Finite Group Databasebeta

← C37×#35067 #22656320

Subgroups — C37×#35067 #22656320

Order 9472.

1772 conjugacy classes of subgroups.

The subgroup lattice has 1402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2866C211yesmaximal, characteristic, complemented
2C37×#2863C211yesmaximal, characteristic, complemented
3C37×#2853C211yesmaximal, characteristic, complemented
4C37×#2851C211yesmaximal, characteristic, complemented
5C37×#2655C211yesmaximal, characteristic, complemented
6C37×#2654C211yesmaximal, characteristic, complemented
7C37×#2653C211yesmaximal, characteristic, complemented
8C37×#2652C211yesmaximal, characteristic, complemented
9C37×#2590C211yesmaximal, characteristic, complemented
10C37×#2589C211yesmaximal, characteristic, complemented
11C37×#2578C211yesmaximal, characteristic, complemented
12C37×#2577C211yesmaximal, characteristic, complemented
13C37×#2528C211yesmaximal, characteristic, complemented
14C37×#2527C211yesmaximal, characteristic, complemented
15C37×#2510C211yesmaximal, characteristic, complemented
16C37×#2493C211yesmaximal, characteristic, complemented
17C37×#2488C211yesmaximal, characteristic, complemented
18C37×#2475C211yesmaximal, characteristic, complemented
19C37×#2473C211yesmaximal, characteristic, complemented
20C37×#2470C211yesmaximal, characteristic, complemented
21C37×#2450C211yesmaximal, characteristic, complemented
22C37×#2443C211yesmaximal, characteristic
23C37×#2425C211yesmaximal, characteristic
24C37×#2419C211yesmaximal, characteristic, complemented
25C37×#2329C211yesmaximal, characteristic, complemented
26C37×#2325C211yesmaximal, characteristic
27C37×#2322C211yesmaximal, characteristic, complemented
28C37×#2322C211yesmaximal, characteristic, complemented
29C37×#2290C211yesmaximal, characteristic, complemented
30C2×C37×#387C211yesmaximal, characteristic, complemented
31C42×D4×C37C211yesmaximal, characteristic, complemented
32C2×#125×C37C2211yescharacteristic
33C2×#123×C37C2211yescharacteristic
34C2×#123×C37C2211yescharacteristic
35C2×#123×C37C2211yescharacteristic
36C2×C22⋊Q8×C37C2211yescharacteristic
37C2×#121×C37C2211yescharacteristic
38C2×C4×D4×C37C2211yescharacteristic
39C2×C4×D4×C37C2211yescharacteristic
40C2×C4×D4×C37C2211yescharacteristic
41C2×C4×D4×C37C2211yescharacteristic
42C2×#117×C37C2211yescharacteristic
43C22×C4⋊C4×C37C2211yescharacteristic
44C22×C4⋊C4×C37C2211yescharacteristic
45C22×C42×C37C2211yescharacteristic
46C22×C42×C37C2211yescharacteristic
47C37×#401C2211yescharacteristic
48C37×#401C2211yescharacteristic
49C37×#400C2211yescharacteristic
50C37×#400C2211yescharacteristic
51C37×#400C2211yescharacteristic
52C37×#400C2211yescharacteristic
53C37×#400C2211yescharacteristic
54C37×#400C2211yescharacteristic
55C37×#400C2211yescharacteristic
56C37×#400C2211yescharacteristic
57C37×#400C2211yescharacteristic
58C37×#399C2211yescharacteristic
59C37×#398C2211yescharacteristic
60C37×#398C2211yescharacteristic
61C37×#398C2211yescharacteristic
62C37×#398C2211yescharacteristic
63C37×#398C2211yescharacteristic
64C37×#398C2211yescharacteristic
65C37×#398C2211yescharacteristic
66C37×#397C2211yescharacteristic
67C37×#397C2211yescharacteristic
68C37×#397C2211yescharacteristic
69C37×#397C2211yescharacteristic
70C37×#397C2211yescharacteristic
71C37×#397C2211yescharacteristic
72C37×#397C2211yescharacteristic
73C37×#396C2211yescharacteristic
74C37×#396C2211yescharacteristic
75C37×#394C2211yescharacteristic
76C37×#394C2211yescharacteristic
77C37×#393C2211yescharacteristic
78C37×#393C2211yescharacteristic
79C37×#391C2211yescharacteristic
80C37×#391C2211yescharacteristic
81C37×#391C2211yescharacteristic
82C37×#391C2211yescharacteristic
83C37×#389C2211yescharacteristic
84C37×#389C2211yescharacteristic
85C37×#389C2211yescharacteristic
86C37×#389C2211yescharacteristic
87C37×#389C2211yescharacteristic
88C37×#389C2211yescharacteristic
89C37×#389C2211yescharacteristic
