Finite Group Databasebeta

← C37×#61510 #22682763

Subgroups — C37×#61510 #22682763

Order 9472.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3521C211yesmaximal, characteristic, complemented
2C37×#3520C211yesmaximal, characteristic, complemented
3C37×#3402C211yesmaximal, characteristic, complemented
4C37×#3384C211yesmaximal, characteristic, complemented
5C37×#3376C211yesmaximal, characteristic, complemented
6C37×#3367C211yesmaximal, characteristic, complemented
7C37×#3356C211yesmaximal, characteristic, complemented
8C37×#3346C211yesmaximal, characteristic, complemented
9C37×#3343C211yesmaximal, characteristic, complemented
10C37×#3331C211yesmaximal, characteristic, complemented
11C37×#3322C211yesmaximal, characteristic, complemented
12C37×#3315C211yesmaximal, characteristic, complemented
13C37×#3314C211yesmaximal, characteristic, complemented
14C37×#3311C211yesmaximal, characteristic, complemented
15C37×#3306C211yesmaximal, characteristic, complemented
16C37×#3273C211yesmaximal, characteristic, complemented
17C37×#3267C211yesmaximal, characteristic, complemented
18C37×#3267C211yesmaximal, characteristic, complemented
19C37×#3178C211yesmaximal, characteristic, complemented
20C37×#3173C211yesmaximal, characteristic, complemented
21C37×#3172C211yesmaximal, characteristic, complemented
22C37×#3125C211yesmaximal, characteristic, complemented
23C37×#3124C211yesmaximal, characteristic, complemented
24C37×#3120C211yesmaximal, characteristic, complemented
25C37×#3118C211yesmaximal, characteristic, complemented
26C37×#3116C211yesmaximal, characteristic, complemented
27C37×#3114C211yesmaximal, characteristic, complemented
28C37×#2967C211yesmaximal, characteristic, complemented
29C37×#2951C211yesmaximal, characteristic, complemented
30C37×#2946C211yesmaximal, characteristic, complemented
31C4×AGL(1,ℤ/8)×C37C211yesmaximal, characteristic, complemented
32C2×AGL(1,ℤ/8)×C37C2211yescharacteristic
33C2×AGL(1,ℤ/8)×C37C2211yescharacteristic
34C2×#135×C37C2211yescharacteristic
35C37×#556C2211yescharacteristic
36C37×#556C2211yescharacteristic, complemented
37C37×#556C2211yescharacteristic, complemented
38C37×#554C2211yescharacteristic
39C37×#554C2211yescharacteristic, complemented
40C37×#554C2211yescharacteristic, complemented
41C37×#553—21no—
42C37×#553C2211yescharacteristic
43C37×#552—21no—
44C37×#552—21no—
45C37×#552C2211yescharacteristic, complemented
46C37×#551—21no—
47C37×#551—21no—
48C37×#551—21no—
49C37×#551—21no—
50D4×Q8×C37C2211yescharacteristic, complemented
51C37×#548—21no—
52C37×#547C2211yescharacteristic
53C37×#547C2211yescharacteristic
54C37×#547C2211yescharacteristic
55C37×#546C2211yescharacteristic
56C37×#546C2211yescharacteristic
57C37×#546C2211yescharacteristic, complemented
58C37×#546C2211yescharacteristic, complemented
59C37×#542C2211yescharacteristic
60C37×#542C2211yescharacteristic, complemented
61C37×#542C2211yescharacteristic, complemented
62C37×#541C2211yescharacteristic, complemented
63C37×#539—21no—
64C37×#539—21no—
65C37×#539—21no—
66C37×#538—21no—
67C37×#533C2211yescharacteristic, complemented
68C37×#529—21no—
69C37×#529C2211yescharacteristic
70C37×#529C2211yescharacteristic
71C2×#126×C37—21no—
72C37×#525—21no—
73C2×C22⋊Q8×C37—21no—
74C37×#520C2211yescharacteristic
75C37×#520C2211yescharacteristic, complemented
76C37×#520C2211yescharacteristic, complemented
77C37×#518C2211yescharacteristic, complemented
78C4×#41×C37C2211yescharacteristic
79C2×C4×D4×C37C2211yescharacteristic, complemented
80C37×#501C2211yescharacteristic, complemented
81C37×#501C2211yescharacteristic, complemented
82C37×#498C2211yescharacteristic, complemented
83C37×#497C2211yescharacteristic, complemented
84C37×#497C2211yescharacteristic, complemented
85C37×#495C2211yescharacteristic
86C37×#491C2211yescharacteristic, complemented
87C37×#489C2211yescharacteristic, complemented
88C37×#489C2211yescharacteristic, complemented
89C37×#489C2211yescharacteristic, complemented
90C37×#488C2211yescharacteristic, complemented
91C37×#487C2211yescharacteristic, complemented
92C37×#485C2211yescharacteristic, complemented
93C37×#485C2211yescharacteristic, complemented
94C37×#485C2211yescharacteristic, complemented
95C37×#484C2211yescharacteristic, complemented
