Finite Group Databasebeta

← C37×#36746 #22657999

Subgroups — C37×#36746 #22657999

Order 9472.

2152 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C37×#540C211yesmaximal, characteristic, complemented
2C2×C37×#539C211yesmaximal, characteristic, complemented
3C37×#2854C211yesmaximal, characteristic, complemented
4C37×#2850C211yesmaximal, characteristic, complemented
5C37×#2719C211yesmaximal, characteristic, complemented
6C37×#2711C211yesmaximal, characteristic, complemented
7C37×#2709C211yesmaximal, characteristic, complemented
8C37×#2708C211yesmaximal, characteristic, complemented
9C37×#2706C211yesmaximal, characteristic, complemented
10C37×#2703C211yesmaximal, characteristic, complemented
11C37×#2695C211yesmaximal, characteristic, complemented
12C37×#2693C211yesmaximal, characteristic, complemented
13C37×#2691C211yesmaximal, characteristic, complemented
14C37×#2690C211yesmaximal, characteristic, complemented
15C37×#2688C211yesmaximal, characteristic, complemented
16C37×#2687C211yesmaximal, characteristic, complemented
17C37×#2676C211yesmaximal, characteristic, complemented
18C37×#2673C211yesmaximal, characteristic, complemented
19C37×#2672C211yesmaximal, characteristic, complemented
20C37×#2671C211yesmaximal, characteristic, complemented
21C37×#2663C211yesmaximal, characteristic, complemented
22C37×#2661C211yesmaximal, characteristic, complemented
23C37×#2611C211yesmaximal, characteristic, complemented
24C37×#2603C211yesmaximal, characteristic, complemented
25C37×#2602C211yesmaximal, characteristic, complemented
26C37×#2601C211yesmaximal, characteristic, complemented
27C37×#2591C211yesmaximal, characteristic, complemented
28C37×#2562C211yesmaximal, characteristic, complemented
29C37×#2414C211yesmaximal, characteristic, complemented
30C37×#2413C211yesmaximal, characteristic, complemented
31C37×#2290C211yesmaximal, characteristic, complemented
32C37×#540—28no—
33C37×#539—28no—
34C2×#127×C37C2211yescharacteristic
35C2×#126×C37C2211yescharacteristic
36C2×#126×C37C2211yescharacteristic
37C2×#125×C37C2211yescharacteristic
38C2×#125×C37C2211yescharacteristic
39C2×#125×C37C2211yescharacteristic
40C2×#124×C37C2211yescharacteristic
41C2×#123×C37C2211yescharacteristic
42C2×#123×C37C2211yescharacteristic
43C2×#123×C37C2211yescharacteristic
44C2×#123×C37C2211yescharacteristic
45C2×#123×C37C2211yescharacteristic
46C2×#123×C37C2211yescharacteristic
47C2×#123×C37C2211yescharacteristic
48C2×#123×C37C2211yescharacteristic
49C2×#123×C37C2211yescharacteristic
50C2×C22⋊Q8×C37C2211yescharacteristic
51C2×C22⋊Q8×C37C2211yescharacteristic
52C2×C22⋊Q8×C37C2211yescharacteristic
53C2×#121×C37C2211yescharacteristic
54C2×#121×C37C2211yescharacteristic
55C2×#121×C37C2211yescharacteristic
56C2×#121×C37C2211yescharacteristic
57C2×#121×C37C2211yescharacteristic
58C2×#121×C37C2211yescharacteristic
59C2×#121×C37C2211yescharacteristic
60C2×#121×C37C2211yescharacteristic
61C2×#121×C37C2211yescharacteristic
62C2×C4×D4×C37C2211yescharacteristic
63C2×C4×D4×C37C2211yescharacteristic
64C2×C4×D4×C37C2211yescharacteristic
65C2×#117×C37C2211yescharacteristic
66C2×#117×C37C2211yescharacteristic
67C22×C4⋊C4×C37C2211yescharacteristic
68C22×C42×C37C2211yescharacteristic
69C37×#400C2211yescharacteristic
70C37×#400C2211yescharacteristic
71C37×#400C2211yescharacteristic
72C37×#400C2211yescharacteristic
73C37×#400C2211yescharacteristic
74C37×#400C2211yescharacteristic
75C37×#399C2211yescharacteristic
76C37×#399C2211yescharacteristic
77C37×#398C2211yescharacteristic
78C37×#398C2211yescharacteristic
79C37×#398C2211yescharacteristic
80C37×#398C2211yescharacteristic
81C37×#398C2211yescharacteristic
82C37×#398C2211yescharacteristic
83C37×#397C2211yescharacteristic
84C37×#397C2211yescharacteristic
85C37×#397C2211yescharacteristic
86C37×#397C2211yescharacteristic
87C37×#397C2211yescharacteristic
88C37×#397C2211yescharacteristic
89C37×#396C2211yescharacteristic
90C37×#396C2211yescharacteristic
91C37×#396C2211yescharacteristic
92C37×#396C2211yescharacteristic
93C37×#395C2211yescharacteristic
94C37×#394C2211yescharacteristic
95C37×#394C2211yescharacteristic
96C37×#394C2211yescharacteristic
97C37×#394C2211yescharacteristic
98C37×#394C2211yescharacteristic
99C37×#394C2211yescharacteristic
100C37×#394C2211yescharacteristic
101C37×#394C2211yescharacteristic
102C37×#394C2211yescharacteristic
103C37×#394C2211yescharacteristic
