Finite Group Databasebeta

← C37×#34442 #22655695

Subgroups — C37×#34442 #22655695

Order 9472.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C37×#540C211yesmaximal, characteristic
2C37×#2380C211yesmaximal, characteristic, complemented
3C37×#2377C211yesmaximal, characteristic, complemented
4C37×#2377C211yesmaximal, characteristic, complemented
5C37×#2376C211yesmaximal, characteristic, complemented
6C37×#2374C211yesmaximal, characteristic, complemented
7C37×#2366C211yesmaximal, characteristic, complemented
8C37×#2364C211yesmaximal, characteristic, complemented
9C37×#2364C211yesmaximal, characteristic, complemented
10C37×#2363C211yesmaximal, characteristic, complemented
11C37×#2361C211yesmaximal, characteristic, complemented
12C37×#2359C211yesmaximal, characteristic, complemented
13C37×#2359C211yesmaximal, characteristic, complemented
14C37×#2353C211yesmaximal, characteristic, complemented
15C37×#2352C211yesmaximal, characteristic, complemented
16C37×#2347C211yesmaximal, characteristic, complemented
17C37×#2343C211yesmaximal, characteristic, complemented
18C37×#2336C211yesmaximal, characteristic, complemented
19C37×#2336C211yesmaximal, characteristic, complemented
20C37×#2335C211yesmaximal, characteristic, complemented
21C37×#2335C211yesmaximal, characteristic, complemented
22C37×#2333C211yesmaximal, characteristic, complemented
23C37×#2333C211yesmaximal, characteristic, complemented
24C37×#2325C211yesmaximal, characteristic, complemented
25C37×#2325C211yesmaximal, characteristic, complemented
26C37×#2324C211yesmaximal, characteristic, complemented
27C37×#2322C211yesmaximal, characteristic, complemented
28C37×#2318C211yesmaximal, characteristic, complemented
29C4×#123×C37C211yesmaximal, characteristic, complemented
30C4×#121×C37C211yesmaximal, characteristic, complemented
31C37×#2290C211yesmaximal, characteristic, complemented
32C37×#540C4116yescomplemented
33C2×#127×C37C2211yescharacteristic
34C2×#125×C37C2211yescharacteristic
35C2×#123×C37C2211yescharacteristic
36C2×#123×C37C2211yescharacteristic
37C2×#123×C37C2211yescharacteristic
38C2×#123×C37C2211yescharacteristic
39C2×#121×C37C2211yescharacteristic
40C2×#121×C37C2211yescharacteristic
41C2×#121×C37C2211yescharacteristic
42C2×#121×C37C2211yescharacteristic
43C2×#121×C37C2211yescharacteristic
44C2×#121×C37C2211yescharacteristic
45C2×C4×D4×C37C2211yescharacteristic
46C2×C4×D4×C37C2211yescharacteristic
47C2×C4×D4×C37C2211yescharacteristic
48C2×C4×D4×C37C2211yescharacteristic
49C2×C4×D4×C37C2211yescharacteristic
50C2×C4×D4×C37C2211yescharacteristic
51C2×C4×D4×C37C2211yescharacteristic
52C2×C4×D4×C37C2211yescharacteristic
53C2×C4×D4×C37C2211yescharacteristic
54C2×C4×D4×C37C2211yescharacteristic
55C2×#117×C37C2211yescharacteristic
56C2×#117×C37C2211yescharacteristic
57C2×#117×C37C2211yescharacteristic
58C22×C4⋊C4×C37C2211yescharacteristic
59C22×C42×C37C2211yescharacteristic
60C37×#390C2211yescharacteristic
61C37×#390C2211yescharacteristic
62C37×#390C2211yescharacteristic
63C37×#390C2211yescharacteristic
64C37×#390C2211yescharacteristic
65C37×#390C2211yescharacteristic
66C37×#390C2211yescharacteristic
67C37×#390C2211yescharacteristic
68C37×#389C2211yescharacteristic
69C37×#389C2211yescharacteristic
70C37×#389C2211yescharacteristic
71C37×#389C2211yescharacteristic
72C37×#389C2211yescharacteristic
73C37×#389C2211yescharacteristic
74C37×#388C2211yescharacteristic
75C37×#388C2211yescharacteristic
76C37×#388C2211yescharacteristic
77C37×#388C2211yescharacteristic
78C37×#388C2211yescharacteristic
79C37×#388C2211yescharacteristic
80C37×#388C2211yescharacteristic
81C37×#388C2211yescharacteristic
82C37×#388C2211yescharacteristic
83C37×#388C2211yescharacteristic
84C37×#388C2211yescharacteristic
85C37×#388C2211yescharacteristic
86C37×#388C2211yescharacteristic
87C37×#388C2211yescharacteristic
88C37×#388C2211yescharacteristic
89C37×#388C2211yescharacteristic
90C37×#388C2211yescharacteristic
91C37×#388C2211yescharacteristic
92C37×#388C2211yescharacteristic
93C37×#388C2211yescharacteristic
94C37×#387C2211yescharacteristic
95C37×#387C2211yescharacteristic
96C37×#387C2211yescharacteristic
97C37×#387C2211yescharacteristic
98C37×#387C2211yescharacteristic
99C37×#387C2211yescharacteristic
100C37×#387C2211yescharacteristic
101C37×#387C2211yescharacteristic
102C37×#387C2211yescharacteristic
