Finite Group Databasebeta

← C37×#36796 #22658049

Subgroups — C37×#36796 #22658049

Order 9472.

1714 conjugacy classes of subgroups.

The subgroup lattice has 1452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2852C211yesmaximal, characteristic, complemented
2C37×#2851C211yesmaximal, characteristic, complemented
3C37×#2808C211yesmaximal, characteristic, complemented
4C37×#2798C211yesmaximal, characteristic, complemented
5C37×#2796C211yesmaximal, characteristic, complemented
6C37×#2795C211yesmaximal, characteristic, complemented
7C37×#2793C211yesmaximal, characteristic, complemented
8C37×#2785C211yesmaximal, characteristic, complemented
9C37×#2783C211yesmaximal, characteristic, complemented
10C37×#2783C211yesmaximal, characteristic, complemented
11C37×#2781C211yesmaximal, characteristic, complemented
12C37×#2777C211yesmaximal, characteristic, complemented
13C37×#2775C211yesmaximal, characteristic, complemented
14C37×#2773C211yesmaximal, characteristic, complemented
15C37×#2727C211yesmaximal, characteristic, complemented
16C37×#2721C211yesmaximal, characteristic, complemented
17C37×#2718C211yesmaximal, characteristic, complemented
18C37×#2694C211yesmaximal, characteristic, complemented
19C37×#2626C211yesmaximal, characteristic, complemented
20C37×#2622C211yesmaximal, characteristic
21C37×#2505C211yesmaximal, characteristic, complemented
22C37×#2498C211yesmaximal, characteristic, complemented
23C37×#2482C211yesmaximal, characteristic, complemented
24C37×#2480C211yesmaximal, characteristic, complemented
25C37×#2450C211yesmaximal, characteristic, complemented
26C37×#2438C211yesmaximal, characteristic, complemented
27C37×#2418C211yesmaximal, characteristic
28C37×#2411C211yesmaximal, characteristic
29C37×#2322C211yesmaximal, characteristic, complemented
30C37×#2317C211yesmaximal, characteristic, complemented
31C2×C37×#388C211yesmaximal, characteristic, complemented
32C2×#126×C37C2211yescharacteristic
33C2×#126×C37C2211yescharacteristic, complemented
34C2×#125×C37C2211yescharacteristic, complemented
35C2×#123×C37C2211yescharacteristic
36C2×#123×C37C2211yescharacteristic
37C2×C22⋊Q8×C37C2211yescharacteristic
38C2×#120×C37C2211yescharacteristic
39C2×C4×D4×C37C2211yescharacteristic
40C2×#117×C37C2211yescharacteristic
41C2×#117×C37C2211yescharacteristic
42C22×C4⋊C4×C37C2211yescharacteristic
43C22×C22⋊C4×C37C2211yescharacteristic
44C22×C22⋊C4×C37C2211yescharacteristic
45C22×C22⋊C4×C37C2211yescharacteristic
46C22×C42×C37C2211yescharacteristic
47C37×#400C2211yescharacteristic, complemented
48C37×#400C2211yescharacteristic, complemented
49C37×#400C2211yescharacteristic, complemented
50C37×#400C2211yescharacteristic, complemented
51C37×#400C2211yescharacteristic, complemented
52C37×#400C2211yescharacteristic, complemented
53C37×#399C2211yescharacteristic
54C37×#399C2211yescharacteristic
55C37×#399C2211yescharacteristic
56C37×#399C2211yescharacteristic
57C37×#399C2211yescharacteristic
58C37×#399C2211yescharacteristic, complemented
59C37×#398C2211yescharacteristic, complemented
60C37×#398C2211yescharacteristic, complemented
61C37×#398C2211yescharacteristic, complemented
62C37×#398C2211yescharacteristic, complemented
63C37×#398C2211yescharacteristic, complemented
64C37×#397C2211yescharacteristic
65C37×#397C2211yescharacteristic
66C37×#397C2211yescharacteristic
67C37×#397C2211yescharacteristic
68C37×#397C2211yescharacteristic
69C37×#397C2211yescharacteristic
70C37×#397C2211yescharacteristic
71C37×#397C2211yescharacteristic
72C37×#397C2211yescharacteristic
73C37×#397C2211yescharacteristic
74C37×#397C2211yescharacteristic, complemented
75C37×#396C2211yescharacteristic
76C37×#396C2211yescharacteristic
77C37×#396C2211yescharacteristic
78C37×#396C2211yescharacteristic
79C37×#396C2211yescharacteristic
80C37×#396C2211yescharacteristic
81C37×#396C2211yescharacteristic
82C37×#396C2211yescharacteristic, complemented
83C37×#395C2211yescharacteristic, complemented
84C37×#394C2211yescharacteristic
85C37×#394C2211yescharacteristic
86C37×#394C2211yescharacteristic
87C37×#394C2211yescharacteristic
88C37×#394C2211yescharacteristic
89C37×#394C2211yescharacteristic
90C37×#394C2211yescharacteristic
91C37×#394C2211yescharacteristic
92C37×#393C2211yescharacteristic
93C37×#393C2211yescharacteristic
94C37×#393C2211yescharacteristic, complemented
95C37×#391C2211yescharacteristic, complemented
96C37×#391C2211yescharacteristic, complemented
97C37×#390C2211yescharacteristic
98C37×#390C2211yescharacteristic
99C37×#389C2211yescharacteristic, complemented
100C37×#389C2211yescharacteristic, complemented
101C37×#389C2211yescharacteristic, complemented
102C37×#389C2211yescharacteristic, complemented
103C37×#389C2211yescharacteristic, complemented
104C37×#389C2211yescharacteristic, complemented
105C37×#389C2211yescharacteristic, complemented
106C37×#389C2211yescharacteristic, complemented
107C37×#389C2211yescharacteristic, complemented
108C37×#389C2211yescharacteristic, complemented
109C37×#388C2211yescharacteristic
110C37×#388C2211yescharacteristic
111C37×#388C2211yescharacteristic
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
126C37×#388C2211yescharacteristic
127C37×#388C2211yescharacteristic
128C37×#388C2211yescharacteristic, complemented
129C37×#388C2211yescharacteristic, complemented
130C37×#388C2211yescharacteristic, complemented
131C37×#388C2211yescharacteristic, complemented
132C37×#388C2211yescharacteristic, complemented
