Finite Group Databasebeta

← C37×#62007 #22683260

Subgroups — C37×#62007 #22683260

Order 9472.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3543C211yesmaximal, characteristic, complemented
2C37×#3513C211yesmaximal, characteristic, complemented
3C37×#3403C211yesmaximal, characteristic, complemented
4C37×#3399C211yesmaximal, characteristic, complemented
5C37×#3370C211yesmaximal, characteristic, complemented
6C37×#3366C211yesmaximal, characteristic, complemented
7C37×#3318C211yesmaximal, characteristic, complemented
8C37×#3310C211yesmaximal, characteristic, complemented
9C37×#3309C211yesmaximal, characteristic, complemented
10C37×#3306C211yesmaximal, characteristic, complemented
11C37×#3296C211yesmaximal, characteristic, complemented
12C37×#3294C211yesmaximal, characteristic, complemented
13C37×#3280C211yesmaximal, characteristic, complemented
14D4×D8×C37C211yesmaximal, characteristic, complemented
15C37×#3268C211yesmaximal, characteristic, complemented
16C37×#3264C211yesmaximal, characteristic, complemented
17C37×#3264C211yesmaximal, characteristic, complemented
18C37×#3264C211yesmaximal, characteristic, complemented
19C37×#3259C211yesmaximal, characteristic, complemented
20C37×#3257C211yesmaximal, characteristic, complemented
21C37×#3250C211yesmaximal, characteristic, complemented
22C37×#3224C211yesmaximal, characteristic, complemented
23C37×#3220C211yesmaximal, characteristic, complemented
24C37×#3217C211yesmaximal, characteristic, complemented
25C37×#3122C211yesmaximal, characteristic, complemented
26C37×#3119C211yesmaximal, characteristic, complemented
27C37×#3114C211yesmaximal, characteristic, complemented
28C37×#3045C211yesmaximal, characteristic, complemented
29C37×#3041C211yesmaximal, characteristic, complemented
30C2×C37×#459C211yesmaximal, characteristic, complemented
31C37×#2992C211yesmaximal, characteristic, complemented
32C2×AGL(1,ℤ/8)×C37C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C37C2211yescharacteristic, complemented
34C2×#135×C37C2211yescharacteristic, complemented
35C22×D8×C37C2211yescharacteristic, complemented
36C22×D8×C37C2211yescharacteristic, complemented
37C22×D8×C37C2211yescharacteristic, complemented
38C37×#560—21no—
39C37×#560—21no—
40C37×#559C2211yescharacteristic, complemented
41C37×#559C2211yescharacteristic, complemented
42C37×#554C2211yescharacteristic, complemented
43C37×#553—21no—
44C37×#553C2211yescharacteristic, complemented
45C37×#552C2211yescharacteristic, complemented
46C37×#551—21no—
47C37×#551—21no—
48C37×#550C2211yescharacteristic, complemented
49C37×#550C2211yescharacteristic, complemented
50C37×#547C2211yescharacteristic, complemented
51C37×#546—21no—
52C37×#546—21no—
53C37×#546C2211yescharacteristic
54C37×#546C2211yescharacteristic, complemented
55C37×#546C2211yescharacteristic, complemented
56C37×#546C2211yescharacteristic, complemented
57D42×C37—21no—
58D42×C37C2211yescharacteristic
59D42×C37C2211yescharacteristic, complemented
60D42×C37C2211yescharacteristic, complemented
61D42×C37C2211yescharacteristic, complemented
62C37×#542C2211yescharacteristic, complemented
63C37×#540—21no—
64C37×#540C2211yescharacteristic, complemented
65C37×#540C2211yescharacteristic, complemented
66C37×#540C2211yescharacteristic, complemented
67C37×#539—21no—
68C37×#538—21no—
69C37×#535—21no—
70C37×#535C2211yescharacteristic, complemented
71C37×#535C2211yescharacteristic, complemented
72C37×#534—21no—
73C37×#534—21no—
74C2×#127×C37C2211yescharacteristic, complemented
75C37×#529C2211yescharacteristic
76C37×#529C2211yescharacteristic, complemented
77C37×#529C2211yescharacteristic, complemented
78C37×#525—21no—
79C2×#123×C37—21no—
80C37×#520C2211yescharacteristic, complemented
81C37×#518C2211yescharacteristic, complemented
82C2×C4×D4×C37C2211yescharacteristic, complemented
83C37×#496C2211yescharacteristic, complemented
84C37×#496C2211yescharacteristic, complemented
85C37×#496C2211yescharacteristic, complemented
86C37×#496C2211yescharacteristic, complemented
87C37×#495C2211yescharacteristic, complemented
88C37×#493C2211yescharacteristic, complemented
89C37×#490C2211yescharacteristic, complemented
90C37×#490C2211yescharacteristic, complemented
91C37×#490C2211yescharacteristic, complemented
92C37×#489C2211yescharacteristic, complemented
93C37×#488C2211yescharacteristic, complemented
94C37×#486C2211yescharacteristic, complemented
95C37×#483C2211yescharacteristic, complemented
96C37×#482C2211yescharacteristic, complemented
97C37×#482C2211yescharacteristic, complemented
98C37×#481C2211yescharacteristic, complemented
99C37×#480C2211yescharacteristic, complemented
100C37×#480C2211yescharacteristic, complemented
101C37×#479C2211yescharacteristic, complemented
102C37×#479C2211yescharacteristic, complemented
103C37×#478C2211yescharacteristic, complemented
104C37×#478C2211yescharacteristic, complemented
105C37×#478C2211yescharacteristic, complemented
106C37×#478C2211yescharacteristic, complemented
107C37×#478C2211yescharacteristic, complemented
108C37×#478C2211yescharacteristic, complemented
109C37×#476C2211yescharacteristic, complemented
110C37×#474C2211yescharacteristic, complemented
111C37×#469C2211yescharacteristic, complemented
112C37×#469C2211yescharacteristic, complemented
113C37×#469C2211yescharacteristic, complemented
114C37×#468C2211yescharacteristic, complemented
115C37×#467C2211yescharacteristic, complemented
116C37×#466C2211yescharacteristic
117C37×#466C2211yescharacteristic, complemented
118C37×#466C2211yescharacteristic, complemented
119C37×#466C2211yescharacteristic, complemented
120C37×#465C2211yescharacteristic, complemented
121C37×#465C2211yescharacteristic, complemented
122C37×#465C2211yescharacteristic, complemented
123C37×#464C2211yescharacteristic, complemented
124C37×#464C2211yescharacteristic, complemented
125C37×#464C2211yescharacteristic, complemented
126C37×#463C2211yescharacteristic, complemented
127C37×#463C2211yescharacteristic, complemented
128C37×#463C2211yescharacteristic, complemented
129C37×#463C2211yescharacteristic, complemented
130C37×#463C2211yescharacteristic, complemented
131C37×#463C2211yescharacteristic, complemented
132C37×#463C2211yescharacteristic, complemented
133C37×#463C2211yescharacteristic, complemented
134C37×#463C2211yescharacteristic, complemented
135C37×#460C2211yescharacteristic, complemented
136C37×#460C2211yescharacteristic, complemented
137C37×#460C2211yescharacteristic, complemented
138C37×#459C2211yescharacteristic
139C37×#459C2211yescharacteristic, complemented
140C37×#459C2211yescharacteristic, complemented
141C37×#459C2211yescharacteristic, complemented
142C37×#459C2211yescharacteristic, complemented
143C37×#459C2211yescharacteristic, complemented
144C37×#459C2211yescharacteristic, complemented
145C37×#459C2211yescharacteristic, complemented
146C37×#459C2211yescharacteristic, complemented
147C37×#459C2211yescharacteristic, complemented
148C37×#459C2211yescharacteristic, complemented
149C37×#459C2211yescharacteristic, complemented
150C37×#459C2211yescharacteristic, complemented
151C37×#459C2211yescharacteristic, complemented
152C37×#459C2211yescharacteristic, complemented
153C37×#452C2211yescharacteristic, complemented
154C37×#450C2211yescharacteristic, complemented
155C37×#450C2211yescharacteristic, complemented
156C37×#450C2211yescharacteristic, complemented
157C37×#450C2211yescharacteristic, complemented
158C37×#449C2211yescharacteristic, complemented
159C37×#449C2211yescharacteristic, complemented
160C37×#449C2211yescharacteristic, complemented
161C37×#449C2211yescharacteristic, complemented
162C37×#449C2211yescharacteristic, complemented