103C37×#387C2211yescharacteristic
104C37×#387C2211yescharacteristic
105C37×#387C2211yescharacteristic
106C37×#387C2211yescharacteristic
107C37×#387C2211yescharacteristic
108C37×#387C2211yescharacteristic
109C37×#387C2211yescharacteristic
110C37×#387C2211yescharacteristic
111C37×#387C2211yescharacteristic
112C37×#387C2211yescharacteristic
113C37×#387C2211yescharacteristic
114C37×#386C2211yescharacteristic
115C37×#386C2211yescharacteristic
116C37×#386C2211yescharacteristic
117C37×#386C2211yescharacteristic
118C37×#386C2211yescharacteristic
119C37×#386C2211yescharacteristic
120C37×#386C2211yescharacteristic
121C37×#386C2211yescharacteristic
122C37×#386C2211yescharacteristic
123C37×#386C2211yescharacteristic
124C37×#386C2211yescharacteristic
125C37×#386C2211yescharacteristic
126C37×#386C2211yescharacteristic
127C37×#386C2211yescharacteristic
128C37×#386C2211yescharacteristic
129C37×#386C2211yescharacteristic
130C37×#386C2211yescharacteristic
131C37×#386C2211yescharacteristic
132C37×#386C2211yescharacteristic
133C37×#386C2211yescharacteristic
134C37×#386C2211yescharacteristic
135C37×#386C2211yescharacteristic
136C37×#386C2211yescharacteristic
137C37×#386C2211yescharacteristic
138C37×#385C2211yescharacteristic
139C37×#385C2211yescharacteristic
140C37×#385C2211yescharacteristic
141C37×#385C2211yescharacteristic
142C37×#385C2211yescharacteristic
143C37×#385C2211yescharacteristic
144C37×#385C2211yescharacteristic
145C37×#385C2211yescharacteristic
146C37×#385C2211yescharacteristic
147C37×#385C2211yescharacteristic
148C37×#383C2211yescharacteristic
149C37×#383C2211yescharacteristic
150C37×#383C2211yescharacteristic
151C37×#382C2211yescharacteristic
152C37×#381C2211yescharacteristic
153C37×#381C2211yescharacteristic
154C37×#381C2211yescharacteristic
155C37×#380C2211yescharacteristic
156C37×#380C2211yescharacteristic
157C37×#380C2211yescharacteristic
158C37×#380C2211yescharacteristic
159C37×#380C2211yescharacteristic
160C4×C4⋊C4×C37C2211yescharacteristic
161C4×C4⋊C4×C37C2211yescharacteristic
162C4×C4⋊C4×C37C2211yescharacteristic
163C4×C4⋊C4×C37C2211yescharacteristic
164C4×C4⋊C4×C37C2211yescharacteristic
165C4×C4⋊C4×C37C2211yescharacteristic
166C4×C4⋊C4×C37C2211yescharacteristic
167C4×C4⋊C4×C37C2211yescharacteristic
168C4×C4⋊C4×C37C2211yescharacteristic
169C4×C22⋊C4×C37C2211yescharacteristic
170C4×C22⋊C4×C37C2211yescharacteristic
171C4×C22⋊C4×C37C2211yescharacteristic
172C4×C22⋊C4×C37C2211yescharacteristic
173C4×C22⋊C4×C37C2211yescharacteristic
174C4×C22⋊C4×C37C2211yescharacteristic
175C4×C22⋊C4×C37C2211yescharacteristic
176C4×C22⋊C4×C37C2211yescharacteristic
177C4×C22⋊C4×C37C2211yescharacteristic
178C4×C22⋊C4×C37C2211yescharacteristic
179C4×C22⋊C4×C37C2211yescharacteristic
180C4×C22⋊C4×C37C2211yescharacteristic
181C4×C22⋊C4×C37C2211yescharacteristic
182C4×C22⋊C4×C37C2211yescharacteristic
183C4×C22⋊C4×C37C2211yescharacteristic
184C37×#376C2211yescharacteristic
185C2×#95×C37C2211yescharacteristic
186C2×#95×C37C2211yescharacteristic
187C2×#95×C37C2211yescharacteristic
188C22×D4×C37C2311yescharacteristic
189C22×D4×C37C2311yescharacteristic
190C22×D4×C37C2311yescharacteristic
191C22×D4×C37C2311yescharacteristic
192C22×D4×C37C2311yescharacteristic
193C22×D4×C37C2311yescharacteristic
194C22×D4×C37C2311yescharacteristic
195C22×D4×C37C2311yescharacteristic
196C22×D4×C37C2311yescharacteristic
197C22×D4×C37C2311yescharacteristic
198C23×C4×C37C2311yescharacteristic
199C23×C4×C37C2311yescharacteristic
200C23×C4×C37C2311yescharacteristic
201C23×C4×C37C2311yescharacteristic
202C23×C4×C37C2311yescharacteristic
203C23×C4×C37C2311yescharacteristic
204C23×C4×C37C2311yescharacteristic
205C23×C4×C37C2311yescharacteristic
206C23×C4×C37C2311yescharacteristic
207C23×C4×C37C2311yescharacteristic
208C23×C4×C37C2311yescharacteristic
209C23×C4×C37C2311yescharacteristic
210C23×C4×C37C2311yescharacteristic
211C23×C4×C37C2311yescharacteristic
212C23×C4×C37C2311yescharacteristic
213#127×C37C2×C418yescomplemented
214#125×C37C2×C418yescomplemented
215#123×C37C2×C418yescomplemented
216#123×C37C2×C418yescomplemented
217#123×C37C2×C418yescomplemented
218#123×C37C2×C418yescomplemented
219#121×C37C2×C418yescomplemented
220#121×C37C2×C418yescomplemented
221#121×C37C2×C418yescomplemented
222#121×C37C2×C418yescomplemented
223#121×C37C2×C418yescomplemented
