Finite Group Databasebeta

← C37×#36771 #22658024

Subgroups — C37×#36771 #22658024

Order 9472.

1822 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2856C211yesmaximal, characteristic, complemented
2C37×#2855C211yesmaximal, characteristic, complemented
3C37×#2796C211yesmaximal, characteristic, complemented
4C37×#2794C211yesmaximal, characteristic, complemented
5C37×#2751C211yesmaximal, characteristic, complemented
6C37×#2730C211yesmaximal, characteristic, complemented
7C37×#2721C211yesmaximal, characteristic, complemented
8C37×#2714C211yesmaximal, characteristic, complemented
9C37×#2711C211yesmaximal, characteristic, complemented
10C37×#2709C211yesmaximal, characteristic, complemented
11C37×#2708C211yesmaximal, characteristic, complemented
12C37×#2705C211yesmaximal, characteristic, complemented
13C37×#2703C211yesmaximal, characteristic, complemented
14C37×#2691C211yesmaximal, characteristic, complemented
15C37×#2688C211yesmaximal, characteristic, complemented
16C37×#2681C211yesmaximal, characteristic, complemented
17C37×#2676C211yesmaximal, characteristic, complemented
18C37×#2673C211yesmaximal, characteristic, complemented
19C37×#2635C211yesmaximal, characteristic, complemented
20C37×#2635C211yesmaximal, characteristic, complemented
21C37×#2560C211yesmaximal, characteristic, complemented
22C37×#2559C211yesmaximal, characteristic, complemented
23C37×#2558C211yesmaximal, characteristic, complemented
24C37×#2557C211yesmaximal, characteristic, complemented
25C37×#2531C211yesmaximal, characteristic, complemented
26C37×#2526C211yesmaximal, characteristic, complemented
27C37×#2476C211yesmaximal, characteristic, complemented
28C37×#2471C211yesmaximal, characteristic, complemented
29C37×#2333C211yesmaximal, characteristic, complemented
30C37×#2333C211yesmaximal, characteristic, complemented
31C37×#2290C211yesmaximal, characteristic, complemented
32C2×#127×C37C2211yescharacteristic
33C2×#126×C37C2211yescharacteristic
34C2×#126×C37C2211yescharacteristic
35C2×#125×C37C2211yescharacteristic
36C2×#124×C37C2211yescharacteristic
37C2×#123×C37C2211yescharacteristic
38C2×#123×C37C2211yescharacteristic
39C2×#123×C37C2211yescharacteristic
40C2×C22⋊Q8×C37C2211yescharacteristic
41C2×C22⋊Q8×C37C2211yescharacteristic
42C2×#121×C37C2211yescharacteristic
43C2×#121×C37C2211yescharacteristic
44C2×#121×C37C2211yescharacteristic
45C2×#121×C37C2211yescharacteristic
46C2×#121×C37C2211yescharacteristic
47C2×#121×C37C2211yescharacteristic
48C2×#121×C37C2211yescharacteristic
49C2×#121×C37C2211yescharacteristic
50C2×C4×D4×C37C2211yescharacteristic
51C2×#117×C37C2211yescharacteristic
52C22×C42×C37C2211yescharacteristic
53C37×#400C2211yescharacteristic
54C37×#400C2211yescharacteristic
55C37×#400C2211yescharacteristic
56C37×#400C2211yescharacteristic
57C37×#400C2211yescharacteristic
58C37×#399C2211yescharacteristic
59C37×#399C2211yescharacteristic
60C37×#399C2211yescharacteristic
61C37×#398C2211yescharacteristic
62C37×#398C2211yescharacteristic
63C37×#398C2211yescharacteristic
64C37×#397C2211yescharacteristic
65C37×#397C2211yescharacteristic
66C37×#397C2211yescharacteristic
67C37×#397C2211yescharacteristic
68C37×#397C2211yescharacteristic
69C37×#397C2211yescharacteristic
70C37×#397C2211yescharacteristic
71C37×#396C2211yescharacteristic
72C37×#396C2211yescharacteristic
73C37×#396C2211yescharacteristic
74C37×#396C2211yescharacteristic
75C37×#394C2211yescharacteristic
76C37×#394C2211yescharacteristic
77C37×#394C2211yescharacteristic
78C37×#394C2211yescharacteristic
79C37×#394C2211yescharacteristic
80C37×#394C2211yescharacteristic
