Finite Group Databasebeta

← C37×#35071 #22656324

Subgroups — C37×#35071 #22656324

Order 9472.

1916 conjugacy classes of subgroups.

The subgroup lattice has 1526 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2865C211yesmaximal, characteristic, complemented
2C37×#2861C211yesmaximal, characteristic, complemented
3C37×#2853C211yesmaximal, characteristic, complemented
4C37×#2850C211yesmaximal, characteristic, complemented
5C37×#2665C211yesmaximal, characteristic, complemented
6C37×#2661C211yesmaximal, characteristic, complemented
7C37×#2635C211yesmaximal, characteristic, complemented
8C37×#2630C211yesmaximal, characteristic, complemented
9C37×#2593C211yesmaximal, characteristic, complemented
10C37×#2573C211yesmaximal, characteristic, complemented
11C37×#2556C211yesmaximal, characteristic, complemented
12C37×#2555C211yesmaximal, characteristic, complemented
13C37×#2520C211yesmaximal, characteristic, complemented
14C37×#2518C211yesmaximal, characteristic, complemented
15C37×#2516C211yesmaximal, characteristic, complemented
16C37×#2463C211yesmaximal, characteristic, complemented
17C37×#2461C211yesmaximal, characteristic, complemented
18C37×#2460C211yesmaximal, characteristic, complemented
19C37×#2459C211yesmaximal, characteristic, complemented
20C37×#2459C211yesmaximal, characteristic, complemented
21C37×#2459C211yesmaximal, characteristic, complemented
22C37×#2457C211yesmaximal, characteristic, complemented
23C37×#2456C211yesmaximal, characteristic, complemented
24C37×#2456C211yesmaximal, characteristic, complemented
25C37×#2337C211yesmaximal, characteristic, complemented
26C37×#2335C211yesmaximal, characteristic, complemented
27C37×#2333C211yesmaximal, characteristic, complemented
28C37×#2332C211yesmaximal, characteristic, complemented
29C4×#123×C37C211yesmaximal, characteristic, complemented
30C4×#121×C37C211yesmaximal, characteristic, complemented
31C42×D4×C37C211yesmaximal, characteristic, complemented
32C2×#125×C37C2211yescharacteristic
33C2×#124×C37C2211yescharacteristic
34C2×#124×C37C2211yescharacteristic
35C2×#124×C37C2211yescharacteristic
36C2×#123×C37C2211yescharacteristic
37C2×#123×C37C2211yescharacteristic
38C2×#123×C37C2211yescharacteristic
39C2×C22⋊Q8×C37C2211yescharacteristic
40C2×C22⋊Q8×C37C2211yescharacteristic
41C2×#121×C37C2211yescharacteristic
42C2×#121×C37C2211yescharacteristic
43C2×#121×C37C2211yescharacteristic
44C2×C4×D4×C37C2211yescharacteristic
45C2×C4×D4×C37C2211yescharacteristic
46C2×C4×D4×C37C2211yescharacteristic
47C2×C4×D4×C37C2211yescharacteristic
48C2×C4×D4×C37C2211yescharacteristic
49C2×C4×D4×C37C2211yescharacteristic
50C2×C4×D4×C37C2211yescharacteristic
51C22×C42×C37C2211yescharacteristic
52C22×C42×C37C2211yescharacteristic
53C37×#400C2211yescharacteristic
54C37×#400C2211yescharacteristic
55C37×#400C2211yescharacteristic
56C37×#399C2211yescharacteristic
57C37×#398C2211yescharacteristic
58C37×#398C2211yescharacteristic
59C37×#397C2211yescharacteristic
60C37×#397C2211yescharacteristic
61C37×#396C2211yescharacteristic
62C37×#396C2211yescharacteristic
63C37×#396C2211yescharacteristic
64C37×#396C2211yescharacteristic
65C37×#395C2211yescharacteristic
66C37×#395C2211yescharacteristic
67C37×#394C2211yescharacteristic
68C37×#394C2211yescharacteristic
69C37×#394C2211yescharacteristic
70C37×#394C2211yescharacteristic
71C37×#394C2211yescharacteristic
72C37×#394C2211yescharacteristic
73C37×#394C2211yescharacteristic
74C37×#394C2211yescharacteristic
75C37×#394C2211yescharacteristic
76C37×#393C2211yescharacteristic
77C37×#393C2211yescharacteristic
78C37×#392C2211yescharacteristic
79C37×#392C2211yescharacteristic
80C37×#392C2211yescharacteristic
81C37×#392C2211yescharacteristic
82C37×#392C2211yescharacteristic
83C37×#392C2211yescharacteristic
84C37×#392C2211yescharacteristic
85C37×#391C2211yescharacteristic
86C37×#391C2211yescharacteristic
87C37×#391C2211yescharacteristic
88C37×#391C2211yescharacteristic
89C37×#391C2211yescharacteristic
90C37×#390C2211yescharacteristic
91C37×#390C2211yescharacteristic
92C37×#390C2211yescharacteristic
93C37×#390C2211yescharacteristic
94C37×#390C2211yescharacteristic
95C37×#389C2211yescharacteristic
96C37×#389C2211yescharacteristic
97C37×#388C2211yescharacteristic
98C37×#388C2211yescharacteristic
99C37×#388C2211yescharacteristic
100C37×#388C2211yescharacteristic
101C37×#388C2211yescharacteristic
102C37×#388C2211yescharacteristic
103C37×#388C2211yescharacteristic
104C37×#388C2211yescharacteristic
105C37×#388C2211yescharacteristic
106C37×#388C2211yescharacteristic
107C37×#388C2211yescharacteristic
108C37×#388C2211yescharacteristic
109C37×#388C2211yescharacteristic
110C37×#388C2211yescharacteristic
111C37×#388C2211yescharacteristic
112C37×#388C2211yescharacteristic
113C37×#388C2211yescharacteristic
114C37×#388C2211yescharacteristic
115C37×#388C2211yescharacteristic
116C37×#388C2211yescharacteristic