104C37×#394C2211yescharacteristic
105C37×#394C2211yescharacteristic
106C37×#394C2211yescharacteristic
107C37×#394C2211yescharacteristic
108C37×#394C2211yescharacteristic
109C37×#393C2211yescharacteristic
110C37×#392C2211yescharacteristic
111C37×#392C2211yescharacteristic
112C37×#392C2211yescharacteristic
113C37×#392C2211yescharacteristic
114C37×#392C2211yescharacteristic
115C37×#392C2211yescharacteristic
116C37×#392C2211yescharacteristic
117C37×#391C2211yescharacteristic
118C37×#390C2211yescharacteristic
119C37×#390C2211yescharacteristic
120C37×#390C2211yescharacteristic
121C37×#390C2211yescharacteristic
122C37×#390C2211yescharacteristic
123C37×#390C2211yescharacteristic
124C37×#389C2211yescharacteristic
125C37×#389C2211yescharacteristic
126C37×#389C2211yescharacteristic
127C37×#389C2211yescharacteristic
128C37×#389C2211yescharacteristic
129C37×#388C2211yescharacteristic
130C37×#388C2211yescharacteristic
131C37×#388C2211yescharacteristic
132C37×#388C2211yescharacteristic
133C37×#388C2211yescharacteristic
134C37×#388C2211yescharacteristic
135C37×#388C2211yescharacteristic
136C37×#388C2211yescharacteristic
137C37×#388C2211yescharacteristic
138C37×#388C2211yescharacteristic
139C37×#388C2211yescharacteristic
140C37×#388C2211yescharacteristic
141C37×#388C2211yescharacteristic
142C37×#388C2211yescharacteristic
143C37×#388C2211yescharacteristic
144C37×#388C2211yescharacteristic
145C37×#387C2211yescharacteristic
146C37×#387C2211yescharacteristic
147C37×#387C2211yescharacteristic
148C37×#387C2211yescharacteristic
149C37×#387C2211yescharacteristic
150C37×#387C2211yescharacteristic
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×#386C2211yescharacteristic
167C37×#386C2211yescharacteristic
168C37×#385C2211yescharacteristic
169C37×#385C2211yescharacteristic
170C37×#385C2211yescharacteristic
171C37×#385C2211yescharacteristic
172C37×#385C2211yescharacteristic
173C37×#385C2211yescharacteristic
174C37×#385C2211yescharacteristic
175C37×#385C2211yescharacteristic
176C37×#385C2211yescharacteristic
177C37×#382C2211yescharacteristic
178C37×#381C2211yescharacteristic
179C37×#380C2211yescharacteristic
180C37×#380C2211yescharacteristic
181C37×#380C2211yescharacteristic
182C37×#380C2211yescharacteristic
183C37×#380C2211yescharacteristic
184C37×#380C2211yescharacteristic
185C4×C4⋊C4×C37C2211yescharacteristic
186C4×C22⋊C4×C37C2211yescharacteristic
187C4×C22⋊C4×C37C2211yescharacteristic
188C37×#376C2211yescharacteristic
189C22×Q8×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
203C22×D4×C37C2311yescharacteristic
204C22×D4×C37C2311yescharacteristic
205C23×C4×C37C2311yescharacteristic
206C23×C4×C37C2311yescharacteristic
207C23×C4×C37C2311yescharacteristic
208C23×C4×C37C2311yescharacteristic
209C23×C4×C37C2311yescharacteristic
210C23×C4×C37C2311yescharacteristic
211C23×C4×C37C2311yescharacteristic
212C23×C4×C37C2311yescharacteristic
213C23×C4×C37C2311yescharacteristic
214C23×C4×C37C2311yescharacteristic
215#127×C37—24no—
216#126×C37—24no—
217#126×C37—24no—
218#125×C37—24no—
219#125×C37—24no—
220#125×C37—24no—
221#124×C37—42no—
222#123×C37—24no—
223#123×C37—24no—
224#123×C37—24no—
225#123×C37—24no—
226#123×C37—24no—
227#123×C37—24no—
228#123×C37—24no—
229#123×C37—24no—
230#123×C37—42no—
231C22⋊Q8×C37—24no—
232C22⋊Q8×C37—24no—
233C22⋊Q8×C37—24no—
234#121×C37—24no—
235#121×C37—24no—
236#121×C37—24no—
237#121×C37—24no—
238#121×C37—24no—
239#121×C37—24no—
240#121×C37—24no—
241#121×C37—42no—
242#121×C37—42no—
243C4×D4×C37—24no—
244C4×D4×C37—24no—
245C4×D4×C37D418yescomplemented
246#117×C37—24no—
247#117×C37—42no—
248C2×C4⋊C4×C37—24no—
249C2×C4⋊C4×C37C2311yescharacteristic
250C2×C4⋊C4×C37C2311yescharacteristic
251C2×C4⋊C4×C37C2311yescharacteristic
252C2×C4⋊C4×C37C2311yescharacteristic
253C2×C4⋊C4×C37C2311yescharacteristic
254C2×C4⋊C4×C37C2311yescharacteristic
255C2×C4⋊C4×C37C2311yescharacteristic
256C2×C4⋊C4×C37C2311yescharacteristic
257C2×C4⋊C4×C37C2311yescharacteristic
258C2×C4⋊C4×C37C2311yescharacteristic
259C2×C4⋊C4×C37C2311yescharacteristic
260C2×C4⋊C4×C37C2311yescharacteristic
261C2×C4⋊C4×C37C2311yescharacteristic
262C2×C4⋊C4×C37C2311yescharacteristic
263C2×C4⋊C4×C37C2311yescharacteristic
264C2×C4⋊C4×C37C2311yescharacteristic
265C2×C4⋊C4×C37C2311yescharacteristic
266C2×C4⋊C4×C37C2311yescharacteristic
267C2×C4⋊C4×C37C2311yescharacteristic
268C2×C4⋊C4×C37C2311yescharacteristic