133C37×#388C2211yescharacteristic, complemented
134C37×#388C2211yescharacteristic, complemented
135C37×#387C2211yescharacteristic, complemented
136C37×#387C2211yescharacteristic, complemented
137C37×#387C2211yescharacteristic, complemented
138C37×#387C2211yescharacteristic, complemented
139C37×#387C2211yescharacteristic, complemented
140C37×#387C2211yescharacteristic, complemented
141C37×#387C2211yescharacteristic, complemented
142C37×#387C2211yescharacteristic, complemented
143C37×#387C2211yescharacteristic, complemented
144C37×#387C2211yescharacteristic, complemented
145C37×#387C2211yescharacteristic, complemented
146C37×#387C2211yescharacteristic, complemented
147C37×#387C2211yescharacteristic, complemented
148C37×#387C2211yescharacteristic, complemented
149C37×#387C2211yescharacteristic, complemented
150C37×#387C2211yescharacteristic, complemented
151C37×#386C2211yescharacteristic
152C37×#386C2211yescharacteristic
153C37×#386C2211yescharacteristic
154C37×#386C2211yescharacteristic
155C37×#386C2211yescharacteristic
156C37×#385C2211yescharacteristic
157C37×#385C2211yescharacteristic
158C37×#385C2211yescharacteristic
159C37×#385C2211yescharacteristic
160C37×#385C2211yescharacteristic
161C37×#385C2211yescharacteristic
162C37×#385C2211yescharacteristic
163C37×#385C2211yescharacteristic
164C37×#385C2211yescharacteristic
165C37×#385C2211yescharacteristic
166C37×#385C2211yescharacteristic, complemented
167C37×#385C2211yescharacteristic, complemented
168C37×#385C2211yescharacteristic, complemented
169C37×#384C2211yescharacteristic, complemented
170C37×#384C2211yescharacteristic, complemented
171C37×#383C2211yescharacteristic, complemented
172C37×#382C2211yescharacteristic, complemented
173C37×#382C2211yescharacteristic, complemented
174C37×#382C2211yescharacteristic, complemented
175C37×#382C2211yescharacteristic, complemented
176C37×#381C2211yescharacteristic
177C37×#380C2211yescharacteristic
178C37×#380C2211yescharacteristic
179C37×#380C2211yescharacteristic
180C37×#380C2211yescharacteristic, complemented
181C37×#379C2211yescharacteristic
182C37×#379C2211yescharacteristic
183C37×#379C2211yescharacteristic
184C4×C22⋊C4×C37C2211yescharacteristic
185C2×#95×C37C2211yescharacteristic
186C2×#95×C37C2211yescharacteristic
187C25×C37C2311yescharacteristic
188C22×Q8×C37C2311yescharacteristic
189C22×D4×C37C2311yescharacteristic
190C22×D4×C37C2311yescharacteristic
191C22×D4×C37C2311yescharacteristic
192C23×C4×C37C2311yescharacteristic
193C23×C4×C37C2311yescharacteristic
194C23×C4×C37C2311yescharacteristic
195C23×C4×C37C2311yescharacteristic
196C23×C4×C37C2311yescharacteristic
197C23×C4×C37C2311yescharacteristic
198C23×C4×C37C2311yescharacteristic
199#126×C37—42no—
200#126×C37—42no—
201#125×C37—42no—
202#123×C37—24no—
203#123×C37—42no—
204C22⋊Q8×C37—42no—
205#120×C37—42no—
206C4×D4×C37—42no—
207#117×C37—24no—
208#117×C37—42no—
209C2×C4⋊C4×C37—42no—
210C2×C4⋊C4×C37C2311yescharacteristic
211C2×C4⋊C4×C37C2311yescharacteristic
212C2×C4⋊C4×C37C2311yescharacteristic
213C2×C4⋊C4×C37C2311yescharacteristic
214C2×C4⋊C4×C37C2311yescharacteristic
215C2×C4⋊C4×C37C2311yescharacteristic
216C2×C4⋊C4×C37C2311yescharacteristic
217C2×C4⋊C4×C37C2311yescharacteristic
218C2×C4⋊C4×C37C2311yescharacteristic
219C2×C4⋊C4×C37C2311yescharacteristic
220C2×C4⋊C4×C37C2311yescharacteristic
221C2×C4⋊C4×C37C2311yescharacteristic
222C2×C4⋊C4×C37C2311yescharacteristic
223C2×C4⋊C4×C37C2311yescharacteristic
224C2×C4⋊C4×C37C2311yescharacteristic
225C2×C4⋊C4×C37C2311yescharacteristic
226C2×C4⋊C4×C37C2311yescharacteristic
227C2×C4⋊C4×C37C2311yescharacteristic
228C2×C4⋊C4×C37C2311yescharacteristic
229C2×C4⋊C4×C37C2311yescharacteristic
230C2×C4⋊C4×C37C2311yescharacteristic
231C2×C4⋊C4×C37C2311yescharacteristic
232C2×C4⋊C4×C37C2311yescharacteristic
233C2×C4⋊C4×C37C2311yescharacteristic
234C2×C4⋊C4×C37C2311yescharacteristic
235C2×C4⋊C4×C37C2311yescharacteristic
236C2×C4⋊C4×C37C2311yescharacteristic
237C2×C4⋊C4×C37C2311yescharacteristic
238C2×C4⋊C4×C37C2311yescharacteristic
239C2×C4⋊C4×C37C2311yescharacteristic
240C2×C4⋊C4×C37C2311yescharacteristic
241C2×C4⋊C4×C37C2311yescharacteristic
242C2×C4⋊C4×C37C2311yescharacteristic
243C2×C4⋊C4×C37C2311yescharacteristic
244C2×C4⋊C4×C37C2311yescharacteristic
245C2×C4⋊C4×C37C2311yescharacteristic
246C2×C4⋊C4×C37C2311yescharacteristic
247C2×C4⋊C4×C37C2311yescharacteristic
248C2×C4⋊C4×C37C2311yescharacteristic
249C2×C4⋊C4×C37C2311yescharacteristic
250C2×C22⋊C4×C37—24no—
251C2×C22⋊C4×C37—42no—
252C2×C22⋊C4×C37—42no—
253C2×C22⋊C4×C37C2311yescharacteristic
254C2×C22⋊C4×C37C2311yescharacteristic
255C2×C22⋊C4×C37C2311yescharacteristic
256C2×C22⋊C4×C37C2311yescharacteristic
257C2×C22⋊C4×C37C2311yescharacteristic
258C2×C22⋊C4×C37C2311yescharacteristic
259C2×C22⋊C4×C37C2311yescharacteristic
260C2×C22⋊C4×C37C2311yescharacteristic
261C2×C22⋊C4×C37C2311yescharacteristic
262C2×C22⋊C4×C37C2311yescharacteristic
263C2×C22⋊C4×C37C2311yescharacteristic
264C2×C22⋊C4×C37C2311yescharacteristic
265C2×C22⋊C4×C37C2311yescharacteristic
266C2×C22⋊C4×C37C2311yescharacteristic
267C2×C22⋊C4×C37C2311yescharacteristic
268C2×C22⋊C4×C37C2311yescharacteristic
269C2×C22⋊C4×C37C2311yescharacteristic
270C2×C22⋊C4×C37C2311yescharacteristic
271C2×C22⋊C4×C37C2311yescharacteristic
272C2×C22⋊C4×C37C2311yescharacteristic
273C2×C22⋊C4×C37C2311yescharacteristic
274C2×C22⋊C4×C37C2311yescharacteristic
275C2×C22⋊C4×C37C2311yescharacteristic
276C2×C22⋊C4×C37C2311yescharacteristic
