Finite Group Databasebeta

← C37×#35053 #22656306

Subgroups — C37×#35053 #22656306

Order 9472.

2254 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×#2852C211yesmaximal, characteristic, complemented
2C37×#2850C211yesmaximal, characteristic, complemented
3C37×#2849C211yesmaximal, characteristic, complemented
4C37×#2847C211yesmaximal, characteristic, complemented
5C37×#2665C211yesmaximal, characteristic, complemented
6C37×#2661C211yesmaximal, characteristic, complemented
7C37×#2653C211yesmaximal, characteristic, complemented
8C37×#2648C211yesmaximal, characteristic, complemented
9C37×#2578C211yesmaximal, characteristic, complemented
10C37×#2576C211yesmaximal, characteristic, complemented
11C37×#2574C211yesmaximal, characteristic, complemented
12C37×#2572C211yesmaximal, characteristic, complemented
13C37×#2559C211yesmaximal, characteristic, complemented
14C37×#2557C211yesmaximal, characteristic, complemented
15C37×#2555C211yesmaximal, characteristic, complemented
16C37×#2554C211yesmaximal, characteristic, complemented
17C37×#2510C211yesmaximal, characteristic, complemented
18C37×#2472C211yesmaximal, characteristic, complemented
19C37×#2444C211yesmaximal, characteristic, complemented
20C37×#2438C211yesmaximal, characteristic, complemented
21C37×#2430C211yesmaximal, characteristic, complemented
22C37×#2424C211yesmaximal, characteristic, complemented
23C37×#2411C211yesmaximal, characteristic, complemented
24C37×#2404C211yesmaximal, characteristic, complemented
25C37×#2337C211yesmaximal, characteristic, complemented
26C37×#2335C211yesmaximal, characteristic, complemented
27C37×#2333C211yesmaximal, characteristic, complemented
28C37×#2333C211yesmaximal, characteristic, complemented
29C4×#123×C37C211yesmaximal, characteristic, complemented
30C37×#2297C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C37C211yesmaximal, characteristic, complemented
32C22×#41×C37C2211yescharacteristic
33C24×C4×C37C2211yescharacteristic
34C2×#126×C37C2211yescharacteristic, complemented
35C2×#124×C37C2211yescharacteristic
36C2×#124×C37C2211yescharacteristic, complemented
37C2×#123×C37C2211yescharacteristic
38C2×#123×C37C2211yescharacteristic
39C2×#123×C37C2211yescharacteristic
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×C22⋊C4×C37C2211yescharacteristic
52C22×C22⋊C4×C37C2211yescharacteristic
53C22×C42×C37C2211yescharacteristic
54C22×C42×C37C2211yescharacteristic
55C37×#401C2211yescharacteristic, complemented
56C37×#400C2211yescharacteristic, complemented
57C37×#400C2211yescharacteristic, complemented
58C37×#400C2211yescharacteristic, complemented
59C37×#398C2211yescharacteristic, complemented
60C37×#398C2211yescharacteristic, complemented
61C37×#397C2211yescharacteristic
62C37×#397C2211yescharacteristic, complemented
63C37×#397C2211yescharacteristic, complemented
64C37×#397C2211yescharacteristic, complemented
65C37×#397C2211yescharacteristic, complemented
66C37×#396C2211yescharacteristic
67C37×#396C2211yescharacteristic
68C37×#396C2211yescharacteristic
69C37×#395C2211yescharacteristic, complemented
70C37×#395C2211yescharacteristic, complemented
71C37×#394C2211yescharacteristic
72C37×#394C2211yescharacteristic
73C37×#394C2211yescharacteristic
74C37×#394C2211yescharacteristic
75C37×#394C2211yescharacteristic
76C37×#394C2211yescharacteristic
77C37×#394C2211yescharacteristic, complemented
78C37×#394C2211yescharacteristic, complemented
79C37×#393C2211yescharacteristic
80C37×#393C2211yescharacteristic
81C37×#393C2211yescharacteristic
82C37×#393C2211yescharacteristic, complemented
83C37×#392C2211yescharacteristic
84C37×#392C2211yescharacteristic
85C37×#392C2211yescharacteristic