224#121×C37C2×C418yescomplemented
225C4×D4×C37—42no—
226C4×D4×C37—42no—
227C4×D4×C37—42no—
228C4×D4×C37—42no—
229C4×D4×C37—42no—
230C4×D4×C37—42no—
231C4×D4×C37—42no—
232C4×D4×C37—42no—
233C4×D4×C37C2×C418yescomplemented
234C4×D4×C37C2×C418yescomplemented
235#117×C37—42no—
236#117×C37—42no—
237#117×C37C2×C418yescomplemented
238C2×C4⋊C4×C37—42no—
239C2×C4⋊C4×C37C2311yescharacteristic
240C2×C4⋊C4×C37C2311yescharacteristic
241C2×C4⋊C4×C37C2311yescharacteristic
242C2×C4⋊C4×C37C2311yescharacteristic
243C2×C4⋊C4×C37C2311yescharacteristic
244C2×C4⋊C4×C37C2311yescharacteristic
245C2×C4⋊C4×C37C2311yescharacteristic
246C2×C4⋊C4×C37C2311yescharacteristic
247C2×C4⋊C4×C37C2311yescharacteristic
248C2×C4⋊C4×C37C2311yescharacteristic
249C2×C4⋊C4×C37C2311yescharacteristic
250C2×C4⋊C4×C37C2311yescharacteristic
251C2×C4⋊C4×C37C2311yescharacteristic
252C2×C4⋊C4×C37C2311yescharacteristic
253C2×C4⋊C4×C37C2311yescharacteristic
254C2×C4⋊C4×C37C2311yescharacteristic
255C2×C4⋊C4×C37C2311yescharacteristic
256C2×C4⋊C4×C37C2311yescharacteristic
257C2×C4⋊C4×C37C2311yescharacteristic
258C2×C4⋊C4×C37C2311yescharacteristic
259C2×C4⋊C4×C37C2311yescharacteristic
260C2×C4⋊C4×C37C2311yescharacteristic
261C2×C4⋊C4×C37C2311yescharacteristic
262C2×C4⋊C4×C37C2311yescharacteristic
263C2×C4⋊C4×C37C2311yescharacteristic
264C2×C4⋊C4×C37C2311yescharacteristic
265C2×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×C42×C37—42no—
306C2×C42×C37C2311yescharacteristic
307C2×C42×C37C2311yescharacteristic
308C2×C42×C37C2311yescharacteristic
309C2×C42×C37C2311yescharacteristic
310C2×C42×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
319C2×C42×C37C2311yescharacteristic
320C2×C42×C37C2311yescharacteristic
321C2×C42×C37C2311yescharacteristic
322C2×C42×C37C2311yescharacteristic
323C2×C42×C37C2311yescharacteristic
324C2×C42×C37C2311yescharacteristic
325C2×C42×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
363#95×C37C2311yescharacteristic
364#95×C37C2311yescharacteristic
365#95×C37C2311yescharacteristic
366#95×C37C2311yescharacteristic
367#95×C37C2311yescharacteristic
368#95×C37C2311yescharacteristic
369#95×C37C2311yescharacteristic
370C24×C37C2411yescharacteristic
371C24×C37C2411yescharacteristic
372C24×C37C2411yescharacteristic
373C24×C37C2411yescharacteristic
374C24×C37C2411yescharacteristic
375C2×D4×C37—41no—
376C2×D4×C37—41no—
377C2×D4×C37—41no—
378C2×D4×C37—41no—
379C2×D4×C37—41no—
380C2×D4×C37—41no—
381C2×D4×C37—41no—
382C2×D4×C37—41no—
383C2×D4×C37—41no—
384C2×D4×C37—41no—
385C2×D4×C37—41no—
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×C37C22×C414yes—
396C2×D4×C37C22×C414yes—
397C2×D4×C37C22×C414yes—
398C2×D4×C37C22×C414yes—
399C2×D4×C37C22×C414yes—
400C2×D4×C37C22×C414yes—
401C2×D4×C37C22×C414yes—
402C2×D4×C37C22×C414yes—
403C2×D4×C37C22×C414yes—
404C2×D4×C37C22×C414yes—
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—41no—
430C22×C4×C37—41no—
431C22×C4×C37—41no—
432C22×C4×C37—41no—
433C22×C4×C37—41no—
434C22×C4×C37—41no—
435C22×C4×C37—41no—
436C22×C4×C37—41no—
437C22×C4×C37—41no—
438C22×C4×C37—41no—
439C22×C4×C37—41no—
440C22×C4×C37—41no—
441C22×C4×C37—41no—
442C22×C4×C37—41no—
443C22×C4×C37—41no—
444C22×C4×C37—41no—
445C22×C4×C37C22×C414yes—
446C22×C4×C37C22×C414yes—
447C22×C4×C37C22×C414yes—
448C22×C4×C37C22×C414yes—
449C22×C4×C37C22×C414yes—
450C22×C4×C37C2411yescharacteristic
451C22×C4×C37C2411yescharacteristic
452C22×C4×C37C2411yescharacteristic
453C22×C4×C37C2411yescharacteristic
454C22×C4×C37C2411yescharacteristic
455C22×C4×C37C2411yescharacteristic
456C22×C4×C37C2411yescharacteristic
457C22×C4×C37C2411yescharacteristic
458C22×C4×C37C2411yescharacteristic
459C22×C4×C37C2411yescharacteristic
460C22×C4×C37C2411yescharacteristic
461C22×C4×C37C2411yescharacteristic
462C22×C4×C37C2411yescharacteristic
463C22×C4×C37C2411yescharacteristic
464C22×C4×C37C2411yescharacteristic
465C22×C4×C37C2411yescharacteristic
466C22×C4×C37C2411yescharacteristic
467C22×C4×C37C2411yescharacteristic
468C22×C4×C37C2411yescharacteristic
469C22×C4×C37C2411yescharacteristic
470C22×C4×C37C2411yescharacteristic
471C22×C4×C37C2411yescharacteristic
472C22×C4×C37C2411yescharacteristic
473C22×C4×C37C2411yescharacteristic
474C22×C4×C37C2411yescharacteristic
475C22×C4×C37C2411yescharacteristic
476C4⋊C4×C37—22no—
477C4⋊C4×C37—22no—
478C4⋊C4×C37—22no—
