Finite Group Databasebeta

← C37×#36855 #22658108

Subgroups — C37×#36855 #22658108

Order 9472.

1932 conjugacy classes of subgroups.

The subgroup lattice has 1538 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2849C211yesmaximal, characteristic, complemented
2C37×#2848C211yesmaximal, characteristic, complemented
3C37×#2807C211yesmaximal, characteristic, complemented
4C37×#2782C211yesmaximal, characteristic, complemented
5C37×#2780C211yesmaximal, characteristic, complemented
6C37×#2770C211yesmaximal, characteristic, complemented
7C37×#2749C211yesmaximal, characteristic, complemented
8C37×#2743C211yesmaximal, characteristic, complemented
9C37×#2735C211yesmaximal, characteristic, complemented
10C37×#2732C211yesmaximal, characteristic, complemented
11C37×#2723C211yesmaximal, characteristic, complemented
12C37×#2708C211yesmaximal, characteristic, complemented
13C37×#2697C211yesmaximal, characteristic, complemented
14C37×#2695C211yesmaximal, characteristic, complemented
15C37×#2689C211yesmaximal, characteristic, complemented
16C37×#2685C211yesmaximal, characteristic, complemented
17C37×#2681C211yesmaximal, characteristic, complemented
18C37×#2668C211yesmaximal, characteristic
19C37×#2652C211yesmaximal, characteristic, complemented
20C37×#2649C211yesmaximal, characteristic, complemented
21C37×#2522C211yesmaximal, characteristic, complemented
22C37×#2515C211yesmaximal, characteristic, complemented
23C37×#2477C211yesmaximal, characteristic, complemented
24C37×#2470C211yesmaximal, characteristic, complemented
25C37×#2467C211yesmaximal, characteristic, complemented
26C37×#2466C211yesmaximal, characteristic, complemented
27C37×#2449C211yesmaximal, characteristic, complemented
28C37×#2443C211yesmaximal, characteristic, complemented
29C37×#2324C211yesmaximal, characteristic, complemented
30C37×#2322C211yesmaximal, characteristic, complemented
31C4×#120×C37C211yesmaximal, characteristic, complemented
32C24×C4×C37C2211yescharacteristic
33C2×#126×C37C2211yescharacteristic
34C2×#126×C37C2211yescharacteristic, complemented
35C2×#123×C37C2211yescharacteristic
36C2×#123×C37C2211yescharacteristic
37C2×#123×C37C2211yescharacteristic
38C2×C22⋊Q8×C37C2211yescharacteristic
39C2×C22⋊Q8×C37C2211yescharacteristic
40C2×C22⋊Q8×C37C2211yescharacteristic
41C2×C22⋊Q8×C37C2211yescharacteristic, complemented
42C2×#121×C37C2211yescharacteristic
43C2×#121×C37C2211yescharacteristic
44C2×#120×C37C2211yescharacteristic
45C2×#120×C37C2211yescharacteristic
46C2×C4×D4×C37C2211yescharacteristic
47C2×C4×D4×C37C2211yescharacteristic
48C2×C4×D4×C37C2211yescharacteristic
49C2×#117×C37C2211yescharacteristic, complemented
50C22×C4⋊C4×C37C2211yescharacteristic, complemented
51C37×#400C2211yescharacteristic, complemented
52C37×#400C2211yescharacteristic, complemented
53C37×#400C2211yescharacteristic, complemented
54C37×#400C2211yescharacteristic, complemented
55C37×#400C2211yescharacteristic, complemented
56C37×#400C2211yescharacteristic, complemented
57C37×#400C2211yescharacteristic, complemented
58C37×#400C2211yescharacteristic, complemented
59C37×#399C2211yescharacteristic
60C37×#399C2211yescharacteristic
61C37×#399C2211yescharacteristic
62C37×#399C2211yescharacteristic, complemented
63C37×#399C2211yescharacteristic, complemented
64C37×#398C2211yescharacteristic, complemented
65C37×#398C2211yescharacteristic, complemented
66C37×#398C2211yescharacteristic, complemented
67C37×#398C2211yescharacteristic, complemented
68C37×#398C2211yescharacteristic, complemented
69C37×#398C2211yescharacteristic, complemented
70C37×#397C2211yescharacteristic
71C37×#397C2211yescharacteristic
72C37×#397C2211yescharacteristic
73C37×#397C2211yescharacteristic
74C37×#397C2211yescharacteristic
75C37×#397C2211yescharacteristic
76C37×#397C2211yescharacteristic
77C37×#397C2211yescharacteristic, complemented
78C37×#397C2211yescharacteristic, complemented
79C37×#397C2211yescharacteristic, complemented
80C37×#396C2211yescharacteristic
81C37×#396C2211yescharacteristic
82C37×#396C2211yescharacteristic
83C37×#396C2211yescharacteristic
84C37×#396C2211yescharacteristic
85C37×#396C2211yescharacteristic, complemented
86C37×#396C2211yescharacteristic, complemented
87C37×#395C2211yescharacteristic, complemented
88C37×#394C2211yescharacteristic
89C37×#394C2211yescharacteristic