269C2×C4⋊C4×C37C2311yescharacteristic
270C2×C4⋊C4×C37C2311yescharacteristic
271C2×C4⋊C4×C37C2311yescharacteristic
272C2×C4⋊C4×C37C2311yescharacteristic
273C2×C4⋊C4×C37C2311yescharacteristic
274C2×C4⋊C4×C37C2311yescharacteristic
275C2×C4⋊C4×C37C2311yescharacteristic
276C2×C4⋊C4×C37C2311yescharacteristic
277C2×C4⋊C4×C37C2311yescharacteristic
278C2×C4⋊C4×C37C2311yescharacteristic
279C2×C4⋊C4×C37C2311yescharacteristic
280C2×C4⋊C4×C37C2311yescharacteristic
281C2×C4⋊C4×C37C2311yescharacteristic
282C2×C4⋊C4×C37C2311yescharacteristic
283C2×C22⋊C4×C37C2311yescharacteristic
284C2×C22⋊C4×C37C2311yescharacteristic
285C2×C22⋊C4×C37C2311yescharacteristic
286C2×C22⋊C4×C37C2311yescharacteristic
287C2×C22⋊C4×C37C2311yescharacteristic
288C2×C22⋊C4×C37C2311yescharacteristic
289C2×C22⋊C4×C37C2311yescharacteristic
290C2×C22⋊C4×C37C2311yescharacteristic
291C2×C22⋊C4×C37C2311yescharacteristic
292C2×C22⋊C4×C37C2311yescharacteristic
293C2×C22⋊C4×C37C2311yescharacteristic
294C2×C22⋊C4×C37C2311yescharacteristic
295C2×C22⋊C4×C37C2311yescharacteristic
296C2×C22⋊C4×C37C2311yescharacteristic
297C2×C22⋊C4×C37C2311yescharacteristic
298C2×C22⋊C4×C37C2311yescharacteristic
299C2×C22⋊C4×C37C2311yescharacteristic
300C2×C22⋊C4×C37C2311yescharacteristic
301C2×C22⋊C4×C37C2311yescharacteristic
302C2×C22⋊C4×C37C2311yescharacteristic
303C2×C22⋊C4×C37C2311yescharacteristic
304C2×C22⋊C4×C37C2311yescharacteristic
305C2×C22⋊C4×C37C2311yescharacteristic
306C2×C22⋊C4×C37C2311yescharacteristic
307C2×C22⋊C4×C37C2311yescharacteristic
308C2×C22⋊C4×C37C2311yescharacteristic
309C2×C22⋊C4×C37C2311yescharacteristic
310C2×C22⋊C4×C37C2311yescharacteristic
311C2×C22⋊C4×C37C2311yescharacteristic
312C2×C22⋊C4×C37C2311yescharacteristic
313C2×C22⋊C4×C37C2311yescharacteristic
314C2×C22⋊C4×C37C2311yescharacteristic
315C2×C22⋊C4×C37C2311yescharacteristic
316C2×C22⋊C4×C37C2311yescharacteristic
317C2×C22⋊C4×C37C2311yescharacteristic
318C2×C22⋊C4×C37C2311yescharacteristic
319C2×C22⋊C4×C37C2311yescharacteristic
320C2×C22⋊C4×C37C2311yescharacteristic
321C2×C22⋊C4×C37C2311yescharacteristic
322C2×C22⋊C4×C37C2311yescharacteristic
323C2×C22⋊C4×C37C2311yescharacteristic
324C2×C22⋊C4×C37C2311yescharacteristic
325C2×C22⋊C4×C37C2311yescharacteristic
326C2×C22⋊C4×C37C2311yescharacteristic
327C2×C22⋊C4×C37C2311yescharacteristic
328C2×C22⋊C4×C37C2311yescharacteristic
329C2×C22⋊C4×C37C2311yescharacteristic
330C2×C22⋊C4×C37C2311yescharacteristic
331C2×C22⋊C4×C37C2311yescharacteristic
332C2×C22⋊C4×C37C2311yescharacteristic
333C2×C42×C37—42no—
334C2×C42×C37C2311yescharacteristic
335C2×C42×C37C2311yescharacteristic
336C2×C42×C37C2311yescharacteristic
337C2×C42×C37C2311yescharacteristic
338C2×C42×C37C2311yescharacteristic
339C2×C42×C37C2311yescharacteristic
340C2×C42×C37C2311yescharacteristic
341C2×C42×C37C2311yescharacteristic
342C2×C42×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
369#95×C37C2311yescharacteristic
370#95×C37C2311yescharacteristic
371#95×C37C2311yescharacteristic
372#95×C37C2311yescharacteristic
373#95×C37C2311yescharacteristic
374#95×C37C2311yescharacteristic
375#95×C37C2311yescharacteristic
376#95×C37C2311yescharacteristic
377#95×C37C2311yescharacteristic
378#95×C37C2311yescharacteristic
379C24×C37C2411yescharacteristic
380C24×C37C2411yescharacteristic
381C24×C37C2411yescharacteristic
382C24×C37C2411yescharacteristic
383C24×C37C2411yescharacteristic
384C24×C37C2411yescharacteristic
385C2×Q8×C37—22no—
386C2×Q8×C37—41no—
387C2×Q8×C37—41no—
388C2×D4×C37—22no—
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—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—
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—
425C2×D4×C37—41no—
426C2×D4×C37—41no—
427C2×D4×C37—41no—
428C2×D4×C37—41no—
429C2×D4×C37—41no—
430C2×D4×C37—41no—
431C2×D4×C37—41no—
432C2×D4×C37C2×D414yes—
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—41no—
441C22×C4×C37—41no—
442C22×C4×C37—41no—
443C22×C4×C37—41no—
444C22×C4×C37—41no—
445C22×C4×C37—41no—
446C22×C4×C37—41no—
447C22×C4×C37—41no—
448C22×C4×C37—41no—
449C22×C4×C37—41no—
450C22×C4×C37—41no—
451C22×C4×C37—41no—
452C22×C4×C37—41no—
453C22×C4×C37—41no—
454C22×C4×C37—41no—
455C22×C4×C37—41no—
456C22×C4×C37—41no—
457C22×C4×C37—41no—
458C22×C4×C37—41no—
459C22×C4×C37—41no—
460C22×C4×C37—41no—
461C22×C4×C37C2×D414yes—
462C22×C4×C37C2×D414yes—
463C22×C4×C37C2411yescharacteristic