163C37×#447C2211yescharacteristic
164C37×#447C2211yescharacteristic, complemented
165C37×#447C2211yescharacteristic, complemented
166C37×#447C2211yescharacteristic, complemented
167C37×#447C2211yescharacteristic, complemented
168C37×#447C2211yescharacteristic, complemented
169C37×#447C2211yescharacteristic, complemented
170C37×#447C2211yescharacteristic, complemented
171C37×#446C2211yescharacteristic, complemented
172C37×#446C2211yescharacteristic, complemented
173C37×#442C2211yescharacteristic, complemented
174C37×#442C2211yescharacteristic, complemented
175C37×#442C2211yescharacteristic, complemented
176C37×#442C2211yescharacteristic, complemented
177C37×#442C2211yescharacteristic, complemented
178C37×#440C2211yescharacteristic, complemented
179C37×#440C2211yescharacteristic, complemented
180C37×#440C2211yescharacteristic, complemented
181C4×SD16×C37C2211yescharacteristic, complemented
182C4×D8×C37C2211yescharacteristic, complemented
183C4×D8×C37C2211yescharacteristic, complemented
184C4×D8×C37C2211yescharacteristic, complemented
185C37×#435C2211yescharacteristic, complemented
186C37×#435C2211yescharacteristic, complemented
187C37×#435C2211yescharacteristic, complemented
188C37×#435C2211yescharacteristic, complemented
189C8×D4×C37C2211yescharacteristic, complemented
190C8×D4×C37C2211yescharacteristic, complemented
191C37×#433C2211yescharacteristic, complemented
192C37×#433C2211yescharacteristic, complemented
193C37×#432C2211yescharacteristic, complemented
194C37×#424C2211yescharacteristic, complemented
195C37×#424C2211yescharacteristic, complemented
196C2×C4⋊C8×C37C2211yescharacteristic, complemented
197C37×#418C2211yescharacteristic, complemented
198C37×#417C2211yescharacteristic, complemented
199C37×#416C2211yescharacteristic, complemented
200C2×#102×C37C2211yescharacteristic, complemented
201C2×#102×C37C2211yescharacteristic, complemented
202C2×#102×C37C2211yescharacteristic, complemented
203C2×#41×C37—21no—
204C2×#41×C37—21no—
205C2×#41×C37C2311yescharacteristic
206C2×#41×C37C2311yescharacteristic
207C2×#41×C37C2311yescharacteristic
208C22×D4×C37—21no—
209C22×D4×C37—21no—
210C22×D4×C37—21no—
211C22×D4×C37—21no—
212C22×D4×C37—21no—
213C22×D4×C37—21no—
214C22×D4×C37C2311yescharacteristic
215C22×D4×C37C2311yescharacteristic
216C22×D4×C37C2311yescharacteristic
217C22×D4×C37C2311yescharacteristic
218C22×D4×C37C2311yescharacteristic
219C22×D4×C37C2311yescharacteristic
220C23×C4×C37—21no—
221AGL(1,ℤ/8)×C37—42no—
222AGL(1,ℤ/8)×C37—42no—
223#135×C37—42no—
224C2×Q16×C37C2311yescharacteristic
225C2×SD16×C37C2311yescharacteristic
226C2×SD16×C37C2311yescharacteristic
227C2×SD16×C37C2311yescharacteristic
228C2×SD16×C37C2311yescharacteristic
229C2×SD16×C37C2311yescharacteristic
230C2×SD16×C37C2311yescharacteristic
231C2×SD16×C37C2311yescharacteristic
232C2×SD16×C37C2311yescharacteristic
233C2×D8×C37—42no—
234C2×D8×C37—42no—
235C2×D8×C37—42no—
236C2×D8×C37C2311yescharacteristic
237C2×D8×C37C2311yescharacteristic
238C2×D8×C37C2311yescharacteristic
239C2×D8×C37C2311yescharacteristic
240C2×D8×C37C2311yescharacteristic
241C2×D8×C37C2311yescharacteristic
242C2×D8×C37C2311yescharacteristic
243C2×D8×C37C2311yescharacteristic
244C2×D8×C37C2311yescharacteristic
245C2×D8×C37C2311yescharacteristic
246C2×D8×C37C2311yescharacteristic
247C2×D8×C37C2311yescharacteristic
248C2×D8×C37C2311yescharacteristic
249C2×D8×C37C2311yescharacteristic
250C2×D8×C37C2311yescharacteristic
251C2×M16×C37C2311yescharacteristic
252C2×M16×C37C2311yescharacteristic
253C22×C8×C37C2311yescharacteristic
254C22×C8×C37C2311yescharacteristic
255C22×C8×C37C2311yescharacteristic
256C22×C8×C37C2311yescharacteristic
257C4⋊Q8×C37C2311yescharacteristic
258#127×C37—21no—
259#127×C37—21no—
260#127×C37—21no—
261#127×C37C2311yescharacteristic
262#127×C37C2311yescharacteristic
263#127×C37C2311yescharacteristic
264#127×C37C2311yescharacteristic
265#127×C37C2311yescharacteristic
266#127×C37C2311yescharacteristic
267#127×C37C2311yescharacteristic
268#126×C37—21no—
269#126×C37—21no—
270#126×C37—21no—
271#126×C37—21no—
272#126×C37—21no—
273#126×C37D411yescharacteristic
274#126×C37D411yescharacteristic
275#125×C37—21no—
276#125×C37D411yescharacteristic
277#125×C37C2311yescharacteristic
278#125×C37C2311yescharacteristic
279#125×C37C2311yescharacteristic
280#124×C37—21no—
281#124×C37—21no—
282#124×C37—21no—
283#124×C37D411yescharacteristic
284#124×C37C2311yescharacteristic
285#124×C37C2311yescharacteristic
286#124×C37C2311yescharacteristic
287#124×C37C2311yescharacteristic
288#124×C37C2311yescharacteristic
289#123×C37—21no—
290#123×C37—21no—
291#123×C37—21no—
292#123×C37—21no—
293#123×C37—21no—
294#123×C37—21no—
295#123×C37—21no—
296#123×C37—21no—
297#123×C37—21no—
298#123×C37—21no—
299#123×C37—21no—
300#123×C37—21no—
301#123×C37—21no—
302#123×C37—21no—
303#123×C37—21no—
304#123×C37—21no—
305#123×C37—21no—
306#123×C37—21no—
307#123×C37—21no—
308#123×C37—21no—
309#123×C37—21no—
310#123×C37D411yescharacteristic
311#123×C37D411yescharacteristic
312C22⋊Q8×C37—21no—
313C22⋊Q8×C37—21no—
314C22⋊Q8×C37—21no—
315C22⋊Q8×C37—21no—
316C22⋊Q8×C37—21no—
317C22⋊Q8×C37D411yescharacteristic
318C22⋊Q8×C37C2311yescharacteristic
319C22⋊Q8×C37C2311yescharacteristic
320C22⋊Q8×C37C2311yescharacteristic
321#121×C37—21no—
322#121×C37—21no—
323#121×C37—21no—
324#121×C37—21no—
325#121×C37—21no—
326#121×C37—21no—
327#121×C37—21no—
328#121×C37—21no—
329#121×C37—21no—
330#121×C37—21no—
331#121×C37—21no—
332#121×C37—21no—
333#121×C37—21no—
334#121×C37—21no—
335#121×C37—21no—
336#121×C37—21no—
337#121×C37—21no—
338#121×C37—21no—
339#121×C37—21no—
340#121×C37—21no—
341#121×C37—21no—
342#121×C37—21no—
343#121×C37—21no—
344#121×C37—21no—
345#121×C37D411yescharacteristic
346#121×C37C2311yescharacteristic
347#121×C37C2311yescharacteristic
348#121×C37C2311yescharacteristic
349#121×C37C2311yescharacteristic
350#121×C37C2311yescharacteristic
351#121×C37C2311yescharacteristic
352#121×C37C2311yescharacteristic
353#121×C37C2311yescharacteristic
354#121×C37C2311yescharacteristic
355#120×C37—21no—
356#120×C37—21no—
357#120×C37—21no—
358#120×C37—21no—
359#120×C37—21no—
360#120×C37—21no—
361#120×C37—21no—
362#120×C37—21no—
363#120×C37—21no—
364#120×C37—21no—
365#120×C37—21no—
366#120×C37—21no—
367#120×C37—21no—
368#120×C37—21no—
369#120×C37—21no—
370#120×C37—21no—
371C4×Q8×C37C2311yescharacteristic
372C4×Q8×C37C2311yescharacteristic
373C4×Q8×C37C2311yescharacteristic
374C4×Q8×C37C2311yescharacteristic
375C4×D4×C37—21no—
376C4×D4×C37—21no—
377C4×D4×C37—21no—
378C4×D4×C37—21no—
379C4×D4×C37—21no—
380C4×D4×C37—21no—
381C4×D4×C37—21no—
382C4×D4×C37—21no—
383C4×D4×C37—21no—
384C4×D4×C37—21no—
385C4×D4×C37—21no—
386C4×D4×C37—21no—
387C4×D4×C37C2311yescharacteristic
388C4×D4×C37C2311yescharacteristic
389C4×D4×C37C2311yescharacteristic
390C4×D4×C37C2311yescharacteristic
391C4×D4×C37C2311yescharacteristic
392C4×D4×C37C2311yescharacteristic
393C4×D4×C37C2311yescharacteristic
394C4×D4×C37C2311yescharacteristic
395C4×D4×C37C2311yescharacteristic
396C4×D4×C37C2311yescharacteristic
397C4×D4×C37C2311yescharacteristic
398C4×D4×C37C2311yescharacteristic
399C4×D4×C37C2311yescharacteristic
400C4×D4×C37C2311yescharacteristic
401C4×D4×C37C2311yescharacteristic
402C4×D4×C37C2311yescharacteristic
403#117×C37—21no—
404#117×C37—21no—
405#117×C37—21no—
406#117×C37—21no—
407#117×C37C2311yescharacteristic
408#117×C37C2311yescharacteristic
409#117×C37C2311yescharacteristic
410C2×C4⋊C4×C37—21no—
411C2×C4⋊C4×C37—21no—
412C2×C4⋊C4×C37C2311yescharacteristic
413C2×C4⋊C4×C37C2311yescharacteristic
414C2×C22⋊C4×C37—21no—
415C2×C22⋊C4×C37—21no—
416C2×C22⋊C4×C37—21no—