81C37×#394C2211yescharacteristic
82C37×#394C2211yescharacteristic
83C37×#394C2211yescharacteristic
84C37×#394C2211yescharacteristic
85C37×#394C2211yescharacteristic
86C37×#394C2211yescharacteristic
87C37×#394C2211yescharacteristic
88C37×#394C2211yescharacteristic
89C37×#394C2211yescharacteristic
90C37×#394C2211yescharacteristic
91C37×#393C2211yescharacteristic
92C37×#393C2211yescharacteristic
93C37×#392C2211yescharacteristic
94C37×#392C2211yescharacteristic
95C37×#392C2211yescharacteristic
96C37×#392C2211yescharacteristic
97C37×#392C2211yescharacteristic
98C37×#392C2211yescharacteristic
99C37×#392C2211yescharacteristic
100C37×#392C2211yescharacteristic
101C37×#391C2211yescharacteristic
102C37×#391C2211yescharacteristic
103C37×#390C2211yescharacteristic
104C37×#390C2211yescharacteristic
105C37×#390C2211yescharacteristic
106C37×#390C2211yescharacteristic
107C37×#390C2211yescharacteristic
108C37×#390C2211yescharacteristic
109C37×#390C2211yescharacteristic
110C37×#390C2211yescharacteristic
111C37×#390C2211yescharacteristic
112C37×#390C2211yescharacteristic
113C37×#390C2211yescharacteristic
114C37×#389C2211yescharacteristic
115C37×#389C2211yescharacteristic
116C37×#389C2211yescharacteristic
117C37×#388C2211yescharacteristic
118C37×#388C2211yescharacteristic
119C37×#388C2211yescharacteristic
120C37×#388C2211yescharacteristic
121C37×#388C2211yescharacteristic
122C37×#388C2211yescharacteristic
123C37×#388C2211yescharacteristic
124C37×#388C2211yescharacteristic
125C37×#388C2211yescharacteristic
126C37×#388C2211yescharacteristic
127C37×#388C2211yescharacteristic
128C37×#388C2211yescharacteristic
129C37×#388C2211yescharacteristic
130C37×#388C2211yescharacteristic
131C37×#388C2211yescharacteristic
132C37×#388C2211yescharacteristic
133C37×#387C2211yescharacteristic
134C37×#387C2211yescharacteristic
135C37×#387C2211yescharacteristic
136C37×#387C2211yescharacteristic
137C37×#387C2211yescharacteristic
138C37×#387C2211yescharacteristic
139C37×#387C2211yescharacteristic
140C37×#387C2211yescharacteristic
141C37×#387C2211yescharacteristic
142C37×#387C2211yescharacteristic
143C37×#387C2211yescharacteristic
144C37×#387C2211yescharacteristic
145C37×#387C2211yescharacteristic
146C37×#387C2211yescharacteristic
147C37×#386C2211yescharacteristic
148C37×#386C2211yescharacteristic
149C37×#386C2211yescharacteristic
150C37×#386C2211yescharacteristic
151C37×#386C2211yescharacteristic
152C37×#386C2211yescharacteristic
153C37×#386C2211yescharacteristic
154C37×#386C2211yescharacteristic
155C37×#386C2211yescharacteristic
156C37×#386C2211yescharacteristic
157C37×#386C2211yescharacteristic
158C37×#386C2211yescharacteristic
159C37×#386C2211yescharacteristic
160C37×#386C2211yescharacteristic
161C37×#386C2211yescharacteristic
162C37×#386C2211yescharacteristic
163C37×#386C2211yescharacteristic
164C37×#386C2211yescharacteristic
165C37×#386C2211yescharacteristic
166C37×#385C2211yescharacteristic
167C37×#385C2211yescharacteristic
168C37×#385C2211yescharacteristic
169C37×#385C2211yescharacteristic
170C37×#385C2211yescharacteristic
171C37×#385C2211yescharacteristic
172C37×#385C2211yescharacteristic
173C37×#384C2211yescharacteristic
174C37×#381C2211yescharacteristic
175C37×#381C2211yescharacteristic
176C37×#381C2211yescharacteristic
177C37×#380C2211yescharacteristic
178C37×#380C2211yescharacteristic
179C4×C4⋊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
186C37×#376C2211yescharacteristic
187C22×Q8×C37C2311yescharacteristic
188C22×D4×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
199C22×D4×C37C2311yescharacteristic