96C37×#484C2211yescharacteristic, complemented
97C37×#483C2211yescharacteristic, complemented
98C37×#483C2211yescharacteristic, complemented
99C37×#483C2211yescharacteristic, complemented
100C37×#482C2211yescharacteristic
101C37×#481C2211yescharacteristic, complemented
102C37×#480C2211yescharacteristic
103C37×#480C2211yescharacteristic, complemented
104C37×#479C2211yescharacteristic, complemented
105C37×#478C2211yescharacteristic, complemented
106C37×#478C2211yescharacteristic, complemented
107C37×#478C2211yescharacteristic, complemented
108C37×#477C2211yescharacteristic, complemented
109C37×#477C2211yescharacteristic, complemented
110C37×#476C2211yescharacteristic, complemented
111C37×#476C2211yescharacteristic, complemented
112C37×#476C2211yescharacteristic, complemented
113C37×#475C2211yescharacteristic, complemented
114C37×#474C2211yescharacteristic, complemented
115C37×#474C2211yescharacteristic, complemented
116C37×#470C2211yescharacteristic, complemented
117C37×#470C2211yescharacteristic, complemented
118C37×#470C2211yescharacteristic, complemented
119C37×#470C2211yescharacteristic, complemented
120C37×#469C2211yescharacteristic
121C37×#468C2211yescharacteristic
122C37×#468C2211yescharacteristic
123C37×#468C2211yescharacteristic
124C37×#467C2211yescharacteristic, complemented
125C37×#465C2211yescharacteristic
126C37×#465C2211yescharacteristic, complemented
127C37×#465C2211yescharacteristic, complemented
128C37×#464C2211yescharacteristic, complemented
129C37×#464C2211yescharacteristic, complemented
130C37×#463C2211yescharacteristic
131C37×#463C2211yescharacteristic
132C37×#463C2211yescharacteristic
133C37×#463C2211yescharacteristic
134C37×#463C2211yescharacteristic
135C37×#463C2211yescharacteristic
136C37×#462C2211yescharacteristic, complemented
137C37×#462C2211yescharacteristic, complemented
138C37×#461C2211yescharacteristic, complemented
139C37×#461C2211yescharacteristic, complemented
140C37×#452C2211yescharacteristic
141C37×#452C2211yescharacteristic
142C37×#452C2211yescharacteristic
143C37×#452C2211yescharacteristic
144C37×#452C2211yescharacteristic, complemented
145C37×#452C2211yescharacteristic, complemented
146C37×#450C2211yescharacteristic, complemented
147C37×#450C2211yescharacteristic, complemented
148C37×#449C2211yescharacteristic
149C37×#449C2211yescharacteristic
150C37×#447C2211yescharacteristic
151C37×#447C2211yescharacteristic
152C37×#446C2211yescharacteristic, complemented
153C37×#446C2211yescharacteristic, complemented
154C37×#442C2211yescharacteristic
155C37×#442C2211yescharacteristic
156C37×#442C2211yescharacteristic
157C37×#442C2211yescharacteristic
158C37×#442C2211yescharacteristic
159C37×#441C2211yescharacteristic, complemented
160C37×#441C2211yescharacteristic, complemented
161C37×#440C2211yescharacteristic, complemented
162C37×#440C2211yescharacteristic, complemented
163C37×#440C2211yescharacteristic, complemented
164C37×#440C2211yescharacteristic, complemented
165C37×#440C2211yescharacteristic, complemented
166C37×#440C2211yescharacteristic, complemented
167C37×#440C2211yescharacteristic, complemented
168C37×#440C2211yescharacteristic, complemented
169C37×#440C2211yescharacteristic, complemented
170C4×Q16×C37C2211yescharacteristic, complemented
171C4×Q16×C37C2211yescharacteristic, complemented
172C4×Q16×C37C2211yescharacteristic, complemented
173C4×SD16×C37C2211yescharacteristic, complemented
174C4×SD16×C37C2211yescharacteristic, complemented
175C4×SD16×C37C2211yescharacteristic, complemented
176C4×SD16×C37C2211yescharacteristic, complemented
177C4×SD16×C37C2211yescharacteristic, complemented
178C4×D8×C37C2211yescharacteristic
179C4×D8×C37C2211yescharacteristic
180C4×D8×C37C2211yescharacteristic
181C4×D8×C37C2211yescharacteristic
182C37×#436C2211yescharacteristic
183C37×#436C2211yescharacteristic, complemented
184C37×#435C2211yescharacteristic
185C37×#435C2211yescharacteristic, complemented
186C37×#435C2211yescharacteristic, complemented
187C37×#435C2211yescharacteristic, complemented
188C37×#433C2211yescharacteristic, complemented
189C37×#433C2211yescharacteristic, complemented
190C37×#432C2211yescharacteristic, complemented
191C37×#428C2211yescharacteristic, complemented