86C37×#392C2211yescharacteristic, complemented
87C37×#391C2211yescharacteristic, complemented
88C37×#391C2211yescharacteristic, complemented
89C37×#391C2211yescharacteristic, complemented
90C37×#391C2211yescharacteristic, complemented
91C37×#390C2211yescharacteristic
92C37×#390C2211yescharacteristic
93C37×#390C2211yescharacteristic
94C37×#390C2211yescharacteristic
95C37×#390C2211yescharacteristic, complemented
96C37×#390C2211yescharacteristic, complemented
97C37×#390C2211yescharacteristic, complemented
98C37×#389C2211yescharacteristic, complemented
99C37×#388C2211yescharacteristic
100C37×#388C2211yescharacteristic
101C37×#388C2211yescharacteristic
102C37×#388C2211yescharacteristic
103C37×#388C2211yescharacteristic
104C37×#388C2211yescharacteristic, complemented
105C37×#388C2211yescharacteristic, complemented
106C37×#388C2211yescharacteristic, complemented
107C37×#388C2211yescharacteristic, complemented
108C37×#388C2211yescharacteristic, complemented
109C37×#388C2211yescharacteristic, complemented
110C37×#388C2211yescharacteristic, complemented
111C37×#388C2211yescharacteristic, complemented
112C37×#388C2211yescharacteristic, complemented
113C37×#388C2211yescharacteristic, complemented
114C37×#388C2211yescharacteristic, complemented
115C37×#388C2211yescharacteristic, complemented
116C37×#387C2211yescharacteristic, complemented
117C37×#387C2211yescharacteristic, complemented
118C37×#387C2211yescharacteristic, complemented
119C37×#387C2211yescharacteristic, complemented
120C37×#387C2211yescharacteristic, complemented
121C37×#387C2211yescharacteristic, complemented
122C37×#387C2211yescharacteristic, complemented
123C37×#387C2211yescharacteristic, complemented
124C37×#387C2211yescharacteristic, complemented
125C37×#386C2211yescharacteristic
126C37×#386C2211yescharacteristic
127C37×#386C2211yescharacteristic
128C37×#386C2211yescharacteristic
129C37×#386C2211yescharacteristic
130C37×#386C2211yescharacteristic
131C37×#386C2211yescharacteristic
132C37×#386C2211yescharacteristic
133C37×#386C2211yescharacteristic
134C37×#386C2211yescharacteristic
135C37×#386C2211yescharacteristic
136C37×#386C2211yescharacteristic
137C37×#386C2211yescharacteristic
138C37×#386C2211yescharacteristic
139C37×#386C2211yescharacteristic
140C37×#386C2211yescharacteristic
141C37×#386C2211yescharacteristic
142C37×#386C2211yescharacteristic
143C37×#386C2211yescharacteristic
144C37×#386C2211yescharacteristic
145C37×#386C2211yescharacteristic
146C37×#386C2211yescharacteristic, complemented
147C37×#386C2211yescharacteristic, complemented
148C37×#386C2211yescharacteristic, complemented
149C37×#385C2211yescharacteristic
150C37×#385C2211yescharacteristic
151C37×#385C2211yescharacteristic
152C37×#385C2211yescharacteristic
153C37×#385C2211yescharacteristic
154C37×#385C2211yescharacteristic
155C37×#385C2211yescharacteristic, complemented
156C37×#385C2211yescharacteristic, complemented
157C37×#383C2211yescharacteristic, complemented
158C37×#383C2211yescharacteristic, complemented
159C37×#382C2211yescharacteristic, complemented
160C37×#381C2211yescharacteristic
161C37×#381C2211yescharacteristic
162C37×#381C2211yescharacteristic
163C37×#381C2211yescharacteristic, complemented
164C37×#380C2211yescharacteristic
165C37×#380C2211yescharacteristic
166C37×#380C2211yescharacteristic
167C37×#379C2211yescharacteristic
168C4×C4⋊C4×C37C2211yescharacteristic, complemented
169C4×C4⋊C4×C37C2211yescharacteristic, complemented
170C4×C22⋊C4×C37C2211yescharacteristic
171C4×C22⋊C4×C37C2211yescharacteristic
172C4×C22⋊C4×C37C2211yescharacteristic
173C4×C22⋊C4×C37C2211yescharacteristic
174C4×C22⋊C4×C37C2211yescharacteristic