277C2×C22⋊C4×C37C2311yescharacteristic
278C2×C22⋊C4×C37C2311yescharacteristic
279C2×C22⋊C4×C37C2311yescharacteristic
280C2×C22⋊C4×C37C2311yescharacteristic
281C2×C22⋊C4×C37C2311yescharacteristic
282C2×C22⋊C4×C37C2311yescharacteristic
283C2×C22⋊C4×C37C2311yescharacteristic
284C2×C22⋊C4×C37C2311yescharacteristic
285C2×C22⋊C4×C37C2311yescharacteristic
286C2×C22⋊C4×C37C2311yescharacteristic
287C2×C22⋊C4×C37C2311yescharacteristic
288C2×C22⋊C4×C37C2311yescharacteristic
289C2×C22⋊C4×C37C2311yescharacteristic
290C2×C22⋊C4×C37C2311yescharacteristic
291C2×C22⋊C4×C37C2311yescharacteristic
292C2×C22⋊C4×C37C2311yescharacteristic
293C2×C22⋊C4×C37C2311yescharacteristic
294C2×C22⋊C4×C37C2311yescharacteristic
295C2×C22⋊C4×C37C2311yescharacteristic
296C2×C22⋊C4×C37C2311yescharacteristic
297C2×C42×C37—42no—
298C2×C42×C37C2311yescharacteristic
299C2×C42×C37C2311yescharacteristic
300C2×C42×C37C2311yescharacteristic
301C2×C42×C37C2311yescharacteristic
302C2×C42×C37C2311yescharacteristic
303C2×C42×C37C2311yescharacteristic
304C2×C42×C37C2311yescharacteristic
305C2×C42×C37C2311yescharacteristic
306C2×C42×C37C2311yescharacteristic
307C2×C42×C37C2311yescharacteristic
308C2×C42×C37C2311yescharacteristic
309#95×C37C2311yescharacteristic
310#95×C37C2311yescharacteristic
311#95×C37C2311yescharacteristic
312#95×C37C2311yescharacteristic
313#95×C37C2311yescharacteristic
314#95×C37C2311yescharacteristic
315#95×C37C2311yescharacteristic
316#95×C37C2311yescharacteristic
317#95×C37C2311yescharacteristic
318#95×C37C2311yescharacteristic
319#95×C37C2311yescharacteristic
320#95×C37C2311yescharacteristic
321#95×C37C2311yescharacteristic
322#95×C37C2311yescharacteristic
323#95×C37C2311yescharacteristic
324#95×C37C2311yescharacteristic
325#95×C37C2311yescharacteristic
326#95×C37C2311yescharacteristic
327#95×C37C2311yescharacteristic
328#95×C37C2311yescharacteristic
329#95×C37C2311yescharacteristic
330#95×C37C2311yescharacteristic
331#95×C37C2311yescharacteristic
332#95×C37C2311yescharacteristic
333#95×C37C2311yescharacteristic
334#95×C37C2311yescharacteristic
335#95×C37C2311yescharacteristic
336#95×C37C2311yescharacteristic
337#95×C37C2311yescharacteristic
338#95×C37C2311yescharacteristic
339#95×C37C2311yescharacteristic
340#95×C37C2311yescharacteristic
341#95×C37C2311yescharacteristic
342#95×C37C2311yescharacteristic
343#95×C37C2311yescharacteristic
344#95×C37C2311yescharacteristic
345#95×C37C2311yescharacteristic
346#95×C37C2311yescharacteristic
347#95×C37C2311yescharacteristic
348#95×C37C2311yescharacteristic
349#95×C37C2311yescharacteristic
350#95×C37C2311yescharacteristic
351#95×C37C2311yescharacteristic
352#95×C37C2311yescharacteristic
353#95×C37C2311yescharacteristic
354#95×C37C2311yescharacteristic
355#95×C37C2311yescharacteristic
356#95×C37C2311yescharacteristic
357C24×C37—22no—
358C24×C37—22no—
359C24×C37—22no—
360C24×C37—41no—
361C24×C37—41no—
362C24×C37—41no—
363C24×C37—41no—
364C24×C37C2411yescharacteristic
365C24×C37C2411yescharacteristic
366C24×C37C2411yescharacteristic
367C24×C37C2411yescharacteristic
368C2×Q8×C37—41no—
369C2×Q8×C37—41no—
370C2×Q8×C37—41no—
371C2×D4×C37—22no—
372C2×D4×C37—22no—
373C2×D4×C37—22no—
374C2×D4×C37—41no—
375C2×D4×C37—41no—
376C2×D4×C37—41no—
377C2×D4×C37—41no—
378C2×D4×C37—41no—
379C2×D4×C37—41no—
380C22×C4×C37—22no—
381C22×C4×C37—22no—
382C22×C4×C37—22no—
383C22×C4×C37—22no—
384C22×C4×C37—22no—
385C22×C4×C37—22no—
386C22×C4×C37—22no—
387C22×C4×C37—22no—
388C22×C4×C37—41no—
389C22×C4×C37—41no—
390C22×C4×C37—41no—
391C22×C4×C37—41no—
392C22×C4×C37—41no—
393C22×C4×C37—41no—
394C22×C4×C37—41no—
395C22×C4×C37—41no—
396C22×C4×C37—41no—
397C22×C4×C37—41no—
398C22×C4×C37—41no—
399C22×C4×C37—41no—
400C22×C4×C37#4114yes—
401C22×C4×C37C2411yescharacteristic
402C22×C4×C37C2411yescharacteristic
403C22×C4×C37C2411yescharacteristic
404C22×C4×C37C2411yescharacteristic
405C22×C4×C37C2411yescharacteristic
406C22×C4×C37C2411yescharacteristic
407C22×C4×C37C2411yescharacteristic
408C22×C4×C37C2411yescharacteristic
409C22×C4×C37C2411yescharacteristic
410C22×C4×C37C2411yescharacteristic
411C22×C4×C37C2411yescharacteristic
412C22×C4×C37C2411yescharacteristic
413C22×C4×C37C2411yescharacteristic
414C22×C4×C37C2411yescharacteristic
415C22×C4×C37C2411yescharacteristic
416C22×C4×C37C2411yescharacteristic
417C22×C4×C37C2411yescharacteristic
418C22×C4×C37C2411yescharacteristic
419C22×C4×C37C2411yescharacteristic
420C22×C4×C37C2411yescharacteristic
421C22×C4×C37C2411yescharacteristic
422C22×C4×C37C2411yescharacteristic
423C22×C4×C37C2411yescharacteristic
424C22×C4×C37C2411yescharacteristic
425C22×C4×C37C2411yescharacteristic
426C22×C4×C37C2411yescharacteristic
427C22×C4×C37C2411yescharacteristic
428C4⋊C4×C37—22no—
429C4⋊C4×C37—22no—
430C4⋊C4×C37—22no—
431C4⋊C4×C37—22no—
432C4⋊C4×C37—22no—
433C4⋊C4×C37—22no—
434C4⋊C4×C37—22no—
435C4⋊C4×C37—41no—
436C4⋊C4×C37—41no—
437C4⋊C4×C37—41no—
438C4⋊C4×C37—41no—
439C4⋊C4×C37—41no—
440C4⋊C4×C37—41no—
441C4⋊C4×C37—41no—
442C4⋊C4×C37—41no—
443C4⋊C4×C37—41no—
444C4⋊C4×C37—41no—
445C4⋊C4×C37—41no—
446C4⋊C4×C37—41no—
447C4⋊C4×C37—41no—
448C4⋊C4×C37—41no—
449C4⋊C4×C37—41no—
450C4⋊C4×C37—41no—
451C4⋊C4×C37—41no—
452C4⋊C4×C37—41no—
453C4⋊C4×C37—41no—
454C4⋊C4×C37—41no—
455C4⋊C4×C37—41no—
456C4⋊C4×C37—41no—
457C4⋊C4×C37—41no—
458C4⋊C4×C37—41no—
459C4⋊C4×C37—41no—
460C4⋊C4×C37—41no—
461C4⋊C4×C37—41no—
462C4⋊C4×C37—41no—
463C4⋊C4×C37—41no—
464C4⋊C4×C37—41no—
465C4⋊C4×C37—41no—
466C4⋊C4×C37—41no—