192C37×#428C2211yescharacteristic, complemented
193C2×#107×C37C2211yescharacteristic, complemented
194C37×#418C2211yescharacteristic, complemented
195C37×#417C2211yescharacteristic
196C37×#417C2211yescharacteristic, complemented
197C37×#417C2211yescharacteristic, complemented
198C37×#416C2211yescharacteristic
199C2×#102×C37C2211yescharacteristic, complemented
200C37×#405C2211yescharacteristic, complemented
201C37×#405C2211yescharacteristic, complemented
202C4×M16×C37C2211yescharacteristic, complemented
203C2×#41×C37—21no—
204C2×#41×C37C2311yescharacteristic
205C2×#41×C37C2311yescharacteristic
206C2×#41×C37C2311yescharacteristic
207C2×#41×C37C2311yescharacteristic
208C22×Q8×C37—21no—
209C22×D4×C37C2311yescharacteristic
210C22×D4×C37C2311yescharacteristic
211C23×C4×C37—21no—
212AGL(1,ℤ/8)×C37—24no—
213AGL(1,ℤ/8)×C37—24no—
214#135×C37—24no—
215C2×Q16×C37C2311yescharacteristic
216C2×Q16×C37C2311yescharacteristic
217C2×Q16×C37C2311yescharacteristic
218C2×Q16×C37C2311yescharacteristic
219C2×SD16×C37C2311yescharacteristic
220C2×SD16×C37C2311yescharacteristic
221C2×SD16×C37C2311yescharacteristic
222C2×SD16×C37C2311yescharacteristic
223C2×SD16×C37C2311yescharacteristic
224C2×SD16×C37C2311yescharacteristic
225C2×SD16×C37C2311yescharacteristic
226C2×SD16×C37C2311yescharacteristic
227C2×D8×C37C2311yescharacteristic
228C2×D8×C37C2311yescharacteristic
229C2×D8×C37C2311yescharacteristic
230C2×D8×C37C2311yescharacteristic
231C2×M16×C37C2311yescharacteristic
232C2×M16×C37C2311yescharacteristic
233C2×M16×C37C2311yescharacteristic
234C2×M16×C37C2311yescharacteristic
235C22×C8×C37C2311yescharacteristic
236C22×C8×C37C2311yescharacteristic
237C4⋊Q8×C37C2311yescharacteristic
238C4⋊Q8×C37C2311yescharacteristic
239C4⋊Q8×C37C2311yescharacteristic
240C4⋊Q8×C37C2311yescharacteristic
241C4⋊Q8×C37C2311yescharacteristic
242C4⋊Q8×C37C2311yescharacteristic
243#126×C37—21no—
244#126×C37—21no—
245#126×C37—21no—
246#126×C37—21no—
247#126×C37—21no—
248#126×C37—21no—
249#126×C37—21no—
250#126×C37—21no—
251#126×C37—21no—
252#126×C37—21no—
253#126×C37—21no—
254#126×C37—21no—
255#126×C37—21no—
256#126×C37—21no—
257#126×C37D411yescharacteristic
258#126×C37D411yescharacteristic
259#125×C37—21no—
260#125×C37—21no—
261#125×C37—21no—
262#125×C37—21no—
263#125×C37—21no—
264#125×C37—21no—
265#125×C37D411yescharacteristic
266#125×C37C2311yescharacteristic
267#125×C37C2311yescharacteristic
268#124×C37—21no—
269#124×C37—21no—
270#124×C37—21no—
271#124×C37—21no—
272#124×C37D411yescharacteristic
273#124×C37C2311yescharacteristic
274#124×C37C2311yescharacteristic
275#124×C37C2311yescharacteristic
276#124×C37C2311yescharacteristic
277#123×C37—21no—
278#123×C37—21no—
279#123×C37—21no—
280#123×C37—21no—
281#123×C37—21no—
282#123×C37—21no—
283#123×C37—21no—
284#123×C37—21no—
285#123×C37—21no—
286#123×C37—21no—
287#123×C37—21no—
288#123×C37—21no—
289#123×C37—21no—
290#123×C37—21no—
291#123×C37—21no—
292#123×C37—21no—
293#123×C37D411yescharacteristic
294#123×C37D411yescharacteristic
295C22⋊Q8×C37—21no—
296C22⋊Q8×C37—21no—
297C22⋊Q8×C37—21no—
298C22⋊Q8×C37—21no—
299C22⋊Q8×C37—21no—
300C22⋊Q8×C37—21no—
301C22⋊Q8×C37—21no—
302C22⋊Q8×C37—21no—
303C22⋊Q8×C37—21no—
304C22⋊Q8×C37—21no—
305C22⋊Q8×C37—21no—
306C22⋊Q8×C37—21no—
307C22⋊Q8×C37—21no—
308C22⋊Q8×C37—21no—
309C22⋊Q8×C37—21no—
310C22⋊Q8×C37—21no—
311C22⋊Q8×C37—21no—
312C22⋊Q8×C37D411yescharacteristic
313C22⋊Q8×C37C2311yescharacteristic
314C22⋊Q8×C37C2311yescharacteristic
315C22⋊Q8×C37C2311yescharacteristic
316C22⋊Q8×C37C2311yescharacteristic
317C22⋊Q8×C37C2311yescharacteristic
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×C37D411yescharacteristic
329#121×C37C2311yescharacteristic
330#121×C37C2311yescharacteristic
331#121×C37C2311yescharacteristic
332#121×C37C2311yescharacteristic
333#120×C37—21no—
334#120×C37—21no—
335#120×C37—21no—
336#120×C37—21no—
337C4×Q8×C37—21no—
338C4×Q8×C37—21no—
339C4×Q8×C37C2311yescharacteristic
340C4×Q8×C37C2311yescharacteristic
341C4×Q8×C37C2311yescharacteristic
342C4×Q8×C37C2311yescharacteristic
343C4×Q8×C37C2311yescharacteristic
344C4×Q8×C37C2311yescharacteristic
345C4×Q8×C37C2311yescharacteristic
346C4×Q8×C37C2311yescharacteristic
347C4×Q8×C37C2311yescharacteristic