90C37×#389C2211yescharacteristic
91C37×#388C2211yescharacteristic
92C37×#388C2211yescharacteristic
93C37×#388C2211yescharacteristic
94C37×#388C2211yescharacteristic
95C37×#388C2211yescharacteristic
96C37×#388C2211yescharacteristic
97C37×#388C2211yescharacteristic
98C37×#388C2211yescharacteristic
99C37×#388C2211yescharacteristic
100C37×#388C2211yescharacteristic
101C37×#388C2211yescharacteristic
102C37×#388C2211yescharacteristic
103C37×#388C2211yescharacteristic
104C37×#388C2211yescharacteristic
105C37×#387C2211yescharacteristic
106C37×#387C2211yescharacteristic
107C37×#387C2211yescharacteristic
108C37×#387C2211yescharacteristic
109C37×#387C2211yescharacteristic
110C37×#387C2211yescharacteristic
111C37×#387C2211yescharacteristic
112C37×#387C2211yescharacteristic
113C37×#387C2211yescharacteristic
114C37×#387C2211yescharacteristic
115C37×#387C2211yescharacteristic
116C37×#387C2211yescharacteristic
117C37×#387C2211yescharacteristic
118C37×#387C2211yescharacteristic
119C37×#387C2211yescharacteristic
120C37×#387C2211yescharacteristic
121C37×#387C2211yescharacteristic
122C37×#387C2211yescharacteristic
123C37×#387C2211yescharacteristic
124C37×#387C2211yescharacteristic
125C37×#387C2211yescharacteristic
126C37×#387C2211yescharacteristic
127C37×#387C2211yescharacteristic
128C37×#387C2211yescharacteristic
129C37×#387C2211yescharacteristic
130C37×#387C2211yescharacteristic
131C37×#387C2211yescharacteristic
132C37×#387C2211yescharacteristic
133C37×#387C2211yescharacteristic
134C37×#387C2211yescharacteristic
135C37×#386C2211yescharacteristic
136C37×#386C2211yescharacteristic
137C37×#386C2211yescharacteristic
138C37×#386C2211yescharacteristic
139C37×#386C2211yescharacteristic
140C37×#386C2211yescharacteristic
141C37×#386C2211yescharacteristic
142C37×#386C2211yescharacteristic
143C37×#386C2211yescharacteristic
144C37×#385C2211yescharacteristic
145C37×#385C2211yescharacteristic
146C37×#385C2211yescharacteristic
147C37×#385C2211yescharacteristic
148C37×#385C2211yescharacteristic
149C37×#385C2211yescharacteristic
150C37×#385C2211yescharacteristic
151C37×#385C2211yescharacteristic
152C37×#385C2211yescharacteristic
153C37×#385C2211yescharacteristic
154C37×#385C2211yescharacteristic
155C37×#385C2211yescharacteristic
156C37×#385C2211yescharacteristic
157C37×#385C2211yescharacteristic
158C37×#385C2211yescharacteristic
159C37×#383C2211yescharacteristic
160C37×#383C2211yescharacteristic
161C37×#382C2211yescharacteristic
162C37×#381C2211yescharacteristic
163C37×#381C2211yescharacteristic
164C37×#381C2211yescharacteristic
165C37×#380C2211yescharacteristic
166C37×#380C2211yescharacteristic
167C37×#380C2211yescharacteristic
168C37×#380C2211yescharacteristic
169C4×C4⋊C4×C37C2211yescharacteristic
170C4×C4⋊C4×C37C2211yescharacteristic
171C4×C4⋊C4×C37C2211yescharacteristic
172C4×C4⋊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
181C37×#376C2211yescharacteristic
182C2×#95×C37C2211yescharacteristic
183C2×#95×C37C2211yescharacteristic
184C2×#95×C37C2211yescharacteristic
185C2×#95×C37C2211yescharacteristic
186C43×C37C2211yescharacteristic
187C22×Q8×C37C2311yescharacteristic
188C22×D4×C37C2311yescharacteristic
189C22×D4×C37C2311yescharacteristic
190C22×D4×C37C2311yescharacteristic
191C23×C4×C37C2311yescharacteristic
192C23×C4×C37C2311yescharacteristic
193C23×C4×C37C2311yescharacteristic
194C23×C4×C37C2311yescharacteristic
195C23×C4×C37C2311yescharacteristic
196C23×C4×C37C2311yescharacteristic
197C23×C4×C37C2311yescharacteristic
198C23×C4×C37C2311yescharacteristic
199C23×C4×C37C2311yescharacteristic
200C23×C4×C37C2311yescharacteristic
201C23×C4×C37C2311yescharacteristic
202#125×C37—42no—
203#123×C37—24no—
204#123×C37—24no—
205#123×C37—42no—
206C22⋊Q8×C37—24no—
207#121×C37—24no—
208C4×D4×C37—24no—
209C4×D4×C37—24no—
210C4×D4×C37—24no—
211C4×D4×C37—24no—
212#117×C37—42no—
213C2×C4⋊C4×C37—24no—
214C2×C4⋊C4×C37—42no—