200C22×D4×C37C2311yescharacteristic
201C22×D4×C37C2311yescharacteristic
202C22×D4×C37C2311yescharacteristic
203C23×C4×C37C2311yescharacteristic
204C23×C4×C37C2311yescharacteristic
205C23×C4×C37C2311yescharacteristic
206C23×C4×C37C2311yescharacteristic
207C23×C4×C37C2311yescharacteristic
208C23×C4×C37C2311yescharacteristic
209C23×C4×C37C2311yescharacteristic
210C23×C4×C37C2311yescharacteristic
211#127×C37—42no—
212#126×C37—42no—
213#126×C37—42no—
214#125×C37—42no—
215#124×C37—42no—
216#123×C37—42no—
217#123×C37—42no—
218#123×C37—42no—
219C22⋊Q8×C37—42no—
220C22⋊Q8×C37—42no—
221#121×C37—24no—
222#121×C37—24no—
223#121×C37—42no—
224#121×C37—42no—
225#121×C37—42no—
226#121×C37—42no—
227#121×C37—42no—
228#121×C37—42no—
229C4×D4×C37—24no—
230#117×C37—42no—
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×C4⋊C4×C37C2311yescharacteristic
254C2×C4⋊C4×C37C2311yescharacteristic
255C2×C4⋊C4×C37C2311yescharacteristic
256C2×C4⋊C4×C37C2311yescharacteristic
257C2×C4⋊C4×C37C2311yescharacteristic
258C2×C4⋊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×C22⋊C4×C37C2311yescharacteristic
300C2×C22⋊C4×C37C2311yescharacteristic
301C2×C22⋊C4×C37C2311yescharacteristic
302C2×C22⋊C4×C37C2311yescharacteristic
303C2×C22⋊C4×C37C2311yescharacteristic
304C2×C22⋊C4×C37C2311yescharacteristic
305C2×C22⋊C4×C37C2311yescharacteristic
306C2×C22⋊C4×C37C2311yescharacteristic
307C2×C22⋊C4×C37C2311yescharacteristic
308C2×C22⋊C4×C37C2311yescharacteristic
309C2×C22⋊C4×C37C2311yescharacteristic
310C2×C22⋊C4×C37C2311yescharacteristic
311C2×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
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
368C24×C37C2411yescharacteristic
369C2×Q8×C37—22no—
370C2×Q8×C37—41no—
371C2×Q8×C37—41no—
372C2×D4×C37—22no—
373C2×D4×C37—22no—
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—41no—
384C2×D4×C37—41no—
385C2×D4×C37—41no—
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—
404C2×D4×C37—41no—
405C2×D4×C37—41no—
406C2×D4×C37—41no—
407C2×D4×C37—41no—
408C2×D4×C37—41no—
409C2×D4×C37—41no—
410C2×D4×C37—41no—
411C2×D4×C37—41no—
412C2×D4×C37—41no—
413C2×D4×C37—41no—
414C2×D4×C37—41no—
415C2×D4×C37—41no—
416C2×D4×C37—41no—
417C22×C4×C37—22no—
418C22×C4×C37—22no—
419C22×C4×C37—22no—
420C22×C4×C37—22no—
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—41no—
431C22×C4×C37—41no—
432C22×C4×C37—41no—
433C22×C4×C37—41no—
434C22×C4×C37—41no—
435C22×C4×C37—41no—
436C22×C4×C37—41no—
437C22×C4×C37—41no—
438C22×C4×C37—41no—
439C22×C4×C37—41no—
440C22×C4×C37#4114yes—
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
457C22×C4×C37C2411yescharacteristic
458C22×C4×C37C2411yescharacteristic
459C22×C4×C37C2411yescharacteristic
460C22×C4×C37C2411yescharacteristic
461C22×C4×C37C2411yescharacteristic
462C22×C4×C37C2411yescharacteristic
463C22×C4×C37C2411yescharacteristic
464C22×C4×C37C2411yescharacteristic
465C22×C4×C37C2411yescharacteristic
466C4⋊C4×C37—22no—
467C4⋊C4×C37—22no—
468C4⋊C4×C37—22no—
469C4⋊C4×C37—22no—
470C4⋊C4×C37—22no—
471C4⋊C4×C37—22no—
472C4⋊C4×C37—22no—
473C4⋊C4×C37—22no—
474C4⋊C4×C37—22no—
475C4⋊C4×C37—22no—
476C4⋊C4×C37—22no—
477C4⋊C4×C37—22no—
478C4⋊C4×C37—22no—
479C4⋊C4×C37—41no—
480C4⋊C4×C37—41no—
481C4⋊C4×C37—41no—
482C4⋊C4×C37—41no—
483C4⋊C4×C37—41no—
484C4⋊C4×C37—41no—
485C4⋊C4×C37—41no—
486C4⋊C4×C37—41no—
487C4⋊C4×C37—41no—
488C4⋊C4×C37—41no—
489C4⋊C4×C37—41no—
490C4⋊C4×C37—41no—
491C4⋊C4×C37—41no—
492C4⋊C4×C37—41no—
493C4⋊C4×C37—41no—
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—41no—
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—41no—
529C22⋊C4×C37—41no—
530C22⋊C4×C37—41no—
