Finite Group Databasebeta

← C37×#34999 #22656252

Subgroups — C37×#34999 #22656252

Order 9472.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2855C211yesmaximal, characteristic, complemented
2C37×#2853C211yesmaximal, characteristic, complemented
3C37×#2852C211yesmaximal, characteristic, complemented
4C37×#2851C211yesmaximal, characteristic, complemented
5C37×#2653C211yesmaximal, characteristic, complemented
6C37×#2652C211yesmaximal, characteristic, complemented
7C37×#2652C211yesmaximal, characteristic, complemented
8C37×#2649C211yesmaximal, characteristic, complemented
9C37×#2523C211yesmaximal, characteristic, complemented
10C37×#2517C211yesmaximal, characteristic, complemented
11C37×#2505C211yesmaximal, characteristic, complemented
12C37×#2493C211yesmaximal, characteristic, complemented
13C37×#2493C211yesmaximal, characteristic, complemented
14C37×#2488C211yesmaximal, characteristic, complemented
15C37×#2483C211yesmaximal, characteristic, complemented
16C37×#2481C211yesmaximal, characteristic, complemented
17C37×#2473C211yesmaximal, characteristic, complemented
18C37×#2466C211yesmaximal, characteristic, complemented
19C37×#2460C211yesmaximal, characteristic, complemented
20C37×#2450C211yesmaximal, characteristic, complemented
21C37×#2437C211yesmaximal, characteristic, complemented
22C37×#2419C211yesmaximal, characteristic, complemented
23C37×#2412C211yesmaximal, characteristic
24C37×#2412C211yesmaximal, characteristic
25C37×#2329C211yesmaximal, characteristic, complemented
26C37×#2322C211yesmaximal, characteristic, complemented
27C37×#2318C211yesmaximal, characteristic, complemented
28C37×#2313C211yesmaximal, characteristic, complemented
29C4×#120×C37C211yesmaximal, characteristic
30C2×C37×#385C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C37C211yesmaximal, characteristic, complemented
32C24×C4×C37C2211yescharacteristic
33C2×#126×C37C2211yescharacteristic, complemented
34C2×#125×C37C2211yescharacteristic, complemented
35C2×#123×C37C2211yescharacteristic
36C2×#123×C37C2211yescharacteristic
37C2×C22⋊Q8×C37C2211yescharacteristic
38C2×C22⋊Q8×C37C2211yescharacteristic
39C2×#120×C37C2211yescharacteristic
40C2×C4×D4×C37C2211yescharacteristic
41C2×C4×D4×C37C2211yescharacteristic
42C2×C4×D4×C37C2211yescharacteristic
43C22×C4⋊C4×C37C2211yescharacteristic
44C22×C4⋊C4×C37C2211yescharacteristic
45C22×C22⋊C4×C37C2211yescharacteristic
46C22×C22⋊C4×C37C2211yescharacteristic
47C22×C22⋊C4×C37C2211yescharacteristic
48C22×C22⋊C4×C37C2211yescharacteristic
49C22×C42×C37C2211yescharacteristic
50C22×C42×C37C2211yescharacteristic
51C37×#401C2211yescharacteristic, complemented
52C37×#400C2211yescharacteristic, complemented
53C37×#400C2211yescharacteristic, complemented
54C37×#400C2211yescharacteristic, complemented
55C37×#400C2211yescharacteristic, complemented
56C37×#400C2211yescharacteristic, complemented
57C37×#400C2211yescharacteristic, complemented
58C37×#400C2211yescharacteristic, complemented
59C37×#400C2211yescharacteristic, complemented
60C37×#399C2211yescharacteristic
61C37×#398C2211yescharacteristic, complemented
62C37×#398C2211yescharacteristic, complemented
63C37×#398C2211yescharacteristic, complemented
64C37×#397C2211yescharacteristic
65C37×#397C2211yescharacteristic
66C37×#397C2211yescharacteristic
67C37×#397C2211yescharacteristic
68C37×#397C2211yescharacteristic
69C37×#397C2211yescharacteristic
70C37×#397C2211yescharacteristic
71C37×#397C2211yescharacteristic
72C37×#397C2211yescharacteristic, complemented
73C37×#397C2211yescharacteristic, complemented
74C37×#396C2211yescharacteristic
75C37×#396C2211yescharacteristic
76C37×#396C2211yescharacteristic, complemented
77C37×#394C2211yescharacteristic
78C37×#394C2211yescharacteristic
79C37×#394C2211yescharacteristic
80C37×#394C2211yescharacteristic
81C37×#393C2211yescharacteristic
82C37×#393C2211yescharacteristic, complemented
83C37×#391C2211yescharacteristic, complemented
84C37×#391C2211yescharacteristic, complemented