175C4×C22⋊C4×C37C2211yescharacteristic
176C4×C22⋊C4×C37C2211yescharacteristic
177C4×C22⋊C4×C37C2211yescharacteristic
178C4×C22⋊C4×C37C2211yescharacteristic
179C4×C22⋊C4×C37C2211yescharacteristic, complemented
180C4×C22⋊C4×C37C2211yescharacteristic, complemented
181C4×C22⋊C4×C37C2211yescharacteristic, complemented
182C4×C22⋊C4×C37C2211yescharacteristic, complemented
183C4×C22⋊C4×C37C2211yescharacteristic, complemented
184C4×C22⋊C4×C37C2211yescharacteristic, complemented
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—24no—
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—24no—
223#124×C37—42no—
224#123×C37—24no—
225#123×C37—24no—
226#123×C37—42no—
227C22⋊Q8×C37—42no—
228#121×C37—24no—
229#121×C37—24no—
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×C37C2311yescharacteristic
239C2×C4⋊C4×C37C2311yescharacteristic
240C2×C4⋊C4×C37C2311yescharacteristic
241C2×C4⋊C4×C37C2311yescharacteristic
242C2×C4⋊C4×C37C2311yescharacteristic
243C2×C4⋊C4×C37C2311yescharacteristic
244C2×C4⋊C4×C37C2311yescharacteristic
245C2×C4⋊C4×C37C2311yescharacteristic
246C2×C4⋊C4×C37C2311yescharacteristic
247C2×C4⋊C4×C37C2311yescharacteristic
248C2×C4⋊C4×C37C2311yescharacteristic
249C2×C4⋊C4×C37C2311yescharacteristic
250C2×C4⋊C4×C37C2311yescharacteristic
251C2×C4⋊C4×C37C2311yescharacteristic
252C2×C4⋊C4×C37C2311yescharacteristic
253C2×C4⋊C4×C37C2311yescharacteristic
254C2×C4⋊C4×C37C2311yescharacteristic
255C2×C4⋊C4×C37C2311yescharacteristic
256C2×C4⋊C4×C37C2311yescharacteristic
257C2×C4⋊C4×C37C2311yescharacteristic
258C2×C22⋊C4×C37—24no—
259C2×C22⋊C4×C37—24no—
260C2×C22⋊C4×C37C2311yescharacteristic
261C2×C22⋊C4×C37C2311yescharacteristic
262C2×C22⋊C4×C37C2311yescharacteristic
263C2×C22⋊C4×C37C2311yescharacteristic
264C2×C22⋊C4×C37C2311yescharacteristic
265C2×C22⋊C4×C37C2311yescharacteristic
266C2×C22⋊C4×C37C2311yescharacteristic
267C2×C22⋊C4×C37C2311yescharacteristic
268C2×C22⋊C4×C37C2311yescharacteristic
269C2×C22⋊C4×C37C2311yescharacteristic
270C2×C22⋊C4×C37C2311yescharacteristic
271C2×C22⋊C4×C37C2311yescharacteristic
272C2×C22⋊C4×C37C2311yescharacteristic
273C2×C22⋊C4×C37C2311yescharacteristic
274C2×C22⋊C4×C37C2311yescharacteristic
275C2×C22⋊C4×C37C2311yescharacteristic
276C2×C22⋊C4×C37C2311yescharacteristic
277C2×C22⋊C4×C37C2311yescharacteristic
278C2×C22⋊C4×C37C2311yescharacteristic
279C2×C22⋊C4×C37C2311yescharacteristic
280C2×C22⋊C4×C37C2311yescharacteristic
281C2×C22⋊C4×C37C2311yescharacteristic
282C2×C22⋊C4×C37C2311yescharacteristic
283C2×C22⋊C4×C37C2311yescharacteristic
284C2×C22⋊C4×C37C2311yescharacteristic
285C2×C22⋊C4×C37C2311yescharacteristic
286C2×C22⋊C4×C37C2311yescharacteristic
287C2×C22⋊C4×C37C2311yescharacteristic
288C2×C22⋊C4×C37C2311yescharacteristic
289C2×C22⋊C4×C37C2311yescharacteristic
290C2×C22⋊C4×C37C2311yescharacteristic
291C2×C22⋊C4×C37C2311yescharacteristic
292C2×C22⋊C4×C37C2311yescharacteristic
293C2×C22⋊C4×C37C2311yescharacteristic
294C2×C22⋊C4×C37C2311yescharacteristic
295C2×C22⋊C4×C37C2311yescharacteristic
296C2×C22⋊C4×C37C2311yescharacteristic
297C2×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×C42×C37—42no—
311C2×C42×C37—42no—
312C2×C42×C37C2311yescharacteristic
313C2×C42×C37C2311yescharacteristic
314C2×C42×C37C2311yescharacteristic
315C2×C42×C37C2311yescharacteristic
316C2×C42×C37C2311yescharacteristic
317C2×C42×C37C2311yescharacteristic
318C2×C42×C37C2311yescharacteristic
319C2×C42×C37C2311yescharacteristic
320C2×C42×C37C2311yescharacteristic
321C2×C42×C37C2311yescharacteristic
322C2×C42×C37C2311yescharacteristic
323C2×C42×C37C2311yescharacteristic
324C2×C42×C37C2311yescharacteristic
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—22no—
