Finite Group Databasebeta

← C37×#36791 #22658044

Subgroups — C37×#36791 #22658044

Order 9472.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2849C211yesmaximal, characteristic, complemented
2C37×#2847C211yesmaximal, characteristic, complemented
3C37×#2804C211yesmaximal, characteristic, complemented
4C37×#2797C211yesmaximal, characteristic, complemented
5C37×#2788C211yesmaximal, characteristic, complemented
6C37×#2784C211yesmaximal, characteristic, complemented
7C37×#2780C211yesmaximal, characteristic, complemented
8C37×#2778C211yesmaximal, characteristic, complemented
9C37×#2751C211yesmaximal, characteristic, complemented
10C37×#2750C211yesmaximal, characteristic, complemented
11C37×#2745C211yesmaximal, characteristic, complemented
12C37×#2714C211yesmaximal, characteristic, complemented
13C37×#2710C211yesmaximal, characteristic, complemented
14C37×#2708C211yesmaximal, characteristic, complemented
15C37×#2708C211yesmaximal, characteristic, complemented
16C37×#2695C211yesmaximal, characteristic, complemented
17C37×#2686C211yesmaximal, characteristic, complemented
18C37×#2682C211yesmaximal, characteristic, complemented
19C37×#2643C211yesmaximal, characteristic, complemented
20C37×#2639C211yesmaximal, characteristic, complemented
21C37×#2481C211yesmaximal, characteristic, complemented
22C37×#2472C211yesmaximal, characteristic, complemented
23C37×#2443C211yesmaximal, characteristic, complemented
24C37×#2438C211yesmaximal, characteristic, complemented
25C37×#2430C211yesmaximal, characteristic, complemented
26C37×#2424C211yesmaximal, characteristic, complemented
27C37×#2411C211yesmaximal, characteristic, complemented
28C37×#2404C211yesmaximal, characteristic, complemented
29C37×#2322C211yesmaximal, characteristic, complemented
30C37×#2311C211yesmaximal, characteristic, complemented
31C2×C37×#385C211yesmaximal, characteristic, complemented
32C22×#41×C37C2211yescharacteristic
33C24×C4×C37C2211yescharacteristic
34C2×#126×C37C2211yescharacteristic, complemented
35C2×#124×C37C2211yescharacteristic
36C2×#123×C37C2211yescharacteristic
37C2×#123×C37C2211yescharacteristic
38C2×#123×C37C2211yescharacteristic
39C2×#123×C37C2211yescharacteristic, complemented
40C2×C22⋊Q8×C37C2211yescharacteristic
41C2×#121×C37C2211yescharacteristic
42C2×#121×C37C2211yescharacteristic
43C2×#121×C37C2211yescharacteristic
44C2×#121×C37C2211yescharacteristic
45C2×#121×C37C2211yescharacteristic
46C2×#120×C37C2211yescharacteristic
47C2×#120×C37C2211yescharacteristic
48C2×#120×C37C2211yescharacteristic
49C2×C4×D4×C37C2211yescharacteristic
50C2×#117×C37C2211yescharacteristic
51C22×C4⋊C4×C37C2211yescharacteristic
52C22×C4⋊C4×C37C2211yescharacteristic
53C22×C22⋊C4×C37C2211yescharacteristic
54C22×C22⋊C4×C37C2211yescharacteristic
55C37×#401C2211yescharacteristic, complemented
56C37×#400C2211yescharacteristic, complemented
57C37×#400C2211yescharacteristic, complemented
58C37×#400C2211yescharacteristic, complemented
59C37×#400C2211yescharacteristic, complemented
60C37×#400C2211yescharacteristic, complemented
61C37×#400C2211yescharacteristic, complemented
62C37×#400C2211yescharacteristic, complemented
63C37×#400C2211yescharacteristic, complemented
64C37×#399C2211yescharacteristic, complemented
65C37×#398C2211yescharacteristic, complemented
66C37×#398C2211yescharacteristic, complemented
67C37×#398C2211yescharacteristic, complemented
68C37×#397C2211yescharacteristic
69C37×#397C2211yescharacteristic, complemented
70C37×#397C2211yescharacteristic, complemented
71C37×#397C2211yescharacteristic, complemented
72C37×#397C2211yescharacteristic, complemented
73C37×#397C2211yescharacteristic, complemented
74C37×#397C2211yescharacteristic, complemented
75C37×#397C2211yescharacteristic, complemented
76C37×#396C2211yescharacteristic
77C37×#396C2211yescharacteristic
78C37×#396C2211yescharacteristic
79C37×#396C2211yescharacteristic, complemented
80C37×#396C2211yescharacteristic, complemented
81C37×#395C2211yescharacteristic, complemented
82C37×#395C2211yescharacteristic, complemented
83C37×#394C2211yescharacteristic
84C37×#394C2211yescharacteristic
85C37×#394C2211yescharacteristic
86C37×#394C2211yescharacteristic
87C37×#394C2211yescharacteristic
88C37×#394C2211yescharacteristic
89C37×#394C2211yescharacteristic, complemented
90C37×#394C2211yescharacteristic, complemented
91C37×#394C2211yescharacteristic, complemented
92C37×#394C2211yescharacteristic, complemented
93C37×#393C2211yescharacteristic
94C37×#393C2211yescharacteristic
95C37×#393C2211yescharacteristic
96C37×#393C2211yescharacteristic, complemented
97C37×#393C2211yescharacteristic, complemented
98C37×#393C2211yescharacteristic, complemented
99C37×#392C2211yescharacteristic
100C37×#392C2211yescharacteristic
101C37×#392C2211yescharacteristic
102C37×#392C2211yescharacteristic, complemented
103C37×#391C2211yescharacteristic, complemented
104C37×#391C2211yescharacteristic, complemented
105C37×#391C2211yescharacteristic, complemented
106C37×#390C2211yescharacteristic
107C37×#390C2211yescharacteristic
108C37×#390C2211yescharacteristic
109C37×#390C2211yescharacteristic
110C37×#390C2211yescharacteristic, complemented
111C37×#390C2211yescharacteristic, complemented
112C37×#389C2211yescharacteristic, complemented
113C37×#389C2211yescharacteristic, complemented
114C37×#389C2211yescharacteristic, complemented
115C37×#388C2211yescharacteristic
116C37×#388C2211yescharacteristic