467C4⋊C4×C37—41no—
468C22⋊C4×C37—22no—
469C22⋊C4×C37—22no—
470C22⋊C4×C37—22no—
471C22⋊C4×C37—22no—
472C22⋊C4×C37—22no—
473C22⋊C4×C37—22no—
474C22⋊C4×C37—22no—
475C22⋊C4×C37—22no—
476C22⋊C4×C37—22no—
477C22⋊C4×C37—22no—
478C22⋊C4×C37—22no—
479C22⋊C4×C37—22no—
480C22⋊C4×C37—22no—
481C22⋊C4×C37—22no—
482C22⋊C4×C37—22no—
483C22⋊C4×C37—22no—
484C22⋊C4×C37—41no—
485C22⋊C4×C37—41no—
486C22⋊C4×C37—41no—
487C22⋊C4×C37—41no—
488C22⋊C4×C37—41no—
489C22⋊C4×C37—41no—
490C22⋊C4×C37—41no—
491C22⋊C4×C37—41no—
492C22⋊C4×C37—41no—
493C22⋊C4×C37—41no—
494C22⋊C4×C37—41no—
495C22⋊C4×C37—41no—
496C22⋊C4×C37—41no—
497C22⋊C4×C37—41no—
498C22⋊C4×C37—41no—
499C22⋊C4×C37—41no—
500C22⋊C4×C37—41no—
501C22⋊C4×C37—41no—
502C22⋊C4×C37—41no—
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—
512C42×C37—22no—
513C42×C37—22no—
514C42×C37—22no—
515C42×C37—22no—
516C42×C37—41no—
517C42×C37—41no—
518C42×C37—41no—
519C42×C37—41no—
520C42×C37—41no—
521C42×C37—41no—
522C42×C37—41no—
523C23×C37—21no—
524C23×C37—21no—
525C23×C37—21no—
526C23×C37—21no—
527C23×C37—21no—
528C23×C37—21no—
529C23×C37—21no—
530C23×C37—21no—
531C23×C37—21no—
532C23×C37—21no—
533C23×C37—21no—
534C23×C37—21no—
535C23×C37—21no—
536C23×C37—21no—
537C23×C37—21no—
538C23×C37—21no—
539C23×C37—21no—
540C23×C37—21no—
541C23×C37—21no—
542C23×C37—21no—
543C23×C37—21no—
544C23×C37—21no—
545C23×C37—21no—
546C23×C37—21no—
547C23×C37—21no—
548C23×C37—44no—
549C23×C37—44no—
550C23×C37—44no—
551C23×C37—82no—
552C23×C37—82no—
553C23×C37—82no—
554C23×C37—82no—
555C23×C37C2×#4112yes—
556C23×C37H(5,𝔽2)12yes—
557C23×C372−1+412yes—
558C23×C37C2511yescharacteristic
559Q8×C37—82no—
560D4×C37—44no—
561D4×C37—82no—
562D4×C37—82no—
563C2×C4×C37—28no—
564C2×C4×C37—21no—
565C2×C4×C37—21no—
566C2×C4×C37—21no—
567C2×C4×C37—21no—
568C2×C4×C37—21no—
569C2×C4×C37—21no—
570C2×C4×C37—21no—
571C2×C4×C37—21no—
572C2×C4×C37—21no—
573C2×C4×C37—21no—
574C2×C4×C37—21no—
575C2×C4×C37—21no—
576C2×C4×C37—21no—
577C2×C4×C37—21no—
578C2×C4×C37—21no—
579C2×C4×C37—21no—
580C2×C4×C37—21no—
581C2×C4×C37—21no—
582C2×C4×C37—21no—
583C2×C4×C37—21no—
584C2×C4×C37—21no—
585C2×C4×C37—21no—
586C2×C4×C37—21no—
587C2×C4×C37—21no—
588C2×C4×C37—21no—
589C2×C4×C37—21no—
590C2×C4×C37—21no—
591C2×C4×C37—21no—
592C2×C4×C37—21no—
593C2×C4×C37—21no—
594C2×C4×C37—21no—
595C2×C4×C37—21no—
596C2×C4×C37—21no—
597C2×C4×C37—21no—
598C2×C4×C37—21no—
599C2×C4×C37—21no—
600C2×C4×C37—21no—
601C2×C4×C37—21no—
602C2×C4×C37—21no—
603C2×C4×C37—21no—
604C2×C4×C37—21no—
605C2×C4×C37—21no—
606C2×C4×C37—21no—
607C2×C4×C37—21no—
608C2×C4×C37—21no—
609C2×C4×C37—21no—
610C2×C4×C37—21no—
611C2×C4×C37—21no—
612C2×C4×C37—21no—
613C2×C4×C37—21no—
614C2×C4×C37—21no—
615C2×C4×C37—21no—
616C2×C4×C37—21no—
617C2×C4×C37—21no—
618C2×C4×C37—21no—
619C2×C4×C37—21no—
620C2×C4×C37—21no—
621C2×C4×C37—21no—
622C2×C4×C37—21no—
623C2×C4×C37—21no—
624C2×C4×C37—21no—
625C2×C4×C37—21no—
626C2×C4×C37—21no—
627C2×C4×C37—21no—
628C2×C4×C37—21no—
629C2×C4×C37—21no—
630C2×C4×C37—21no—
631C2×C4×C37—21no—
632C2×C4×C37—21no—
633C2×C4×C37—21no—
634C2×C4×C37—21no—
635C2×C4×C37—21no—
636C2×C4×C37—21no—
637C2×C4×C37—21no—
638C2×C4×C37—21no—
639C2×C4×C37—21no—
640C2×C4×C37—21no—
641C2×C4×C37—21no—
642C2×C4×C37—44no—
643C2×C4×C37—44no—
644C2×C4×C37—44no—
645C2×C4×C37—82no—
646C2×C4×C37—82no—
647C2×C4×C37—82no—
648C2×C4×C37C2×#4112yes—
649C2×C4×C37C2×#4112yes—
650C2×C4×C37H(5,𝔽2)12yes—
651#36796C3711yesmaximal, characteristic, direct product factor, Sylow
652C22×C37—22no—
653C22×C37—22no—
654C22×C37—22no—
655C22×C37—22no—
656C22×C37—22no—
657C22×C37—22no—
658C22×C37—41no—
659C22×C37—41no—
660C22×C37—41no—
661C22×C37—41no—
662C22×C37—41no—
663C22×C37—41no—
664C22×C37—41no—
665C22×C37—41no—
666C22×C37—41no—
667C22×C37—41no—
668C22×C37—41no—
669C22×C37—41no—
670C22×C37—41no—
671C22×C37—41no—
672C22×C37—41no—
673C22×C37—41no—
674C22×C37—41no—
675C22×C37—41no—
676C22×C37—41no—
677C22×C37—41no—
678C22×C37—41no—
679C22×C37—88no—
680C22×C37#53914yes—
681C22×C37C22×#4111yescharacteristic
682C22×C37C2×H(5,𝔽2)11yescharacteristic
683C22×C37C2×H(5,𝔽2)11yescharacteristic
684C22×C37C2×2−1+411yescharacteristic
685C22×C37#58511yescharacteristic
686C22×C37#58511yescharacteristic
687C22×C37#58511yescharacteristic
688C4×C37—22no—
689C4×C37—22no—
690C4×C37—22no—
691C4×C37—41no—
692C4×C37—41no—
693C4×C37—41no—
694C4×C37—41no—
695C4×C37—41no—
696C4×C37—41no—
697C4×C37—41no—
698C4×C37—41no—
699C4×C37—41no—
700C4×C37—41no—
701C4×C37—41no—
702C4×C37—41no—
703C4×C37—41no—
704C4×C37—41no—
705C4×C37—41no—
706C4×C37—41no—
707C4×C37—41no—
708C4×C37—41no—
709C4×C37—41no—
710C4×C37—41no—
711C4×C37—41no—
712C4×C37—41no—
713C4×C37—41no—
714C4×C37—41no—
715#2852C2×C3711yescharacteristic, complemented
716#2851C2×C3711yescharacteristic, complemented
717#2808C2×C3711yescharacteristic, complemented
718#2798C2×C3711yescharacteristic, complemented
719#2796C2×C3711yescharacteristic, complemented
720#2795C2×C3711yescharacteristic, complemented
721#2793C2×C3711yescharacteristic, complemented
722#2785C2×C3711yescharacteristic, complemented
723#2783C2×C3711yescharacteristic, complemented
724#2783C2×C3711yescharacteristic, complemented
725#2781C2×C3711yescharacteristic, complemented
726#2777C2×C3711yescharacteristic, complemented
727#2775C2×C3711yescharacteristic, complemented
728#2773C2×C3711yescharacteristic, complemented
729#2727C2×C3711yescharacteristic, complemented
730#2721C2×C3711yescharacteristic, complemented