417C2×C22⋊C4×C37—21no—
418C2×C22⋊C4×C37—21no—
419C2×C22⋊C4×C37—21no—
420C2×C22⋊C4×C37—21no—
421C2×C42×C37C2311yescharacteristic
422#107×C37C2311yescharacteristic
423#107×C37C2311yescharacteristic
424#107×C37C2311yescharacteristic
425#107×C37C2311yescharacteristic
426#106×C37C2311yescharacteristic
427#106×C37C2311yescharacteristic
428#106×C37C2311yescharacteristic
429#106×C37C2311yescharacteristic
430C4⋊C8×C37C2311yescharacteristic
431C4⋊C8×C37C2311yescharacteristic
432C4⋊C8×C37C2311yescharacteristic
433C4⋊C8×C37C2311yescharacteristic
434C4⋊C8×C37C2311yescharacteristic
435C4⋊C8×C37C2311yescharacteristic
436C4⋊C8×C37C2311yescharacteristic
437C4⋊C8×C37C2311yescharacteristic
438C4⋊C8×C37C2311yescharacteristic
439C4⋊C8×C37C2311yescharacteristic
440#103×C37C2311yescharacteristic
441#103×C37C2311yescharacteristic
442#103×C37C2311yescharacteristic
443#103×C37C2311yescharacteristic
444#103×C37C2311yescharacteristic
445#103×C37C2311yescharacteristic
446#102×C37C2311yescharacteristic
447#102×C37C2311yescharacteristic
448#102×C37C2311yescharacteristic
449#102×C37C2311yescharacteristic
450#102×C37C2311yescharacteristic
451#102×C37C2311yescharacteristic
452#102×C37C2311yescharacteristic
453#102×C37C2311yescharacteristic
454#102×C37C2311yescharacteristic
455#102×C37C2311yescharacteristic
456#102×C37C2311yescharacteristic
457#102×C37C2311yescharacteristic
458#102×C37C2311yescharacteristic
459#102×C37C2311yescharacteristic
460#102×C37C2311yescharacteristic
461#102×C37C2311yescharacteristic
462#102×C37C2311yescharacteristic
463#102×C37C2311yescharacteristic
464#102×C37C2311yescharacteristic
465#102×C37C2311yescharacteristic
466#102×C37C2311yescharacteristic
467#102×C37C2311yescharacteristic
468#102×C37C2311yescharacteristic
469#102×C37C2311yescharacteristic
470#102×C37C2311yescharacteristic
471#102×C37C2311yescharacteristic
472C22⋊C8×C37C2311yescharacteristic
473C22⋊C8×C37C2311yescharacteristic
474C22⋊C8×C37C2311yescharacteristic
475C22⋊C8×C37C2311yescharacteristic
476C22⋊C8×C37C2311yescharacteristic
477C22⋊C8×C37C2311yescharacteristic
478#97×C37C2311yescharacteristic
479#97×C37C2311yescharacteristic
480#97×C37C2311yescharacteristic
481#97×C37C2311yescharacteristic
482C4×C8×C37C2311yescharacteristic
483C4×C8×C37C2311yescharacteristic
484C24×C37—21no—
485C24×C37—21no—
486C24×C37—21no—
487C24×C37—21no—
488C24×C37—21no—
489C24×C37—21no—
490#41×C37—22no—
491#41×C37—41no—
492#41×C37—41no—
493#41×C37—41no—
494#41×C37—41no—
495#41×C37—41no—
496#41×C37—82no—
497#41×C37—82no—
498C2×Q8×C37—21no—
499C2×Q8×C37C2×D411yescharacteristic
500C2×Q8×C37C2411yescharacteristic
501C2×Q8×C37C2411yescharacteristic
502C2×D4×C37—22no—
503C2×D4×C37—22no—
504C2×D4×C37—21no—
505C2×D4×C37—21no—
506C2×D4×C37—21no—
507C2×D4×C37—21no—
508C2×D4×C37—21no—
509C2×D4×C37—21no—
510C2×D4×C37—21no—
511C2×D4×C37—21no—
512C2×D4×C37—21no—
513C2×D4×C37—21no—
514C2×D4×C37—21no—
515C2×D4×C37—21no—
516C2×D4×C37—21no—
517C2×D4×C37—21no—
518C2×D4×C37—21no—
519C2×D4×C37—21no—
520C2×D4×C37—21no—
521C2×D4×C37—21no—
522C2×D4×C37—21no—
523C2×D4×C37—21no—
524C2×D4×C37—21no—
525C2×D4×C37—21no—
526C2×D4×C37—21no—
527C2×D4×C37—21no—
528C2×D4×C37—21no—
529C2×D4×C37—21no—
530C2×D4×C37—21no—
531C2×D4×C37—21no—
532C2×D4×C37—21no—
533C2×D4×C37—21no—
534C2×D4×C37—21no—
535C2×D4×C37—21no—
536C2×D4×C37—41no—
537C2×D4×C37—41no—
538C2×D4×C37—41no—
539C2×D4×C37—41no—
540C2×D4×C37—41no—
541C2×D4×C37—41no—
542C2×D4×C37—41no—
543C2×D4×C37—41no—
544C2×D4×C37—41no—
545C2×D4×C37—41no—
546C2×D4×C37—82no—
547C2×D4×C37—82no—
548C2×D4×C37—82no—
549C2×D4×C37—82no—
550C2×D4×C37—82no—
551C2×D4×C37—82no—
552C2×D4×C37C2×D411yescharacteristic
553C2×D4×C37C2×D411yescharacteristic
554C2×D4×C37C2×D411yescharacteristic
555C2×D4×C37C2411yescharacteristic
556C2×D4×C37C2411yescharacteristic
557C2×D4×C37C2411yescharacteristic
558C2×D4×C37C2411yescharacteristic
559C2×D4×C37C2411yescharacteristic
560C2×D4×C37C2411yescharacteristic
561C2×D4×C37C2411yescharacteristic
562C2×D4×C37C2411yescharacteristic
563C22×C4×C37—21no—
564C22×C4×C37—21no—
565C22×C4×C37—21no—
566C22×C4×C37—21no—
567C22×C4×C37—21no—
568C22×C4×C37—21no—
569C22×C4×C37—21no—
570C22×C4×C37—21no—
571C22×C4×C37—21no—
572C22×C4×C37—21no—
573C22×C4×C37—21no—
574C22×C4×C37—21no—
575C22×C4×C37—21no—
576C22×C4×C37—21no—
577C22×C4×C37—21no—
578C22×C4×C37—21no—
579C22×C4×C37—21no—
580C22×C4×C37—21no—
581C22×C4×C37—82no—
582C22×C4×C37C2×D411yescharacteristic
583C22×C4×C37C2×D411yescharacteristic
584C22×C4×C37C2411yescharacteristic
585C22×C4×C37C2411yescharacteristic
586C22×C4×C37C2411yescharacteristic
587Q16×C37—41no—
588SD16×C37—22no—
589SD16×C37—41no—
590SD16×C37—41no—
591SD16×C37—41no—
592SD16×C37—41no—
593SD16×C37—41no—
594SD16×C37—41no—
595SD16×C37—41no—
596D8×C37—22no—
597D8×C37—22no—
598D8×C37—22no—
599D8×C37—22no—
600D8×C37—22no—
601D8×C37—41no—
602D8×C37—41no—
603D8×C37—41no—
604D8×C37—41no—
605D8×C37—41no—
606D8×C37—41no—
607D8×C37—41no—
608D8×C37—41no—
609D8×C37—41no—
610D8×C37—41no—
611M16×C37—41no—
612M16×C37—41no—
613C2×C8×C37—41no—
614C2×C8×C37—41no—
615C2×C8×C37—41no—
616C2×C8×C37—41no—
617C2×C8×C37C2411yescharacteristic
618C2×C8×C37C2411yescharacteristic
619C2×C8×C37C2411yescharacteristic
620C2×C8×C37C2411yescharacteristic
621C2×C8×C37C2411yescharacteristic
622C2×C8×C37C2411yescharacteristic
623C2×C8×C37C2411yescharacteristic
624C2×C8×C37C2411yescharacteristic
625C4⋊C4×C37—21no—
626C4⋊C4×C37—21no—
627C4⋊C4×C37—21no—
628C4⋊C4×C37—21no—
629C4⋊C4×C37—21no—
630C4⋊C4×C37—21no—
631C4⋊C4×C37—21no—
632C4⋊C4×C37—21no—
633C4⋊C4×C37—21no—
634C4⋊C4×C37—21no—
635C4⋊C4×C37—21no—
636C4⋊C4×C37—21no—
637C4⋊C4×C37—21no—
638C4⋊C4×C37—21no—
639C4⋊C4×C37—21no—
640C4⋊C4×C37C2×D411yescharacteristic
641C4⋊C4×C37C2×D411yescharacteristic
642C4⋊C4×C37C2×D411yescharacteristic
643C4⋊C4×C37C2×D411yescharacteristic
644C4⋊C4×C37C2×D411yescharacteristic
645C4⋊C4×C37C2×D411yescharacteristic
646C4⋊C4×C37C2×D411yescharacteristic
647C4⋊C4×C37C2×D411yescharacteristic
648C4⋊C4×C37C2×D411yescharacteristic
649C4⋊C4×C37C2×D411yescharacteristic
650C4⋊C4×C37C2411yescharacteristic
651C4⋊C4×C37C2411yescharacteristic
652C4⋊C4×C37C2411yescharacteristic
653C4⋊C4×C37C2411yescharacteristic
654C4⋊C4×C37C2411yescharacteristic
655C4⋊C4×C37C2411yescharacteristic
656C22⋊C4×C37—21no—
657C22⋊C4×C37—21no—
658C22⋊C4×C37—21no—
659C22⋊C4×C37—21no—
660C22⋊C4×C37—21no—
661C22⋊C4×C37—21no—
662C22⋊C4×C37—21no—
663C22⋊C4×C37—21no—
664C22⋊C4×C37—21no—
665C22⋊C4×C37—21no—
666C22⋊C4×C37—21no—
667C22⋊C4×C37—21no—
668C22⋊C4×C37—21no—
669C22⋊C4×C37—21no—
670C22⋊C4×C37—21no—
671C22⋊C4×C37—21no—
672C22⋊C4×C37—21no—
673C22⋊C4×C37—21no—
674C22⋊C4×C37—21no—
675C22⋊C4×C37—21no—
676C22⋊C4×C37—21no—
677C22⋊C4×C37—21no—
678C22⋊C4×C37—21no—
679C22⋊C4×C37—21no—
680C22⋊C4×C37—21no—
681C22⋊C4×C37—21no—
682C22⋊C4×C37—21no—
683C22⋊C4×C37—21no—
684C22⋊C4×C37—21no—
685C22⋊C4×C37—21no—
686C22⋊C4×C37—21no—
687C22⋊C4×C37—21no—
688C22⋊C4×C37—21no—
689C22⋊C4×C37—21no—
690C22⋊C4×C37—21no—
691C22⋊C4×C37—21no—
692C22⋊C4×C37C2×D411yescharacteristic
693C22⋊C4×C37C2×D411yescharacteristic
694C22⋊C4×C37C2×D411yescharacteristic
695C22⋊C4×C37C2×D411yescharacteristic
696C22⋊C4×C37C2×D411yescharacteristic
697C22⋊C4×C37C2×D411yescharacteristic
698C22⋊C4×C37C2×D411yescharacteristic
699C22⋊C4×C37C2×D411yescharacteristic
700C22⋊C4×C37C2×D411yescharacteristic
701C22⋊C4×C37C2×D411yescharacteristic
702C42×C37—21no—
703C42×C37—21no—
704C42×C37—21no—
705C42×C37—21no—
706C42×C37C2×D411yescharacteristic
707C42×C37C2×D411yescharacteristic
708C42×C37C2411yescharacteristic
709C42×C37C2411yescharacteristic
710C42×C37C2411yescharacteristic
711C42×C37C2411yescharacteristic
712C23×C37—21no—
