Finite Group Databasebeta

← C37×#34456 #22655709

Subgroups — C37×#34456 #22655709

Order 9472.

2844 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C37×#546C211yesmaximal, characteristic
2C37×#2379C211yesmaximal, characteristic, complemented
3C37×#2377C211yesmaximal, characteristic, complemented
4C37×#2377C211yesmaximal, characteristic, complemented
5C37×#2376C211yesmaximal, characteristic, complemented
6C37×#2368C211yesmaximal, characteristic, complemented
7C37×#2361C211yesmaximal, characteristic, complemented
8C37×#2359C211yesmaximal, characteristic, complemented
9C37×#2358C211yesmaximal, characteristic, complemented
10C37×#2358C211yesmaximal, characteristic, complemented
11C37×#2352C211yesmaximal, characteristic, complemented
12C37×#2349C211yesmaximal, characteristic, complemented
13C37×#2342C211yesmaximal, characteristic, complemented
14C37×#2342C211yesmaximal, characteristic, complemented
15C37×#2339C211yesmaximal, characteristic, complemented
16D4×C22⋊C4×C37C211yesmaximal, characteristic, complemented
17C37×#2337C211yesmaximal, characteristic, complemented
18C37×#2335C211yesmaximal, characteristic, complemented
19C37×#2329C211yesmaximal, characteristic, complemented
20C37×#2325C211yesmaximal, characteristic, complemented
21C37×#2325C211yesmaximal, characteristic, complemented
22C37×#2324C211yesmaximal, characteristic, complemented
23C37×#2322C211yesmaximal, characteristic, complemented
24C37×#2321C211yesmaximal, characteristic, complemented
25C37×#2318C211yesmaximal, characteristic, complemented
26C37×#2318C211yesmaximal, characteristic, complemented
27C37×#2315C211yesmaximal, characteristic, complemented
28C37×#2311C211yesmaximal, characteristic, complemented
29C4×#120×C37C211yesmaximal, characteristic, complemented
30C2×C37×#386C211yesmaximal, characteristic, complemented
31C2×C37×#385C211yesmaximal, characteristic, complemented
32C22×#41×C37C2211yescharacteristic
33C23×D4×C37C2211yescharacteristic
34C24×C4×C37C2211yescharacteristic
35C37×#546C4116yescomplemented
36C2×#124×C37C2211yescharacteristic
37C2×#123×C37C2211yescharacteristic
38C2×#123×C37C2211yescharacteristic
39C2×C22⋊Q8×C37C2211yescharacteristic
40C2×#121×C37C2211yescharacteristic
41C2×#121×C37C2211yescharacteristic
42C2×#121×C37C2211yescharacteristic
43C2×#120×C37C2211yescharacteristic
44C2×#120×C37C2211yescharacteristic
45C2×C4×D4×C37C2211yescharacteristic
46C2×C4×D4×C37C2211yescharacteristic
47C2×C4×D4×C37C2211yescharacteristic
48C2×C4×D4×C37C2211yescharacteristic
49C2×C4×D4×C37C2211yescharacteristic
50C2×C4×D4×C37C2211yescharacteristic
51C2×C4×D4×C37C2211yescharacteristic, complemented
52C2×C4×D4×C37C2211yescharacteristic, complemented
53C2×C4×D4×C37C2211yescharacteristic, complemented
54C2×C4×D4×C37C2211yescharacteristic, complemented
55C2×#117×C37C2211yescharacteristic, complemented
56C2×#117×C37C2211yescharacteristic, complemented
57C22×C4⋊C4×C37C2211yescharacteristic, complemented
58C22×C4⋊C4×C37C2211yescharacteristic, complemented
59C22×C22⋊C4×C37C2211yescharacteristic
60C22×C22⋊C4×C37C2211yescharacteristic
61C22×C22⋊C4×C37C2211yescharacteristic
62C22×C22⋊C4×C37C2211yescharacteristic
63C22×C22⋊C4×C37C2211yescharacteristic
64C22×C22⋊C4×C37C2211yescharacteristic
65C22×C22⋊C4×C37C2211yescharacteristic
66C37×#391C2211yescharacteristic, complemented
67C37×#391C2211yescharacteristic, complemented
68C37×#391C2211yescharacteristic, complemented
69C37×#391C2211yescharacteristic, complemented
70C37×#390C2211yescharacteristic
71C37×#390C2211yescharacteristic
72C37×#390C2211yescharacteristic, complemented
73C37×#390C2211yescharacteristic, complemented
74C37×#390C2211yescharacteristic, complemented
75C37×#390C2211yescharacteristic, complemented
76C37×#389C2211yescharacteristic, complemented
77C37×#389C2211yescharacteristic, complemented
78C37×#389C2211yescharacteristic, complemented
79C37×#389C2211yescharacteristic, complemented
80C37×#388C2211yescharacteristic, complemented
81C37×#388C2211yescharacteristic, complemented
82C37×#388C2211yescharacteristic, complemented
83C37×#388C2211yescharacteristic, complemented
84C37×#388C2211yescharacteristic, complemented
85C37×#388C2211yescharacteristic, complemented
86C37×#388C2211yescharacteristic, complemented
87C37×#388C2211yescharacteristic, complemented
88C37×#388C2211yescharacteristic, complemented
89C37×#388C2211yescharacteristic, complemented
90C37×#388C2211yescharacteristic, complemented
91C37×#388C2211yescharacteristic, complemented
92C37×#388C2211yescharacteristic, complemented
93C37×#388C2211yescharacteristic, complemented
94C37×#388C2211yescharacteristic, complemented
95C37×#388C2211yescharacteristic, complemented
96C37×#388C2211yescharacteristic, complemented
97C37×#388C2211yescharacteristic, complemented
98C37×#387C2211yescharacteristic, complemented
99C37×#387C2211yescharacteristic, complemented
100C37×#387C2211yescharacteristic, complemented
101C37×#387C2211yescharacteristic, complemented
102C37×#387C2211yescharacteristic, complemented
103C37×#387C2211yescharacteristic, complemented
104C37×#387C2211yescharacteristic, complemented
105C37×#387C2211yescharacteristic, complemented
106C37×#387C2211yescharacteristic, complemented
107C37×#387C2211yescharacteristic, complemented
108C37×#386C2211yescharacteristic
109C37×#386C2211yescharacteristic
110C37×#386C2211yescharacteristic
111C37×#386C2211yescharacteristic
112C37×#386C2211yescharacteristic
113C37×#386C2211yescharacteristic
114C37×#386C2211yescharacteristic
115C37×#386C2211yescharacteristic
116C37×#386C2211yescharacteristic
117C37×#386C2211yescharacteristic
118C37×#386C2211yescharacteristic
119C37×#386C2211yescharacteristic
120C37×#386C2211yescharacteristic
121C37×#386C2211yescharacteristic
122C37×#386C2211yescharacteristic, complemented
123C37×#386C2211yescharacteristic, complemented
124C37×#386C2211yescharacteristic, complemented
125C37×#386C2211yescharacteristic, complemented
126C37×#386C2211yescharacteristic, complemented
127C37×#386C2211yescharacteristic, complemented
128C37×#386C2211yescharacteristic, complemented
129C37×#386C2211yescharacteristic, complemented
130C37×#385C2211yescharacteristic
131C37×#385C2211yescharacteristic
132C37×#385C2211yescharacteristic
133C37×#385C2211yescharacteristic
134C37×#385C2211yescharacteristic
135C37×#385C2211yescharacteristic
136C37×#385C2211yescharacteristic
137C37×#385C2211yescharacteristic
138C37×#385C2211yescharacteristic, complemented
139C37×#385C2211yescharacteristic, complemented
140C37×#385C2211yescharacteristic, complemented
141C37×#385C2211yescharacteristic, complemented
142C37×#385C2211yescharacteristic, complemented
143C37×#385C2211yescharacteristic, complemented
144C37×#385C2211yescharacteristic, complemented
145C37×#385C2211yescharacteristic, complemented