731#2718C2×C3711yescharacteristic, complemented
732#2694C2×C3711yescharacteristic, complemented
733#2626C2×C3711yescharacteristic, complemented
734#2622C2×C3711yescharacteristic
735#2505C2×C3711yescharacteristic, complemented
736#2498C2×C3711yescharacteristic, complemented
737#2482C2×C3711yescharacteristic, complemented
738#2480C2×C3711yescharacteristic, complemented
739#2450C2×C3711yescharacteristic, complemented
740#2438C2×C3711yescharacteristic, complemented
741#2418C2×C3711yescharacteristic
742#2411C2×C3711yescharacteristic
743#2322C2×C3711yescharacteristic, complemented
744#2317C2×C3711yescharacteristic, complemented
745C2×#388C2×C3711yescharacteristic, complemented
746C2×C37—24no—
747C2×C37—81no—
748C2×C37—81no—
749C2×C37—81no—
750C2×C37C2×#53911yescharacteristic
751C2×C37#349311yescharacteristic
752C2×C37#350611yescharacteristic
753C2×C37#353511yescharacteristic
754C2×C37#354211yescharacteristic
755C2×C37#354511yescharacteristic
756C2×C37#356411yescharacteristic
757C2×#126C22×C3711yescharacteristic
758C2×#126C22×C3711yescharacteristic, complemented
759C2×#125C22×C3711yescharacteristic, complemented
760C2×#123C22×C3711yescharacteristic
761C2×#123C22×C3711yescharacteristic
762C2×C22⋊Q8C22×C3711yescharacteristic
763C2×#120C22×C3711yescharacteristic
764C2×C4×D4C22×C3711yescharacteristic
765C2×#117C22×C3711yescharacteristic
766C2×#117C22×C3711yescharacteristic
767C22×C4⋊C4C22×C3711yescharacteristic
768C22×C22⋊C4C22×C3711yescharacteristic
769C22×C22⋊C4C22×C3711yescharacteristic
770C22×C22⋊C4C22×C3711yescharacteristic
771C22×C42C22×C3711yescharacteristic
772#400C22×C3711yescharacteristic, complemented
773#400C22×C3711yescharacteristic, complemented
774#400C22×C3711yescharacteristic, complemented
775#400C22×C3711yescharacteristic, complemented
776#400C22×C3711yescharacteristic, complemented
777#400C22×C3711yescharacteristic, complemented
778#399C22×C3711yescharacteristic
779#399C22×C3711yescharacteristic
780#399C22×C3711yescharacteristic
781#399C22×C3711yescharacteristic
782#399C22×C3711yescharacteristic
783#399C22×C3711yescharacteristic, complemented
784#398C22×C3711yescharacteristic, complemented
785#398C22×C3711yescharacteristic, complemented
786#398C22×C3711yescharacteristic, complemented
787#398C22×C3711yescharacteristic, complemented
788#398C22×C3711yescharacteristic, complemented
789#397C22×C3711yescharacteristic
790#397C22×C3711yescharacteristic
791#397C22×C3711yescharacteristic
792#397C22×C3711yescharacteristic
793#397C22×C3711yescharacteristic
794#397C22×C3711yescharacteristic
795#397C22×C3711yescharacteristic
796#397C22×C3711yescharacteristic
797#397C22×C3711yescharacteristic
798#397C22×C3711yescharacteristic
799#397C22×C3711yescharacteristic, complemented
800#396C22×C3711yescharacteristic
801#396C22×C3711yescharacteristic
802#396C22×C3711yescharacteristic
803#396C22×C3711yescharacteristic
804#396C22×C3711yescharacteristic
805#396C22×C3711yescharacteristic
806#396C22×C3711yescharacteristic
807#396C22×C3711yescharacteristic, complemented
808#395C22×C3711yescharacteristic, complemented
809#394C22×C3711yescharacteristic
810#394C22×C3711yescharacteristic
811#394C22×C3711yescharacteristic
812#394C22×C3711yescharacteristic
813#394C22×C3711yescharacteristic
814#394C22×C3711yescharacteristic
815#394C22×C3711yescharacteristic
816#394C22×C3711yescharacteristic
817#393C22×C3711yescharacteristic
818#393C22×C3711yescharacteristic
819#393C22×C3711yescharacteristic, complemented
820#391C22×C3711yescharacteristic, complemented
821#391C22×C3711yescharacteristic, complemented
822#390C22×C3711yescharacteristic
823#390C22×C3711yescharacteristic
824#389C22×C3711yescharacteristic, complemented
825#389C22×C3711yescharacteristic, complemented
826#389C22×C3711yescharacteristic, complemented
827#389C22×C3711yescharacteristic, complemented
828#389C22×C3711yescharacteristic, complemented
829#389C22×C3711yescharacteristic, complemented
830#389C22×C3711yescharacteristic, complemented
831#389C22×C3711yescharacteristic, complemented
832#389C22×C3711yescharacteristic, complemented
833#389C22×C3711yescharacteristic, complemented
834#388C22×C3711yescharacteristic
835#388C22×C3711yescharacteristic
836#388C22×C3711yescharacteristic
837#388C22×C3711yescharacteristic
838#388C22×C3711yescharacteristic
839#388C22×C3711yescharacteristic
840#388C22×C3711yescharacteristic
841#388C22×C3711yescharacteristic
842#388C22×C3711yescharacteristic
843#388C22×C3711yescharacteristic
844#388C22×C3711yescharacteristic
845#388C22×C3711yescharacteristic
846#388C22×C3711yescharacteristic
847#388C22×C3711yescharacteristic
848#388C22×C3711yescharacteristic
849#388C22×C3711yescharacteristic
850#388C22×C3711yescharacteristic
851#388C22×C3711yescharacteristic
852#388C22×C3711yescharacteristic
853#388C22×C3711yescharacteristic, complemented
854#388C22×C3711yescharacteristic, complemented
855#388C22×C3711yescharacteristic, complemented
856#388C22×C3711yescharacteristic, complemented
857#388C22×C3711yescharacteristic, complemented
858#388C22×C3711yescharacteristic, complemented
859#388C22×C3711yescharacteristic, complemented
860#387C22×C3711yescharacteristic, complemented
861#387C22×C3711yescharacteristic, complemented
862#387C22×C3711yescharacteristic, complemented
863#387C22×C3711yescharacteristic, complemented
864#387C22×C3711yescharacteristic, complemented
865#387C22×C3711yescharacteristic, complemented
866#387C22×C3711yescharacteristic, complemented
867#387C22×C3711yescharacteristic, complemented
