Finite Group Databasebeta

← C37×#36792 #22658045

Subgroups — C37×#36792 #22658045

Order 9472.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2849C211yesmaximal, characteristic
2C37×#2848C211yesmaximal, characteristic, complemented
3C37×#2807C211yesmaximal, characteristic, complemented
4C37×#2796C211yesmaximal, characteristic, complemented
5C37×#2790C211yesmaximal, characteristic, complemented
6C37×#2787C211yesmaximal, characteristic, complemented
7C37×#2782C211yesmaximal, characteristic, complemented
8C37×#2781C211yesmaximal, characteristic, complemented
9C37×#2771C211yesmaximal, characteristic, complemented
10C37×#2765C211yesmaximal, characteristic, complemented
11C37×#2744C211yesmaximal, characteristic, complemented
12C37×#2732C211yesmaximal, characteristic, complemented
13C37×#2724C211yesmaximal, characteristic, complemented
14C37×#2720C211yesmaximal, characteristic, complemented
15C37×#2718C211yesmaximal, characteristic, complemented
16C37×#2694C211yesmaximal, characteristic, complemented
17C37×#2689C211yesmaximal, characteristic, complemented
18C37×#2680C211yesmaximal, characteristic, complemented
19C37×#2646C211yesmaximal, characteristic, complemented
20C37×#2643C211yesmaximal, characteristic, complemented
21C37×#2498C211yesmaximal, characteristic, complemented
22C37×#2482C211yesmaximal, characteristic, complemented
23C37×#2480C211yesmaximal, characteristic, complemented
24C37×#2473C211yesmaximal, characteristic, complemented
25C37×#2449C211yesmaximal, characteristic, complemented
26C37×#2438C211yesmaximal, characteristic, complemented
27C37×#2418C211yesmaximal, characteristic
28C37×#2411C211yesmaximal, characteristic
29C37×#2322C211yesmaximal, characteristic, complemented
30C37×#2317C211yesmaximal, characteristic, complemented
31C2×C37×#385C211yesmaximal, characteristic, complemented
32C24×C4×C37C2211yescharacteristic
33C2×#126×C37C2211yescharacteristic
34C2×#125×C37C2211yescharacteristic, complemented
35C2×#123×C37C2211yescharacteristic
36C2×#123×C37C2211yescharacteristic
37C2×#123×C37C2211yescharacteristic
38C2×#123×C37C2211yescharacteristic
39C2×C22⋊Q8×C37C2211yescharacteristic
40C2×C22⋊Q8×C37C2211yescharacteristic
41C2×C22⋊Q8×C37C2211yescharacteristic
42C2×C22⋊Q8×C37C2211yescharacteristic, complemented
43C2×#120×C37C2211yescharacteristic
44C2×C4×D4×C37C2211yescharacteristic
45C2×#117×C37C2211yescharacteristic
46C2×#117×C37C2211yescharacteristic
47C22×C4⋊C4×C37C2211yescharacteristic
48C22×C4⋊C4×C37C2211yescharacteristic
49C22×C22⋊C4×C37C2211yescharacteristic
50C22×C22⋊C4×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×#400C2211yescharacteristic, complemented
61C37×#400C2211yescharacteristic, complemented
62C37×#399C2211yescharacteristic
63C37×#399C2211yescharacteristic
64C37×#399C2211yescharacteristic
65C37×#399C2211yescharacteristic, complemented
66C37×#399C2211yescharacteristic, complemented
67C37×#398C2211yescharacteristic, complemented
68C37×#398C2211yescharacteristic, complemented
69C37×#398C2211yescharacteristic, complemented
70C37×#398C2211yescharacteristic, complemented
71C37×#398C2211yescharacteristic, complemented
72C37×#398C2211yescharacteristic, complemented
73C37×#398C2211yescharacteristic, complemented
74C37×#398C2211yescharacteristic, complemented
75C37×#398C2211yescharacteristic, complemented
76C37×#398C2211yescharacteristic, complemented
77C37×#398C2211yescharacteristic, complemented
78C37×#397C2211yescharacteristic
79C37×#397C2211yescharacteristic
80C37×#397C2211yescharacteristic
81C37×#397C2211yescharacteristic
82C37×#397C2211yescharacteristic
83C37×#397C2211yescharacteristic
84C37×#397C2211yescharacteristic, complemented
85C37×#397C2211yescharacteristic, complemented
86C37×#397C2211yescharacteristic, complemented
87C37×#397C2211yescharacteristic, complemented
88C37×#396C2211yescharacteristic
89C37×#396C2211yescharacteristic
90C37×#396C2211yescharacteristic
91C37×#396C2211yescharacteristic, complemented
92C37×#396C2211yescharacteristic, complemented
93C37×#395C2211yescharacteristic, complemented
94C37×#395C2211yescharacteristic, complemented
95C37×#394C2211yescharacteristic
96C37×#394C2211yescharacteristic