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×C4⋊C4×C37C2311yescharacteristic
251C2×C22⋊C4×C37C2311yescharacteristic
252C2×C22⋊C4×C37C2311yescharacteristic
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×C42×C37—42no—
280C2×C42×C37—42no—
281C2×C42×C37C2311yescharacteristic
282C2×C42×C37C2311yescharacteristic
283C2×C42×C37C2311yescharacteristic
284C2×C42×C37C2311yescharacteristic
285C2×C42×C37C2311yescharacteristic
286C2×C42×C37C2311yescharacteristic
287C2×C42×C37C2311yescharacteristic
288C2×C42×C37C2311yescharacteristic
289C2×C42×C37C2311yescharacteristic
290C2×C42×C37C2311yescharacteristic
291C2×C42×C37C2311yescharacteristic
292C2×C42×C37C2311yescharacteristic
293C2×C42×C37C2311yescharacteristic
294C2×C42×C37C2311yescharacteristic
295C2×C42×C37C2311yescharacteristic
296C2×C42×C37C2311yescharacteristic
297#95×C37C2311yescharacteristic
298#95×C37C2311yescharacteristic
299#95×C37C2311yescharacteristic
300#95×C37C2311yescharacteristic
301#95×C37C2311yescharacteristic
302#95×C37C2311yescharacteristic
303#95×C37C2311yescharacteristic
304#95×C37C2311yescharacteristic
305#95×C37C2311yescharacteristic
306#95×C37C2311yescharacteristic
307#95×C37C2311yescharacteristic
308#95×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×C37C2411yescharacteristic
358C24×C37C2411yescharacteristic
359C24×C37C2411yescharacteristic
360C2×Q8×C37—22no—
361C2×Q8×C37—41no—
362C2×Q8×C37—41no—
363C2×D4×C37—22no—
364C2×D4×C37—22no—
365C2×D4×C37—22no—
366C2×D4×C37—22no—
367C2×D4×C37—22no—
368C2×D4×C37—22no—
369C2×D4×C37—41no—
370C2×D4×C37—41no—
371C2×D4×C37#4114yes—
372C22×C4×C37—22no—
373C22×C4×C37—22no—
374C22×C4×C37—22no—
375C22×C4×C37—22no—
376C22×C4×C37—22no—
377C22×C4×C37—22no—
378C22×C4×C37—22no—
379C22×C4×C37—22no—
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—41no—
401C22×C4×C37—41no—
402C22×C4×C37—41no—
403C22×C4×C37—41no—
404C22×C4×C37#4114yes—
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
428C22×C4×C37C2411yescharacteristic
429C22×C4×C37C2411yescharacteristic
430C22×C4×C37C2411yescharacteristic
431C22×C4×C37C2411yescharacteristic
432C22×C4×C37C2411yescharacteristic
433C4⋊C4×C37—22no—
434C4⋊C4×C37—22no—
435C4⋊C4×C37—22no—
436C4⋊C4×C37—22no—
437C4⋊C4×C37—22no—
438C4⋊C4×C37—22no—
439C4⋊C4×C37—22no—
440C4⋊C4×C37—22no—
441C4⋊C4×C37—22no—
442C4⋊C4×C37—22no—
443C4⋊C4×C37—22no—
444C4⋊C4×C37—22no—
445C4⋊C4×C37—22no—
446C4⋊C4×C37—22no—
447C4⋊C4×C37—22no—
448C4⋊C4×C37—22no—
449C4⋊C4×C37—22no—
450C4⋊C4×C37—22no—
451C4⋊C4×C37—22no—
452C4⋊C4×C37—22no—
453C4⋊C4×C37—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—
468C4⋊C4×C37—41no—
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—22no—
485C22⋊C4×C37—22no—
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#4114yes—
497C42×C37—22no—
498C42×C37—22no—
499C42×C37—22no—
500C42×C37—22no—
501C42×C37—22no—
502C42×C37—22no—
503C42×C37—22no—
504C42×C37—22no—
505C42×C37—41no—
506C42×C37—41no—
507C42×C37—41no—
508C42×C37—41no—
509C42×C37—41no—
510C42×C37—41no—
511C42×C37—41no—
512C42×C37—41no—
513C23×C37—21no—
514C23×C37—21no—
515C23×C37—21no—
516C23×C37—21no—
517C23×C37—21no—
518C23×C37—21no—
519C23×C37—21no—
520C23×C37—21no—
521C23×C37—21no—
522C23×C37—21no—
523C23×C37—21no—
524C23×C37—21no—
525C23×C37—21no—
526C23×C37—21no—
527C23×C37—21no—
528C23×C37—21no—
529C23×C37—21no—
530C23×C37C2×#4112yes—
531C23×C37C2×#4112yes—
532C23×C37C2×#4112yes—
533C23×C37C2×#4112yes—
534C23×C37C2511yescharacteristic
535Q8×C37—82no—
536D4×C37—28no—
537D4×C37—44no—
538D4×C37—82no—
539C2×C4×C37—21no—
540C2×C4×C37—21no—
541C2×C4×C37—21no—
542C2×C4×C37—21no—
543C2×C4×C37—21no—
544C2×C4×C37—21no—
545C2×C4×C37—21no—
546C2×C4×C37—21no—
547C2×C4×C37—21no—
548C2×C4×C37—21no—
549C2×C4×C37—21no—
550C2×C4×C37—21no—
551C2×C4×C37—21no—
552C2×C4×C37—21no—
553C2×C4×C37—21no—
554C2×C4×C37—21no—
555C2×C4×C37—21no—
556C2×C4×C37—21no—
557C2×C4×C37—21no—
558C2×C4×C37—21no—
559C2×C4×C37—21no—