90C37×#394C2211yescharacteristic
91C37×#394C2211yescharacteristic
92C37×#394C2211yescharacteristic
93C37×#394C2211yescharacteristic
94C37×#394C2211yescharacteristic
95C37×#394C2211yescharacteristic
96C37×#394C2211yescharacteristic, complemented
97C37×#393C2211yescharacteristic, complemented
98C37×#392C2211yescharacteristic
99C37×#391C2211yescharacteristic, complemented
100C37×#390C2211yescharacteristic
101C37×#390C2211yescharacteristic
102C37×#390C2211yescharacteristic
103C37×#390C2211yescharacteristic, complemented
104C37×#389C2211yescharacteristic, complemented
105C37×#389C2211yescharacteristic, complemented
106C37×#389C2211yescharacteristic, complemented
107C37×#389C2211yescharacteristic, complemented
108C37×#389C2211yescharacteristic, complemented
109C37×#389C2211yescharacteristic, complemented
110C37×#389C2211yescharacteristic, complemented
111C37×#389C2211yescharacteristic, complemented
112C37×#388C2211yescharacteristic
113C37×#388C2211yescharacteristic
114C37×#388C2211yescharacteristic
115C37×#388C2211yescharacteristic
116C37×#388C2211yescharacteristic
117C37×#388C2211yescharacteristic
118C37×#388C2211yescharacteristic
119C37×#388C2211yescharacteristic
120C37×#388C2211yescharacteristic
121C37×#388C2211yescharacteristic
122C37×#388C2211yescharacteristic
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×#386C2211yescharacteristic
143C37×#386C2211yescharacteristic
144C37×#386C2211yescharacteristic
145C37×#386C2211yescharacteristic
146C37×#386C2211yescharacteristic
147C37×#386C2211yescharacteristic
148C37×#386C2211yescharacteristic, complemented
149C37×#386C2211yescharacteristic, complemented
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, complemented
164C37×#385C2211yescharacteristic, complemented
165C37×#385C2211yescharacteristic, complemented
166C37×#385C2211yescharacteristic, complemented
167C37×#385C2211yescharacteristic, complemented
168C37×#385C2211yescharacteristic, complemented
169C37×#383C2211yescharacteristic, complemented
170C37×#382C2211yescharacteristic, complemented
171C37×#381C2211yescharacteristic
172C37×#381C2211yescharacteristic
173C37×#381C2211yescharacteristic, complemented
174C37×#380C2211yescharacteristic
175C37×#380C2211yescharacteristic
176C37×#380C2211yescharacteristic
177C37×#380C2211yescharacteristic, complemented
178C37×#379C2211yescharacteristic
179C37×#379C2211yescharacteristic
180C37×#379C2211yescharacteristic
181C37×#379C2211yescharacteristic
182C4×C4⋊C4×C37C2211yescharacteristic, complemented
183C4×C22⋊C4×C37C2211yescharacteristic
184C4×C22⋊C4×C37C2211yescharacteristic
185C4×C22⋊C4×C37C2211yescharacteristic
186C4×C22⋊C4×C37C2211yescharacteristic, complemented
187C25×C37C2311yescharacteristic
188C22×Q8×C37C2311yescharacteristic
189C22×D4×C37C2311yescharacteristic
190C22×D4×C37C2311yescharacteristic
191C22×D4×C37C2311yescharacteristic
192C22×D4×C37C2311yescharacteristic
193C22×D4×C37C2311yescharacteristic
194C22×D4×C37C2311yescharacteristic
195C22×D4×C37C2311yescharacteristic
196C23×C4×C37—42no—
197C23×C4×C37—42no—
198C23×C4×C37—42no—
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
209#126×C37—42no—
210#126×C37—42no—
211#123×C37—24no—
212#123×C37—42no—
213#123×C37—42no—
214C22⋊Q8×C37—42no—
215C22⋊Q8×C37—42no—
216C22⋊Q8×C37—42no—
217C22⋊Q8×C37—42no—
218#121×C37—24no—
219#121×C37—42no—
220#120×C37—24no—
221#120×C37—42no—
222C4×D4×C37—42no—
223C4×D4×C37—42no—
224C4×D4×C37—42no—
225#117×C37—42no—
226C2×C4⋊C4×C37—42no—
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×C22⋊C4×C37C2311yescharacteristic
264C2×C22⋊C4×C37C2311yescharacteristic
265C2×C22⋊C4×C37C2311yescharacteristic
266C2×C22⋊C4×C37C2311yescharacteristic
267C2×C22⋊C4×C37C2311yescharacteristic
268C2×C22⋊C4×C37C2311yescharacteristic
269C2×C22⋊C4×C37C2311yescharacteristic
270C2×C22⋊C4×C37C2311yescharacteristic
271C2×C22⋊C4×C37C2311yescharacteristic
272C2×C22⋊C4×C37C2311yescharacteristic
273C2×C22⋊C4×C37C2311yescharacteristic
274C2×C22⋊C4×C37C2311yescharacteristic
275C2×C22⋊C4×C37C2311yescharacteristic
276C2×C22⋊C4×C37C2311yescharacteristic
277C2×C22⋊C4×C37C2311yescharacteristic
278C2×C22⋊C4×C37C2311yescharacteristic
279C2×C22⋊C4×C37C2311yescharacteristic
280C2×C22⋊C4×C37C2311yescharacteristic
281C2×C22⋊C4×C37C2311yescharacteristic
282C2×C22⋊C4×C37C2311yescharacteristic
283C2×C22⋊C4×C37C2311yescharacteristic