479C4⋊C4×C37—22no—
480C4⋊C4×C37—22no—
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—
492C4⋊C4×C37—41no—
493C4⋊C4×C37—41no—
494C4⋊C4×C37C22×C414yes—
495C4⋊C4×C37C22×C414yes—
496C4⋊C4×C37C22×C414yes—
497C4⋊C4×C37C22×C414yes—
498C4⋊C4×C37C22×C414yes—
499C4⋊C4×C37C22×C414yes—
500C4⋊C4×C37C22×C414yes—
501C4⋊C4×C37C22×C414yes—
502C22⋊C4×C37—22no—
503C22⋊C4×C37—22no—
504C22⋊C4×C37—22no—
505C22⋊C4×C37—22no—
506C22⋊C4×C37—22no—
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×C37C22×C414yes—
533C22⋊C4×C37C22×C414yes—
534C22⋊C4×C37C22×C414yes—
535C22⋊C4×C37C22×C414yes—
536C22⋊C4×C37C22×C414yes—
537C22⋊C4×C37C22×C414yes—
538C22⋊C4×C37C22×C414yes—
539C22⋊C4×C37C22×C414yes—
540C22⋊C4×C37C22×C414yes—
541C22⋊C4×C37C22×C414yes—
542C42×C37—22no—
543C42×C37—22no—
544C42×C37—22no—
545C42×C37—41no—
546C42×C37—41no—
547C42×C37—41no—
548C42×C37—41no—
549C42×C37—41no—
550C42×C37—41no—
551C42×C37—41no—
552C42×C37—41no—
553C42×C37—41no—
554C42×C37—41no—
555C42×C37—41no—
556C42×C37—41no—
557C42×C37—41no—
558C42×C37—41no—
559C42×C37—41no—
560C42×C37C22×C414yes—
561C42×C37C22×C414yes—
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—21no—
581C23×C37—21no—
582C23×C37—21no—
583C23×C37—21no—
584C23×C37—21no—
585C23×C37—21no—
586C23×C37—21no—
587C23×C37—21no—
588C23×C37—21no—
589C23×C37—21no—
590C23×C37—21no—
591C23×C37—21no—
592C23×C37C23×C412yes—
593C23×C37C23×C412yes—
594C23×C37C23×C412yes—
595C23×C37C23×C412yes—
596C23×C37C23×C412yes—
597C23×C37C2511yescharacteristic
598D4×C37—44no—
599D4×C37—44no—
600D4×C37—44no—
601D4×C37—44no—
602D4×C37—44no—
603D4×C37—44no—
604D4×C37—44no—
605D4×C37—44no—
606D4×C37—44no—
607D4×C37—44no—
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—82no—
682C2×C4×C37—82no—
683C2×C4×C37—82no—
684C2×C4×C37—82no—
685C2×C4×C37—82no—
686C2×C4×C37—82no—
687C2×C4×C37—82no—
688C2×C4×C37—82no—
689C2×C4×C37C23×C412yes—
690C2×C4×C37C23×C412yes—
691C2×C4×C37C23×C412yes—
692C2×C4×C37C23×C412yes—
693C2×C4×C37C23×C412yes—
694C2×C4×C37C23×C412yes—
695C2×C4×C37C23×C412yes—
696C2×C4×C37C23×C412yes—
697C2×C4×C37C23×C412yes—
698C2×C4×C37C23×C412yes—
699C2×C4×C37H(5,𝔽2)12yes—
700C2×C4×C37H(5,𝔽2)12yes—
701#34442C3711yesmaximal, characteristic, direct product factor, Sylow
702C22×C37—22no—
703C22×C37—22no—
704C22×C37—22no—
705C22×C37—22no—
706C22×C37—22no—
707C22×C37—22no—
708C22×C37—22no—
709C22×C37—22no—
710C22×C37—22no—
711C22×C37—22no—
712C22×C37—22no—
713C22×C37—22no—
714C22×C37—22no—
715C22×C37—22no—
716C22×C37—22no—
717C22×C37—41no—
718C22×C37—41no—
719C22×C37—41no—
720C22×C37—41no—
721C22×C37—41no—
722C22×C37—41no—
723C22×C37—41no—
724C22×C37—41no—
725C22×C37—41no—
726C22×C37—41no—
727C22×C37—41no—
728C22×C37—41no—
729C22×C37—41no—
730C22×C37—41no—
731C22×C37—41no—
732C22×C37—41no—
733C22×C37—41no—
734C22×C37—41no—
735C22×C37—41no—
736C22×C37—41no—
737C22×C37C24×C411yescharacteristic
738C22×C37C2×H(5,𝔽2)11yescharacteristic
739C22×C37C2×H(5,𝔽2)11yescharacteristic
740C22×C37#58511yescharacteristic
741C22×C37#58511yescharacteristic
742C22×C37#58511yescharacteristic
743C22×C37#58511yescharacteristic
744C4×C37—22no—
745C4×C37—22no—
746C4×C37—22no—
747C4×C37—22no—
748C4×C37—22no—
749C4×C37—22no—
750C4×C37—22no—
751C4×C37—22no—
752C4×C37—22no—
753C4×C37—22no—
754C4×C37—22no—
755C4×C37—22no—
756C4×C37—41no—
757C4×C37—41no—
758C4×C37—41no—
759C4×C37—41no—
760C4×C37—41no—
761C4×C37—41no—
762C4×C37—41no—
763C4×C37—41no—
764C4×C37—41no—
765C4×C37—41no—
766C4×C37—41no—
767C4×C37—41no—
768C4×C37—41no—
769C4×C37—41no—
770C2×#540C2×C3711yescharacteristic
771#2380C2×C3711yescharacteristic, complemented
772#2377C2×C3711yescharacteristic, complemented
773#2377C2×C3711yescharacteristic, complemented
774#2376C2×C3711yescharacteristic, complemented
775#2374C2×C3711yescharacteristic, complemented
776#2366C2×C3711yescharacteristic, complemented
777#2364C2×C3711yescharacteristic, complemented
778#2364C2×C3711yescharacteristic, complemented
779#2363C2×C3711yescharacteristic, complemented
780#2361C2×C3711yescharacteristic, complemented
781#2359C2×C3711yescharacteristic, complemented
782#2359C2×C3711yescharacteristic, complemented
783#2353C2×C3711yescharacteristic, complemented
784#2352C2×C3711yescharacteristic, complemented
785#2347C2×C3711yescharacteristic, complemented
786#2343C2×C3711yescharacteristic, complemented