117C37×#388C2211yescharacteristic
118C37×#388C2211yescharacteristic
119C37×#388C2211yescharacteristic
120C37×#388C2211yescharacteristic, complemented
121C37×#388C2211yescharacteristic, complemented
122C37×#388C2211yescharacteristic, complemented
123C37×#388C2211yescharacteristic, complemented
124C37×#387C2211yescharacteristic, complemented
125C37×#387C2211yescharacteristic, complemented
126C37×#387C2211yescharacteristic, complemented
127C37×#387C2211yescharacteristic, complemented
128C37×#387C2211yescharacteristic, complemented
129C37×#387C2211yescharacteristic, complemented
130C37×#387C2211yescharacteristic, complemented
131C37×#386C2211yescharacteristic
132C37×#386C2211yescharacteristic
133C37×#386C2211yescharacteristic
134C37×#386C2211yescharacteristic
135C37×#386C2211yescharacteristic
136C37×#386C2211yescharacteristic
137C37×#386C2211yescharacteristic
138C37×#386C2211yescharacteristic
139C37×#386C2211yescharacteristic
140C37×#386C2211yescharacteristic
141C37×#386C2211yescharacteristic
142C37×#386C2211yescharacteristic
143C37×#386C2211yescharacteristic
144C37×#386C2211yescharacteristic
145C37×#386C2211yescharacteristic
146C37×#386C2211yescharacteristic
147C37×#386C2211yescharacteristic
148C37×#386C2211yescharacteristic
149C37×#386C2211yescharacteristic
150C37×#386C2211yescharacteristic
151C37×#386C2211yescharacteristic
152C37×#386C2211yescharacteristic, complemented
153C37×#386C2211yescharacteristic, complemented
154C37×#385C2211yescharacteristic
155C37×#385C2211yescharacteristic
156C37×#385C2211yescharacteristic
157C37×#385C2211yescharacteristic
158C37×#385C2211yescharacteristic
159C37×#385C2211yescharacteristic
160C37×#385C2211yescharacteristic
161C37×#385C2211yescharacteristic
162C37×#385C2211yescharacteristic
163C37×#385C2211yescharacteristic
164C37×#385C2211yescharacteristic
165C37×#385C2211yescharacteristic
166C37×#385C2211yescharacteristic
167C37×#385C2211yescharacteristic
168C37×#385C2211yescharacteristic, complemented
169C37×#385C2211yescharacteristic, complemented
170C37×#385C2211yescharacteristic, complemented
171C37×#385C2211yescharacteristic, complemented
172C37×#385C2211yescharacteristic, complemented
173C37×#381C2211yescharacteristic
174C37×#381C2211yescharacteristic
175C37×#381C2211yescharacteristic
176C37×#380C2211yescharacteristic
177C37×#380C2211yescharacteristic
178C37×#380C2211yescharacteristic
179C37×#380C2211yescharacteristic, complemented
180C37×#380C2211yescharacteristic, complemented
181C37×#380C2211yescharacteristic, complemented
182C37×#380C2211yescharacteristic, complemented
183C37×#379C2211yescharacteristic
184C4×C22⋊C4×C37C2211yescharacteristic
185C2×#95×C37C2211yescharacteristic
186C2×#95×C37C2211yescharacteristic
187C25×C37C2311yescharacteristic
188C2×#41×C37—24no—
189C2×#41×C37—42no—
190C2×#41×C37—42no—
191C22×Q8×C37C2311yescharacteristic
192C22×Q8×C37C2311yescharacteristic
193C22×D4×C37C2311yescharacteristic
194C22×D4×C37C2311yescharacteristic
195C22×D4×C37C2311yescharacteristic
196C22×D4×C37C2311yescharacteristic
197C22×D4×C37C2311yescharacteristic
198C22×D4×C37C2311yescharacteristic
199C22×D4×C37C2311yescharacteristic
200C22×D4×C37C2311yescharacteristic
201C22×D4×C37C2311yescharacteristic
202C22×D4×C37C2311yescharacteristic
203C22×D4×C37C2311yescharacteristic
204C22×D4×C37C2311yescharacteristic
205C23×C4×C37—42no—
206C23×C4×C37—42no—
207C23×C4×C37—42no—
208C23×C4×C37C2311yescharacteristic
209C23×C4×C37C2311yescharacteristic
210C23×C4×C37C2311yescharacteristic
211C23×C4×C37C2311yescharacteristic
212C23×C4×C37C2311yescharacteristic
213C23×C4×C37C2311yescharacteristic
214C23×C4×C37C2311yescharacteristic
215C23×C4×C37C2311yescharacteristic
216C23×C4×C37C2311yescharacteristic
217C23×C4×C37C2311yescharacteristic
218C23×C4×C37C2311yescharacteristic
219C23×C4×C37C2311yescharacteristic
220C23×C4×C37C2311yescharacteristic
221#126×C37—42no—
222#124×C37—42no—
223#123×C37—24no—
224#123×C37—42no—
225#123×C37—42no—
226#123×C37—42no—
227C22⋊Q8×C37—42no—
228#121×C37—42no—
229#121×C37—42no—
230#121×C37—42no—
231#121×C37—42no—
232#121×C37—42no—
233#120×C37—42no—
234#120×C37—42no—
235#120×C37—42no—
236C4×D4×C37—42no—
237#117×C37—42no—
238C2×C4⋊C4×C37—42no—
239C2×C4⋊C4×C37—42no—
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×C4⋊C4×C37C2311yescharacteristic
266C2×C4⋊C4×C37C2311yescharacteristic
267C2×C4⋊C4×C37C2311yescharacteristic
268C2×C22⋊C4×C37—24no—
269C2×C22⋊C4×C37—42no—
270C2×C22⋊C4×C37C2311yescharacteristic
271C2×C22⋊C4×C37C2311yescharacteristic
272C2×C22⋊C4×C37C2311yescharacteristic
273C2×C22⋊C4×C37C2311yescharacteristic
274C2×C22⋊C4×C37C2311yescharacteristic
275C2×C22⋊C4×C37C2311yescharacteristic
276C2×C22⋊C4×C37C2311yescharacteristic
277C2×C22⋊C4×C37C2311yescharacteristic
278C2×C22⋊C4×C37C2311yescharacteristic
279C2×C22⋊C4×C37C2311yescharacteristic
280C2×C22⋊C4×C37C2311yescharacteristic
281C2×C22⋊C4×C37C2311yescharacteristic
282C2×C22⋊C4×C37C2311yescharacteristic
283C2×C22⋊C4×C37C2311yescharacteristic
284C2×C22⋊C4×C37C2311yescharacteristic
285C2×C22⋊C4×C37C2311yescharacteristic
286C2×C22⋊C4×C37C2311yescharacteristic
287C2×C22⋊C4×C37C2311yescharacteristic
288C2×C22⋊C4×C37C2311yescharacteristic
289C2×C22⋊C4×C37C2311yescharacteristic
290C2×C22⋊C4×C37C2311yescharacteristic
291C2×C22⋊C4×C37C2311yescharacteristic
292C2×C22⋊C4×C37C2311yescharacteristic
293C2×C22⋊C4×C37C2311yescharacteristic
294C2×C22⋊C4×C37C2311yescharacteristic
295C2×C22⋊C4×C37C2311yescharacteristic
