C37×#388C22semidirect
105. C37×#388C22semidirect
106. C37×#388C22semidirect
107. C37×#388C22semidirect
108. C37×#388C22semidirect
109. C37×#388C22semidirect
110. C37×#387C22semidirect
111. C37×#387C22semidirect
112. C37×#387C22semidirect
113. C37×#387C22semidirect
114. C37×#387C22semidirect
115. C37×#387C22semidirect
116. C37×#387C22semidirect
117. C37×#387C22semidirect
118. C37×#387C22semidirect
119. C37×#387C22semidirect
120. C37×#387C22semidirect
121. C37×#387C22semidirect
122. C37×#387C22semidirect
123. C37×#387C22semidirect
124. C37×#387C22semidirect
125. C37×#387C22semidirect
137. C37×#385C22semidirect
138. C37×#385C22semidirect
139. C37×#385C22semidirect
140. C37×#384C22semidirect
141. C37×#383C22semidirect
142. C37×#383C22semidirect
143. C37×#383C22semidirect
144. C37×#382C22semidirect
153. C37×#380C22semidirect
157. C4×C4⋊C4×C37C22semidirect
158. C4×C4⋊C4×C37C22semidirect
159. C4×C4⋊C4×C37C22semidirect
160. C4×C4⋊C4×C37C22semidirect
161. C4×C4⋊C4×C37C22semidirect
162. C4×C4⋊C4×C37C22semidirect
163. C4×C4⋊C4×C37C22semidirect
164. C4×C4⋊C4×C37C22semidirect
165. C4×C4⋊C4×C37C22semidirect
166. C4×C4⋊C4×C37C22semidirect
167. C4×C4⋊C4×C37C22semidirect
168. C4×C4⋊C4×C37C22semidirect
169. C4×C4⋊C4×C37C22semidirect
181. C4×C22⋊C4×C37C22semidirect
182. C4×C22⋊C4×C37C22semidirect
183. C4×C22⋊C4×C37C22semidirect
184. C4×C22⋊C4×C37C22semidirect
185. C37×#376C22semidirect
186. C2×#95×C37C22semidirect
187. C43×C37C22semidirect
202. #126×C37C2×C4semidirect
203. #126×C37C2×C4semidirect
206. #123×C37C2×C4semidirect
207. #123×C37C2×C4semidirect
208. C22⋊Q8×C37C2×C4semidirect
209. C22⋊Q8×C37C2×C4semidirect
213. C4×D4×C37C2×C4semidirect
214. C4×D4×C37C2×C4semidirect
218. #117×C37C2×C4semidirect
219. #117×C37C2×C4semidirect
251. C2×C22⋊C4×C37C2×C4semidirect
252. C2×C22⋊C4×C37C2×C4semidirect
668. #34504C37direct (N × H)
733. #2383C2×C37semidirect
734. #2378C2×C37semidirect
735. #2376C2×C37semidirect
737. #2374C2×C37semidirect
738. #2373C2×C37semidirect
739. #2367C2×C37semidirect
740. #2362C2×C37semidirect
741. #2359C2×C37semidirect
742. #2354C2×C37semidirect
743. #2353C2×C37semidirect
744. #2347C2×C37semidirect
745. #2347C2×C37semidirect
746. #2342C2×C37semidirect
747. #2342C2×C37semidirect
748. #2337C2×C37semidirect
749. #2335C2×C37semidirect
750. #2335C2×C37semidirect
751. #2335C2×C37semidirect
752. #2334C2×C37semidirect
753. #2332C2×C37semidirect
754. #2323C2×C37semidirect
756. #2318C2×C37semidirect
757. #2314C2×C37semidirect
758. #2312C2×C37semidirect
759. #2312C2×C37semidirect
760. C4×#126C2×C37semidirect
761. #2298C2×C37semidirect
762. #2293C2×C37semidirect
774. #551C4×C37semidirect
784. C2×C4×Q8C22×C37semidirect
792. C2×#117C22×C37semidirect
796. #391C22×C37semidirect
797. #391C22×C37semidirect
798. #391C22×C37semidirect
804. #389C22×C37semidirect
805. #389C22×C37semidirect
806. #389C22×C37semidirect
807. #389C22×C37semidirect
808. #389C22×C37semidirect
809. #389C22×C37semidirect
810. #389C22×C37semidirect
811. #389C22×C37semidirect
846. #388C22×C37semidirect
847. #388C22×C37semidirect
848. #388C22×C37semidirect
849. #388C22×C37semidirect
850. #388C22×C37semidirect
851. #388C22×C37semidirect
852. #387C22×C37semidirect
853. #387C22×C37semidirect
854. #387C22×C37semidirect
855. #387C22×C37semidirect
856. #387C22×C37semidirect
857. #387C22×C37semidirect
858. #387C22×C37semidirect
859. #387C22×C37semidirect
860. #387C22×C37semidirect
861. #387C22×C37semidirect
862. #387C22×C37semidirect
863. #387C22×C37semidirect
864. #387C22×C37semidirect
865. #387C22×C37semidirect
866. #387C22×C37semidirect
867. #387C22×C37semidirect
879. #385C22×C37semidirect
880. #385C22×C37semidirect
881. #385C22×C37semidirect
882. #384C22×C37semidirect
883. #383C22×C37semidirect
884. #383C22×C37semidirect
885. #383C22×C37semidirect
886. #382C22×C37semidirect
895. #380C22×C37semidirect
899. C4×C4⋊C4C22×C37semidirect
900. C4×C4⋊C4C22×C37semidirect
901. C4×C4⋊C4C22×C37semidirect
902. C4×C4⋊C4C22×C37semidirect
903. C4×C4⋊C4C22×C37semidirect
904. C4×C4⋊C4C22×C37semidirect
905. C4×C4⋊C4C22×C37semidirect
906. C4×C4⋊C4C22×C37semidirect
907. C4×C4⋊C4C22×C37semidirect
908. C4×C4⋊C4C22×C37semidirect
909. C4×C4⋊C4C22×C37semidirect
910. C4×C4⋊C4C22×C37semidirect
911. C4×C4⋊C4C22×C37semidirect
923. C4×C22⋊C4C22×C37semidirect
924. C4×C22⋊C4C22×C37semidirect
925. C4×C22⋊C4C22×C37semidirect
926. C4×C22⋊C4C22×C37semidirect
927. #376C22×C37semidirect
928. C2×#95C22×C37semidirect
929. C43C22×C37semidirect
930. C37#34504direct (N × H)
945. #126C2×C4×C37semidirect
946. #126C2×C4×C37semidirect
949. #123C2×C4×C37semidirect
950. #123C2×C4×C37semidirect
951. C22⋊Q8C2×C4×C37semidirect
952. C22⋊Q8C2×C4×C37semidirect
956. C4×D4C2×C4×C37semidirect
957. C4×D4C2×C4×C37semidirect
961. #117C2×C4×C37semidirect
962. #117C2×C4×C37semidirect
994. C2×C22⋊C4C2×C4×C37semidirect
995. C2×C22⋊C4C2×C4×C37semidirect

Maximal subgroups

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

subgroupindex
C2×C37×#5512
C37×#23832
C37×#23782
C37×#23762
C37×#23752
C37×#23742
C37×#23732
C37×#23672
C37×#23622
C37×#23592
C37×#23542
C37×#23532
C37×#23472
C37×#23422
C37×#23372
C37×#23352
C37×#23342
C37×#23322
C37×#23232
C37×#23212
C37×#23182
C37×#23142
C37×#23122
C4×#126×C372
C37×#22982
C37×#22932
#3450437