Finite Group Databasebeta

← C37×#36888 #22658141

Subgroups — C37×#36888 #22658141

Order 9472.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1534 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×#2796C211yesmaximal, characteristic, complemented
4C37×#2790C211yesmaximal, characteristic, complemented
5C37×#2779C211yesmaximal, characteristic, complemented
6C37×#2753C211yesmaximal, characteristic, complemented
7C37×#2748C211yesmaximal, characteristic, complemented
8C37×#2740C211yesmaximal, characteristic, complemented
9C37×#2735C211yesmaximal, characteristic, complemented
10C37×#2730C211yesmaximal, characteristic, complemented
11C37×#2720C211yesmaximal, characteristic, complemented
12C37×#2707C211yesmaximal, characteristic, complemented
13C37×#2698C211yesmaximal, characteristic, complemented
14C37×#2695C211yesmaximal, characteristic, complemented
15C37×#2685C211yesmaximal, characteristic, complemented
16C37×#2685C211yesmaximal, characteristic, complemented
17C37×#2678C211yesmaximal, characteristic
18C37×#2672C211yesmaximal, characteristic, complemented
19C37×#2633C211yesmaximal, characteristic, complemented
20C37×#2630C211yesmaximal, characteristic, complemented
21C37×#2578C211yesmaximal, characteristic, complemented
22C37×#2573C211yesmaximal, characteristic, complemented
23C37×#2558C211yesmaximal, characteristic, complemented
24C37×#2556C211yesmaximal, characteristic, complemented
25C37×#2468C211yesmaximal, characteristic, complemented
26C37×#2461C211yesmaximal, characteristic, complemented
27C37×#2454C211yesmaximal, characteristic, complemented
28C37×#2422C211yesmaximal, characteristic, complemented
29C37×#2335C211yesmaximal, characteristic, complemented
30C37×#2334C211yesmaximal, characteristic, complemented
31C4×#120×C37C211yesmaximal, characteristic, complemented
32C24×C4×C37C2211yescharacteristic
33C2×#126×C37C2211yescharacteristic
34C2×#126×C37C2211yescharacteristic
35C2×#125×C37C2211yescharacteristic, complemented
36C2×#125×C37C2211yescharacteristic, complemented
37C2×#124×C37C2211yescharacteristic, complemented
38C2×#123×C37C2211yescharacteristic
39C2×#123×C37C2211yescharacteristic
40C2×#123×C37C2211yescharacteristic
41C2×#123×C37C2211yescharacteristic, complemented
42C2×C22⋊Q8×C37C2211yescharacteristic
43C2×C22⋊Q8×C37C2211yescharacteristic
44C2×C22⋊Q8×C37C2211yescharacteristic
45C2×#121×C37C2211yescharacteristic
46C2×#120×C37C2211yescharacteristic
47C2×#120×C37C2211yescharacteristic
48C2×C4×D4×C37C2211yescharacteristic
49C2×C4×D4×C37C2211yescharacteristic
50C2×C4×D4×C37C2211yescharacteristic
51C37×#400C2211yescharacteristic, complemented
52C37×#400C2211yescharacteristic, complemented
53C37×#400C2211yescharacteristic, complemented
54C37×#400C2211yescharacteristic, complemented
55C37×#399C2211yescharacteristic
56C37×#399C2211yescharacteristic
57C37×#399C2211yescharacteristic
58C37×#399C2211yescharacteristic, complemented
59C37×#399C2211yescharacteristic, complemented
60C37×#398C2211yescharacteristic, complemented
61C37×#398C2211yescharacteristic, complemented
62C37×#398C2211yescharacteristic, complemented
63C37×#398C2211yescharacteristic, complemented
64C37×#398C2211yescharacteristic, complemented
65C37×#398C2211yescharacteristic, complemented
66C37×#397C2211yescharacteristic
67C37×#397C2211yescharacteristic
68C37×#397C2211yescharacteristic
69C37×#397C2211yescharacteristic