296C2×C22⋊C4×C37C2311yescharacteristic
297C2×C22⋊C4×C37C2311yescharacteristic
298C2×C22⋊C4×C37C2311yescharacteristic
299C2×C22⋊C4×C37C2311yescharacteristic
300C2×C22⋊C4×C37C2311yescharacteristic
301C2×C22⋊C4×C37C2311yescharacteristic
302C2×C22⋊C4×C37C2311yescharacteristic
303C2×C22⋊C4×C37C2311yescharacteristic
304C2×C22⋊C4×C37C2311yescharacteristic
305C2×C22⋊C4×C37C2311yescharacteristic
306C2×C22⋊C4×C37C2311yescharacteristic
307C2×C22⋊C4×C37C2311yescharacteristic
308C2×C22⋊C4×C37C2311yescharacteristic
309C2×C22⋊C4×C37C2311yescharacteristic
310C2×C22⋊C4×C37C2311yescharacteristic
311C2×C22⋊C4×C37C2311yescharacteristic
312C2×C22⋊C4×C37C2311yescharacteristic
313C2×C22⋊C4×C37C2311yescharacteristic
314C2×C22⋊C4×C37C2311yescharacteristic
315C2×C22⋊C4×C37C2311yescharacteristic
316C2×C22⋊C4×C37C2311yescharacteristic
317C2×C22⋊C4×C37C2311yescharacteristic
318C2×C22⋊C4×C37C2311yescharacteristic
319C2×C22⋊C4×C37C2311yescharacteristic
320C2×C42×C37C2311yescharacteristic
321C2×C42×C37C2311yescharacteristic
322C2×C42×C37C2311yescharacteristic
323C2×C42×C37C2311yescharacteristic
324C2×C42×C37C2311yescharacteristic
325#95×C37C2311yescharacteristic
326#95×C37C2311yescharacteristic
327#95×C37C2311yescharacteristic
328#95×C37C2311yescharacteristic
329#95×C37C2311yescharacteristic
330#95×C37C2311yescharacteristic
331#95×C37C2311yescharacteristic
332#95×C37C2311yescharacteristic
333#95×C37C2311yescharacteristic
334#95×C37C2311yescharacteristic
335#95×C37C2311yescharacteristic
336#95×C37C2311yescharacteristic
337#95×C37C2311yescharacteristic
338#95×C37C2311yescharacteristic
339#95×C37C2311yescharacteristic
340#95×C37C2311yescharacteristic
341#95×C37C2311yescharacteristic
342#95×C37C2311yescharacteristic
343#95×C37C2311yescharacteristic
344#95×C37C2311yescharacteristic
345#95×C37C2311yescharacteristic
346#95×C37C2311yescharacteristic
347#95×C37C2311yescharacteristic
348#95×C37C2311yescharacteristic
349#95×C37C2311yescharacteristic
350#95×C37C2311yescharacteristic
351#95×C37C2311yescharacteristic
352#95×C37C2311yescharacteristic
353#95×C37C2311yescharacteristic
354#95×C37C2311yescharacteristic
355#95×C37C2311yescharacteristic
356#95×C37C2311yescharacteristic
357#95×C37C2311yescharacteristic
358#95×C37C2311yescharacteristic
359#95×C37C2311yescharacteristic
360#95×C37C2311yescharacteristic
361#95×C37C2311yescharacteristic
362#95×C37C2311yescharacteristic
363#95×C37C2311yescharacteristic
364#95×C37C2311yescharacteristic
365#95×C37C2311yescharacteristic
366#95×C37C2311yescharacteristic
367#95×C37C2311yescharacteristic
368#95×C37C2311yescharacteristic
369C24×C37—22no—
370C24×C37—22no—
371C24×C37—22no—
372C24×C37—22no—
373C24×C37—22no—
374C24×C37—41no—
375C24×C37—41no—
376C24×C37C2411yescharacteristic
377C24×C37C2411yescharacteristic
378C24×C37C2411yescharacteristic
379C24×C37C2411yescharacteristic
380C24×C37C2411yescharacteristic
381C24×C37C2411yescharacteristic
382#41×C37—416no—
383C2×Q8×C37—22no—
384C2×Q8×C37—41no—
385C2×Q8×C37—41no—
386C2×Q8×C37—41no—
387C2×Q8×C37—41no—
388C2×Q8×C37—41no—
389C2×D4×C37—22no—
390C2×D4×C37—22no—
391C2×D4×C37—22no—
392C2×D4×C37—22no—
393C2×D4×C37—22no—
394C2×D4×C37—22no—
395C2×D4×C37—22no—
396C2×D4×C37—22no—
397C2×D4×C37—22no—
398C2×D4×C37—22no—
399C2×D4×C37—22no—
400C2×D4×C37—22no—
401C2×D4×C37—22no—
402C2×D4×C37—22no—
403C2×D4×C37—22no—
404C2×D4×C37—22no—
405C2×D4×C37—22no—
406C2×D4×C37—41no—
407C2×D4×C37—41no—
408C2×D4×C37—41no—
409C2×D4×C37—41no—
410C2×D4×C37—41no—
411C2×D4×C37—41no—
412C2×D4×C37—41no—
413C2×D4×C37—41no—
414C2×D4×C37—41no—
415C2×D4×C37—41no—
416C2×D4×C37—41no—
417C2×D4×C37—41no—
418C2×D4×C37—41no—
419C2×D4×C37—41no—
420C2×D4×C37—41no—
421C2×D4×C37—41no—
422C2×D4×C37—41no—
423C2×D4×C37—41no—
424C2×D4×C37—41no—
425C22×C4×C37—22no—
426C22×C4×C37—22no—
427C22×C4×C37—22no—
428C22×C4×C37—22no—
429C22×C4×C37—22no—
430C22×C4×C37—22no—
431C22×C4×C37—22no—
432C22×C4×C37—22no—
433C22×C4×C37—22no—
434C22×C4×C37—22no—
435C22×C4×C37—22no—
436C22×C4×C37—22no—
437C22×C4×C37—22no—
438C22×C4×C37—22no—
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×C37—41no—
446C22×C4×C37—41no—
447C22×C4×C37—41no—
448C22×C4×C37—41no—
449C22×C4×C37—41no—
450C22×C4×C37—41no—
451C22×C4×C37—41no—
452C22×C4×C37—41no—
453C22×C4×C37—41no—
454C22×C4×C37—41no—
455C22×C4×C37—41no—
456C22×C4×C37—41no—
457C22×C4×C37—41no—
458C22×C4×C37—41no—
459C22×C4×C37—41no—
460C22×C4×C37—41no—
461C22×C4×C37—41no—
462C22×C4×C37—41no—
463C22×C4×C37—416no—
464C22×C4×C37#4114yes—
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
476C22×C4×C37C2411yescharacteristic
477C22×C4×C37C2411yescharacteristic
478C22×C4×C37C2411yescharacteristic
479C22×C4×C37C2411yescharacteristic
480C22×C4×C37C2411yescharacteristic
481C22×C4×C37C2411yescharacteristic
482C22×C4×C37C2411yescharacteristic
483C22×C4×C37C2411yescharacteristic
484C22×C4×C37C2411yescharacteristic
485C22×C4×C37C2411yescharacteristic
486C22×C4×C37C2411yescharacteristic
487C22×C4×C37C2411yescharacteristic
488C22×C4×C37C2411yescharacteristic
489C22×C4×C37C2411yescharacteristic
490C4⋊C4×C37—22no—
491C4⋊C4×C37—22no—
492C4⋊C4×C37—22no—
493C4⋊C4×C37—22no—
494C4⋊C4×C37—22no—
495C4⋊C4×C37—22no—
496C4⋊C4×C37—41no—
497C4⋊C4×C37—41no—
498C4⋊C4×C37—41no—
499C4⋊C4×C37—41no—
500C4⋊C4×C37—41no—
501C4⋊C4×C37—41no—
502C4⋊C4×C37—41no—
503C4⋊C4×C37—41no—
504C4⋊C4×C37—41no—
505C4⋊C4×C37—41no—
506C4⋊C4×C37—41no—
507C4⋊C4×C37—41no—
508C4⋊C4×C37—41no—
509C4⋊C4×C37—41no—
510C4⋊C4×C37—41no—