117C37×#388C2211yescharacteristic
118C37×#388C2211yescharacteristic
119C37×#388C2211yescharacteristic
120C37×#388C2211yescharacteristic
121C37×#388C2211yescharacteristic
122C37×#388C2211yescharacteristic
123C37×#388C2211yescharacteristic
124C37×#388C2211yescharacteristic
125C37×#388C2211yescharacteristic
126C37×#388C2211yescharacteristic
127C37×#387C2211yescharacteristic
128C37×#387C2211yescharacteristic
129C37×#387C2211yescharacteristic
130C37×#387C2211yescharacteristic
131C37×#387C2211yescharacteristic
132C37×#387C2211yescharacteristic
133C37×#387C2211yescharacteristic
134C37×#387C2211yescharacteristic
135C37×#387C2211yescharacteristic
136C37×#387C2211yescharacteristic
137C37×#387C2211yescharacteristic
138C37×#387C2211yescharacteristic
139C37×#387C2211yescharacteristic
140C37×#387C2211yescharacteristic
141C37×#387C2211yescharacteristic
142C37×#387C2211yescharacteristic
143C37×#386C2211yescharacteristic
144C37×#386C2211yescharacteristic
145C37×#386C2211yescharacteristic
146C37×#386C2211yescharacteristic
147C37×#386C2211yescharacteristic
148C37×#386C2211yescharacteristic
149C37×#386C2211yescharacteristic
150C37×#386C2211yescharacteristic
151C37×#386C2211yescharacteristic
152C37×#386C2211yescharacteristic
153C37×#386C2211yescharacteristic
154C37×#386C2211yescharacteristic
155C37×#386C2211yescharacteristic
156C37×#385C2211yescharacteristic
157C37×#385C2211yescharacteristic
158C37×#385C2211yescharacteristic
159C37×#385C2211yescharacteristic
160C37×#385C2211yescharacteristic
161C37×#383C2211yescharacteristic
162C37×#382C2211yescharacteristic
163C37×#381C2211yescharacteristic
164C37×#381C2211yescharacteristic
165C37×#381C2211yescharacteristic
166C37×#381C2211yescharacteristic
167C37×#380C2211yescharacteristic
168C37×#380C2211yescharacteristic
169C4×C4⋊C4×C37C2211yescharacteristic
170C4×C4⋊C4×C37C2211yescharacteristic
171C4×C4⋊C4×C37C2211yescharacteristic
172C4×C4⋊C4×C37C2211yescharacteristic
173C4×C4⋊C4×C37C2211yescharacteristic
174C4×C4⋊C4×C37C2211yescharacteristic
175C4×C22⋊C4×C37C2211yescharacteristic
176C4×C22⋊C4×C37C2211yescharacteristic
177C4×C22⋊C4×C37C2211yescharacteristic
178C4×C22⋊C4×C37C2211yescharacteristic
179C4×C22⋊C4×C37C2211yescharacteristic
180C4×C22⋊C4×C37C2211yescharacteristic
181C4×C22⋊C4×C37C2211yescharacteristic
182C4×C22⋊C4×C37C2211yescharacteristic
183C4×C22⋊C4×C37C2211yescharacteristic
184C4×C22⋊C4×C37C2211yescharacteristic
185C4×C22⋊C4×C37C2211yescharacteristic
186C43×C37C2211yescharacteristic
187C22×Q8×C37C2311yescharacteristic
188C22×Q8×C37C2311yescharacteristic
189C22×D4×C37C2311yescharacteristic
190C22×D4×C37C2311yescharacteristic
191C22×D4×C37C2311yescharacteristic
192C22×D4×C37C2311yescharacteristic
193C22×D4×C37C2311yescharacteristic
194C22×D4×C37C2311yescharacteristic
195C22×D4×C37C2311yescharacteristic
196C22×D4×C37C2311yescharacteristic
197C22×D4×C37C2311yescharacteristic
198C22×D4×C37C2311yescharacteristic
199C23×C4×C37C2311yescharacteristic
200C23×C4×C37C2311yescharacteristic
201C23×C4×C37C2311yescharacteristic
202C23×C4×C37C2311yescharacteristic
203C23×C4×C37C2311yescharacteristic
204C23×C4×C37C2311yescharacteristic
205C23×C4×C37C2311yescharacteristic
206C23×C4×C37C2311yescharacteristic
207C23×C4×C37C2311yescharacteristic
208#125×C37—42no—
209#124×C37—24no—
210#124×C37—42no—
211#124×C37—42no—
212#123×C37—24no—
213#123×C37—24no—
214#123×C37—42no—
215C22⋊Q8×C37—24no—
216C22⋊Q8×C37—42no—
217#121×C37—24no—
218#121×C37—24no—
219#121×C37—42no—
220C4×D4×C37—24no—
221C4×D4×C37—24no—
222C4×D4×C37—24no—
223C4×D4×C37—42no—
224C4×D4×C37—42no—
225C4×D4×C37—42no—
226C4×D4×C37—42no—
227C2×C4⋊C4×C37C2311yescharacteristic
228C2×C4⋊C4×C37C2311yescharacteristic
229C2×C4⋊C4×C37C2311yescharacteristic
230C2×C4⋊C4×C37C2311yescharacteristic
231C2×C4⋊C4×C37C2311yescharacteristic
232C2×C4⋊C4×C37C2311yescharacteristic
233C2×C4⋊C4×C37C2311yescharacteristic
234C2×C4⋊C4×C37C2311yescharacteristic
235C2×C4⋊C4×C37C2311yescharacteristic
236C2×C4⋊C4×C37C2311yescharacteristic
237C2×C4⋊C4×C37C2311yescharacteristic
238C2×C4⋊C4×C37C2311yescharacteristic
239C2×C4⋊C4×C37C2311yescharacteristic
240C2×C4⋊C4×C37C2311yescharacteristic
241C2×C4⋊C4×C37C2311yescharacteristic
242C2×C4⋊C4×C37C2311yescharacteristic
243C2×C4⋊C4×C37C2311yescharacteristic
244C2×C4⋊C4×C37C2311yescharacteristic
245C2×C4⋊C4×C37C2311yescharacteristic
246C2×C4⋊C4×C37C2311yescharacteristic
247C2×C4⋊C4×C37C2311yescharacteristic
248C2×C4⋊C4×C37C2311yescharacteristic
249C2×C4⋊C4×C37C2311yescharacteristic
250C2×C4⋊C4×C37C2311yescharacteristic
251C2×C4⋊C4×C37C2311yescharacteristic
252C2×C4⋊C4×C37C2311yescharacteristic
253C2×C22⋊C4×C37C2311yescharacteristic
254C2×C22⋊C4×C37C2311yescharacteristic
255C2×C22⋊C4×C37C2311yescharacteristic
256C2×C22⋊C4×C37C2311yescharacteristic
257C2×C22⋊C4×C37C2311yescharacteristic
258C2×C22⋊C4×C37C2311yescharacteristic
259C2×C22⋊C4×C37C2311yescharacteristic
260C2×C22⋊C4×C37C2311yescharacteristic