560C2×C4×C37—21no—
561C2×C4×C37—21no—
562C2×C4×C37—21no—
563C2×C4×C37—21no—
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—44no—
617C2×C4×C37—44no—
618C2×C4×C37—44no—
619C2×C4×C37—44no—
620C2×C4×C37—44no—
621C2×C4×C37—44no—
622C2×C4×C37—44no—
623C2×C4×C37—44no—
624C2×C4×C37—44no—
625C2×C4×C37—82no—
626C2×C4×C37—82no—
627C2×C4×C37C2×#4112yes—
628C2×C4×C37C2×#4112yes—
629C2×C4×C37C2×#4112yes—
630C2×C4×C37C2×#4112yes—
631C2×C4×C37C2×#4112yes—
632C2×C4×C37H(5,𝔽2)12yes—
633C2×C4×C372−1+412yes—
634#35067C3711yesmaximal, characteristic, direct product factor, Sylow
635C22×C37—22no—
636C22×C37—22no—
637C22×C37—22no—
638C22×C37—22no—
639C22×C37—22no—
640C22×C37—22no—
641C22×C37—22no—
642C22×C37—22no—
643C22×C37—22no—
644C22×C37—41no—
645C22×C37—41no—
646C22×C37—41no—
647C22×C37—41no—
648C22×C37—41no—
649C22×C37—41no—
650C22×C37—41no—
651C22×C37—41no—
652C22×C37—41no—
653C22×C37—41no—
654C22×C37—41no—
655C22×C37#52914yes—
656C22×C37C22×#4111yescharacteristic
657C22×C37C22×#4111yescharacteristic
658C22×C37C22×#4111yescharacteristic
659C22×C37C2×H(5,𝔽2)11yescharacteristic
660C22×C37C2×2−1+411yescharacteristic
661C22×C37#58511yescharacteristic
662C22×C37#58511yescharacteristic
663C4×C37—22no—
664C4×C37—22no—
665C4×C37—22no—
666C4×C37—22no—
667C4×C37—22no—
668C4×C37—22no—
669C4×C37—22no—
670C4×C37—41no—
671C4×C37—41no—
672C4×C37—41no—
673C4×C37—41no—
674C4×C37—41no—
675C4×C37—41no—
676C4×C37—41no—
677C4×C37—41no—
678C4×C37—41no—
679C4×C37—41no—
680C4×C37—41no—
681C4×C37—41no—
682C4×C37—41no—
683C4×C37—41no—
684C4×C37—41no—
685C4×C37—41no—
686C4×C37—41no—
687C4×C37—41no—
688C4×C37—41no—
689C4×C37—41no—
690C4×C37—41no—
691#2866C2×C3711yescharacteristic, complemented
692#2863C2×C3711yescharacteristic, complemented
693#2853C2×C3711yescharacteristic, complemented
694#2851C2×C3711yescharacteristic, complemented
695#2655C2×C3711yescharacteristic, complemented
696#2654C2×C3711yescharacteristic, complemented
697#2653C2×C3711yescharacteristic, complemented
698#2652C2×C3711yescharacteristic, complemented
699#2590C2×C3711yescharacteristic, complemented
700#2589C2×C3711yescharacteristic, complemented
701#2578C2×C3711yescharacteristic, complemented
702#2577C2×C3711yescharacteristic, complemented
703#2528C2×C3711yescharacteristic, complemented
704#2527C2×C3711yescharacteristic, complemented
705#2510C2×C3711yescharacteristic, complemented
706#2493C2×C3711yescharacteristic, complemented
707#2488C2×C3711yescharacteristic, complemented
708#2475C2×C3711yescharacteristic, complemented
709#2473C2×C3711yescharacteristic, complemented
710#2470C2×C3711yescharacteristic, complemented
711#2450C2×C3711yescharacteristic, complemented
712#2443C2×C3711yescharacteristic
713#2425C2×C3711yescharacteristic
714#2419C2×C3711yescharacteristic, complemented
715#2329C2×C3711yescharacteristic, complemented
716#2325C2×C3711yescharacteristic
717#2322C2×C3711yescharacteristic, complemented
718#2322C2×C3711yescharacteristic, complemented
719#2290C2×C3711yescharacteristic, complemented
720C2×#387C2×C3711yescharacteristic, complemented
721C42×D4C2×C3711yescharacteristic, complemented
722C2×C37—24no—
723C2×C37—42no—
724C2×C37—81no—
725C2×C37C2×#52911yescharacteristic
726C2×C37#345911yescharacteristic
727C2×C37#346111yescharacteristic
728C2×C37#351311yescharacteristic
729C2×C37#351511yescharacteristic
730C2×C37#352011yescharacteristic
731C2×C37#352111yescharacteristic
732C2×#125C22×C3711yescharacteristic
733C2×#123C22×C3711yescharacteristic
734C2×#123C22×C3711yescharacteristic
735C2×#123C22×C3711yescharacteristic
736C2×C22⋊Q8C22×C3711yescharacteristic
737C2×#121C22×C3711yescharacteristic
738C2×C4×D4C22×C3711yescharacteristic
739C2×C4×D4C22×C3711yescharacteristic
740C2×C4×D4C22×C3711yescharacteristic
741C2×C4×D4C22×C3711yescharacteristic
742C2×#117C22×C3711yescharacteristic
743C22×C4⋊C4C22×C3711yescharacteristic
744C22×C4⋊C4C22×C3711yescharacteristic