787#2336C2×C3711yescharacteristic, complemented
788#2336C2×C3711yescharacteristic, complemented
789#2335C2×C3711yescharacteristic, complemented
790#2335C2×C3711yescharacteristic, complemented
791#2333C2×C3711yescharacteristic, complemented
792#2333C2×C3711yescharacteristic, complemented
793#2325C2×C3711yescharacteristic, complemented
794#2325C2×C3711yescharacteristic, complemented
795#2324C2×C3711yescharacteristic, complemented
796#2322C2×C3711yescharacteristic, complemented
797#2318C2×C3711yescharacteristic, complemented
798C4×#123C2×C3711yescharacteristic, complemented
799C4×#121C2×C3711yescharacteristic, complemented
800#2290C2×C3711yescharacteristic, complemented
801C2×C37—42no—
802C2×C37—42no—
803C2×C37—42no—
804C2×C37—42no—
805C2×C37—42no—
806C2×C37#342811yescharacteristic
807C2×C37C4×H(5,𝔽2)11yescharacteristic
808C2×C37C4×H(5,𝔽2)11yescharacteristic
809C2×C37#353411yescharacteristic
810C2×C37#353911yescharacteristic
811C2×C37#356211yescharacteristic
812C2×C37#356611yescharacteristic
813#540C4×C37116yescomplemented
814C2×#127C22×C3711yescharacteristic
815C2×#125C22×C3711yescharacteristic
816C2×#123C22×C3711yescharacteristic
817C2×#123C22×C3711yescharacteristic
818C2×#123C22×C3711yescharacteristic
819C2×#123C22×C3711yescharacteristic
820C2×#121C22×C3711yescharacteristic
821C2×#121C22×C3711yescharacteristic
822C2×#121C22×C3711yescharacteristic
823C2×#121C22×C3711yescharacteristic
824C2×#121C22×C3711yescharacteristic
825C2×#121C22×C3711yescharacteristic
826C2×C4×D4C22×C3711yescharacteristic
827C2×C4×D4C22×C3711yescharacteristic
828C2×C4×D4C22×C3711yescharacteristic
829C2×C4×D4C22×C3711yescharacteristic
830C2×C4×D4C22×C3711yescharacteristic
831C2×C4×D4C22×C3711yescharacteristic
832C2×C4×D4C22×C3711yescharacteristic
833C2×C4×D4C22×C3711yescharacteristic
834C2×C4×D4C22×C3711yescharacteristic
835C2×C4×D4C22×C3711yescharacteristic
836C2×#117C22×C3711yescharacteristic
837C2×#117C22×C3711yescharacteristic
838C2×#117C22×C3711yescharacteristic
839C22×C4⋊C4C22×C3711yescharacteristic
840C22×C42C22×C3711yescharacteristic
841#390C22×C3711yescharacteristic
842#390C22×C3711yescharacteristic
843#390C22×C3711yescharacteristic
844#390C22×C3711yescharacteristic
845#390C22×C3711yescharacteristic
846#390C22×C3711yescharacteristic
847#390C22×C3711yescharacteristic
848#390C22×C3711yescharacteristic
849#389C22×C3711yescharacteristic
850#389C22×C3711yescharacteristic
851#389C22×C3711yescharacteristic
852#389C22×C3711yescharacteristic
853#389C22×C3711yescharacteristic
854#389C22×C3711yescharacteristic
855#388C22×C3711yescharacteristic
856#388C22×C3711yescharacteristic
857#388C22×C3711yescharacteristic
858#388C22×C3711yescharacteristic
859#388C22×C3711yescharacteristic
860#388C22×C3711yescharacteristic
861#388C22×C3711yescharacteristic
862#388C22×C3711yescharacteristic
863#388C22×C3711yescharacteristic
864#388C22×C3711yescharacteristic
865#388C22×C3711yescharacteristic
866#388C22×C3711yescharacteristic
867#388C22×C3711yescharacteristic
868#388C22×C3711yescharacteristic
869#388C22×C3711yescharacteristic
870#388C22×C3711yescharacteristic
871#388C22×C3711yescharacteristic
872#388C22×C3711yescharacteristic
873#388C22×C3711yescharacteristic
874#388C22×C3711yescharacteristic
875#387C22×C3711yescharacteristic
876#387C22×C3711yescharacteristic
877#387C22×C3711yescharacteristic
878#387C22×C3711yescharacteristic
879#387C22×C3711yescharacteristic
880#387C22×C3711yescharacteristic
881#387C22×C3711yescharacteristic
882#387C22×C3711yescharacteristic
883#387C22×C3711yescharacteristic
884#387C22×C3711yescharacteristic
885#387C22×C3711yescharacteristic
886#387C22×C3711yescharacteristic
887#387C22×C3711yescharacteristic
888#387C22×C3711yescharacteristic
889#387C22×C3711yescharacteristic
890#387C22×C3711yescharacteristic
891#387C22×C3711yescharacteristic
892#387C22×C3711yescharacteristic
893#387C22×C3711yescharacteristic
894#387C22×C3711yescharacteristic
895#386C22×C3711yescharacteristic
896#386C22×C3711yescharacteristic
897#386C22×C3711yescharacteristic
898#386C22×C3711yescharacteristic
899#386C22×C3711yescharacteristic
900#386C22×C3711yescharacteristic
901#386C22×C3711yescharacteristic
902#386C22×C3711yescharacteristic
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
917#386C22×C3711yescharacteristic