261C2×C22⋊C4×C37C2311yescharacteristic
262C2×C22⋊C4×C37C2311yescharacteristic
263C2×C22⋊C4×C37C2311yescharacteristic
264C2×C22⋊C4×C37C2311yescharacteristic
265C2×C22⋊C4×C37C2311yescharacteristic
266C2×C22⋊C4×C37C2311yescharacteristic
267C2×C22⋊C4×C37C2311yescharacteristic
268C2×C22⋊C4×C37C2311yescharacteristic
269C2×C22⋊C4×C37C2311yescharacteristic
270C2×C22⋊C4×C37C2311yescharacteristic
271C2×C22⋊C4×C37C2311yescharacteristic
272C2×C22⋊C4×C37C2311yescharacteristic
273C2×C22⋊C4×C37C2311yescharacteristic
274C2×C22⋊C4×C37C2311yescharacteristic
275C2×C22⋊C4×C37C2311yescharacteristic
276C2×C22⋊C4×C37C2311yescharacteristic
277C2×C22⋊C4×C37C2311yescharacteristic
278C2×C22⋊C4×C37C2311yescharacteristic
279C2×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×C42×C37—42no—
300C2×C42×C37—42no—
301C2×C42×C37C2311yescharacteristic
302C2×C42×C37C2311yescharacteristic
303C2×C42×C37C2311yescharacteristic
304C2×C42×C37C2311yescharacteristic
305C2×C42×C37C2311yescharacteristic
306C2×C42×C37C2311yescharacteristic
307C2×C42×C37C2311yescharacteristic
308C2×C42×C37C2311yescharacteristic
309C2×C42×C37C2311yescharacteristic
310C2×C42×C37C2311yescharacteristic
311C2×C42×C37C2311yescharacteristic
312C2×C42×C37C2311yescharacteristic
313C2×C42×C37C2311yescharacteristic
314C2×C42×C37C2311yescharacteristic
315C2×C42×C37C2311yescharacteristic
316C2×C42×C37C2311yescharacteristic
317C2×C42×C37C2311yescharacteristic
318C2×C42×C37C2311yescharacteristic
319#95×C37C2311yescharacteristic
320#95×C37C2311yescharacteristic
321#95×C37C2311yescharacteristic
322#95×C37C2311yescharacteristic
323#95×C37C2311yescharacteristic
324#95×C37C2311yescharacteristic
325#95×C37C2311yescharacteristic
326#95×C37C2311yescharacteristic
327#95×C37C2311yescharacteristic
328#95×C37C2311yescharacteristic
329#95×C37C2311yescharacteristic
330#95×C37C2311yescharacteristic
331#95×C37C2311yescharacteristic
332#95×C37C2311yescharacteristic
333#95×C37C2311yescharacteristic
334#95×C37C2311yescharacteristic
335#95×C37C2311yescharacteristic
336#95×C37C2311yescharacteristic
337#95×C37C2311yescharacteristic
338#95×C37C2311yescharacteristic
339#95×C37C2311yescharacteristic
340#95×C37C2311yescharacteristic
341#95×C37C2311yescharacteristic
342#95×C37C2311yescharacteristic
343#95×C37C2311yescharacteristic
344#95×C37C2311yescharacteristic
345#95×C37C2311yescharacteristic
346#95×C37C2311yescharacteristic
347#95×C37C2311yescharacteristic
348#95×C37C2311yescharacteristic
349#95×C37C2311yescharacteristic
350#95×C37C2311yescharacteristic
351#95×C37C2311yescharacteristic
352#95×C37C2311yescharacteristic
353#95×C37C2311yescharacteristic
354#95×C37C2311yescharacteristic
355#95×C37C2311yescharacteristic
356#95×C37C2311yescharacteristic
357#95×C37C2311yescharacteristic
358#95×C37C2311yescharacteristic
359#95×C37C2311yescharacteristic
360#95×C37C2311yescharacteristic
361#95×C37C2311yescharacteristic
362#95×C37C2311yescharacteristic
363C24×C37C2411yescharacteristic
364C24×C37C2411yescharacteristic
365C24×C37C2411yescharacteristic
366C24×C37C2411yescharacteristic
367C24×C37C2411yescharacteristic
368C2×Q8×C37—22no—
369C2×Q8×C37—22no—
370C2×Q8×C37—41no—
371C2×Q8×C37—41no—
372C2×Q8×C37—41no—
373C2×Q8×C37—41no—
374C2×D4×C37—22no—
375C2×D4×C37—22no—
376C2×D4×C37—22no—
377C2×D4×C37—22no—
378C2×D4×C37—22no—
379C2×D4×C37—22no—
380C2×D4×C37—22no—
381C2×D4×C37—22no—
382C2×D4×C37—22no—
383C2×D4×C37—22no—
384C2×D4×C37—22no—
385C2×D4×C37—22no—
386C2×D4×C37—41no—
387C2×D4×C37—41no—
388C2×D4×C37—41no—
389C2×D4×C37—41no—
390C2×D4×C37—41no—
391C2×D4×C37—41no—
392C2×D4×C37—41no—
393C2×D4×C37—41no—
394C2×D4×C37—41no—
395C2×D4×C37—41no—
396C2×D4×C37—41no—
397C2×D4×C37—41no—
398C2×D4×C37—41no—
399C2×D4×C37—41no—
400C2×D4×C37—41no—
401C2×D4×C37—41no—
402C2×D4×C37—41no—
403C2×D4×C37—41no—
404C22×C4×C37—22no—
405C22×C4×C37—22no—
406C22×C4×C37—22no—
407C22×C4×C37—22no—
408C22×C4×C37—22no—
409C22×C4×C37—22no—
410C22×C4×C37—22no—
411C22×C4×C37—22no—
412C22×C4×C37—22no—
413C22×C4×C37—22no—
414C22×C4×C37—22no—
415C22×C4×C37—22no—
416C22×C4×C37—41no—
417C22×C4×C37—41no—
418C22×C4×C37—41no—
419C22×C4×C37—41no—
420C22×C4×C37—41no—
421C22×C4×C37—41no—
422C22×C4×C37—41no—
423C22×C4×C37—41no—
424C22×C4×C37—41no—
425C22×C4×C37—41no—
426C22×C4×C37—41no—
427C22×C4×C37—41no—
428C22×C4×C37—41no—
429C22×C4×C37—41no—
430C22×C4×C37#4114yes—
431C22×C4×C37C2411yescharacteristic
432C22×C4×C37C2411yescharacteristic
433C22×C4×C37C2411yescharacteristic
434C22×C4×C37C2411yescharacteristic
435C22×C4×C37C2411yescharacteristic
436C22×C4×C37C2411yescharacteristic
437C22×C4×C37C2411yescharacteristic
438C22×C4×C37C2411yescharacteristic
439C22×C4×C37C2411yescharacteristic
440C22×C4×C37C2411yescharacteristic
441C22×C4×C37C2411yescharacteristic
442C22×C4×C37C2411yescharacteristic
443C22×C4×C37C2411yescharacteristic
444C22×C4×C37C2411yescharacteristic
445C22×C4×C37C2411yescharacteristic