745C22×C42C22×C3711yescharacteristic
746C22×C42C22×C3711yescharacteristic
747#401C22×C3711yescharacteristic
748#401C22×C3711yescharacteristic
749#400C22×C3711yescharacteristic
750#400C22×C3711yescharacteristic
751#400C22×C3711yescharacteristic
752#400C22×C3711yescharacteristic
753#400C22×C3711yescharacteristic
754#400C22×C3711yescharacteristic
755#400C22×C3711yescharacteristic
756#400C22×C3711yescharacteristic
757#400C22×C3711yescharacteristic
758#399C22×C3711yescharacteristic
759#398C22×C3711yescharacteristic
760#398C22×C3711yescharacteristic
761#398C22×C3711yescharacteristic
762#398C22×C3711yescharacteristic
763#398C22×C3711yescharacteristic
764#398C22×C3711yescharacteristic
765#398C22×C3711yescharacteristic
766#397C22×C3711yescharacteristic
767#397C22×C3711yescharacteristic
768#397C22×C3711yescharacteristic
769#397C22×C3711yescharacteristic
770#397C22×C3711yescharacteristic
771#397C22×C3711yescharacteristic
772#397C22×C3711yescharacteristic
773#396C22×C3711yescharacteristic
774#396C22×C3711yescharacteristic
775#394C22×C3711yescharacteristic
776#394C22×C3711yescharacteristic
777#393C22×C3711yescharacteristic
778#393C22×C3711yescharacteristic
779#391C22×C3711yescharacteristic
780#391C22×C3711yescharacteristic
781#391C22×C3711yescharacteristic
782#391C22×C3711yescharacteristic
783#389C22×C3711yescharacteristic
784#389C22×C3711yescharacteristic
785#389C22×C3711yescharacteristic
786#389C22×C3711yescharacteristic
787#389C22×C3711yescharacteristic
788#389C22×C3711yescharacteristic
789#389C22×C3711yescharacteristic
790#389C22×C3711yescharacteristic
791#388C22×C3711yescharacteristic
792#388C22×C3711yescharacteristic
793#388C22×C3711yescharacteristic
794#388C22×C3711yescharacteristic
795#388C22×C3711yescharacteristic
796#388C22×C3711yescharacteristic
797#388C22×C3711yescharacteristic
798#388C22×C3711yescharacteristic
799#388C22×C3711yescharacteristic
800#388C22×C3711yescharacteristic
801#388C22×C3711yescharacteristic
802#388C22×C3711yescharacteristic
803#388C22×C3711yescharacteristic
804#388C22×C3711yescharacteristic
805#387C22×C3711yescharacteristic
806#387C22×C3711yescharacteristic
807#387C22×C3711yescharacteristic
808#387C22×C3711yescharacteristic
809#387C22×C3711yescharacteristic
810#387C22×C3711yescharacteristic
811#387C22×C3711yescharacteristic
812#387C22×C3711yescharacteristic
813#387C22×C3711yescharacteristic
814#387C22×C3711yescharacteristic
815#387C22×C3711yescharacteristic
816#387C22×C3711yescharacteristic
817#387C22×C3711yescharacteristic
818#387C22×C3711yescharacteristic
819#387C22×C3711yescharacteristic
820#387C22×C3711yescharacteristic
821#387C22×C3711yescharacteristic
822#387C22×C3711yescharacteristic
823#387C22×C3711yescharacteristic
824#387C22×C3711yescharacteristic
825#387C22×C3711yescharacteristic
826#387C22×C3711yescharacteristic
827#387C22×C3711yescharacteristic
828#387C22×C3711yescharacteristic
829#387C22×C3711yescharacteristic
830#387C22×C3711yescharacteristic
831#387C22×C3711yescharacteristic
832#387C22×C3711yescharacteristic
833#387C22×C3711yescharacteristic
834#387C22×C3711yescharacteristic
835#386C22×C3711yescharacteristic
836#386C22×C3711yescharacteristic
837#386C22×C3711yescharacteristic
838#386C22×C3711yescharacteristic
839#386C22×C3711yescharacteristic
840#386C22×C3711yescharacteristic
841#386C22×C3711yescharacteristic
842#386C22×C3711yescharacteristic
843#386C22×C3711yescharacteristic
844#385C22×C3711yescharacteristic
845#385C22×C3711yescharacteristic
846#385C22×C3711yescharacteristic
847#385C22×C3711yescharacteristic
848#385C22×C3711yescharacteristic
849#385C22×C3711yescharacteristic
850#385C22×C3711yescharacteristic
851#385C22×C3711yescharacteristic
852#385C22×C3711yescharacteristic
853#385C22×C3711yescharacteristic
854#385C22×C3711yescharacteristic
855#385C22×C3711yescharacteristic
856#385C22×C3711yescharacteristic
857#385C22×C3711yescharacteristic