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—22no—
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—22no—
440C22×C4×C37—22no—
441C22×C4×C37—22no—
442C22×C4×C37—22no—
443C22×C4×C37—22no—
444C22×C4×C37—22no—
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—416no—
463C22×C4×C37#4114yes—
464C22×C4×C37#4114yescomplemented
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—22no—
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—
510C22⋊C4×C37—22no—
511C22⋊C4×C37—22no—
512C22⋊C4×C37—22no—
513C22⋊C4×C37—22no—
514C22⋊C4×C37—22no—
515C22⋊C4×C37—22no—
516C22⋊C4×C37—22no—
517C22⋊C4×C37—22no—
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—22no—
535C22⋊C4×C37—22no—
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#4114yescomplemented
560C42×C37—22no—
561C42×C37—22no—
562C42×C37—22no—
563C42×C37—41no—
564C42×C37—41no—
565C42×C37—41no—
566C42×C37—41no—
567C42×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×C37C2×#4112yes—
619C23×C37C2×#4112yes—
620C23×C37H(5,𝔽2)12yes—
621C23×C37H(5,𝔽2)12yes—
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—28no—
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—44no—
708C2×C4×C37—44no—
709C2×C4×C37—44no—
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—82no—
718C2×C4×C37C2×#4112yes—
719C2×C4×C37C2×#4112yes—
720C2×C4×C37C2×#4112yes—
721C2×C4×C37C2×#4112yes—
722C2×C4×C37C2×#4112yes—
723C2×C4×C37C2×#4112yes—
724C2×C4×C37H(5,𝔽2)12yes—
725#35053C3711yesmaximal, 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×C37C22×#4111yescharacteristic
771C22×C37C22×#4111yescharacteristic
772C22×C37C2×H(5,𝔽2)11yescharacteristic
773C22×C37C2×H(5,𝔽2)11yescharacteristic
774C22×C37C2×H(5,𝔽2)11yescharacteristic
775C22×C37#58511yescharacteristic
776C4×C37—22no—
777C4×C37—22no—
778C4×C37—22no—
779C4×C37—22no—
780C4×C37—22no—
781C4×C37—22no—
782C4×C37—22no—
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#2852C2×C3711yescharacteristic, complemented
802#2850C2×C3711yescharacteristic, complemented
803#2849C2×C3711yescharacteristic, complemented
804#2847C2×C3711yescharacteristic, complemented
805#2665C2×C3711yescharacteristic, complemented
806#2661C2×C3711yescharacteristic, complemented
807#2653C2×C3711yescharacteristic, complemented
808#2648C2×C3711yescharacteristic, complemented
809#2578C2×C3711yescharacteristic, complemented
810#2576C2×C3711yescharacteristic, complemented
811#2574C2×C3711yescharacteristic, complemented
812#2572C2×C3711yescharacteristic, complemented
813#2559C2×C3711yescharacteristic, complemented
814#2557C2×C3711yescharacteristic, complemented
815#2555C2×C3711yescharacteristic, complemented
816#2554C2×C3711yescharacteristic, complemented
817#2510C2×C3711yescharacteristic, complemented
818#2472C2×C3711yescharacteristic, complemented
819#2444C2×C3711yescharacteristic, complemented
820#2438C2×C3711yescharacteristic, complemented
821#2430C2×C3711yescharacteristic, complemented
822#2424C2×C3711yescharacteristic, complemented
823#2411C2×C3711yescharacteristic, complemented
824#2404C2×C3711yescharacteristic, complemented
825#2337C2×C3711yescharacteristic, complemented
826#2335C2×C3711yescharacteristic, complemented
827#2333C2×C3711yescharacteristic, complemented
828#2333C2×C3711yescharacteristic, complemented
829C4×#123C2×C3711yescharacteristic, complemented
830#2297C2×C3711yescharacteristic, complemented
831C2×C4×C22⋊C4C2×C3711yescharacteristic, complemented
832C2×C37—24no—
833C2×C37—42no—
834C2×C37—42no—
835C2×C37—81no—
836C2×C37—81no—
837C2×C37—81no—
838C2×C37#344411yescharacteristic
839C2×C37C2×#53811yescharacteristic
840C2×C37#346011yescharacteristic
841C2×C37#349011yescharacteristic
842C2×C37#349411yescharacteristic