446C22×C4×C37C2411yescharacteristic
447C22×C4×C37C2411yescharacteristic
448C22×C4×C37C2411yescharacteristic
449C22×C4×C37C2411yescharacteristic
450C22×C4×C37C2411yescharacteristic
451C22×C4×C37C2411yescharacteristic
452C22×C4×C37C2411yescharacteristic
453C22×C4×C37C2411yescharacteristic
454C22×C4×C37C2411yescharacteristic
455C22×C4×C37C2411yescharacteristic
456C22×C4×C37C2411yescharacteristic
457C4⋊C4×C37—22no—
458C4⋊C4×C37—22no—
459C4⋊C4×C37—22no—
460C4⋊C4×C37—22no—
461C4⋊C4×C37—22no—
462C4⋊C4×C37—22no—
463C4⋊C4×C37—22no—
464C4⋊C4×C37—22no—
465C4⋊C4×C37—22no—
466C4⋊C4×C37—22no—
467C4⋊C4×C37—22no—
468C4⋊C4×C37—22no—
469C4⋊C4×C37—22no—
470C4⋊C4×C37—41no—
471C4⋊C4×C37—41no—
472C4⋊C4×C37—41no—
473C4⋊C4×C37—41no—
474C4⋊C4×C37—41no—
475C4⋊C4×C37—41no—
476C4⋊C4×C37—41no—
477C4⋊C4×C37—41no—
478C4⋊C4×C37—41no—
479C4⋊C4×C37—41no—
480C4⋊C4×C37—41no—
481C4⋊C4×C37—41no—
482C4⋊C4×C37#4114yes—
483C22⋊C4×C37—22no—
484C22⋊C4×C37—22no—
485C22⋊C4×C37—22no—
486C22⋊C4×C37—22no—
487C22⋊C4×C37—22no—
488C22⋊C4×C37—22no—
489C22⋊C4×C37—22no—
490C22⋊C4×C37—22no—
491C22⋊C4×C37—22no—
492C22⋊C4×C37—22no—
493C22⋊C4×C37—22no—
494C22⋊C4×C37—22no—
495C22⋊C4×C37—22no—
496C22⋊C4×C37—22no—
497C22⋊C4×C37—22no—
498C22⋊C4×C37—22no—
499C22⋊C4×C37—22no—
500C22⋊C4×C37—22no—
501C22⋊C4×C37—22no—
502C22⋊C4×C37—22no—
503C22⋊C4×C37—22no—
504C22⋊C4×C37—22no—
505C22⋊C4×C37—22no—
506C22⋊C4×C37—22no—
507C22⋊C4×C37—22no—
508C22⋊C4×C37—41no—
509C22⋊C4×C37—41no—
510C22⋊C4×C37—41no—
511C22⋊C4×C37—41no—
512C22⋊C4×C37—41no—
513C22⋊C4×C37—41no—
514C22⋊C4×C37—41no—
515C22⋊C4×C37—41no—
516C22⋊C4×C37—41no—
517C22⋊C4×C37—41no—
518C22⋊C4×C37—41no—
519C22⋊C4×C37—41no—
520C22⋊C4×C37—41no—
521C22⋊C4×C37—41no—
522C22⋊C4×C37—41no—
523C22⋊C4×C37—41no—
524C22⋊C4×C37—41no—
525C22⋊C4×C37—41no—
526C22⋊C4×C37—41no—
527C22⋊C4×C37—41no—
528C22⋊C4×C37#4114yes—
529C42×C37—22no—
530C42×C37—22no—
531C42×C37—22no—
532C42×C37—22no—
533C42×C37—22no—
534C42×C37—22no—
535C42×C37—22no—
536C42×C37—22no—
537C42×C37—41no—
538C42×C37—41no—
539C42×C37—41no—
540C42×C37—41no—
541C42×C37—41no—
542C42×C37—41no—
543C42×C37—41no—
544C42×C37—41no—
545C42×C37—41no—
546C42×C37—41no—
547C23×C37—21no—
548C23×C37—21no—
549C23×C37—21no—
550C23×C37—21no—
551C23×C37—21no—
552C23×C37—21no—
553C23×C37—21no—
554C23×C37—21no—
555C23×C37—21no—
556C23×C37—21no—
557C23×C37—21no—
558C23×C37—21no—
559C23×C37—21no—
560C23×C37—21no—
561C23×C37—21no—
562C23×C37—21no—
563C23×C37—21no—
564C23×C37—21no—
565C23×C37—21no—
566C23×C37—21no—
567C23×C37—21no—
568C23×C37—21no—
569C23×C37—21no—
570C23×C37—21no—
571C23×C37—21no—
572C23×C37—21no—
573C23×C37—21no—
574C23×C37—21no—
575C23×C37—21no—
576C23×C37—21no—
577C23×C37—21no—
578C23×C37—21no—
579C23×C37—21no—
580C23×C37C2×#4112yes—
581C23×C37C2×#4112yes—
582C23×C37C2511yescharacteristic
583Q8×C37—82no—
584Q8×C37—82no—
585D4×C37—28no—
586D4×C37—44no—
587D4×C37—44no—
588D4×C37—44no—
589D4×C37—44no—
590D4×C37—82no—
591D4×C37—82no—
592D4×C37—82no—
593D4×C37—82no—
594D4×C37—82no—
595C2×C4×C37—21no—
596C2×C4×C37—21no—
597C2×C4×C37—21no—
598C2×C4×C37—21no—
599C2×C4×C37—21no—
600C2×C4×C37—21no—
601C2×C4×C37—21no—
602C2×C4×C37—21no—
603C2×C4×C37—21no—
604C2×C4×C37—21no—
605C2×C4×C37—21no—
606C2×C4×C37—21no—
607C2×C4×C37—21no—
608C2×C4×C37—21no—
609C2×C4×C37—21no—
610C2×C4×C37—21no—
611C2×C4×C37—21no—
612C2×C4×C37—21no—
613C2×C4×C37—21no—
614C2×C4×C37—21no—
615C2×C4×C37—21no—
616C2×C4×C37—21no—
617C2×C4×C37—21no—
618C2×C4×C37—21no—
619C2×C4×C37—21no—
620C2×C4×C37—21no—
621C2×C4×C37—21no—
622C2×C4×C37—21no—
623C2×C4×C37—21no—
624C2×C4×C37—21no—
625C2×C4×C37—21no—
626C2×C4×C37—21no—
627C2×C4×C37—21no—
628C2×C4×C37—21no—
629C2×C4×C37—21no—
630C2×C4×C37—21no—
631C2×C4×C37—21no—
632C2×C4×C37—21no—
633C2×C4×C37—21no—
634C2×C4×C37—21no—
635C2×C4×C37—21no—
636C2×C4×C37—21no—
637C2×C4×C37—21no—
638C2×C4×C37—21no—
639C2×C4×C37—21no—
640C2×C4×C37—21no—
641C2×C4×C37—21no—
642C2×C4×C37—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—44no—
665C2×C4×C37—44no—
666C2×C4×C37—44no—
667C2×C4×C37—44no—
668C2×C4×C37—44no—
669C2×C4×C37—44no—
670C2×C4×C37—82no—
671C2×C4×C37—82no—
672C2×C4×C37—82no—
673C2×C4×C37C2×#4112yes—
674C2×C4×C37C2×#4112yes—
675C2×C4×C37C2×#4112yes—
676C2×C4×C37C2×#4112yes—
677C2×C4×C37C2×#4112yes—
678C2×C4×C37C2×#4112yes—
679C2×C4×C37C2×#4112yes—
680C2×C4×C37H(5,𝔽2)12yes—
681C2×C4×C37H(5,𝔽2)12yes—
682#35071C3711yesmaximal, characteristic, direct product factor, Sylow
683C22×C37—22no—
684C22×C37—22no—
685C22×C37—22no—
686C22×C37—22no—
687C22×C37—22no—
688C22×C37—22no—
689C22×C37—41no—
690C22×C37—41no—
691C22×C37—41no—
692C22×C37—41no—
693C22×C37—41no—
694C22×C37—41no—
695C22×C37—41no—
696C22×C37—41no—
697C22×C37—41no—
698C22×C37—41no—
699C22×C37—41no—
700C22×C37—41no—
701C22×C37—41no—
702C22×C37—41no—
703C22×C37—41no—
704C22×C37—41no—
705C22×C37—41no—
706C22×C37—41no—
707C22×C37—41no—
708C22×C37—41no—
709C22×C37—41no—
710C22×C37—41no—