146C37×#385C2211yescharacteristic, complemented
147C37×#385C2211yescharacteristic, complemented
148C37×#385C2211yescharacteristic, complemented
149C37×#385C2211yescharacteristic, complemented
150C37×#385C2211yescharacteristic, complemented
151C37×#385C2211yescharacteristic, complemented
152C37×#383C2211yescharacteristic, complemented
153C37×#382C2211yescharacteristic, complemented
154C37×#382C2211yescharacteristic, complemented
155C37×#381C2211yescharacteristic, complemented
156C37×#381C2211yescharacteristic, complemented
157C37×#381C2211yescharacteristic, complemented
158C37×#380C2211yescharacteristic
159C37×#380C2211yescharacteristic, complemented
160C37×#380C2211yescharacteristic, complemented
161C37×#380C2211yescharacteristic, complemented
162C37×#380C2211yescharacteristic, complemented
163C37×#380C2211yescharacteristic, complemented
164C37×#380C2211yescharacteristic, complemented
165C37×#380C2211yescharacteristic, complemented
166C37×#380C2211yescharacteristic, complemented
167C37×#379C2211yescharacteristic
168C37×#379C2211yescharacteristic
169C4×C4⋊C4×C37C2211yescharacteristic, complemented
170C4×C4⋊C4×C37C2211yescharacteristic, complemented
171C4×C4⋊C4×C37C2211yescharacteristic, complemented
172C4×C22⋊C4×C37C2211yescharacteristic
173C4×C22⋊C4×C37C2211yescharacteristic
174C4×C22⋊C4×C37C2211yescharacteristic
175C4×C22⋊C4×C37C2211yescharacteristic
176C4×C22⋊C4×C37C2211yescharacteristic
177C4×C22⋊C4×C37C2211yescharacteristic, complemented
178C4×C22⋊C4×C37C2211yescharacteristic, complemented
179C4×C22⋊C4×C37C2211yescharacteristic, complemented
180C4×C22⋊C4×C37C2211yescharacteristic, complemented
181C4×C22⋊C4×C37C2211yescharacteristic, complemented
182C4×C22⋊C4×C37C2211yescharacteristic, complemented
183C2×#95×C37C2211yescharacteristic
184C2×#95×C37C2211yescharacteristic
185C2×#95×C37C2211yescharacteristic, complemented
186C2×#95×C37C2211yescharacteristic, complemented
187C2×#95×C37C2211yescharacteristic, complemented
188C25×C37C2311yescharacteristic
189C25×C37C2311yescharacteristic
190C2×#41×C37—42no—
191C2×#41×C37—42no—
192C2×#41×C37C2×C418yescomplemented
193C22×Q8×C37C2311yescharacteristic
194C22×D4×C37—42no—
195C22×D4×C37—42no—
196C22×D4×C37C2×C418yescomplemented
197C22×D4×C37C2311yescharacteristic
198C22×D4×C37C2311yescharacteristic
199C22×D4×C37C2311yescharacteristic
200C22×D4×C37C2311yescharacteristic
201C22×D4×C37C2311yescharacteristic
202C22×D4×C37C2311yescharacteristic
203C22×D4×C37C2311yescharacteristic
204C22×D4×C37C2311yescharacteristic
205C22×D4×C37C2311yescharacteristic
206C23×C4×C37—42no—
207C23×C4×C37—42no—
208C23×C4×C37—42no—
209C23×C4×C37C2311yescharacteristic
210C23×C4×C37C2311yescharacteristic
211C23×C4×C37C2311yescharacteristic
212C23×C4×C37C2311yescharacteristic
213C23×C4×C37C2311yescharacteristic
214C23×C4×C37C2311yescharacteristic
215C23×C4×C37C2311yescharacteristic
216C23×C4×C37C2311yescharacteristic
217C23×C4×C37C2311yescharacteristic
218C23×C4×C37C2311yescharacteristic
219C23×C4×C37C2311yescharacteristic
220C23×C4×C37C2311yescharacteristic
221C23×C4×C37C2311yescharacteristic
222C23×C4×C37C2311yescharacteristic
223C23×C4×C37C2311yescharacteristic
224C23×C4×C37C2311yescharacteristic
225C23×C4×C37C2311yescharacteristic
226C23×C4×C37C2311yescharacteristic
227C23×C4×C37C2311yescharacteristic
228C23×C4×C37C2311yescharacteristic
229#124×C37C2×C418yescomplemented
230#123×C37C2×C418yescomplemented
231#123×C37C2×C418yescomplemented
232C22⋊Q8×C37C2×C418yescomplemented
233#121×C37C2×C418yescomplemented
234#121×C37C2×C418yescomplemented
235#121×C37C2×C418yescomplemented
236#120×C37C2×C418yescomplemented
237#120×C37C2×C418yescomplemented
238C4×D4×C37—42no—
239C4×D4×C37—42no—
240C4×D4×C37—42no—
241C4×D4×C37—42no—
242C4×D4×C37—42no—
243C4×D4×C37—42no—
244C4×D4×C37—42no—
245C4×D4×C37—42no—
246C4×D4×C37C2×C418yescomplemented
247C4×D4×C37C2×C418yescomplemented
248#117×C37—42no—
249#117×C37—42no—
250C2×C4⋊C4×C37—42no—
251C2×C4⋊C4×C37—42no—
252C2×C4⋊C4×C37C2311yescharacteristic
253C2×C4⋊C4×C37C2311yescharacteristic
254C2×C4⋊C4×C37C2311yescharacteristic
255C2×C4⋊C4×C37C2311yescharacteristic
256C2×C4⋊C4×C37C2311yescharacteristic
257C2×C4⋊C4×C37C2311yescharacteristic
258C2×C4⋊C4×C37C2311yescharacteristic
259C2×C4⋊C4×C37C2311yescharacteristic
260C2×C4⋊C4×C37C2311yescharacteristic
261C2×C4⋊C4×C37C2311yescharacteristic
262C2×C4⋊C4×C37C2311yescharacteristic
263C2×C4⋊C4×C37C2311yescharacteristic
264C2×C4⋊C4×C37C2311yescharacteristic
265C2×C4⋊C4×C37C2311yescharacteristic
266C2×C4⋊C4×C37C2311yescharacteristic
267C2×C4⋊C4×C37C2311yescharacteristic
268C2×C4⋊C4×C37C2311yescharacteristic
269C2×C4⋊C4×C37C2311yescharacteristic
270C2×C4⋊C4×C37C2311yescharacteristic
271C2×C4⋊C4×C37C2311yescharacteristic
272C2×C4⋊C4×C37C2311yescharacteristic
273C2×C4⋊C4×C37C2311yescharacteristic
274C2×C4⋊C4×C37C2311yescharacteristic
275C2×C4⋊C4×C37C2311yescharacteristic
276C2×C22⋊C4×C37—42no—
277C2×C22⋊C4×C37—42no—
278C2×C22⋊C4×C37—42no—
279C2×C22⋊C4×C37—42no—
280C2×C22⋊C4×C37—42no—
281C2×C22⋊C4×C37C2×C418yescomplemented
282C2×C22⋊C4×C37C2×C418yescomplemented
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×C22⋊C4×C37C2311yescharacteristic
296C2×C22⋊C4×C37C2311yescharacteristic
297C2×C22⋊C4×C37C2311yescharacteristic
298C2×C22⋊C4×C37C2311yescharacteristic
299C2×C22⋊C4×C37C2311yescharacteristic
300C2×C22⋊C4×C37C2311yescharacteristic
301C2×C22⋊C4×C37C2311yescharacteristic
302C2×C22⋊C4×C37C2311yescharacteristic
303C2×C22⋊C4×C37C2311yescharacteristic
304C2×C22⋊C4×C37C2311yescharacteristic
305C2×C22⋊C4×C37C2311yescharacteristic
306C2×C22⋊C4×C37C2311yescharacteristic
307C2×C22⋊C4×C37C2311yescharacteristic
308C2×C22⋊C4×C37C2311yescharacteristic
309C2×C22⋊C4×C37C2311yescharacteristic
310C2×C22⋊C4×C37C2311yescharacteristic
311C2×C22⋊C4×C37C2311yescharacteristic
312C2×C22⋊C4×C37C2311yescharacteristic
313C2×C22⋊C4×C37C2311yescharacteristic
314C2×C22⋊C4×C37C2311yescharacteristic
315C2×C22⋊C4×C37C2311yescharacteristic
316C2×C22⋊C4×C37C2311yescharacteristic
317C2×C22⋊C4×C37C2311yescharacteristic
318C2×C22⋊C4×C37C2311yescharacteristic
319C2×C22⋊C4×C37C2311yescharacteristic
320C2×C22⋊C4×C37C2311yescharacteristic
321C2×C22⋊C4×C37C2311yescharacteristic
322C2×C22⋊C4×C37C2311yescharacteristic
323C2×C22⋊C4×C37C2311yescharacteristic
324C2×C22⋊C4×C37C2311yescharacteristic
325C2×C22⋊C4×C37C2311yescharacteristic
326C2×C22⋊C4×C37C2311yescharacteristic
327C2×C22⋊C4×C37C2311yescharacteristic
328C2×C22⋊C4×C37C2311yescharacteristic
329C2×C42×C37C2311yescharacteristic
330C2×C42×C37C2311yescharacteristic
331C2×C42×C37C2311yescharacteristic
332C2×C42×C37C2311yescharacteristic
333C2×C42×C37C2311yescharacteristic
334C2×C42×C37C2311yescharacteristic
335C2×C42×C37C2311yescharacteristic
336C2×C42×C37C2311yescharacteristic
337C2×C42×C37C2311yescharacteristic