85C37×#391C2211yescharacteristic, complemented
86C37×#389C2211yescharacteristic, complemented
87C37×#389C2211yescharacteristic, complemented
88C37×#389C2211yescharacteristic, complemented
89C37×#389C2211yescharacteristic, complemented
90C37×#389C2211yescharacteristic, 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×#387C2211yescharacteristic, complemented
109C37×#387C2211yescharacteristic, 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×#386C2211yescharacteristic
122C37×#386C2211yescharacteristic
123C37×#386C2211yescharacteristic
124C37×#386C2211yescharacteristic
125C37×#386C2211yescharacteristic
126C37×#386C2211yescharacteristic
127C37×#386C2211yescharacteristic
128C37×#386C2211yescharacteristic
129C37×#386C2211yescharacteristic
130C37×#385C2211yescharacteristic
131C37×#385C2211yescharacteristic
132C37×#385C2211yescharacteristic
133C37×#385C2211yescharacteristic
134C37×#385C2211yescharacteristic
135C37×#385C2211yescharacteristic
136C37×#385C2211yescharacteristic
137C37×#385C2211yescharacteristic
138C37×#385C2211yescharacteristic
139C37×#385C2211yescharacteristic
140C37×#385C2211yescharacteristic
141C37×#385C2211yescharacteristic
142C37×#385C2211yescharacteristic
143C37×#385C2211yescharacteristic
144C37×#385C2211yescharacteristic
145C37×#385C2211yescharacteristic
146C37×#385C2211yescharacteristic
147C37×#385C2211yescharacteristic
148C37×#385C2211yescharacteristic
149C37×#385C2211yescharacteristic
150C37×#385C2211yescharacteristic
151C37×#385C2211yescharacteristic, complemented
152C37×#385C2211yescharacteristic, complemented
153C37×#383C2211yescharacteristic, complemented
154C37×#383C2211yescharacteristic, complemented
155C37×#382C2211yescharacteristic, complemented
156C37×#382C2211yescharacteristic, complemented
157C37×#381C2211yescharacteristic
158C37×#381C2211yescharacteristic
159C37×#381C2211yescharacteristic
160C37×#381C2211yescharacteristic
161C37×#381C2211yescharacteristic
162C37×#381C2211yescharacteristic
163C37×#381C2211yescharacteristic, complemented
164C37×#380C2211yescharacteristic
165C37×#380C2211yescharacteristic
166C37×#380C2211yescharacteristic
167C37×#380C2211yescharacteristic
168C37×#380C2211yescharacteristic
169C37×#380C2211yescharacteristic
170C37×#380C2211yescharacteristic, complemented
171C37×#379C2211yescharacteristic
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
182C4×C22⋊C4×C37C2211yescharacteristic
183C2×#95×C37C2211yescharacteristic
184C2×#95×C37C2211yescharacteristic
185C2×#95×C37C2211yescharacteristic
186C2×#95×C37C2211yescharacteristic
187C25×C37C2311yescharacteristic
188C22×Q8×C37C2311yescharacteristic
189C22×D4×C37C2311yescharacteristic
190C22×D4×C37C2311yescharacteristic
191C22×D4×C37C2311yescharacteristic
192C23×C4×C37—24no—
193C23×C4×C37—42no—
194C23×C4×C37—42no—
195C23×C4×C37C2311yescharacteristic
196C23×C4×C37C2311yescharacteristic
197C23×C4×C37C2311yescharacteristic
198C23×C4×C37C2311yescharacteristic
199C23×C4×C37C2311yescharacteristic
200C23×C4×C37C2311yescharacteristic
201C23×C4×C37C2311yescharacteristic
202C23×C4×C37C2311yescharacteristic
203C23×C4×C37C2311yescharacteristic
204C23×C4×C37C2311yescharacteristic
205C23×C4×C37C2311yescharacteristic
206C23×C4×C37C2311yescharacteristic
207C23×C4×C37C2311yescharacteristic
208C23×C4×C37C2311yescharacteristic
209C23×C4×C37C2311yescharacteristic
210#126×C37—42no—
211#125×C37—42no—
212#123×C37—24no—
213#123×C37—42no—
214C22⋊Q8×C37—24no—
215C22⋊Q8×C37—42no—
216#120×C37—24no—
217C4×D4×C37—24no—
218C4×D4×C37—42no—
219C4×D4×C37—42no—
220C2×C4⋊C4×C37—24no—
221C2×C4⋊C4×C37—42no—
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×C4⋊C4×C37C2311yescharacteristic
251C2×C4⋊C4×C37C2311yescharacteristic
252C2×C4⋊C4×C37C2311yescharacteristic
253C2×C4⋊C4×C37C2311yescharacteristic
254C2×C22⋊C4×C37—24no—
255C2×C22⋊C4×C37—24no—
256C2×C22⋊C4×C37—24no—
257C2×C22⋊C4×C37—42no—
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×C42×C37—42no—
295C2×C42×C37—42no—
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