843C2×C37#351311yescharacteristic
844C2×C37#351911yescharacteristic
845C22×#41C22×C3711yescharacteristic
846C24×C4C22×C3711yescharacteristic
847C2×#126C22×C3711yescharacteristic, complemented
848C2×#124C22×C3711yescharacteristic
849C2×#124C22×C3711yescharacteristic, complemented
850C2×#123C22×C3711yescharacteristic
851C2×#123C22×C3711yescharacteristic
852C2×#123C22×C3711yescharacteristic
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×C22⋊C4C22×C3711yescharacteristic
865C22×C22⋊C4C22×C3711yescharacteristic
866C22×C42C22×C3711yescharacteristic
867C22×C42C22×C3711yescharacteristic
868#401C22×C3711yescharacteristic, complemented
869#400C22×C3711yescharacteristic, complemented
870#400C22×C3711yescharacteristic, complemented
871#400C22×C3711yescharacteristic, complemented
872#398C22×C3711yescharacteristic, complemented
873#398C22×C3711yescharacteristic, complemented
874#397C22×C3711yescharacteristic
875#397C22×C3711yescharacteristic, complemented
876#397C22×C3711yescharacteristic, complemented
877#397C22×C3711yescharacteristic, complemented
878#397C22×C3711yescharacteristic, complemented
879#396C22×C3711yescharacteristic
880#396C22×C3711yescharacteristic
881#396C22×C3711yescharacteristic
882#395C22×C3711yescharacteristic, complemented
883#395C22×C3711yescharacteristic, complemented
884#394C22×C3711yescharacteristic
885#394C22×C3711yescharacteristic
886#394C22×C3711yescharacteristic
887#394C22×C3711yescharacteristic
888#394C22×C3711yescharacteristic
889#394C22×C3711yescharacteristic
890#394C22×C3711yescharacteristic, complemented
891#394C22×C3711yescharacteristic, complemented
892#393C22×C3711yescharacteristic
893#393C22×C3711yescharacteristic
894#393C22×C3711yescharacteristic
895#393C22×C3711yescharacteristic, complemented
896#392C22×C3711yescharacteristic
897#392C22×C3711yescharacteristic
898#392C22×C3711yescharacteristic
899#392C22×C3711yescharacteristic, complemented
900#391C22×C3711yescharacteristic, complemented
901#391C22×C3711yescharacteristic, complemented
902#391C22×C3711yescharacteristic, complemented
903#391C22×C3711yescharacteristic, complemented
904#390C22×C3711yescharacteristic
905#390C22×C3711yescharacteristic
906#390C22×C3711yescharacteristic
907#390C22×C3711yescharacteristic
908#390C22×C3711yescharacteristic, complemented
909#390C22×C3711yescharacteristic, complemented
910#390C22×C3711yescharacteristic, complemented
911#389C22×C3711yescharacteristic, complemented
912#388C22×C3711yescharacteristic
913#388C22×C3711yescharacteristic
914#388C22×C3711yescharacteristic
915#388C22×C3711yescharacteristic
916#388C22×C3711yescharacteristic
917#388C22×C3711yescharacteristic, complemented
918#388C22×C3711yescharacteristic, complemented
919#388C22×C3711yescharacteristic, complemented
920#388C22×C3711yescharacteristic, complemented
921#388C22×C3711yescharacteristic, complemented
922#388C22×C3711yescharacteristic, complemented
923#388C22×C3711yescharacteristic, complemented
924#388C22×C3711yescharacteristic, complemented
925#388C22×C3711yescharacteristic, complemented
926#388C22×C3711yescharacteristic, complemented
927#388C22×C3711yescharacteristic, complemented
928#388C22×C3711yescharacteristic, complemented
929#387C22×C3711yescharacteristic, complemented
930#387C22×C3711yescharacteristic, complemented
931#387C22×C3711yescharacteristic, complemented
932#387C22×C3711yescharacteristic, complemented
933#387C22×C3711yescharacteristic, complemented
934#387C22×C3711yescharacteristic, complemented
935#387C22×C3711yescharacteristic, complemented
936#387C22×C3711yescharacteristic, complemented
937#387C22×C3711yescharacteristic, complemented