338C2×C42×C37C2311yescharacteristic
339C2×C42×C37C2311yescharacteristic
340C2×C42×C37C2311yescharacteristic
341C2×C42×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
364#95×C37C2311yescharacteristic
365#95×C37C2311yescharacteristic
366#95×C37C2311yescharacteristic
367#95×C37C2311yescharacteristic
368#95×C37C2311yescharacteristic
369#95×C37C2311yescharacteristic
370#95×C37C2311yescharacteristic
371#95×C37C2311yescharacteristic
372#95×C37C2311yescharacteristic
373#95×C37C2311yescharacteristic
374#95×C37C2311yescharacteristic
375#95×C37C2311yescharacteristic
376#95×C37C2311yescharacteristic
377#95×C37C2311yescharacteristic
378#95×C37C2311yescharacteristic
379#95×C37C2311yescharacteristic
380#95×C37C2311yescharacteristic
381#95×C37C2311yescharacteristic
382C24×C37—22no—
383C24×C37—22no—
384C24×C37—22no—
385C24×C37—22no—
386C24×C37—22no—
387C24×C37—22no—
388C24×C37—41no—
389C24×C37—41no—
390C24×C37—41no—
391C24×C37—41no—
392C24×C37—41no—
393C24×C37—41no—
394C24×C37C22×C414yes—
395C24×C37C22×C414yes—
396C24×C37C2411yescharacteristic
397C24×C37C2411yescharacteristic
398C24×C37C2411yescharacteristic
399C24×C37C2411yescharacteristic
400C24×C37C2411yescharacteristic
401C24×C37C2411yescharacteristic
402#41×C37—416no—
403C2×Q8×C37—41no—
404C2×Q8×C37—41no—
405C2×Q8×C37C22×C414yescomplemented
406C2×D4×C37—22no—
407C2×D4×C37—22no—
408C2×D4×C37—22no—
409C2×D4×C37—22no—
410C2×D4×C37—22no—
411C2×D4×C37—22no—
412C2×D4×C37—22no—
413C2×D4×C37—22no—
414C2×D4×C37—41no—
415C2×D4×C37—41no—
416C2×D4×C37—41no—
417C2×D4×C37—41no—
418C2×D4×C37—41no—
419C2×D4×C37—41no—
420C2×D4×C37—41no—
421C2×D4×C37—41no—
422C2×D4×C37—41no—
423C2×D4×C37—41no—
424C2×D4×C37—416no—
425C2×D4×C37C22×C414yes—
426C2×D4×C37C22×C414yes—
427C2×D4×C37C22×C414yes—
428C2×D4×C37C22×C414yes—
429C2×D4×C37C22×C414yes—
430C2×D4×C37C22×C414yes—
431C2×D4×C37C22×C414yes—
432C2×D4×C37C22×C414yescomplemented
433C2×D4×C37C22×C414yescomplemented
434C22×C4×C37—22no—
435C22×C4×C37—22no—
436C22×C4×C37—22no—
437C22×C4×C37—22no—
438C22×C4×C37—22no—
439C22×C4×C37—22no—
440C22×C4×C37—22no—
441C22×C4×C37—22no—
442C22×C4×C37—22no—
443C22×C4×C37—22no—
444C22×C4×C37—22no—
445C22×C4×C37—22no—
446C22×C4×C37—22no—
447C22×C4×C37—22no—
448C22×C4×C37—41no—
449C22×C4×C37—41no—
450C22×C4×C37—41no—
451C22×C4×C37—41no—
452C22×C4×C37—41no—
453C22×C4×C37—41no—
454C22×C4×C37—41no—
455C22×C4×C37—41no—
456C22×C4×C37—41no—
457C22×C4×C37—41no—
458C22×C4×C37—41no—
459C22×C4×C37—41no—
460C22×C4×C37—41no—
461C22×C4×C37—41no—
462C22×C4×C37—41no—
463C22×C4×C37—41no—
464C22×C4×C37—41no—
465C22×C4×C37—41no—
466C22×C4×C37—41no—
467C22×C4×C37—41no—
468C22×C4×C37—41no—
469C22×C4×C37—41no—
470C22×C4×C37—41no—
471C22×C4×C37—41no—
472C22×C4×C37—41no—
473C22×C4×C37—41no—
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—416no—
489C22×C4×C37C22×C414yes—
490C22×C4×C37C22×C414yes—
491C22×C4×C37C22×C414yes—
492C22×C4×C37C22×C414yescomplemented
493C22×C4×C37C22×C414yescomplemented
494C22×C4×C37C22×C414yescomplemented
495C22×C4×C37C2411yescharacteristic
496C22×C4×C37C2411yescharacteristic
497C22×C4×C37C2411yescharacteristic
498C22×C4×C37C2411yescharacteristic
499C22×C4×C37C2411yescharacteristic
500C22×C4×C37C2411yescharacteristic
501C22×C4×C37C2411yescharacteristic
502C22×C4×C37C2411yescharacteristic
503C22×C4×C37C2411yescharacteristic
504C22×C4×C37C2411yescharacteristic
505C22×C4×C37C2411yescharacteristic
506C22×C4×C37C2411yescharacteristic
507C22×C4×C37C2411yescharacteristic
508C22×C4×C37C2411yescharacteristic
509C22×C4×C37C2411yescharacteristic
510C22×C4×C37C2411yescharacteristic
511C22×C4×C37C2411yescharacteristic
512C22×C4×C37C2411yescharacteristic
513C22×C4×C37C2411yescharacteristic
514C22×C4×C37C2411yescharacteristic
515C22×C4×C37C2411yescharacteristic
516C22×C4×C37C2411yescharacteristic
517C22×C4×C37C2411yescharacteristic
518C22×C4×C37C2411yescharacteristic
519C22×C4×C37C2411yescharacteristic
520C4⋊C4×C37—22no—
521C4⋊C4×C37—22no—
522C4⋊C4×C37—41no—
523C4⋊C4×C37—41no—
524C4⋊C4×C37—41no—
525C4⋊C4×C37—41no—
526C4⋊C4×C37—41no—
527C4⋊C4×C37—41no—
528C4⋊C4×C37—41no—
529C4⋊C4×C37—41no—
530C4⋊C4×C37—41no—
531C4⋊C4×C37—41no—
532C4⋊C4×C37—41no—
533C4⋊C4×C37—41no—
534C4⋊C4×C37—41no—
535C4⋊C4×C37—41no—
536C4⋊C4×C37—41no—
537C4⋊C4×C37—41no—
538C4⋊C4×C37—41no—
539C4⋊C4×C37—41no—
540C4⋊C4×C37C22×C414yescomplemented
541C4⋊C4×C37C22×C414yescomplemented
542C4⋊C4×C37C22×C414yescomplemented
543C4⋊C4×C37C22×C414yescomplemented
544C22⋊C4×C37—22no—
545C22⋊C4×C37—22no—
546C22⋊C4×C37—22no—
547C22⋊C4×C37—22no—
548C22⋊C4×C37—22no—
549C22⋊C4×C37—22no—
550C22⋊C4×C37—22no—
551C22⋊C4×C37—22no—
552C22⋊C4×C37—22no—
553C22⋊C4×C37—22no—
554C22⋊C4×C37—41no—
555C22⋊C4×C37—41no—
556C22⋊C4×C37—41no—
557C22⋊C4×C37—41no—
558C22⋊C4×C37—41no—
559C22⋊C4×C37—41no—
560C22⋊C4×C37—41no—
561C22⋊C4×C37—41no—
562C22⋊C4×C37—41no—
563C22⋊C4×C37—41no—
564C22⋊C4×C37—41no—
565C22⋊C4×C37—41no—
566C22⋊C4×C37—41no—
567C22⋊C4×C37—41no—
568C22⋊C4×C37—41no—
569C22⋊C4×C37—41no—
570C22⋊C4×C37—41no—
571C22⋊C4×C37—41no—
572C22⋊C4×C37—41no—
573C22⋊C4×C37—41no—
574C22⋊C4×C37—41no—
575C22⋊C4×C37—41no—
576C22⋊C4×C37—41no—
577C22⋊C4×C37—41no—
578C22⋊C4×C37C22×C414yes—
579C22⋊C4×C37C22×C414yes—
580C22⋊C4×C37C22×C414yes—
581C22⋊C4×C37C22×C414yes—
582C22⋊C4×C37C22×C414yes—
583C22⋊C4×C37C22×C414yes—
584C22⋊C4×C37C22×C414yes—
585C22⋊C4×C37C22×C414yescomplemented
586C22⋊C4×C37C22×C414yescomplemented
587C22⋊C4×C37C22×C414yescomplemented
588C22⋊C4×C37C22×C414yescomplemented
589C22⋊C4×C37C22×C414yescomplemented
590C42×C37—22no—
591C42×C37—41no—
592C42×C37—41no—
593C42×C37—41no—
594C42×C37—41no—
595C42×C37—41no—
596C42×C37—41no—
597C42×C37—41no—
598C42×C37—41no—
599C42×C37—41no—
600C42×C37—41no—
601C42×C37—41no—
602C42×C37C22×C414yescomplemented
603C23×C37—21no—
604C23×C37—21no—
605C23×C37—21no—
606C23×C37—21no—
607C23×C37—21no—
608C23×C37—21no—
609C23×C37—21no—
610C23×C37—21no—
611C23×C37—28no—
612C23×C37—28no—
613C23×C37—21no—
614C23×C37—21no—
615C23×C37—21no—
616C23×C37—21no—
617C23×C37—21no—
618C23×C37—21no—
619C23×C37—21no—
620C23×C37—21no—
621C23×C37—21no—
622C23×C37—21no—
623C23×C37—21no—
624C23×C37—21no—
625C23×C37—21no—
626C23×C37—21no—
627C23×C37—21no—
628C23×C37—21no—
629C23×C37—21no—
630C23×C37—21no—
631C23×C37—21no—
632C23×C37—21no—
633C23×C37—21no—
634C23×C37—21no—
635C23×C37—21no—
636C23×C37—21no—
637C23×C37—28no—
638C23×C37—44no—
639C23×C37—44no—
640C23×C37—44no—
641C23×C37—44no—
642C23×C37—44no—
643C23×C37—44no—
644C23×C37—44no—
645C23×C37—82no—
646C23×C37—82no—
647C23×C37—82no—
648C23×C37—82no—
649C23×C37C23×C412yes—
650C23×C37C23×C412yes—
651C23×C37C23×C412yes—
652C23×C37C23×C412yes—
653C23×C37C23×C412yes—
654C23×C37C23×C412yes—
655C23×C37H(5,𝔽2)12yes—
656C23×C37H(5,𝔽2)12yes—
657C23×C37H(5,𝔽2)12yes—
658C23×C372−1+412yes—
659C23×C37C2511yescharacteristic