307#95×C37C2311yescharacteristic
308#95×C37C2311yescharacteristic
309#95×C37C2311yescharacteristic
310#95×C37C2311yescharacteristic
311#95×C37C2311yescharacteristic
312#95×C37C2311yescharacteristic
313#95×C37C2311yescharacteristic
314#95×C37C2311yescharacteristic
315#95×C37C2311yescharacteristic
316#95×C37C2311yescharacteristic
317#95×C37C2311yescharacteristic
318#95×C37C2311yescharacteristic
319#95×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
363C24×C37—22no—
364C24×C37—22no—
365C24×C37—22no—
366C24×C37—22no—
367C24×C37—41no—
368C24×C37—41no—
369C24×C37#4114yes—
370C24×C37C2411yescharacteristic
371C24×C37C2411yescharacteristic
372C24×C37C2411yescharacteristic
373C24×C37C2411yescharacteristic
374C2×Q8×C37—22no—
375C2×Q8×C37—41no—
376C2×Q8×C37—41no—
377C2×D4×C37—22no—
378C2×D4×C37—22no—
379C2×D4×C37—22no—
380C2×D4×C37—22no—
381C2×D4×C37—22no—
382C2×D4×C37—22no—
383C2×D4×C37—22no—
384C2×D4×C37—41no—
385C2×D4×C37—41no—
386C22×C4×C37—22no—
387C22×C4×C37—22no—
388C22×C4×C37—22no—
389C22×C4×C37—22no—
390C22×C4×C37—22no—
391C22×C4×C37—22no—
392C22×C4×C37—22no—
393C22×C4×C37—22no—
394C22×C4×C37—22no—
395C22×C4×C37—22no—
396C22×C4×C37—22no—
397C22×C4×C37—22no—
398C22×C4×C37—22no—
399C22×C4×C37—22no—
400C22×C4×C37—22no—
401C22×C4×C37—22no—
402C22×C4×C37—22no—
403C22×C4×C37—22no—
404C22×C4×C37—22no—
405C22×C4×C37—22no—
406C22×C4×C37—22no—
407C22×C4×C37—22no—
408C22×C4×C37—22no—
409C22×C4×C37—22no—
410C22×C4×C37—22no—
411C22×C4×C37—41no—
412C22×C4×C37—41no—
413C22×C4×C37—41no—
414C22×C4×C37—41no—
415C22×C4×C37—41no—
416C22×C4×C37—41no—
417C22×C4×C37—41no—
418C22×C4×C37—41no—
419C22×C4×C37—41no—
420C22×C4×C37—41no—
421C22×C4×C37—41no—
422C22×C4×C37—41no—
423C22×C4×C37—41no—
424C22×C4×C37—41no—
425C22×C4×C37—41no—
426C22×C4×C37—41no—
427C22×C4×C37—41no—
428C22×C4×C37—41no—
429C22×C4×C37—41no—
430C22×C4×C37—416no—
431C22×C4×C37#4114yes—
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
441C22×C4×C37C2411yescharacteristic
442C22×C4×C37C2411yescharacteristic
443C22×C4×C37C2411yescharacteristic
444C22×C4×C37C2411yescharacteristic
445C22×C4×C37C2411yescharacteristic
446C22×C4×C37C2411yescharacteristic
447C22×C4×C37C2411yescharacteristic
448C22×C4×C37C2411yescharacteristic
449C22×C4×C37C2411yescharacteristic
450C22×C4×C37C2411yescharacteristic
451C22×C4×C37C2411yescharacteristic
452C22×C4×C37C2411yescharacteristic
453C22×C4×C37C2411yescharacteristic
454C22×C4×C37C2411yescharacteristic
455C22×C4×C37C2411yescharacteristic
456C22×C4×C37C2411yescharacteristic
457C22×C4×C37C2411yescharacteristic
458C22×C4×C37C2411yescharacteristic
459C4⋊C4×C37—22no—
460C4⋊C4×C37—22no—
461C4⋊C4×C37—22no—
462C4⋊C4×C37—22no—
463C4⋊C4×C37—22no—
464C4⋊C4×C37—22no—
465C4⋊C4×C37—22no—
466C4⋊C4×C37—22no—
467C4⋊C4×C37—22no—
468C4⋊C4×C37—22no—
469C4⋊C4×C37—22no—
470C4⋊C4×C37—22no—
471C4⋊C4×C37—22no—
472C4⋊C4×C37—41no—
473C4⋊C4×C37—41no—
474C4⋊C4×C37—41no—
475C4⋊C4×C37—41no—
476C4⋊C4×C37—41no—
477C4⋊C4×C37—41no—
478C4⋊C4×C37—41no—
479C4⋊C4×C37—41no—
480C4⋊C4×C37—41no—
481C4⋊C4×C37—41no—
482C4⋊C4×C37—41no—
483C4⋊C4×C37—41no—
484C4⋊C4×C37—41no—
485C4⋊C4×C37—41no—
486C4⋊C4×C37—41no—
487C4⋊C4×C37—41no—
488C4⋊C4×C37—41no—
489C4⋊C4×C37—41no—
490C4⋊C4×C37—41no—
491C22⋊C4×C37—22no—
492C22⋊C4×C37—22no—
493C22⋊C4×C37—22no—
494C22⋊C4×C37—22no—
495C22⋊C4×C37—22no—
496C22⋊C4×C37—22no—
497C22⋊C4×C37—22no—
498C22⋊C4×C37—22no—
499C22⋊C4×C37—22no—
500C22⋊C4×C37—22no—
501C22⋊C4×C37—22no—
502C22⋊C4×C37—22no—
503C22⋊C4×C37—22no—
504C22⋊C4×C37—22no—
505C22⋊C4×C37—22no—
506C22⋊C4×C37—22no—
507C22⋊C4×C37—22no—
508C22⋊C4×C37—22no—
509C22⋊C4×C37—22no—
510C22⋊C4×C37—22no—
511C22⋊C4×C37—22no—
512C22⋊C4×C37—22no—
513C22⋊C4×C37—22no—
514C22⋊C4×C37—22no—
515C22⋊C4×C37—41no—
516C22⋊C4×C37—41no—
517C22⋊C4×C37—41no—
518C22⋊C4×C37—41no—
519C22⋊C4×C37—41no—
520C22⋊C4×C37—41no—
521C22⋊C4×C37—41no—
522C22⋊C4×C37—41no—
523C22⋊C4×C37—41no—
524C22⋊C4×C37—41no—
525C22⋊C4×C37—41no—
526C22⋊C4×C37#4114yes—
527C42×C37—22no—
528C42×C37—22no—