97C37×#394C2211yescharacteristic
98C37×#394C2211yescharacteristic
99C37×#391C2211yescharacteristic, complemented
100C37×#390C2211yescharacteristic
101C37×#390C2211yescharacteristic
102C37×#389C2211yescharacteristic, complemented
103C37×#389C2211yescharacteristic, complemented
104C37×#389C2211yescharacteristic, complemented
105C37×#389C2211yescharacteristic, complemented
106C37×#389C2211yescharacteristic, complemented
107C37×#389C2211yescharacteristic, complemented
108C37×#389C2211yescharacteristic, complemented
109C37×#389C2211yescharacteristic, complemented
110C37×#389C2211yescharacteristic, complemented
111C37×#388C2211yescharacteristic
112C37×#388C2211yescharacteristic
113C37×#388C2211yescharacteristic
114C37×#388C2211yescharacteristic
115C37×#388C2211yescharacteristic
116C37×#388C2211yescharacteristic
117C37×#388C2211yescharacteristic
118C37×#388C2211yescharacteristic
119C37×#388C2211yescharacteristic
120C37×#388C2211yescharacteristic
121C37×#388C2211yescharacteristic
122C37×#388C2211yescharacteristic, complemented
123C37×#388C2211yescharacteristic, complemented
124C37×#388C2211yescharacteristic, complemented
125C37×#388C2211yescharacteristic, complemented
126C37×#387C2211yescharacteristic, complemented
127C37×#387C2211yescharacteristic, complemented
128C37×#387C2211yescharacteristic, complemented
129C37×#387C2211yescharacteristic, complemented
130C37×#387C2211yescharacteristic, complemented
131C37×#387C2211yescharacteristic, complemented
132C37×#387C2211yescharacteristic, complemented
133C37×#387C2211yescharacteristic, complemented
134C37×#387C2211yescharacteristic, complemented
135C37×#386C2211yescharacteristic
136C37×#386C2211yescharacteristic
137C37×#386C2211yescharacteristic
138C37×#386C2211yescharacteristic
139C37×#386C2211yescharacteristic
140C37×#386C2211yescharacteristic
141C37×#386C2211yescharacteristic
142C37×#385C2211yescharacteristic
143C37×#385C2211yescharacteristic
144C37×#385C2211yescharacteristic
145C37×#385C2211yescharacteristic
146C37×#385C2211yescharacteristic
147C37×#385C2211yescharacteristic
148C37×#385C2211yescharacteristic
149C37×#385C2211yescharacteristic
150C37×#385C2211yescharacteristic
151C37×#385C2211yescharacteristic
152C37×#385C2211yescharacteristic
153C37×#385C2211yescharacteristic
154C37×#385C2211yescharacteristic
155C37×#385C2211yescharacteristic
156C37×#385C2211yescharacteristic
157C37×#385C2211yescharacteristic
158C37×#385C2211yescharacteristic
159C37×#385C2211yescharacteristic
160C37×#385C2211yescharacteristic
161C37×#385C2211yescharacteristic
162C37×#385C2211yescharacteristic
163C37×#385C2211yescharacteristic
164C37×#385C2211yescharacteristic
165C37×#385C2211yescharacteristic
166C37×#385C2211yescharacteristic, complemented
167C37×#385C2211yescharacteristic, complemented
168C37×#385C2211yescharacteristic, complemented
169C37×#384C2211yescharacteristic, complemented
170C37×#384C2211yescharacteristic, complemented
171C37×#382C2211yescharacteristic, complemented
172C37×#382C2211yescharacteristic, complemented
173C37×#381C2211yescharacteristic
174C37×#381C2211yescharacteristic
175C37×#381C2211yescharacteristic
176C37×#380C2211yescharacteristic
177C37×#380C2211yescharacteristic
178C37×#380C2211yescharacteristic
179C37×#380C2211yescharacteristic
180C37×#380C2211yescharacteristic
181C37×#379C2211yescharacteristic
182C37×#379C2211yescharacteristic
183C37×#379C2211yescharacteristic
184C4×C22⋊C4×C37C2211yescharacteristic
185C2×#95×C37C2211yescharacteristic
186C2×#95×C37C2211yescharacteristic
187C25×C37C2311yescharacteristic
188C22×Q8×C37C2311yescharacteristic
189C22×D4×C37C2311yescharacteristic
190C22×D4×C37C2311yescharacteristic
191C22×D4×C37C2311yescharacteristic
192C23×C4×C37—42no—
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
206#126×C37—42no—
207#125×C37—42no—
208#123×C37—24no—
209#123×C37—42no—
210#123×C37—42no—
211#123×C37—42no—
212C22⋊Q8×C37—42no—
213C22⋊Q8×C37—42no—
214C22⋊Q8×C37—42no—
215C22⋊Q8×C37—42no—
216#120×C37—42no—
217C4×D4×C37—42no—
218#117×C37—24no—
219#117×C37—42no—
220C2×C4⋊C4×C37—42no—
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×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×C22⋊C4×C37—24no—