348C4×D4×C37—21no—
349C4×D4×C37—21no—
350C4×D4×C37—21no—
351C4×D4×C37—21no—
352C4×D4×C37—21no—
353C4×D4×C37—21no—
354C4×D4×C37—21no—
355C4×D4×C37—21no—
356C4×D4×C37—21no—
357C4×D4×C37—21no—
358C4×D4×C37—21no—
359C4×D4×C37—21no—
360C4×D4×C37—21no—
361C4×D4×C37—21no—
362C4×D4×C37—21no—
363C4×D4×C37—21no—
364C4×D4×C37C2311yescharacteristic
365C4×D4×C37C2311yescharacteristic
366C4×D4×C37C2311yescharacteristic
367C4×D4×C37C2311yescharacteristic
368C4×D4×C37C2311yescharacteristic
369C4×D4×C37C2311yescharacteristic
370C4×D4×C37C2311yescharacteristic
371C4×D4×C37C2311yescharacteristic
372C4×D4×C37C2311yescharacteristic
373C4×D4×C37C2311yescharacteristic
374C4×D4×C37C2311yescharacteristic
375C4×D4×C37C2311yescharacteristic
376C4×D4×C37C2311yescharacteristic
377C4×D4×C37C2311yescharacteristic
378C4×D4×C37C2311yescharacteristic
379#117×C37—21no—
380#117×C37—21no—
381#117×C37—21no—
382#117×C37—21no—
383#117×C37—21no—
384#117×C37—21no—
385#117×C37—21no—
386#117×C37—21no—
387#117×C37—21no—
388#117×C37C2311yescharacteristic
389#117×C37C2311yescharacteristic
390#117×C37C2311yescharacteristic
391#117×C37C2311yescharacteristic
392C2×C4⋊C4×C37—21no—
393C2×C4⋊C4×C37—21no—
394C2×C4⋊C4×C37—21no—
395C2×C4⋊C4×C37—21no—
396C2×C4⋊C4×C37—21no—
397C2×C4⋊C4×C37—21no—
398C2×C4⋊C4×C37C2311yescharacteristic
399C2×C4⋊C4×C37C2311yescharacteristic
400C2×C4⋊C4×C37C2311yescharacteristic
401C2×C4⋊C4×C37C2311yescharacteristic
402C2×C22⋊C4×C37—21no—
403C2×C22⋊C4×C37—21no—
404C2×C22⋊C4×C37—21no—
405C2×C22⋊C4×C37—21no—
406C2×C22⋊C4×C37—21no—
407C2×C22⋊C4×C37—21no—
408C2×C22⋊C4×C37—21no—
409C2×C42×C37—21no—
410C2×C42×C37C2311yescharacteristic
411#107×C37C2311yescharacteristic
412#107×C37C2311yescharacteristic
413#107×C37C2311yescharacteristic
414#107×C37C2311yescharacteristic
415#107×C37C2311yescharacteristic
416#107×C37C2311yescharacteristic
417#107×C37C2311yescharacteristic
418#107×C37C2311yescharacteristic
419#106×C37C2311yescharacteristic
420#106×C37C2311yescharacteristic
421#106×C37C2311yescharacteristic
422#106×C37C2311yescharacteristic
423#106×C37C2311yescharacteristic
424#106×C37C2311yescharacteristic
425#106×C37C2311yescharacteristic
426#106×C37C2311yescharacteristic
427C4⋊C8×C37C2311yescharacteristic
428C4⋊C8×C37C2311yescharacteristic
429C4⋊C8×C37C2311yescharacteristic
430C4⋊C8×C37C2311yescharacteristic
431C4⋊C8×C37C2311yescharacteristic
432C4⋊C8×C37C2311yescharacteristic
433#103×C37C2311yescharacteristic
434#103×C37C2311yescharacteristic
435#103×C37C2311yescharacteristic
436#103×C37C2311yescharacteristic
437#103×C37C2311yescharacteristic
438#103×C37C2311yescharacteristic
439#103×C37C2311yescharacteristic
440#103×C37C2311yescharacteristic
441#103×C37C2311yescharacteristic
442#103×C37C2311yescharacteristic
443#103×C37C2311yescharacteristic
444#103×C37C2311yescharacteristic
445#103×C37C2311yescharacteristic
446#103×C37C2311yescharacteristic
447#103×C37C2311yescharacteristic
448#103×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
465C22⋊C8×C37C2311yescharacteristic
466C22⋊C8×C37C2311yescharacteristic
467C22⋊C8×C37C2311yescharacteristic
468C22⋊C8×C37C2311yescharacteristic
469C22⋊C8×C37C2311yescharacteristic
470C22⋊C8×C37C2311yescharacteristic
471#97×C37C2311yescharacteristic
472#97×C37C2311yescharacteristic
473#97×C37C2311yescharacteristic
474#97×C37C2311yescharacteristic
475#97×C37C2311yescharacteristic
476#97×C37C2311yescharacteristic
477C4×C8×C37C2311yescharacteristic
478C4×C8×C37C2311yescharacteristic
479C4×C8×C37C2311yescharacteristic
480C4×C8×C37C2311yescharacteristic
481C24×C37—21no—
482C24×C37—21no—
483#41×C37—22no—
484#41×C37—22no—
485#41×C37—22no—
486#41×C37—22no—
487#41×C37—41no—
488#41×C37—41no—
489#41×C37—41no—
490#41×C37—41no—
491#41×C37—82no—
492C2×Q8×C37—21no—
493C2×Q8×C37—21no—
494C2×Q8×C37—21no—
495C2×Q8×C37—21no—
496C2×Q8×C37—82no—
497C2×Q8×C37C2×D411yescharacteristic
498C2×Q8×C37C2411yescharacteristic
499C2×Q8×C37C2411yescharacteristic
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—41no—
515C2×D4×C37—41no—
516C2×D4×C37C2×D411yescharacteristic
517C2×D4×C37C2×D411yescharacteristic
518C2×D4×C37C2×D411yescharacteristic
519C2×D4×C37C2411yescharacteristic
520C2×D4×C37C2411yescharacteristic
521C2×D4×C37C2411yescharacteristic