529C42×C37—22no—
530C42×C37—41no—
531C42×C37—41no—
532C42×C37—41no—
533C42×C37—41no—
534C42×C37—41no—
535C42×C37—41no—
536C42×C37—41no—
537C42×C37—41no—
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—28no—
547C23×C37—28no—
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—44no—
562C23×C37—44no—
563C23×C37—44no—
564C23×C37—44no—
565C23×C37—44no—
566C23×C37C2×#4112yes—
567C23×C37C2×#4112yes—
568C23×C37C2×#4112yes—
569C23×C37C2×#4112yes—
570C23×C37C2×#4112yes—
571C23×C37H(5,𝔽2)12yes—
572C23×C372−1+412yes—
573C23×C37C2511yescharacteristic
574Q8×C37—82no—
575D4×C37—44no—
576D4×C37—44no—
577D4×C37—44no—
578C2×C4×C37—28no—
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—21no—
648C2×C4×C37—21no—
649C2×C4×C37—21no—
650C2×C4×C37—21no—
651C2×C4×C37—21no—
652C2×C4×C37—21no—
653C2×C4×C37—21no—
654C2×C4×C37—21no—
655C2×C4×C37—44no—
656C2×C4×C37—44no—
657C2×C4×C37—44no—
658C2×C4×C37—44no—
659C2×C4×C37—44no—
660C2×C4×C37—44no—
661C2×C4×C37—44no—
662C2×C4×C37—44no—
663C2×C4×C37—44no—
664C2×C4×C37—44no—
665C2×C4×C37—44no—
666C2×C4×C37—82no—
667C2×C4×C37—82no—
668C2×C4×C37—82no—
669C2×C4×C37C2×#4112yes—
670C2×C4×C37C2×#4112yes—
671C2×C4×C37C2×#4112yes—
672C2×C4×C37C2×#4112yes—
673C2×C4×C37H(5,𝔽2)12yes—
674#34999C3711yesmaximal, characteristic, direct product factor, Sylow
675C22×C37—22no—
676C22×C37—22no—
677C22×C37—22no—
678C22×C37—22no—
679C22×C37—22no—
680C22×C37—22no—
681C22×C37—22no—
682C22×C37—22no—
683C22×C37—22no—
684C22×C37—22no—
685C22×C37—22no—
686C22×C37—22no—
687C22×C37—22no—
688C22×C37—22no—
689C22×C37—22no—
690C22×C37—416no—
691C22×C37—41no—
692C22×C37—41no—
693C22×C37—41no—
694C22×C37—41no—
695C22×C37—41no—
696C22×C37—41no—
697C22×C37—41no—
698C22×C37—41no—
699C22×C37—41no—
700C22×C37—41no—
701C22×C37—41no—
702C22×C37#52914yes—
703C22×C37#53914yes—
704C22×C37C22×#4111yescharacteristic
705C22×C37C22×#4111yescharacteristic
706C22×C37C22×#4111yescharacteristic
707C22×C37C2×H(5,𝔽2)11yescharacteristic
708C22×C37C2×H(5,𝔽2)11yescharacteristic
709C22×C37C2×2−1+411yescharacteristic
710C22×C37#58511yescharacteristic
711C4×C37—22no—
712C4×C37—22no—
713C4×C37—22no—
714C4×C37—22no—
715C4×C37—22no—
716C4×C37—41no—
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—
732C4×C37—41no—
733C4×C37—41no—
734C4×C37—41no—
735C4×C37—41no—
736C4×C37—41no—
737C4×C37—41no—
738#2855C2×C3711yescharacteristic, complemented
739#2853C2×C3711yescharacteristic, complemented
740#2852C2×C3711yescharacteristic, complemented
741#2851C2×C3711yescharacteristic, complemented
742#2653C2×C3711yescharacteristic, complemented
743#2652C2×C3711yescharacteristic, complemented
744#2652C2×C3711yescharacteristic, complemented
745#2649C2×C3711yescharacteristic, complemented
746#2523C2×C3711yescharacteristic, complemented
747#2517C2×C3711yescharacteristic, complemented
748#2505C2×C3711yescharacteristic, complemented
749#2493C2×C3711yescharacteristic, complemented
750#2493C2×C3711yescharacteristic, complemented
751#2488C2×C3711yescharacteristic, complemented
752#2483C2×C3711yescharacteristic, complemented
753#2481C2×C3711yescharacteristic, complemented
754#2473C2×C3711yescharacteristic, complemented
755#2466C2×C3711yescharacteristic, complemented
756#2460C2×C3711yescharacteristic, complemented
757#2450C2×C3711yescharacteristic, complemented
758#2437C2×C3711yescharacteristic, complemented
759#2419C2×C3711yescharacteristic, complemented
760#2412C2×C3711yescharacteristic
761#2412C2×C3711yescharacteristic
762#2329C2×C3711yescharacteristic, complemented
763#2322C2×C3711yescharacteristic, complemented
764#2318C2×C3711yescharacteristic, complemented
765#2313C2×C3711yescharacteristic, complemented
766C4×#120C2×C3711yescharacteristic
767C2×#385C2×C3711yescharacteristic, complemented
768C2×C4×C22⋊C4C2×C3711yescharacteristic, complemented
769C2×C37—24no—
770C2×C37—24no—
771C2×C37—42no—
772C2×C37—81no—
773C2×C37C2×#52911yescharacteristic
774C2×C37C2×#53911yescharacteristic
775C2×C37#345911yescharacteristic