284C2×C22⋊C4×C37C2311yescharacteristic
285C2×C22⋊C4×C37C2311yescharacteristic
286C2×C22⋊C4×C37C2311yescharacteristic
287C2×C22⋊C4×C37C2311yescharacteristic
288C2×C22⋊C4×C37C2311yescharacteristic
289C2×C22⋊C4×C37C2311yescharacteristic
290C2×C22⋊C4×C37C2311yescharacteristic
291C2×C22⋊C4×C37C2311yescharacteristic
292C2×C22⋊C4×C37C2311yescharacteristic
293C2×C22⋊C4×C37C2311yescharacteristic
294C2×C22⋊C4×C37C2311yescharacteristic
295C2×C22⋊C4×C37C2311yescharacteristic
296C2×C22⋊C4×C37C2311yescharacteristic
297C2×C22⋊C4×C37C2311yescharacteristic
298C2×C22⋊C4×C37C2311yescharacteristic
299C2×C22⋊C4×C37C2311yescharacteristic
300C2×C22⋊C4×C37C2311yescharacteristic
301C2×C22⋊C4×C37C2311yescharacteristic
302C2×C22⋊C4×C37C2311yescharacteristic
303C2×C22⋊C4×C37C2311yescharacteristic
304C2×C22⋊C4×C37C2311yescharacteristic
305C2×C22⋊C4×C37C2311yescharacteristic
306C2×C22⋊C4×C37C2311yescharacteristic
307C2×C22⋊C4×C37C2311yescharacteristic
308C2×C22⋊C4×C37C2311yescharacteristic
309C2×C22⋊C4×C37C2311yescharacteristic
310C2×C22⋊C4×C37C2311yescharacteristic
311C2×C42×C37C2311yescharacteristic
312C2×C42×C37C2311yescharacteristic
313C2×C42×C37C2311yescharacteristic
314C2×C42×C37C2311yescharacteristic
315C2×C42×C37C2311yescharacteristic
316C2×C42×C37C2311yescharacteristic
317C2×C42×C37C2311yescharacteristic
318C2×C42×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—41no—
367C24×C37—41no—
368C24×C37—41no—
369C24×C37—41no—
370C24×C37C2411yescharacteristic
371C24×C37C2411yescharacteristic
372C24×C37C2411yescharacteristic
373C24×C37C2411yescharacteristic
374C24×C37C2411yescharacteristic
375C2×Q8×C37—22no—
376C2×Q8×C37—41no—
377C2×Q8×C37—41no—
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—22no—
385C2×D4×C37—22no—
386C2×D4×C37—41no—
387C2×D4×C37—41no—
388C2×D4×C37—41no—
389C2×D4×C37—41no—
390C2×D4×C37—41no—
391C2×D4×C37—41no—
392C2×D4×C37—41no—
393C2×D4×C37—41no—
394C2×D4×C37—41no—
395C2×D4×C37—41no—
396C2×D4×C37—41no—
397C2×D4×C37—41no—
398C2×D4×C37#4114yes—
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—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—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—416no—
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
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
456C4⋊C4×C37—22no—
457C4⋊C4×C37—22no—
458C4⋊C4×C37—22no—
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—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—
491C4⋊C4×C37—41no—
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—41no—
510C22⋊C4×C37—41no—
511C22⋊C4×C37—41no—
512C22⋊C4×C37—41no—
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—
531C22⋊C4×C37—41no—
532C22⋊C4×C37—41no—
533C22⋊C4×C37—41no—
534C22⋊C4×C37—41no—
535C22⋊C4×C37—41no—
536C22⋊C4×C37—41no—
537C22⋊C4×C37—41no—
538C22⋊C4×C37—41no—
539C22⋊C4×C37—41no—
540C42×C37—22no—
541C42×C37—41no—
542C42×C37—41no—
543C42×C37—41no—
544C42×C37—41no—
545C42×C37—41no—
546C42×C37—41no—
547C42×C37—41no—
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—21no—
563C23×C37—21no—
564C23×C37—21no—
565C23×C37—21no—
566C23×C37—21no—
567C23×C37—21no—
568C23×C37—21no—
569C23×C37—21no—
570C23×C37—21no—
571C23×C37—21no—
572C23×C37—21no—
573C23×C37—21no—
574C23×C37—21no—
575C23×C37—21no—
576C23×C37—21no—
577C23×C37—21no—
578C23×C37—21no—
579C23×C37—44no—
580C23×C37—44no—
581C23×C37—44no—
582C23×C37—44no—
583C23×C37—44no—
584C23×C37—44no—
585C23×C37—44no—
586C23×C37C2×#4112yes—
587C23×C37C2×#4112yes—
588C23×C37H(5,𝔽2)12yes—
589C23×C372−1+412yes—
590C23×C37C2511yescharacteristic
591Q8×C37—82no—
592D4×C37—44no—
593D4×C37—44no—
594D4×C37—44no—
595D4×C37—82no—
596D4×C37—82no—
597D4×C37—82no—
598D4×C37—82no—
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—21no—
658C2×C4×C37—21no—
659C2×C4×C37—21no—
660C2×C4×C37—21no—
661C2×C4×C37—21no—
662C2×C4×C37—21no—
663C2×C4×C37—21no—
664C2×C4×C37—21no—
665C2×C4×C37—21no—
666C2×C4×C37—21no—
667C2×C4×C37—21no—
668C2×C4×C37—21no—
669C2×C4×C37—21no—
670C2×C4×C37—21no—
671C2×C4×C37—21no—
672C2×C4×C37—21no—
673C2×C4×C37—21no—
674C2×C4×C37—44no—
675C2×C4×C37—44no—
676C2×C4×C37—44no—
677C2×C4×C37—44no—
678C2×C4×C37—44no—
679C2×C4×C37—44no—
680C2×C4×C37—44no—
681C2×C4×C37—44no—
682C2×C4×C37—82no—
683C2×C4×C37—82no—
684C2×C4×C37C2×#4112yes—
685C2×C4×C37H(5,𝔽2)12yes—
686C2×C4×C37H(5,𝔽2)12yes—