522C2×D4×C37C2411yescharacteristic
523C22×C4×C37—21no—
524C22×C4×C37—21no—
525C22×C4×C37—21no—
526C22×C4×C37—21no—
527C22×C4×C37—21no—
528C22×C4×C37—21no—
529C22×C4×C37—21no—
530C22×C4×C37—21no—
531C22×C4×C37—21no—
532C22×C4×C37—21no—
533C22×C4×C37—21no—
534C22×C4×C37—21no—
535C22×C4×C37—21no—
536C22×C4×C37—21no—
537C22×C4×C37—21no—
538C22×C4×C37—21no—
539C22×C4×C37—21no—
540C22×C4×C37—21no—
541C22×C4×C37—21no—
542C22×C4×C37—21no—
543C22×C4×C37—82no—
544C22×C4×C37C2×D411yescharacteristic
545C22×C4×C37C2×D411yescharacteristic
546C22×C4×C37C2411yescharacteristic
547C22×C4×C37C2411yescharacteristic
548C22×C4×C37C2411yescharacteristic
549Q16×C37—22no—
550Q16×C37—41no—
551Q16×C37—41no—
552Q16×C37—41no—
553SD16×C37—22no—
554SD16×C37—22no—
555SD16×C37—22no—
556SD16×C37—22no—
557SD16×C37—22no—
558SD16×C37—22no—
559SD16×C37—41no—
560SD16×C37—41no—
561D8×C37—22no—
562D8×C37—22no—
563D8×C37—41no—
564D8×C37#4114yescomplemented
565M16×C37—22no—
566M16×C37—22no—
567M16×C37—41no—
568M16×C37—41no—
569C2×C8×C37—22no—
570C2×C8×C37—41no—
571C2×C8×C37C2411yescharacteristic
572C2×C8×C37C2411yescharacteristic
573C2×C8×C37C2411yescharacteristic
574C2×C8×C37C2411yescharacteristic
575C2×C8×C37C2411yescharacteristic
576C2×C8×C37C2411yescharacteristic
577C2×C8×C37C2411yescharacteristic
578C2×C8×C37C2411yescharacteristic
579C4⋊C4×C37—21no—
580C4⋊C4×C37—21no—
581C4⋊C4×C37—21no—
582C4⋊C4×C37—21no—
583C4⋊C4×C37—21no—
584C4⋊C4×C37—21no—
585C4⋊C4×C37—21no—
586C4⋊C4×C37—21no—
587C4⋊C4×C37—21no—
588C4⋊C4×C37—21no—
589C4⋊C4×C37—21no—
590C4⋊C4×C37—21no—
591C4⋊C4×C37—21no—
592C4⋊C4×C37—21no—
593C4⋊C4×C37—21no—
594C4⋊C4×C37—21no—
595C4⋊C4×C37—21no—
596C4⋊C4×C37—21no—
597C4⋊C4×C37—21no—
598C4⋊C4×C37—21no—
599C4⋊C4×C37—21no—
600C4⋊C4×C37—21no—
601C4⋊C4×C37—21no—
602C4⋊C4×C37—21no—
603C4⋊C4×C37—21no—
604C4⋊C4×C37—21no—
605C4⋊C4×C37—21no—
606C4⋊C4×C37—21no—
607C4⋊C4×C37—21no—
608C4⋊C4×C37—21no—
609C4⋊C4×C37—21no—
610C4⋊C4×C37—21no—
611C4⋊C4×C37C2×D411yescharacteristic
612C4⋊C4×C37C2×D411yescharacteristic
613C4⋊C4×C37C2×D411yescharacteristic
614C4⋊C4×C37C2×D411yescharacteristic
615C4⋊C4×C37C2×D411yescharacteristic
616C4⋊C4×C37C2×D411yescharacteristic
617C4⋊C4×C37C2×D411yescharacteristic
618C4⋊C4×C37C2×D411yescharacteristic
619C4⋊C4×C37C2×D411yescharacteristic
620C4⋊C4×C37C2×D411yescharacteristic
621C4⋊C4×C37C2411yescharacteristic
622C4⋊C4×C37C2411yescharacteristic
623C4⋊C4×C37C2411yescharacteristic
624C4⋊C4×C37C2411yescharacteristic
625C4⋊C4×C37C2411yescharacteristic
626C4⋊C4×C37C2411yescharacteristic
627C4⋊C4×C37C2411yescharacteristic
628C4⋊C4×C37C2411yescharacteristic
629C22⋊C4×C37—21no—
630C22⋊C4×C37—21no—
631C22⋊C4×C37—21no—
632C22⋊C4×C37—21no—
633C22⋊C4×C37—21no—
634C22⋊C4×C37—21no—
635C22⋊C4×C37—21no—
636C22⋊C4×C37—21no—
637C22⋊C4×C37—21no—
638C22⋊C4×C37—21no—
639C22⋊C4×C37—21no—
640C22⋊C4×C37—21no—
641C22⋊C4×C37—21no—
642C22⋊C4×C37—21no—
643C22⋊C4×C37—21no—
644C22⋊C4×C37—21no—
645C22⋊C4×C37—21no—
646C22⋊C4×C37—21no—
647C22⋊C4×C37—21no—
648C22⋊C4×C37—21no—
649C22⋊C4×C37—21no—
650C22⋊C4×C37—21no—
651C22⋊C4×C37—21no—
652C22⋊C4×C37—21no—
653C22⋊C4×C37—21no—
654C22⋊C4×C37—21no—
655C22⋊C4×C37—21no—
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×C37C2×D411yescharacteristic
664C22⋊C4×C37C2×D411yescharacteristic
665C22⋊C4×C37C2×D411yescharacteristic
666C22⋊C4×C37C2×D411yescharacteristic
667C22⋊C4×C37C2×D411yescharacteristic
668C22⋊C4×C37C2×D411yescharacteristic
669C22⋊C4×C37C2×D411yescharacteristic
670C22⋊C4×C37C2×D411yescharacteristic
671C22⋊C4×C37C2×D411yescharacteristic
672C22⋊C4×C37C2×D411yescharacteristic
673C42×C37—21no—
674C42×C37—21no—
675C42×C37—21no—
676C42×C37—21no—
677C42×C37—21no—
678C42×C37—21no—
679C42×C37—21no—
680C42×C37—21no—
681C42×C37—21no—
682C42×C37—21no—
683C42×C37C2×D411yescharacteristic
684C42×C37C2×D411yescharacteristic
685C42×C37C2411yescharacteristic
686C42×C37C2411yescharacteristic
687C42×C37C2411yescharacteristic
688C42×C37C2411yescharacteristic
689C23×C37—21no—
690C23×C37—21no—
691C23×C37—21no—
692C23×C37—21no—
693C23×C37—42no—
694C23×C37—42no—
695C23×C37—42no—
696C23×C37—81no—
697C23×C37—81no—
698C23×C37—81no—
699C23×C37C22×D411yescharacteristic
700C23×C37C22×D411yescharacteristic
701C23×C37C22×D411yescharacteristic