713C23×C37—21no—
714C23×C37—21no—
715C23×C37—21no—
716C23×C37—21no—
717C23×C37—21no—
718C23×C37—21no—
719C23×C37—21no—
720C23×C37—42no—
721C23×C37—42no—
722C23×C37—42no—
723C23×C37—42no—
724C23×C37—42no—
725C23×C37—81no—
726C23×C37—81no—
727C23×C37—81no—
728C23×C37—81no—
729C23×C37—81no—
730C23×C37—81no—
731C23×C37—81no—
732C23×C37—81no—
733C23×C37—81no—
734C23×C37—81no—
735C23×C37—81no—
736C23×C37—81no—
737C23×C37—81no—
738C23×C37C22×D411yescharacteristic
739C23×C37C22×D411yescharacteristic
740C23×C37C22×D411yescharacteristic
741Q8×C37—21no—
742Q8×C37—21no—
743Q8×C37—21no—
744Q8×C37—21no—
745Q8×C37—41no—
746Q8×C37—81no—
747D4×C37—22no—
748D4×C37—22no—
749D4×C37—21no—
750D4×C37—21no—
751D4×C37—21no—
752D4×C37—21no—
753D4×C37—21no—
754D4×C37—21no—
755D4×C37—21no—
756D4×C37—21no—
757D4×C37—21no—
758D4×C37—21no—
759D4×C37—21no—
760D4×C37—21no—
761D4×C37—21no—
762D4×C37—21no—
763D4×C37—21no—
764D4×C37—41no—
765D4×C37—42no—
766D4×C37—42no—
767D4×C37—42no—
768D4×C37—42no—
769D4×C37—42no—
770D4×C37—42no—
771D4×C37—42no—
772D4×C37—81no—
773D4×C37—81no—
774D4×C37—81no—
775D4×C37—81no—
776D4×C37—81no—
777D4×C37—81no—
778D4×C37—81no—
779D4×C37—81no—
780D4×C37—81no—
781D4×C37—81no—
782D4×C37—81no—
783D4×C37—81no—
784D4×C37—81no—
785D4×C37—81no—
786D4×C37—81no—
787D4×C37—81no—
788D4×C37—81no—
789D4×C37—81no—
790D4×C37—81no—
791D4×C37—81no—
792D4×C37—81no—
793D4×C37—81no—
794D4×C37—81no—
795D4×C37—81no—
796D4×C37—81no—
797D4×C37H(5,𝔽2)12yes—
798C2×C4×C37—22no—
799C2×C4×C37—21no—
800C2×C4×C37—21no—
801C2×C4×C37—21no—
802C2×C4×C37—21no—
803C2×C4×C37—21no—
804C2×C4×C37—21no—
805C2×C4×C37—21no—
806C2×C4×C37—21no—
807C2×C4×C37—21no—
808C2×C4×C37—21no—
809C2×C4×C37—21no—
810C2×C4×C37—21no—
811C2×C4×C37—21no—
812C2×C4×C37—21no—
813C2×C4×C37—41no—
814C2×C4×C37—42no—
815C2×C4×C37—42no—
816C2×C4×C37—42no—
817C2×C4×C37—81no—
818C2×C4×C37—81no—
819C2×C4×C37—81no—
820C2×C4×C37—81no—
821C2×C4×C37—81no—
822C2×C4×C37—81no—
823C2×C4×C37—81no—
824C2×C4×C37—81no—
825C2×C4×C37—81no—
826C2×C4×C37—81no—
827C2×C4×C37—81no—
828C2×C4×C37—81no—
829C2×C4×C37—81no—
830C2×C4×C37—81no—
831C2×C4×C37—81no—
832C2×C4×C37C22×D411yescharacteristic
833C2×C4×C37C22×D411yescharacteristic
834C2×C4×C37C22×D411yescharacteristic
835C2×C4×C37C22×D411yescharacteristic
836C2×C4×C37C22×D411yescharacteristic
837C2×C4×C37C22×D411yescharacteristic
838C2×C4×C37C22×D411yescharacteristic
839C2×C4×C37C22×D411yescharacteristic
840C2×C4×C37C22×D411yescharacteristic
841C2×C4×C37C22×D411yescharacteristic
842C2×C4×C37C22×D411yescharacteristic
843C2×C4×C37C2511yescharacteristic
844C8×C37—21no—
845C8×C37—21no—
846C8×C37—21no—
847C8×C37—21no—
848C8×C37—21no—
849C8×C37—21no—
850C8×C37—21no—
851C8×C37—21no—
852#62007C3711yesmaximal, characteristic, direct product factor, Sylow
853C22×C37—21no—
854C22×C37—21no—
855C22×C37—21no—
856C22×C37—21no—
857C22×C37—21no—
858C22×C37—21no—
859C22×C37—22no—
860C22×C37—21no—
861C22×C37—21no—
862C22×C37—41no—
863C22×C37—41no—
864C22×C37—41no—
865C22×C37—41no—
866C22×C37—41no—
867C22×C37—41no—
868C22×C37—41no—
869C22×C37—41no—
870C22×C37—41no—
871C22×C37—41no—
872C22×C37—41no—
873C22×C37—41no—
874C22×C37—41no—
875C22×C37—41no—
876C22×C37—41no—
877C22×C37—41no—
878C22×C37—41no—
879C22×C37—41no—
880C22×C37—41no—
881C22×C37—41no—
882C22×C37—41no—
883C22×C37—41no—
884C22×C37—41no—
885C22×C37—84no—
886C22×C37—162no—
887C22×C37—162no—
888C22×C37—162no—
889C22×C37—162no—
890C22×C37—162no—
891C22×C37#57612yes—
892C22×C37C23×D411yescharacteristic
893C4×C37—21no—
894C4×C37—21no—
895C4×C37—21no—
896C4×C37—21no—
897C4×C37—21no—
898C4×C37—21no—
899C4×C37—21no—
900C4×C37—21no—
901C4×C37—21no—
902C4×C37—21no—
903C4×C37—21no—
904C4×C37—41no—
905C4×C37—41no—
906C4×C37—41no—
907C4×C37—41no—
908C4×C37—41no—
909C4×C37—41no—
910C4×C37—41no—
911C4×C37—41no—
912C4×C37C2×H(5,𝔽2)11yescharacteristic
913C4×C37#58511yescharacteristic
914#3543C2×C3711yescharacteristic, complemented
915#3513C2×C3711yescharacteristic, complemented
916#3403C2×C3711yescharacteristic, complemented
917#3399C2×C3711yescharacteristic, complemented
918#3370C2×C3711yescharacteristic, complemented
919#3366C2×C3711yescharacteristic, complemented
920#3318C2×C3711yescharacteristic, complemented
921#3310C2×C3711yescharacteristic, complemented
922#3309C2×C3711yescharacteristic, complemented
923#3306C2×C3711yescharacteristic, complemented
924#3296C2×C3711yescharacteristic, complemented
925#3294C2×C3711yescharacteristic, complemented
926#3280C2×C3711yescharacteristic, complemented
927D4×D8C2×C3711yescharacteristic, complemented
928#3268C2×C3711yescharacteristic, complemented
929#3264C2×C3711yescharacteristic, complemented
930#3264C2×C3711yescharacteristic, complemented
931#3264C2×C3711yescharacteristic, complemented
932#3259C2×C3711yescharacteristic, complemented
933#3257C2×C3711yescharacteristic, complemented
934#3250C2×C3711yescharacteristic, complemented
935#3224C2×C3711yescharacteristic, complemented
936#3220C2×C3711yescharacteristic, complemented
937#3217C2×C3711yescharacteristic, complemented
938#3122C2×C3711yescharacteristic, complemented
939#3119C2×C3711yescharacteristic, complemented
940#3114C2×C3711yescharacteristic, complemented
941#3045C2×C3711yescharacteristic, complemented
942#3041C2×C3711yescharacteristic, complemented
943C2×#459C2×C3711yescharacteristic, complemented
944#2992C2×C3711yescharacteristic, complemented
945C2×C37—22no—
946C2×C37—41no—
947C2×C37—41no—
948C2×C37—42no—
949C2×C37—81no—
950C2×C37—81no—
951C2×C37—81no—
952C2×C37—81no—
953C2×C37—81no—
954C2×C37—81no—
955C2×C37—81no—
956C2×C37#348811yescharacteristic
957C2×C37C2×#57611yescharacteristic
958C2×C37#358511yescharacteristic
959C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
960C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
961C2×#135C22×C3711yescharacteristic, complemented
962C22×D8C22×C3711yescharacteristic, complemented
963C22×D8C22×C3711yescharacteristic, complemented
964C22×D8C22×C3711yescharacteristic, complemented
965#560—21no—
966#560—21no—
967#559C22×C3711yescharacteristic, complemented
968#559C22×C3711yescharacteristic, complemented
969#554C22×C3711yescharacteristic, complemented
970#553—21no—
971#553C22×C3711yescharacteristic, complemented
972#552C22×C3711yescharacteristic, complemented
973#551—21no—
974#551—21no—
975#550C22×C3711yescharacteristic, complemented
976#550C22×C3711yescharacteristic, complemented
977#547C22×C3711yescharacteristic, complemented
978#546—21no—
979#546—21no—
980#546C22×C3711yescharacteristic
981#546C22×C3711yescharacteristic, complemented
982#546C22×C3711yescharacteristic, complemented
983#546C22×C3711yescharacteristic, complemented
984D42—21no—
985D42C22×C3711yescharacteristic
986D42C22×C3711yescharacteristic, complemented
987D42C22×C3711yescharacteristic, complemented
988D42C22×C3711yescharacteristic, complemented
989#542C22×C3711yescharacteristic, complemented
990#540—21no—
991#540C22×C3711yescharacteristic, complemented
992#540C22×C3711yescharacteristic, complemented
993#540C22×C3711yescharacteristic, complemented
994#539—21no—
995#538—21no—
996#535—21no—
997#535C22×C3711yescharacteristic, complemented
998#535C22×C3711yescharacteristic, complemented
999#534—21no—
1000#534—21no—
1001C2×#127C22×C3711yescharacteristic, complemented
1002#529C22×C3711yescharacteristic
1003#529C22×C3711yescharacteristic, complemented
1004#529C22×C3711yescharacteristic, complemented
1005#525—21no—
1006C2×#123—21no—
1007#520C22×C3711yescharacteristic, complemented
1008#518C22×C3711yescharacteristic, complemented
1009C2×C4×D4C22×C3711yescharacteristic, complemented
1010#496C22×C3711yescharacteristic, complemented