711C22×C37—41no—
712C22×C37—41no—
713C22×C37—41no—
714C22×C37—41no—
715C22×C37—41no—
716C22×C37—41no—
717C22×C37—41no—
718C22×C37C22×#4111yescharacteristic
719C22×C37C22×#4111yescharacteristic
720C22×C37C22×#4111yescharacteristic
721C22×C37C2×H(5,𝔽2)11yescharacteristic
722C22×C37C2×H(5,𝔽2)11yescharacteristic
723C22×C37#58511yescharacteristic
724C22×C37#58511yescharacteristic
725C4×C37—22no—
726C4×C37—22no—
727C4×C37—22no—
728C4×C37—22no—
729C4×C37—22no—
730C4×C37—22no—
731C4×C37—22no—
732C4×C37—22no—
733C4×C37—22no—
734C4×C37—41no—
735C4×C37—41no—
736C4×C37—41no—
737C4×C37—41no—
738C4×C37—41no—
739C4×C37—41no—
740C4×C37—41no—
741C4×C37—41no—
742C4×C37—41no—
743C4×C37—41no—
744C4×C37—41no—
745C4×C37—41no—
746C4×C37—41no—
747C4×C37—41no—
748C4×C37—41no—
749C4×C37—41no—
750C4×C37—41no—
751#2865C2×C3711yescharacteristic, complemented
752#2861C2×C3711yescharacteristic, complemented
753#2853C2×C3711yescharacteristic, complemented
754#2850C2×C3711yescharacteristic, complemented
755#2665C2×C3711yescharacteristic, complemented
756#2661C2×C3711yescharacteristic, complemented
757#2635C2×C3711yescharacteristic, complemented
758#2630C2×C3711yescharacteristic, complemented
759#2593C2×C3711yescharacteristic, complemented
760#2573C2×C3711yescharacteristic, complemented
761#2556C2×C3711yescharacteristic, complemented
762#2555C2×C3711yescharacteristic, complemented
763#2520C2×C3711yescharacteristic, complemented
764#2518C2×C3711yescharacteristic, complemented
765#2516C2×C3711yescharacteristic, complemented
766#2463C2×C3711yescharacteristic, complemented
767#2461C2×C3711yescharacteristic, complemented
768#2460C2×C3711yescharacteristic, complemented
769#2459C2×C3711yescharacteristic, complemented
770#2459C2×C3711yescharacteristic, complemented
771#2459C2×C3711yescharacteristic, complemented
772#2457C2×C3711yescharacteristic, complemented
773#2456C2×C3711yescharacteristic, complemented
774#2456C2×C3711yescharacteristic, complemented
775#2337C2×C3711yescharacteristic, complemented
776#2335C2×C3711yescharacteristic, complemented
777#2333C2×C3711yescharacteristic, complemented
778#2332C2×C3711yescharacteristic, complemented
779C4×#123C2×C3711yescharacteristic, complemented
780C4×#121C2×C3711yescharacteristic, complemented
781C42×D4C2×C3711yescharacteristic, complemented
782C2×C37—42no—
783C2×C37—42no—
784C2×C37—81no—
785C2×C37—81no—
786C2×C37—81no—
787C2×C37#344411yescharacteristic
788C2×C37#345911yescharacteristic
789C2×C37#346011yescharacteristic
790C2×C37#351311yescharacteristic
791C2×C37#351411yescharacteristic
792C2×C37#351911yescharacteristic
793C2×C37#352411yescharacteristic
794C2×#125C22×C3711yescharacteristic
795C2×#124C22×C3711yescharacteristic
796C2×#124C22×C3711yescharacteristic
797C2×#124C22×C3711yescharacteristic
798C2×#123C22×C3711yescharacteristic
799C2×#123C22×C3711yescharacteristic
800C2×#123C22×C3711yescharacteristic
801C2×C22⋊Q8C22×C3711yescharacteristic
802C2×C22⋊Q8C22×C3711yescharacteristic
803C2×#121C22×C3711yescharacteristic
804C2×#121C22×C3711yescharacteristic
805C2×#121C22×C3711yescharacteristic
806C2×C4×D4C22×C3711yescharacteristic
807C2×C4×D4C22×C3711yescharacteristic
808C2×C4×D4C22×C3711yescharacteristic
809C2×C4×D4C22×C3711yescharacteristic
810C2×C4×D4C22×C3711yescharacteristic
811C2×C4×D4C22×C3711yescharacteristic
812C2×C4×D4C22×C3711yescharacteristic
813C22×C42C22×C3711yescharacteristic
814C22×C42C22×C3711yescharacteristic
815#400C22×C3711yescharacteristic
816#400C22×C3711yescharacteristic
817#400C22×C3711yescharacteristic
818#399C22×C3711yescharacteristic
819#398C22×C3711yescharacteristic
820#398C22×C3711yescharacteristic
821#397C22×C3711yescharacteristic
822#397C22×C3711yescharacteristic
823#396C22×C3711yescharacteristic
824#396C22×C3711yescharacteristic
825#396C22×C3711yescharacteristic
826#396C22×C3711yescharacteristic
827#395C22×C3711yescharacteristic
828#395C22×C3711yescharacteristic
829#394C22×C3711yescharacteristic
830#394C22×C3711yescharacteristic
831#394C22×C3711yescharacteristic
832#394C22×C3711yescharacteristic
833#394C22×C3711yescharacteristic
834#394C22×C3711yescharacteristic
835#394C22×C3711yescharacteristic
836#394C22×C3711yescharacteristic
837#394C22×C3711yescharacteristic
838#393C22×C3711yescharacteristic
839#393C22×C3711yescharacteristic
840#392C22×C3711yescharacteristic
841#392C22×C3711yescharacteristic
842#392C22×C3711yescharacteristic
843#392C22×C3711yescharacteristic
844#392C22×C3711yescharacteristic
845#392C22×C3711yescharacteristic
846#392C22×C3711yescharacteristic
847#391C22×C3711yescharacteristic
848#391C22×C3711yescharacteristic
849#391C22×C3711yescharacteristic
850#391C22×C3711yescharacteristic
851#391C22×C3711yescharacteristic
852#390C22×C3711yescharacteristic
853#390C22×C3711yescharacteristic
854#390C22×C3711yescharacteristic
855#390C22×C3711yescharacteristic
856#390C22×C3711yescharacteristic
857#389C22×C3711yescharacteristic