267C2×C22⋊C4×C37—42no—
268C2×C22⋊C4×C37C2311yescharacteristic
269C2×C22⋊C4×C37C2311yescharacteristic
270C2×C22⋊C4×C37C2311yescharacteristic
271C2×C22⋊C4×C37C2311yescharacteristic
272C2×C22⋊C4×C37C2311yescharacteristic
273C2×C22⋊C4×C37C2311yescharacteristic
274C2×C22⋊C4×C37C2311yescharacteristic
275C2×C22⋊C4×C37C2311yescharacteristic
276C2×C22⋊C4×C37C2311yescharacteristic
277C2×C22⋊C4×C37C2311yescharacteristic
278C2×C22⋊C4×C37C2311yescharacteristic
279C2×C22⋊C4×C37C2311yescharacteristic
280C2×C22⋊C4×C37C2311yescharacteristic
281C2×C22⋊C4×C37C2311yescharacteristic
282C2×C22⋊C4×C37C2311yescharacteristic
283C2×C22⋊C4×C37C2311yescharacteristic
284C2×C22⋊C4×C37C2311yescharacteristic
285C2×C22⋊C4×C37C2311yescharacteristic
286C2×C22⋊C4×C37C2311yescharacteristic
287C2×C22⋊C4×C37C2311yescharacteristic
288C2×C22⋊C4×C37C2311yescharacteristic
289C2×C22⋊C4×C37C2311yescharacteristic
290C2×C22⋊C4×C37C2311yescharacteristic
291C2×C22⋊C4×C37C2311yescharacteristic
292C2×C22⋊C4×C37C2311yescharacteristic
293C2×C22⋊C4×C37C2311yescharacteristic
294C2×C22⋊C4×C37C2311yescharacteristic
295C2×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×C42×C37C2311yescharacteristic
309C2×C42×C37C2311yescharacteristic
310C2×C42×C37C2311yescharacteristic
311C2×C42×C37C2311yescharacteristic
312C2×C42×C37C2311yescharacteristic
313C2×C42×C37C2311yescharacteristic
314C2×C42×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—22no—
368C24×C37—41no—
369C24×C37—41no—
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—41no—
383C2×D4×C37—41no—
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—41no—
399C22×C4×C37—41no—
400C22×C4×C37—41no—
401C22×C4×C37—41no—
402C22×C4×C37—41no—
403C22×C4×C37—41no—
404C22×C4×C37—41no—
405C22×C4×C37—41no—
406C22×C4×C37—41no—
407C22×C4×C37—41no—
408C22×C4×C37—41no—
409C22×C4×C37—41no—
410C22×C4×C37—41no—
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—416no—
419C22×C4×C37#4114yes—
420C22×C4×C37C2411yescharacteristic
421C22×C4×C37C2411yescharacteristic
422C22×C4×C37C2411yescharacteristic
423C22×C4×C37C2411yescharacteristic
424C22×C4×C37C2411yescharacteristic
425C22×C4×C37C2411yescharacteristic
426C22×C4×C37C2411yescharacteristic
427C22×C4×C37C2411yescharacteristic
428C22×C4×C37C2411yescharacteristic
429C22×C4×C37C2411yescharacteristic
430C22×C4×C37C2411yescharacteristic
431C22×C4×C37C2411yescharacteristic
432C22×C4×C37C2411yescharacteristic
433C22×C4×C37C2411yescharacteristic
434C22×C4×C37C2411yescharacteristic
435C22×C4×C37C2411yescharacteristic
436C22×C4×C37C2411yescharacteristic
437C22×C4×C37C2411yescharacteristic
438C22×C4×C37C2411yescharacteristic
439C22×C4×C37C2411yescharacteristic
440C22×C4×C37C2411yescharacteristic
441C22×C4×C37C2411yescharacteristic
442C22×C4×C37C2411yescharacteristic
443C22×C4×C37C2411yescharacteristic
444C22×C4×C37C2411yescharacteristic
445C22×C4×C37C2411yescharacteristic
446C22×C4×C37C2411yescharacteristic
447C4⋊C4×C37—22no—
448C4⋊C4×C37—22no—
449C4⋊C4×C37—22no—
450C4⋊C4×C37—22no—
451C4⋊C4×C37—22no—
452C4⋊C4×C37—22no—
453C4⋊C4×C37—22no—
454C4⋊C4×C37—22no—
455C4⋊C4×C37—41no—
456C4⋊C4×C37—41no—
457C4⋊C4×C37—41no—
458C4⋊C4×C37—41no—
459C4⋊C4×C37—41no—
460C4⋊C4×C37—41no—
461C4⋊C4×C37—41no—
462C4⋊C4×C37—41no—
463C4⋊C4×C37—41no—
464C4⋊C4×C37—41no—
465C4⋊C4×C37—41no—
466C4⋊C4×C37—41no—
467C4⋊C4×C37—41no—
468C4⋊C4×C37—41no—
469C4⋊C4×C37—41no—
470C4⋊C4×C37—41no—
471C4⋊C4×C37—41no—
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—41no—
514C22⋊C4×C37—41no—
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—41no—
527C22⋊C4×C37—41no—
528C22⋊C4×C37—41no—
529C22⋊C4×C37—41no—
530C22⋊C4×C37—41no—
531C42×C37—22no—
532C42×C37—22no—
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—28no—
543C23×C37—21no—
544C23×C37—21no—
545C23×C37—21no—
546C23×C37—21no—
547C23×C37—21no—
548C23×C37—21no—
549C23×C37—21no—
550C23×C37—21no—
551C23×C37—21no—
552C23×C37—21no—
553C23×C37—21no—
554C23×C37—21no—
555C23×C37—21no—
556C23×C37—21no—
557C23×C37—21no—
558C23×C37—21no—
559C23×C37—21no—
560C23×C37—21no—
561C23×C37—21no—
562C23×C37—44no—
563C23×C37—44no—
564C23×C37—44no—
565C23×C37—44no—
566C23×C37—44no—
567C23×C37—44no—