660Q8×C37—44no—
661D4×C37—28no—
662D4×C37—28no—
663D4×C37—28no—
664D4×C37—28no—
665D4×C37—44no—
666D4×C37—44no—
667D4×C37—44no—
668D4×C37—44no—
669D4×C37—44no—
670C2×C4×C37—28no—
671C2×C4×C37—21no—
672C2×C4×C37—21no—
673C2×C4×C37—21no—
674C2×C4×C37—21no—
675C2×C4×C37—21no—
676C2×C4×C37—21no—
677C2×C4×C37—21no—
678C2×C4×C37—21no—
679C2×C4×C37—21no—
680C2×C4×C37—21no—
681C2×C4×C37—21no—
682C2×C4×C37—21no—
683C2×C4×C37—21no—
684C2×C4×C37—21no—
685C2×C4×C37—21no—
686C2×C4×C37—21no—
687C2×C4×C37—21no—
688C2×C4×C37—21no—
689C2×C4×C37—21no—
690C2×C4×C37—21no—
691C2×C4×C37—21no—
692C2×C4×C37—21no—
693C2×C4×C37—21no—
694C2×C4×C37—21no—
695C2×C4×C37—21no—
696C2×C4×C37—21no—
697C2×C4×C37—21no—
698C2×C4×C37—21no—
699C2×C4×C37—21no—
700C2×C4×C37—21no—
701C2×C4×C37—21no—
702C2×C4×C37—21no—
703C2×C4×C37—21no—
704C2×C4×C37—21no—
705C2×C4×C37—21no—
706C2×C4×C37—21no—
707C2×C4×C37—21no—
708C2×C4×C37—21no—
709C2×C4×C37—21no—
710C2×C4×C37—21no—
711C2×C4×C37—21no—
712C2×C4×C37—21no—
713C2×C4×C37—21no—
714C2×C4×C37—21no—
715C2×C4×C37—21no—
716C2×C4×C37—21no—
717C2×C4×C37—21no—
718C2×C4×C37—21no—
719C2×C4×C37—21no—
720C2×C4×C37—21no—
721C2×C4×C37—21no—
722C2×C4×C37—21no—
723C2×C4×C37—21no—
724C2×C4×C37—21no—
725C2×C4×C37—21no—
726C2×C4×C37—21no—
727C2×C4×C37—21no—
728C2×C4×C37—21no—
729C2×C4×C37—21no—
730C2×C4×C37—21no—
731C2×C4×C37—21no—
732C2×C4×C37—21no—
733C2×C4×C37—21no—
734C2×C4×C37—21no—
735C2×C4×C37—21no—
736C2×C4×C37—44no—
737C2×C4×C37—44no—
738C2×C4×C37—44no—
739C2×C4×C37—44no—
740C2×C4×C37—44no—
741C2×C4×C37—44no—
742C2×C4×C37—44no—
743C2×C4×C37—44no—
744C2×C4×C37—44no—
745C2×C4×C37—44no—
746C2×C4×C37—44no—
747C2×C4×C37—82no—
748C2×C4×C37—82no—
749C2×C4×C37—82no—
750C2×C4×C37—82no—
751C2×C4×C37—82no—
752C2×C4×C37—82no—
753C2×C4×C37—82no—
754C2×C4×C37—82no—
755C2×C4×C37C23×C412yes—
756C2×C4×C37C23×C412yes—
757C2×C4×C37C23×C412yes—
758C2×C4×C37C23×C412yes—
759C2×C4×C37C23×C412yes—
760C2×C4×C37C23×C412yes—
761C2×C4×C37C23×C412yes—
762C2×C4×C37C23×C412yes—
763C2×C4×C37C23×C412yes—
764C2×C4×C37H(5,𝔽2)12yes—
765#34456C3711yesmaximal, characteristic, direct product factor, Sylow
766C22×C37—22no—
767C22×C37—22no—
768C22×C37—22no—
769C22×C37—22no—
770C22×C37—22no—
771C22×C37—22no—
772C22×C37—22no—
773C22×C37—22no—
774C22×C37—22no—
775C22×C37—22no—
776C22×C37—22no—
777C22×C37—22no—
778C22×C37—22no—
779C22×C37—22no—
780C22×C37—22no—
781C22×C37—22no—
782C22×C37—22no—
783C22×C37—22no—
784C22×C37—22no—
785C22×C37—22no—
786C22×C37—22no—
787C22×C37—22no—
788C22×C37—22no—
789C22×C37—22no—
790C22×C37—416no—
791C22×C37—41no—
792C22×C37—41no—
793C22×C37—41no—
794C22×C37—41no—
795C22×C37—41no—
796C22×C37—41no—
797C22×C37—41no—
798C22×C37—41no—
799C22×C37—41no—
800C22×C37—41no—
801C22×C37—41no—
802C22×C37—41no—
803C22×C37—41no—
804C22×C37—41no—
805C22×C37—41no—
806C22×C37—41no—
807C22×C37—88no—
808C22×C37#51814yes—
809C22×C37#52014yes—
810C22×C37C24×C411yescharacteristic
811C22×C37C2×H(5,𝔽2)11yescharacteristic
812C22×C37C2×H(5,𝔽2)11yescharacteristic
813C22×C37C2×H(5,𝔽2)11yescharacteristic
814C22×C37C2×H(5,𝔽2)11yescharacteristic
815C22×C37C2×2−1+411yescharacteristic
816C22×C37#58511yescharacteristic
817C4×C37—22no—
818C4×C37—22no—
819C4×C37—22no—
820C4×C37—22no—
821C4×C37—22no—
822C4×C37—22no—
823C4×C37—22no—
824C4×C37—22no—
825C4×C37—22no—
826C4×C37—22no—
827C4×C37—41no—
828C4×C37—41no—
829C4×C37—41no—
830C4×C37—41no—
831C4×C37—41no—
832C4×C37—41no—
833C4×C37—41no—
834C4×C37—41no—
835C4×C37—41no—
836C4×C37—41no—
837C4×C37—41no—
838C4×C37—41no—
839C4×C37—41no—
840C4×C37—41no—
841C4×C37—41no—
842C2×#546C2×C3711yescharacteristic
843#2379C2×C3711yescharacteristic, complemented
844#2377C2×C3711yescharacteristic, complemented
845#2377C2×C3711yescharacteristic, complemented
846#2376C2×C3711yescharacteristic, complemented
847#2368C2×C3711yescharacteristic, complemented
848#2361C2×C3711yescharacteristic, complemented
849#2359C2×C3711yescharacteristic, complemented
850#2358C2×C3711yescharacteristic, complemented
851#2358C2×C3711yescharacteristic, complemented
852#2352C2×C3711yescharacteristic, complemented
853#2349C2×C3711yescharacteristic, complemented
854#2342C2×C3711yescharacteristic, complemented
855#2342C2×C3711yescharacteristic, complemented
856#2339C2×C3711yescharacteristic, complemented
857D4×C22⋊C4C2×C3711yescharacteristic, complemented
858#2337C2×C3711yescharacteristic, complemented
859#2335C2×C3711yescharacteristic, complemented
860#2329C2×C3711yescharacteristic, complemented
861#2325C2×C3711yescharacteristic, complemented
862#2325C2×C3711yescharacteristic, complemented
863#2324C2×C3711yescharacteristic, complemented
864#2322C2×C3711yescharacteristic, complemented
865#2321C2×C3711yescharacteristic, complemented
866#2318C2×C3711yescharacteristic, complemented
867#2318C2×C3711yescharacteristic, complemented
868#2315C2×C3711yescharacteristic, complemented
869#2311C2×C3711yescharacteristic, complemented
870C4×#120C2×C3711yescharacteristic, complemented
871C2×#386C2×C3711yescharacteristic, complemented
872C2×#385C2×C3711yescharacteristic, complemented
873C2×C37—24no—
874C2×C37—24no—
875C2×C37—42no—
876C2×C37—42no—
877C2×C37—42no—
878C2×C37—42no—
879C2×C37C2×#51811yescharacteristic
880C2×C37C2×#52011yescharacteristic
881C2×C37C4×H(5,𝔽2)11yescharacteristic
882C2×C37#353211yescharacteristic
883C2×C37#353411yescharacteristic
884C2×C37#353511yescharacteristic
885C2×C37#353611yescharacteristic
886C22×#41C22×C3711yescharacteristic
887C23×D4C22×C3711yescharacteristic
888C24×C4C22×C3711yescharacteristic
889#546C4×C37116yescomplemented
890C2×#124C22×C3711yescharacteristic
891C2×#123C22×C3711yescharacteristic
892C2×#123C22×C3711yescharacteristic
893C2×C22⋊Q8C22×C3711yescharacteristic
894C2×#121C22×C3711yescharacteristic
895C2×#121C22×C3711yescharacteristic
896C2×#121C22×C3711yescharacteristic
897C2×#120C22×C3711yescharacteristic
898C2×#120C22×C3711yescharacteristic
899C2×C4×D4C22×C3711yescharacteristic
900C2×C4×D4C22×C3711yescharacteristic
901C2×C4×D4C22×C3711yescharacteristic
902C2×C4×D4C22×C3711yescharacteristic
903C2×C4×D4C22×C3711yescharacteristic
904C2×C4×D4C22×C3711yescharacteristic
905C2×C4×D4C22×C3711yescharacteristic, complemented
906C2×C4×D4C22×C3711yescharacteristic, complemented
907C2×C4×D4C22×C3711yescharacteristic, complemented
908C2×C4×D4C22×C3711yescharacteristic, complemented
909C2×#117C22×C3711yescharacteristic, complemented
910C2×#117C22×C3711yescharacteristic, complemented
911C22×C4⋊C4C22×C3711yescharacteristic, complemented
912C22×C4⋊C4C22×C3711yescharacteristic, complemented
913C22×C22⋊C4C22×C3711yescharacteristic
914C22×C22⋊C4C22×C3711yescharacteristic
915C22×C22⋊C4C22×C3711yescharacteristic
916C22×C22⋊C4C22×C3711yescharacteristic
917C22×C22⋊C4C22×C3711yescharacteristic
918C22×C22⋊C4C22×C3711yescharacteristic