1011#496C22×C3711yescharacteristic, complemented
1012#496C22×C3711yescharacteristic, complemented
1013#496C22×C3711yescharacteristic, complemented
1014#495C22×C3711yescharacteristic, complemented
1015#493C22×C3711yescharacteristic, complemented
1016#490C22×C3711yescharacteristic, complemented
1017#490C22×C3711yescharacteristic, complemented
1018#490C22×C3711yescharacteristic, complemented
1019#489C22×C3711yescharacteristic, complemented
1020#488C22×C3711yescharacteristic, complemented
1021#486C22×C3711yescharacteristic, complemented
1022#483C22×C3711yescharacteristic, complemented
1023#482C22×C3711yescharacteristic, complemented
1024#482C22×C3711yescharacteristic, complemented
1025#481C22×C3711yescharacteristic, complemented
1026#480C22×C3711yescharacteristic, complemented
1027#480C22×C3711yescharacteristic, complemented
1028#479C22×C3711yescharacteristic, complemented
1029#479C22×C3711yescharacteristic, complemented
1030#478C22×C3711yescharacteristic, complemented
1031#478C22×C3711yescharacteristic, complemented
1032#478C22×C3711yescharacteristic, complemented
1033#478C22×C3711yescharacteristic, complemented
1034#478C22×C3711yescharacteristic, complemented
1035#478C22×C3711yescharacteristic, complemented
1036#476C22×C3711yescharacteristic, complemented
1037#474C22×C3711yescharacteristic, complemented
1038#469C22×C3711yescharacteristic, complemented
1039#469C22×C3711yescharacteristic, complemented
1040#469C22×C3711yescharacteristic, complemented
1041#468C22×C3711yescharacteristic, complemented
1042#467C22×C3711yescharacteristic, complemented
1043#466C22×C3711yescharacteristic
1044#466C22×C3711yescharacteristic, complemented
1045#466C22×C3711yescharacteristic, complemented
1046#466C22×C3711yescharacteristic, complemented
1047#465C22×C3711yescharacteristic, complemented
1048#465C22×C3711yescharacteristic, complemented
1049#465C22×C3711yescharacteristic, complemented
1050#464C22×C3711yescharacteristic, complemented
1051#464C22×C3711yescharacteristic, complemented
1052#464C22×C3711yescharacteristic, complemented
1053#463C22×C3711yescharacteristic, complemented
1054#463C22×C3711yescharacteristic, complemented
1055#463C22×C3711yescharacteristic, complemented
1056#463C22×C3711yescharacteristic, complemented
1057#463C22×C3711yescharacteristic, complemented
1058#463C22×C3711yescharacteristic, complemented
1059#463C22×C3711yescharacteristic, complemented
1060#463C22×C3711yescharacteristic, complemented
1061#463C22×C3711yescharacteristic, complemented
1062#460C22×C3711yescharacteristic, complemented
1063#460C22×C3711yescharacteristic, complemented
1064#460C22×C3711yescharacteristic, complemented
1065#459C22×C3711yescharacteristic
1066#459C22×C3711yescharacteristic, complemented
1067#459C22×C3711yescharacteristic, complemented
1068#459C22×C3711yescharacteristic, complemented
1069#459C22×C3711yescharacteristic, complemented
1070#459C22×C3711yescharacteristic, complemented
1071#459C22×C3711yescharacteristic, complemented
1072#459C22×C3711yescharacteristic, complemented
1073#459C22×C3711yescharacteristic, complemented
1074#459C22×C3711yescharacteristic, complemented
1075#459C22×C3711yescharacteristic, complemented
1076#459C22×C3711yescharacteristic, complemented
1077#459C22×C3711yescharacteristic, complemented
1078#459C22×C3711yescharacteristic, complemented
1079#459C22×C3711yescharacteristic, complemented
1080#452C22×C3711yescharacteristic, complemented
1081#450C22×C3711yescharacteristic, complemented
1082#450C22×C3711yescharacteristic, complemented
1083#450C22×C3711yescharacteristic, complemented
1084#450C22×C3711yescharacteristic, complemented
1085#449C22×C3711yescharacteristic, complemented
1086#449C22×C3711yescharacteristic, complemented
1087#449C22×C3711yescharacteristic, complemented
1088#449C22×C3711yescharacteristic, complemented
1089#449C22×C3711yescharacteristic, complemented
1090#447C22×C3711yescharacteristic
1091#447C22×C3711yescharacteristic, complemented
1092#447C22×C3711yescharacteristic, complemented
1093#447C22×C3711yescharacteristic, complemented
1094#447C22×C3711yescharacteristic, complemented
1095#447C22×C3711yescharacteristic, complemented
1096#447C22×C3711yescharacteristic, complemented
1097#447C22×C3711yescharacteristic, complemented
1098#446C22×C3711yescharacteristic, complemented
1099#446C22×C3711yescharacteristic, complemented
1100#442C22×C3711yescharacteristic, complemented
1101#442C22×C3711yescharacteristic, complemented
1102#442C22×C3711yescharacteristic, complemented
1103#442C22×C3711yescharacteristic, complemented
1104#442C22×C3711yescharacteristic, complemented
1105#440C22×C3711yescharacteristic, complemented
1106#440C22×C3711yescharacteristic, complemented
1107#440C22×C3711yescharacteristic, complemented
1108C4×SD16C22×C3711yescharacteristic, complemented
1109C4×D8C22×C3711yescharacteristic, complemented
1110C4×D8C22×C3711yescharacteristic, complemented
1111C4×D8C22×C3711yescharacteristic, complemented
1112#435C22×C3711yescharacteristic, complemented
1113#435C22×C3711yescharacteristic, complemented
1114#435C22×C3711yescharacteristic, complemented
1115#435C22×C3711yescharacteristic, complemented
1116C8×D4C22×C3711yescharacteristic, complemented
1117C8×D4C22×C3711yescharacteristic, complemented
1118#433C22×C3711yescharacteristic, complemented
1119#433C22×C3711yescharacteristic, complemented
1120#432C22×C3711yescharacteristic, complemented
1121#424C22×C3711yescharacteristic, complemented
1122#424C22×C3711yescharacteristic, complemented
1123C2×C4⋊C8C22×C3711yescharacteristic, complemented
1124#418C22×C3711yescharacteristic, complemented
1125#417C22×C3711yescharacteristic, complemented
1126#416C22×C3711yescharacteristic, complemented
1127C2×#102C22×C3711yescharacteristic, complemented
1128C2×#102C22×C3711yescharacteristic, complemented
1129C2×#102C22×C3711yescharacteristic, complemented
1130C37#6200711yescharacteristic, direct product factor, Sylow
1131C2×#41—21no—
1132C2×#41—21no—
1133C2×#41C23×C3711yescharacteristic
1134C2×#41C23×C3711yescharacteristic
1135C2×#41C23×C3711yescharacteristic
1136C22×D4—21no—
1137C22×D4—21no—
1138C22×D4—21no—
1139C22×D4—21no—
1140C22×D4—21no—
1141C22×D4—21no—
1142C22×D4C23×C3711yescharacteristic
1143C22×D4C23×C3711yescharacteristic
1144C22×D4C23×C3711yescharacteristic
1145C22×D4C23×C3711yescharacteristic
1146C22×D4C23×C3711yescharacteristic
1147C22×D4C23×C3711yescharacteristic
1148C23×C4—21no—
1149AGL(1,ℤ/8)—42no—
1150AGL(1,ℤ/8)—42no—
1151#135—42no—
1152C2×Q16C23×C3711yescharacteristic
1153C2×SD16C23×C3711yescharacteristic
1154C2×SD16C23×C3711yescharacteristic
1155C2×SD16C23×C3711yescharacteristic
1156C2×SD16C23×C3711yescharacteristic
1157C2×SD16C23×C3711yescharacteristic
1158C2×SD16C23×C3711yescharacteristic
1159C2×SD16C23×C3711yescharacteristic
1160C2×SD16C23×C3711yescharacteristic
1161C2×D8—42no—
1162C2×D8—42no—
1163C2×D8—42no—
1164C2×D8C23×C3711yescharacteristic
1165C2×D8C23×C3711yescharacteristic
1166C2×D8C23×C3711yescharacteristic
1167C2×D8C23×C3711yescharacteristic
1168C2×D8C23×C3711yescharacteristic
1169C2×D8C23×C3711yescharacteristic
1170C2×D8C23×C3711yescharacteristic
1171C2×D8C23×C3711yescharacteristic
1172C2×D8C23×C3711yescharacteristic
1173C2×D8C23×C3711yescharacteristic
1174C2×D8C23×C3711yescharacteristic
1175C2×D8C23×C3711yescharacteristic
1176C2×D8C23×C3711yescharacteristic
1177C2×D8C23×C3711yescharacteristic
1178C2×D8C23×C3711yescharacteristic
1179C2×M16C23×C3711yescharacteristic
1180C2×M16C23×C3711yescharacteristic
1181C22×C8C23×C3711yescharacteristic
1182C22×C8C23×C3711yescharacteristic
1183C22×C8C23×C3711yescharacteristic
1184C22×C8C23×C3711yescharacteristic