918#386C22×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#383C22×C3711yescharacteristic
930#383C22×C3711yescharacteristic
931#383C22×C3711yescharacteristic
932#382C22×C3711yescharacteristic
933#381C22×C3711yescharacteristic
934#381C22×C3711yescharacteristic
935#381C22×C3711yescharacteristic
936#380C22×C3711yescharacteristic
937#380C22×C3711yescharacteristic
938#380C22×C3711yescharacteristic
939#380C22×C3711yescharacteristic
940#380C22×C3711yescharacteristic
941C4×C4⋊C4C22×C3711yescharacteristic
942C4×C4⋊C4C22×C3711yescharacteristic
943C4×C4⋊C4C22×C3711yescharacteristic
944C4×C4⋊C4C22×C3711yescharacteristic
945C4×C4⋊C4C22×C3711yescharacteristic
946C4×C4⋊C4C22×C3711yescharacteristic
947C4×C4⋊C4C22×C3711yescharacteristic
948C4×C4⋊C4C22×C3711yescharacteristic
949C4×C4⋊C4C22×C3711yescharacteristic
950C4×C22⋊C4C22×C3711yescharacteristic
951C4×C22⋊C4C22×C3711yescharacteristic
952C4×C22⋊C4C22×C3711yescharacteristic
953C4×C22⋊C4C22×C3711yescharacteristic
954C4×C22⋊C4C22×C3711yescharacteristic
955C4×C22⋊C4C22×C3711yescharacteristic
956C4×C22⋊C4C22×C3711yescharacteristic
957C4×C22⋊C4C22×C3711yescharacteristic
958C4×C22⋊C4C22×C3711yescharacteristic
959C4×C22⋊C4C22×C3711yescharacteristic
960C4×C22⋊C4C22×C3711yescharacteristic
961C4×C22⋊C4C22×C3711yescharacteristic
962C4×C22⋊C4C22×C3711yescharacteristic
963C4×C22⋊C4C22×C3711yescharacteristic
964C4×C22⋊C4C22×C3711yescharacteristic
965#376C22×C3711yescharacteristic
966C2×#95C22×C3711yescharacteristic
967C2×#95C22×C3711yescharacteristic
968C2×#95C22×C3711yescharacteristic
969C37#3444211yescharacteristic, direct product factor, Sylow
970C22×D4C23×C3711yescharacteristic
971C22×D4C23×C3711yescharacteristic
972C22×D4C23×C3711yescharacteristic
973C22×D4C23×C3711yescharacteristic
974C22×D4C23×C3711yescharacteristic
975C22×D4C23×C3711yescharacteristic
976C22×D4C23×C3711yescharacteristic
977C22×D4C23×C3711yescharacteristic
978C22×D4C23×C3711yescharacteristic
979C22×D4C23×C3711yescharacteristic
980C23×C4C23×C3711yescharacteristic
981C23×C4C23×C3711yescharacteristic
982C23×C4C23×C3711yescharacteristic
983C23×C4C23×C3711yescharacteristic
984C23×C4C23×C3711yescharacteristic
985C23×C4C23×C3711yescharacteristic
986C23×C4C23×C3711yescharacteristic
987C23×C4C23×C3711yescharacteristic
988C23×C4C23×C3711yescharacteristic
989C23×C4C23×C3711yescharacteristic
990C23×C4C23×C3711yescharacteristic
991C23×C4C23×C3711yescharacteristic
992C23×C4C23×C3711yescharacteristic
993C23×C4C23×C3711yescharacteristic
994C23×C4C23×C3711yescharacteristic
995#127C2×C4×C3718yescomplemented
996#125C2×C4×C3718yescomplemented
997#123C2×C4×C3718yescomplemented
998#123C2×C4×C3718yescomplemented
999#123C2×C4×C3718yescomplemented
1000#123C2×C4×C3718yescomplemented
1001#121C2×C4×C3718yescomplemented
1002#121C2×C4×C3718yescomplemented
1003#121C2×C4×C3718yescomplemented
1004#121C2×C4×C3718yescomplemented
1005#121C2×C4×C3718yescomplemented
1006#121C2×C4×C3718yescomplemented
1007C4×D4—42no—
1008C4×D4—42no—
1009C4×D4—42no—
1010C4×D4—42no—
1011C4×D4—42no—
1012C4×D4—42no—
1013C4×D4—42no—
1014C4×D4—42no—
1015C4×D4C2×C4×C3718yescomplemented
1016C4×D4C2×C4×C3718yescomplemented
1017#117—42no—
1018#117—42no—
1019#117C2×C4×C3718yescomplemented
1020C2×C4⋊C4—42no—
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×C4⋊C4C23×C3711yescharacteristic
1033C2×C4⋊C4C23×C3711yescharacteristic
1034C2×C4⋊C4C23×C3711yescharacteristic
1035C2×C4⋊C4C23×C3711yescharacteristic
1036C2×C4⋊C4C23×C3711yescharacteristic
1037C2×C4⋊C4C23×C3711yescharacteristic
1038C2×C4⋊C4C23×C3711yescharacteristic
1039C2×C4⋊C4C23×C3711yescharacteristic
1040C2×C4⋊C4C23×C3711yescharacteristic
1041C2×C4⋊C4C23×C3711yescharacteristic
1042C2×C4⋊C4C23×C3711yescharacteristic
1043C2×C4⋊C4C23×C3711yescharacteristic
1044C2×C4⋊C4C23×C3711yescharacteristic
1045C2×C4⋊C4C23×C3711yescharacteristic
1046C2×C4⋊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×C22⋊C4C23×C3711yescharacteristic
1081C2×C22⋊C4C23×C3711yescharacteristic
1082C2×C22⋊C4C23×C3711yescharacteristic
1083C2×C22⋊C4C23×C3711yescharacteristic
1084C2×C22⋊C4C23×C3711yescharacteristic
1085C2×C22⋊C4C23×C3711yescharacteristic
1086C2×C22⋊C4C23×C3711yescharacteristic
1087C2×C42—42no—
1088C2×C42C23×C3711yescharacteristic
1089C2×C42C23×C3711yescharacteristic
1090C2×C42C23×C3711yescharacteristic
1091C2×C42C23×C3711yescharacteristic
1092C2×C42C23×C3711yescharacteristic