568C23×C37C2×#4112yes—
569C23×C37H(5,𝔽2)12yes—
570C23×C37H(5,𝔽2)12yes—
571C23×C372−1+412yes—
572C23×C372−1+412yes—
573C23×C37C2511yescharacteristic
574Q8×C37—82no—
575D4×C37—44no—
576D4×C37—82no—
577D4×C37—82no—
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—21no—
656C2×C4×C37—21no—
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—82no—
665C2×C4×C37—82no—
666C2×C4×C37—82no—
667C2×C4×C37C2×#4112yes—
668C2×C4×C37C2×#4112yes—
669C2×C4×C37H(5,𝔽2)12yes—
670#36792C3711yesmaximal, characteristic, direct product factor, Sylow
671C22×C37—22no—
672C22×C37—22no—
673C22×C37—22no—
674C22×C37—22no—
675C22×C37—22no—
676C22×C37—22no—
677C22×C37—22no—
678C22×C37—22no—
679C22×C37—22no—
680C22×C37—22no—
681C22×C37—22no—
682C22×C37—22no—
683C22×C37—416no—
684C22×C37—41no—
685C22×C37—41no—
686C22×C37—41no—
687C22×C37—41no—
688C22×C37—41no—
689C22×C37—41no—
690C22×C37—41no—
691C22×C37—41no—
692C22×C37—41no—
693C22×C37—41no—
694C22×C37—41no—
695C22×C37—41no—
696C22×C37—41no—
697C22×C37—41no—
698C22×C37—41no—
699C22×C37#53914yes—
700C22×C37C22×#4111yescharacteristic
701C22×C37C2×H(5,𝔽2)11yescharacteristic
702C22×C37C2×H(5,𝔽2)11yescharacteristic
703C22×C37C2×H(5,𝔽2)11yescharacteristic
704C22×C37C2×2−1+411yescharacteristic
705C22×C37C2×2−1+411yescharacteristic
706C22×C37#58511yescharacteristic
707C4×C37—22no—
708C4×C37—22no—
709C4×C37—22no—
710C4×C37—41no—
711C4×C37—41no—
712C4×C37—41no—
713C4×C37—41no—
714C4×C37—41no—
715C4×C37—41no—
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—
734#2849C2×C3711yescharacteristic
735#2848C2×C3711yescharacteristic, complemented
736#2807C2×C3711yescharacteristic, complemented
737#2796C2×C3711yescharacteristic, complemented
738#2790C2×C3711yescharacteristic, complemented
739#2787C2×C3711yescharacteristic, complemented
740#2782C2×C3711yescharacteristic, complemented
741#2781C2×C3711yescharacteristic, complemented
742#2771C2×C3711yescharacteristic, complemented
743#2765C2×C3711yescharacteristic, complemented
744#2744C2×C3711yescharacteristic, complemented
745#2732C2×C3711yescharacteristic, complemented
746#2724C2×C3711yescharacteristic, complemented
747#2720C2×C3711yescharacteristic, complemented
748#2718C2×C3711yescharacteristic, complemented
749#2694C2×C3711yescharacteristic, complemented
750#2689C2×C3711yescharacteristic, complemented
751#2680C2×C3711yescharacteristic, complemented
752#2646C2×C3711yescharacteristic, complemented
753#2643C2×C3711yescharacteristic, complemented
754#2498C2×C3711yescharacteristic, complemented
755#2482C2×C3711yescharacteristic, complemented
756#2480C2×C3711yescharacteristic, complemented
757#2473C2×C3711yescharacteristic, complemented
758#2449C2×C3711yescharacteristic, complemented
759#2438C2×C3711yescharacteristic, complemented
760#2418C2×C3711yescharacteristic
761#2411C2×C3711yescharacteristic
762#2322C2×C3711yescharacteristic, complemented
763#2317C2×C3711yescharacteristic, complemented
764C2×#385C2×C3711yescharacteristic, complemented
765C2×C37—24no—
766C2×C37—42no—
767C2×C37—42no—
768C2×C37—81no—
769C2×C37C2×#53911yescharacteristic
770C2×C37#349211yescharacteristic
771C2×C37#350611yescharacteristic
772C2×C37#353211yescharacteristic
773C2×C37#353511yescharacteristic
774C2×C37#353511yescharacteristic
775C2×C37#353811yescharacteristic
776C24×C4C22×C3711yescharacteristic
777C2×#126C22×C3711yescharacteristic
778C2×#125C22×C3711yescharacteristic, complemented
779C2×#123C22×C3711yescharacteristic
780C2×#123C22×C3711yescharacteristic
781C2×#123C22×C3711yescharacteristic
782C2×#123C22×C3711yescharacteristic
783C2×C22⋊Q8C22×C3711yescharacteristic
784C2×C22⋊Q8C22×C3711yescharacteristic
785C2×C22⋊Q8C22×C3711yescharacteristic
786C2×C22⋊Q8C22×C3711yescharacteristic, complemented
787C2×#120C22×C3711yescharacteristic
788C2×C4×D4C22×C3711yescharacteristic
789C2×#117C22×C3711yescharacteristic
790C2×#117C22×C3711yescharacteristic
791C22×C4⋊C4C22×C3711yescharacteristic
792C22×C4⋊C4C22×C3711yescharacteristic
793C22×C22⋊C4C22×C3711yescharacteristic
794C22×C22⋊C4C22×C3711yescharacteristic
795#401C22×C3711yescharacteristic, complemented
796#400C22×C3711yescharacteristic, complemented