1185C4⋊Q8C23×C3711yescharacteristic
1186#127—21no—
1187#127—21no—
1188#127—21no—
1189#127C23×C3711yescharacteristic
1190#127C23×C3711yescharacteristic
1191#127C23×C3711yescharacteristic
1192#127C23×C3711yescharacteristic
1193#127C23×C3711yescharacteristic
1194#127C23×C3711yescharacteristic
1195#127C23×C3711yescharacteristic
1196#126—21no—
1197#126—21no—
1198#126—21no—
1199#126—21no—
1200#126—21no—
1201#126D4×C3711yescharacteristic
1202#126D4×C3711yescharacteristic
1203#125—21no—
1204#125D4×C3711yescharacteristic
1205#125C23×C3711yescharacteristic
1206#125C23×C3711yescharacteristic
1207#125C23×C3711yescharacteristic
1208#124—21no—
1209#124—21no—
1210#124—21no—
1211#124D4×C3711yescharacteristic
1212#124C23×C3711yescharacteristic
1213#124C23×C3711yescharacteristic
1214#124C23×C3711yescharacteristic
1215#124C23×C3711yescharacteristic
1216#124C23×C3711yescharacteristic
1217#123—21no—
1218#123—21no—
1219#123—21no—
1220#123—21no—
1221#123—21no—
1222#123—21no—
1223#123—21no—
1224#123—21no—
1225#123—21no—
1226#123—21no—
1227#123—21no—
1228#123—21no—
1229#123—21no—
1230#123—21no—
1231#123—21no—
1232#123—21no—
1233#123—21no—
1234#123—21no—
1235#123—21no—
1236#123—21no—
1237#123—21no—
1238#123D4×C3711yescharacteristic
1239#123D4×C3711yescharacteristic
1240C22⋊Q8—21no—
1241C22⋊Q8—21no—
1242C22⋊Q8—21no—
1243C22⋊Q8—21no—
1244C22⋊Q8—21no—
1245C22⋊Q8D4×C3711yescharacteristic
1246C22⋊Q8C23×C3711yescharacteristic
1247C22⋊Q8C23×C3711yescharacteristic
1248C22⋊Q8C23×C3711yescharacteristic
1249#121—21no—
1250#121—21no—
1251#121—21no—
1252#121—21no—
1253#121—21no—
1254#121—21no—
1255#121—21no—
1256#121—21no—
1257#121—21no—
1258#121—21no—
1259#121—21no—
1260#121—21no—
1261#121—21no—
1262#121—21no—
1263#121—21no—
1264#121—21no—
1265#121—21no—
1266#121—21no—
1267#121—21no—
1268#121—21no—
1269#121—21no—
1270#121—21no—
1271#121—21no—
1272#121—21no—
1273#121D4×C3711yescharacteristic
1274#121C23×C3711yescharacteristic
1275#121C23×C3711yescharacteristic
1276#121C23×C3711yescharacteristic
1277#121C23×C3711yescharacteristic
1278#121C23×C3711yescharacteristic
1279#121C23×C3711yescharacteristic
1280#121C23×C3711yescharacteristic
1281#121C23×C3711yescharacteristic
1282#121C23×C3711yescharacteristic
1283#120—21no—
1284#120—21no—
1285#120—21no—
1286#120—21no—
1287#120—21no—
1288#120—21no—
1289#120—21no—
1290#120—21no—
1291#120—21no—
1292#120—21no—
1293#120—21no—
1294#120—21no—
1295#120—21no—
1296#120—21no—
1297#120—21no—
1298#120—21no—
1299C4×Q8C23×C3711yescharacteristic
1300C4×Q8C23×C3711yescharacteristic
1301C4×Q8C23×C3711yescharacteristic
1302C4×Q8C23×C3711yescharacteristic
1303C4×D4—21no—
1304C4×D4—21no—
1305C4×D4—21no—
1306C4×D4—21no—
1307C4×D4—21no—
1308C4×D4—21no—
1309C4×D4—21no—
1310C4×D4—21no—
1311C4×D4—21no—
1312C4×D4—21no—
1313C4×D4—21no—
1314C4×D4—21no—
1315C4×D4C23×C3711yescharacteristic
1316C4×D4C23×C3711yescharacteristic
1317C4×D4C23×C3711yescharacteristic
1318C4×D4C23×C3711yescharacteristic
1319C4×D4C23×C3711yescharacteristic
1320C4×D4C23×C3711yescharacteristic
1321C4×D4C23×C3711yescharacteristic
1322C4×D4C23×C3711yescharacteristic
1323C4×D4C23×C3711yescharacteristic
1324C4×D4C23×C3711yescharacteristic
1325C4×D4C23×C3711yescharacteristic
1326C4×D4C23×C3711yescharacteristic
1327C4×D4C23×C3711yescharacteristic
1328C4×D4C23×C3711yescharacteristic
1329C4×D4C23×C3711yescharacteristic
1330C4×D4C23×C3711yescharacteristic
1331#117—21no—
1332#117—21no—
1333#117—21no—
1334#117—21no—
1335#117C23×C3711yescharacteristic
1336#117C23×C3711yescharacteristic
1337#117C23×C3711yescharacteristic
1338C2×C4⋊C4—21no—
1339C2×C4⋊C4—21no—
1340C2×C4⋊C4C23×C3711yescharacteristic
1341C2×C4⋊C4C23×C3711yescharacteristic
1342C2×C22⋊C4—21no—
1343C2×C22⋊C4—21no—
1344C2×C22⋊C4—21no—
1345C2×C22⋊C4—21no—
1346C2×C22⋊C4—21no—
1347C2×C22⋊C4—21no—
1348C2×C22⋊C4—21no—
1349C2×C42C23×C3711yescharacteristic
1350#107C23×C3711yescharacteristic
1351#107C23×C3711yescharacteristic
1352#107C23×C3711yescharacteristic
1353#107C23×C3711yescharacteristic
1354#106C23×C3711yescharacteristic
1355#106C23×C3711yescharacteristic
1356#106C23×C3711yescharacteristic
1357#106C23×C3711yescharacteristic
1358C4⋊C8C23×C3711yescharacteristic
1359C4⋊C8C23×C3711yescharacteristic
1360C4⋊C8C23×C3711yescharacteristic
1361C4⋊C8C23×C3711yescharacteristic
1362C4⋊C8C23×C3711yescharacteristic
1363C4⋊C8C23×C3711yescharacteristic
1364C4⋊C8C23×C3711yescharacteristic
1365C4⋊C8C23×C3711yescharacteristic
1366C4⋊C8C23×C3711yescharacteristic
1367C4⋊C8C23×C3711yescharacteristic
1368#103C23×C3711yescharacteristic
1369#103C23×C3711yescharacteristic
1370#103C23×C3711yescharacteristic
1371#103C23×C3711yescharacteristic
1372#103C23×C3711yescharacteristic
1373#103C23×C3711yescharacteristic
1374#102C23×C3711yescharacteristic
1375#102C23×C3711yescharacteristic
1376#102C23×C3711yescharacteristic
1377#102C23×C3711yescharacteristic
1378#102C23×C3711yescharacteristic
1379#102C23×C3711yescharacteristic
1380#102C23×C3711yescharacteristic
1381#102C23×C3711yescharacteristic
1382#102C23×C3711yescharacteristic
1383#102C23×C3711yescharacteristic
1384#102C23×C3711yescharacteristic
1385#102C23×C3711yescharacteristic
1386#102C23×C3711yescharacteristic
1387#102C23×C3711yescharacteristic
1388#102C23×C3711yescharacteristic
1389#102C23×C3711yescharacteristic
1390#102C23×C3711yescharacteristic
1391#102C23×C3711yescharacteristic
1392#102C23×C3711yescharacteristic
1393#102C23×C3711yescharacteristic
1394#102C23×C3711yescharacteristic
1395#102C23×C3711yescharacteristic
1396#102C23×C3711yescharacteristic
1397#102C23×C3711yescharacteristic
1398#102C23×C3711yescharacteristic
1399#102C23×C3711yescharacteristic
1400C22⋊C8C23×C3711yescharacteristic
1401C22⋊C8C23×C3711yescharacteristic
1402C22⋊C8C23×C3711yescharacteristic
1403C22⋊C8C23×C3711yescharacteristic
1404C22⋊C8C23×C3711yescharacteristic
1405C22⋊C8C23×C3711yescharacteristic
1406#97C23×C3711yescharacteristic
1407#97C23×C3711yescharacteristic
1408#97C23×C3711yescharacteristic
1409#97C23×C3711yescharacteristic
1410C4×C8C23×C3711yescharacteristic
1411C4×C8C23×C3711yescharacteristic
1412C24—21no—
1413C24—21no—
1414C24—21no—
1415C24—21no—
1416C24—21no—
1417C24—21no—
1418#41—22no—
1419#41—41no—
1420#41—41no—
1421#41—41no—
1422#41—41no—
1423#41—41no—
1424#41—82no—
1425#41—82no—
1426C2×Q8—21no—
1427C2×Q8C2×D4×C3711yescharacteristic
1428C2×Q8C24×C3711yescharacteristic
1429C2×Q8C24×C3711yescharacteristic
1430C2×D4—22no—
1431C2×D4—22no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—21no—
1442C2×D4—21no—
1443C2×D4—21no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—41no—
1465C2×D4—41no—
1466C2×D4—41no—
1467C2×D4—41no—
1468C2×D4—41no—
1469C2×D4—41no—
1470C2×D4—41no—
1471C2×D4—41no—
1472C2×D4—41no—
1473C2×D4—41no—
1474C2×D4—82no—
1475C2×D4—82no—
1476C2×D4—82no—
1477C2×D4—82no—
1478C2×D4—82no—
1479C2×D4—82no—
1480C2×D4C2×D4×C3711yescharacteristic
1481C2×D4C2×D4×C3711yescharacteristic
1482C2×D4C2×D4×C3711yescharacteristic
1483C2×D4C24×C3711yescharacteristic
1484C2×D4C24×C3711yescharacteristic
1485C2×D4C24×C3711yescharacteristic
1486C2×D4C24×C3711yescharacteristic
1487C2×D4C24×C3711yescharacteristic
1488C2×D4C24×C3711yescharacteristic
1489C2×D4C24×C3711yescharacteristic
1490C2×D4C24×C3711yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—21no—
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—82no—
1510C22×C4C2×D4×C3711yescharacteristic
1511C22×C4C2×D4×C3711yescharacteristic
1512C22×C4C24×C3711yescharacteristic
1513C22×C4C24×C3711yescharacteristic
1514C22×C4C24×C3711yescharacteristic
1515Q16—41no—
1516SD16—22no—
1517SD16—41no—
1518SD16—41no—
1519SD16—41no—
1520SD16—41no—
1521SD16—41no—
1522SD16—41no—
1523SD16—41no—