464C22×C4×C37C2411yescharacteristic
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
488C4⋊C4×C37—22no—
489C4⋊C4×C37—22no—
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—22no—
498C4⋊C4×C37—22no—
499C4⋊C4×C37—22no—
500C4⋊C4×C37—22no—
501C4⋊C4×C37—22no—
502C4⋊C4×C37—22no—
503C4⋊C4×C37—22no—
504C4⋊C4×C37—22no—
505C4⋊C4×C37—22no—
506C4⋊C4×C37—22no—
507C4⋊C4×C37—22no—
508C4⋊C4×C37—22no—
509C4⋊C4×C37—22no—
510C4⋊C4×C37—41no—
511C4⋊C4×C37—41no—
512C4⋊C4×C37—41no—
513C4⋊C4×C37—41no—
514C4⋊C4×C37—41no—
515C4⋊C4×C37—41no—
516C4⋊C4×C37—41no—
517C4⋊C4×C37—41no—
518C4⋊C4×C37—41no—
519C4⋊C4×C37—41no—
520C4⋊C4×C37—41no—
521C4⋊C4×C37C2×D414yes—
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—22no—
537C22⋊C4×C37—22no—
538C22⋊C4×C37—22no—
539C22⋊C4×C37—22no—
540C22⋊C4×C37—22no—
541C22⋊C4×C37—41no—
542C22⋊C4×C37—41no—
543C22⋊C4×C37—41no—
544C22⋊C4×C37—41no—
545C22⋊C4×C37—41no—
546C22⋊C4×C37—41no—
547C22⋊C4×C37—41no—
548C22⋊C4×C37—41no—
549C22⋊C4×C37—41no—
550C22⋊C4×C37—41no—
551C22⋊C4×C37—41no—
552C22⋊C4×C37—41no—
553C22⋊C4×C37—41no—
554C22⋊C4×C37—41no—
555C22⋊C4×C37—41no—
556C22⋊C4×C37—41no—
557C22⋊C4×C37—41no—
558C22⋊C4×C37—41no—
559C22⋊C4×C37—41no—
560C22⋊C4×C37—41no—
561C22⋊C4×C37—41no—
562C22⋊C4×C37—41no—
563C22⋊C4×C37—41no—
564C22⋊C4×C37—41no—
565C22⋊C4×C37—41no—
566C22⋊C4×C37—41no—
567C22⋊C4×C37—41no—
568C22⋊C4×C37—41no—
569C22⋊C4×C37—41no—
570C22⋊C4×C37C2×D414yes—
571C22⋊C4×C37C2×D414yes—
572C42×C37—22no—
573C42×C37—22no—
574C42×C37—22no—
575C42×C37—22no—
576C42×C37—41no—
577C42×C37—41no—
578C42×C37—41no—
579C42×C37—41no—
580C42×C37C2×D414yes—
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—21no—
612C23×C37—21no—
613C23×C37—21no—
614C23×C37—21no—
615C23×C37—21no—
616C23×C37—21no—
617C23×C37—21no—
618C23×C37—21no—
619C23×C37—21no—
620C23×C37—21no—
621C23×C37C22×D412yes—
622C23×C37C22×D412yes—
623C23×C37C2511yescharacteristic
624Q8×C37—82no—
625D4×C37—44no—
626D4×C37—44no—
627D4×C37—44no—
628D4×C37—82no—
629D4×C37—82no—
630D4×C37—82no—
631D4×C37—82no—
632D4×C37—82no—
633D4×C37—82no—
634D4×C37—82no—
635D4×C37—82no—
636D4×C37—82no—
637D4×C37—82no—
638D4×C37—82no—
639D4×C37—82no—
640C2×C4×C37—21no—
641C2×C4×C37—21no—
642C2×C4×C37—21no—
643C2×C4×C37—21no—
644C2×C4×C37—21no—
645C2×C4×C37—21no—
646C2×C4×C37—21no—
647C2×C4×C37—21no—
648C2×C4×C37—21no—
649C2×C4×C37—21no—
650C2×C4×C37—21no—
651C2×C4×C37—21no—
652C2×C4×C37—21no—
653C2×C4×C37—21no—
654C2×C4×C37—21no—
655C2×C4×C37—21no—
656C2×C4×C37—21no—
657C2×C4×C37—21no—
658C2×C4×C37—21no—
659C2×C4×C37—21no—
660C2×C4×C37—21no—
661C2×C4×C37—21no—
662C2×C4×C37—21no—
663C2×C4×C37—21no—
664C2×C4×C37—21no—
665C2×C4×C37—21no—
666C2×C4×C37—21no—
667C2×C4×C37—21no—
668C2×C4×C37—21no—
669C2×C4×C37—21no—
670C2×C4×C37—21no—
671C2×C4×C37—21no—
672C2×C4×C37—21no—
673C2×C4×C37—21no—
674C2×C4×C37—21no—
675C2×C4×C37—21no—
676C2×C4×C37—21no—
677C2×C4×C37—21no—
678C2×C4×C37—21no—
679C2×C4×C37—21no—
680C2×C4×C37—21no—
681C2×C4×C37—21no—
682C2×C4×C37—21no—
683C2×C4×C37—21no—
684C2×C4×C37—21no—
685C2×C4×C37—21no—
686C2×C4×C37—21no—
687C2×C4×C37—21no—
688C2×C4×C37—21no—
689C2×C4×C37—21no—
690C2×C4×C37—21no—
691C2×C4×C37—21no—
692C2×C4×C37—21no—
693C2×C4×C37—21no—
694C2×C4×C37—21no—
695C2×C4×C37—21no—
696C2×C4×C37—21no—
697C2×C4×C37—21no—
698C2×C4×C37—21no—
699C2×C4×C37—21no—
700C2×C4×C37—21no—
701C2×C4×C37—21no—
702C2×C4×C37—21no—
703C2×C4×C37—21no—
704C2×C4×C37—21no—
705C2×C4×C37—21no—
706C2×C4×C37—21no—
707C2×C4×C37—21no—
708C2×C4×C37—21no—
709C2×C4×C37—44no—
710C2×C4×C37—44no—
711C2×C4×C37—44no—
712C2×C4×C37—44no—
713C2×C4×C37—44no—
714C2×C4×C37—44no—
715C2×C4×C37—82no—
716C2×C4×C37—82no—
717C2×C4×C37—82no—
718C2×C4×C37—82no—
719C2×C4×C37C22×D412yes—
720C2×C4×C37C22×D412yes—
721C2×C4×C37C22×D412yes—
722C2×C4×C37C22×D412yes—
723C2×C4×C37C22×D412yes—
724C2×C4×C37H(5,𝔽2)12yes—
725#36746C3711yesmaximal, 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—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×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×C37C23×D411yescharacteristic
769C22×C37C2×H(5,𝔽2)11yescharacteristic
770C22×C37#58511yescharacteristic
771C22×C37#58511yescharacteristic
772C22×C37#58511yescharacteristic
773C22×C37#58511yescharacteristic
774C22×C37#58511yescharacteristic
775C4×C37—22no—
776C4×C37—22no—
777C4×C37—22no—
778C4×C37—22no—
779C4×C37—22no—
780C4×C37—22no—
781C4×C37—41no—
782C4×C37—41no—