776C2×C37#349011yescharacteristic
777C2×C37#349511yescharacteristic
778C2×C37#351311yescharacteristic
779C2×C37#352011yescharacteristic
780C24×C4C22×C3711yescharacteristic
781C2×#126C22×C3711yescharacteristic, complemented
782C2×#125C22×C3711yescharacteristic, complemented
783C2×#123C22×C3711yescharacteristic
784C2×#123C22×C3711yescharacteristic
785C2×C22⋊Q8C22×C3711yescharacteristic
786C2×C22⋊Q8C22×C3711yescharacteristic
787C2×#120C22×C3711yescharacteristic
788C2×C4×D4C22×C3711yescharacteristic
789C2×C4×D4C22×C3711yescharacteristic
790C2×C4×D4C22×C3711yescharacteristic
791C22×C4⋊C4C22×C3711yescharacteristic
792C22×C4⋊C4C22×C3711yescharacteristic
793C22×C22⋊C4C22×C3711yescharacteristic
794C22×C22⋊C4C22×C3711yescharacteristic
795C22×C22⋊C4C22×C3711yescharacteristic
796C22×C22⋊C4C22×C3711yescharacteristic
797C22×C42C22×C3711yescharacteristic
798C22×C42C22×C3711yescharacteristic
799#401C22×C3711yescharacteristic, complemented
800#400C22×C3711yescharacteristic, complemented
801#400C22×C3711yescharacteristic, complemented
802#400C22×C3711yescharacteristic, complemented
803#400C22×C3711yescharacteristic, complemented
804#400C22×C3711yescharacteristic, complemented
805#400C22×C3711yescharacteristic, complemented
806#400C22×C3711yescharacteristic, complemented
807#400C22×C3711yescharacteristic, complemented
808#399C22×C3711yescharacteristic
809#398C22×C3711yescharacteristic, complemented
810#398C22×C3711yescharacteristic, complemented
811#398C22×C3711yescharacteristic, complemented
812#397C22×C3711yescharacteristic
813#397C22×C3711yescharacteristic
814#397C22×C3711yescharacteristic
815#397C22×C3711yescharacteristic
816#397C22×C3711yescharacteristic
817#397C22×C3711yescharacteristic
818#397C22×C3711yescharacteristic
819#397C22×C3711yescharacteristic
820#397C22×C3711yescharacteristic, complemented
821#397C22×C3711yescharacteristic, complemented
822#396C22×C3711yescharacteristic
823#396C22×C3711yescharacteristic
824#396C22×C3711yescharacteristic, complemented
825#394C22×C3711yescharacteristic
826#394C22×C3711yescharacteristic
827#394C22×C3711yescharacteristic
828#394C22×C3711yescharacteristic
829#393C22×C3711yescharacteristic
830#393C22×C3711yescharacteristic, complemented
831#391C22×C3711yescharacteristic, complemented
832#391C22×C3711yescharacteristic, complemented
833#391C22×C3711yescharacteristic, complemented
834#389C22×C3711yescharacteristic, complemented
835#389C22×C3711yescharacteristic, complemented
836#389C22×C3711yescharacteristic, complemented
837#389C22×C3711yescharacteristic, complemented
838#389C22×C3711yescharacteristic, complemented
839#388C22×C3711yescharacteristic, complemented
840#388C22×C3711yescharacteristic, complemented
841#388C22×C3711yescharacteristic, complemented
842#388C22×C3711yescharacteristic, complemented
843#388C22×C3711yescharacteristic, complemented
844#388C22×C3711yescharacteristic, complemented
845#388C22×C3711yescharacteristic, complemented
846#387C22×C3711yescharacteristic, complemented
847#387C22×C3711yescharacteristic, complemented
848#387C22×C3711yescharacteristic, complemented
849#387C22×C3711yescharacteristic, complemented
850#387C22×C3711yescharacteristic, complemented
851#387C22×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#387C22×C3711yescharacteristic, complemented
869#386C22×C3711yescharacteristic
870#386C22×C3711yescharacteristic
871#386C22×C3711yescharacteristic
872#386C22×C3711yescharacteristic
873#386C22×C3711yescharacteristic
874#386C22×C3711yescharacteristic
875#386C22×C3711yescharacteristic
876#386C22×C3711yescharacteristic
877#386C22×C3711yescharacteristic
878#385C22×C3711yescharacteristic
879#385C22×C3711yescharacteristic
880#385C22×C3711yescharacteristic
881#385C22×C3711yescharacteristic
882#385C22×C3711yescharacteristic
883#385C22×C3711yescharacteristic
884#385C22×C3711yescharacteristic
885#385C22×C3711yescharacteristic
886#385C22×C3711yescharacteristic
887#385C22×C3711yescharacteristic
888#385C22×C3711yescharacteristic