1524D8—22no—
1525D8—22no—
1526D8—22no—
1527D8—22no—
1528D8—22no—
1529D8—41no—
1530D8—41no—
1531D8—41no—
1532D8—41no—
1533D8—41no—
1534D8—41no—
1535D8—41no—
1536D8—41no—
1537D8—41no—
1538D8—41no—
1539M16—41no—
1540M16—41no—
1541C2×C8—41no—
1542C2×C8—41no—
1543C2×C8—41no—
1544C2×C8—41no—
1545C2×C8C24×C3711yescharacteristic
1546C2×C8C24×C3711yescharacteristic
1547C2×C8C24×C3711yescharacteristic
1548C2×C8C24×C3711yescharacteristic
1549C2×C8C24×C3711yescharacteristic
1550C2×C8C24×C3711yescharacteristic
1551C2×C8C24×C3711yescharacteristic
1552C2×C8C24×C3711yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—21no—
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4C2×D4×C3711yescharacteristic
1569C4⋊C4C2×D4×C3711yescharacteristic
1570C4⋊C4C2×D4×C3711yescharacteristic
1571C4⋊C4C2×D4×C3711yescharacteristic
1572C4⋊C4C2×D4×C3711yescharacteristic
1573C4⋊C4C2×D4×C3711yescharacteristic
1574C4⋊C4C2×D4×C3711yescharacteristic
1575C4⋊C4C2×D4×C3711yescharacteristic
1576C4⋊C4C2×D4×C3711yescharacteristic
1577C4⋊C4C2×D4×C3711yescharacteristic
1578C4⋊C4C24×C3711yescharacteristic
1579C4⋊C4C24×C3711yescharacteristic
1580C4⋊C4C24×C3711yescharacteristic
1581C4⋊C4C24×C3711yescharacteristic
1582C4⋊C4C24×C3711yescharacteristic
1583C4⋊C4C24×C3711yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4C2×D4×C3711yescharacteristic
1621C22⋊C4C2×D4×C3711yescharacteristic
1622C22⋊C4C2×D4×C3711yescharacteristic
1623C22⋊C4C2×D4×C3711yescharacteristic
1624C22⋊C4C2×D4×C3711yescharacteristic
1625C22⋊C4C2×D4×C3711yescharacteristic
1626C22⋊C4C2×D4×C3711yescharacteristic
1627C22⋊C4C2×D4×C3711yescharacteristic
1628C22⋊C4C2×D4×C3711yescharacteristic
1629C22⋊C4C2×D4×C3711yescharacteristic
1630C42—21no—
1631C42—21no—
1632C42—21no—
1633C42—21no—
1634C42C2×D4×C3711yescharacteristic
1635C42C2×D4×C3711yescharacteristic
1636C42C24×C3711yescharacteristic
1637C42C24×C3711yescharacteristic
1638C42C24×C3711yescharacteristic
1639C42C24×C3711yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—42no—
1649C23—42no—
1650C23—42no—
1651C23—42no—
1652C23—42no—
1653C23—81no—
1654C23—81no—
1655C23—81no—
1656C23—81no—
1657C23—81no—
1658C23—81no—
1659C23—81no—
1660C23—81no—
1661C23—81no—
1662C23—81no—
1663C23—81no—
1664C23—81no—
1665C23—81no—
1666C23C22×D4×C3711yescharacteristic
1667C23C22×D4×C3711yescharacteristic
1668C23C22×D4×C3711yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—21no—
1672Q8—21no—
1673Q8—41no—
1674Q8—81no—
1675D4—22no—
1676D4—22no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—21no—
1685D4—21no—
1686D4—21no—
1687D4—21no—
1688D4—21no—
1689D4—21no—
1690D4—21no—
1691D4—21no—
1692D4—41no—
1693D4—42no—
1694D4—42no—
1695D4—42no—
1696D4—42no—
1697D4—42no—
1698D4—42no—
1699D4—42no—
1700D4—81no—
1701D4—81no—
1702D4—81no—
1703D4—81no—
1704D4—81no—
1705D4—81no—
1706D4—81no—
1707D4—81no—
1708D4—81no—
1709D4—81no—
1710D4—81no—
1711D4—81no—
1712D4—81no—
1713D4—81no—
1714D4—81no—
1715D4—81no—
1716D4—81no—
1717D4—81no—
1718D4—81no—
1719D4—81no—
1720D4—81no—
1721D4—81no—
1722D4—81no—
1723D4—81no—
1724D4—81no—
1725D4H(5,𝔽2)×C3712yes—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—41no—
1742C2×C4—42no—
1743C2×C4—42no—
1744C2×C4—42no—
1745C2×C4—81no—
1746C2×C4—81no—
1747C2×C4—81no—
1748C2×C4—81no—
1749C2×C4—81no—
1750C2×C4—81no—
1751C2×C4—81no—
1752C2×C4—81no—
1753C2×C4—81no—
1754C2×C4—81no—
1755C2×C4—81no—
1756C2×C4—81no—
1757C2×C4—81no—
1758C2×C4—81no—
1759C2×C4—81no—
1760C2×C4C22×D4×C3711yescharacteristic
1761C2×C4C22×D4×C3711yescharacteristic
1762C2×C4C22×D4×C3711yescharacteristic
1763C2×C4C22×D4×C3711yescharacteristic
1764C2×C4C22×D4×C3711yescharacteristic
1765C2×C4C22×D4×C3711yescharacteristic
1766C2×C4C22×D4×C3711yescharacteristic
1767C2×C4C22×D4×C3711yescharacteristic
1768C2×C4C22×D4×C3711yescharacteristic
1769C2×C4C22×D4×C3711yescharacteristic
1770C2×C4C22×D4×C3711yescharacteristic
1771C2×C4C25×C3711yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—21no—
1777C8—21no—
1778C8—21no—
1779C8—21no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—22no—
1785C22—21no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—84no—
1813C22—162no—
1814C22—162no—
1815C22—162no—
1816C22—162no—
1817C22—162no—
1818C22C37×#57612yes—
1819C22C23×D4×C3711yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—21no—
1827C4—21no—
1828C4—21no—
1829C4—21no—
1830C4—21no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4C2×H(5,𝔽2)×C3711yescharacteristic
1840C4C37×#58511yescharacteristic
1841C2—22no—
1842C2—41no—
1843C2—41no—
1844C2—42no—
1845C2—81no—
1846C2—81no—
1847C2—81no—
1848C2—81no—
1849C2—81no—
1850C2—81no—
1851C2—81no—
1852C2C37×#348811yescharacteristic
1853C2C2×C37×#57611yescharacteristic
1854C2C37×#358511yescharacteristic
subgroupG/H
center, socleC22×C37C23×D4
commutator, Frattini, cosocleC2×C4C25×C37
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C37 ◁ C37×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3543C2semidirect
2. C37×#3513C2semidirect
3. C37×#3403C2semidirect
4. C37×#3399C2semidirect
5. C37×#3370C2semidirect
6. C37×#3366C2semidirect
7. C37×#3318C2semidirect
8. C37×#3310C2semidirect
9. C37×#3309C2semidirect
10. C37×#3306C2semidirect
11. C37×#3296C2semidirect
12. C37×#3294C2semidirect
13. C37×#3280C2semidirect
14. D4×D8×C37C2semidirect
15. C37×#3268C2semidirect
16. C37×#3264C2semidirect
17. C37×#3264C2semidirect
18. C37×#3264C2semidirect
19. C37×#3259C2semidirect
20. C37×#3257C2semidirect
21. C37×#3250C2semidirect
22. C37×#3224C2semidirect
23. C37×#3220C2semidirect
24. C37×#3217C2semidirect
25. C37×#3122C2semidirect
26. C37×#3119C2semidirect
27. C37×#3114C2semidirect
28. C37×#3045C2semidirect
29. C37×#3041C2semidirect
30. C2×C37×#459C2semidirect
31. C37×#2992C2semidirect
32. C2×AGL(1,ℤ/8)×C37C22semidirect
33. C2×AGL(1,ℤ/8)×C37C22semidirect
34. C2×#135×C37C22semidirect
35. C22×D8×C37C22semidirect
36. C22×D8×C37C22semidirect
37. C22×D8×C37C22semidirect
40. C37×#559C22semidirect
41. C37×#559C22semidirect
42. C37×#554C22semidirect
44. C37×#553C22semidirect
45. C37×#552C22semidirect
48. C37×#550C22semidirect
49. C37×#550C22semidirect
50. C37×#547C22semidirect
54. C37×#546C22semidirect
55. C37×#546C22semidirect
56. C37×#546C22semidirect
59. D42×C37C22semidirect
60. D42×C37C22semidirect
61. D42×C37C22semidirect
62. C37×#542C22semidirect
64. C37×#540C22semidirect
65. C37×#540C22semidirect
66. C37×#540C22semidirect
70. C37×#535C22semidirect
71. C37×#535C22semidirect
74. C2×#127×C37C22semidirect
76. C37×#529C22semidirect
77. C37×#529C22semidirect
80. C37×#520C22semidirect
81. C37×#518C22semidirect
82. C2×C4×D4×C37C22semidirect
83. C37×#496C22semidirect
84. C37×#496C22semidirect
85. C37×#496C22semidirect
86. C37×#496C22semidirect
87. C37×#495C22semidirect
88. C37×#493C22semidirect
89. C37×#490C22semidirect
90. C37×#490C22semidirect
91. C37×#490C22semidirect
92. C37×#489C22semidirect
93. C37×#488C22semidirect
94. C37×#486C22semidirect
95. C37×#483C22semidirect
96. C37×#482C22semidirect
97. C37×#482C22semidirect
98. C37×#481C22semidirect
99. C37×#480C22semidirect
100. C37×#480C22semidirect
101. C37×#479C22semidirect
102. C37×#479C22semidirect
103. C37×#478C22semidirect
104. C37×#478C22semidirect
105. C37×#478C22semidirect
106. C37×#478C22semidirect
107. C37×#478C22semidirect
108. C37×#478C22semidirect
109. C37×#476C22semidirect
110. C37×#474C22semidirect
111. C37×#469C22semidirect
112. C37×#469C22semidirect
113. C37×#469C22semidirect
114. C37×#468C22semidirect
115. C37×#467C22semidirect
117. C37×#466C22semidirect
118. C37×#466C22semidirect
119. C37×#466C22semidirect
120. C37×#465C22semidirect
121. C37×#465C22semidirect
122. C37×#465C22semidirect
123. C37×#464C22semidirect