919C22×C22⋊C4C22×C3711yescharacteristic
920#391C22×C3711yescharacteristic, complemented
921#391C22×C3711yescharacteristic, complemented
922#391C22×C3711yescharacteristic, complemented
923#391C22×C3711yescharacteristic, complemented
924#390C22×C3711yescharacteristic
925#390C22×C3711yescharacteristic
926#390C22×C3711yescharacteristic, complemented
927#390C22×C3711yescharacteristic, complemented
928#390C22×C3711yescharacteristic, complemented
929#390C22×C3711yescharacteristic, complemented
930#389C22×C3711yescharacteristic, complemented
931#389C22×C3711yescharacteristic, complemented
932#389C22×C3711yescharacteristic, complemented
933#389C22×C3711yescharacteristic, complemented
934#388C22×C3711yescharacteristic, complemented
935#388C22×C3711yescharacteristic, complemented
936#388C22×C3711yescharacteristic, complemented
937#388C22×C3711yescharacteristic, complemented
938#388C22×C3711yescharacteristic, complemented
939#388C22×C3711yescharacteristic, complemented
940#388C22×C3711yescharacteristic, complemented
941#388C22×C3711yescharacteristic, complemented
942#388C22×C3711yescharacteristic, complemented
943#388C22×C3711yescharacteristic, complemented
944#388C22×C3711yescharacteristic, complemented
945#388C22×C3711yescharacteristic, complemented
946#388C22×C3711yescharacteristic, complemented
947#388C22×C3711yescharacteristic, complemented
948#388C22×C3711yescharacteristic, complemented
949#388C22×C3711yescharacteristic, complemented
950#388C22×C3711yescharacteristic, complemented
951#388C22×C3711yescharacteristic, complemented
952#387C22×C3711yescharacteristic, complemented
953#387C22×C3711yescharacteristic, complemented
954#387C22×C3711yescharacteristic, complemented
955#387C22×C3711yescharacteristic, complemented
956#387C22×C3711yescharacteristic, complemented
957#387C22×C3711yescharacteristic, complemented
958#387C22×C3711yescharacteristic, complemented
959#387C22×C3711yescharacteristic, complemented
960#387C22×C3711yescharacteristic, complemented
961#387C22×C3711yescharacteristic, complemented
962#386C22×C3711yescharacteristic
963#386C22×C3711yescharacteristic
964#386C22×C3711yescharacteristic
965#386C22×C3711yescharacteristic
966#386C22×C3711yescharacteristic
967#386C22×C3711yescharacteristic
968#386C22×C3711yescharacteristic
969#386C22×C3711yescharacteristic
970#386C22×C3711yescharacteristic
971#386C22×C3711yescharacteristic
972#386C22×C3711yescharacteristic
973#386C22×C3711yescharacteristic
974#386C22×C3711yescharacteristic
975#386C22×C3711yescharacteristic
976#386C22×C3711yescharacteristic, complemented
977#386C22×C3711yescharacteristic, complemented
978#386C22×C3711yescharacteristic, complemented
979#386C22×C3711yescharacteristic, complemented
980#386C22×C3711yescharacteristic, complemented
981#386C22×C3711yescharacteristic, complemented
982#386C22×C3711yescharacteristic, complemented
983#386C22×C3711yescharacteristic, complemented
984#385C22×C3711yescharacteristic
985#385C22×C3711yescharacteristic
986#385C22×C3711yescharacteristic
987#385C22×C3711yescharacteristic
988#385C22×C3711yescharacteristic
989#385C22×C3711yescharacteristic
990#385C22×C3711yescharacteristic
991#385C22×C3711yescharacteristic
992#385C22×C3711yescharacteristic, complemented
993#385C22×C3711yescharacteristic, complemented
994#385C22×C3711yescharacteristic, complemented
995#385C22×C3711yescharacteristic, complemented
996#385C22×C3711yescharacteristic, complemented
997#385C22×C3711yescharacteristic, complemented
998#385C22×C3711yescharacteristic, complemented
999#385C22×C3711yescharacteristic, complemented
1000#385C22×C3711yescharacteristic, complemented
1001#385C22×C3711yescharacteristic, complemented
1002#385C22×C3711yescharacteristic, complemented
1003#385C22×C3711yescharacteristic, complemented
1004#385C22×C3711yescharacteristic, complemented
1005#385C22×C3711yescharacteristic, complemented
1006#383C22×C3711yescharacteristic, complemented
1007#382C22×C3711yescharacteristic, complemented
1008#382C22×C3711yescharacteristic, complemented
1009#381C22×C3711yescharacteristic, complemented
1010#381C22×C3711yescharacteristic, complemented
1011#381C22×C3711yescharacteristic, complemented
1012#380C22×C3711yescharacteristic
1013#380C22×C3711yescharacteristic, complemented
1014#380C22×C3711yescharacteristic, complemented
1015#380C22×C3711yescharacteristic, complemented
1016#380C22×C3711yescharacteristic, complemented
1017#380C22×C3711yescharacteristic, complemented
1018#380C22×C3711yescharacteristic, complemented
1019#380C22×C3711yescharacteristic, complemented
1020#380C22×C3711yescharacteristic, complemented
1021#379C22×C3711yescharacteristic
1022#379C22×C3711yescharacteristic
1023C4×C4⋊C4C22×C3711yescharacteristic, complemented
1024C4×C4⋊C4C22×C3711yescharacteristic, complemented
1025C4×C4⋊C4C22×C3711yescharacteristic, complemented
1026C4×C22⋊C4C22×C3711yescharacteristic
1027C4×C22⋊C4C22×C3711yescharacteristic
1028C4×C22⋊C4C22×C3711yescharacteristic
1029C4×C22⋊C4C22×C3711yescharacteristic
1030C4×C22⋊C4C22×C3711yescharacteristic
1031C4×C22⋊C4C22×C3711yescharacteristic, complemented
1032C4×C22⋊C4C22×C3711yescharacteristic, complemented
1033C4×C22⋊C4C22×C3711yescharacteristic, complemented
1034C4×C22⋊C4C22×C3711yescharacteristic, complemented
1035C4×C22⋊C4C22×C3711yescharacteristic, complemented
1036C4×C22⋊C4C22×C3711yescharacteristic, complemented
1037C2×#95C22×C3711yescharacteristic
1038C2×#95C22×C3711yescharacteristic
1039C2×#95C22×C3711yescharacteristic, complemented
1040C2×#95C22×C3711yescharacteristic, complemented
1041C2×#95C22×C3711yescharacteristic, complemented
1042C37#3445611yescharacteristic, direct product factor, Sylow
1043C25C23×C3711yescharacteristic
1044C25C23×C3711yescharacteristic
1045C2×#41—42no—
1046C2×#41—42no—
1047C2×#41C2×C4×C3718yescomplemented
1048C22×Q8C23×C3711yescharacteristic
1049C22×D4—42no—
1050C22×D4—42no—
1051C22×D4C2×C4×C3718yescomplemented
1052C22×D4C23×C3711yescharacteristic
1053C22×D4C23×C3711yescharacteristic
1054C22×D4C23×C3711yescharacteristic
1055C22×D4C23×C3711yescharacteristic
1056C22×D4C23×C3711yescharacteristic
1057C22×D4C23×C3711yescharacteristic
1058C22×D4C23×C3711yescharacteristic
1059C22×D4C23×C3711yescharacteristic
1060C22×D4C23×C3711yescharacteristic
1061C23×C4—42no—
1062C23×C4—42no—
1063C23×C4—42no—
1064C23×C4C23×C3711yescharacteristic
1065C23×C4C23×C3711yescharacteristic
1066C23×C4C23×C3711yescharacteristic
1067C23×C4C23×C3711yescharacteristic
1068C23×C4C23×C3711yescharacteristic
1069C23×C4C23×C3711yescharacteristic
1070C23×C4C23×C3711yescharacteristic
1071C23×C4C23×C3711yescharacteristic
1072C23×C4C23×C3711yescharacteristic
1073C23×C4C23×C3711yescharacteristic
1074C23×C4C23×C3711yescharacteristic
1075C23×C4C23×C3711yescharacteristic
1076C23×C4C23×C3711yescharacteristic
1077C23×C4C23×C3711yescharacteristic