687#36855C3711yesmaximal, characteristic, direct product factor, Sylow
688C22×C37—22no—
689C22×C37—22no—
690C22×C37—22no—
691C22×C37—22no—
692C22×C37—22no—
693C22×C37—22no—
694C22×C37—22no—
695C22×C37—22no—
696C22×C37—22no—
697C22×C37—22no—
698C22×C37—22no—
699C22×C37—22no—
700C22×C37—416no—
701C22×C37—41no—
702C22×C37—41no—
703C22×C37—41no—
704C22×C37—41no—
705C22×C37—41no—
706C22×C37—41no—
707C22×C37—41no—
708C22×C37—41no—
709C22×C37—41no—
710C22×C37—41no—
711C22×C37—41no—
712C22×C37—41no—
713C22×C37—41no—
714C22×C37—41no—
715C22×C37—41no—
716C22×C37—41no—
717C22×C37—41no—
718C22×C37—41no—
719C22×C37—41no—
720C22×C37—41no—
721C22×C37—41no—
722C22×C37—41no—
723C22×C37—41no—
724C22×C37C22×#4111yescharacteristic
725C22×C37C2×H(5,𝔽2)11yescharacteristic
726C22×C37C2×H(5,𝔽2)11yescharacteristic
727C22×C37C2×H(5,𝔽2)11yescharacteristic
728C22×C37C2×2−1+411yescharacteristic
729C22×C37#58511yescharacteristic
730C22×C37#58511yescharacteristic
731C4×C37—22no—
732C4×C37—22no—
733C4×C37—22no—
734C4×C37—41no—
735C4×C37—41no—
736C4×C37—41no—
737C4×C37—41no—
738C4×C37—41no—
739C4×C37—41no—
740C4×C37—41no—
741C4×C37—41no—
742C4×C37—41no—
743C4×C37—41no—
744C4×C37—41no—
745C4×C37—41no—
746C4×C37—41no—
747C4×C37—41no—
748C4×C37—41no—
749C4×C37—41no—
750C4×C37—41no—
751C4×C37—41no—
752C4×C37—41no—
753C4×C37—41no—
754C4×C37—41no—
755C4×C37—41no—
756C4×C37—41no—
757#2849C2×C3711yescharacteristic, complemented
758#2848C2×C3711yescharacteristic, complemented
759#2807C2×C3711yescharacteristic, complemented
760#2782C2×C3711yescharacteristic, complemented
761#2780C2×C3711yescharacteristic, complemented
762#2770C2×C3711yescharacteristic, complemented
763#2749C2×C3711yescharacteristic, complemented
764#2743C2×C3711yescharacteristic, complemented
765#2735C2×C3711yescharacteristic, complemented
766#2732C2×C3711yescharacteristic, complemented
767#2723C2×C3711yescharacteristic, complemented
768#2708C2×C3711yescharacteristic, complemented
769#2697C2×C3711yescharacteristic, complemented
770#2695C2×C3711yescharacteristic, complemented
771#2689C2×C3711yescharacteristic, complemented
772#2685C2×C3711yescharacteristic, complemented
773#2681C2×C3711yescharacteristic, complemented
774#2668C2×C3711yescharacteristic
775#2652C2×C3711yescharacteristic, complemented
776#2649C2×C3711yescharacteristic, complemented
777#2522C2×C3711yescharacteristic, complemented
778#2515C2×C3711yescharacteristic, complemented
779#2477C2×C3711yescharacteristic, complemented
780#2470C2×C3711yescharacteristic, complemented
781#2467C2×C3711yescharacteristic, complemented
782#2466C2×C3711yescharacteristic, complemented
783#2449C2×C3711yescharacteristic, complemented
784#2443C2×C3711yescharacteristic, complemented
785#2324C2×C3711yescharacteristic, complemented
786#2322C2×C3711yescharacteristic, complemented
787C4×#120C2×C3711yescharacteristic, complemented
788C2×C37—42no—
789C2×C37—42no—
790C2×C37—42no—
791C2×C37—42no—
792C2×C37—81no—
793C2×C37#345911yescharacteristic
794C2×C37#351311yescharacteristic
795C2×C37#352011yescharacteristic
796C2×C37#353211yescharacteristic
797C2×C37#353511yescharacteristic
798C2×C37#353911yescharacteristic
799C2×C37#354111yescharacteristic
800C24×C4C22×C3711yescharacteristic
801C2×#126C22×C3711yescharacteristic
802C2×#126C22×C3711yescharacteristic, complemented
803C2×#123C22×C3711yescharacteristic
804C2×#123C22×C3711yescharacteristic
805C2×#123C22×C3711yescharacteristic
806C2×C22⋊Q8C22×C3711yescharacteristic
807C2×C22⋊Q8C22×C3711yescharacteristic
808C2×C22⋊Q8C22×C3711yescharacteristic
809C2×C22⋊Q8C22×C3711yescharacteristic, complemented
810C2×#121C22×C3711yescharacteristic
811C2×#121C22×C3711yescharacteristic
812C2×#120C22×C3711yescharacteristic
813C2×#120C22×C3711yescharacteristic
814C2×C4×D4C22×C3711yescharacteristic
815C2×C4×D4C22×C3711yescharacteristic
816C2×C4×D4C22×C3711yescharacteristic
817C2×#117C22×C3711yescharacteristic, complemented
818C22×C4⋊C4C22×C3711yescharacteristic, complemented
819#400C22×C3711yescharacteristic, complemented
820#400C22×C3711yescharacteristic, complemented
821#400C22×C3711yescharacteristic, complemented
822#400C22×C3711yescharacteristic, complemented
823#400C22×C3711yescharacteristic, complemented
824#400C22×C3711yescharacteristic, complemented
825#400C22×C3711yescharacteristic, complemented