868#387C22×C3711yescharacteristic, complemented
869#387C22×C3711yescharacteristic, complemented
870#387C22×C3711yescharacteristic, complemented
871#387C22×C3711yescharacteristic, complemented
872#387C22×C3711yescharacteristic, complemented
873#387C22×C3711yescharacteristic, complemented
874#387C22×C3711yescharacteristic, complemented
875#387C22×C3711yescharacteristic, complemented
876#386C22×C3711yescharacteristic
877#386C22×C3711yescharacteristic
878#386C22×C3711yescharacteristic
879#386C22×C3711yescharacteristic
880#386C22×C3711yescharacteristic
881#385C22×C3711yescharacteristic
882#385C22×C3711yescharacteristic
883#385C22×C3711yescharacteristic
884#385C22×C3711yescharacteristic
885#385C22×C3711yescharacteristic
886#385C22×C3711yescharacteristic
887#385C22×C3711yescharacteristic
888#385C22×C3711yescharacteristic
889#385C22×C3711yescharacteristic
890#385C22×C3711yescharacteristic
891#385C22×C3711yescharacteristic, complemented
892#385C22×C3711yescharacteristic, complemented
893#385C22×C3711yescharacteristic, complemented
894#384C22×C3711yescharacteristic, complemented
895#384C22×C3711yescharacteristic, complemented
896#383C22×C3711yescharacteristic, complemented
897#382C22×C3711yescharacteristic, complemented
898#382C22×C3711yescharacteristic, complemented
899#382C22×C3711yescharacteristic, complemented
900#382C22×C3711yescharacteristic, complemented
901#381C22×C3711yescharacteristic
902#380C22×C3711yescharacteristic
903#380C22×C3711yescharacteristic
904#380C22×C3711yescharacteristic
905#380C22×C3711yescharacteristic, complemented
906#379C22×C3711yescharacteristic
907#379C22×C3711yescharacteristic
908#379C22×C3711yescharacteristic
909C4×C22⋊C4C22×C3711yescharacteristic
910C2×#95C22×C3711yescharacteristic
911C2×#95C22×C3711yescharacteristic
912C37#3679611yescharacteristic, direct product factor, Sylow
913C25C23×C3711yescharacteristic
914C22×Q8C23×C3711yescharacteristic
915C22×D4C23×C3711yescharacteristic
916C22×D4C23×C3711yescharacteristic
917C22×D4C23×C3711yescharacteristic
918C23×C4C23×C3711yescharacteristic
919C23×C4C23×C3711yescharacteristic
920C23×C4C23×C3711yescharacteristic
921C23×C4C23×C3711yescharacteristic
922C23×C4C23×C3711yescharacteristic
923C23×C4C23×C3711yescharacteristic
924C23×C4C23×C3711yescharacteristic
925#126—42no—
926#126—42no—
927#125—42no—
928#123—24no—
929#123—42no—
930C22⋊Q8—42no—
931#120—42no—
932C4×D4—42no—
933#117—24no—
934#117—42no—
935C2×C4⋊C4—42no—
936C2×C4⋊C4C23×C3711yescharacteristic
937C2×C4⋊C4C23×C3711yescharacteristic
938C2×C4⋊C4C23×C3711yescharacteristic
939C2×C4⋊C4C23×C3711yescharacteristic
940C2×C4⋊C4C23×C3711yescharacteristic
941C2×C4⋊C4C23×C3711yescharacteristic
942C2×C4⋊C4C23×C3711yescharacteristic
943C2×C4⋊C4C23×C3711yescharacteristic
944C2×C4⋊C4C23×C3711yescharacteristic
945C2×C4⋊C4C23×C3711yescharacteristic
946C2×C4⋊C4C23×C3711yescharacteristic
947C2×C4⋊C4C23×C3711yescharacteristic
948C2×C4⋊C4C23×C3711yescharacteristic
949C2×C4⋊C4C23×C3711yescharacteristic
950C2×C4⋊C4C23×C3711yescharacteristic
951C2×C4⋊C4C23×C3711yescharacteristic
952C2×C4⋊C4C23×C3711yescharacteristic
953C2×C4⋊C4C23×C3711yescharacteristic
954C2×C4⋊C4C23×C3711yescharacteristic
955C2×C4⋊C4C23×C3711yescharacteristic
956C2×C4⋊C4C23×C3711yescharacteristic
957C2×C4⋊C4C23×C3711yescharacteristic
958C2×C4⋊C4C23×C3711yescharacteristic
959C2×C4⋊C4C23×C3711yescharacteristic
960C2×C4⋊C4C23×C3711yescharacteristic
961C2×C4⋊C4C23×C3711yescharacteristic
962C2×C4⋊C4C23×C3711yescharacteristic
963C2×C4⋊C4C23×C3711yescharacteristic
964C2×C4⋊C4C23×C3711yescharacteristic
965C2×C4⋊C4C23×C3711yescharacteristic
966C2×C4⋊C4C23×C3711yescharacteristic
967C2×C4⋊C4C23×C3711yescharacteristic
968C2×C4⋊C4C23×C3711yescharacteristic
969C2×C4⋊C4C23×C3711yescharacteristic
970C2×C4⋊C4C23×C3711yescharacteristic
971C2×C4⋊C4C23×C3711yescharacteristic
972C2×C4⋊C4C23×C3711yescharacteristic
973C2×C4⋊C4C23×C3711yescharacteristic
974C2×C4⋊C4C23×C3711yescharacteristic
975C2×C4⋊C4C23×C3711yescharacteristic
976C2×C22⋊C4—24no—
977C2×C22⋊C4—42no—
978C2×C22⋊C4—42no—
979C2×C22⋊C4C23×C3711yescharacteristic
980C2×C22⋊C4C23×C3711yescharacteristic
981C2×C22⋊C4C23×C3711yescharacteristic
982C2×C22⋊C4C23×C3711yescharacteristic
983C2×C22⋊C4C23×C3711yescharacteristic
984C2×C22⋊C4C23×C3711yescharacteristic
985C2×C22⋊C4C23×C3711yescharacteristic
986C2×C22⋊C4C23×C3711yescharacteristic
987C2×C22⋊C4C23×C3711yescharacteristic
988C2×C22⋊C4C23×C3711yescharacteristic
989C2×C22⋊C4C23×C3711yescharacteristic
990C2×C22⋊C4C23×C3711yescharacteristic
991C2×C22⋊C4C23×C3711yescharacteristic
992C2×C22⋊C4C23×C3711yescharacteristic
993C2×C22⋊C4C23×C3711yescharacteristic
994C2×C22⋊C4C23×C3711yescharacteristic
995C2×C22⋊C4C23×C3711yescharacteristic
996C2×C22⋊C4C23×C3711yescharacteristic
997C2×C22⋊C4C23×C3711yescharacteristic
998C2×C22⋊C4C23×C3711yescharacteristic
999C2×C22⋊C4C23×C3711yescharacteristic
1000C2×C22⋊C4C23×C3711yescharacteristic
1001C2×C22⋊C4C23×C3711yescharacteristic
1002C2×C22⋊C4C23×C3711yescharacteristic
1003C2×C22⋊C4C23×C3711yescharacteristic
1004C2×C22⋊C4C23×C3711yescharacteristic
1005C2×C22⋊C4C23×C3711yescharacteristic
1006C2×C22⋊C4C23×C3711yescharacteristic
1007C2×C22⋊C4C23×C3711yescharacteristic
1008C2×C22⋊C4C23×C3711yescharacteristic
1009C2×C22⋊C4C23×C3711yescharacteristic
1010C2×C22⋊C4C23×C3711yescharacteristic
1011C2×C22⋊C4C23×C3711yescharacteristic
1012C2×C22⋊C4C23×C3711yescharacteristic
1013C2×C22⋊C4C23×C3711yescharacteristic