1093C2×C42C23×C3711yescharacteristic
1094C2×C42C23×C3711yescharacteristic
1095C2×C42C23×C3711yescharacteristic
1096C2×C42C23×C3711yescharacteristic
1097C2×C42C23×C3711yescharacteristic
1098C2×C42C23×C3711yescharacteristic
1099C2×C42C23×C3711yescharacteristic
1100C2×C42C23×C3711yescharacteristic
1101C2×C42C23×C3711yescharacteristic
1102C2×C42C23×C3711yescharacteristic
1103C2×C42C23×C3711yescharacteristic
1104C2×C42C23×C3711yescharacteristic
1105C2×C42C23×C3711yescharacteristic
1106C2×C42C23×C3711yescharacteristic
1107C2×C42C23×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
1132#95C23×C3711yescharacteristic
1133#95C23×C3711yescharacteristic
1134#95C23×C3711yescharacteristic
1135#95C23×C3711yescharacteristic
1136#95C23×C3711yescharacteristic
1137#95C23×C3711yescharacteristic
1138#95C23×C3711yescharacteristic
1139#95C23×C3711yescharacteristic
1140#95C23×C3711yescharacteristic
1141#95C23×C3711yescharacteristic
1142#95C23×C3711yescharacteristic
1143#95C23×C3711yescharacteristic
1144#95C23×C3711yescharacteristic
1145#95C23×C3711yescharacteristic
1146#95C23×C3711yescharacteristic
1147#95C23×C3711yescharacteristic
1148#95C23×C3711yescharacteristic
1149#95C23×C3711yescharacteristic
1150#95C23×C3711yescharacteristic
1151#95C23×C3711yescharacteristic
1152C24C24×C3711yescharacteristic
1153C24C24×C3711yescharacteristic
1154C24C24×C3711yescharacteristic
1155C24C24×C3711yescharacteristic
1156C24C24×C3711yescharacteristic
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—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4C22×C4×C3714yes—
1178C2×D4C22×C4×C3714yes—
1179C2×D4C22×C4×C3714yes—
1180C2×D4C22×C4×C3714yes—
1181C2×D4C22×C4×C3714yes—
1182C2×D4C22×C4×C3714yes—
1183C2×D4C22×C4×C3714yes—
1184C2×D4C22×C4×C3714yes—
1185C2×D4C22×C4×C3714yes—
1186C2×D4C22×C4×C3714yes—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4C22×C4×C3714yes—
1228C22×C4C22×C4×C3714yes—
1229C22×C4C22×C4×C3714yes—
1230C22×C4C22×C4×C3714yes—
1231C22×C4C22×C4×C3714yes—
1232C22×C4C24×C3711yescharacteristic
1233C22×C4C24×C3711yescharacteristic
1234C22×C4C24×C3711yescharacteristic
1235C22×C4C24×C3711yescharacteristic
1236C22×C4C24×C3711yescharacteristic
1237C22×C4C24×C3711yescharacteristic
1238C22×C4C24×C3711yescharacteristic
1239C22×C4C24×C3711yescharacteristic
1240C22×C4C24×C3711yescharacteristic
1241C22×C4C24×C3711yescharacteristic
1242C22×C4C24×C3711yescharacteristic
1243C22×C4C24×C3711yescharacteristic
1244C22×C4C24×C3711yescharacteristic
1245C22×C4C24×C3711yescharacteristic
1246C22×C4C24×C3711yescharacteristic
1247C22×C4C24×C3711yescharacteristic
1248C22×C4C24×C3711yescharacteristic
1249C22×C4C24×C3711yescharacteristic
1250C22×C4C24×C3711yescharacteristic
1251C22×C4C24×C3711yescharacteristic
1252C22×C4C24×C3711yescharacteristic
1253C22×C4C24×C3711yescharacteristic
1254C22×C4C24×C3711yescharacteristic
1255C22×C4C24×C3711yescharacteristic
1256C22×C4C24×C3711yescharacteristic
1257C22×C4C24×C3711yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4C22×C4×C3714yes—
1277C4⋊C4C22×C4×C3714yes—
1278C4⋊C4C22×C4×C3714yes—
1279C4⋊C4C22×C4×C3714yes—
1280C4⋊C4C22×C4×C3714yes—
1281C4⋊C4C22×C4×C3714yes—
1282C4⋊C4C22×C4×C3714yes—
1283C4⋊C4C22×C4×C3714yes—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
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—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4C22×C4×C3714yes—
1315C22⋊C4C22×C4×C3714yes—
1316C22⋊C4C22×C4×C3714yes—
1317C22⋊C4C22×C4×C3714yes—
1318C22⋊C4C22×C4×C3714yes—
1319C22⋊C4C22×C4×C3714yes—
1320C22⋊C4C22×C4×C3714yes—
1321C22⋊C4C22×C4×C3714yes—
1322C22⋊C4C22×C4×C3714yes—
1323C22⋊C4C22×C4×C3714yes—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—41no—
1328C42—41no—
1329C42—41no—
1330C42—41no—
1331C42—41no—
1332C42—41no—
1333C42—41no—
1334C42—41no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42C22×C4×C3714yes—
1343C42C22×C4×C3714yes—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23C23×C4×C3712yes—
1375C23C23×C4×C3712yes—
1376C23C23×C4×C3712yes—
1377C23C23×C4×C3712yes—
1378C23C23×C4×C3712yes—
1379C23C25×C3711yescharacteristic
1380D4—44no—
1381D4—44no—
1382D4—44no—
1383D4—44no—
1384D4—44no—
1385D4—44no—
1386D4—44no—
1387D4—44no—
1388D4—44no—
1389D4—44no—
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—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—44no—