1078C23×C4C23×C3711yescharacteristic
1079C23×C4C23×C3711yescharacteristic
1080C23×C4C23×C3711yescharacteristic
1081C23×C4C23×C3711yescharacteristic
1082C23×C4C23×C3711yescharacteristic
1083C23×C4C23×C3711yescharacteristic
1084#124C2×C4×C3718yescomplemented
1085#123C2×C4×C3718yescomplemented
1086#123C2×C4×C3718yescomplemented
1087C22⋊Q8C2×C4×C3718yescomplemented
1088#121C2×C4×C3718yescomplemented
1089#121C2×C4×C3718yescomplemented
1090#121C2×C4×C3718yescomplemented
1091#120C2×C4×C3718yescomplemented
1092#120C2×C4×C3718yescomplemented
1093C4×D4—42no—
1094C4×D4—42no—
1095C4×D4—42no—
1096C4×D4—42no—
1097C4×D4—42no—
1098C4×D4—42no—
1099C4×D4—42no—
1100C4×D4—42no—
1101C4×D4C2×C4×C3718yescomplemented
1102C4×D4C2×C4×C3718yescomplemented
1103#117—42no—
1104#117—42no—
1105C2×C4⋊C4—42no—
1106C2×C4⋊C4—42no—
1107C2×C4⋊C4C23×C3711yescharacteristic
1108C2×C4⋊C4C23×C3711yescharacteristic
1109C2×C4⋊C4C23×C3711yescharacteristic
1110C2×C4⋊C4C23×C3711yescharacteristic
1111C2×C4⋊C4C23×C3711yescharacteristic
1112C2×C4⋊C4C23×C3711yescharacteristic
1113C2×C4⋊C4C23×C3711yescharacteristic
1114C2×C4⋊C4C23×C3711yescharacteristic
1115C2×C4⋊C4C23×C3711yescharacteristic
1116C2×C4⋊C4C23×C3711yescharacteristic
1117C2×C4⋊C4C23×C3711yescharacteristic
1118C2×C4⋊C4C23×C3711yescharacteristic
1119C2×C4⋊C4C23×C3711yescharacteristic
1120C2×C4⋊C4C23×C3711yescharacteristic
1121C2×C4⋊C4C23×C3711yescharacteristic
1122C2×C4⋊C4C23×C3711yescharacteristic
1123C2×C4⋊C4C23×C3711yescharacteristic
1124C2×C4⋊C4C23×C3711yescharacteristic
1125C2×C4⋊C4C23×C3711yescharacteristic
1126C2×C4⋊C4C23×C3711yescharacteristic
1127C2×C4⋊C4C23×C3711yescharacteristic
1128C2×C4⋊C4C23×C3711yescharacteristic
1129C2×C4⋊C4C23×C3711yescharacteristic
1130C2×C4⋊C4C23×C3711yescharacteristic
1131C2×C22⋊C4—42no—
1132C2×C22⋊C4—42no—
1133C2×C22⋊C4—42no—
1134C2×C22⋊C4—42no—
1135C2×C22⋊C4—42no—
1136C2×C22⋊C4C2×C4×C3718yescomplemented
1137C2×C22⋊C4C2×C4×C3718yescomplemented
1138C2×C22⋊C4C23×C3711yescharacteristic
1139C2×C22⋊C4C23×C3711yescharacteristic
1140C2×C22⋊C4C23×C3711yescharacteristic
1141C2×C22⋊C4C23×C3711yescharacteristic
1142C2×C22⋊C4C23×C3711yescharacteristic
1143C2×C22⋊C4C23×C3711yescharacteristic
1144C2×C22⋊C4C23×C3711yescharacteristic
1145C2×C22⋊C4C23×C3711yescharacteristic
1146C2×C22⋊C4C23×C3711yescharacteristic
1147C2×C22⋊C4C23×C3711yescharacteristic
1148C2×C22⋊C4C23×C3711yescharacteristic
1149C2×C22⋊C4C23×C3711yescharacteristic
1150C2×C22⋊C4C23×C3711yescharacteristic
1151C2×C22⋊C4C23×C3711yescharacteristic
1152C2×C22⋊C4C23×C3711yescharacteristic
1153C2×C22⋊C4C23×C3711yescharacteristic
1154C2×C22⋊C4C23×C3711yescharacteristic
1155C2×C22⋊C4C23×C3711yescharacteristic
1156C2×C22⋊C4C23×C3711yescharacteristic
1157C2×C22⋊C4C23×C3711yescharacteristic
1158C2×C22⋊C4C23×C3711yescharacteristic
1159C2×C22⋊C4C23×C3711yescharacteristic
1160C2×C22⋊C4C23×C3711yescharacteristic
1161C2×C22⋊C4C23×C3711yescharacteristic
1162C2×C22⋊C4C23×C3711yescharacteristic
1163C2×C22⋊C4C23×C3711yescharacteristic
1164C2×C22⋊C4C23×C3711yescharacteristic
1165C2×C22⋊C4C23×C3711yescharacteristic
1166C2×C22⋊C4C23×C3711yescharacteristic
1167C2×C22⋊C4C23×C3711yescharacteristic
1168C2×C22⋊C4C23×C3711yescharacteristic
1169C2×C22⋊C4C23×C3711yescharacteristic
1170C2×C22⋊C4C23×C3711yescharacteristic
1171C2×C22⋊C4C23×C3711yescharacteristic
1172C2×C22⋊C4C23×C3711yescharacteristic
1173C2×C22⋊C4C23×C3711yescharacteristic
1174C2×C22⋊C4C23×C3711yescharacteristic
1175C2×C22⋊C4C23×C3711yescharacteristic
1176C2×C22⋊C4C23×C3711yescharacteristic
1177C2×C22⋊C4C23×C3711yescharacteristic
1178C2×C22⋊C4C23×C3711yescharacteristic
1179C2×C22⋊C4C23×C3711yescharacteristic
1180C2×C22⋊C4C23×C3711yescharacteristic
1181C2×C22⋊C4C23×C3711yescharacteristic
1182C2×C22⋊C4C23×C3711yescharacteristic
1183C2×C22⋊C4C23×C3711yescharacteristic
1184C2×C42C23×C3711yescharacteristic
1185C2×C42C23×C3711yescharacteristic
1186C2×C42C23×C3711yescharacteristic
1187C2×C42C23×C3711yescharacteristic
1188C2×C42C23×C3711yescharacteristic
1189C2×C42C23×C3711yescharacteristic
1190C2×C42C23×C3711yescharacteristic
1191C2×C42C23×C3711yescharacteristic
1192C2×C42C23×C3711yescharacteristic
1193C2×C42C23×C3711yescharacteristic
1194C2×C42C23×C3711yescharacteristic
1195C2×C42C23×C3711yescharacteristic
1196C2×C42C23×C3711yescharacteristic
1197#95C23×C3711yescharacteristic
1198#95C23×C3711yescharacteristic
1199#95C23×C3711yescharacteristic
1200#95C23×C3711yescharacteristic
1201#95C23×C3711yescharacteristic
1202#95C23×C3711yescharacteristic
1203#95C23×C3711yescharacteristic
1204#95C23×C3711yescharacteristic
1205#95C23×C3711yescharacteristic
1206#95C23×C3711yescharacteristic
1207#95C23×C3711yescharacteristic
1208#95C23×C3711yescharacteristic
1209#95C23×C3711yescharacteristic
1210#95C23×C3711yescharacteristic
1211#95C23×C3711yescharacteristic
1212#95C23×C3711yescharacteristic
1213#95C23×C3711yescharacteristic
1214#95C23×C3711yescharacteristic
1215#95C23×C3711yescharacteristic
1216#95C23×C3711yescharacteristic
1217#95C23×C3711yescharacteristic
1218#95C23×C3711yescharacteristic
1219#95C23×C3711yescharacteristic
1220#95C23×C3711yescharacteristic
1221#95C23×C3711yescharacteristic
1222#95C23×C3711yescharacteristic
1223#95C23×C3711yescharacteristic
1224#95C23×C3711yescharacteristic
1225#95C23×C3711yescharacteristic
1226#95C23×C3711yescharacteristic
1227#95C23×C3711yescharacteristic
1228#95C23×C3711yescharacteristic
1229#95C23×C3711yescharacteristic
1230#95C23×C3711yescharacteristic
1231#95C23×C3711yescharacteristic
1232#95C23×C3711yescharacteristic
1233#95C23×C3711yescharacteristic
1234#95C23×C3711yescharacteristic
1235#95C23×C3711yescharacteristic
1236#95C23×C3711yescharacteristic
1237C24—22no—
1238C24—22no—
1239C24—22no—
1240C24—22no—
1241C24—22no—
1242C24—22no—
1243C24—41no—
1244C24—41no—
1245C24—41no—
1246C24—41no—
1247C24—41no—
1248C24—41no—
1249C24C22×C4×C3714yes—
1250C24C22×C4×C3714yes—
1251C24C24×C3711yescharacteristic
1252C24C24×C3711yescharacteristic
1253C24C24×C3711yescharacteristic
1254C24C24×C3711yescharacteristic
1255C24C24×C3711yescharacteristic
1256C24C24×C3711yescharacteristic
1257#41—416no—
1258C2×Q8—41no—
1259C2×Q8—41no—
1260C2×Q8C22×C4×C3714yescomplemented
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—416no—
1280C2×D4C22×C4×C3714yes—
1281C2×D4C22×C4×C3714yes—
1282C2×D4C22×C4×C3714yes—
1283C2×D4C22×C4×C3714yes—
1284C2×D4C22×C4×C3714yes—
1285C2×D4C22×C4×C3714yes—
1286C2×D4C22×C4×C3714yes—
1287C2×D4C22×C4×C3714yescomplemented
1288C2×D4C22×C4×C3714yescomplemented
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—416no—
1344C22×C4C22×C4×C3714yes—
1345C22×C4C22×C4×C3714yes—
1346C22×C4C22×C4×C3714yes—
1347C22×C4C22×C4×C3714yescomplemented
1348C22×C4C22×C4×C3714yescomplemented
1349C22×C4C22×C4×C3714yescomplemented
1350C22×C4C24×C3711yescharacteristic