1014C2×C22⋊C4C23×C3711yescharacteristic
1015C2×C22⋊C4C23×C3711yescharacteristic
1016C2×C22⋊C4C23×C3711yescharacteristic
1017C2×C22⋊C4C23×C3711yescharacteristic
1018C2×C22⋊C4C23×C3711yescharacteristic
1019C2×C22⋊C4C23×C3711yescharacteristic
1020C2×C22⋊C4C23×C3711yescharacteristic
1021C2×C22⋊C4C23×C3711yescharacteristic
1022C2×C22⋊C4C23×C3711yescharacteristic
1023C2×C42—42no—
1024C2×C42C23×C3711yescharacteristic
1025C2×C42C23×C3711yescharacteristic
1026C2×C42C23×C3711yescharacteristic
1027C2×C42C23×C3711yescharacteristic
1028C2×C42C23×C3711yescharacteristic
1029C2×C42C23×C3711yescharacteristic
1030C2×C42C23×C3711yescharacteristic
1031C2×C42C23×C3711yescharacteristic
1032C2×C42C23×C3711yescharacteristic
1033C2×C42C23×C3711yescharacteristic
1034C2×C42C23×C3711yescharacteristic
1035#95C23×C3711yescharacteristic
1036#95C23×C3711yescharacteristic
1037#95C23×C3711yescharacteristic
1038#95C23×C3711yescharacteristic
1039#95C23×C3711yescharacteristic
1040#95C23×C3711yescharacteristic
1041#95C23×C3711yescharacteristic
1042#95C23×C3711yescharacteristic
1043#95C23×C3711yescharacteristic
1044#95C23×C3711yescharacteristic
1045#95C23×C3711yescharacteristic
1046#95C23×C3711yescharacteristic
1047#95C23×C3711yescharacteristic
1048#95C23×C3711yescharacteristic
1049#95C23×C3711yescharacteristic
1050#95C23×C3711yescharacteristic
1051#95C23×C3711yescharacteristic
1052#95C23×C3711yescharacteristic
1053#95C23×C3711yescharacteristic
1054#95C23×C3711yescharacteristic
1055#95C23×C3711yescharacteristic
1056#95C23×C3711yescharacteristic
1057#95C23×C3711yescharacteristic
1058#95C23×C3711yescharacteristic
1059#95C23×C3711yescharacteristic
1060#95C23×C3711yescharacteristic
1061#95C23×C3711yescharacteristic
1062#95C23×C3711yescharacteristic
1063#95C23×C3711yescharacteristic
1064#95C23×C3711yescharacteristic
1065#95C23×C3711yescharacteristic
1066#95C23×C3711yescharacteristic
1067#95C23×C3711yescharacteristic
1068#95C23×C3711yescharacteristic
1069#95C23×C3711yescharacteristic
1070#95C23×C3711yescharacteristic
1071#95C23×C3711yescharacteristic
1072#95C23×C3711yescharacteristic
1073#95C23×C3711yescharacteristic
1074#95C23×C3711yescharacteristic
1075#95C23×C3711yescharacteristic
1076#95C23×C3711yescharacteristic
1077#95C23×C3711yescharacteristic
1078#95C23×C3711yescharacteristic
1079#95C23×C3711yescharacteristic
1080#95C23×C3711yescharacteristic
1081#95C23×C3711yescharacteristic
1082#95C23×C3711yescharacteristic
1083C24—22no—
1084C24—22no—
1085C24—22no—
1086C24—41no—
1087C24—41no—
1088C24—41no—
1089C24—41no—
1090C24C24×C3711yescharacteristic
1091C24C24×C3711yescharacteristic
1092C24C24×C3711yescharacteristic
1093C24C24×C3711yescharacteristic
1094C2×Q8—41no—
1095C2×Q8—41no—
1096C2×Q8—41no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4#41×C3714yes—
1127C22×C4C24×C3711yescharacteristic
1128C22×C4C24×C3711yescharacteristic
1129C22×C4C24×C3711yescharacteristic
1130C22×C4C24×C3711yescharacteristic
1131C22×C4C24×C3711yescharacteristic
1132C22×C4C24×C3711yescharacteristic
1133C22×C4C24×C3711yescharacteristic
1134C22×C4C24×C3711yescharacteristic
1135C22×C4C24×C3711yescharacteristic
1136C22×C4C24×C3711yescharacteristic
1137C22×C4C24×C3711yescharacteristic
1138C22×C4C24×C3711yescharacteristic
1139C22×C4C24×C3711yescharacteristic
1140C22×C4C24×C3711yescharacteristic
1141C22×C4C24×C3711yescharacteristic
1142C22×C4C24×C3711yescharacteristic
1143C22×C4C24×C3711yescharacteristic
1144C22×C4C24×C3711yescharacteristic
1145C22×C4C24×C3711yescharacteristic
1146C22×C4C24×C3711yescharacteristic
1147C22×C4C24×C3711yescharacteristic
1148C22×C4C24×C3711yescharacteristic
1149C22×C4C24×C3711yescharacteristic
1150C22×C4C24×C3711yescharacteristic
1151C22×C4C24×C3711yescharacteristic
1152C22×C4C24×C3711yescharacteristic
1153C22×C4C24×C3711yescharacteristic
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
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⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C42—22no—
1239C42—22no—
1240C42—22no—
1241C42—22no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C42—41no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—44no—
1275C23—44no—
1276C23—44no—
1277C23—82no—
1278C23—82no—
1279C23—82no—
1280C23—82no—
1281C23C2×#41×C3712yes—
1282C23H(5,𝔽2)×C3712yes—
1283C232−1+4×C3712yes—
1284C23C25×C3711yescharacteristic
1285Q8—82no—
1286D4—44no—
1287D4—82no—
1288D4—82no—
1289C2×C4—28no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—44no—
1369C2×C4—44no—
1370C2×C4—44no—
1371C2×C4—82no—
1372C2×C4—82no—
1373C2×C4—82no—
1374C2×C4C2×#41×C3712yes—
1375C2×C4C2×#41×C3712yes—
1376C2×C4H(5,𝔽2)×C3712yes—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—88no—
1405C22C37×#53914yes—
1406C22C22×#41×C3711yescharacteristic
1407C22C2×H(5,𝔽2)×C3711yescharacteristic
1408C22C2×H(5,𝔽2)×C3711yescharacteristic
1409C22C2×2−1+4×C3711yescharacteristic
1410C22C37×#58511yescharacteristic
1411C22C37×#58511yescharacteristic
1412C22C37×#58511yescharacteristic
1413C4—22no—
1414C4—22no—
1415C4—22no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C2—24no—
1441C2—81no—
1442C2—81no—
1443C2—81no—
1444C2C2×C37×#53911yescharacteristic
1445C2C37×#349311yescharacteristic
1446C2C37×#350611yescharacteristic
1447C2C37×#353511yescharacteristic
1448C2C37×#354211yescharacteristic
1449C2C37×#354511yescharacteristic
1450C2C37×#356411yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutator, Frattini, cosocleC23C25×C37