938#386C22×C3711yescharacteristic
939#386C22×C3711yescharacteristic
940#386C22×C3711yescharacteristic
941#386C22×C3711yescharacteristic
942#386C22×C3711yescharacteristic
943#386C22×C3711yescharacteristic
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, complemented
960#386C22×C3711yescharacteristic, complemented
961#386C22×C3711yescharacteristic, complemented
962#385C22×C3711yescharacteristic
963#385C22×C3711yescharacteristic
964#385C22×C3711yescharacteristic
965#385C22×C3711yescharacteristic
966#385C22×C3711yescharacteristic
967#385C22×C3711yescharacteristic
968#385C22×C3711yescharacteristic, complemented
969#385C22×C3711yescharacteristic, complemented
970#383C22×C3711yescharacteristic, complemented
971#383C22×C3711yescharacteristic, complemented
972#382C22×C3711yescharacteristic, complemented
973#381C22×C3711yescharacteristic
974#381C22×C3711yescharacteristic
975#381C22×C3711yescharacteristic
976#381C22×C3711yescharacteristic, complemented
977#380C22×C3711yescharacteristic
978#380C22×C3711yescharacteristic
979#380C22×C3711yescharacteristic
980#379C22×C3711yescharacteristic
981C4×C4⋊C4C22×C3711yescharacteristic, complemented
982C4×C4⋊C4C22×C3711yescharacteristic, complemented
983C4×C22⋊C4C22×C3711yescharacteristic
984C4×C22⋊C4C22×C3711yescharacteristic
985C4×C22⋊C4C22×C3711yescharacteristic
986C4×C22⋊C4C22×C3711yescharacteristic
987C4×C22⋊C4C22×C3711yescharacteristic
988C4×C22⋊C4C22×C3711yescharacteristic
989C4×C22⋊C4C22×C3711yescharacteristic
990C4×C22⋊C4C22×C3711yescharacteristic
991C4×C22⋊C4C22×C3711yescharacteristic
992C4×C22⋊C4C22×C3711yescharacteristic, complemented
993C4×C22⋊C4C22×C3711yescharacteristic, complemented
994C4×C22⋊C4C22×C3711yescharacteristic, complemented
995C4×C22⋊C4C22×C3711yescharacteristic, complemented
996C4×C22⋊C4C22×C3711yescharacteristic, complemented
997C4×C22⋊C4C22×C3711yescharacteristic, complemented
998C2×#95C22×C3711yescharacteristic
999C2×#95C22×C3711yescharacteristic
1000C37#3505311yescharacteristic, 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—24no—
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—24no—
1037#124—42no—
1038#123—24no—
1039#123—24no—
1040#123—42no—
1041C22⋊Q8—42no—
1042#121—24no—
1043#121—24no—
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⋊C4C23×C3711yescharacteristic
1053C2×C4⋊C4C23×C3711yescharacteristic
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×C22⋊C4—24no—
1073C2×C22⋊C4—24no—
1074C2×C22⋊C4C23×C3711yescharacteristic
1075C2×C22⋊C4C23×C3711yescharacteristic
1076C2×C22⋊C4C23×C3711yescharacteristic
1077C2×C22⋊C4C23×C3711yescharacteristic
1078C2×C22⋊C4C23×C3711yescharacteristic
1079C2×C22⋊C4C23×C3711yescharacteristic
1080C2×C22⋊C4C23×C3711yescharacteristic
1081C2×C22⋊C4C23×C3711yescharacteristic
1082C2×C22⋊C4C23×C3711yescharacteristic
1083C2×C22⋊C4C23×C3711yescharacteristic
1084C2×C22⋊C4C23×C3711yescharacteristic
1085C2×C22⋊C4C23×C3711yescharacteristic
1086C2×C22⋊C4C23×C3711yescharacteristic
1087C2×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×C42—42no—
1125C2×C42—42no—
1126C2×C42C23×C3711yescharacteristic
1127C2×C42C23×C3711yescharacteristic
1128C2×C42C23×C3711yescharacteristic
1129C2×C42C23×C3711yescharacteristic
1130C2×C42C23×C3711yescharacteristic
1131C2×C42C23×C3711yescharacteristic
1132C2×C42C23×C3711yescharacteristic
1133C2×C42C23×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—22no—
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—22no—
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—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
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—416no—
1277C22×C4#41×C3714yes—
1278C22×C4#41×C3714yescomplemented