889#385C22×C3711yescharacteristic
890#385C22×C3711yescharacteristic
891#385C22×C3711yescharacteristic
892#385C22×C3711yescharacteristic
893#385C22×C3711yescharacteristic
894#385C22×C3711yescharacteristic
895#385C22×C3711yescharacteristic
896#385C22×C3711yescharacteristic
897#385C22×C3711yescharacteristic
898#385C22×C3711yescharacteristic
899#385C22×C3711yescharacteristic, complemented
900#385C22×C3711yescharacteristic, complemented
901#383C22×C3711yescharacteristic, complemented
902#383C22×C3711yescharacteristic, complemented
903#382C22×C3711yescharacteristic, complemented
904#382C22×C3711yescharacteristic, complemented
905#381C22×C3711yescharacteristic
906#381C22×C3711yescharacteristic
907#381C22×C3711yescharacteristic
908#381C22×C3711yescharacteristic
909#381C22×C3711yescharacteristic
910#381C22×C3711yescharacteristic
911#381C22×C3711yescharacteristic, complemented
912#380C22×C3711yescharacteristic
913#380C22×C3711yescharacteristic
914#380C22×C3711yescharacteristic
915#380C22×C3711yescharacteristic
916#380C22×C3711yescharacteristic
917#380C22×C3711yescharacteristic
918#380C22×C3711yescharacteristic, complemented
919#379C22×C3711yescharacteristic
920C4×C22⋊C4C22×C3711yescharacteristic
921C4×C22⋊C4C22×C3711yescharacteristic
922C4×C22⋊C4C22×C3711yescharacteristic
923C4×C22⋊C4C22×C3711yescharacteristic
924C4×C22⋊C4C22×C3711yescharacteristic
925C4×C22⋊C4C22×C3711yescharacteristic
926C4×C22⋊C4C22×C3711yescharacteristic
927C4×C22⋊C4C22×C3711yescharacteristic
928C4×C22⋊C4C22×C3711yescharacteristic
929C4×C22⋊C4C22×C3711yescharacteristic
930C4×C22⋊C4C22×C3711yescharacteristic
931C2×#95C22×C3711yescharacteristic
932C2×#95C22×C3711yescharacteristic
933C2×#95C22×C3711yescharacteristic
934C2×#95C22×C3711yescharacteristic
935C37#3499911yescharacteristic, direct product factor, Sylow
936C25C23×C3711yescharacteristic
937C22×Q8C23×C3711yescharacteristic
938C22×D4C23×C3711yescharacteristic
939C22×D4C23×C3711yescharacteristic
940C22×D4C23×C3711yescharacteristic
941C23×C4—24no—
942C23×C4—42no—
943C23×C4—42no—
944C23×C4C23×C3711yescharacteristic
945C23×C4C23×C3711yescharacteristic
946C23×C4C23×C3711yescharacteristic
947C23×C4C23×C3711yescharacteristic
948C23×C4C23×C3711yescharacteristic
949C23×C4C23×C3711yescharacteristic
950C23×C4C23×C3711yescharacteristic
951C23×C4C23×C3711yescharacteristic
952C23×C4C23×C3711yescharacteristic
953C23×C4C23×C3711yescharacteristic
954C23×C4C23×C3711yescharacteristic
955C23×C4C23×C3711yescharacteristic
956C23×C4C23×C3711yescharacteristic
957C23×C4C23×C3711yescharacteristic
958C23×C4C23×C3711yescharacteristic
959#126—42no—
960#125—42no—
961#123—24no—
962#123—42no—
963C22⋊Q8—24no—
964C22⋊Q8—42no—
965#120—24no—
966C4×D4—24no—
967C4×D4—42no—
968C4×D4—42no—
969C2×C4⋊C4—24no—
970C2×C4⋊C4—42no—
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×C4⋊C4C23×C3711yescharacteristic
994C2×C4⋊C4C23×C3711yescharacteristic
995C2×C4⋊C4C23×C3711yescharacteristic
996C2×C4⋊C4C23×C3711yescharacteristic
997C2×C4⋊C4C23×C3711yescharacteristic
998C2×C4⋊C4C23×C3711yescharacteristic
999C2×C4⋊C4C23×C3711yescharacteristic
1000C2×C4⋊C4C23×C3711yescharacteristic
1001C2×C4⋊C4C23×C3711yescharacteristic
1002C2×C4⋊C4C23×C3711yescharacteristic
1003C2×C22⋊C4—24no—
1004C2×C22⋊C4—24no—
1005C2×C22⋊C4—24no—
1006C2×C22⋊C4—42no—
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×C22⋊C4C23×C3711yescharacteristic
1039C2×C22⋊C4C23×C3711yescharacteristic
1040C2×C22⋊C4C23×C3711yescharacteristic
1041C2×C22⋊C4C23×C3711yescharacteristic
1042C2×C22⋊C4C23×C3711yescharacteristic
1043C2×C42—42no—
1044C2×C42—42no—
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
1056#95C23×C3711yescharacteristic
1057#95C23×C3711yescharacteristic
1058#95C23×C3711yescharacteristic
1059#95C23×C3711yescharacteristic
1060#95C23×C3711yescharacteristic
1061#95C23×C3711yescharacteristic
1062#95C23×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
1107#95C23×C3711yescharacteristic
1108#95C23×C3711yescharacteristic
1109#95C23×C3711yescharacteristic