511C4⋊C4×C37—41no—
512C4⋊C4×C37—41no—
513C4⋊C4×C37—41no—
514C4⋊C4×C37—41no—
515C4⋊C4×C37—41no—
516C4⋊C4×C37—41no—
517C4⋊C4×C37—41no—
518C22⋊C4×C37—22no—
519C22⋊C4×C37—22no—
520C22⋊C4×C37—22no—
521C22⋊C4×C37—22no—
522C22⋊C4×C37—22no—
523C22⋊C4×C37—22no—
524C22⋊C4×C37—22no—
525C22⋊C4×C37—22no—
526C22⋊C4×C37—22no—
527C22⋊C4×C37—22no—
528C22⋊C4×C37—22no—
529C22⋊C4×C37—22no—
530C22⋊C4×C37—22no—
531C22⋊C4×C37—22no—
532C22⋊C4×C37—22no—
533C22⋊C4×C37—22no—
534C22⋊C4×C37—41no—
535C22⋊C4×C37—41no—
536C22⋊C4×C37—41no—
537C22⋊C4×C37—41no—
538C22⋊C4×C37—41no—
539C22⋊C4×C37—41no—
540C22⋊C4×C37—41no—
541C22⋊C4×C37—41no—
542C22⋊C4×C37—41no—
543C22⋊C4×C37—41no—
544C22⋊C4×C37—41no—
545C22⋊C4×C37—41no—
546C22⋊C4×C37—41no—
547C22⋊C4×C37—41no—
548C22⋊C4×C37—41no—
549C22⋊C4×C37—41no—
550C22⋊C4×C37—41no—
551C22⋊C4×C37—41no—
552C22⋊C4×C37—41no—
553C22⋊C4×C37—41no—
554C22⋊C4×C37—41no—
555C22⋊C4×C37—41no—
556C22⋊C4×C37—41no—
557C22⋊C4×C37—41no—
558C22⋊C4×C37—41no—
559C22⋊C4×C37—41no—
560C22⋊C4×C37—41no—
561C22⋊C4×C37—41no—
562C22⋊C4×C37—41no—
563C22⋊C4×C37—41no—
564C22⋊C4×C37—41no—
565C22⋊C4×C37—41no—
566C22⋊C4×C37—41no—
567C22⋊C4×C37—41no—
568C42×C37—41no—
569C42×C37—41no—
570C42×C37—41no—
571C42×C37—41no—
572C42×C37—41no—
573C23×C37—21no—
574C23×C37—21no—
575C23×C37—21no—
576C23×C37—21no—
577C23×C37—28no—
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×C37—21no—
593C23×C37—21no—
594C23×C37—21no—
595C23×C37—21no—
596C23×C37—21no—
597C23×C37—21no—
598C23×C37—21no—
599C23×C37—21no—
600C23×C37—21no—
601C23×C37—21no—
602C23×C37—21no—
603C23×C37—21no—
604C23×C37—21no—
605C23×C37—21no—
606C23×C37—21no—
607C23×C37—21no—
608C23×C37—21no—
609C23×C37—21no—
610C23×C37—21no—
611C23×C37—44no—
612C23×C37—44no—
613C23×C37—44no—
614C23×C37—44no—
615C23×C37—44no—
616C23×C37—44no—
617C23×C37C2×#4112yes—
618C23×C37H(5,𝔽2)12yes—
619C23×C37H(5,𝔽2)12yes—
620C23×C37H(5,𝔽2)12yes—
621C23×C372−1+412yes—
622C23×C37C2511yescharacteristic
623Q8×C37—44no—
624Q8×C37—82no—
625D4×C37—44no—
626D4×C37—44no—
627D4×C37—44no—
628D4×C37—44no—
629D4×C37—82no—
630D4×C37—82no—
631D4×C37—82no—
632D4×C37—82no—
633D4×C37—82no—
634D4×C37—82no—
635D4×C37—82no—
636D4×C37—82no—
637C2×C4×C37—28no—
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—21no—
675C2×C4×C37—21no—
676C2×C4×C37—21no—
677C2×C4×C37—21no—
678C2×C4×C37—21no—
679C2×C4×C37—21no—
680C2×C4×C37—21no—
681C2×C4×C37—21no—
682C2×C4×C37—21no—
683C2×C4×C37—21no—
684C2×C4×C37—21no—
685C2×C4×C37—21no—
686C2×C4×C37—21no—
687C2×C4×C37—21no—
688C2×C4×C37—21no—
689C2×C4×C37—21no—
690C2×C4×C37—21no—
691C2×C4×C37—21no—
692C2×C4×C37—21no—
693C2×C4×C37—21no—
694C2×C4×C37—21no—
695C2×C4×C37—21no—
696C2×C4×C37—21no—
697C2×C4×C37—21no—
698C2×C4×C37—21no—
699C2×C4×C37—21no—
700C2×C4×C37—21no—
701C2×C4×C37—21no—
702C2×C4×C37—21no—
703C2×C4×C37—21no—
704C2×C4×C37—21no—
705C2×C4×C37—21no—
706C2×C4×C37—21no—
707C2×C4×C37—21no—
708C2×C4×C37—21no—
709C2×C4×C37—21no—
710C2×C4×C37—44no—
711C2×C4×C37—44no—
712C2×C4×C37—44no—
713C2×C4×C37—44no—
714C2×C4×C37—44no—
715C2×C4×C37—44no—
716C2×C4×C37—44no—
717C2×C4×C37—44no—
718C2×C4×C37—44no—
719C2×C4×C37—82no—
720C2×C4×C37—82no—
721C2×C4×C37—82no—
722C2×C4×C37C2×#4112yes—
723C2×C4×C37C2×#4112yes—
724C2×C4×C37H(5,𝔽2)12yes—
725#36791C3711yesmaximal, characteristic, direct product factor, Sylow
726C22×C37—22no—
727C22×C37—22no—
728C22×C37—22no—
729C22×C37—22no—
730C22×C37—22no—
731C22×C37—22no—
732C22×C37—22no—
733C22×C37—22no—
734C22×C37—22no—
735C22×C37—22no—
736C22×C37—22no—
737C22×C37—22no—
738C22×C37—416no—
739C22×C37—41no—
740C22×C37—41no—
741C22×C37—41no—
742C22×C37—41no—
743C22×C37—41no—
744C22×C37—41no—
745C22×C37—41no—
746C22×C37—41no—
747C22×C37—41no—
748C22×C37—41no—
749C22×C37—41no—
750C22×C37—41no—
751C22×C37—41no—
752C22×C37—41no—
753C22×C37—41no—
754C22×C37—41no—
755C22×C37—41no—
756C22×C37—41no—
757C22×C37—41no—
758C22×C37—41no—
759C22×C37—41no—
760C22×C37—41no—
761C22×C37—41no—
762C22×C37—41no—
763C22×C37—41no—
764C22×C37—41no—
765C22×C37—41no—
766C22×C37—41no—
767C22×C37—41no—
768C22×C37#53814yes—
769C22×C37C22×#4111yescharacteristic
770C22×C37C2×H(5,𝔽2)11yescharacteristic
771C22×C37C2×H(5,𝔽2)11yescharacteristic
772C22×C37C2×H(5,𝔽2)11yescharacteristic
773C22×C37C2×H(5,𝔽2)11yescharacteristic
774C22×C37C2×2−1+411yescharacteristic
775C22×C37#58511yescharacteristic
776C4×C37—22no—
777C4×C37—22no—
778C4×C37—22no—
779C4×C37—41no—
780C4×C37—41no—
781C4×C37—41no—
782C4×C37—41no—
783C4×C37—41no—
784C4×C37—41no—
785C4×C37—41no—
786C4×C37—41no—
787C4×C37—41no—
788C4×C37—41no—
789C4×C37—41no—
790C4×C37—41no—
791C4×C37—41no—
792C4×C37—41no—
793C4×C37—41no—
794C4×C37—41no—
795C4×C37—41no—
796C4×C37—41no—
797C4×C37—41no—
798C4×C37—41no—
799C4×C37—41no—
800C4×C37—41no—
801#2849C2×C3711yescharacteristic, complemented
802#2847C2×C3711yescharacteristic, complemented
803#2804C2×C3711yescharacteristic, complemented
804#2797C2×C3711yescharacteristic, complemented
805#2788C2×C3711yescharacteristic, complemented
806#2784C2×C3711yescharacteristic, complemented
807#2780C2×C3711yescharacteristic, complemented
808#2778C2×C3711yescharacteristic, complemented
809#2751C2×C3711yescharacteristic, complemented
810#2750C2×C3711yescharacteristic, complemented
811#2745C2×C3711yescharacteristic, complemented
812#2714C2×C3711yescharacteristic, complemented
813#2710C2×C3711yescharacteristic, complemented
814#2708C2×C3711yescharacteristic, complemented
815#2708C2×C3711yescharacteristic, complemented