531C22⋊C4×C37—41no—
532C22⋊C4×C37—41no—
533C22⋊C4×C37—41no—
534C22⋊C4×C37—41no—
535C22⋊C4×C37—41no—
536C22⋊C4×C37—41no—
537C22⋊C4×C37—41no—
538C22⋊C4×C37—41no—
539C22⋊C4×C37—41no—
540C22⋊C4×C37—41no—
541C22⋊C4×C37—41no—
542C22⋊C4×C37—41no—
543C22⋊C4×C37—41no—
544C22⋊C4×C37—41no—
545C22⋊C4×C37—41no—
546C42×C37—22no—
547C42×C37—22no—
548C42×C37—22no—
549C42×C37—41no—
550C42×C37—41no—
551C42×C37—41no—
552C42×C37—41no—
553C42×C37—41no—
554C42×C37—41no—
555C42×C37—41no—
556C42×C37—41no—
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×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×C37C2×#4112yes—
599C23×C37C2511yescharacteristic
600Q8×C37—82no—
601D4×C37—44no—
602D4×C37—82no—
603D4×C37—82no—
604D4×C37—82no—
605D4×C37—82no—
606D4×C37—82no—
607D4×C37—82no—
608D4×C37—82no—
609D4×C37—82no—
610D4×C37—82no—
611D4×C37—82no—
612D4×C37—82no—
613D4×C37—82no—
614D4×C37—82no—
615D4×C37—82no—
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—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—44no—
687C2×C4×C37—44no—
688C2×C4×C37—44no—
689C2×C4×C37—44no—
690C2×C4×C37—82no—
691C2×C4×C37—82no—
692C2×C4×C37—82no—
693C2×C4×C37—82no—
694C2×C4×C37C2×#4112yes—
695C2×C4×C37C2×#4112yes—
696C2×C4×C37H(5,𝔽2)12yes—
697C2×C4×C37H(5,𝔽2)12yes—
698C2×C4×C37H(5,𝔽2)12yes—
699#36771C3711yesmaximal, characteristic, direct product factor, Sylow
700C22×C37—22no—
701C22×C37—22no—
702C22×C37—22no—
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×C37—41no—
719C22×C37—41no—
720C22×C37—41no—
721C22×C37—41no—
722C22×C37—41no—
723C22×C37—41no—
724C22×C37—41no—
725C22×C37—41no—
726C22×C37—41no—
727C22×C37—41no—
728C22×C37—41no—
729C22×C37—41no—
730C22×C37—41no—
731C22×C37—41no—
732C22×C37—41no—
733C22×C37—41no—
734C22×C37—41no—
735C22×C37—41no—
736C22×C37—41no—
737C22×C37—41no—
738C22×C37—41no—
739C22×C37—41no—
740C22×C37—41no—
741C22×C37—41no—
742C22×C37C22×#4111yescharacteristic
743C22×C37C2×H(5,𝔽2)11yescharacteristic
744C22×C37C2×H(5,𝔽2)11yescharacteristic
745C22×C37C2×H(5,𝔽2)11yescharacteristic
746C22×C37#58511yescharacteristic
747C22×C37#58511yescharacteristic
748C22×C37#58511yescharacteristic
749C4×C37—22no—
750C4×C37—22no—
751C4×C37—22no—
752C4×C37—22no—
753C4×C37—22no—
754C4×C37—41no—
755C4×C37—41no—
756C4×C37—41no—
757C4×C37—41no—
758C4×C37—41no—
759C4×C37—41no—
760C4×C37—41no—
761C4×C37—41no—
762C4×C37—41no—
763C4×C37—41no—
764C4×C37—41no—
765C4×C37—41no—
766C4×C37—41no—
767C4×C37—41no—
768C4×C37—41no—
769C4×C37—41no—
770C4×C37—41no—
771C4×C37—41no—
772C4×C37—41no—
773C4×C37—41no—
774#2856C2×C3711yescharacteristic, complemented
775#2855C2×C3711yescharacteristic, complemented
776#2796C2×C3711yescharacteristic, complemented
777#2794C2×C3711yescharacteristic, complemented
778#2751C2×C3711yescharacteristic, complemented
779#2730C2×C3711yescharacteristic, complemented
780#2721C2×C3711yescharacteristic, complemented
781#2714C2×C3711yescharacteristic, complemented
782#2711C2×C3711yescharacteristic, complemented
783#2709C2×C3711yescharacteristic, complemented
784#2708C2×C3711yescharacteristic, complemented
785#2705C2×C3711yescharacteristic, complemented
786#2703C2×C3711yescharacteristic, complemented
787#2691C2×C3711yescharacteristic, complemented
788#2688C2×C3711yescharacteristic, complemented
789#2681C2×C3711yescharacteristic, complemented
790#2676C2×C3711yescharacteristic, complemented
791#2673C2×C3711yescharacteristic, complemented
792#2635C2×C3711yescharacteristic, complemented
793#2635C2×C3711yescharacteristic, complemented
794#2560C2×C3711yescharacteristic, complemented
795#2559C2×C3711yescharacteristic, complemented