826#400C22×C3711yescharacteristic, complemented
827#399C22×C3711yescharacteristic
828#399C22×C3711yescharacteristic
829#399C22×C3711yescharacteristic
830#399C22×C3711yescharacteristic, complemented
831#399C22×C3711yescharacteristic, complemented
832#398C22×C3711yescharacteristic, complemented
833#398C22×C3711yescharacteristic, complemented
834#398C22×C3711yescharacteristic, complemented
835#398C22×C3711yescharacteristic, complemented
836#398C22×C3711yescharacteristic, complemented
837#398C22×C3711yescharacteristic, complemented
838#397C22×C3711yescharacteristic
839#397C22×C3711yescharacteristic
840#397C22×C3711yescharacteristic
841#397C22×C3711yescharacteristic
842#397C22×C3711yescharacteristic
843#397C22×C3711yescharacteristic
844#397C22×C3711yescharacteristic
845#397C22×C3711yescharacteristic, complemented
846#397C22×C3711yescharacteristic, complemented
847#397C22×C3711yescharacteristic, complemented
848#396C22×C3711yescharacteristic
849#396C22×C3711yescharacteristic
850#396C22×C3711yescharacteristic
851#396C22×C3711yescharacteristic
852#396C22×C3711yescharacteristic
853#396C22×C3711yescharacteristic, complemented
854#396C22×C3711yescharacteristic, complemented
855#395C22×C3711yescharacteristic, complemented
856#394C22×C3711yescharacteristic
857#394C22×C3711yescharacteristic
858#394C22×C3711yescharacteristic
859#394C22×C3711yescharacteristic
860#394C22×C3711yescharacteristic
861#394C22×C3711yescharacteristic
862#394C22×C3711yescharacteristic
863#394C22×C3711yescharacteristic
864#394C22×C3711yescharacteristic, complemented
865#393C22×C3711yescharacteristic, complemented
866#392C22×C3711yescharacteristic
867#391C22×C3711yescharacteristic, complemented
868#390C22×C3711yescharacteristic
869#390C22×C3711yescharacteristic
870#390C22×C3711yescharacteristic
871#390C22×C3711yescharacteristic, complemented
872#389C22×C3711yescharacteristic, complemented
873#389C22×C3711yescharacteristic, complemented
874#389C22×C3711yescharacteristic, complemented
875#389C22×C3711yescharacteristic, complemented
876#389C22×C3711yescharacteristic, complemented
877#389C22×C3711yescharacteristic, complemented
878#389C22×C3711yescharacteristic, complemented
879#389C22×C3711yescharacteristic, complemented
880#388C22×C3711yescharacteristic
881#388C22×C3711yescharacteristic
882#388C22×C3711yescharacteristic
883#388C22×C3711yescharacteristic
884#388C22×C3711yescharacteristic
885#388C22×C3711yescharacteristic
886#388C22×C3711yescharacteristic
887#388C22×C3711yescharacteristic
888#388C22×C3711yescharacteristic
889#388C22×C3711yescharacteristic
890#388C22×C3711yescharacteristic
891#388C22×C3711yescharacteristic, complemented
892#388C22×C3711yescharacteristic, complemented
893#388C22×C3711yescharacteristic, complemented
894#387C22×C3711yescharacteristic, complemented
895#387C22×C3711yescharacteristic, complemented
896#387C22×C3711yescharacteristic, complemented
897#387C22×C3711yescharacteristic, complemented
898#387C22×C3711yescharacteristic, complemented
899#387C22×C3711yescharacteristic, complemented
900#387C22×C3711yescharacteristic, complemented
901#387C22×C3711yescharacteristic, complemented
902#387C22×C3711yescharacteristic, complemented
903#386C22×C3711yescharacteristic
904#386C22×C3711yescharacteristic
905#386C22×C3711yescharacteristic
906#386C22×C3711yescharacteristic
907#386C22×C3711yescharacteristic
908#386C22×C3711yescharacteristic
909#386C22×C3711yescharacteristic
910#386C22×C3711yescharacteristic
911#386C22×C3711yescharacteristic
912#386C22×C3711yescharacteristic
913#386C22×C3711yescharacteristic
914#386C22×C3711yescharacteristic
915#386C22×C3711yescharacteristic
916#386C22×C3711yescharacteristic, complemented
917#386C22×C3711yescharacteristic, complemented
918#385C22×C3711yescharacteristic
919#385C22×C3711yescharacteristic
920#385C22×C3711yescharacteristic
921#385C22×C3711yescharacteristic
922#385C22×C3711yescharacteristic
923#385C22×C3711yescharacteristic
924#385C22×C3711yescharacteristic
925#385C22×C3711yescharacteristic
926#385C22×C3711yescharacteristic
927#385C22×C3711yescharacteristic
928#385C22×C3711yescharacteristic
929#385C22×C3711yescharacteristic
930#385C22×C3711yescharacteristic
931#385C22×C3711yescharacteristic, complemented
932#385C22×C3711yescharacteristic, complemented
933#385C22×C3711yescharacteristic, complemented