70C37×#397C2211yescharacteristic, complemented
71C37×#397C2211yescharacteristic, complemented
72C37×#397C2211yescharacteristic, complemented
73C37×#397C2211yescharacteristic, complemented
74C37×#396C2211yescharacteristic
75C37×#396C2211yescharacteristic
76C37×#396C2211yescharacteristic
77C37×#396C2211yescharacteristic
78C37×#396C2211yescharacteristic
79C37×#396C2211yescharacteristic, complemented
80C37×#396C2211yescharacteristic, complemented
81C37×#396C2211yescharacteristic, complemented
82C37×#396C2211yescharacteristic, complemented
83C37×#395C2211yescharacteristic, complemented
84C37×#395C2211yescharacteristic, complemented
85C37×#394C2211yescharacteristic
86C37×#394C2211yescharacteristic
87C37×#394C2211yescharacteristic
88C37×#394C2211yescharacteristic
89C37×#394C2211yescharacteristic
90C37×#394C2211yescharacteristic
91C37×#394C2211yescharacteristic
92C37×#394C2211yescharacteristic
93C37×#394C2211yescharacteristic
94C37×#394C2211yescharacteristic
95C37×#394C2211yescharacteristic, complemented
96C37×#394C2211yescharacteristic, complemented
97C37×#392C2211yescharacteristic
98C37×#392C2211yescharacteristic
99C37×#391C2211yescharacteristic, complemented
100C37×#390C2211yescharacteristic
101C37×#390C2211yescharacteristic
102C37×#390C2211yescharacteristic
103C37×#390C2211yescharacteristic
104C37×#390C2211yescharacteristic
105C37×#390C2211yescharacteristic
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
124C37×#388C2211yescharacteristic
125C37×#388C2211yescharacteristic, complemented
126C37×#388C2211yescharacteristic, complemented
127C37×#388C2211yescharacteristic, complemented
128C37×#388C2211yescharacteristic, complemented
129C37×#388C2211yescharacteristic, complemented
130C37×#388C2211yescharacteristic, complemented
131C37×#388C2211yescharacteristic, complemented
132C37×#387C2211yescharacteristic, complemented
133C37×#387C2211yescharacteristic, complemented
134C37×#387C2211yescharacteristic, complemented
135C37×#387C2211yescharacteristic, complemented
136C37×#387C2211yescharacteristic, complemented
137C37×#387C2211yescharacteristic, complemented
138C37×#387C2211yescharacteristic, complemented
139C37×#387C2211yescharacteristic, complemented
140C37×#387C2211yescharacteristic, complemented
141C37×#386C2211yescharacteristic
142C37×#386C2211yescharacteristic
143C37×#386C2211yescharacteristic
144C37×#386C2211yescharacteristic
145C37×#386C2211yescharacteristic
146C37×#386C2211yescharacteristic
147C37×#386C2211yescharacteristic
148C37×#386C2211yescharacteristic
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, complemented
163C37×#385C2211yescharacteristic, complemented
164C37×#385C2211yescharacteristic, complemented
165C37×#384C2211yescharacteristic, complemented
166C37×#383C2211yescharacteristic, complemented
167C37×#382C2211yescharacteristic, complemented
168C37×#381C2211yescharacteristic
169C37×#381C2211yescharacteristic
170C37×#380C2211yescharacteristic
171C37×#380C2211yescharacteristic
172C37×#380C2211yescharacteristic
173C37×#380C2211yescharacteristic, complemented
174C37×#380C2211yescharacteristic, complemented
175C37×#380C2211yescharacteristic, complemented
176C37×#379C2211yescharacteristic
177C37×#379C2211yescharacteristic
178C37×#379C2211yescharacteristic
179C37×#379C2211yescharacteristic
180C4×C4⋊C4×C37C2211yescharacteristic, complemented
181C4×C4⋊C4×C37C2211yescharacteristic, complemented