816#2695C2×C3711yescharacteristic, complemented
817#2686C2×C3711yescharacteristic, complemented
818#2682C2×C3711yescharacteristic, complemented
819#2643C2×C3711yescharacteristic, complemented
820#2639C2×C3711yescharacteristic, complemented
821#2481C2×C3711yescharacteristic, complemented
822#2472C2×C3711yescharacteristic, complemented
823#2443C2×C3711yescharacteristic, complemented
824#2438C2×C3711yescharacteristic, complemented
825#2430C2×C3711yescharacteristic, complemented
826#2424C2×C3711yescharacteristic, complemented
827#2411C2×C3711yescharacteristic, complemented
828#2404C2×C3711yescharacteristic, complemented
829#2322C2×C3711yescharacteristic, complemented
830#2311C2×C3711yescharacteristic, complemented
831C2×#385C2×C3711yescharacteristic, complemented
832C2×C37—24no—
833C2×C37—42no—
834C2×C37—42no—
835C2×C37—81no—
836C2×C37—81no—
837C2×C37—81no—
838C2×C37C2×#53811yescharacteristic
839C2×C37#349211yescharacteristic
840C2×C37#350611yescharacteristic
841C2×C37#353211yescharacteristic
842C2×C37#353411yescharacteristic
843C2×C37#353511yescharacteristic
844C2×C37#353611yescharacteristic
845C22×#41C22×C3711yescharacteristic
846C24×C4C22×C3711yescharacteristic
847C2×#126C22×C3711yescharacteristic, complemented
848C2×#124C22×C3711yescharacteristic
849C2×#123C22×C3711yescharacteristic
850C2×#123C22×C3711yescharacteristic
851C2×#123C22×C3711yescharacteristic
852C2×#123C22×C3711yescharacteristic, complemented
853C2×C22⋊Q8C22×C3711yescharacteristic
854C2×#121C22×C3711yescharacteristic
855C2×#121C22×C3711yescharacteristic
856C2×#121C22×C3711yescharacteristic
857C2×#121C22×C3711yescharacteristic
858C2×#121C22×C3711yescharacteristic
859C2×#120C22×C3711yescharacteristic
860C2×#120C22×C3711yescharacteristic
861C2×#120C22×C3711yescharacteristic
862C2×C4×D4C22×C3711yescharacteristic
863C2×#117C22×C3711yescharacteristic
864C22×C4⋊C4C22×C3711yescharacteristic
865C22×C4⋊C4C22×C3711yescharacteristic
866C22×C22⋊C4C22×C3711yescharacteristic
867C22×C22⋊C4C22×C3711yescharacteristic
868#401C22×C3711yescharacteristic, complemented
869#400C22×C3711yescharacteristic, complemented
870#400C22×C3711yescharacteristic, complemented
871#400C22×C3711yescharacteristic, complemented
872#400C22×C3711yescharacteristic, complemented
873#400C22×C3711yescharacteristic, complemented
874#400C22×C3711yescharacteristic, complemented
875#400C22×C3711yescharacteristic, complemented
876#400C22×C3711yescharacteristic, complemented
877#399C22×C3711yescharacteristic, complemented
878#398C22×C3711yescharacteristic, complemented
879#398C22×C3711yescharacteristic, complemented
880#398C22×C3711yescharacteristic, complemented
881#397C22×C3711yescharacteristic
882#397C22×C3711yescharacteristic, complemented
883#397C22×C3711yescharacteristic, complemented
884#397C22×C3711yescharacteristic, complemented
885#397C22×C3711yescharacteristic, complemented
886#397C22×C3711yescharacteristic, complemented
887#397C22×C3711yescharacteristic, complemented
888#397C22×C3711yescharacteristic, complemented
889#396C22×C3711yescharacteristic
890#396C22×C3711yescharacteristic
891#396C22×C3711yescharacteristic
892#396C22×C3711yescharacteristic, complemented
893#396C22×C3711yescharacteristic, complemented
894#395C22×C3711yescharacteristic, complemented
895#395C22×C3711yescharacteristic, complemented
896#394C22×C3711yescharacteristic
897#394C22×C3711yescharacteristic
898#394C22×C3711yescharacteristic
899#394C22×C3711yescharacteristic
900#394C22×C3711yescharacteristic
901#394C22×C3711yescharacteristic
902#394C22×C3711yescharacteristic, complemented
903#394C22×C3711yescharacteristic, complemented
904#394C22×C3711yescharacteristic, complemented
905#394C22×C3711yescharacteristic, complemented
906#393C22×C3711yescharacteristic
907#393C22×C3711yescharacteristic
908#393C22×C3711yescharacteristic
909#393C22×C3711yescharacteristic, complemented
910#393C22×C3711yescharacteristic, complemented
911#393C22×C3711yescharacteristic, complemented
912#392C22×C3711yescharacteristic
913#392C22×C3711yescharacteristic
914#392C22×C3711yescharacteristic
915#392C22×C3711yescharacteristic, complemented
916#391C22×C3711yescharacteristic, complemented
917#391C22×C3711yescharacteristic, complemented
918#391C22×C3711yescharacteristic, complemented
919#390C22×C3711yescharacteristic
920#390C22×C3711yescharacteristic
921#390C22×C3711yescharacteristic
922#390C22×C3711yescharacteristic
923#390C22×C3711yescharacteristic, complemented
924#390C22×C3711yescharacteristic, complemented
925#389C22×C3711yescharacteristic, complemented
926#389C22×C3711yescharacteristic, complemented
927#389C22×C3711yescharacteristic, complemented
928#388C22×C3711yescharacteristic
929#388C22×C3711yescharacteristic
930#388C22×C3711yescharacteristic
931#388C22×C3711yescharacteristic
932#388C22×C3711yescharacteristic
933#388C22×C3711yescharacteristic, complemented
934#388C22×C3711yescharacteristic, complemented
935#388C22×C3711yescharacteristic, complemented
936#388C22×C3711yescharacteristic, complemented
937#387C22×C3711yescharacteristic, complemented
938#387C22×C3711yescharacteristic, complemented
939#387C22×C3711yescharacteristic, complemented
940#387C22×C3711yescharacteristic, complemented
941#387C22×C3711yescharacteristic, complemented
942#387C22×C3711yescharacteristic, complemented
943#387C22×C3711yescharacteristic, complemented
944#386C22×C3711yescharacteristic
945#386C22×C3711yescharacteristic