858#389C22×C3711yescharacteristic
859#388C22×C3711yescharacteristic
860#388C22×C3711yescharacteristic
861#388C22×C3711yescharacteristic
862#388C22×C3711yescharacteristic
863#388C22×C3711yescharacteristic
864#388C22×C3711yescharacteristic
865#388C22×C3711yescharacteristic
866#388C22×C3711yescharacteristic
867#388C22×C3711yescharacteristic
868#388C22×C3711yescharacteristic
869#388C22×C3711yescharacteristic
870#388C22×C3711yescharacteristic
871#388C22×C3711yescharacteristic
872#388C22×C3711yescharacteristic
873#388C22×C3711yescharacteristic
874#388C22×C3711yescharacteristic
875#388C22×C3711yescharacteristic
876#388C22×C3711yescharacteristic
877#388C22×C3711yescharacteristic
878#388C22×C3711yescharacteristic
879#388C22×C3711yescharacteristic
880#388C22×C3711yescharacteristic
881#388C22×C3711yescharacteristic
882#388C22×C3711yescharacteristic
883#388C22×C3711yescharacteristic
884#388C22×C3711yescharacteristic
885#388C22×C3711yescharacteristic
886#388C22×C3711yescharacteristic
887#388C22×C3711yescharacteristic
888#388C22×C3711yescharacteristic
889#387C22×C3711yescharacteristic
890#387C22×C3711yescharacteristic
891#387C22×C3711yescharacteristic
892#387C22×C3711yescharacteristic
893#387C22×C3711yescharacteristic
894#387C22×C3711yescharacteristic
895#387C22×C3711yescharacteristic
896#387C22×C3711yescharacteristic
897#387C22×C3711yescharacteristic
898#387C22×C3711yescharacteristic
899#387C22×C3711yescharacteristic
900#387C22×C3711yescharacteristic
901#387C22×C3711yescharacteristic
902#387C22×C3711yescharacteristic
903#387C22×C3711yescharacteristic
904#387C22×C3711yescharacteristic
905#386C22×C3711yescharacteristic
906#386C22×C3711yescharacteristic
907#386C22×C3711yescharacteristic
908#386C22×C3711yescharacteristic
909#386C22×C3711yescharacteristic
910#386C22×C3711yescharacteristic
911#386C22×C3711yescharacteristic
912#386C22×C3711yescharacteristic
913#386C22×C3711yescharacteristic
914#386C22×C3711yescharacteristic
915#386C22×C3711yescharacteristic
916#386C22×C3711yescharacteristic
917#386C22×C3711yescharacteristic
918#385C22×C3711yescharacteristic
919#385C22×C3711yescharacteristic
920#385C22×C3711yescharacteristic
921#385C22×C3711yescharacteristic
922#385C22×C3711yescharacteristic
923#383C22×C3711yescharacteristic
924#382C22×C3711yescharacteristic
925#381C22×C3711yescharacteristic
926#381C22×C3711yescharacteristic
927#381C22×C3711yescharacteristic
928#381C22×C3711yescharacteristic
929#380C22×C3711yescharacteristic
930#380C22×C3711yescharacteristic
931C4×C4⋊C4C22×C3711yescharacteristic
932C4×C4⋊C4C22×C3711yescharacteristic
933C4×C4⋊C4C22×C3711yescharacteristic
934C4×C4⋊C4C22×C3711yescharacteristic
935C4×C4⋊C4C22×C3711yescharacteristic
936C4×C4⋊C4C22×C3711yescharacteristic
937C4×C22⋊C4C22×C3711yescharacteristic
938C4×C22⋊C4C22×C3711yescharacteristic
939C4×C22⋊C4C22×C3711yescharacteristic
940C4×C22⋊C4C22×C3711yescharacteristic
941C4×C22⋊C4C22×C3711yescharacteristic
942C4×C22⋊C4C22×C3711yescharacteristic
943C4×C22⋊C4C22×C3711yescharacteristic
944C4×C22⋊C4C22×C3711yescharacteristic
945C4×C22⋊C4C22×C3711yescharacteristic
946C4×C22⋊C4C22×C3711yescharacteristic
947C4×C22⋊C4C22×C3711yescharacteristic
948C43C22×C3711yescharacteristic
949C37#3507111yescharacteristic, direct product factor, Sylow
950C22×Q8C23×C3711yescharacteristic
951C22×Q8C23×C3711yescharacteristic
952C22×D4C23×C3711yescharacteristic
953C22×D4C23×C3711yescharacteristic
954C22×D4C23×C3711yescharacteristic
955C22×D4C23×C3711yescharacteristic
956C22×D4C23×C3711yescharacteristic
957C22×D4C23×C3711yescharacteristic
958C22×D4C23×C3711yescharacteristic
959C22×D4C23×C3711yescharacteristic
960C22×D4C23×C3711yescharacteristic
961C22×D4C23×C3711yescharacteristic
962C23×C4C23×C3711yescharacteristic
963C23×C4C23×C3711yescharacteristic
964C23×C4C23×C3711yescharacteristic
965C23×C4C23×C3711yescharacteristic
966C23×C4C23×C3711yescharacteristic
967C23×C4C23×C3711yescharacteristic
968C23×C4C23×C3711yescharacteristic
969C23×C4C23×C3711yescharacteristic
970C23×C4C23×C3711yescharacteristic
971#125—42no—
972#124—24no—
973#124—42no—
974#124—42no—
975#123—24no—
976#123—24no—
977#123—42no—
978C22⋊Q8—24no—
979C22⋊Q8—42no—
980#121—24no—
981#121—24no—
982#121—42no—
983C4×D4—24no—
984C4×D4—24no—
985C4×D4—24no—
986C4×D4—42no—
987C4×D4—42no—
988C4×D4—42no—
989C4×D4—42no—
990C2×C4⋊C4C23×C3711yescharacteristic
991C2×C4⋊C4C23×C3711yescharacteristic
992C2×C4⋊C4C23×C3711yescharacteristic
993C2×C4⋊C4C23×C3711yescharacteristic
994C2×C4⋊C4C23×C3711yescharacteristic
995C2×C4⋊C4C23×C3711yescharacteristic
996C2×C4⋊C4C23×C3711yescharacteristic
997C2×C4⋊C4C23×C3711yescharacteristic
998C2×C4⋊C4C23×C3711yescharacteristic
999C2×C4⋊C4C23×C3711yescharacteristic
1000C2×C4⋊C4C23×C3711yescharacteristic
1001C2×C4⋊C4C23×C3711yescharacteristic
1002C2×C4⋊C4C23×C3711yescharacteristic
1003C2×C4⋊C4C23×C3711yescharacteristic
1004C2×C4⋊C4C23×C3711yescharacteristic