783C4×C37—41no—
784C4×C37—41no—
785C4×C37—41no—
786C4×C37—41no—
787C4×C37—41no—
788C4×C37—41no—
789C4×C37—41no—
790C4×C37—41no—
791C4×C37—41no—
792C4×C37—41no—
793C4×C37—41no—
794C4×C37—41no—
795C4×C37—41no—
796C4×C37—41no—
797C4×C37—41no—
798C4×C37—41no—
799C4×C37—41no—
800C2×#540C2×C3711yescharacteristic, complemented
801C2×#539C2×C3711yescharacteristic, complemented
802#2854C2×C3711yescharacteristic, complemented
803#2850C2×C3711yescharacteristic, complemented
804#2719C2×C3711yescharacteristic, complemented
805#2711C2×C3711yescharacteristic, complemented
806#2709C2×C3711yescharacteristic, complemented
807#2708C2×C3711yescharacteristic, complemented
808#2706C2×C3711yescharacteristic, complemented
809#2703C2×C3711yescharacteristic, complemented
810#2695C2×C3711yescharacteristic, complemented
811#2693C2×C3711yescharacteristic, complemented
812#2691C2×C3711yescharacteristic, complemented
813#2690C2×C3711yescharacteristic, complemented
814#2688C2×C3711yescharacteristic, complemented
815#2687C2×C3711yescharacteristic, complemented
816#2676C2×C3711yescharacteristic, complemented
817#2673C2×C3711yescharacteristic, complemented
818#2672C2×C3711yescharacteristic, complemented
819#2671C2×C3711yescharacteristic, complemented
820#2663C2×C3711yescharacteristic, complemented
821#2661C2×C3711yescharacteristic, complemented
822#2611C2×C3711yescharacteristic, complemented
823#2603C2×C3711yescharacteristic, complemented
824#2602C2×C3711yescharacteristic, complemented
825#2601C2×C3711yescharacteristic, complemented
826#2591C2×C3711yescharacteristic, complemented
827#2562C2×C3711yescharacteristic, complemented
828#2414C2×C3711yescharacteristic, complemented
829#2413C2×C3711yescharacteristic, complemented
830#2290C2×C3711yescharacteristic, complemented
831C2×C37—42no—
832C2×C37—42no—
833C2×C37—81no—
834C2×C37—81no—
835C2×C37—81no—
836C2×C37—81no—
837C2×C37#344911yescharacteristic
838C2×C37#349611yescharacteristic
839C2×C37#350011yescharacteristic
840C2×C37#353311yescharacteristic
841C2×C37#353911yescharacteristic
842C2×C37#356611yescharacteristic
843C2×C37#356711yescharacteristic
844#540—28no—
845#539—28no—
846C2×#127C22×C3711yescharacteristic
847C2×#126C22×C3711yescharacteristic
848C2×#126C22×C3711yescharacteristic
849C2×#125C22×C3711yescharacteristic
850C2×#125C22×C3711yescharacteristic
851C2×#125C22×C3711yescharacteristic
852C2×#124C22×C3711yescharacteristic
853C2×#123C22×C3711yescharacteristic
854C2×#123C22×C3711yescharacteristic
855C2×#123C22×C3711yescharacteristic
856C2×#123C22×C3711yescharacteristic
857C2×#123C22×C3711yescharacteristic
858C2×#123C22×C3711yescharacteristic
859C2×#123C22×C3711yescharacteristic
860C2×#123C22×C3711yescharacteristic
861C2×#123C22×C3711yescharacteristic
862C2×C22⋊Q8C22×C3711yescharacteristic
863C2×C22⋊Q8C22×C3711yescharacteristic
864C2×C22⋊Q8C22×C3711yescharacteristic
865C2×#121C22×C3711yescharacteristic
866C2×#121C22×C3711yescharacteristic
867C2×#121C22×C3711yescharacteristic
868C2×#121C22×C3711yescharacteristic
869C2×#121C22×C3711yescharacteristic
870C2×#121C22×C3711yescharacteristic
871C2×#121C22×C3711yescharacteristic
872C2×#121C22×C3711yescharacteristic
873C2×#121C22×C3711yescharacteristic
874C2×C4×D4C22×C3711yescharacteristic
875C2×C4×D4C22×C3711yescharacteristic
876C2×C4×D4C22×C3711yescharacteristic
877C2×#117C22×C3711yescharacteristic
878C2×#117C22×C3711yescharacteristic
879C22×C4⋊C4C22×C3711yescharacteristic
880C22×C42C22×C3711yescharacteristic
881#400C22×C3711yescharacteristic
882#400C22×C3711yescharacteristic
883#400C22×C3711yescharacteristic
884#400C22×C3711yescharacteristic
885#400C22×C3711yescharacteristic
886#400C22×C3711yescharacteristic
887#399C22×C3711yescharacteristic
888#399C22×C3711yescharacteristic
889#398C22×C3711yescharacteristic
890#398C22×C3711yescharacteristic
891#398C22×C3711yescharacteristic
892#398C22×C3711yescharacteristic
893#398C22×C3711yescharacteristic
894#398C22×C3711yescharacteristic
895#397C22×C3711yescharacteristic
896#397C22×C3711yescharacteristic
897#397C22×C3711yescharacteristic
898#397C22×C3711yescharacteristic
899#397C22×C3711yescharacteristic
900#397C22×C3711yescharacteristic
901#396C22×C3711yescharacteristic
902#396C22×C3711yescharacteristic
903#396C22×C3711yescharacteristic
904#396C22×C3711yescharacteristic
905#395C22×C3711yescharacteristic
906#394C22×C3711yescharacteristic