797#400C22×C3711yescharacteristic, complemented
798#400C22×C3711yescharacteristic, complemented
799#400C22×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#399C22×C3711yescharacteristic
807#399C22×C3711yescharacteristic
808#399C22×C3711yescharacteristic
809#399C22×C3711yescharacteristic, complemented
810#399C22×C3711yescharacteristic, complemented
811#398C22×C3711yescharacteristic, complemented
812#398C22×C3711yescharacteristic, complemented
813#398C22×C3711yescharacteristic, complemented
814#398C22×C3711yescharacteristic, complemented
815#398C22×C3711yescharacteristic, complemented
816#398C22×C3711yescharacteristic, complemented
817#398C22×C3711yescharacteristic, complemented
818#398C22×C3711yescharacteristic, complemented
819#398C22×C3711yescharacteristic, complemented
820#398C22×C3711yescharacteristic, complemented
821#398C22×C3711yescharacteristic, complemented
822#397C22×C3711yescharacteristic
823#397C22×C3711yescharacteristic
824#397C22×C3711yescharacteristic
825#397C22×C3711yescharacteristic
826#397C22×C3711yescharacteristic
827#397C22×C3711yescharacteristic
828#397C22×C3711yescharacteristic, complemented
829#397C22×C3711yescharacteristic, complemented
830#397C22×C3711yescharacteristic, complemented
831#397C22×C3711yescharacteristic, complemented
832#396C22×C3711yescharacteristic
833#396C22×C3711yescharacteristic
834#396C22×C3711yescharacteristic
835#396C22×C3711yescharacteristic, complemented
836#396C22×C3711yescharacteristic, complemented
837#395C22×C3711yescharacteristic, complemented
838#395C22×C3711yescharacteristic, complemented
839#394C22×C3711yescharacteristic
840#394C22×C3711yescharacteristic
841#394C22×C3711yescharacteristic
842#394C22×C3711yescharacteristic
843#391C22×C3711yescharacteristic, complemented
844#390C22×C3711yescharacteristic
845#390C22×C3711yescharacteristic
846#389C22×C3711yescharacteristic, complemented
847#389C22×C3711yescharacteristic, complemented
848#389C22×C3711yescharacteristic, complemented
849#389C22×C3711yescharacteristic, complemented
850#389C22×C3711yescharacteristic, complemented
851#389C22×C3711yescharacteristic, complemented
852#389C22×C3711yescharacteristic, complemented
853#389C22×C3711yescharacteristic, complemented
854#389C22×C3711yescharacteristic, complemented
855#388C22×C3711yescharacteristic
856#388C22×C3711yescharacteristic
857#388C22×C3711yescharacteristic
858#388C22×C3711yescharacteristic
859#388C22×C3711yescharacteristic
860#388C22×C3711yescharacteristic
861#388C22×C3711yescharacteristic
862#388C22×C3711yescharacteristic
863#388C22×C3711yescharacteristic
864#388C22×C3711yescharacteristic
865#388C22×C3711yescharacteristic
866#388C22×C3711yescharacteristic, complemented
867#388C22×C3711yescharacteristic, complemented
868#388C22×C3711yescharacteristic, complemented
869#388C22×C3711yescharacteristic, complemented
870#387C22×C3711yescharacteristic, complemented
871#387C22×C3711yescharacteristic, complemented
872#387C22×C3711yescharacteristic, complemented
873#387C22×C3711yescharacteristic, complemented
874#387C22×C3711yescharacteristic, complemented
875#387C22×C3711yescharacteristic, complemented
876#387C22×C3711yescharacteristic, complemented
877#387C22×C3711yescharacteristic, complemented
878#387C22×C3711yescharacteristic, complemented
879#386C22×C3711yescharacteristic
880#386C22×C3711yescharacteristic
881#386C22×C3711yescharacteristic
882#386C22×C3711yescharacteristic
883#386C22×C3711yescharacteristic
884#386C22×C3711yescharacteristic
885#386C22×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
900#385C22×C3711yescharacteristic
901#385C22×C3711yescharacteristic
902#385C22×C3711yescharacteristic
903#385C22×C3711yescharacteristic
904#385C22×C3711yescharacteristic
905#385C22×C3711yescharacteristic
906#385C22×C3711yescharacteristic
907#385C22×C3711yescharacteristic
908#385C22×C3711yescharacteristic
909#385C22×C3711yescharacteristic
910#385C22×C3711yescharacteristic, complemented
911#385C22×C3711yescharacteristic, complemented
912#385C22×C3711yescharacteristic, complemented
913#384C22×C3711yescharacteristic, complemented
914#384C22×C3711yescharacteristic, complemented
915#382C22×C3711yescharacteristic, complemented