1351C22×C4C24×C3711yescharacteristic
1352C22×C4C24×C3711yescharacteristic
1353C22×C4C24×C3711yescharacteristic
1354C22×C4C24×C3711yescharacteristic
1355C22×C4C24×C3711yescharacteristic
1356C22×C4C24×C3711yescharacteristic
1357C22×C4C24×C3711yescharacteristic
1358C22×C4C24×C3711yescharacteristic
1359C22×C4C24×C3711yescharacteristic
1360C22×C4C24×C3711yescharacteristic
1361C22×C4C24×C3711yescharacteristic
1362C22×C4C24×C3711yescharacteristic
1363C22×C4C24×C3711yescharacteristic
1364C22×C4C24×C3711yescharacteristic
1365C22×C4C24×C3711yescharacteristic
1366C22×C4C24×C3711yescharacteristic
1367C22×C4C24×C3711yescharacteristic
1368C22×C4C24×C3711yescharacteristic
1369C22×C4C24×C3711yescharacteristic
1370C22×C4C24×C3711yescharacteristic
1371C22×C4C24×C3711yescharacteristic
1372C22×C4C24×C3711yescharacteristic
1373C22×C4C24×C3711yescharacteristic
1374C22×C4C24×C3711yescharacteristic
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—41no—
1378C4⋊C4—41no—
1379C4⋊C4—41no—
1380C4⋊C4—41no—
1381C4⋊C4—41no—
1382C4⋊C4—41no—
1383C4⋊C4—41no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—41no—
1389C4⋊C4—41no—
1390C4⋊C4—41no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—41no—
1395C4⋊C4C22×C4×C3714yescomplemented
1396C4⋊C4C22×C4×C3714yescomplemented
1397C4⋊C4C22×C4×C3714yescomplemented
1398C4⋊C4C22×C4×C3714yescomplemented
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4C22×C4×C3714yes—
1434C22⋊C4C22×C4×C3714yes—
1435C22⋊C4C22×C4×C3714yes—
1436C22⋊C4C22×C4×C3714yes—
1437C22⋊C4C22×C4×C3714yes—
1438C22⋊C4C22×C4×C3714yes—
1439C22⋊C4C22×C4×C3714yes—
1440C22⋊C4C22×C4×C3714yescomplemented
1441C22⋊C4C22×C4×C3714yescomplemented
1442C22⋊C4C22×C4×C3714yescomplemented
1443C22⋊C4C22×C4×C3714yescomplemented
1444C22⋊C4C22×C4×C3714yescomplemented
1445C42—22no—
1446C42—41no—
1447C42—41no—
1448C42—41no—
1449C42—41no—
1450C42—41no—
1451C42—41no—
1452C42—41no—
1453C42—41no—
1454C42—41no—
1455C42—41no—
1456C42—41no—
1457C42C22×C4×C3714yescomplemented
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—28no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—28no—
1492C23—28no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—82no—
1501C23—82no—
1502C23—82no—
1503C23—82no—
1504C23C23×C4×C3712yes—
1505C23C23×C4×C3712yes—
1506C23C23×C4×C3712yes—
1507C23C23×C4×C3712yes—
1508C23C23×C4×C3712yes—
1509C23C23×C4×C3712yes—
1510C23H(5,𝔽2)×C3712yes—
1511C23H(5,𝔽2)×C3712yes—
1512C23H(5,𝔽2)×C3712yes—
1513C232−1+4×C3712yes—
1514C23C25×C3711yescharacteristic
1515Q8—44no—
1516D4—28no—
1517D4—28no—
1518D4—28no—
1519D4—28no—
1520D4—44no—
1521D4—44no—
1522D4—44no—
1523D4—44no—
1524D4—44no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—28no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—82no—
1603C2×C4—82no—
1604C2×C4—82no—
1605C2×C4—82no—
1606C2×C4—82no—
1607C2×C4—82no—
1608C2×C4—82no—
1609C2×C4—82no—
1610C2×C4C23×C4×C3712yes—
1611C2×C4C23×C4×C3712yes—
1612C2×C4C23×C4×C3712yes—
1613C2×C4C23×C4×C3712yes—
1614C2×C4C23×C4×C3712yes—
1615C2×C4C23×C4×C3712yes—
1616C2×C4C23×C4×C3712yes—
1617C2×C4C23×C4×C3712yes—
1618C2×C4C23×C4×C3712yes—
1619C2×C4H(5,𝔽2)×C3712yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—416no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—88no—
1662C22C37×#51814yes—
1663C22C37×#52014yes—
1664C22C24×C4×C3711yescharacteristic
1665C22C2×H(5,𝔽2)×C3711yescharacteristic
1666C22C2×H(5,𝔽2)×C3711yescharacteristic
1667C22C2×H(5,𝔽2)×C3711yescharacteristic
1668C22C2×H(5,𝔽2)×C3711yescharacteristic
1669C22C2×2−1+4×C3711yescharacteristic
1670C22C37×#58511yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C2—24no—
1697C2—24no—
1698C2—42no—
1699C2—42no—
1700C2—42no—
1701C2—42no—
1702C2C2×C37×#51811yescharacteristic
1703C2C2×C37×#52011yescharacteristic
1704C2C4×H(5,𝔽2)×C3711yescharacteristic
1705C2C37×#353211yescharacteristic
1706C2C37×#353411yescharacteristic
1707C2C37×#353511yescharacteristic
1708C2C37×#353611yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutatorC22C24×C4×C37
Frattini, cosocleC23C25×C37
prime radicalC2×C37×#546C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
2. C37×#2379C2semidirect
3. C37×#2377C2semidirect
4. C37×#2377C2semidirect
5. C37×#2376C2semidirect
6. C37×#2368C2semidirect
7. C37×#2361C2semidirect
8. C37×#2359C2semidirect
9. C37×#2358C2semidirect
10. C37×#2358C2semidirect
11. C37×#2352C2semidirect
12. C37×#2349C2semidirect
13. C37×#2342C2semidirect
14. C37×#2342C2semidirect
15. C37×#2339C2semidirect
16. D4×C22⋊C4×C37C2semidirect
17. C37×#2337C2semidirect
18. C37×#2335C2semidirect
19. C37×#2329C2semidirect
20. C37×#2325C2semidirect
21. C37×#2325C2semidirect
22. C37×#2324C2semidirect
23. C37×#2322C2semidirect
24. C37×#2321C2semidirect
25. C37×#2318C2semidirect
26. C37×#2318C2semidirect
27. C37×#2315C2semidirect
28. C37×#2311C2semidirect
29. C4×#120×C37C2semidirect
30. C2×C37×#386C2semidirect
31. C2×C37×#385C2semidirect
35. C37×#546C4semidirect
51. C2×C4×D4×C37C22semidirect
52. C2×C4×D4×C37C22semidirect
53. C2×C4×D4×C37C22semidirect
54. C2×C4×D4×C37C22semidirect
55. C2×#117×C37C22semidirect
56. C2×#117×C37C22semidirect
57. C22×C4⋊C4×C37C22semidirect
58. C22×C4⋊C4×C37C22semidirect
66. C37×#391C22semidirect
67. C37×#391C22semidirect
68. C37×#391C22semidirect
69. C37×#391C22semidirect
72. C37×#390C22semidirect
73. C37×#390C22semidirect
74. C37×#390C22semidirect
75. C37×#390C22semidirect
76. C37×#389C22semidirect
77. C37×#389C22semidirect
78. C37×#389C22semidirect
79. C37×#389C22semidirect
80. C37×#388C22semidirect
81. C37×#388C22semidirect
82. C37×#388C22semidirect
83. C37×#388C22semidirect
84. C37×#388C22semidirect
85. C37×#388C22semidirect
86. C37×#388C22semidirect
87. C37×#388C22semidirect
88. C37×#388C22semidirect
89. C37×#388C22semidirect
90. C37×#388C22semidirect
91. C37×#388C22semidirect
92. C37×#388C22semidirect
93. C37×#388C22semidirect
94. C37×#388C22semidirect
95. C37×#388C22semidirect
96. C37×#388C22semidirect
97. C37×#388C22semidirect
98. C37×#387C22semidirect
99. C37×#387C22semidirect
100. C37×#387C22semidirect
101. C37×#387C22semidirect
102. C37×#387C22semidirect
103. C37×#387C22semidirect
104. C37×#387C22semidirect
105. C37×#387C22semidirect
106. C37×#387C22semidirect
107. C37×#387C22semidirect
122. C37×#386C22semidirect
123. C37×#386C22semidirect
124. C37×#386C22semidirect
125. C37×#386C22semidirect
126. C37×#386C22semidirect
127. C37×#386C22semidirect
128. C37×#386C22semidirect
129. C37×#386C22semidirect
138. C37×#385C22semidirect
139. C37×#385C22semidirect
140. C37×#385C22semidirect
141. C37×#385C22semidirect
142. C37×#385C22semidirect
143. C37×#385C22semidirect
144. C37×#385C22semidirect
145. C37×#385C22semidirect
146. C37×#385C22semidirect
147. C37×#385C22semidirect
148. C37×#385C22semidirect
149. C37×#385C22semidirect
150. C37×#385C22semidirect