907#394C22×C3711yescharacteristic
908#394C22×C3711yescharacteristic
909#394C22×C3711yescharacteristic
910#394C22×C3711yescharacteristic
911#394C22×C3711yescharacteristic
912#394C22×C3711yescharacteristic
913#394C22×C3711yescharacteristic
914#394C22×C3711yescharacteristic
915#394C22×C3711yescharacteristic
916#394C22×C3711yescharacteristic
917#394C22×C3711yescharacteristic
918#394C22×C3711yescharacteristic
919#394C22×C3711yescharacteristic
920#394C22×C3711yescharacteristic
921#393C22×C3711yescharacteristic
922#392C22×C3711yescharacteristic
923#392C22×C3711yescharacteristic
924#392C22×C3711yescharacteristic
925#392C22×C3711yescharacteristic
926#392C22×C3711yescharacteristic
927#392C22×C3711yescharacteristic
928#392C22×C3711yescharacteristic
929#391C22×C3711yescharacteristic
930#390C22×C3711yescharacteristic
931#390C22×C3711yescharacteristic
932#390C22×C3711yescharacteristic
933#390C22×C3711yescharacteristic
934#390C22×C3711yescharacteristic
935#390C22×C3711yescharacteristic
936#389C22×C3711yescharacteristic
937#389C22×C3711yescharacteristic
938#389C22×C3711yescharacteristic
939#389C22×C3711yescharacteristic
940#389C22×C3711yescharacteristic
941#388C22×C3711yescharacteristic
942#388C22×C3711yescharacteristic
943#388C22×C3711yescharacteristic
944#388C22×C3711yescharacteristic
945#388C22×C3711yescharacteristic
946#388C22×C3711yescharacteristic
947#388C22×C3711yescharacteristic
948#388C22×C3711yescharacteristic
949#388C22×C3711yescharacteristic
950#388C22×C3711yescharacteristic
951#388C22×C3711yescharacteristic
952#388C22×C3711yescharacteristic
953#388C22×C3711yescharacteristic
954#388C22×C3711yescharacteristic
955#388C22×C3711yescharacteristic
956#388C22×C3711yescharacteristic
957#387C22×C3711yescharacteristic
958#387C22×C3711yescharacteristic
959#387C22×C3711yescharacteristic
960#387C22×C3711yescharacteristic
961#387C22×C3711yescharacteristic
962#387C22×C3711yescharacteristic
963#386C22×C3711yescharacteristic
964#386C22×C3711yescharacteristic
965#386C22×C3711yescharacteristic
966#386C22×C3711yescharacteristic
967#386C22×C3711yescharacteristic
968#386C22×C3711yescharacteristic
969#386C22×C3711yescharacteristic
970#386C22×C3711yescharacteristic
971#386C22×C3711yescharacteristic
972#386C22×C3711yescharacteristic
973#386C22×C3711yescharacteristic
974#386C22×C3711yescharacteristic
975#386C22×C3711yescharacteristic
976#386C22×C3711yescharacteristic
977#386C22×C3711yescharacteristic
978#386C22×C3711yescharacteristic
979#386C22×C3711yescharacteristic
980#385C22×C3711yescharacteristic
981#385C22×C3711yescharacteristic
982#385C22×C3711yescharacteristic
983#385C22×C3711yescharacteristic
984#385C22×C3711yescharacteristic
985#385C22×C3711yescharacteristic
986#385C22×C3711yescharacteristic
987#385C22×C3711yescharacteristic
988#385C22×C3711yescharacteristic
989#382C22×C3711yescharacteristic
990#381C22×C3711yescharacteristic
991#380C22×C3711yescharacteristic
992#380C22×C3711yescharacteristic
993#380C22×C3711yescharacteristic
994#380C22×C3711yescharacteristic
995#380C22×C3711yescharacteristic
996#380C22×C3711yescharacteristic
997C4×C4⋊C4C22×C3711yescharacteristic
998C4×C22⋊C4C22×C3711yescharacteristic
999C4×C22⋊C4C22×C3711yescharacteristic
1000#376C22×C3711yescharacteristic
1001C37#3674611yescharacteristic, direct product factor, Sylow
1002C22×Q8C23×C3711yescharacteristic
1003C22×D4C23×C3711yescharacteristic
1004C22×D4C23×C3711yescharacteristic
1005C22×D4C23×C3711yescharacteristic
1006C22×D4C23×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
1018C23×C4C23×C3711yescharacteristic
1019C23×C4C23×C3711yescharacteristic
1020C23×C4C23×C3711yescharacteristic
1021C23×C4C23×C3711yescharacteristic
1022C23×C4C23×C3711yescharacteristic
1023C23×C4C23×C3711yescharacteristic
1024C23×C4C23×C3711yescharacteristic
1025C23×C4C23×C3711yescharacteristic
1026C23×C4C23×C3711yescharacteristic
1027C23×C4C23×C3711yescharacteristic
1028#127—24no—
1029#126—24no—
1030#126—24no—
1031#125—24no—
1032#125—24no—
1033#125—24no—
1034#124—42no—
1035#123—24no—
1036#123—24no—
1037#123—24no—
1038#123—24no—
1039#123—24no—
1040#123—24no—
1041#123—24no—
1042#123—24no—
1043#123—42no—
1044C22⋊Q8—24no—
1045C22⋊Q8—24no—
1046C22⋊Q8—24no—
1047#121—24no—
1048#121—24no—
1049#121—24no—
1050#121—24no—
1051#121—24no—
1052#121—24no—
1053#121—24no—
1054#121—42no—
1055#121—42no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4D4×C3718yescomplemented