796#2558C2×C3711yescharacteristic, complemented
797#2557C2×C3711yescharacteristic, complemented
798#2531C2×C3711yescharacteristic, complemented
799#2526C2×C3711yescharacteristic, complemented
800#2476C2×C3711yescharacteristic, complemented
801#2471C2×C3711yescharacteristic, complemented
802#2333C2×C3711yescharacteristic, complemented
803#2333C2×C3711yescharacteristic, complemented
804#2290C2×C3711yescharacteristic, complemented
805C2×C37—42no—
806C2×C37—81no—
807C2×C37—81no—
808C2×C37—81no—
809C2×C37—81no—
810C2×C37—81no—
811C2×C37#345511yescharacteristic
812C2×C37#350511yescharacteristic
813C2×C37#350811yescharacteristic
814C2×C37#353411yescharacteristic
815C2×C37#354211yescharacteristic
816C2×C37#355111yescharacteristic
817C2×C37#356211yescharacteristic
818C2×#127C22×C3711yescharacteristic
819C2×#126C22×C3711yescharacteristic
820C2×#126C22×C3711yescharacteristic
821C2×#125C22×C3711yescharacteristic
822C2×#124C22×C3711yescharacteristic
823C2×#123C22×C3711yescharacteristic
824C2×#123C22×C3711yescharacteristic
825C2×#123C22×C3711yescharacteristic
826C2×C22⋊Q8C22×C3711yescharacteristic
827C2×C22⋊Q8C22×C3711yescharacteristic
828C2×#121C22×C3711yescharacteristic
829C2×#121C22×C3711yescharacteristic
830C2×#121C22×C3711yescharacteristic
831C2×#121C22×C3711yescharacteristic
832C2×#121C22×C3711yescharacteristic
833C2×#121C22×C3711yescharacteristic
834C2×#121C22×C3711yescharacteristic
835C2×#121C22×C3711yescharacteristic
836C2×C4×D4C22×C3711yescharacteristic
837C2×#117C22×C3711yescharacteristic
838C22×C42C22×C3711yescharacteristic
839#400C22×C3711yescharacteristic
840#400C22×C3711yescharacteristic
841#400C22×C3711yescharacteristic
842#400C22×C3711yescharacteristic
843#400C22×C3711yescharacteristic
844#399C22×C3711yescharacteristic
845#399C22×C3711yescharacteristic
846#399C22×C3711yescharacteristic
847#398C22×C3711yescharacteristic
848#398C22×C3711yescharacteristic
849#398C22×C3711yescharacteristic
850#397C22×C3711yescharacteristic
851#397C22×C3711yescharacteristic
852#397C22×C3711yescharacteristic
853#397C22×C3711yescharacteristic
854#397C22×C3711yescharacteristic
855#397C22×C3711yescharacteristic
856#397C22×C3711yescharacteristic
857#396C22×C3711yescharacteristic
858#396C22×C3711yescharacteristic
859#396C22×C3711yescharacteristic
860#396C22×C3711yescharacteristic
861#394C22×C3711yescharacteristic
862#394C22×C3711yescharacteristic
863#394C22×C3711yescharacteristic
864#394C22×C3711yescharacteristic
865#394C22×C3711yescharacteristic
866#394C22×C3711yescharacteristic
867#394C22×C3711yescharacteristic
868#394C22×C3711yescharacteristic
869#394C22×C3711yescharacteristic
870#394C22×C3711yescharacteristic
871#394C22×C3711yescharacteristic
872#394C22×C3711yescharacteristic
873#394C22×C3711yescharacteristic
874#394C22×C3711yescharacteristic
875#394C22×C3711yescharacteristic
876#394C22×C3711yescharacteristic
877#393C22×C3711yescharacteristic
878#393C22×C3711yescharacteristic
879#392C22×C3711yescharacteristic
880#392C22×C3711yescharacteristic
881#392C22×C3711yescharacteristic
882#392C22×C3711yescharacteristic
883#392C22×C3711yescharacteristic
884#392C22×C3711yescharacteristic
885#392C22×C3711yescharacteristic
886#392C22×C3711yescharacteristic
887#391C22×C3711yescharacteristic
888#391C22×C3711yescharacteristic
889#390C22×C3711yescharacteristic
890#390C22×C3711yescharacteristic
891#390C22×C3711yescharacteristic
892#390C22×C3711yescharacteristic
893#390C22×C3711yescharacteristic
894#390C22×C3711yescharacteristic
895#390C22×C3711yescharacteristic
896#390C22×C3711yescharacteristic
897#390C22×C3711yescharacteristic