858#385C22×C3711yescharacteristic
859#383C22×C3711yescharacteristic
860#383C22×C3711yescharacteristic
861#382C22×C3711yescharacteristic
862#381C22×C3711yescharacteristic
863#381C22×C3711yescharacteristic
864#381C22×C3711yescharacteristic
865#380C22×C3711yescharacteristic
866#380C22×C3711yescharacteristic
867#380C22×C3711yescharacteristic
868#380C22×C3711yescharacteristic
869C4×C4⋊C4C22×C3711yescharacteristic
870C4×C4⋊C4C22×C3711yescharacteristic
871C4×C4⋊C4C22×C3711yescharacteristic
872C4×C4⋊C4C22×C3711yescharacteristic
873C4×C22⋊C4C22×C3711yescharacteristic
874C4×C22⋊C4C22×C3711yescharacteristic
875C4×C22⋊C4C22×C3711yescharacteristic
876C4×C22⋊C4C22×C3711yescharacteristic
877C4×C22⋊C4C22×C3711yescharacteristic
878C4×C22⋊C4C22×C3711yescharacteristic
879C4×C22⋊C4C22×C3711yescharacteristic
880C4×C22⋊C4C22×C3711yescharacteristic
881#376C22×C3711yescharacteristic
882C2×#95C22×C3711yescharacteristic
883C2×#95C22×C3711yescharacteristic
884C2×#95C22×C3711yescharacteristic
885C2×#95C22×C3711yescharacteristic
886C43C22×C3711yescharacteristic
887C37#3506711yescharacteristic, direct product factor, Sylow
888C22×Q8C23×C3711yescharacteristic
889C22×D4C23×C3711yescharacteristic
890C22×D4C23×C3711yescharacteristic
891C22×D4C23×C3711yescharacteristic
892C23×C4C23×C3711yescharacteristic
893C23×C4C23×C3711yescharacteristic
894C23×C4C23×C3711yescharacteristic
895C23×C4C23×C3711yescharacteristic
896C23×C4C23×C3711yescharacteristic
897C23×C4C23×C3711yescharacteristic
898C23×C4C23×C3711yescharacteristic
899C23×C4C23×C3711yescharacteristic
900C23×C4C23×C3711yescharacteristic
901C23×C4C23×C3711yescharacteristic
902C23×C4C23×C3711yescharacteristic
903#125—42no—
904#123—24no—
905#123—24no—
906#123—42no—
907C22⋊Q8—24no—
908#121—24no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—24no—
913#117—42no—
914C2×C4⋊C4—24no—
915C2×C4⋊C4—42no—
916C2×C4⋊C4C23×C3711yescharacteristic
917C2×C4⋊C4C23×C3711yescharacteristic
918C2×C4⋊C4C23×C3711yescharacteristic
919C2×C4⋊C4C23×C3711yescharacteristic
920C2×C4⋊C4C23×C3711yescharacteristic
921C2×C4⋊C4C23×C3711yescharacteristic
922C2×C4⋊C4C23×C3711yescharacteristic
923C2×C4⋊C4C23×C3711yescharacteristic
924C2×C4⋊C4C23×C3711yescharacteristic
925C2×C4⋊C4C23×C3711yescharacteristic
926C2×C4⋊C4C23×C3711yescharacteristic
927C2×C4⋊C4C23×C3711yescharacteristic
928C2×C4⋊C4C23×C3711yescharacteristic
929C2×C4⋊C4C23×C3711yescharacteristic
930C2×C4⋊C4C23×C3711yescharacteristic
931C2×C4⋊C4C23×C3711yescharacteristic
932C2×C4⋊C4C23×C3711yescharacteristic
933C2×C4⋊C4C23×C3711yescharacteristic
934C2×C4⋊C4C23×C3711yescharacteristic
935C2×C4⋊C4C23×C3711yescharacteristic
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×C22⋊C4C23×C3711yescharacteristic
953C2×C22⋊C4C23×C3711yescharacteristic
954C2×C22⋊C4C23×C3711yescharacteristic
955C2×C22⋊C4C23×C3711yescharacteristic
956C2×C22⋊C4C23×C3711yescharacteristic
957C2×C22⋊C4C23×C3711yescharacteristic
958C2×C22⋊C4C23×C3711yescharacteristic
959C2×C22⋊C4C23×C3711yescharacteristic
960C2×C22⋊C4C23×C3711yescharacteristic
961C2×C22⋊C4C23×C3711yescharacteristic
962C2×C22⋊C4C23×C3711yescharacteristic
963C2×C22⋊C4C23×C3711yescharacteristic
964C2×C22⋊C4C23×C3711yescharacteristic
965C2×C22⋊C4C23×C3711yescharacteristic
966C2×C22⋊C4C23×C3711yescharacteristic
967C2×C22⋊C4C23×C3711yescharacteristic
968C2×C22⋊C4C23×C3711yescharacteristic
969C2×C22⋊C4C23×C3711yescharacteristic
970C2×C22⋊C4C23×C3711yescharacteristic
971C2×C22⋊C4C23×C3711yescharacteristic
972C2×C22⋊C4C23×C3711yescharacteristic
973C2×C22⋊C4C23×C3711yescharacteristic
974C2×C22⋊C4C23×C3711yescharacteristic
975C2×C22⋊C4C23×C3711yescharacteristic
976C2×C22⋊C4C23×C3711yescharacteristic
977C2×C22⋊C4C23×C3711yescharacteristic
978C2×C22⋊C4C23×C3711yescharacteristic
979C2×C22⋊C4C23×C3711yescharacteristic
980C2×C42—42no—
981C2×C42—42no—
982C2×C42C23×C3711yescharacteristic
983C2×C42C23×C3711yescharacteristic
984C2×C42C23×C3711yescharacteristic