1059#117—24no—
1060#117—42no—
1061C2×C4⋊C4—24no—
1062C2×C4⋊C4C23×C3711yescharacteristic
1063C2×C4⋊C4C23×C3711yescharacteristic
1064C2×C4⋊C4C23×C3711yescharacteristic
1065C2×C4⋊C4C23×C3711yescharacteristic
1066C2×C4⋊C4C23×C3711yescharacteristic
1067C2×C4⋊C4C23×C3711yescharacteristic
1068C2×C4⋊C4C23×C3711yescharacteristic
1069C2×C4⋊C4C23×C3711yescharacteristic
1070C2×C4⋊C4C23×C3711yescharacteristic
1071C2×C4⋊C4C23×C3711yescharacteristic
1072C2×C4⋊C4C23×C3711yescharacteristic
1073C2×C4⋊C4C23×C3711yescharacteristic
1074C2×C4⋊C4C23×C3711yescharacteristic
1075C2×C4⋊C4C23×C3711yescharacteristic
1076C2×C4⋊C4C23×C3711yescharacteristic
1077C2×C4⋊C4C23×C3711yescharacteristic
1078C2×C4⋊C4C23×C3711yescharacteristic
1079C2×C4⋊C4C23×C3711yescharacteristic
1080C2×C4⋊C4C23×C3711yescharacteristic
1081C2×C4⋊C4C23×C3711yescharacteristic
1082C2×C4⋊C4C23×C3711yescharacteristic
1083C2×C4⋊C4C23×C3711yescharacteristic
1084C2×C4⋊C4C23×C3711yescharacteristic
1085C2×C4⋊C4C23×C3711yescharacteristic
1086C2×C4⋊C4C23×C3711yescharacteristic
1087C2×C4⋊C4C23×C3711yescharacteristic
1088C2×C4⋊C4C23×C3711yescharacteristic
1089C2×C4⋊C4C23×C3711yescharacteristic
1090C2×C4⋊C4C23×C3711yescharacteristic
1091C2×C4⋊C4C23×C3711yescharacteristic
1092C2×C4⋊C4C23×C3711yescharacteristic
1093C2×C4⋊C4C23×C3711yescharacteristic
1094C2×C4⋊C4C23×C3711yescharacteristic
1095C2×C4⋊C4C23×C3711yescharacteristic
1096C2×C22⋊C4C23×C3711yescharacteristic
1097C2×C22⋊C4C23×C3711yescharacteristic
1098C2×C22⋊C4C23×C3711yescharacteristic
1099C2×C22⋊C4C23×C3711yescharacteristic
1100C2×C22⋊C4C23×C3711yescharacteristic
1101C2×C22⋊C4C23×C3711yescharacteristic
1102C2×C22⋊C4C23×C3711yescharacteristic
1103C2×C22⋊C4C23×C3711yescharacteristic
1104C2×C22⋊C4C23×C3711yescharacteristic
1105C2×C22⋊C4C23×C3711yescharacteristic
1106C2×C22⋊C4C23×C3711yescharacteristic
1107C2×C22⋊C4C23×C3711yescharacteristic
1108C2×C22⋊C4C23×C3711yescharacteristic
1109C2×C22⋊C4C23×C3711yescharacteristic
1110C2×C22⋊C4C23×C3711yescharacteristic
1111C2×C22⋊C4C23×C3711yescharacteristic
1112C2×C22⋊C4C23×C3711yescharacteristic
1113C2×C22⋊C4C23×C3711yescharacteristic
1114C2×C22⋊C4C23×C3711yescharacteristic
1115C2×C22⋊C4C23×C3711yescharacteristic
1116C2×C22⋊C4C23×C3711yescharacteristic
1117C2×C22⋊C4C23×C3711yescharacteristic
1118C2×C22⋊C4C23×C3711yescharacteristic
1119C2×C22⋊C4C23×C3711yescharacteristic
1120C2×C22⋊C4C23×C3711yescharacteristic
1121C2×C22⋊C4C23×C3711yescharacteristic
1122C2×C22⋊C4C23×C3711yescharacteristic
1123C2×C22⋊C4C23×C3711yescharacteristic
1124C2×C22⋊C4C23×C3711yescharacteristic
1125C2×C22⋊C4C23×C3711yescharacteristic
1126C2×C22⋊C4C23×C3711yescharacteristic
1127C2×C22⋊C4C23×C3711yescharacteristic
1128C2×C22⋊C4C23×C3711yescharacteristic
1129C2×C22⋊C4C23×C3711yescharacteristic
1130C2×C22⋊C4C23×C3711yescharacteristic
1131C2×C22⋊C4C23×C3711yescharacteristic
1132C2×C22⋊C4C23×C3711yescharacteristic
1133C2×C22⋊C4C23×C3711yescharacteristic
1134C2×C22⋊C4C23×C3711yescharacteristic
1135C2×C22⋊C4C23×C3711yescharacteristic
1136C2×C22⋊C4C23×C3711yescharacteristic
1137C2×C22⋊C4C23×C3711yescharacteristic
1138C2×C22⋊C4C23×C3711yescharacteristic
1139C2×C22⋊C4C23×C3711yescharacteristic
1140C2×C22⋊C4C23×C3711yescharacteristic
1141C2×C22⋊C4C23×C3711yescharacteristic
1142C2×C22⋊C4C23×C3711yescharacteristic
1143C2×C22⋊C4C23×C3711yescharacteristic
1144C2×C22⋊C4C23×C3711yescharacteristic
1145C2×C22⋊C4C23×C3711yescharacteristic
1146C2×C42—42no—
1147C2×C42C23×C3711yescharacteristic
1148C2×C42C23×C3711yescharacteristic
1149C2×C42C23×C3711yescharacteristic
1150C2×C42C23×C3711yescharacteristic
1151C2×C42C23×C3711yescharacteristic
1152C2×C42C23×C3711yescharacteristic
1153C2×C42C23×C3711yescharacteristic
1154C2×C42C23×C3711yescharacteristic
1155C2×C42C23×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
1183#95C23×C3711yescharacteristic
1184#95C23×C3711yescharacteristic
1185#95C23×C3711yescharacteristic
1186#95C23×C3711yescharacteristic
1187#95C23×C3711yescharacteristic
1188#95C23×C3711yescharacteristic
1189#95C23×C3711yescharacteristic
1190#95C23×C3711yescharacteristic
1191#95C23×C3711yescharacteristic
1192C24C24×C3711yescharacteristic
1193C24C24×C3711yescharacteristic
1194C24C24×C3711yescharacteristic
1195C24C24×C3711yescharacteristic
1196C24C24×C3711yescharacteristic
1197C24C24×C3711yescharacteristic
1198C2×Q8—22no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×D4—22no—