898#390C22×C3711yescharacteristic
899#390C22×C3711yescharacteristic
900#389C22×C3711yescharacteristic
901#389C22×C3711yescharacteristic
902#389C22×C3711yescharacteristic
903#388C22×C3711yescharacteristic
904#388C22×C3711yescharacteristic
905#388C22×C3711yescharacteristic
906#388C22×C3711yescharacteristic
907#388C22×C3711yescharacteristic
908#388C22×C3711yescharacteristic
909#388C22×C3711yescharacteristic
910#388C22×C3711yescharacteristic
911#388C22×C3711yescharacteristic
912#388C22×C3711yescharacteristic
913#388C22×C3711yescharacteristic
914#388C22×C3711yescharacteristic
915#388C22×C3711yescharacteristic
916#388C22×C3711yescharacteristic
917#388C22×C3711yescharacteristic
918#388C22×C3711yescharacteristic
919#387C22×C3711yescharacteristic
920#387C22×C3711yescharacteristic
921#387C22×C3711yescharacteristic
922#387C22×C3711yescharacteristic
923#387C22×C3711yescharacteristic
924#387C22×C3711yescharacteristic
925#387C22×C3711yescharacteristic
926#387C22×C3711yescharacteristic
927#387C22×C3711yescharacteristic
928#387C22×C3711yescharacteristic
929#387C22×C3711yescharacteristic
930#387C22×C3711yescharacteristic
931#387C22×C3711yescharacteristic
932#387C22×C3711yescharacteristic
933#386C22×C3711yescharacteristic
934#386C22×C3711yescharacteristic
935#386C22×C3711yescharacteristic
936#386C22×C3711yescharacteristic
937#386C22×C3711yescharacteristic
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#385C22×C3711yescharacteristic
953#385C22×C3711yescharacteristic
954#385C22×C3711yescharacteristic
955#385C22×C3711yescharacteristic
956#385C22×C3711yescharacteristic
957#385C22×C3711yescharacteristic
958#385C22×C3711yescharacteristic
959#384C22×C3711yescharacteristic
960#381C22×C3711yescharacteristic
961#381C22×C3711yescharacteristic
962#381C22×C3711yescharacteristic
963#380C22×C3711yescharacteristic
964#380C22×C3711yescharacteristic
965C4×C4⋊C4C22×C3711yescharacteristic
966C4×C22⋊C4C22×C3711yescharacteristic
967C4×C22⋊C4C22×C3711yescharacteristic
968C4×C22⋊C4C22×C3711yescharacteristic
969C4×C22⋊C4C22×C3711yescharacteristic
970C4×C22⋊C4C22×C3711yescharacteristic
971C4×C22⋊C4C22×C3711yescharacteristic
972#376C22×C3711yescharacteristic
973C37#3677111yescharacteristic, direct product factor, Sylow
974C22×Q8C23×C3711yescharacteristic
975C22×D4C23×C3711yescharacteristic
976C22×D4C23×C3711yescharacteristic
977C22×D4C23×C3711yescharacteristic
978C22×D4C23×C3711yescharacteristic
979C22×D4C23×C3711yescharacteristic
980C22×D4C23×C3711yescharacteristic
981C22×D4C23×C3711yescharacteristic
982C22×D4C23×C3711yescharacteristic
983C22×D4C23×C3711yescharacteristic
984C22×D4C23×C3711yescharacteristic
985C22×D4C23×C3711yescharacteristic
986C22×D4C23×C3711yescharacteristic
987C22×D4C23×C3711yescharacteristic
988C22×D4C23×C3711yescharacteristic
989C22×D4C23×C3711yescharacteristic
990C23×C4C23×C3711yescharacteristic
991C23×C4C23×C3711yescharacteristic
992C23×C4C23×C3711yescharacteristic
993C23×C4C23×C3711yescharacteristic
994C23×C4C23×C3711yescharacteristic
995C23×C4C23×C3711yescharacteristic
996C23×C4C23×C3711yescharacteristic
997C23×C4C23×C3711yescharacteristic
998#127—42no—
999#126—42no—
1000#126—42no—
1001#125—42no—
1002#124—42no—
1003#123—42no—
1004#123—42no—
1005#123—42no—
1006C22⋊Q8—42no—
1007C22⋊Q8—42no—
1008#121—24no—
1009#121—24no—
1010#121—42no—
1011#121—42no—
1012#121—42no—
1013#121—42no—
1014#121—42no—
1015#121—42no—
1016C4×D4—24no—
1017#117—42no—
1018C2×C4⋊C4C23×C3711yescharacteristic
1019C2×C4⋊C4C23×C3711yescharacteristic
1020C2×C4⋊C4C23×C3711yescharacteristic
1021C2×C4⋊C4C23×C3711yescharacteristic
1022C2×C4⋊C4C23×C3711yescharacteristic