1110#95C23×C3711yescharacteristic
1111#95C23×C3711yescharacteristic
1112C24—22no—
1113C24—22no—
1114C24—22no—
1115C24—22no—
1116C24—41no—
1117C24—41no—
1118C24#41×C3714yes—
1119C24C24×C3711yescharacteristic
1120C24C24×C3711yescharacteristic
1121C24C24×C3711yescharacteristic
1122C24C24×C3711yescharacteristic
1123C2×Q8—22no—
1124C2×Q8—41no—
1125C2×Q8—41no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—416no—
1180C22×C4#41×C3714yes—
1181C22×C4C24×C3711yescharacteristic
1182C22×C4C24×C3711yescharacteristic
1183C22×C4C24×C3711yescharacteristic
1184C22×C4C24×C3711yescharacteristic
1185C22×C4C24×C3711yescharacteristic
1186C22×C4C24×C3711yescharacteristic
1187C22×C4C24×C3711yescharacteristic
1188C22×C4C24×C3711yescharacteristic
1189C22×C4C24×C3711yescharacteristic
1190C22×C4C24×C3711yescharacteristic
1191C22×C4C24×C3711yescharacteristic
1192C22×C4C24×C3711yescharacteristic
1193C22×C4C24×C3711yescharacteristic
1194C22×C4C24×C3711yescharacteristic
1195C22×C4C24×C3711yescharacteristic
1196C22×C4C24×C3711yescharacteristic
1197C22×C4C24×C3711yescharacteristic
1198C22×C4C24×C3711yescharacteristic
1199C22×C4C24×C3711yescharacteristic
1200C22×C4C24×C3711yescharacteristic
1201C22×C4C24×C3711yescharacteristic
1202C22×C4C24×C3711yescharacteristic
1203C22×C4C24×C3711yescharacteristic
1204C22×C4C24×C3711yescharacteristic
1205C22×C4C24×C3711yescharacteristic
1206C22×C4C24×C3711yescharacteristic
1207C22×C4C24×C3711yescharacteristic
1208C4⋊C4—22no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—22no—
1212C4⋊C4—22no—
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4#41×C3714yes—
1276C42—22no—
1277C42—22no—
1278C42—22no—
1279C42—41no—
1280C42—41no—
1281C42—41no—
1282C42—41no—
1283C42—41no—
1284C42—41no—
1285C42—41no—
1286C42—41no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—28no—
1296C23—28no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—44no—
1311C23—44no—
1312C23—44no—
1313C23—44no—
1314C23—44no—
1315C23C2×#41×C3712yes—
1316C23C2×#41×C3712yes—
1317C23C2×#41×C3712yes—
1318C23C2×#41×C3712yes—
1319C23C2×#41×C3712yes—
1320C23H(5,𝔽2)×C3712yes—
1321C232−1+4×C3712yes—
1322C23C25×C3711yescharacteristic
1323Q8—82no—
1324D4—44no—
1325D4—44no—
1326D4—44no—
1327C2×C4—28no—
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—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—82no—
1416C2×C4—82no—
1417C2×C4—82no—
1418C2×C4C2×#41×C3712yes—
1419C2×C4C2×#41×C3712yes—
1420C2×C4C2×#41×C3712yes—
1421C2×C4C2×#41×C3712yes—
1422C2×C4H(5,𝔽2)×C3712yes—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—22no—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—22no—
1436C22—22no—
1437C22—22no—
1438C22—416no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22C37×#52914yes—
1451C22C37×#53914yes—
1452C22C22×#41×C3711yescharacteristic
1453C22C22×#41×C3711yescharacteristic
1454C22C22×#41×C3711yescharacteristic
1455C22C2×H(5,𝔽2)×C3711yescharacteristic
1456C22C2×H(5,𝔽2)×C3711yescharacteristic
1457C22C2×2−1+4×C3711yescharacteristic
1458C22C37×#58511yescharacteristic
1459C4—22no—
1460C4—22no—
1461C4—22no—
1462C4—22no—
1463C4—22no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C2—24no—
1487C2—24no—
1488C2—42no—
1489C2—81no—
1490C2C2×C37×#52911yescharacteristic
1491C2C2×C37×#53911yescharacteristic
1492C2C37×#345911yescharacteristic
1493C2C37×#349011yescharacteristic
1494C2C37×#349511yescharacteristic
1495C2C37×#351311yescharacteristic
1496C2C37×#352011yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutator, Frattini, cosocleC23C25×C37
prime radicalC2×#120×C37C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#2855C2semidirect
2. C37×#2853C2semidirect
3. C37×#2852C2semidirect
4. C37×#2851C2semidirect
5. C37×#2653C2semidirect
6. C37×#2652C2semidirect
7. C37×#2652C2semidirect
8. C37×#2649C2semidirect
9. C37×#2523C2semidirect
10. C37×#2517C2semidirect
11. C37×#2505C2semidirect
12. C37×#2493C2semidirect
13. C37×#2493C2semidirect
14. C37×#2488C2semidirect
15. C37×#2483C2semidirect