151. C37×#385C22semidirect
152. C37×#383C22semidirect
153. C37×#382C22semidirect
154. C37×#382C22semidirect
155. C37×#381C22semidirect
156. C37×#381C22semidirect
157. C37×#381C22semidirect
159. C37×#380C22semidirect
160. C37×#380C22semidirect
161. C37×#380C22semidirect
162. C37×#380C22semidirect
163. C37×#380C22semidirect
164. C37×#380C22semidirect
165. C37×#380C22semidirect
166. C37×#380C22semidirect
169. C4×C4⋊C4×C37C22semidirect
170. C4×C4⋊C4×C37C22semidirect
171. C4×C4⋊C4×C37C22semidirect
177. C4×C22⋊C4×C37C22semidirect
178. C4×C22⋊C4×C37C22semidirect
179. C4×C22⋊C4×C37C22semidirect
180. C4×C22⋊C4×C37C22semidirect
181. C4×C22⋊C4×C37C22semidirect
182. C4×C22⋊C4×C37C22semidirect
185. C2×#95×C37C22semidirect
186. C2×#95×C37C22semidirect
187. C2×#95×C37C22semidirect
192. C2×#41×C37C2×C4semidirect
196. C22×D4×C37C2×C4semidirect
229. #124×C37C2×C4semidirect
230. #123×C37C2×C4semidirect
231. #123×C37C2×C4semidirect
232. C22⋊Q8×C37C2×C4semidirect
233. #121×C37C2×C4semidirect
234. #121×C37C2×C4semidirect
235. #121×C37C2×C4semidirect
236. #120×C37C2×C4semidirect
237. #120×C37C2×C4semidirect
246. C4×D4×C37C2×C4semidirect
247. C4×D4×C37C2×C4semidirect
281. C2×C22⋊C4×C37C2×C4semidirect
282. C2×C22⋊C4×C37C2×C4semidirect
405. C2×Q8×C37C22×C4semidirect
432. C2×D4×C37C22×C4semidirect
433. C2×D4×C37C22×C4semidirect
492. C22×C4×C37C22×C4semidirect
493. C22×C4×C37C22×C4semidirect
494. C22×C4×C37C22×C4semidirect
540. C4⋊C4×C37C22×C4semidirect
541. C4⋊C4×C37C22×C4semidirect
542. C4⋊C4×C37C22×C4semidirect
543. C4⋊C4×C37C22×C4semidirect
585. C22⋊C4×C37C22×C4semidirect
586. C22⋊C4×C37C22×C4semidirect
587. C22⋊C4×C37C22×C4semidirect
588. C22⋊C4×C37C22×C4semidirect
589. C22⋊C4×C37C22×C4semidirect
602. C42×C37C22×C4semidirect
765. #34456C37direct (N × H)
843. #2379C2×C37semidirect
844. #2377C2×C37semidirect
845. #2377C2×C37semidirect
846. #2376C2×C37semidirect
847. #2368C2×C37semidirect
848. #2361C2×C37semidirect
849. #2359C2×C37semidirect
850. #2358C2×C37semidirect
851. #2358C2×C37semidirect
852. #2352C2×C37semidirect
853. #2349C2×C37semidirect
854. #2342C2×C37semidirect
855. #2342C2×C37semidirect
856. #2339C2×C37semidirect
857. D4×C22⋊C4C2×C37semidirect
858. #2337C2×C37semidirect
859. #2335C2×C37semidirect
860. #2329C2×C37semidirect
861. #2325C2×C37semidirect
862. #2325C2×C37semidirect
863. #2324C2×C37semidirect
864. #2322C2×C37semidirect
865. #2321C2×C37semidirect
866. #2318C2×C37semidirect
867. #2318C2×C37semidirect
868. #2315C2×C37semidirect
869. #2311C2×C37semidirect
870. C4×#120C2×C37semidirect
871. C2×#386C2×C37semidirect
872. C2×#385C2×C37semidirect
889. #546C4×C37semidirect
905. C2×C4×D4C22×C37semidirect
906. C2×C4×D4C22×C37semidirect
907. C2×C4×D4C22×C37semidirect
908. C2×C4×D4C22×C37semidirect
909. C2×#117C22×C37semidirect
910. C2×#117C22×C37semidirect
911. C22×C4⋊C4C22×C37semidirect
912. C22×C4⋊C4C22×C37semidirect
920. #391C22×C37semidirect
921. #391C22×C37semidirect
922. #391C22×C37semidirect
923. #391C22×C37semidirect
926. #390C22×C37semidirect
927. #390C22×C37semidirect
928. #390C22×C37semidirect
929. #390C22×C37semidirect
930. #389C22×C37semidirect
931. #389C22×C37semidirect
932. #389C22×C37semidirect
933. #389C22×C37semidirect
934. #388C22×C37semidirect
935. #388C22×C37semidirect
936. #388C22×C37semidirect
937. #388C22×C37semidirect
938. #388C22×C37semidirect
939. #388C22×C37semidirect
940. #388C22×C37semidirect
941. #388C22×C37semidirect
942. #388C22×C37semidirect
943. #388C22×C37semidirect
944. #388C22×C37semidirect
945. #388C22×C37semidirect
946. #388C22×C37semidirect
947. #388C22×C37semidirect
948. #388C22×C37semidirect
949. #388C22×C37semidirect
950. #388C22×C37semidirect
951. #388C22×C37semidirect
952. #387C22×C37semidirect
953. #387C22×C37semidirect
954. #387C22×C37semidirect
955. #387C22×C37semidirect
956. #387C22×C37semidirect
957. #387C22×C37semidirect
958. #387C22×C37semidirect
959. #387C22×C37semidirect
960. #387C22×C37semidirect
961. #387C22×C37semidirect
976. #386C22×C37semidirect
977. #386C22×C37semidirect
978. #386C22×C37semidirect
979. #386C22×C37semidirect
980. #386C22×C37semidirect
981. #386C22×C37semidirect
982. #386C22×C37semidirect
983. #386C22×C37semidirect
992. #385C22×C37semidirect
993. #385C22×C37semidirect
994. #385C22×C37semidirect
995. #385C22×C37semidirect
996. #385C22×C37semidirect
997. #385C22×C37semidirect
998. #385C22×C37semidirect
999. #385C22×C37semidirect
1000. #385C22×C37semidirect
1001. #385C22×C37semidirect
1002. #385C22×C37semidirect
1003. #385C22×C37semidirect
1004. #385C22×C37semidirect
1005. #385C22×C37semidirect
1006. #383C22×C37semidirect
1007. #382C22×C37semidirect
1008. #382C22×C37semidirect
1009. #381C22×C37semidirect
1010. #381C22×C37semidirect
1011. #381C22×C37semidirect
1013. #380C22×C37semidirect
1014. #380C22×C37semidirect
1015. #380C22×C37semidirect
1016. #380C22×C37semidirect
1017. #380C22×C37semidirect
1018. #380C22×C37semidirect
1019. #380C22×C37semidirect
1020. #380C22×C37semidirect
1023. C4×C4⋊C4C22×C37semidirect
1024. C4×C4⋊C4C22×C37semidirect
1025. C4×C4⋊C4C22×C37semidirect
1031. C4×C22⋊C4C22×C37semidirect
1032. C4×C22⋊C4C22×C37semidirect
1033. C4×C22⋊C4C22×C37semidirect
1034. C4×C22⋊C4C22×C37semidirect
1035. C4×C22⋊C4C22×C37semidirect
1036. C4×C22⋊C4C22×C37semidirect
1039. C2×#95C22×C37semidirect
1040. C2×#95C22×C37semidirect
1041. C2×#95C22×C37semidirect
1042. C37#34456direct (N × H)
1047. C2×#41C2×C4×C37semidirect
1051. C22×D4C2×C4×C37semidirect
1084. #124C2×C4×C37semidirect
1085. #123C2×C4×C37semidirect
1086. #123C2×C4×C37semidirect
1087. C22⋊Q8C2×C4×C37semidirect
1088. #121C2×C4×C37semidirect
1089. #121C2×C4×C37semidirect
1090. #121C2×C4×C37semidirect
1091. #120C2×C4×C37semidirect
1092. #120C2×C4×C37semidirect
1101. C4×D4C2×C4×C37semidirect
1102. C4×D4C2×C4×C37semidirect
1136. C2×C22⋊C4C2×C4×C37semidirect
1137. C2×C22⋊C4C2×C4×C37semidirect
1260. C2×Q8C22×C4×C37semidirect
1287. C2×D4C22×C4×C37semidirect
1288. C2×D4C22×C4×C37semidirect
1347. C22×C4C22×C4×C37semidirect
1348. C22×C4C22×C4×C37semidirect
1349. C22×C4C22×C4×C37semidirect
1395. C4⋊C4C22×C4×C37semidirect
1396. C4⋊C4C22×C4×C37semidirect
1397. C4⋊C4C22×C4×C37semidirect
1398. C4⋊C4C22×C4×C37semidirect
1440. C22⋊C4C22×C4×C37semidirect
1441. C22⋊C4C22×C4×C37semidirect
1442. C22⋊C4C22×C4×C37semidirect
1443. C22⋊C4C22×C4×C37semidirect
1444. C22⋊C4C22×C4×C37semidirect
1457. C42C22×C4×C37semidirect

Maximal subgroups

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

subgroupindex
C2×C37×#5462
C37×#23792
C37×#23772
C37×#23762
C37×#23682
C37×#23612
C37×#23592
C37×#23582
C37×#23522
C37×#23492
C37×#23422
C37×#23392
D4×C22⋊C4×C372
C37×#23372
C37×#23352
C37×#23292
C37×#23252
C37×#23242
C37×#23222
C37×#23212
C37×#23182
C37×#23152
C37×#23112
C4×#120×C372
C2×C37×#3862
C2×C37×#3852
#3445637