702Q8×C37—21no—
703Q8×C37—21no—
704Q8×C37—21no—
705Q8×C37—21no—
706Q8×C37—21no—
707Q8×C37—21no—
708Q8×C37—21no—
709Q8×C37—21no—
710Q8×C37—41no—
711Q8×C37—42no—
712Q8×C37—81no—
713Q8×C37—81no—
714Q8×C37—81no—
715D4×C37—21no—
716D4×C37—21no—
717D4×C37—21no—
718D4×C37—21no—
719D4×C37—21no—
720D4×C37—21no—
721D4×C37—41no—
722D4×C37—41no—
723D4×C37—41no—
724D4×C37—42no—
725D4×C37—42no—
726D4×C37—42no—
727D4×C37—42no—
728D4×C37—42no—
729D4×C37—42no—
730D4×C37—81no—
731D4×C37—81no—
732D4×C37—81no—
733D4×C37—81no—
734D4×C37C2×#4112yes—
735D4×C37C2×#4112yes—
736C2×C4×C37—21no—
737C2×C4×C37—21no—
738C2×C4×C37—21no—
739C2×C4×C37—21no—
740C2×C4×C37—21no—
741C2×C4×C37—21no—
742C2×C4×C37—21no—
743C2×C4×C37—21no—
744C2×C4×C37—21no—
745C2×C4×C37—21no—
746C2×C4×C37—21no—
747C2×C4×C37—21no—
748C2×C4×C37—21no—
749C2×C4×C37—21no—
750C2×C4×C37—21no—
751C2×C4×C37—21no—
752C2×C4×C37—21no—
753C2×C4×C37—21no—
754C2×C4×C37—41no—
755C2×C4×C37—41no—
756C2×C4×C37—42no—
757C2×C4×C37—42no—
758C2×C4×C37—42no—
759C2×C4×C37—42no—
760C2×C4×C37—42no—
761C2×C4×C37—42no—
762C2×C4×C37—81no—
763C2×C4×C37—81no—
764C2×C4×C37—81no—
765C2×C4×C37—81no—
766C2×C4×C37—81no—
767C2×C4×C37—81no—
768C2×C4×C37—81no—
769C2×C4×C37—81no—
770C2×C4×C37—81no—
771C2×C4×C37—81no—
772C2×C4×C37—81no—
773C2×C4×C37—81no—
774C2×C4×C37—81no—
775C2×C4×C37—81no—
776C2×C4×C37C22×D411yescharacteristic
777C2×C4×C37C22×D411yescharacteristic
778C2×C4×C37C22×D411yescharacteristic
779C2×C4×C37C22×D411yescharacteristic
780C2×C4×C37C22×D411yescharacteristic
781C2×C4×C37C22×D411yescharacteristic
782C2×C4×C37C22×D411yescharacteristic
783C2×C4×C37C22×D411yescharacteristic
784C2×C4×C37C22×D411yescharacteristic
785C2×C4×C37C22×D411yescharacteristic
786C2×C4×C37C22×D411yescharacteristic
787C2×C4×C37C2511yescharacteristic
788C8×C37—21no—
789C8×C37—21no—
790C8×C37—21no—
791C8×C37—21no—
792C8×C37—21no—
793C8×C37—21no—
794C8×C37—21no—
795C8×C37C2×#4112yes—
796#61510C3711yesmaximal, characteristic, direct product factor, Sylow
797C22×C37—21no—
798C22×C37—21no—
799C22×C37—21no—
800C22×C37—21no—
801C22×C37—21no—
802C22×C37—21no—
803C22×C37—21no—
804C22×C37—21no—
805C22×C37—21no—
806C22×C37—22no—
807C22×C37—22no—
808C22×C37—41no—
809C22×C37—41no—
810C22×C37—41no—
811C22×C37—41no—
812C22×C37—41no—
813C22×C37—41no—
814C22×C37—41no—
815C22×C37—41no—
816C22×C37—41no—
817C22×C37—41no—
818C22×C37—84no—
819C22×C37—162no—
820C22×C37C23×D411yescharacteristic
821C4×C37—21no—
822C4×C37—21no—
823C4×C37—21no—
824C4×C37—21no—
825C4×C37—21no—
826C4×C37—21no—
827C4×C37—21no—
828C4×C37—21no—
829C4×C37—21no—
830C4×C37—21no—
831C4×C37—21no—
832C4×C37—41no—
833C4×C37—41no—
834C4×C37—41no—
835C4×C37—41no—
836C4×C37—41no—
837C4×C37—41no—
838C4×C37—41no—
839C4×C37—41no—
840C4×C37—41no—
841C4×C37—41no—
842C4×C37—41no—
843C4×C37—41no—
844C4×C37C22×#4111yescharacteristic
845C4×C37#58511yescharacteristic
846#3521C2×C3711yescharacteristic, complemented
847#3520C2×C3711yescharacteristic, complemented
848#3402C2×C3711yescharacteristic, complemented
849#3384C2×C3711yescharacteristic, complemented
850#3376C2×C3711yescharacteristic, complemented
851#3367C2×C3711yescharacteristic, complemented
852#3356C2×C3711yescharacteristic, complemented
853#3346C2×C3711yescharacteristic, complemented
854#3343C2×C3711yescharacteristic, complemented
855#3331C2×C3711yescharacteristic, complemented
856#3322C2×C3711yescharacteristic, complemented
857#3315C2×C3711yescharacteristic, complemented
858#3314C2×C3711yescharacteristic, complemented
859#3311C2×C3711yescharacteristic, complemented
860#3306C2×C3711yescharacteristic, complemented
861#3273C2×C3711yescharacteristic, complemented
862#3267C2×C3711yescharacteristic, complemented
863#3267C2×C3711yescharacteristic, complemented
864#3178C2×C3711yescharacteristic, complemented
865#3173C2×C3711yescharacteristic, complemented
866#3172C2×C3711yescharacteristic, complemented
867#3125C2×C3711yescharacteristic, complemented
868#3124C2×C3711yescharacteristic, complemented
869#3120C2×C3711yescharacteristic, complemented
870#3118C2×C3711yescharacteristic, complemented
871#3116C2×C3711yescharacteristic, complemented
872#3114C2×C3711yescharacteristic, complemented
873#2967C2×C3711yescharacteristic, complemented