16. C37×#2481C2semidirect
17. C37×#2473C2semidirect
18. C37×#2466C2semidirect
19. C37×#2460C2semidirect
20. C37×#2450C2semidirect
21. C37×#2437C2semidirect
22. C37×#2419C2semidirect
25. C37×#2329C2semidirect
26. C37×#2322C2semidirect
27. C37×#2318C2semidirect
28. C37×#2313C2semidirect
30. C2×C37×#385C2semidirect
31. C2×C4×C22⋊C4×C37C2semidirect
33. C2×#126×C37C22semidirect
34. C2×#125×C37C22semidirect
51. C37×#401C22semidirect
52. C37×#400C22semidirect
53. C37×#400C22semidirect
54. C37×#400C22semidirect
55. C37×#400C22semidirect
56. C37×#400C22semidirect
57. C37×#400C22semidirect
58. C37×#400C22semidirect
59. C37×#400C22semidirect
61. C37×#398C22semidirect
62. C37×#398C22semidirect
63. C37×#398C22semidirect
72. C37×#397C22semidirect
73. C37×#397C22semidirect
76. C37×#396C22semidirect
82. C37×#393C22semidirect
83. C37×#391C22semidirect
84. C37×#391C22semidirect
85. C37×#391C22semidirect
86. C37×#389C22semidirect
87. C37×#389C22semidirect
88. C37×#389C22semidirect
89. C37×#389C22semidirect
90. C37×#389C22semidirect
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
108. C37×#387C22semidirect
109. C37×#387C22semidirect
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
151. C37×#385C22semidirect
152. C37×#385C22semidirect
153. C37×#383C22semidirect
154. C37×#383C22semidirect
155. C37×#382C22semidirect
156. C37×#382C22semidirect
163. C37×#381C22semidirect
170. C37×#380C22semidirect
674. #34999C37direct (N × H)
738. #2855C2×C37semidirect
739. #2853C2×C37semidirect
740. #2852C2×C37semidirect
741. #2851C2×C37semidirect
742. #2653C2×C37semidirect
743. #2652C2×C37semidirect
744. #2652C2×C37semidirect
745. #2649C2×C37semidirect
746. #2523C2×C37semidirect
747. #2517C2×C37semidirect
748. #2505C2×C37semidirect
749. #2493C2×C37semidirect
750. #2493C2×C37semidirect
751. #2488C2×C37semidirect
752. #2483C2×C37semidirect
753. #2481C2×C37semidirect
754. #2473C2×C37semidirect
755. #2466C2×C37semidirect
756. #2460C2×C37semidirect
757. #2450C2×C37semidirect
758. #2437C2×C37semidirect
759. #2419C2×C37semidirect
762. #2329C2×C37semidirect
763. #2322C2×C37semidirect
764. #2318C2×C37semidirect
765. #2313C2×C37semidirect
767. C2×#385C2×C37semidirect
768. C2×C4×C22⋊C4C2×C37semidirect
781. C2×#126C22×C37semidirect
782. C2×#125C22×C37semidirect
799. #401C22×C37semidirect
800. #400C22×C37semidirect
801. #400C22×C37semidirect
802. #400C22×C37semidirect
803. #400C22×C37semidirect
804. #400C22×C37semidirect
805. #400C22×C37semidirect
806. #400C22×C37semidirect
807. #400C22×C37semidirect
809. #398C22×C37semidirect
810. #398C22×C37semidirect
811. #398C22×C37semidirect
820. #397C22×C37semidirect
821. #397C22×C37semidirect
824. #396C22×C37semidirect
830. #393C22×C37semidirect
831. #391C22×C37semidirect
832. #391C22×C37semidirect
833. #391C22×C37semidirect
834. #389C22×C37semidirect
835. #389C22×C37semidirect
836. #389C22×C37semidirect
837. #389C22×C37semidirect
838. #389C22×C37semidirect
839. #388C22×C37semidirect
840. #388C22×C37semidirect
841. #388C22×C37semidirect
842. #388C22×C37semidirect
843. #388C22×C37semidirect
844. #388C22×C37semidirect
845. #388C22×C37semidirect
846. #387C22×C37semidirect
847. #387C22×C37semidirect
848. #387C22×C37semidirect
849. #387C22×C37semidirect
850. #387C22×C37semidirect
851. #387C22×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
868. #387C22×C37semidirect
899. #385C22×C37semidirect
900. #385C22×C37semidirect
901. #383C22×C37semidirect
902. #383C22×C37semidirect
903. #382C22×C37semidirect
904. #382C22×C37semidirect
911. #381C22×C37semidirect
918. #380C22×C37semidirect
935. C37#34999direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#28552
C37×#28532
C37×#28522
C37×#28512
C37×#26532
C37×#26522
C37×#26492
C37×#25232
C37×#25172
C37×#25052
C37×#24932
C37×#24882
C37×#24832
C37×#24812
C37×#24732
C37×#24662
C37×#24602
C37×#24502
C37×#24372
C37×#24192
C37×#24122
C37×#23292
C37×#23222
C37×#23182
C37×#23132
C4×#120×C372
C2×C37×#3852
C2×C4×C22⋊C4×C372
#3499937