934#385C22×C3711yescharacteristic, complemented
935#385C22×C3711yescharacteristic, complemented
936#385C22×C3711yescharacteristic, complemented
937#383C22×C3711yescharacteristic, complemented
938#382C22×C3711yescharacteristic, complemented
939#381C22×C3711yescharacteristic
940#381C22×C3711yescharacteristic
941#381C22×C3711yescharacteristic, complemented
942#380C22×C3711yescharacteristic
943#380C22×C3711yescharacteristic
944#380C22×C3711yescharacteristic
945#380C22×C3711yescharacteristic, complemented
946#379C22×C3711yescharacteristic
947#379C22×C3711yescharacteristic
948#379C22×C3711yescharacteristic
949#379C22×C3711yescharacteristic
950C4×C4⋊C4C22×C3711yescharacteristic, complemented
951C4×C22⋊C4C22×C3711yescharacteristic
952C4×C22⋊C4C22×C3711yescharacteristic
953C4×C22⋊C4C22×C3711yescharacteristic
954C4×C22⋊C4C22×C3711yescharacteristic, complemented
955C37#3685511yescharacteristic, direct product factor, Sylow
956C25C23×C3711yescharacteristic
957C22×Q8C23×C3711yescharacteristic
958C22×D4C23×C3711yescharacteristic
959C22×D4C23×C3711yescharacteristic
960C22×D4C23×C3711yescharacteristic
961C22×D4C23×C3711yescharacteristic
962C22×D4C23×C3711yescharacteristic
963C22×D4C23×C3711yescharacteristic
964C22×D4C23×C3711yescharacteristic
965C23×C4—42no—
966C23×C4—42no—
967C23×C4—42no—
968C23×C4C23×C3711yescharacteristic
969C23×C4C23×C3711yescharacteristic
970C23×C4C23×C3711yescharacteristic
971C23×C4C23×C3711yescharacteristic
972C23×C4C23×C3711yescharacteristic
973C23×C4C23×C3711yescharacteristic
974C23×C4C23×C3711yescharacteristic
975C23×C4C23×C3711yescharacteristic
976C23×C4C23×C3711yescharacteristic
977C23×C4C23×C3711yescharacteristic
978#126—42no—
979#126—42no—
980#123—24no—
981#123—42no—
982#123—42no—
983C22⋊Q8—42no—
984C22⋊Q8—42no—
985C22⋊Q8—42no—
986C22⋊Q8—42no—
987#121—24no—
988#121—42no—
989#120—24no—
990#120—42no—
991C4×D4—42no—
992C4×D4—42no—
993C4×D4—42no—
994#117—42no—
995C2×C4⋊C4—42no—
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×C4⋊C4C23×C3711yescharacteristic
1012C2×C4⋊C4C23×C3711yescharacteristic
1013C2×C4⋊C4C23×C3711yescharacteristic
1014C2×C4⋊C4C23×C3711yescharacteristic
1015C2×C4⋊C4C23×C3711yescharacteristic
1016C2×C4⋊C4C23×C3711yescharacteristic
1017C2×C4⋊C4C23×C3711yescharacteristic
1018C2×C4⋊C4C23×C3711yescharacteristic
1019C2×C4⋊C4C23×C3711yescharacteristic
1020C2×C4⋊C4C23×C3711yescharacteristic
1021C2×C4⋊C4C23×C3711yescharacteristic
1022C2×C4⋊C4C23×C3711yescharacteristic
1023C2×C4⋊C4C23×C3711yescharacteristic
1024C2×C4⋊C4C23×C3711yescharacteristic
1025C2×C4⋊C4C23×C3711yescharacteristic
1026C2×C4⋊C4C23×C3711yescharacteristic
1027C2×C4⋊C4C23×C3711yescharacteristic
1028C2×C4⋊C4C23×C3711yescharacteristic
1029C2×C4⋊C4C23×C3711yescharacteristic
1030C2×C4⋊C4C23×C3711yescharacteristic
1031C2×C4⋊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×C22⋊C4C23×C3711yescharacteristic
1054C2×C22⋊C4C23×C3711yescharacteristic
1055C2×C22⋊C4C23×C3711yescharacteristic
1056C2×C22⋊C4C23×C3711yescharacteristic
1057C2×C22⋊C4C23×C3711yescharacteristic
1058C2×C22⋊C4C23×C3711yescharacteristic
1059C2×C22⋊C4C23×C3711yescharacteristic
1060C2×C22⋊C4C23×C3711yescharacteristic
1061C2×C22⋊C4C23×C3711yescharacteristic
1062C2×C22⋊C4C23×C3711yescharacteristic
1063C2×C22⋊C4C23×C3711yescharacteristic
1064C2×C22⋊C4C23×C3711yescharacteristic
1065C2×C22⋊C4C23×C3711yescharacteristic
1066C2×C22⋊C4C23×C3711yescharacteristic
1067C2×C22⋊C4C23×C3711yescharacteristic
1068C2×C22⋊C4C23×C3711yescharacteristic
1069C2×C22⋊C4C23×C3711yescharacteristic
1070C2×C22⋊C4C23×C3711yescharacteristic
1071C2×C22⋊C4C23×C3711yescharacteristic
1072C2×C22⋊C4C23×C3711yescharacteristic
1073C2×C22⋊C4C23×C3711yescharacteristic
1074C2×C22⋊C4C23×C3711yescharacteristic
1075C2×C22⋊C4C23×C3711yescharacteristic
1076C2×C22⋊C4C23×C3711yescharacteristic
1077C2×C22⋊C4C23×C3711yescharacteristic
1078C2×C22⋊C4C23×C3711yescharacteristic
1079C2×C22⋊C4C23×C3711yescharacteristic
1080C2×C42C23×C3711yescharacteristic
1081C2×C42C23×C3711yescharacteristic
1082C2×C42C23×C3711yescharacteristic
1083C2×C42C23×C3711yescharacteristic
1084C2×C42C23×C3711yescharacteristic
1085C2×C42C23×C3711yescharacteristic
1086C2×C42C23×C3711yescharacteristic
1087C2×C42C23×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
1112#95C23×C3711yescharacteristic
1113#95C23×C3711yescharacteristic