874#2951C2×C3711yescharacteristic, complemented
875#2946C2×C3711yescharacteristic, complemented
876C4×AGL(1,ℤ/8)C2×C3711yescharacteristic, complemented
877C2×C37—41no—
878C2×C37—41no—
879C2×C37—41no—
880C2×C37—42no—
881C2×C37—42no—
882C2×C37—81no—
883C2×C37—81no—
884C2×C37D4×#4111yescharacteristic
885C2×C37#358511yescharacteristic
886C2×C37#358611yescharacteristic
887C2×AGL(1,ℤ/8)C22×C3711yescharacteristic
888C2×AGL(1,ℤ/8)C22×C3711yescharacteristic
889C2×#135C22×C3711yescharacteristic
890#556C22×C3711yescharacteristic
891#556C22×C3711yescharacteristic, complemented
892#556C22×C3711yescharacteristic, complemented
893#554C22×C3711yescharacteristic
894#554C22×C3711yescharacteristic, complemented
895#554C22×C3711yescharacteristic, complemented
896#553—21no—
897#553C22×C3711yescharacteristic
898#552—21no—
899#552—21no—
900#552C22×C3711yescharacteristic, complemented
901#551—21no—
902#551—21no—
903#551—21no—
904#551—21no—
905D4×Q8C22×C3711yescharacteristic, complemented
906#548—21no—
907#547C22×C3711yescharacteristic
908#547C22×C3711yescharacteristic
909#547C22×C3711yescharacteristic
910#546C22×C3711yescharacteristic
911#546C22×C3711yescharacteristic
912#546C22×C3711yescharacteristic, complemented
913#546C22×C3711yescharacteristic, complemented
914#542C22×C3711yescharacteristic
915#542C22×C3711yescharacteristic, complemented
916#542C22×C3711yescharacteristic, complemented
917#541C22×C3711yescharacteristic, complemented
918#539—21no—
919#539—21no—
920#539—21no—
921#538—21no—
922#533C22×C3711yescharacteristic, complemented
923#529—21no—
924#529C22×C3711yescharacteristic
925#529C22×C3711yescharacteristic
926C2×#126—21no—
927#525—21no—
928C2×C22⋊Q8—21no—
929#520C22×C3711yescharacteristic
930#520C22×C3711yescharacteristic, complemented
931#520C22×C3711yescharacteristic, complemented
932#518C22×C3711yescharacteristic, complemented
933C4×#41C22×C3711yescharacteristic
934C2×C4×D4C22×C3711yescharacteristic, complemented
935#501C22×C3711yescharacteristic, complemented
936#501C22×C3711yescharacteristic, complemented
937#498C22×C3711yescharacteristic, complemented
938#497C22×C3711yescharacteristic, complemented
939#497C22×C3711yescharacteristic, complemented
940#495C22×C3711yescharacteristic
941#491C22×C3711yescharacteristic, complemented
942#489C22×C3711yescharacteristic, complemented
943#489C22×C3711yescharacteristic, complemented
944#489C22×C3711yescharacteristic, complemented
945#488C22×C3711yescharacteristic, complemented
946#487C22×C3711yescharacteristic, complemented
947#485C22×C3711yescharacteristic, complemented
948#485C22×C3711yescharacteristic, complemented
949#485C22×C3711yescharacteristic, complemented
950#484C22×C3711yescharacteristic, complemented
951#484C22×C3711yescharacteristic, complemented
952#483C22×C3711yescharacteristic, complemented
953#483C22×C3711yescharacteristic, complemented
954#483C22×C3711yescharacteristic, complemented
955#482C22×C3711yescharacteristic
956#481C22×C3711yescharacteristic, complemented
957#480C22×C3711yescharacteristic
958#480C22×C3711yescharacteristic, complemented
959#479C22×C3711yescharacteristic, complemented
960#478C22×C3711yescharacteristic, complemented
961#478C22×C3711yescharacteristic, complemented
962#478C22×C3711yescharacteristic, complemented
963#477C22×C3711yescharacteristic, complemented
964#477C22×C3711yescharacteristic, complemented
965#476C22×C3711yescharacteristic, complemented
966#476C22×C3711yescharacteristic, complemented
967#476C22×C3711yescharacteristic, complemented
968#475C22×C3711yescharacteristic, complemented
969#474C22×C3711yescharacteristic, complemented
970#474C22×C3711yescharacteristic, complemented
971#470C22×C3711yescharacteristic, complemented
972#470C22×C3711yescharacteristic, complemented
973#470C22×C3711yescharacteristic, complemented
974#470C22×C3711yescharacteristic, complemented
975#469C22×C3711yescharacteristic
976#468C22×C3711yescharacteristic
977#468C22×C3711yescharacteristic
978#468C22×C3711yescharacteristic
979#467C22×C3711yescharacteristic, complemented
980#465C22×C3711yescharacteristic
981#465C22×C3711yescharacteristic, complemented
982#465C22×C3711yescharacteristic, complemented
983#464C22×C3711yescharacteristic, complemented