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
207#126×C37—24no—
208#126×C37—42no—
209#125×C37—42no—
210#125×C37—42no—
211#124×C37—42no—
212#123×C37—24no—
213#123×C37—42no—
214#123×C37—42no—
215#123×C37—42no—
216C22⋊Q8×C37—42no—
217C22⋊Q8×C37—42no—
218C22⋊Q8×C37—42no—
219#121×C37—42no—
220#120×C37—24no—
221#120×C37—42no—
222C4×D4×C37—42no—
223C4×D4×C37—42no—
224C4×D4×C37—42no—
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×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×C22⋊C4×C37C2311yescharacteristic
312C2×C22⋊C4×C37C2311yescharacteristic
313C2×C42×C37C2311yescharacteristic
314C2×C42×C37C2311yescharacteristic
315C2×C42×C37C2311yescharacteristic
316C2×C42×C37C2311yescharacteristic
317C2×C42×C37C2311yescharacteristic
318C2×C42×C37C2311yescharacteristic
319C2×C42×C37C2311yescharacteristic
320C2×C42×C37C2311yescharacteristic
321C2×C42×C37C2311yescharacteristic
322C2×C42×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—41no—
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—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—41no—
419C22×C4×C37—41no—
420C22×C4×C37—41no—
421C22×C4×C37—41no—
422C22×C4×C37—41no—
423C22×C4×C37—416no—
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
447C22×C4×C37C2411yescharacteristic
448C22×C4×C37C2411yescharacteristic
449C22×C4×C37C2411yescharacteristic
450C4⋊C4×C37—22no—
451C4⋊C4×C37—22no—
452C4⋊C4×C37—22no—
453C4⋊C4×C37—22no—
454C4⋊C4×C37—22no—
455C4⋊C4×C37—22no—
456C4⋊C4×C37—22no—
457C4⋊C4×C37—22no—
458C4⋊C4×C37—22no—
459C4⋊C4×C37—22no—
460C4⋊C4×C37—22no—
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—
488C22⋊C4×C37—22no—
489C22⋊C4×C37—22no—
490C22⋊C4×C37—22no—
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—41no—
504C22⋊C4×C37—41no—
505C22⋊C4×C37—41no—
506C22⋊C4×C37—41no—
507C22⋊C4×C37—41no—
508C22⋊C4×C37—41no—
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#4114yes—
538C42×C37—22no—
539C42×C37—22no—
540C42×C37—41no—
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—21no—
580C23×C37—44no—
581C23×C37—44no—
582C23×C37—44no—
583C23×C37—44no—
584C23×C37—44no—
585C23×C37—44no—
586C23×C37—44no—
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—44no—
674C2×C4×C37—44no—
675C2×C4×C37—44no—
676C2×C4×C37—44no—
677C2×C4×C37—44no—
678C2×C4×C37—44no—
679C2×C4×C37—82no—
680C2×C4×C37—82no—
681C2×C4×C37C2×#4112yes—
682C2×C4×C37C2×#4112yes—
683C2×C4×C37H(5,𝔽2)12yes—
684C2×C4×C37H(5,𝔽2)12yes—
685#36888C3711yesmaximal, characteristic, direct product factor, Sylow
686C22×C37—22no—
687C22×C37—22no—
688C22×C37—22no—
689C22×C37—22no—
690C22×C37—22no—
691C22×C37—22no—
692C22×C37—22no—
693C22×C37—22no—
694C22×C37—22no—
695C22×C37—416no—
696C22×C37—41no—
697C22×C37—41no—
698C22×C37—41no—
699C22×C37—41no—
700C22×C37—41no—
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×C37C22×#4111yescharacteristic
723C22×C37C2×H(5,𝔽2)11yescharacteristic
724C22×C37C2×H(5,𝔽2)11yescharacteristic
725C22×C37C2×H(5,𝔽2)11yescharacteristic
726C22×C37C2×2−1+411yescharacteristic
727C22×C37#58511yescharacteristic
728C22×C37#58511yescharacteristic
729C4×C37—22no—
730C4×C37—22no—
731C4×C37—22no—
732C4×C37—22no—
733C4×C37—41no—
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—
755#2849C2×C3711yescharacteristic, complemented
756#2848C2×C3711yescharacteristic, complemented
757#2796C2×C3711yescharacteristic, complemented