1457C2×C4—44no—
1458C2×C4—44no—
1459C2×C4—44no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—82no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—82no—
1471C2×C4C23×C4×C3712yes—
1472C2×C4C23×C4×C3712yes—
1473C2×C4C23×C4×C3712yes—
1474C2×C4C23×C4×C3712yes—
1475C2×C4C23×C4×C3712yes—
1476C2×C4C23×C4×C3712yes—
1477C2×C4C23×C4×C3712yes—
1478C2×C4C23×C4×C3712yes—
1479C2×C4C23×C4×C3712yes—
1480C2×C4C23×C4×C3712yes—
1481C2×C4H(5,𝔽2)×C3712yes—
1482C2×C4H(5,𝔽2)×C3712yes—
1483C22—22no—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22C24×C4×C3711yescharacteristic
1519C22C2×H(5,𝔽2)×C3711yescharacteristic
1520C22C2×H(5,𝔽2)×C3711yescharacteristic
1521C22C37×#58511yescharacteristic
1522C22C37×#58511yescharacteristic
1523C22C37×#58511yescharacteristic
1524C22C37×#58511yescharacteristic
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C2—42no—
1552C2—42no—
1553C2—42no—
1554C2—42no—
1555C2—42no—
1556C2C37×#342811yescharacteristic
1557C2C4×H(5,𝔽2)×C3711yescharacteristic
1558C2C4×H(5,𝔽2)×C3711yescharacteristic
1559C2C37×#353411yescharacteristic
1560C2C37×#353911yescharacteristic
1561C2C37×#356211yescharacteristic
1562C2C37×#356611yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutatorC22C24×C4×C37
Frattini, cosocleC23C25×C37
prime radicalC2×C37×#540C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
2. C37×#2380C2semidirect
3. C37×#2377C2semidirect
4. C37×#2377C2semidirect
5. C37×#2376C2semidirect
6. C37×#2374C2semidirect
7. C37×#2366C2semidirect
8. C37×#2364C2semidirect
9. C37×#2364C2semidirect
10. C37×#2363C2semidirect
11. C37×#2361C2semidirect
12. C37×#2359C2semidirect
13. C37×#2359C2semidirect
14. C37×#2353C2semidirect
15. C37×#2352C2semidirect
16. C37×#2347C2semidirect
17. C37×#2343C2semidirect
18. C37×#2336C2semidirect
19. C37×#2336C2semidirect
20. C37×#2335C2semidirect
21. C37×#2335C2semidirect
22. C37×#2333C2semidirect
23. C37×#2333C2semidirect
24. C37×#2325C2semidirect
25. C37×#2325C2semidirect
26. C37×#2324C2semidirect
27. C37×#2322C2semidirect
28. C37×#2318C2semidirect
29. C4×#123×C37C2semidirect
30. C4×#121×C37C2semidirect
31. C37×#2290C2semidirect
32. C37×#540C4semidirect
213. #127×C37C2×C4semidirect
214. #125×C37C2×C4semidirect
215. #123×C37C2×C4semidirect
216. #123×C37C2×C4semidirect
217. #123×C37C2×C4semidirect
218. #123×C37C2×C4semidirect
219. #121×C37C2×C4semidirect
220. #121×C37C2×C4semidirect
221. #121×C37C2×C4semidirect
222. #121×C37C2×C4semidirect
223. #121×C37C2×C4semidirect
224. #121×C37C2×C4semidirect
233. C4×D4×C37C2×C4semidirect
234. C4×D4×C37C2×C4semidirect
237. #117×C37C2×C4semidirect
701. #34442C37direct (N × H)
771. #2380C2×C37semidirect
772. #2377C2×C37semidirect
773. #2377C2×C37semidirect
774. #2376C2×C37semidirect
775. #2374C2×C37semidirect
776. #2366C2×C37semidirect
777. #2364C2×C37semidirect
778. #2364C2×C37semidirect
779. #2363C2×C37semidirect
780. #2361C2×C37semidirect
781. #2359C2×C37semidirect
782. #2359C2×C37semidirect
783. #2353C2×C37semidirect
784. #2352C2×C37semidirect
785. #2347C2×C37semidirect
786. #2343C2×C37semidirect
787. #2336C2×C37semidirect
788. #2336C2×C37semidirect
789. #2335C2×C37semidirect
790. #2335C2×C37semidirect
791. #2333C2×C37semidirect
792. #2333C2×C37semidirect
793. #2325C2×C37semidirect
794. #2325C2×C37semidirect
795. #2324C2×C37semidirect
796. #2322C2×C37semidirect
797. #2318C2×C37semidirect
798. C4×#123C2×C37semidirect
799. C4×#121C2×C37semidirect
800. #2290C2×C37semidirect
813. #540C4×C37semidirect
969. C37#34442direct (N × H)
995. #127C2×C4×C37semidirect
996. #125C2×C4×C37semidirect
997. #123C2×C4×C37semidirect
998. #123C2×C4×C37semidirect
999. #123C2×C4×C37semidirect
1000. #123C2×C4×C37semidirect
1001. #121C2×C4×C37semidirect
1002. #121C2×C4×C37semidirect
1003. #121C2×C4×C37semidirect
1004. #121C2×C4×C37semidirect
1005. #121C2×C4×C37semidirect
1006. #121C2×C4×C37semidirect
1015. C4×D4C2×C4×C37semidirect
1016. C4×D4C2×C4×C37semidirect
1019. #117C2×C4×C37semidirect

Maximal subgroups

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

subgroupindex
C2×C37×#5402
C37×#23802
C37×#23772
C37×#23762
C37×#23742
C37×#23662
C37×#23642
C37×#23632
C37×#23612
C37×#23592
C37×#23532
C37×#23522
C37×#23472
C37×#23432
C37×#23362
C37×#23352
C37×#23332
C37×#23252
C37×#23242
C37×#23222
C37×#23182
C4×#123×C372
C4×#121×C372
C37×#22902
#3444237