985C2×C42C23×C3711yescharacteristic
986C2×C42C23×C3711yescharacteristic
987C2×C42C23×C3711yescharacteristic
988C2×C42C23×C3711yescharacteristic
989C2×C42C23×C3711yescharacteristic
990C2×C42C23×C3711yescharacteristic
991C2×C42C23×C3711yescharacteristic
992C2×C42C23×C3711yescharacteristic
993C2×C42C23×C3711yescharacteristic
994C2×C42C23×C3711yescharacteristic
995C2×C42C23×C3711yescharacteristic
996C2×C42C23×C3711yescharacteristic
997C2×C42C23×C3711yescharacteristic
998#95C23×C3711yescharacteristic
999#95C23×C3711yescharacteristic
1000#95C23×C3711yescharacteristic
1001#95C23×C3711yescharacteristic
1002#95C23×C3711yescharacteristic
1003#95C23×C3711yescharacteristic
1004#95C23×C3711yescharacteristic
1005#95C23×C3711yescharacteristic
1006#95C23×C3711yescharacteristic
1007#95C23×C3711yescharacteristic
1008#95C23×C3711yescharacteristic
1009#95C23×C3711yescharacteristic
1010#95C23×C3711yescharacteristic
1011#95C23×C3711yescharacteristic
1012#95C23×C3711yescharacteristic
1013#95C23×C3711yescharacteristic
1014#95C23×C3711yescharacteristic
1015#95C23×C3711yescharacteristic
1016#95C23×C3711yescharacteristic
1017#95C23×C3711yescharacteristic
1018#95C23×C3711yescharacteristic
1019#95C23×C3711yescharacteristic
1020#95C23×C3711yescharacteristic
1021#95C23×C3711yescharacteristic
1022#95C23×C3711yescharacteristic
1023#95C23×C3711yescharacteristic
1024#95C23×C3711yescharacteristic
1025#95C23×C3711yescharacteristic
1026#95C23×C3711yescharacteristic
1027#95C23×C3711yescharacteristic
1028#95C23×C3711yescharacteristic
1029#95C23×C3711yescharacteristic
1030#95C23×C3711yescharacteristic
1031#95C23×C3711yescharacteristic
1032#95C23×C3711yescharacteristic
1033#95C23×C3711yescharacteristic
1034#95C23×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
1058C24C24×C3711yescharacteristic
1059C24C24×C3711yescharacteristic
1060C24C24×C3711yescharacteristic
1061C2×Q8—22no—
1062C2×Q8—41no—
1063C2×Q8—41no—
1064C2×D4—22no—
1065C2×D4—22no—
1066C2×D4—22no—
1067C2×D4—22no—
1068C2×D4—22no—
1069C2×D4—22no—
1070C2×D4—41no—
1071C2×D4—41no—
1072C2×D4#41×C3714yes—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4#41×C3714yes—
1106C22×C4C24×C3711yescharacteristic
1107C22×C4C24×C3711yescharacteristic
1108C22×C4C24×C3711yescharacteristic
1109C22×C4C24×C3711yescharacteristic
1110C22×C4C24×C3711yescharacteristic
1111C22×C4C24×C3711yescharacteristic
1112C22×C4C24×C3711yescharacteristic
1113C22×C4C24×C3711yescharacteristic
1114C22×C4C24×C3711yescharacteristic
1115C22×C4C24×C3711yescharacteristic
1116C22×C4C24×C3711yescharacteristic
1117C22×C4C24×C3711yescharacteristic
1118C22×C4C24×C3711yescharacteristic
1119C22×C4C24×C3711yescharacteristic
1120C22×C4C24×C3711yescharacteristic
1121C22×C4C24×C3711yescharacteristic
1122C22×C4C24×C3711yescharacteristic
1123C22×C4C24×C3711yescharacteristic
1124C22×C4C24×C3711yescharacteristic
1125C22×C4C24×C3711yescharacteristic
1126C22×C4C24×C3711yescharacteristic
1127C22×C4C24×C3711yescharacteristic
1128C22×C4C24×C3711yescharacteristic
1129C22×C4C24×C3711yescharacteristic
1130C22×C4C24×C3711yescharacteristic
1131C22×C4C24×C3711yescharacteristic
1132C22×C4C24×C3711yescharacteristic
1133C22×C4C24×C3711yescharacteristic
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—22no—
1139C4⋊C4—22no—
1140C4⋊C4—22no—
1141C4⋊C4—22no—
1142C4⋊C4—22no—
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4—22no—
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—22no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
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—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—22no—
1175C22⋊C4—22no—
1176C22⋊C4—22no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—22no—
1181C22⋊C4—22no—
1182C22⋊C4—22no—
1183C22⋊C4—22no—
1184C22⋊C4—22no—
1185C22⋊C4—22no—
1186C22⋊C4—22no—
1187C22⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4#41×C3714yes—
1198C42—22no—