758#2790C2×C3711yescharacteristic, complemented
759#2779C2×C3711yescharacteristic, complemented
760#2753C2×C3711yescharacteristic, complemented
761#2748C2×C3711yescharacteristic, complemented
762#2740C2×C3711yescharacteristic, complemented
763#2735C2×C3711yescharacteristic, complemented
764#2730C2×C3711yescharacteristic, complemented
765#2720C2×C3711yescharacteristic, complemented
766#2707C2×C3711yescharacteristic, complemented
767#2698C2×C3711yescharacteristic, complemented
768#2695C2×C3711yescharacteristic, complemented
769#2685C2×C3711yescharacteristic, complemented
770#2685C2×C3711yescharacteristic, complemented
771#2678C2×C3711yescharacteristic
772#2672C2×C3711yescharacteristic, complemented
773#2633C2×C3711yescharacteristic, complemented
774#2630C2×C3711yescharacteristic, complemented
775#2578C2×C3711yescharacteristic, complemented
776#2573C2×C3711yescharacteristic, complemented
777#2558C2×C3711yescharacteristic, complemented
778#2556C2×C3711yescharacteristic, complemented
779#2468C2×C3711yescharacteristic, complemented
780#2461C2×C3711yescharacteristic, complemented
781#2454C2×C3711yescharacteristic, complemented
782#2422C2×C3711yescharacteristic, complemented
783#2335C2×C3711yescharacteristic, complemented
784#2334C2×C3711yescharacteristic, complemented
785C4×#120C2×C3711yescharacteristic, complemented
786C2×C37—42no—
787C2×C37—42no—
788C2×C37—42no—
789C2×C37—81no—
790C2×C37—81no—
791C2×C37#346011yescharacteristic
792C2×C37#351311yescharacteristic
793C2×C37#352011yescharacteristic
794C2×C37#353211yescharacteristic
795C2×C37#353511yescharacteristic
796C2×C37#353911yescharacteristic
797C2×C37#354111yescharacteristic
798C24×C4C22×C3711yescharacteristic
799C2×#126C22×C3711yescharacteristic
800C2×#126C22×C3711yescharacteristic
801C2×#125C22×C3711yescharacteristic, complemented
802C2×#125C22×C3711yescharacteristic, complemented
803C2×#124C22×C3711yescharacteristic, complemented
804C2×#123C22×C3711yescharacteristic
805C2×#123C22×C3711yescharacteristic
806C2×#123C22×C3711yescharacteristic
807C2×#123C22×C3711yescharacteristic, complemented
808C2×C22⋊Q8C22×C3711yescharacteristic
809C2×C22⋊Q8C22×C3711yescharacteristic
810C2×C22⋊Q8C22×C3711yescharacteristic
811C2×#121C22×C3711yescharacteristic
812C2×#120C22×C3711yescharacteristic
813C2×#120C22×C3711yescharacteristic
814C2×C4×D4C22×C3711yescharacteristic
815C2×C4×D4C22×C3711yescharacteristic
816C2×C4×D4C22×C3711yescharacteristic
817#400C22×C3711yescharacteristic, complemented
818#400C22×C3711yescharacteristic, complemented
819#400C22×C3711yescharacteristic, complemented
820#400C22×C3711yescharacteristic, complemented
821#399C22×C3711yescharacteristic
822#399C22×C3711yescharacteristic
823#399C22×C3711yescharacteristic
824#399C22×C3711yescharacteristic, complemented
825#399C22×C3711yescharacteristic, complemented
826#398C22×C3711yescharacteristic, complemented
827#398C22×C3711yescharacteristic, complemented
828#398C22×C3711yescharacteristic, complemented
829#398C22×C3711yescharacteristic, complemented
830#398C22×C3711yescharacteristic, complemented
831#398C22×C3711yescharacteristic, complemented
832#397C22×C3711yescharacteristic
833#397C22×C3711yescharacteristic
834#397C22×C3711yescharacteristic
835#397C22×C3711yescharacteristic
836#397C22×C3711yescharacteristic, complemented
837#397C22×C3711yescharacteristic, complemented