1023C2×C4⋊C4C23×C3711yescharacteristic
1024C2×C4⋊C4C23×C3711yescharacteristic
1025C2×C4⋊C4C23×C3711yescharacteristic
1026C2×C4⋊C4C23×C3711yescharacteristic
1027C2×C4⋊C4C23×C3711yescharacteristic
1028C2×C4⋊C4C23×C3711yescharacteristic
1029C2×C4⋊C4C23×C3711yescharacteristic
1030C2×C4⋊C4C23×C3711yescharacteristic
1031C2×C4⋊C4C23×C3711yescharacteristic
1032C2×C4⋊C4C23×C3711yescharacteristic
1033C2×C4⋊C4C23×C3711yescharacteristic
1034C2×C4⋊C4C23×C3711yescharacteristic
1035C2×C4⋊C4C23×C3711yescharacteristic
1036C2×C4⋊C4C23×C3711yescharacteristic
1037C2×C4⋊C4C23×C3711yescharacteristic
1038C2×C4⋊C4C23×C3711yescharacteristic
1039C2×C4⋊C4C23×C3711yescharacteristic
1040C2×C4⋊C4C23×C3711yescharacteristic
1041C2×C4⋊C4C23×C3711yescharacteristic
1042C2×C4⋊C4C23×C3711yescharacteristic
1043C2×C4⋊C4C23×C3711yescharacteristic
1044C2×C4⋊C4C23×C3711yescharacteristic
1045C2×C4⋊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×C22⋊C4C23×C3711yescharacteristic
1063C2×C22⋊C4C23×C3711yescharacteristic
1064C2×C22⋊C4C23×C3711yescharacteristic
1065C2×C22⋊C4C23×C3711yescharacteristic
1066C2×C22⋊C4C23×C3711yescharacteristic
1067C2×C22⋊C4C23×C3711yescharacteristic
1068C2×C22⋊C4C23×C3711yescharacteristic
1069C2×C22⋊C4C23×C3711yescharacteristic
1070C2×C22⋊C4C23×C3711yescharacteristic
1071C2×C22⋊C4C23×C3711yescharacteristic
1072C2×C22⋊C4C23×C3711yescharacteristic
1073C2×C22⋊C4C23×C3711yescharacteristic
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×C42—42no—
1099C2×C42C23×C3711yescharacteristic
1100C2×C42C23×C3711yescharacteristic
1101C2×C42C23×C3711yescharacteristic
1102C2×C42C23×C3711yescharacteristic
1103C2×C42C23×C3711yescharacteristic
1104C2×C42C23×C3711yescharacteristic
1105C2×C42C23×C3711yescharacteristic
1106C2×C42C23×C3711yescharacteristic
1107C2×C42C23×C3711yescharacteristic
1108C2×C42C23×C3711yescharacteristic
1109C2×C42C23×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
1126#95C23×C3711yescharacteristic
1127#95C23×C3711yescharacteristic
1128#95C23×C3711yescharacteristic
1129#95C23×C3711yescharacteristic
1130#95C23×C3711yescharacteristic
1131#95C23×C3711yescharacteristic
1132#95C23×C3711yescharacteristic
1133#95C23×C3711yescharacteristic
1134#95C23×C3711yescharacteristic
1135#95C23×C3711yescharacteristic
1136#95C23×C3711yescharacteristic
1137#95C23×C3711yescharacteristic
1138#95C23×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
1150C24C24×C3711yescharacteristic
1151C24C24×C3711yescharacteristic
1152C24C24×C3711yescharacteristic
1153C24C24×C3711yescharacteristic
1154C24C24×C3711yescharacteristic
1155C24C24×C3711yescharacteristic
1156C2×Q8—22no—
1157C2×Q8—41no—
1158C2×Q8—41no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4#41×C3714yes—
1228C22×C4C24×C3711yescharacteristic
1229C22×C4C24×C3711yescharacteristic
1230C22×C4C24×C3711yescharacteristic
1231C22×C4C24×C3711yescharacteristic
1232C22×C4C24×C3711yescharacteristic
1233C22×C4C24×C3711yescharacteristic
1234C22×C4C24×C3711yescharacteristic
1235C22×C4C24×C3711yescharacteristic
1236C22×C4C24×C3711yescharacteristic
1237C22×C4C24×C3711yescharacteristic
1238C22×C4C24×C3711yescharacteristic
1239C22×C4C24×C3711yescharacteristic
1240C22×C4C24×C3711yescharacteristic
1241C22×C4C24×C3711yescharacteristic
1242C22×C4C24×C3711yescharacteristic
1243C22×C4C24×C3711yescharacteristic
1244C22×C4C24×C3711yescharacteristic
1245C22×C4C24×C3711yescharacteristic
1246C22×C4C24×C3711yescharacteristic
1247C22×C4C24×C3711yescharacteristic
1248C22×C4C24×C3711yescharacteristic
1249C22×C4C24×C3711yescharacteristic
1250C22×C4C24×C3711yescharacteristic