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—22no—
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—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
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—22no—
1349C22⋊C4—22no—
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#41×C3714yescomplemented
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—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—
1432C23C2×#41×C3712yes—
1433C23C2×#41×C3712yes—
1434C23H(5,𝔽2)×C3712yes—
1435C23H(5,𝔽2)×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—28no—
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—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—82no—
1532C2×C4C2×#41×C3712yes—
1533C2×C4C2×#41×C3712yes—
1534C2×C4C2×#41×C3712yes—
1535C2×C4C2×#41×C3712yes—
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
1583C22C22×#41×C3711yescharacteristic
1584C22C22×#41×C3711yescharacteristic
1585C22C2×H(5,𝔽2)×C3711yescharacteristic
1586C22C2×H(5,𝔽2)×C3711yescharacteristic
1587C22C2×H(5,𝔽2)×C3711yescharacteristic
1588C22C37×#58511yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—22no—
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—
1620C2C37×#344411yescharacteristic
1621C2C2×C37×#53811yescharacteristic
1622C2C37×#346011yescharacteristic
1623C2C37×#349011yescharacteristic
1624C2C37×#349411yescharacteristic
1625C2C37×#351311yescharacteristic
1626C2C37×#351911yescharacteristic
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×#2852C2semidirect
2. C37×#2850C2semidirect
3. C37×#2849C2semidirect
4. C37×#2847C2semidirect
5. C37×#2665C2semidirect
6. C37×#2661C2semidirect
7. C37×#2653C2semidirect
8. C37×#2648C2semidirect
9. C37×#2578C2semidirect
10. C37×#2576C2semidirect
11. C37×#2574C2semidirect
12. C37×#2572C2semidirect
13. C37×#2559C2semidirect
14. C37×#2557C2semidirect
15. C37×#2555C2semidirect
16. C37×#2554C2semidirect
17. C37×#2510C2semidirect
18. C37×#2472C2semidirect
19. C37×#2444C2semidirect
20. C37×#2438C2semidirect
21. C37×#2430C2semidirect
22. C37×#2424C2semidirect
23. C37×#2411C2semidirect
24. C37×#2404C2semidirect
25. C37×#2337C2semidirect
26. C37×#2335C2semidirect
27. C37×#2333C2semidirect
28. C37×#2333C2semidirect
29. C4×#123×C37C2semidirect
30. C37×#2297C2semidirect
31. C2×C4×C22⋊C4×C37C2semidirect
34. C2×#126×C37C22semidirect
36. C2×#124×C37C22semidirect
55. C37×#401C22semidirect
56. C37×#400C22semidirect
57. C37×#400C22semidirect
58. C37×#400C22semidirect
59. C37×#398C22semidirect
60. C37×#398C22semidirect
62. C37×#397C22semidirect
63. C37×#397C22semidirect
64. C37×#397C22semidirect
65. C37×#397C22semidirect
69. C37×#395C22semidirect
70. C37×#395C22semidirect
77. C37×#394C22semidirect
78. C37×#394C22semidirect
82. C37×#393C22semidirect
86. C37×#392C22semidirect
87. C37×#391C22semidirect
88. C37×#391C22semidirect
89. C37×#391C22semidirect
90. C37×#391C22semidirect
95. C37×#390C22semidirect
96. C37×#390C22semidirect
97. C37×#390C22semidirect
98. C37×#389C22semidirect
104. C37×#388C22semidirect
105. C37×#388C22semidirect
106. C37×#388C22semidirect
107. C37×#388C22semidirect
108. C37×#388C22semidirect
109. C37×#388C22semidirect
110. C37×#388C22semidirect
111. C37×#388C22semidirect
112. C37×#388C22semidirect
113. C37×#388C22semidirect
114. C37×#388C22semidirect
115. C37×#388C22semidirect
116. C37×#387C22semidirect
117. C37×#387C22semidirect
118. C37×#387C22semidirect
119. C37×#387C22semidirect
120. C37×#387C22semidirect
121. C37×#387C22semidirect
122. C37×#387C22semidirect
123. C37×#387C22semidirect
124. C37×#387C22semidirect
146. C37×#386C22semidirect
147. C37×#386C22semidirect
148. C37×#386C22semidirect
155. C37×#385C22semidirect