838#397C22×C3711yescharacteristic, complemented
839#397C22×C3711yescharacteristic, complemented
840#396C22×C3711yescharacteristic
841#396C22×C3711yescharacteristic
842#396C22×C3711yescharacteristic
843#396C22×C3711yescharacteristic
844#396C22×C3711yescharacteristic
845#396C22×C3711yescharacteristic, complemented
846#396C22×C3711yescharacteristic, complemented
847#396C22×C3711yescharacteristic, complemented
848#396C22×C3711yescharacteristic, complemented
849#395C22×C3711yescharacteristic, complemented
850#395C22×C3711yescharacteristic, complemented
851#394C22×C3711yescharacteristic
852#394C22×C3711yescharacteristic
853#394C22×C3711yescharacteristic
854#394C22×C3711yescharacteristic
855#394C22×C3711yescharacteristic
856#394C22×C3711yescharacteristic
857#394C22×C3711yescharacteristic
858#394C22×C3711yescharacteristic
859#394C22×C3711yescharacteristic
860#394C22×C3711yescharacteristic
861#394C22×C3711yescharacteristic, complemented
862#394C22×C3711yescharacteristic, complemented
863#392C22×C3711yescharacteristic
864#392C22×C3711yescharacteristic
865#391C22×C3711yescharacteristic, complemented
866#390C22×C3711yescharacteristic
867#390C22×C3711yescharacteristic
868#390C22×C3711yescharacteristic
869#390C22×C3711yescharacteristic
870#390C22×C3711yescharacteristic
871#390C22×C3711yescharacteristic
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#388C22×C3711yescharacteristic
879#388C22×C3711yescharacteristic
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#388C22×C3711yescharacteristic, complemented
895#388C22×C3711yescharacteristic, complemented
896#388C22×C3711yescharacteristic, complemented
897#388C22×C3711yescharacteristic, complemented
898#387C22×C3711yescharacteristic, complemented
899#387C22×C3711yescharacteristic, complemented
900#387C22×C3711yescharacteristic, complemented
901#387C22×C3711yescharacteristic, complemented
902#387C22×C3711yescharacteristic, complemented
903#387C22×C3711yescharacteristic, complemented
904#387C22×C3711yescharacteristic, complemented
905#387C22×C3711yescharacteristic, complemented
906#387C22×C3711yescharacteristic, complemented
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#385C22×C3711yescharacteristic
916#385C22×C3711yescharacteristic
917#385C22×C3711yescharacteristic
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, complemented
929#385C22×C3711yescharacteristic, complemented
930#385C22×C3711yescharacteristic, complemented
931#384C22×C3711yescharacteristic, complemented
932#383C22×C3711yescharacteristic, complemented
933#382C22×C3711yescharacteristic, complemented
934#381C22×C3711yescharacteristic
935#381C22×C3711yescharacteristic
936#380C22×C3711yescharacteristic
937#380C22×C3711yescharacteristic
938#380C22×C3711yescharacteristic
939#380C22×C3711yescharacteristic, complemented
940#380C22×C3711yescharacteristic, complemented
941#380C22×C3711yescharacteristic, complemented
942#379C22×C3711yescharacteristic
943#379C22×C3711yescharacteristic
944#379C22×C3711yescharacteristic
945#379C22×C3711yescharacteristic
946C4×C4⋊C4C22×C3711yescharacteristic, complemented
947C4×C4⋊C4C22×C3711yescharacteristic, complemented
948C4×C4⋊C4C22×C3711yescharacteristic, complemented
949C4×C22⋊C4C22×C3711yescharacteristic
950C4×C22⋊C4C22×C3711yescharacteristic
951C4×C22⋊C4C22×C3711yescharacteristic
952C4×C22⋊C4C22×C3711yescharacteristic, complemented
953C37#3688811yescharacteristic, direct product factor, Sylow