1114#95C23×C3711yescharacteristic
1115#95C23×C3711yescharacteristic
1116#95C23×C3711yescharacteristic
1117#95C23×C3711yescharacteristic
1118#95C23×C3711yescharacteristic
1119#95C23×C3711yescharacteristic
1120#95C23×C3711yescharacteristic
1121#95C23×C3711yescharacteristic
1122#95C23×C3711yescharacteristic
1123#95C23×C3711yescharacteristic
1124#95C23×C3711yescharacteristic
1125#95C23×C3711yescharacteristic
1126#95C23×C3711yescharacteristic
1127#95C23×C3711yescharacteristic
1128#95C23×C3711yescharacteristic
1129#95C23×C3711yescharacteristic
1130#95C23×C3711yescharacteristic
1131#95C23×C3711yescharacteristic
1132C24—22no—
1133C24—22no—
1134C24—22no—
1135C24—41no—
1136C24—41no—
1137C24—41no—
1138C24—41no—
1139C24C24×C3711yescharacteristic
1140C24C24×C3711yescharacteristic
1141C24C24×C3711yescharacteristic
1142C24C24×C3711yescharacteristic
1143C24C24×C3711yescharacteristic
1144C2×Q8—22no—
1145C2×Q8—41no—
1146C2×Q8—41no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4#41×C3714yes—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—416no—
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
1208C22×C4C24×C3711yescharacteristic
1209C22×C4C24×C3711yescharacteristic
1210C22×C4C24×C3711yescharacteristic
1211C22×C4C24×C3711yescharacteristic
1212C22×C4C24×C3711yescharacteristic
1213C22×C4C24×C3711yescharacteristic
1214C22×C4C24×C3711yescharacteristic
1215C22×C4C24×C3711yescharacteristic
1216C22×C4C24×C3711yescharacteristic
1217C22×C4C24×C3711yescharacteristic
1218C22×C4C24×C3711yescharacteristic
1219C22×C4C24×C3711yescharacteristic
1220C22×C4C24×C3711yescharacteristic
1221C22×C4C24×C3711yescharacteristic
1222C22×C4C24×C3711yescharacteristic
1223C22×C4C24×C3711yescharacteristic
1224C22×C4C24×C3711yescharacteristic
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C42—22no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C42—41no—
1316C42—41no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—44no—
1349C23—44no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23C2×#41×C3712yes—
1356C23C2×#41×C3712yes—
1357C23H(5,𝔽2)×C3712yes—
1358C232−1+4×C3712yes—
1359C23C25×C3711yescharacteristic
1360Q8—82no—
1361D4—44no—
1362D4—44no—
1363D4—44no—
1364D4—82no—
1365D4—82no—
1366D4—82no—
1367D4—82no—
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—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—82no—
1452C2×C4—82no—
1453C2×C4C2×#41×C3712yes—
1454C2×C4H(5,𝔽2)×C3712yes—
1455C2×C4H(5,𝔽2)×C3712yes—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—416no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22C22×#41×C3711yescharacteristic
1493C22C2×H(5,𝔽2)×C3711yescharacteristic
1494C22C2×H(5,𝔽2)×C3711yescharacteristic
1495C22C2×H(5,𝔽2)×C3711yescharacteristic
1496C22C2×2−1+4×C3711yescharacteristic
1497C22C37×#58511yescharacteristic
1498C22C37×#58511yescharacteristic
1499C4—22no—
1500C4—22no—
1501C4—22no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C2—42no—
1526C2—42no—
1527C2—42no—
1528C2—42no—
1529C2—81no—
1530C2C37×#345911yescharacteristic
1531C2C37×#351311yescharacteristic
1532C2C37×#352011yescharacteristic
1533C2C37×#353211yescharacteristic
1534C2C37×#353511yescharacteristic
1535C2C37×#353911yescharacteristic
1536C2C37×#354111yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutator, Frattini, cosocleC23C25×C37
prime radicalC37×#2668C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#2849C2semidirect
2. C37×#2848C2semidirect
3. C37×#2807C2semidirect
4. C37×#2782C2semidirect
5. C37×#2780C2semidirect
6. C37×#2770C2semidirect
7. C37×#2749C2semidirect
8. C37×#2743C2semidirect
9. C37×#2735C2semidirect
10. C37×#2732C2semidirect
11. C37×#2723C2semidirect
12. C37×#2708C2semidirect
13. C37×#2697C2semidirect
14. C37×#2695C2semidirect
15. C37×#2689C2semidirect
16. C37×#2685C2semidirect
17. C37×#2681C2semidirect
19. C37×#2652C2semidirect
20. C37×#2649C2semidirect
21. C37×#2522C2semidirect
22. C37×#2515C2semidirect
23. C37×#2477C2semidirect
24. C37×#2470C2semidirect
25. C37×#2467C2semidirect
26. C37×#2466C2semidirect
27. C37×#2449C2semidirect
28. C37×#2443C2semidirect
29. C37×#2324C2semidirect
30. C37×#2322C2semidirect
31. C4×#120×C37C2semidirect
34. C2×#126×C37C22semidirect
41. C2×C22⋊Q8×C37C22semidirect
49. C2×#117×C37C22semidirect
50. C22×C4⋊C4×C37C22semidirect
51. C37×#400C22semidirect
52. C37×#400C22semidirect