916#382C22×C3711yescharacteristic, complemented
917#381C22×C3711yescharacteristic
918#381C22×C3711yescharacteristic
919#381C22×C3711yescharacteristic
920#380C22×C3711yescharacteristic
921#380C22×C3711yescharacteristic
922#380C22×C3711yescharacteristic
923#380C22×C3711yescharacteristic
924#380C22×C3711yescharacteristic
925#379C22×C3711yescharacteristic
926#379C22×C3711yescharacteristic
927#379C22×C3711yescharacteristic
928C4×C22⋊C4C22×C3711yescharacteristic
929C2×#95C22×C3711yescharacteristic
930C2×#95C22×C3711yescharacteristic
931C37#3679211yescharacteristic, direct product factor, Sylow
932C25C23×C3711yescharacteristic
933C22×Q8C23×C3711yescharacteristic
934C22×D4C23×C3711yescharacteristic
935C22×D4C23×C3711yescharacteristic
936C22×D4C23×C3711yescharacteristic
937C23×C4—42no—
938C23×C4—42no—
939C23×C4—42no—
940C23×C4C23×C3711yescharacteristic
941C23×C4C23×C3711yescharacteristic
942C23×C4C23×C3711yescharacteristic
943C23×C4C23×C3711yescharacteristic
944C23×C4C23×C3711yescharacteristic
945C23×C4C23×C3711yescharacteristic
946C23×C4C23×C3711yescharacteristic
947C23×C4C23×C3711yescharacteristic
948C23×C4C23×C3711yescharacteristic
949C23×C4C23×C3711yescharacteristic
950C23×C4C23×C3711yescharacteristic
951#126—42no—
952#125—42no—
953#123—24no—
954#123—42no—
955#123—42no—
956#123—42no—
957C22⋊Q8—42no—
958C22⋊Q8—42no—
959C22⋊Q8—42no—
960C22⋊Q8—42no—
961#120—42no—
962C4×D4—42no—
963#117—24no—
964#117—42no—
965C2×C4⋊C4—42no—
966C2×C4⋊C4—42no—
967C2×C4⋊C4C23×C3711yescharacteristic
968C2×C4⋊C4C23×C3711yescharacteristic
969C2×C4⋊C4C23×C3711yescharacteristic
970C2×C4⋊C4C23×C3711yescharacteristic
971C2×C4⋊C4C23×C3711yescharacteristic
972C2×C4⋊C4C23×C3711yescharacteristic
973C2×C4⋊C4C23×C3711yescharacteristic
974C2×C4⋊C4C23×C3711yescharacteristic
975C2×C4⋊C4C23×C3711yescharacteristic
976C2×C4⋊C4C23×C3711yescharacteristic
977C2×C4⋊C4C23×C3711yescharacteristic
978C2×C4⋊C4C23×C3711yescharacteristic
979C2×C4⋊C4C23×C3711yescharacteristic
980C2×C4⋊C4C23×C3711yescharacteristic
981C2×C4⋊C4C23×C3711yescharacteristic
982C2×C4⋊C4C23×C3711yescharacteristic
983C2×C4⋊C4C23×C3711yescharacteristic
984C2×C4⋊C4C23×C3711yescharacteristic
985C2×C4⋊C4C23×C3711yescharacteristic
986C2×C4⋊C4C23×C3711yescharacteristic
987C2×C4⋊C4C23×C3711yescharacteristic
988C2×C4⋊C4C23×C3711yescharacteristic
989C2×C4⋊C4C23×C3711yescharacteristic
990C2×C4⋊C4C23×C3711yescharacteristic
991C2×C4⋊C4C23×C3711yescharacteristic
992C2×C4⋊C4C23×C3711yescharacteristic
993C2×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×C4⋊C4C23×C3711yescharacteristic
1004C2×C4⋊C4C23×C3711yescharacteristic
1005C2×C4⋊C4C23×C3711yescharacteristic
1006C2×C4⋊C4C23×C3711yescharacteristic
1007C2×C4⋊C4C23×C3711yescharacteristic
1008C2×C4⋊C4C23×C3711yescharacteristic
1009C2×C4⋊C4C23×C3711yescharacteristic
1010C2×C4⋊C4C23×C3711yescharacteristic
1011C2×C22⋊C4—24no—
1012C2×C22⋊C4—42no—
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×C22⋊C4C23×C3711yescharacteristic
1044C2×C22⋊C4C23×C3711yescharacteristic
1045C2×C22⋊C4C23×C3711yescharacteristic
1046C2×C22⋊C4C23×C3711yescharacteristic
1047C2×C22⋊C4C23×C3711yescharacteristic
1048C2×C22⋊C4C23×C3711yescharacteristic
1049C2×C22⋊C4C23×C3711yescharacteristic
1050C2×C22⋊C4C23×C3711yescharacteristic
1051C2×C22⋊C4C23×C3711yescharacteristic
1052C2×C22⋊C4C23×C3711yescharacteristic
1053C2×C42C23×C3711yescharacteristic
1054C2×C42C23×C3711yescharacteristic
1055C2×C42C23×C3711yescharacteristic
1056C2×C42C23×C3711yescharacteristic
1057C2×C42C23×C3711yescharacteristic
1058C2×C42C23×C3711yescharacteristic
1059C2×C42C23×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
1108C24—22no—
1109C24—22no—
1110C24—22no—
1111C24—22no—
1112C24—22no—
1113C24—41no—
1114C24—41no—
1115C24C24×C3711yescharacteristic
1116C24C24×C3711yescharacteristic
1117C24C24×C3711yescharacteristic
1118C24C24×C3711yescharacteristic
1119C2×Q8—22no—
1120C2×Q8—41no—
1121C2×Q8—41no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—22no—
1126C2×D4—22no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
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—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—416no—