954C25C23×C3711yescharacteristic
955C22×Q8C23×C3711yescharacteristic
956C22×D4C23×C3711yescharacteristic
957C22×D4C23×C3711yescharacteristic
958C22×D4C23×C3711yescharacteristic
959C22×D4C23×C3711yescharacteristic
960C22×D4C23×C3711yescharacteristic
961C22×D4C23×C3711yescharacteristic
962C22×D4C23×C3711yescharacteristic
963C23×C4—42no—
964C23×C4—42no—
965C23×C4—42no—
966C23×C4C23×C3711yescharacteristic
967C23×C4C23×C3711yescharacteristic
968C23×C4C23×C3711yescharacteristic
969C23×C4C23×C3711yescharacteristic
970C23×C4C23×C3711yescharacteristic
971C23×C4C23×C3711yescharacteristic
972C23×C4C23×C3711yescharacteristic
973C23×C4C23×C3711yescharacteristic
974#126—24no—
975#126—42no—
976#125—42no—
977#125—42no—
978#124—42no—
979#123—24no—
980#123—42no—
981#123—42no—
982#123—42no—
983C22⋊Q8—42no—
984C22⋊Q8—42no—
985C22⋊Q8—42no—
986#121—42no—
987#120—24no—
988#120—42no—
989C4×D4—42no—
990C4×D4—42no—
991C4×D4—42no—
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×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×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×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
1088C2×C42C23×C3711yescharacteristic
1089C2×C42C23×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
1130C24—22no—
1131C24—22no—
1132C24—22no—
1133C24—41no—
1134C24—41no—
1135C24—41no—
1136C24—41no—
1137C24C24×C3711yescharacteristic
1138C24C24×C3711yescharacteristic
1139C24C24×C3711yescharacteristic
1140C24C24×C3711yescharacteristic
1141C24C24×C3711yescharacteristic
1142C2×Q8—22no—
1143C2×Q8—41no—
1144C2×Q8—41no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—41no—
1154C2×D4—41no—
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—
1166C22×C4—22no—
1167C22×C4—22no—
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—41no—
1177C22×C4—41no—
1178C22×C4—41no—
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—416no—
1191C22×C4C24×C3711yescharacteristic
1192C22×C4C24×C3711yescharacteristic
1193C22×C4C24×C3711yescharacteristic
1194C22×C4C24×C3711yescharacteristic
1195C22×C4C24×C3711yescharacteristic
1196C22×C4C24×C3711yescharacteristic
1197C22×C4C24×C3711yescharacteristic
1198C22×C4C24×C3711yescharacteristic
1199C22×C4C24×C3711yescharacteristic
1200C22×C4C24×C3711yescharacteristic
1201C22×C4C24×C3711yescharacteristic
1202C22×C4C24×C3711yescharacteristic
1203C22×C4C24×C3711yescharacteristic
1204C22×C4C24×C3711yescharacteristic
1205C22×C4C24×C3711yescharacteristic
1206C22×C4C24×C3711yescharacteristic
1207C22×C4C24×C3711yescharacteristic
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
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
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—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
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#41×C3714yes—
1305C42—22no—
1306C42—22no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C23—21no—
1316C23—21no—
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—44no—
1348C23—44no—
1349C23—44no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23C2×#41×C3712yes—
1355C23H(5,𝔽2)×C3712yes—
1356C232−1+4×C3712yes—
1357C23C25×C3711yescharacteristic
1358Q8—82no—
1359D4—44no—
1360D4—44no—
1361D4—44no—
1362D4—82no—
1363D4—82no—
1364D4—82no—
1365D4—82no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—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—44no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—82no—