946#386C22×C3711yescharacteristic
947#386C22×C3711yescharacteristic
948#386C22×C3711yescharacteristic
949#386C22×C3711yescharacteristic
950#386C22×C3711yescharacteristic
951#386C22×C3711yescharacteristic
952#386C22×C3711yescharacteristic
953#386C22×C3711yescharacteristic
954#386C22×C3711yescharacteristic
955#386C22×C3711yescharacteristic
956#386C22×C3711yescharacteristic
957#386C22×C3711yescharacteristic
958#386C22×C3711yescharacteristic
959#386C22×C3711yescharacteristic
960#386C22×C3711yescharacteristic
961#386C22×C3711yescharacteristic
962#386C22×C3711yescharacteristic
963#386C22×C3711yescharacteristic
964#386C22×C3711yescharacteristic
965#386C22×C3711yescharacteristic, complemented
966#386C22×C3711yescharacteristic, complemented
967#385C22×C3711yescharacteristic
968#385C22×C3711yescharacteristic
969#385C22×C3711yescharacteristic
970#385C22×C3711yescharacteristic
971#385C22×C3711yescharacteristic
972#385C22×C3711yescharacteristic
973#385C22×C3711yescharacteristic
974#385C22×C3711yescharacteristic
975#385C22×C3711yescharacteristic
976#385C22×C3711yescharacteristic
977#385C22×C3711yescharacteristic
978#385C22×C3711yescharacteristic
979#385C22×C3711yescharacteristic
980#385C22×C3711yescharacteristic
981#385C22×C3711yescharacteristic, complemented
982#385C22×C3711yescharacteristic, complemented
983#385C22×C3711yescharacteristic, complemented
984#385C22×C3711yescharacteristic, complemented
985#385C22×C3711yescharacteristic, complemented
986#381C22×C3711yescharacteristic
987#381C22×C3711yescharacteristic
988#381C22×C3711yescharacteristic
989#380C22×C3711yescharacteristic
990#380C22×C3711yescharacteristic
991#380C22×C3711yescharacteristic
992#380C22×C3711yescharacteristic, complemented
993#380C22×C3711yescharacteristic, complemented
994#380C22×C3711yescharacteristic, complemented
995#380C22×C3711yescharacteristic, complemented
996#379C22×C3711yescharacteristic
997C4×C22⋊C4C22×C3711yescharacteristic
998C2×#95C22×C3711yescharacteristic
999C2×#95C22×C3711yescharacteristic
1000C37#3679111yescharacteristic, direct product factor, Sylow
1001C25C23×C3711yescharacteristic
1002C2×#41—24no—
1003C2×#41—42no—
1004C2×#41—42no—
1005C22×Q8C23×C3711yescharacteristic
1006C22×Q8C23×C3711yescharacteristic
1007C22×D4C23×C3711yescharacteristic
1008C22×D4C23×C3711yescharacteristic
1009C22×D4C23×C3711yescharacteristic
1010C22×D4C23×C3711yescharacteristic
1011C22×D4C23×C3711yescharacteristic
1012C22×D4C23×C3711yescharacteristic
1013C22×D4C23×C3711yescharacteristic
1014C22×D4C23×C3711yescharacteristic
1015C22×D4C23×C3711yescharacteristic
1016C22×D4C23×C3711yescharacteristic
1017C22×D4C23×C3711yescharacteristic
1018C22×D4C23×C3711yescharacteristic
1019C23×C4—42no—
1020C23×C4—42no—
1021C23×C4—42no—
1022C23×C4C23×C3711yescharacteristic
1023C23×C4C23×C3711yescharacteristic
1024C23×C4C23×C3711yescharacteristic
1025C23×C4C23×C3711yescharacteristic
1026C23×C4C23×C3711yescharacteristic
1027C23×C4C23×C3711yescharacteristic
1028C23×C4C23×C3711yescharacteristic
1029C23×C4C23×C3711yescharacteristic
1030C23×C4C23×C3711yescharacteristic
1031C23×C4C23×C3711yescharacteristic
1032C23×C4C23×C3711yescharacteristic
1033C23×C4C23×C3711yescharacteristic
1034C23×C4C23×C3711yescharacteristic
1035#126—42no—
1036#124—42no—
1037#123—24no—
1038#123—42no—
1039#123—42no—
1040#123—42no—
1041C22⋊Q8—42no—
1042#121—42no—
1043#121—42no—
1044#121—42no—
1045#121—42no—
1046#121—42no—
1047#120—42no—
1048#120—42no—
1049#120—42no—
1050C4×D4—42no—
1051#117—42no—
1052C2×C4⋊C4—42no—
1053C2×C4⋊C4—42no—
1054C2×C4⋊C4C23×C3711yescharacteristic
1055C2×C4⋊C4C23×C3711yescharacteristic
1056C2×C4⋊C4C23×C3711yescharacteristic
1057C2×C4⋊C4C23×C3711yescharacteristic
1058C2×C4⋊C4C23×C3711yescharacteristic
1059C2×C4⋊C4C23×C3711yescharacteristic
1060C2×C4⋊C4C23×C3711yescharacteristic
1061C2×C4⋊C4C23×C3711yescharacteristic
1062C2×C4⋊C4C23×C3711yescharacteristic
1063C2×C4⋊C4C23×C3711yescharacteristic
1064C2×C4⋊C4C23×C3711yescharacteristic
1065C2×C4⋊C4C23×C3711yescharacteristic
1066C2×C4⋊C4C23×C3711yescharacteristic
1067C2×C4⋊C4C23×C3711yescharacteristic
1068C2×C4⋊C4C23×C3711yescharacteristic
1069C2×C4⋊C4C23×C3711yescharacteristic
1070C2×C4⋊C4C23×C3711yescharacteristic
1071C2×C4⋊C4C23×C3711yescharacteristic
1072C2×C4⋊C4C23×C3711yescharacteristic
1073C2×C4⋊C4C23×C3711yescharacteristic
1074C2×C4⋊C4C23×C3711yescharacteristic
1075C2×C4⋊C4C23×C3711yescharacteristic
1076C2×C4⋊C4C23×C3711yescharacteristic
1077C2×C4⋊C4C23×C3711yescharacteristic
1078C2×C4⋊C4C23×C3711yescharacteristic
1079C2×C4⋊C4C23×C3711yescharacteristic
1080C2×C4⋊C4C23×C3711yescharacteristic
1081C2×C4⋊C4C23×C3711yescharacteristic
1082C2×C22⋊C4—24no—
1083C2×C22⋊C4—42no—
1084C2×C22⋊C4C23×C3711yescharacteristic
1085C2×C22⋊C4C23×C3711yescharacteristic
1086C2×C22⋊C4C23×C3711yescharacteristic
1087C2×C22⋊C4C23×C3711yescharacteristic
1088C2×C22⋊C4C23×C3711yescharacteristic
1089C2×C22⋊C4C23×C3711yescharacteristic
1090C2×C22⋊C4C23×C3711yescharacteristic
1091C2×C22⋊C4C23×C3711yescharacteristic
1092C2×C22⋊C4C23×C3711yescharacteristic
1093C2×C22⋊C4C23×C3711yescharacteristic
1094C2×C22⋊C4C23×C3711yescharacteristic
1095C2×C22⋊C4C23×C3711yescharacteristic
1096C2×C22⋊C4C23×C3711yescharacteristic
1097C2×C22⋊C4C23×C3711yescharacteristic
1098C2×C22⋊C4C23×C3711yescharacteristic
1099C2×C22⋊C4C23×C3711yescharacteristic
1100C2×C22⋊C4C23×C3711yescharacteristic
1101C2×C22⋊C4C23×C3711yescharacteristic
1102C2×C22⋊C4C23×C3711yescharacteristic