1251C22×C4C24×C3711yescharacteristic
1252C22×C4C24×C3711yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42—41no—
1343C42—41no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23C2×#41×C3712yes—
1386C23C25×C3711yescharacteristic
1387Q8—82no—
1388D4—44no—
1389D4—82no—
1390D4—82no—
1391D4—82no—
1392D4—82no—
1393D4—82no—
1394D4—82no—
1395D4—82no—
1396D4—82no—
1397D4—82no—
1398D4—82no—
1399D4—82no—
1400D4—82no—
1401D4—82no—
1402D4—82no—
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—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—44no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—82no—
1478C2×C4—82no—
1479C2×C4—82no—
1480C2×C4—82no—
1481C2×C4C2×#41×C3712yes—
1482C2×C4C2×#41×C3712yes—
1483C2×C4H(5,𝔽2)×C3712yes—
1484C2×C4H(5,𝔽2)×C3712yes—
1485C2×C4H(5,𝔽2)×C3712yes—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22C22×#41×C3711yescharacteristic
1529C22C2×H(5,𝔽2)×C3711yescharacteristic
1530C22C2×H(5,𝔽2)×C3711yescharacteristic
1531C22C2×H(5,𝔽2)×C3711yescharacteristic
1532C22C37×#58511yescharacteristic
1533C22C37×#58511yescharacteristic
1534C22C37×#58511yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C2—42no—
1561C2—81no—
1562C2—81no—
1563C2—81no—
1564C2—81no—
1565C2—81no—
1566C2C37×#345511yescharacteristic
1567C2C37×#350511yescharacteristic
1568C2C37×#350811yescharacteristic
1569C2C37×#353411yescharacteristic
1570C2C37×#354211yescharacteristic
1571C2C37×#355111yescharacteristic
1572C2C37×#356211yescharacteristic
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×#2856C2semidirect
2. C37×#2855C2semidirect
3. C37×#2796C2semidirect
4. C37×#2794C2semidirect
5. C37×#2751C2semidirect
6. C37×#2730C2semidirect
7. C37×#2721C2semidirect
8. C37×#2714C2semidirect
9. C37×#2711C2semidirect
10. C37×#2709C2semidirect
11. C37×#2708C2semidirect
12. C37×#2705C2semidirect
13. C37×#2703C2semidirect
14. C37×#2691C2semidirect
15. C37×#2688C2semidirect
16. C37×#2681C2semidirect
17. C37×#2676C2semidirect
18. C37×#2673C2semidirect
19. C37×#2635C2semidirect
20. C37×#2635C2semidirect
21. C37×#2560C2semidirect
22. C37×#2559C2semidirect
23. C37×#2558C2semidirect
24. C37×#2557C2semidirect
25. C37×#2531C2semidirect
26. C37×#2526C2semidirect
27. C37×#2476C2semidirect
28. C37×#2471C2semidirect
29. C37×#2333C2semidirect
30. C37×#2333C2semidirect
31. C37×#2290C2semidirect
699. #36771C37direct (N × H)
774. #2856C2×C37semidirect
775. #2855C2×C37semidirect
776. #2796C2×C37semidirect
777. #2794C2×C37semidirect
778. #2751C2×C37semidirect
779. #2730C2×C37semidirect
780. #2721C2×C37semidirect
781. #2714C2×C37semidirect
782. #2711C2×C37semidirect
783. #2709C2×C37semidirect
784. #2708C2×C37semidirect
785. #2705C2×C37semidirect
786. #2703C2×C37semidirect
787. #2691C2×C37semidirect
788. #2688C2×C37semidirect
789. #2681C2×C37semidirect
790. #2676C2×C37semidirect
791. #2673C2×C37semidirect
792. #2635C2×C37semidirect
793. #2635C2×C37semidirect
794. #2560C2×C37semidirect
795. #2559C2×C37semidirect
796. #2558C2×C37semidirect
797. #2557C2×C37semidirect
798. #2531C2×C37semidirect
799. #2526C2×C37semidirect
800. #2476C2×C37semidirect
801. #2471C2×C37semidirect
802. #2333C2×C37semidirect
803. #2333C2×C37semidirect
804. #2290C2×C37semidirect
973. C37#36771direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#28562
C37×#28552
C37×#27962
C37×#27942
C37×#27512
C37×#27302
C37×#27212
C37×#27142
C37×#27112
C37×#27092
C37×#27082
C37×#27052
C37×#27032
C37×#26912
C37×#26882
C37×#26812
C37×#26762
C37×#26732
C37×#26352
C37×#25602
C37×#25592
C37×#25582
C37×#25572
C37×#25312
C37×#25262
C37×#24762
C37×#24712
C37×#23332
C37×#22902
#3677137