1164C22×C4#41×C3714yes—
1165C22×C4C24×C3711yescharacteristic
1166C22×C4C24×C3711yescharacteristic
1167C22×C4C24×C3711yescharacteristic
1168C22×C4C24×C3711yescharacteristic
1169C22×C4C24×C3711yescharacteristic
1170C22×C4C24×C3711yescharacteristic
1171C22×C4C24×C3711yescharacteristic
1172C22×C4C24×C3711yescharacteristic
1173C22×C4C24×C3711yescharacteristic
1174C22×C4C24×C3711yescharacteristic
1175C22×C4C24×C3711yescharacteristic
1176C22×C4C24×C3711yescharacteristic
1177C22×C4C24×C3711yescharacteristic
1178C22×C4C24×C3711yescharacteristic
1179C22×C4C24×C3711yescharacteristic
1180C22×C4C24×C3711yescharacteristic
1181C22×C4C24×C3711yescharacteristic
1182C22×C4C24×C3711yescharacteristic
1183C22×C4C24×C3711yescharacteristic
1184C22×C4C24×C3711yescharacteristic
1185C22×C4C24×C3711yescharacteristic
1186C22×C4C24×C3711yescharacteristic
1187C22×C4C24×C3711yescharacteristic
1188C22×C4C24×C3711yescharacteristic
1189C22×C4C24×C3711yescharacteristic
1190C22×C4C24×C3711yescharacteristic
1191C22×C4C24×C3711yescharacteristic
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—22no—
1199C4⋊C4—22no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
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—
1236C22⋊C4—22no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
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—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
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—41no—
1276C42—22no—
1277C42—22no—
1278C42—41no—
1279C42—41no—
1280C42—41no—
1281C42—41no—
1282C42—41no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—28no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—44no—
1308C23—44no—
1309C23—44no—
1310C23—44no—
1311C23—44no—
1312C23—44no—
1313C23C2×#41×C3712yes—
1314C23H(5,𝔽2)×C3712yes—
1315C23H(5,𝔽2)×C3712yes—
1316C232−1+4×C3712yes—
1317C232−1+4×C3712yes—
1318C23C25×C3711yescharacteristic
1319Q8—82no—
1320D4—44no—
1321D4—82no—
1322D4—82no—
1323C2×C4—28no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—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—44no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—82no—
1410C2×C4—82no—
1411C2×C4—82no—
1412C2×C4C2×#41×C3712yes—
1413C2×C4C2×#41×C3712yes—
1414C2×C4H(5,𝔽2)×C3712yes—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—416no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22C37×#53914yes—
1444C22C22×#41×C3711yescharacteristic
1445C22C2×H(5,𝔽2)×C3711yescharacteristic
1446C22C2×H(5,𝔽2)×C3711yescharacteristic
1447C22C2×H(5,𝔽2)×C3711yescharacteristic
1448C22C2×2−1+4×C3711yescharacteristic
1449C22C2×2−1+4×C3711yescharacteristic
1450C22C37×#58511yescharacteristic
1451C4—22no—
1452C4—22no—
1453C4—22no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C2—24no—
1479C2—42no—
1480C2—42no—
1481C2—81no—
1482C2C2×C37×#53911yescharacteristic
1483C2C37×#349211yescharacteristic
1484C2C37×#350611yescharacteristic
1485C2C37×#353211yescharacteristic
1486C2C37×#353511yescharacteristic
1487C2C37×#353511yescharacteristic
1488C2C37×#353811yescharacteristic
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
2. C37×#2848C2semidirect
3. C37×#2807C2semidirect
4. C37×#2796C2semidirect
5. C37×#2790C2semidirect
6. C37×#2787C2semidirect
7. C37×#2782C2semidirect
8. C37×#2781C2semidirect
9. C37×#2771C2semidirect
10. C37×#2765C2semidirect
11. C37×#2744C2semidirect
12. C37×#2732C2semidirect
13. C37×#2724C2semidirect
14. C37×#2720C2semidirect
15. C37×#2718C2semidirect
16. C37×#2694C2semidirect
17. C37×#2689C2semidirect
18. C37×#2680C2semidirect
19. C37×#2646C2semidirect
20. C37×#2643C2semidirect
21. C37×#2498C2semidirect
22. C37×#2482C2semidirect
23. C37×#2480C2semidirect
24. C37×#2473C2semidirect
25. C37×#2449C2semidirect
26. C37×#2438C2semidirect
29. C37×#2322C2semidirect
30. C37×#2317C2semidirect
31. C2×C37×#385C2semidirect
34. C2×#125×C37C22semidirect
42. C2×C22⋊Q8×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
60. C37×#400C22semidirect
61. C37×#400C22semidirect
65. C37×#399C22semidirect
66. C37×#399C22semidirect
67. C37×#398C22semidirect
68. C37×#398C22semidirect
69. C37×#398C22semidirect
70. C37×#398C22semidirect
71. C37×#398C22semidirect