156. C37×#385C22semidirect
157. C37×#383C22semidirect
158. C37×#383C22semidirect
159. C37×#382C22semidirect
163. C37×#381C22semidirect
168. C4×C4⋊C4×C37C22semidirect
169. C4×C4⋊C4×C37C22semidirect
179. C4×C22⋊C4×C37C22semidirect
180. C4×C22⋊C4×C37C22semidirect
181. C4×C22⋊C4×C37C22semidirect
182. C4×C22⋊C4×C37C22semidirect
183. C4×C22⋊C4×C37C22semidirect
184. C4×C22⋊C4×C37C22semidirect
464. C22×C4×C37#41semidirect
559. C22⋊C4×C37#41semidirect
725. #35053C37direct (N × H)
801. #2852C2×C37semidirect
802. #2850C2×C37semidirect
803. #2849C2×C37semidirect
804. #2847C2×C37semidirect
805. #2665C2×C37semidirect
806. #2661C2×C37semidirect
807. #2653C2×C37semidirect
808. #2648C2×C37semidirect
809. #2578C2×C37semidirect
810. #2576C2×C37semidirect
811. #2574C2×C37semidirect
812. #2572C2×C37semidirect
813. #2559C2×C37semidirect
814. #2557C2×C37semidirect
815. #2555C2×C37semidirect
816. #2554C2×C37semidirect
817. #2510C2×C37semidirect
818. #2472C2×C37semidirect
819. #2444C2×C37semidirect
820. #2438C2×C37semidirect
821. #2430C2×C37semidirect
822. #2424C2×C37semidirect
823. #2411C2×C37semidirect
824. #2404C2×C37semidirect
825. #2337C2×C37semidirect
826. #2335C2×C37semidirect
827. #2333C2×C37semidirect
828. #2333C2×C37semidirect
829. C4×#123C2×C37semidirect
830. #2297C2×C37semidirect
831. C2×C4×C22⋊C4C2×C37semidirect
847. C2×#126C22×C37semidirect
849. C2×#124C22×C37semidirect
868. #401C22×C37semidirect
869. #400C22×C37semidirect
870. #400C22×C37semidirect
871. #400C22×C37semidirect
872. #398C22×C37semidirect
873. #398C22×C37semidirect
875. #397C22×C37semidirect
876. #397C22×C37semidirect
877. #397C22×C37semidirect
878. #397C22×C37semidirect
882. #395C22×C37semidirect
883. #395C22×C37semidirect
890. #394C22×C37semidirect
891. #394C22×C37semidirect
895. #393C22×C37semidirect
899. #392C22×C37semidirect
900. #391C22×C37semidirect
901. #391C22×C37semidirect
902. #391C22×C37semidirect
903. #391C22×C37semidirect
908. #390C22×C37semidirect
909. #390C22×C37semidirect
910. #390C22×C37semidirect
911. #389C22×C37semidirect
917. #388C22×C37semidirect
918. #388C22×C37semidirect
919. #388C22×C37semidirect
920. #388C22×C37semidirect
921. #388C22×C37semidirect
922. #388C22×C37semidirect
923. #388C22×C37semidirect
924. #388C22×C37semidirect
925. #388C22×C37semidirect
926. #388C22×C37semidirect
927. #388C22×C37semidirect
928. #388C22×C37semidirect
929. #387C22×C37semidirect
930. #387C22×C37semidirect
931. #387C22×C37semidirect
932. #387C22×C37semidirect
933. #387C22×C37semidirect
934. #387C22×C37semidirect
935. #387C22×C37semidirect
936. #387C22×C37semidirect
937. #387C22×C37semidirect
959. #386C22×C37semidirect
960. #386C22×C37semidirect
961. #386C22×C37semidirect
968. #385C22×C37semidirect
969. #385C22×C37semidirect
970. #383C22×C37semidirect
971. #383C22×C37semidirect
972. #382C22×C37semidirect
976. #381C22×C37semidirect
981. C4×C4⋊C4C22×C37semidirect
982. C4×C4⋊C4C22×C37semidirect
992. C4×C22⋊C4C22×C37semidirect
993. C4×C22⋊C4C22×C37semidirect
994. C4×C22⋊C4C22×C37semidirect
995. C4×C22⋊C4C22×C37semidirect
996. C4×C22⋊C4C22×C37semidirect
997. C4×C22⋊C4C22×C37semidirect
1000. C37#35053direct (N × H)
1278. C22×C4#41×C37semidirect
1373. C22⋊C4#41×C37semidirect

Maximal subgroups

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

subgroupindex
C37×#28522
C37×#28502
C37×#28492
C37×#28472
C37×#26652
C37×#26612
C37×#26532
C37×#26482
C37×#25782
C37×#25762
C37×#25742
C37×#25722
C37×#25592
C37×#25572
C37×#25552
C37×#25542
C37×#25102
C37×#24722
C37×#24442
C37×#24382
C37×#24302
C37×#24242
C37×#24112
C37×#24042
C37×#23372
C37×#23352
C37×#23332
C4×#123×C372
C37×#22972
C2×C4×C22⋊C4×C372
#3505337