1103C2×C22⋊C4C23×C3711yescharacteristic
1104C2×C22⋊C4C23×C3711yescharacteristic
1105C2×C22⋊C4C23×C3711yescharacteristic
1106C2×C22⋊C4C23×C3711yescharacteristic
1107C2×C22⋊C4C23×C3711yescharacteristic
1108C2×C22⋊C4C23×C3711yescharacteristic
1109C2×C22⋊C4C23×C3711yescharacteristic
1110C2×C22⋊C4C23×C3711yescharacteristic
1111C2×C22⋊C4C23×C3711yescharacteristic
1112C2×C22⋊C4C23×C3711yescharacteristic
1113C2×C22⋊C4C23×C3711yescharacteristic
1114C2×C22⋊C4C23×C3711yescharacteristic
1115C2×C22⋊C4C23×C3711yescharacteristic
1116C2×C22⋊C4C23×C3711yescharacteristic
1117C2×C22⋊C4C23×C3711yescharacteristic
1118C2×C22⋊C4C23×C3711yescharacteristic
1119C2×C22⋊C4C23×C3711yescharacteristic
1120C2×C22⋊C4C23×C3711yescharacteristic
1121C2×C22⋊C4C23×C3711yescharacteristic
1122C2×C22⋊C4C23×C3711yescharacteristic
1123C2×C22⋊C4C23×C3711yescharacteristic
1124C2×C22⋊C4C23×C3711yescharacteristic
1125C2×C22⋊C4C23×C3711yescharacteristic
1126C2×C22⋊C4C23×C3711yescharacteristic
1127C2×C22⋊C4C23×C3711yescharacteristic
1128C2×C22⋊C4C23×C3711yescharacteristic
1129C2×C22⋊C4C23×C3711yescharacteristic
1130C2×C22⋊C4C23×C3711yescharacteristic
1131C2×C22⋊C4C23×C3711yescharacteristic
1132C2×C22⋊C4C23×C3711yescharacteristic
1133C2×C22⋊C4C23×C3711yescharacteristic
1134C2×C42C23×C3711yescharacteristic
1135C2×C42C23×C3711yescharacteristic
1136C2×C42C23×C3711yescharacteristic
1137C2×C42C23×C3711yescharacteristic
1138C2×C42C23×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
1152#95C23×C3711yescharacteristic
1153#95C23×C3711yescharacteristic
1154#95C23×C3711yescharacteristic
1155#95C23×C3711yescharacteristic
1156#95C23×C3711yescharacteristic
1157#95C23×C3711yescharacteristic
1158#95C23×C3711yescharacteristic
1159#95C23×C3711yescharacteristic
1160#95C23×C3711yescharacteristic
1161#95C23×C3711yescharacteristic
1162#95C23×C3711yescharacteristic
1163#95C23×C3711yescharacteristic
1164#95C23×C3711yescharacteristic
1165#95C23×C3711yescharacteristic
1166#95C23×C3711yescharacteristic
1167#95C23×C3711yescharacteristic
1168#95C23×C3711yescharacteristic
1169#95C23×C3711yescharacteristic
1170#95C23×C3711yescharacteristic
1171#95C23×C3711yescharacteristic
1172#95C23×C3711yescharacteristic
1173#95C23×C3711yescharacteristic
1174#95C23×C3711yescharacteristic
1175#95C23×C3711yescharacteristic
1176#95C23×C3711yescharacteristic
1177#95C23×C3711yescharacteristic
1178#95C23×C3711yescharacteristic
1179#95C23×C3711yescharacteristic
1180#95C23×C3711yescharacteristic
1181#95C23×C3711yescharacteristic
1182#95C23×C3711yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24C24×C3711yescharacteristic
1191C24C24×C3711yescharacteristic
1192C24C24×C3711yescharacteristic
1193C24C24×C3711yescharacteristic
1194C24C24×C3711yescharacteristic
1195C24C24×C3711yescharacteristic
1196#41—416no—
1197C2×Q8—22no—
1198C2×Q8—41no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×Q8—41no—
1202C2×Q8—41no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—416no—
1278C22×C4#41×C3714yes—
1279C22×C4C24×C3711yescharacteristic
1280C22×C4C24×C3711yescharacteristic
1281C22×C4C24×C3711yescharacteristic
1282C22×C4C24×C3711yescharacteristic
1283C22×C4C24×C3711yescharacteristic
1284C22×C4C24×C3711yescharacteristic
1285C22×C4C24×C3711yescharacteristic
1286C22×C4C24×C3711yescharacteristic
1287C22×C4C24×C3711yescharacteristic
1288C22×C4C24×C3711yescharacteristic
1289C22×C4C24×C3711yescharacteristic
1290C22×C4C24×C3711yescharacteristic
1291C22×C4C24×C3711yescharacteristic
1292C22×C4C24×C3711yescharacteristic
1293C22×C4C24×C3711yescharacteristic
1294C22×C4C24×C3711yescharacteristic
1295C22×C4C24×C3711yescharacteristic
1296C22×C4C24×C3711yescharacteristic
1297C22×C4C24×C3711yescharacteristic
1298C22×C4C24×C3711yescharacteristic
1299C22×C4C24×C3711yescharacteristic
1300C22×C4C24×C3711yescharacteristic
1301C22×C4C24×C3711yescharacteristic
1302C22×C4C24×C3711yescharacteristic
1303C22×C4C24×C3711yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C42—41no—
1386C42—41no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23C2×#41×C3712yes—
1432C23H(5,𝔽2)×C3712yes—
1433C23H(5,𝔽2)×C3712yes—
1434C23H(5,𝔽2)×C3712yes—
1435C232−1+4×C3712yes—
1436C23C25×C3711yescharacteristic
1437Q8—44no—
1438Q8—82no—
1439D4—44no—
1440D4—44no—
1441D4—44no—
1442D4—44no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—82no—
1449D4—82no—
1450D4—82no—
1451C2×C4—28no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—82no—
1534C2×C4—82no—
1535C2×C4—82no—
1536C2×C4C2×#41×C3712yes—
1537C2×C4C2×#41×C3712yes—
1538C2×C4H(5,𝔽2)×C3712yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22C37×#53814yes—
1582C22C22×#41×C3711yescharacteristic
1583C22C2×H(5,𝔽2)×C3711yescharacteristic
1584C22C2×H(5,𝔽2)×C3711yescharacteristic
1585C22C2×H(5,𝔽2)×C3711yescharacteristic
1586C22C2×H(5,𝔽2)×C3711yescharacteristic
1587C22C2×2−1+4×C3711yescharacteristic
1588C22C37×#58511yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—81no—
1620C2C2×C37×#53811yescharacteristic
1621C2C37×#349211yescharacteristic
1622C2C37×#350611yescharacteristic
1623C2C37×#353211yescharacteristic
1624C2C37×#353411yescharacteristic
1625C2C37×#353511yescharacteristic
1626C2C37×#353611yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutator, Frattini, cosocleC23C25×C37
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#2849C2semidirect
2. C37×#2847C2semidirect
3. C37×#2804C2semidirect
4. C37×#2797C2semidirect
5. C37×#2788C2semidirect