72. C37×#398C22semidirect
73. C37×#398C22semidirect
74. C37×#398C22semidirect
75. C37×#398C22semidirect
76. C37×#398C22semidirect
77. C37×#398C22semidirect
84. C37×#397C22semidirect
85. C37×#397C22semidirect
86. C37×#397C22semidirect
87. C37×#397C22semidirect
91. C37×#396C22semidirect
92. C37×#396C22semidirect
93. C37×#395C22semidirect
94. C37×#395C22semidirect
99. C37×#391C22semidirect
102. C37×#389C22semidirect
103. C37×#389C22semidirect
104. C37×#389C22semidirect
105. C37×#389C22semidirect
106. C37×#389C22semidirect
107. C37×#389C22semidirect
108. C37×#389C22semidirect
109. C37×#389C22semidirect
110. C37×#389C22semidirect
122. C37×#388C22semidirect
123. C37×#388C22semidirect
124. C37×#388C22semidirect
125. C37×#388C22semidirect
126. C37×#387C22semidirect
127. C37×#387C22semidirect
128. C37×#387C22semidirect
129. C37×#387C22semidirect
130. C37×#387C22semidirect
131. C37×#387C22semidirect
132. C37×#387C22semidirect
133. C37×#387C22semidirect
134. C37×#387C22semidirect
166. C37×#385C22semidirect
167. C37×#385C22semidirect
168. C37×#385C22semidirect
169. C37×#384C22semidirect
170. C37×#384C22semidirect
171. C37×#382C22semidirect
172. C37×#382C22semidirect
670. #36792C37direct (N × H)
735. #2848C2×C37semidirect
736. #2807C2×C37semidirect
737. #2796C2×C37semidirect
738. #2790C2×C37semidirect
739. #2787C2×C37semidirect
740. #2782C2×C37semidirect
741. #2781C2×C37semidirect
742. #2771C2×C37semidirect
743. #2765C2×C37semidirect
744. #2744C2×C37semidirect
745. #2732C2×C37semidirect
746. #2724C2×C37semidirect
747. #2720C2×C37semidirect
748. #2718C2×C37semidirect
749. #2694C2×C37semidirect
750. #2689C2×C37semidirect
751. #2680C2×C37semidirect
752. #2646C2×C37semidirect
753. #2643C2×C37semidirect
754. #2498C2×C37semidirect
755. #2482C2×C37semidirect
756. #2480C2×C37semidirect
757. #2473C2×C37semidirect
758. #2449C2×C37semidirect
759. #2438C2×C37semidirect
762. #2322C2×C37semidirect
763. #2317C2×C37semidirect
764. C2×#385C2×C37semidirect
778. C2×#125C22×C37semidirect
786. C2×C22⋊Q8C22×C37semidirect
795. #401C22×C37semidirect
796. #400C22×C37semidirect
797. #400C22×C37semidirect
798. #400C22×C37semidirect
799. #400C22×C37semidirect
800. #400C22×C37semidirect
801. #400C22×C37semidirect
802. #400C22×C37semidirect
803. #400C22×C37semidirect
804. #400C22×C37semidirect
805. #400C22×C37semidirect
809. #399C22×C37semidirect
810. #399C22×C37semidirect
811. #398C22×C37semidirect
812. #398C22×C37semidirect
813. #398C22×C37semidirect
814. #398C22×C37semidirect
815. #398C22×C37semidirect
816. #398C22×C37semidirect
817. #398C22×C37semidirect
818. #398C22×C37semidirect
819. #398C22×C37semidirect
820. #398C22×C37semidirect
821. #398C22×C37semidirect
828. #397C22×C37semidirect
829. #397C22×C37semidirect
830. #397C22×C37semidirect
831. #397C22×C37semidirect
835. #396C22×C37semidirect
836. #396C22×C37semidirect
837. #395C22×C37semidirect
838. #395C22×C37semidirect
843. #391C22×C37semidirect
846. #389C22×C37semidirect
847. #389C22×C37semidirect
848. #389C22×C37semidirect
849. #389C22×C37semidirect
850. #389C22×C37semidirect
851. #389C22×C37semidirect
852. #389C22×C37semidirect
853. #389C22×C37semidirect
854. #389C22×C37semidirect
866. #388C22×C37semidirect
867. #388C22×C37semidirect
868. #388C22×C37semidirect
869. #388C22×C37semidirect
870. #387C22×C37semidirect
871. #387C22×C37semidirect
872. #387C22×C37semidirect
873. #387C22×C37semidirect
874. #387C22×C37semidirect
875. #387C22×C37semidirect
876. #387C22×C37semidirect
877. #387C22×C37semidirect
878. #387C22×C37semidirect
910. #385C22×C37semidirect
911. #385C22×C37semidirect
912. #385C22×C37semidirect
913. #384C22×C37semidirect
914. #384C22×C37semidirect
915. #382C22×C37semidirect
916. #382C22×C37semidirect
931. C37#36792direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#28492
C37×#28482
C37×#28072
C37×#27962
C37×#27902
C37×#27872
C37×#27822
C37×#27812
C37×#27712
C37×#27652
C37×#27442
C37×#27322
C37×#27242
C37×#27202
C37×#27182
C37×#26942
C37×#26892
C37×#26802
C37×#26462
C37×#26432
C37×#24982
C37×#24822
C37×#24802
C37×#24732
C37×#24492
C37×#24382
C37×#24182
C37×#24112
C37×#23222
C37×#23172
C2×C37×#3852
#3679237