1447C2×C4—82no—
1448C2×C4C2×#41×C3712yes—
1449C2×C4C2×#41×C3712yes—
1450C2×C4H(5,𝔽2)×C3712yes—
1451C2×C4H(5,𝔽2)×C3712yes—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—416no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
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—
1488C22C22×#41×C3711yescharacteristic
1489C22C2×H(5,𝔽2)×C3711yescharacteristic
1490C22C2×H(5,𝔽2)×C3711yescharacteristic
1491C22C2×H(5,𝔽2)×C3711yescharacteristic
1492C22C2×2−1+4×C3711yescharacteristic
1493C22C37×#58511yescharacteristic
1494C22C37×#58511yescharacteristic
1495C4—22no—
1496C4—22no—
1497C4—22no—
1498C4—22no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
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—
1521C2—42no—
1522C2—42no—
1523C2—42no—
1524C2—81no—
1525C2—81no—
1526C2C37×#346011yescharacteristic
1527C2C37×#351311yescharacteristic
1528C2C37×#352011yescharacteristic
1529C2C37×#353211yescharacteristic
1530C2C37×#353511yescharacteristic
1531C2C37×#353911yescharacteristic
1532C2C37×#354111yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutator, Frattini, cosocleC23C25×C37
prime radicalC37×#2678C2
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×#2796C2semidirect
4. C37×#2790C2semidirect
5. C37×#2779C2semidirect
6. C37×#2753C2semidirect
7. C37×#2748C2semidirect
8. C37×#2740C2semidirect
9. C37×#2735C2semidirect
10. C37×#2730C2semidirect
11. C37×#2720C2semidirect
12. C37×#2707C2semidirect
13. C37×#2698C2semidirect
14. C37×#2695C2semidirect
15. C37×#2685C2semidirect
16. C37×#2685C2semidirect
18. C37×#2672C2semidirect
19. C37×#2633C2semidirect
20. C37×#2630C2semidirect
21. C37×#2578C2semidirect
22. C37×#2573C2semidirect
23. C37×#2558C2semidirect
24. C37×#2556C2semidirect
25. C37×#2468C2semidirect
26. C37×#2461C2semidirect
27. C37×#2454C2semidirect
28. C37×#2422C2semidirect
29. C37×#2335C2semidirect
30. C37×#2334C2semidirect
31. C4×#120×C37C2semidirect
35. C2×#125×C37C22semidirect
36. C2×#125×C37C22semidirect
37. C2×#124×C37C22semidirect
41. C2×#123×C37C22semidirect
51. C37×#400C22semidirect
52. C37×#400C22semidirect
53. C37×#400C22semidirect
54. C37×#400C22semidirect
58. C37×#399C22semidirect
59. C37×#399C22semidirect
60. C37×#398C22semidirect
61. C37×#398C22semidirect
62. C37×#398C22semidirect
63. C37×#398C22semidirect
64. C37×#398C22semidirect
65. C37×#398C22semidirect
70. C37×#397C22semidirect
71. C37×#397C22semidirect
72. C37×#397C22semidirect
73. C37×#397C22semidirect
79. C37×#396C22semidirect
80. C37×#396C22semidirect
81. C37×#396C22semidirect
82. C37×#396C22semidirect
83. C37×#395C22semidirect
84. C37×#395C22semidirect
95. C37×#394C22semidirect
96. C37×#394C22semidirect
99. C37×#391C22semidirect
106. C37×#389C22semidirect
107. C37×#389C22semidirect
108. C37×#389C22semidirect
109. C37×#389C22semidirect
110. C37×#389C22semidirect
111. C37×#389C22semidirect
125. C37×#388C22semidirect
126. C37×#388C22semidirect
127. C37×#388C22semidirect
128. C37×#388C22semidirect
129. C37×#388C22semidirect
130. C37×#388C22semidirect
131. C37×#388C22semidirect
132. C37×#387C22semidirect
133. C37×#387C22semidirect
134. C37×#387C22semidirect
135. C37×#387C22semidirect
136. C37×#387C22semidirect
137. C37×#387C22semidirect
138. C37×#387C22semidirect
139. C37×#387C22semidirect
140. C37×#387C22semidirect