6. C37×#2784C2semidirect
7. C37×#2780C2semidirect
8. C37×#2778C2semidirect
9. C37×#2751C2semidirect
10. C37×#2750C2semidirect
11. C37×#2745C2semidirect
12. C37×#2714C2semidirect
13. C37×#2710C2semidirect
14. C37×#2708C2semidirect
15. C37×#2708C2semidirect
16. C37×#2695C2semidirect
17. C37×#2686C2semidirect
18. C37×#2682C2semidirect
19. C37×#2643C2semidirect
20. C37×#2639C2semidirect
21. C37×#2481C2semidirect
22. C37×#2472C2semidirect
23. C37×#2443C2semidirect
24. C37×#2438C2semidirect
25. C37×#2430C2semidirect
26. C37×#2424C2semidirect
27. C37×#2411C2semidirect
28. C37×#2404C2semidirect
29. C37×#2322C2semidirect
30. C37×#2311C2semidirect
31. C2×C37×#385C2semidirect
34. C2×#126×C37C22semidirect
39. C2×#123×C37C22semidirect
55. C37×#401C22semidirect
56. C37×#400C22semidirect
57. C37×#400C22semidirect
58. C37×#400C22semidirect
59. C37×#400C22semidirect
60. C37×#400C22semidirect
61. C37×#400C22semidirect
62. C37×#400C22semidirect
63. C37×#400C22semidirect
64. C37×#399C22semidirect
65. C37×#398C22semidirect
66. C37×#398C22semidirect
67. C37×#398C22semidirect
69. C37×#397C22semidirect
70. C37×#397C22semidirect
71. C37×#397C22semidirect
72. C37×#397C22semidirect
73. C37×#397C22semidirect
74. C37×#397C22semidirect
75. C37×#397C22semidirect
79. C37×#396C22semidirect
80. C37×#396C22semidirect
81. C37×#395C22semidirect
82. C37×#395C22semidirect
89. C37×#394C22semidirect
90. C37×#394C22semidirect
91. C37×#394C22semidirect
92. C37×#394C22semidirect
96. C37×#393C22semidirect
97. C37×#393C22semidirect
98. C37×#393C22semidirect
102. C37×#392C22semidirect
103. C37×#391C22semidirect
104. C37×#391C22semidirect
105. C37×#391C22semidirect
110. C37×#390C22semidirect
111. C37×#390C22semidirect
112. C37×#389C22semidirect
113. C37×#389C22semidirect
114. C37×#389C22semidirect
120. C37×#388C22semidirect
121. C37×#388C22semidirect
122. C37×#388C22semidirect
123. C37×#388C22semidirect
124. C37×#387C22semidirect
125. C37×#387C22semidirect
126. C37×#387C22semidirect
127. C37×#387C22semidirect
128. C37×#387C22semidirect
129. C37×#387C22semidirect
130. C37×#387C22semidirect
152. C37×#386C22semidirect
153. C37×#386C22semidirect
168. C37×#385C22semidirect
169. C37×#385C22semidirect
170. C37×#385C22semidirect
171. C37×#385C22semidirect
172. C37×#385C22semidirect
179. C37×#380C22semidirect
180. C37×#380C22semidirect
181. C37×#380C22semidirect
182. C37×#380C22semidirect
725. #36791C37direct (N × H)
801. #2849C2×C37semidirect
802. #2847C2×C37semidirect
803. #2804C2×C37semidirect
804. #2797C2×C37semidirect
805. #2788C2×C37semidirect
806. #2784C2×C37semidirect
807. #2780C2×C37semidirect
808. #2778C2×C37semidirect
809. #2751C2×C37semidirect
810. #2750C2×C37semidirect
811. #2745C2×C37semidirect
812. #2714C2×C37semidirect
813. #2710C2×C37semidirect
814. #2708C2×C37semidirect
815. #2708C2×C37semidirect
816. #2695C2×C37semidirect
817. #2686C2×C37semidirect
818. #2682C2×C37semidirect
819. #2643C2×C37semidirect
820. #2639C2×C37semidirect
821. #2481C2×C37semidirect
822. #2472C2×C37semidirect
823. #2443C2×C37semidirect
824. #2438C2×C37semidirect
825. #2430C2×C37semidirect
826. #2424C2×C37semidirect
827. #2411C2×C37semidirect
828. #2404C2×C37semidirect
829. #2322C2×C37semidirect
830. #2311C2×C37semidirect
831. C2×#385C2×C37semidirect
847. C2×#126C22×C37semidirect
852. C2×#123C22×C37semidirect
868. #401C22×C37semidirect
869. #400C22×C37semidirect
870. #400C22×C37semidirect
871. #400C22×C37semidirect
872. #400C22×C37semidirect
873. #400C22×C37semidirect
874. #400C22×C37semidirect
875. #400C22×C37semidirect
876. #400C22×C37semidirect
877. #399C22×C37semidirect
878. #398C22×C37semidirect
879. #398C22×C37semidirect
880. #398C22×C37semidirect
882. #397C22×C37semidirect
883. #397C22×C37semidirect
884. #397C22×C37semidirect
885. #397C22×C37semidirect
886. #397C22×C37semidirect
887. #397C22×C37semidirect
888. #397C22×C37semidirect
892. #396C22×C37semidirect
893. #396C22×C37semidirect
894. #395C22×C37semidirect
895. #395C22×C37semidirect
902. #394C22×C37semidirect
903. #394C22×C37semidirect
904. #394C22×C37semidirect
905. #394C22×C37semidirect
909. #393C22×C37semidirect
910. #393C22×C37semidirect
911. #393C22×C37semidirect
915. #392C22×C37semidirect
916. #391C22×C37semidirect
917. #391C22×C37semidirect
918. #391C22×C37semidirect
923. #390C22×C37semidirect
924. #390C22×C37semidirect
925. #389C22×C37semidirect
926. #389C22×C37semidirect
927. #389C22×C37semidirect
933. #388C22×C37semidirect
934. #388C22×C37semidirect
935. #388C22×C37semidirect
936. #388C22×C37semidirect
937. #387C22×C37semidirect
938. #387C22×C37semidirect
939. #387C22×C37semidirect
940. #387C22×C37semidirect
941. #387C22×C37semidirect
942. #387C22×C37semidirect
943. #387C22×C37semidirect
965. #386C22×C37semidirect
966. #386C22×C37semidirect
981. #385C22×C37semidirect
982. #385C22×C37semidirect
983. #385C22×C37semidirect
984. #385C22×C37semidirect
985. #385C22×C37semidirect
992. #380C22×C37semidirect
993. #380C22×C37semidirect
994. #380C22×C37semidirect
995. #380C22×C37semidirect
1000. C37#36791direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#28492
C37×#28472
C37×#28042
C37×#27972
C37×#27882
C37×#27842
C37×#27802
C37×#27782
C37×#27512
C37×#27502
C37×#27452
C37×#27142
C37×#27102
C37×#27082
C37×#26952
C37×#26862
C37×#26822
C37×#26432
C37×#26392
C37×#24812
C37×#24722
C37×#24432
C37×#24382
C37×#24302
C37×#24242
C37×#24112
C37×#24042
C37×#23222
C37×#23112
C2×C37×#3852
#3679137