124. C37×#464C22semidirect
125. C37×#464C22semidirect
126. C37×#463C22semidirect
127. C37×#463C22semidirect
128. C37×#463C22semidirect
129. C37×#463C22semidirect
130. C37×#463C22semidirect
131. C37×#463C22semidirect
132. C37×#463C22semidirect
133. C37×#463C22semidirect
134. C37×#463C22semidirect
135. C37×#460C22semidirect
136. C37×#460C22semidirect
137. C37×#460C22semidirect
139. C37×#459C22semidirect
140. C37×#459C22semidirect
141. C37×#459C22semidirect
142. C37×#459C22semidirect
143. C37×#459C22semidirect
144. C37×#459C22semidirect
145. C37×#459C22semidirect
146. C37×#459C22semidirect
147. C37×#459C22semidirect
148. C37×#459C22semidirect
149. C37×#459C22semidirect
150. C37×#459C22semidirect
151. C37×#459C22semidirect
152. C37×#459C22semidirect
153. C37×#452C22semidirect
154. C37×#450C22semidirect
155. C37×#450C22semidirect
156. C37×#450C22semidirect
157. C37×#450C22semidirect
158. C37×#449C22semidirect
159. C37×#449C22semidirect
160. C37×#449C22semidirect
161. C37×#449C22semidirect
162. C37×#449C22semidirect
164. C37×#447C22semidirect
165. C37×#447C22semidirect
166. C37×#447C22semidirect
167. C37×#447C22semidirect
168. C37×#447C22semidirect
169. C37×#447C22semidirect
170. C37×#447C22semidirect
171. C37×#446C22semidirect
172. C37×#446C22semidirect
173. C37×#442C22semidirect
174. C37×#442C22semidirect
175. C37×#442C22semidirect
176. C37×#442C22semidirect
177. C37×#442C22semidirect
178. C37×#440C22semidirect
179. C37×#440C22semidirect
180. C37×#440C22semidirect
181. C4×SD16×C37C22semidirect
182. C4×D8×C37C22semidirect
183. C4×D8×C37C22semidirect
184. C4×D8×C37C22semidirect
185. C37×#435C22semidirect
186. C37×#435C22semidirect
187. C37×#435C22semidirect
188. C37×#435C22semidirect
189. C8×D4×C37C22semidirect
190. C8×D4×C37C22semidirect
191. C37×#433C22semidirect
192. C37×#433C22semidirect
193. C37×#432C22semidirect
194. C37×#424C22semidirect
195. C37×#424C22semidirect
196. C2×C4⋊C8×C37C22semidirect
197. C37×#418C22semidirect
198. C37×#417C22semidirect
199. C37×#416C22semidirect
200. C2×#102×C37C22semidirect
201. C2×#102×C37C22semidirect
202. C2×#102×C37C22semidirect
852. #62007C37direct (N × H)
914. #3543C2×C37semidirect
915. #3513C2×C37semidirect
916. #3403C2×C37semidirect
917. #3399C2×C37semidirect
918. #3370C2×C37semidirect
919. #3366C2×C37semidirect
920. #3318C2×C37semidirect
921. #3310C2×C37semidirect
922. #3309C2×C37semidirect
923. #3306C2×C37semidirect
924. #3296C2×C37semidirect
925. #3294C2×C37semidirect
926. #3280C2×C37semidirect
927. D4×D8C2×C37semidirect
928. #3268C2×C37semidirect
929. #3264C2×C37semidirect
930. #3264C2×C37semidirect
931. #3264C2×C37semidirect
932. #3259C2×C37semidirect
933. #3257C2×C37semidirect
934. #3250C2×C37semidirect
935. #3224C2×C37semidirect
936. #3220C2×C37semidirect
937. #3217C2×C37semidirect
938. #3122C2×C37semidirect
939. #3119C2×C37semidirect
940. #3114C2×C37semidirect
941. #3045C2×C37semidirect
942. #3041C2×C37semidirect
943. C2×#459C2×C37semidirect
944. #2992C2×C37semidirect
959. C2×AGL(1,ℤ/8)C22×C37semidirect
960. C2×AGL(1,ℤ/8)C22×C37semidirect
961. C2×#135C22×C37semidirect
962. C22×D8C22×C37semidirect
963. C22×D8C22×C37semidirect
964. C22×D8C22×C37semidirect
967. #559C22×C37semidirect
968. #559C22×C37semidirect
969. #554C22×C37semidirect
971. #553C22×C37semidirect
972. #552C22×C37semidirect
975. #550C22×C37semidirect
976. #550C22×C37semidirect
977. #547C22×C37semidirect
981. #546C22×C37semidirect
982. #546C22×C37semidirect
983. #546C22×C37semidirect
986. D42C22×C37semidirect
987. D42C22×C37semidirect
988. D42C22×C37semidirect
989. #542C22×C37semidirect
991. #540C22×C37semidirect
992. #540C22×C37semidirect
993. #540C22×C37semidirect
997. #535C22×C37semidirect
998. #535C22×C37semidirect
1001. C2×#127C22×C37semidirect
1003. #529C22×C37semidirect
1004. #529C22×C37semidirect
1007. #520C22×C37semidirect
1008. #518C22×C37semidirect
1009. C2×C4×D4C22×C37semidirect
1010. #496C22×C37semidirect
1011. #496C22×C37semidirect
1012. #496C22×C37semidirect
1013. #496C22×C37semidirect
1014. #495C22×C37semidirect
1015. #493C22×C37semidirect
1016. #490C22×C37semidirect
1017. #490C22×C37semidirect
1018. #490C22×C37semidirect
1019. #489C22×C37semidirect
1020. #488C22×C37semidirect
1021. #486C22×C37semidirect
1022. #483C22×C37semidirect
1023. #482C22×C37semidirect
1024. #482C22×C37semidirect
1025. #481C22×C37semidirect
1026. #480C22×C37semidirect
1027. #480C22×C37semidirect
1028. #479C22×C37semidirect
1029. #479C22×C37semidirect
1030. #478C22×C37semidirect
1031. #478C22×C37semidirect
1032. #478C22×C37semidirect
1033. #478C22×C37semidirect
1034. #478C22×C37semidirect
1035. #478C22×C37semidirect
1036. #476C22×C37semidirect
1037. #474C22×C37semidirect
1038. #469C22×C37semidirect
1039. #469C22×C37semidirect
1040. #469C22×C37semidirect
1041. #468C22×C37semidirect
1042. #467C22×C37semidirect
1044. #466C22×C37semidirect
1045. #466C22×C37semidirect
1046. #466C22×C37semidirect
1047. #465C22×C37semidirect
1048. #465C22×C37semidirect
1049. #465C22×C37semidirect
1050. #464C22×C37semidirect
1051. #464C22×C37semidirect
1052. #464C22×C37semidirect
1053. #463C22×C37semidirect
1054. #463C22×C37semidirect
1055. #463C22×C37semidirect
1056. #463C22×C37semidirect
1057. #463C22×C37semidirect
1058. #463C22×C37semidirect
1059. #463C22×C37semidirect
1060. #463C22×C37semidirect
1061. #463C22×C37semidirect
1062. #460C22×C37semidirect
1063. #460C22×C37semidirect
1064. #460C22×C37semidirect
1066. #459C22×C37semidirect
1067. #459C22×C37semidirect
1068. #459C22×C37semidirect
1069. #459C22×C37semidirect
1070. #459C22×C37semidirect
1071. #459C22×C37semidirect
1072. #459C22×C37semidirect
1073. #459C22×C37semidirect
1074. #459C22×C37semidirect
1075. #459C22×C37semidirect
1076. #459C22×C37semidirect
1077. #459C22×C37semidirect
1078. #459C22×C37semidirect
1079. #459C22×C37semidirect
1080. #452C22×C37semidirect
1081. #450C22×C37semidirect
1082. #450C22×C37semidirect
1083. #450C22×C37semidirect
1084. #450C22×C37semidirect
1085. #449C22×C37semidirect
1086. #449C22×C37semidirect
1087. #449C22×C37semidirect
1088. #449C22×C37semidirect
1089. #449C22×C37semidirect
1091. #447C22×C37semidirect
1092. #447C22×C37semidirect
1093. #447C22×C37semidirect
1094. #447C22×C37semidirect
1095. #447C22×C37semidirect
1096. #447C22×C37semidirect
1097. #447C22×C37semidirect
1098. #446C22×C37semidirect
1099. #446C22×C37semidirect
1100. #442C22×C37semidirect
1101. #442C22×C37semidirect
1102. #442C22×C37semidirect
1103. #442C22×C37semidirect
1104. #442C22×C37semidirect
1105. #440C22×C37semidirect
1106. #440C22×C37semidirect
1107. #440C22×C37semidirect
1108. C4×SD16C22×C37semidirect
1109. C4×D8C22×C37semidirect
1110. C4×D8C22×C37semidirect
1111. C4×D8C22×C37semidirect
1112. #435C22×C37semidirect
1113. #435C22×C37semidirect
1114. #435C22×C37semidirect
1115. #435C22×C37semidirect
1116. C8×D4C22×C37semidirect
1117. C8×D4C22×C37semidirect
1118. #433C22×C37semidirect
1119. #433C22×C37semidirect
1120. #432C22×C37semidirect
1121. #424C22×C37semidirect
1122. #424C22×C37semidirect
1123. C2×C4⋊C8C22×C37semidirect
1124. #418C22×C37semidirect
1125. #417C22×C37semidirect
1126. #416C22×C37semidirect
1127. C2×#102C22×C37semidirect
1128. C2×#102C22×C37semidirect
1129. C2×#102C22×C37semidirect
1130. C37#62007direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35432
C37×#35132
C37×#34032
C37×#33992
C37×#33702
C37×#33662
C37×#33182
C37×#33102
C37×#33092
C37×#33062
C37×#32962
C37×#32942
C37×#32802
D4×D8×C372
C37×#32682
C37×#32642
C37×#32592
C37×#32572
C37×#32502
C37×#32242
C37×#32202
C37×#32172
C37×#31222
C37×#31192
C37×#31142
C37×#30452
C37×#30412
C2×C37×#4592
C37×#29922
#6200737