162. C37×#385C22semidirect
163. C37×#385C22semidirect
164. C37×#385C22semidirect
165. C37×#384C22semidirect
166. C37×#383C22semidirect
167. C37×#382C22semidirect
173. C37×#380C22semidirect
174. C37×#380C22semidirect
175. C37×#380C22semidirect
180. C4×C4⋊C4×C37C22semidirect
181. C4×C4⋊C4×C37C22semidirect
182. C4×C4⋊C4×C37C22semidirect
186. C4×C22⋊C4×C37C22semidirect
685. #36888C37direct (N × H)
755. #2849C2×C37semidirect
756. #2848C2×C37semidirect
757. #2796C2×C37semidirect
758. #2790C2×C37semidirect
759. #2779C2×C37semidirect
760. #2753C2×C37semidirect
761. #2748C2×C37semidirect
762. #2740C2×C37semidirect
763. #2735C2×C37semidirect
764. #2730C2×C37semidirect
765. #2720C2×C37semidirect
766. #2707C2×C37semidirect
767. #2698C2×C37semidirect
768. #2695C2×C37semidirect
769. #2685C2×C37semidirect
770. #2685C2×C37semidirect
772. #2672C2×C37semidirect
773. #2633C2×C37semidirect
774. #2630C2×C37semidirect
775. #2578C2×C37semidirect
776. #2573C2×C37semidirect
777. #2558C2×C37semidirect
778. #2556C2×C37semidirect
779. #2468C2×C37semidirect
780. #2461C2×C37semidirect
781. #2454C2×C37semidirect
782. #2422C2×C37semidirect
783. #2335C2×C37semidirect
784. #2334C2×C37semidirect
785. C4×#120C2×C37semidirect
801. C2×#125C22×C37semidirect
802. C2×#125C22×C37semidirect
803. C2×#124C22×C37semidirect
807. C2×#123C22×C37semidirect
817. #400C22×C37semidirect
818. #400C22×C37semidirect
819. #400C22×C37semidirect
820. #400C22×C37semidirect
824. #399C22×C37semidirect
825. #399C22×C37semidirect
826. #398C22×C37semidirect
827. #398C22×C37semidirect
828. #398C22×C37semidirect
829. #398C22×C37semidirect
830. #398C22×C37semidirect
831. #398C22×C37semidirect
836. #397C22×C37semidirect
837. #397C22×C37semidirect
838. #397C22×C37semidirect
839. #397C22×C37semidirect
845. #396C22×C37semidirect
846. #396C22×C37semidirect
847. #396C22×C37semidirect
848. #396C22×C37semidirect
849. #395C22×C37semidirect
850. #395C22×C37semidirect
861. #394C22×C37semidirect
862. #394C22×C37semidirect
865. #391C22×C37semidirect
872. #389C22×C37semidirect
873. #389C22×C37semidirect
874. #389C22×C37semidirect
875. #389C22×C37semidirect
876. #389C22×C37semidirect
877. #389C22×C37semidirect
891. #388C22×C37semidirect
892. #388C22×C37semidirect
893. #388C22×C37semidirect
894. #388C22×C37semidirect
895. #388C22×C37semidirect
896. #388C22×C37semidirect
897. #388C22×C37semidirect
898. #387C22×C37semidirect
899. #387C22×C37semidirect
900. #387C22×C37semidirect
901. #387C22×C37semidirect
902. #387C22×C37semidirect
903. #387C22×C37semidirect
904. #387C22×C37semidirect
905. #387C22×C37semidirect
906. #387C22×C37semidirect
928. #385C22×C37semidirect
929. #385C22×C37semidirect
930. #385C22×C37semidirect
931. #384C22×C37semidirect
932. #383C22×C37semidirect
933. #382C22×C37semidirect
939. #380C22×C37semidirect
940. #380C22×C37semidirect
941. #380C22×C37semidirect
946. C4×C4⋊C4C22×C37semidirect
947. C4×C4⋊C4C22×C37semidirect
948. C4×C4⋊C4C22×C37semidirect
952. C4×C22⋊C4C22×C37semidirect
953. C37#36888direct (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×#27962
C37×#27902
C37×#27792
C37×#27532
C37×#27482
C37×#27402
C37×#27352
C37×#27302
C37×#27202
C37×#27072
C37×#26982
C37×#26952
C37×#26852
C37×#26782
C37×#26722
C37×#26332
C37×#26302
C37×#25782
C37×#25732
C37×#25582
C37×#25562
C37×#24682
C37×#24612
C37×#24542
C37×#24222
C37×#23352
C37×#23342
C4×#120×C372
#3688837