1199C42—22no—
1200C42—22no—
1201C42—22no—
1202C42—22no—
1203C42—22no—
1204C42—22no—
1205C42—22no—
1206C42—41no—
1207C42—41no—
1208C42—41no—
1209C42—41no—
1210C42—41no—
1211C42—41no—
1212C42—41no—
1213C42—41no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23C2×#41×C3712yes—
1232C23C2×#41×C3712yes—
1233C23C2×#41×C3712yes—
1234C23C2×#41×C3712yes—
1235C23C25×C3711yescharacteristic
1236Q8—82no—
1237D4—28no—
1238D4—44no—
1239D4—82no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
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—44no—
1318C2×C4—44no—
1319C2×C4—44no—
1320C2×C4—44no—
1321C2×C4—44no—
1322C2×C4—44no—
1323C2×C4—44no—
1324C2×C4—44no—
1325C2×C4—44no—
1326C2×C4—82no—
1327C2×C4—82no—
1328C2×C4C2×#41×C3712yes—
1329C2×C4C2×#41×C3712yes—
1330C2×C4C2×#41×C3712yes—
1331C2×C4C2×#41×C3712yes—
1332C2×C4C2×#41×C3712yes—
1333C2×C4H(5,𝔽2)×C3712yes—
1334C2×C42−1+4×C3712yes—
1335C22—22no—
1336C22—22no—
1337C22—22no—
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—22no—
1342C22—22no—
1343C22—22no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22C37×#52914yes—
1356C22C22×#41×C3711yescharacteristic
1357C22C22×#41×C3711yescharacteristic
1358C22C22×#41×C3711yescharacteristic
1359C22C2×H(5,𝔽2)×C3711yescharacteristic
1360C22C2×2−1+4×C3711yescharacteristic
1361C22C37×#58511yescharacteristic
1362C22C37×#58511yescharacteristic
1363C4—22no—
1364C4—22no—
1365C4—22no—
1366C4—22no—
1367C4—22no—
1368C4—22no—
1369C4—22no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—41no—
1390C4—41no—
1391C2—24no—
1392C2—42no—
1393C2—81no—
1394C2C2×C37×#52911yescharacteristic
1395C2C37×#345911yescharacteristic
1396C2C37×#346111yescharacteristic
1397C2C37×#351311yescharacteristic
1398C2C37×#351511yescharacteristic
1399C2C37×#352011yescharacteristic
1400C2C37×#352111yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutator, Frattini, cosocleC23C25×C37
prime radicalC2×#121×C37C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#2866C2semidirect
2. C37×#2863C2semidirect
3. C37×#2853C2semidirect
4. C37×#2851C2semidirect
5. C37×#2655C2semidirect
6. C37×#2654C2semidirect
7. C37×#2653C2semidirect
8. C37×#2652C2semidirect
9. C37×#2590C2semidirect
10. C37×#2589C2semidirect
11. C37×#2578C2semidirect
12. C37×#2577C2semidirect
13. C37×#2528C2semidirect
14. C37×#2527C2semidirect
15. C37×#2510C2semidirect
16. C37×#2493C2semidirect
17. C37×#2488C2semidirect
18. C37×#2475C2semidirect
19. C37×#2473C2semidirect
20. C37×#2470C2semidirect
21. C37×#2450C2semidirect
24. C37×#2419C2semidirect
25. C37×#2329C2semidirect
27. C37×#2322C2semidirect
28. C37×#2322C2semidirect
29. C37×#2290C2semidirect
30. C2×C37×#387C2semidirect
31. C42×D4×C37C2semidirect
634. #35067C37direct (N × H)
691. #2866C2×C37semidirect
692. #2863C2×C37semidirect
693. #2853C2×C37semidirect
694. #2851C2×C37semidirect
695. #2655C2×C37semidirect
696. #2654C2×C37semidirect
697. #2653C2×C37semidirect
698. #2652C2×C37semidirect
699. #2590C2×C37semidirect
700. #2589C2×C37semidirect
701. #2578C2×C37semidirect
702. #2577C2×C37semidirect
703. #2528C2×C37semidirect
704. #2527C2×C37semidirect
705. #2510C2×C37semidirect
706. #2493C2×C37semidirect
707. #2488C2×C37semidirect
708. #2475C2×C37semidirect
709. #2473C2×C37semidirect
710. #2470C2×C37semidirect
711. #2450C2×C37semidirect
714. #2419C2×C37semidirect
715. #2329C2×C37semidirect
717. #2322C2×C37semidirect
718. #2322C2×C37semidirect
719. #2290C2×C37semidirect
720. C2×#387C2×C37semidirect
721. C42×D4C2×C37semidirect
887. C37#35067direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#28662
C37×#28632
C37×#28532
C37×#28512
C37×#26552
C37×#26542
C37×#26532
C37×#26522
C37×#25902
C37×#25892
C37×#25782
C37×#25772
C37×#25282
C37×#25272
C37×#25102
C37×#24932
C37×#24882
C37×#24752
C37×#24732
C37×#24702
C37×#24502
C37×#24432
C37×#24252
C37×#24192
C37×#23292
C37×#23252
C37×#23222
C37×#22902
C2×C37×#3872
C42×D4×C372
#3506737