prime radicalC2×#120×C37C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#2852C2semidirect
2. C37×#2851C2semidirect
3. C37×#2808C2semidirect
4. C37×#2798C2semidirect
5. C37×#2796C2semidirect
6. C37×#2795C2semidirect
7. C37×#2793C2semidirect
8. C37×#2785C2semidirect
9. C37×#2783C2semidirect
10. C37×#2783C2semidirect
11. C37×#2781C2semidirect
12. C37×#2777C2semidirect
13. C37×#2775C2semidirect
14. C37×#2773C2semidirect
15. C37×#2727C2semidirect
16. C37×#2721C2semidirect
17. C37×#2718C2semidirect
18. C37×#2694C2semidirect
19. C37×#2626C2semidirect
21. C37×#2505C2semidirect
22. C37×#2498C2semidirect
23. C37×#2482C2semidirect
24. C37×#2480C2semidirect
25. C37×#2450C2semidirect
26. C37×#2438C2semidirect
29. C37×#2322C2semidirect
30. C37×#2317C2semidirect
31. C2×C37×#388C2semidirect
33. C2×#126×C37C22semidirect
34. C2×#125×C37C22semidirect
47. C37×#400C22semidirect
48. C37×#400C22semidirect
49. C37×#400C22semidirect
50. C37×#400C22semidirect
51. C37×#400C22semidirect
52. C37×#400C22semidirect
58. C37×#399C22semidirect
59. C37×#398C22semidirect
60. C37×#398C22semidirect
61. C37×#398C22semidirect
62. C37×#398C22semidirect
63. C37×#398C22semidirect
74. C37×#397C22semidirect
82. C37×#396C22semidirect
83. C37×#395C22semidirect
94. C37×#393C22semidirect
95. C37×#391C22semidirect
96. C37×#391C22semidirect
99. C37×#389C22semidirect
100. C37×#389C22semidirect
101. C37×#389C22semidirect
102. C37×#389C22semidirect
103. C37×#389C22semidirect
104. C37×#389C22semidirect
105. C37×#389C22semidirect
106. C37×#389C22semidirect
107. C37×#389C22semidirect
108. C37×#389C22semidirect
128. C37×#388C22semidirect
129. C37×#388C22semidirect
130. C37×#388C22semidirect
131. C37×#388C22semidirect
132. C37×#388C22semidirect
133. C37×#388C22semidirect
134. C37×#388C22semidirect
135. C37×#387C22semidirect
136. C37×#387C22semidirect
137. C37×#387C22semidirect
138. C37×#387C22semidirect
139. C37×#387C22semidirect
140. C37×#387C22semidirect
141. C37×#387C22semidirect
142. C37×#387C22semidirect
143. C37×#387C22semidirect
144. C37×#387C22semidirect
145. C37×#387C22semidirect
146. C37×#387C22semidirect
147. C37×#387C22semidirect
148. C37×#387C22semidirect
149. C37×#387C22semidirect
150. C37×#387C22semidirect
166. C37×#385C22semidirect
167. C37×#385C22semidirect
168. C37×#385C22semidirect
169. C37×#384C22semidirect
170. C37×#384C22semidirect
171. C37×#383C22semidirect
172. C37×#382C22semidirect
173. C37×#382C22semidirect
174. C37×#382C22semidirect
175. C37×#382C22semidirect
180. C37×#380C22semidirect
651. #36796C37direct (N × H)
715. #2852C2×C37semidirect
716. #2851C2×C37semidirect
717. #2808C2×C37semidirect
718. #2798C2×C37semidirect
719. #2796C2×C37semidirect
720. #2795C2×C37semidirect
721. #2793C2×C37semidirect
722. #2785C2×C37semidirect
723. #2783C2×C37semidirect
724. #2783C2×C37semidirect
725. #2781C2×C37semidirect
726. #2777C2×C37semidirect
727. #2775C2×C37semidirect
728. #2773C2×C37semidirect
729. #2727C2×C37semidirect
730. #2721C2×C37semidirect
731. #2718C2×C37semidirect
732. #2694C2×C37semidirect
733. #2626C2×C37semidirect
735. #2505C2×C37semidirect
736. #2498C2×C37semidirect
737. #2482C2×C37semidirect
738. #2480C2×C37semidirect
739. #2450C2×C37semidirect
740. #2438C2×C37semidirect
743. #2322C2×C37semidirect
744. #2317C2×C37semidirect
745. C2×#388C2×C37semidirect
758. C2×#126C22×C37semidirect
759. C2×#125C22×C37semidirect
772. #400C22×C37semidirect
773. #400C22×C37semidirect
774. #400C22×C37semidirect
775. #400C22×C37semidirect
776. #400C22×C37semidirect
777. #400C22×C37semidirect
783. #399C22×C37semidirect
784. #398C22×C37semidirect
785. #398C22×C37semidirect
786. #398C22×C37semidirect
787. #398C22×C37semidirect
788. #398C22×C37semidirect
799. #397C22×C37semidirect
807. #396C22×C37semidirect
808. #395C22×C37semidirect
819. #393C22×C37semidirect
820. #391C22×C37semidirect
821. #391C22×C37semidirect
824. #389C22×C37semidirect
825. #389C22×C37semidirect
826. #389C22×C37semidirect
827. #389C22×C37semidirect
828. #389C22×C37semidirect
829. #389C22×C37semidirect
830. #389C22×C37semidirect
831. #389C22×C37semidirect
832. #389C22×C37semidirect
833. #389C22×C37semidirect
853. #388C22×C37semidirect
854. #388C22×C37semidirect
855. #388C22×C37semidirect
856. #388C22×C37semidirect
857. #388C22×C37semidirect
858. #388C22×C37semidirect
859. #388C22×C37semidirect
860. #387C22×C37semidirect
861. #387C22×C37semidirect
862. #387C22×C37semidirect
863. #387C22×C37semidirect
864. #387C22×C37semidirect
865. #387C22×C37semidirect
866. #387C22×C37semidirect
867. #387C22×C37semidirect
868. #387C22×C37semidirect
869. #387C22×C37semidirect
870. #387C22×C37semidirect
871. #387C22×C37semidirect
872. #387C22×C37semidirect
873. #387C22×C37semidirect
874. #387C22×C37semidirect
875. #387C22×C37semidirect
891. #385C22×C37semidirect
892. #385C22×C37semidirect
893. #385C22×C37semidirect
894. #384C22×C37semidirect
895. #384C22×C37semidirect
896. #383C22×C37semidirect
897. #382C22×C37semidirect
898. #382C22×C37semidirect
899. #382C22×C37semidirect
900. #382C22×C37semidirect
905. #380C22×C37semidirect
912. C37#36796direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#28522
C37×#28512
C37×#28082
C37×#27982
C37×#27962
C37×#27952
C37×#27932
C37×#27852
C37×#27832
C37×#27812
C37×#27772
C37×#27752
C37×#27732
C37×#27272
C37×#27212
C37×#27182
C37×#26942
C37×#26262
C37×#26222
C37×#25052
C37×#24982
C37×#24822
C37×#24802
C37×#24502
C37×#24382
C37×#24182
C37×#24112
C37×#23222
C37×#23172
C2×C37×#3882
#3679637