1005C2×C4⋊C4C23×C3711yescharacteristic
1006C2×C4⋊C4C23×C3711yescharacteristic
1007C2×C4⋊C4C23×C3711yescharacteristic
1008C2×C4⋊C4C23×C3711yescharacteristic
1009C2×C4⋊C4C23×C3711yescharacteristic
1010C2×C4⋊C4C23×C3711yescharacteristic
1011C2×C4⋊C4C23×C3711yescharacteristic
1012C2×C4⋊C4C23×C3711yescharacteristic
1013C2×C4⋊C4C23×C3711yescharacteristic
1014C2×C4⋊C4C23×C3711yescharacteristic
1015C2×C4⋊C4C23×C3711yescharacteristic
1016C2×C22⋊C4C23×C3711yescharacteristic
1017C2×C22⋊C4C23×C3711yescharacteristic
1018C2×C22⋊C4C23×C3711yescharacteristic
1019C2×C22⋊C4C23×C3711yescharacteristic
1020C2×C22⋊C4C23×C3711yescharacteristic
1021C2×C22⋊C4C23×C3711yescharacteristic
1022C2×C22⋊C4C23×C3711yescharacteristic
1023C2×C22⋊C4C23×C3711yescharacteristic
1024C2×C22⋊C4C23×C3711yescharacteristic
1025C2×C22⋊C4C23×C3711yescharacteristic
1026C2×C22⋊C4C23×C3711yescharacteristic
1027C2×C22⋊C4C23×C3711yescharacteristic
1028C2×C22⋊C4C23×C3711yescharacteristic
1029C2×C22⋊C4C23×C3711yescharacteristic
1030C2×C22⋊C4C23×C3711yescharacteristic
1031C2×C22⋊C4C23×C3711yescharacteristic
1032C2×C22⋊C4C23×C3711yescharacteristic
1033C2×C22⋊C4C23×C3711yescharacteristic
1034C2×C22⋊C4C23×C3711yescharacteristic
1035C2×C22⋊C4C23×C3711yescharacteristic
1036C2×C22⋊C4C23×C3711yescharacteristic
1037C2×C22⋊C4C23×C3711yescharacteristic
1038C2×C22⋊C4C23×C3711yescharacteristic
1039C2×C22⋊C4C23×C3711yescharacteristic
1040C2×C22⋊C4C23×C3711yescharacteristic
1041C2×C22⋊C4C23×C3711yescharacteristic
1042C2×C22⋊C4C23×C3711yescharacteristic
1043C2×C22⋊C4C23×C3711yescharacteristic
1044C2×C22⋊C4C23×C3711yescharacteristic
1045C2×C22⋊C4C23×C3711yescharacteristic
1046C2×C22⋊C4C23×C3711yescharacteristic
1047C2×C22⋊C4C23×C3711yescharacteristic
1048C2×C22⋊C4C23×C3711yescharacteristic
1049C2×C22⋊C4C23×C3711yescharacteristic
1050C2×C22⋊C4C23×C3711yescharacteristic
1051C2×C22⋊C4C23×C3711yescharacteristic
1052C2×C22⋊C4C23×C3711yescharacteristic
1053C2×C22⋊C4C23×C3711yescharacteristic
1054C2×C22⋊C4C23×C3711yescharacteristic
1055C2×C22⋊C4C23×C3711yescharacteristic
1056C2×C22⋊C4C23×C3711yescharacteristic
1057C2×C22⋊C4C23×C3711yescharacteristic
1058C2×C22⋊C4C23×C3711yescharacteristic
1059C2×C22⋊C4C23×C3711yescharacteristic
1060C2×C22⋊C4C23×C3711yescharacteristic
1061C2×C22⋊C4C23×C3711yescharacteristic
1062C2×C42—42no—
1063C2×C42—42no—
1064C2×C42C23×C3711yescharacteristic
1065C2×C42C23×C3711yescharacteristic
1066C2×C42C23×C3711yescharacteristic
1067C2×C42C23×C3711yescharacteristic
1068C2×C42C23×C3711yescharacteristic
1069C2×C42C23×C3711yescharacteristic
1070C2×C42C23×C3711yescharacteristic
1071C2×C42C23×C3711yescharacteristic
1072C2×C42C23×C3711yescharacteristic
1073C2×C42C23×C3711yescharacteristic
1074C2×C42C23×C3711yescharacteristic
1075C2×C42C23×C3711yescharacteristic
1076C2×C42C23×C3711yescharacteristic
1077C2×C42C23×C3711yescharacteristic
1078C2×C42C23×C3711yescharacteristic
1079C2×C42C23×C3711yescharacteristic
1080C2×C42C23×C3711yescharacteristic
1081C2×C42C23×C3711yescharacteristic
1082#95C23×C3711yescharacteristic
1083#95C23×C3711yescharacteristic
1084#95C23×C3711yescharacteristic
1085#95C23×C3711yescharacteristic
1086#95C23×C3711yescharacteristic
1087#95C23×C3711yescharacteristic
1088#95C23×C3711yescharacteristic
1089#95C23×C3711yescharacteristic
1090#95C23×C3711yescharacteristic
1091#95C23×C3711yescharacteristic
1092#95C23×C3711yescharacteristic
1093#95C23×C3711yescharacteristic
1094#95C23×C3711yescharacteristic
1095#95C23×C3711yescharacteristic
1096#95C23×C3711yescharacteristic
1097#95C23×C3711yescharacteristic
1098#95C23×C3711yescharacteristic
1099#95C23×C3711yescharacteristic
1100#95C23×C3711yescharacteristic
1101#95C23×C3711yescharacteristic
1102#95C23×C3711yescharacteristic
1103#95C23×C3711yescharacteristic
1104#95C23×C3711yescharacteristic
1105#95C23×C3711yescharacteristic
1106#95C23×C3711yescharacteristic
1107#95C23×C3711yescharacteristic
1108#95C23×C3711yescharacteristic
1109#95C23×C3711yescharacteristic
1110#95C23×C3711yescharacteristic
1111#95C23×C3711yescharacteristic
1112#95C23×C3711yescharacteristic
1113#95C23×C3711yescharacteristic
1114#95C23×C3711yescharacteristic
1115#95C23×C3711yescharacteristic
1116#95C23×C3711yescharacteristic
1117#95C23×C3711yescharacteristic
1118#95C23×C3711yescharacteristic
1119#95C23×C3711yescharacteristic
1120#95C23×C3711yescharacteristic
1121#95C23×C3711yescharacteristic
1122#95C23×C3711yescharacteristic
1123#95C23×C3711yescharacteristic
1124#95C23×C3711yescharacteristic
1125#95C23×C3711yescharacteristic
1126C24C24×C3711yescharacteristic
1127C24C24×C3711yescharacteristic
1128C24C24×C3711yescharacteristic
1129C24C24×C3711yescharacteristic
1130C24C24×C3711yescharacteristic
1131C2×Q8—22no—
1132C2×Q8—22no—
1133C2×Q8—41no—
1134C2×Q8—41no—
1135C2×Q8—41no—
1136C2×Q8—41no—
1137C2×D4—22no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—22no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4#41×C3714yes—