53. C37×#400C22semidirect
54. C37×#400C22semidirect
55. C37×#400C22semidirect
56. C37×#400C22semidirect
57. C37×#400C22semidirect
58. C37×#400C22semidirect
62. C37×#399C22semidirect
63. C37×#399C22semidirect
64. C37×#398C22semidirect
65. C37×#398C22semidirect
66. C37×#398C22semidirect
67. C37×#398C22semidirect
68. C37×#398C22semidirect
69. C37×#398C22semidirect
77. C37×#397C22semidirect
78. C37×#397C22semidirect
79. C37×#397C22semidirect
85. C37×#396C22semidirect
86. C37×#396C22semidirect
87. C37×#395C22semidirect
96. C37×#394C22semidirect
97. C37×#393C22semidirect
99. C37×#391C22semidirect
103. C37×#390C22semidirect
104. C37×#389C22semidirect
105. C37×#389C22semidirect
106. C37×#389C22semidirect
107. C37×#389C22semidirect
108. C37×#389C22semidirect
109. C37×#389C22semidirect
110. C37×#389C22semidirect
111. C37×#389C22semidirect
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
148. C37×#386C22semidirect
149. C37×#386C22semidirect
163. C37×#385C22semidirect
164. C37×#385C22semidirect
165. C37×#385C22semidirect
166. C37×#385C22semidirect
167. C37×#385C22semidirect
168. C37×#385C22semidirect
169. C37×#383C22semidirect
170. C37×#382C22semidirect
173. C37×#381C22semidirect
177. C37×#380C22semidirect
182. C4×C4⋊C4×C37C22semidirect
186. C4×C22⋊C4×C37C22semidirect
687. #36855C37direct (N × H)
757. #2849C2×C37semidirect
758. #2848C2×C37semidirect
759. #2807C2×C37semidirect
760. #2782C2×C37semidirect
761. #2780C2×C37semidirect
762. #2770C2×C37semidirect
763. #2749C2×C37semidirect
764. #2743C2×C37semidirect
765. #2735C2×C37semidirect
766. #2732C2×C37semidirect
767. #2723C2×C37semidirect
768. #2708C2×C37semidirect
769. #2697C2×C37semidirect
770. #2695C2×C37semidirect
771. #2689C2×C37semidirect
772. #2685C2×C37semidirect
773. #2681C2×C37semidirect
775. #2652C2×C37semidirect
776. #2649C2×C37semidirect
777. #2522C2×C37semidirect
778. #2515C2×C37semidirect
779. #2477C2×C37semidirect
780. #2470C2×C37semidirect
781. #2467C2×C37semidirect
782. #2466C2×C37semidirect
783. #2449C2×C37semidirect
784. #2443C2×C37semidirect
785. #2324C2×C37semidirect
786. #2322C2×C37semidirect
787. C4×#120C2×C37semidirect
802. C2×#126C22×C37semidirect
809. C2×C22⋊Q8C22×C37semidirect
817. C2×#117C22×C37semidirect
818. C22×C4⋊C4C22×C37semidirect
819. #400C22×C37semidirect
820. #400C22×C37semidirect
821. #400C22×C37semidirect
822. #400C22×C37semidirect
823. #400C22×C37semidirect
824. #400C22×C37semidirect
825. #400C22×C37semidirect
826. #400C22×C37semidirect
830. #399C22×C37semidirect
831. #399C22×C37semidirect
832. #398C22×C37semidirect
833. #398C22×C37semidirect
834. #398C22×C37semidirect
835. #398C22×C37semidirect
836. #398C22×C37semidirect
837. #398C22×C37semidirect
845. #397C22×C37semidirect
846. #397C22×C37semidirect
847. #397C22×C37semidirect
853. #396C22×C37semidirect
854. #396C22×C37semidirect
855. #395C22×C37semidirect
864. #394C22×C37semidirect
865. #393C22×C37semidirect
867. #391C22×C37semidirect
871. #390C22×C37semidirect
872. #389C22×C37semidirect
873. #389C22×C37semidirect
874. #389C22×C37semidirect
875. #389C22×C37semidirect
876. #389C22×C37semidirect
877. #389C22×C37semidirect
878. #389C22×C37semidirect
879. #389C22×C37semidirect
891. #388C22×C37semidirect
892. #388C22×C37semidirect
893. #388C22×C37semidirect
894. #387C22×C37semidirect
895. #387C22×C37semidirect
896. #387C22×C37semidirect
897. #387C22×C37semidirect
898. #387C22×C37semidirect
899. #387C22×C37semidirect
900. #387C22×C37semidirect
901. #387C22×C37semidirect
902. #387C22×C37semidirect
916. #386C22×C37semidirect
917. #386C22×C37semidirect
931. #385C22×C37semidirect
932. #385C22×C37semidirect
933. #385C22×C37semidirect
934. #385C22×C37semidirect
935. #385C22×C37semidirect
936. #385C22×C37semidirect
937. #383C22×C37semidirect
938. #382C22×C37semidirect
941. #381C22×C37semidirect
945. #380C22×C37semidirect
950. C4×C4⋊C4C22×C37semidirect
954. C4×C22⋊C4C22×C37semidirect
955. C37#36855direct (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×#27822
C37×#27802
C37×#27702
C37×#27492
C37×#27432
C37×#27352
C37×#27322
C37×#27232
C37×#27082
C37×#26972
C37×#26952
C37×#26892
C37×#26852
C37×#26812
C37×#26682
C37×#26522
C37×#26492
C37×#25222
C37×#25152
C37×#24772
C37×#24702
C37×#24672
C37×#24662
C37×#24492
C37×#24432
C37×#23242
C37×#23222
C4×#120×C372
#3685537