1202C2×D4—22no—
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—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4C2×D4×C3714yes—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4C2×D4×C3714yes—
1275C22×C4C2×D4×C3714yes—
1276C22×C4C24×C3711yescharacteristic
1277C22×C4C24×C3711yescharacteristic
1278C22×C4C24×C3711yescharacteristic
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
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4C2×D4×C3714yes—
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—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4C2×D4×C3714yes—
1384C22⋊C4C2×D4×C3714yes—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—41no—
1390C42—41no—
1391C42—41no—
1392C42—41no—
1393C42C2×D4×C3714yes—
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—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23C22×D4×C3712yes—
1435C23C22×D4×C3712yes—
1436C23C25×C3711yescharacteristic
1437Q8—82no—
1438D4—44no—
1439D4—44no—
1440D4—44no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—82no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—82no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4—82no—
1531C2×C4—82no—
1532C2×C4C22×D4×C3712yes—
1533C2×C4C22×D4×C3712yes—
1534C2×C4C22×D4×C3712yes—
1535C2×C4C22×D4×C3712yes—
1536C2×C4C22×D4×C3712yes—
1537C2×C4H(5,𝔽2)×C3712yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
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—
1580C22C23×D4×C3711yescharacteristic
1581C22C2×H(5,𝔽2)×C3711yescharacteristic
1582C22C37×#58511yescharacteristic
1583C22C37×#58511yescharacteristic
1584C22C37×#58511yescharacteristic
1585C22C37×#58511yescharacteristic
1586C22C37×#58511yescharacteristic
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C2—42no—
1613C2—42no—
1614C2—81no—
1615C2—81no—
1616C2—81no—
1617C2—81no—
1618C2C37×#344911yescharacteristic
1619C2C37×#349611yescharacteristic
1620C2C37×#350011yescharacteristic
1621C2C37×#353311yescharacteristic
1622C2C37×#353911yescharacteristic
1623C2C37×#356611yescharacteristic
1624C2C37×#356711yescharacteristic
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. C2×C37×#540C2semidirect
2. C2×C37×#539C2semidirect
3. C37×#2854C2semidirect
4. C37×#2850C2semidirect
5. C37×#2719C2semidirect
6. C37×#2711C2semidirect
7. C37×#2709C2semidirect
8. C37×#2708C2semidirect
9. C37×#2706C2semidirect
10. C37×#2703C2semidirect
11. C37×#2695C2semidirect
12. C37×#2693C2semidirect
13. C37×#2691C2semidirect
14. C37×#2690C2semidirect
15. C37×#2688C2semidirect
16. C37×#2687C2semidirect
17. C37×#2676C2semidirect
18. C37×#2673C2semidirect
19. C37×#2672C2semidirect
20. C37×#2671C2semidirect
21. C37×#2663C2semidirect
22. C37×#2661C2semidirect
23. C37×#2611C2semidirect
24. C37×#2603C2semidirect
25. C37×#2602C2semidirect
26. C37×#2601C2semidirect
27. C37×#2591C2semidirect
28. C37×#2562C2semidirect
29. C37×#2414C2semidirect
30. C37×#2413C2semidirect
31. C37×#2290C2semidirect
245. C4×D4×C37D4semidirect
725. #36746C37direct (N × H)
800. C2×#540C2×C37semidirect
801. C2×#539C2×C37semidirect
802. #2854C2×C37semidirect
803. #2850C2×C37semidirect
804. #2719C2×C37semidirect
805. #2711C2×C37semidirect
806. #2709C2×C37semidirect
807. #2708C2×C37semidirect
808. #2706C2×C37semidirect
809. #2703C2×C37semidirect
810. #2695C2×C37semidirect
811. #2693C2×C37semidirect
812. #2691C2×C37semidirect
813. #2690C2×C37semidirect
814. #2688C2×C37semidirect
815. #2687C2×C37semidirect
816. #2676C2×C37semidirect
817. #2673C2×C37semidirect
818. #2672C2×C37semidirect
819. #2671C2×C37semidirect
820. #2663C2×C37semidirect
821. #2661C2×C37semidirect
822. #2611C2×C37semidirect
823. #2603C2×C37semidirect
824. #2602C2×C37semidirect
825. #2601C2×C37semidirect
826. #2591C2×C37semidirect
827. #2562C2×C37semidirect
828. #2414C2×C37semidirect
829. #2413C2×C37semidirect
830. #2290C2×C37semidirect
1001. C37#36746direct (N × H)
1058. C4×D4D4×C37semidirect

Maximal subgroups

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

subgroupindex
C2×C37×#5402
C2×C37×#5392
C37×#28542
C37×#28502
C37×#27192
C37×#27112
C37×#27092
C37×#27082
C37×#27062
C37×#27032
C37×#26952
C37×#26932
C37×#26912
C37×#26902
C37×#26882
C37×#26872
C37×#26762
C37×#26732
C37×#26722
C37×#26712
C37×#26632
C37×#26612
C37×#26112
C37×#26032
C37×#26022
C37×#26012
C37×#25912
C37×#25622
C37×#24142
C37×#24132
C37×#22902
#3674637