1194C22×C4C24×C3711yescharacteristic
1195C22×C4C24×C3711yescharacteristic
1196C22×C4C24×C3711yescharacteristic
1197C22×C4C24×C3711yescharacteristic
1198C22×C4C24×C3711yescharacteristic
1199C22×C4C24×C3711yescharacteristic
1200C22×C4C24×C3711yescharacteristic
1201C22×C4C24×C3711yescharacteristic
1202C22×C4C24×C3711yescharacteristic
1203C22×C4C24×C3711yescharacteristic
1204C22×C4C24×C3711yescharacteristic
1205C22×C4C24×C3711yescharacteristic
1206C22×C4C24×C3711yescharacteristic
1207C22×C4C24×C3711yescharacteristic
1208C22×C4C24×C3711yescharacteristic
1209C22×C4C24×C3711yescharacteristic
1210C22×C4C24×C3711yescharacteristic
1211C22×C4C24×C3711yescharacteristic
1212C22×C4C24×C3711yescharacteristic
1213C22×C4C24×C3711yescharacteristic
1214C22×C4C24×C3711yescharacteristic
1215C22×C4C24×C3711yescharacteristic
1216C22×C4C24×C3711yescharacteristic
1217C22×C4C24×C3711yescharacteristic
1218C22×C4C24×C3711yescharacteristic
1219C22×C4C24×C3711yescharacteristic
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4#41×C3714yes—
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—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4#41×C3714yes—
1292C42—22no—
1293C42—22no—
1294C42—22no—
1295C42—22no—
1296C42—22no—
1297C42—22no—
1298C42—22no—
1299C42—22no—
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23C2×#41×C3712yes—
1344C23C2×#41×C3712yes—
1345C23C25×C3711yescharacteristic
1346Q8—82no—
1347Q8—82no—
1348D4—28no—
1349D4—44no—
1350D4—44no—
1351D4—44no—
1352D4—44no—
1353D4—82no—
1354D4—82no—
1355D4—82no—
1356D4—82no—
1357D4—82no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—44no—
1428C2×C4—44no—
1429C2×C4—44no—
1430C2×C4—44no—
1431C2×C4—44no—
1432C2×C4—44no—
1433C2×C4—82no—
1434C2×C4—82no—
1435C2×C4—82no—
1436C2×C4C2×#41×C3712yes—
1437C2×C4C2×#41×C3712yes—
1438C2×C4C2×#41×C3712yes—
1439C2×C4C2×#41×C3712yes—
1440C2×C4C2×#41×C3712yes—
1441C2×C4C2×#41×C3712yes—
1442C2×C4C2×#41×C3712yes—
1443C2×C4H(5,𝔽2)×C3712yes—
1444C2×C4H(5,𝔽2)×C3712yes—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22C22×#41×C3711yescharacteristic
1481C22C22×#41×C3711yescharacteristic
1482C22C22×#41×C3711yescharacteristic
1483C22C2×H(5,𝔽2)×C3711yescharacteristic
1484C22C2×H(5,𝔽2)×C3711yescharacteristic
1485C22C37×#58511yescharacteristic
1486C22C37×#58511yescharacteristic
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—22no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C2—42no—
1514C2—42no—
1515C2—81no—
1516C2—81no—
1517C2—81no—
1518C2C37×#344411yescharacteristic
1519C2C37×#345911yescharacteristic
1520C2C37×#346011yescharacteristic
1521C2C37×#351311yescharacteristic
1522C2C37×#351411yescharacteristic
1523C2C37×#351911yescharacteristic
1524C2C37×#352411yescharacteristic
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×#2865C2semidirect
2. C37×#2861C2semidirect
3. C37×#2853C2semidirect
4. C37×#2850C2semidirect
5. C37×#2665C2semidirect
6. C37×#2661C2semidirect
7. C37×#2635C2semidirect
8. C37×#2630C2semidirect
9. C37×#2593C2semidirect
10. C37×#2573C2semidirect
11. C37×#2556C2semidirect
12. C37×#2555C2semidirect
13. C37×#2520C2semidirect
14. C37×#2518C2semidirect
15. C37×#2516C2semidirect
16. C37×#2463C2semidirect
17. C37×#2461C2semidirect
18. C37×#2460C2semidirect
19. C37×#2459C2semidirect
20. C37×#2459C2semidirect
21. C37×#2459C2semidirect
22. C37×#2457C2semidirect
23. C37×#2456C2semidirect
24. C37×#2456C2semidirect
25. C37×#2337C2semidirect
26. C37×#2335C2semidirect
27. C37×#2333C2semidirect
28. C37×#2332C2semidirect
29. C4×#123×C37C2semidirect
30. C4×#121×C37C2semidirect
31. C42×D4×C37C2semidirect
682. #35071C37direct (N × H)
751. #2865C2×C37semidirect
752. #2861C2×C37semidirect
753. #2853C2×C37semidirect
754. #2850C2×C37semidirect
755. #2665C2×C37semidirect
756. #2661C2×C37semidirect
757. #2635C2×C37semidirect
758. #2630C2×C37semidirect
759. #2593C2×C37semidirect
760. #2573C2×C37semidirect
761. #2556C2×C37semidirect
762. #2555C2×C37semidirect
763. #2520C2×C37semidirect
764. #2518C2×C37semidirect
765. #2516C2×C37semidirect
766. #2463C2×C37semidirect
767. #2461C2×C37semidirect
768. #2460C2×C37semidirect
769. #2459C2×C37semidirect
770. #2459C2×C37semidirect
771. #2459C2×C37semidirect
772. #2457C2×C37semidirect
773. #2456C2×C37semidirect
774. #2456C2×C37semidirect
775. #2337C2×C37semidirect
776. #2335C2×C37semidirect
777. #2333C2×C37semidirect
778. #2332C2×C37semidirect
779. C4×#123C2×C37semidirect
780. C4×#121C2×C37semidirect
781. C42×D4C2×C37semidirect
949. C37#35071direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#28652
C37×#28612
C37×#28532
C37×#28502
C37×#26652
C37×#26612
C37×#26352
C37×#26302
C37×#25932
C37×#25732
C37×#25562
C37×#25552
C37×#25202
C37×#25182
C37×#25162
C37×#24632
C37×#24612
C37×#24602
C37×#24592
C37×#24572
C37×#24562
C37×#23372
C37×#23352
C37×#23332
C37×#23322
C4×#123×C372
C4×#121×C372
C42×D4×C372
#3507137