984#464C22×C3711yescharacteristic, complemented
985#463C22×C3711yescharacteristic
986#463C22×C3711yescharacteristic
987#463C22×C3711yescharacteristic
988#463C22×C3711yescharacteristic
989#463C22×C3711yescharacteristic
990#463C22×C3711yescharacteristic
991#462C22×C3711yescharacteristic, complemented
992#462C22×C3711yescharacteristic, complemented
993#461C22×C3711yescharacteristic, complemented
994#461C22×C3711yescharacteristic, complemented
995#452C22×C3711yescharacteristic
996#452C22×C3711yescharacteristic
997#452C22×C3711yescharacteristic
998#452C22×C3711yescharacteristic
999#452C22×C3711yescharacteristic, complemented
1000#452C22×C3711yescharacteristic, complemented
1001#450C22×C3711yescharacteristic, complemented
1002#450C22×C3711yescharacteristic, complemented
1003#449C22×C3711yescharacteristic
1004#449C22×C3711yescharacteristic
1005#447C22×C3711yescharacteristic
1006#447C22×C3711yescharacteristic
1007#446C22×C3711yescharacteristic, complemented
1008#446C22×C3711yescharacteristic, complemented
1009#442C22×C3711yescharacteristic
1010#442C22×C3711yescharacteristic
1011#442C22×C3711yescharacteristic
1012#442C22×C3711yescharacteristic
1013#442C22×C3711yescharacteristic
1014#441C22×C3711yescharacteristic, complemented
1015#441C22×C3711yescharacteristic, complemented
1016#440C22×C3711yescharacteristic, complemented
1017#440C22×C3711yescharacteristic, complemented
1018#440C22×C3711yescharacteristic, complemented
1019#440C22×C3711yescharacteristic, complemented
1020#440C22×C3711yescharacteristic, complemented
1021#440C22×C3711yescharacteristic, complemented
1022#440C22×C3711yescharacteristic, complemented
1023#440C22×C3711yescharacteristic, complemented
1024#440C22×C3711yescharacteristic, complemented
1025C4×Q16C22×C3711yescharacteristic, complemented
1026C4×Q16C22×C3711yescharacteristic, complemented
1027C4×Q16C22×C3711yescharacteristic, complemented
1028C4×SD16C22×C3711yescharacteristic, complemented
1029C4×SD16C22×C3711yescharacteristic, complemented
1030C4×SD16C22×C3711yescharacteristic, complemented
1031C4×SD16C22×C3711yescharacteristic, complemented
1032C4×SD16C22×C3711yescharacteristic, complemented
1033C4×D8C22×C3711yescharacteristic
1034C4×D8C22×C3711yescharacteristic
1035C4×D8C22×C3711yescharacteristic
1036C4×D8C22×C3711yescharacteristic
1037#436C22×C3711yescharacteristic
1038#436C22×C3711yescharacteristic, complemented
1039#435C22×C3711yescharacteristic
1040#435C22×C3711yescharacteristic, complemented
1041#435C22×C3711yescharacteristic, complemented
1042#435C22×C3711yescharacteristic, complemented
1043#433C22×C3711yescharacteristic, complemented
1044#433C22×C3711yescharacteristic, complemented
1045#432C22×C3711yescharacteristic, complemented
1046#428C22×C3711yescharacteristic, complemented
1047#428C22×C3711yescharacteristic, complemented
1048C2×#107C22×C3711yescharacteristic, complemented
1049#418C22×C3711yescharacteristic, complemented
1050#417C22×C3711yescharacteristic
1051#417C22×C3711yescharacteristic, complemented
1052#417C22×C3711yescharacteristic, complemented
1053#416C22×C3711yescharacteristic
1054C2×#102C22×C3711yescharacteristic, complemented
1055#405C22×C3711yescharacteristic, complemented
1056#405C22×C3711yescharacteristic, complemented
1057C4×M16C22×C3711yescharacteristic, complemented
1058C37#6151011yescharacteristic, direct product factor, Sylow
1059C2×#41—21no—
1060C2×#41C23×C3711yescharacteristic
1061C2×#41C23×C3711yescharacteristic
1062C2×#41C23×C3711yescharacteristic
1063C2×#41C23×C3711yescharacteristic
1064C22×Q8—21no—
1065C22×D4C23×C3711yescharacteristic
1066C22×D4C23×C3711yescharacteristic
1067C23×C4—21no—
1068AGL(1,ℤ/8)—24no—
1069AGL(1,ℤ/8)—24no—
1070#135—24no—
1071C2×Q16C23×C3711yescharacteristic
1072C2×Q16C23×C3711yescharacteristic
1073C2×Q16C23×C3711yescharacteristic
1074C2×Q16C23×C3711yescharacteristic
1075C2×SD16C23×C3711yescharacteristic
1076C2×SD16C23×C3711yescharacteristic
1077C2×SD16C23×C3711yescharacteristic
1078C2×SD16C23×C3711yescharacteristic
1079C2×SD16C23×C3711yescharacteristic
1080C2×SD16C23×C3711yescharacteristic
1081C2×SD16C23×C3711yescharacteristic
1082C2×SD16C23×C3711yescharacteristic
1083C2×D8C23×C3711yescharacteristic
1084C2×D8C23×C3711yescharacteristic
1085C2×D8C23×C3711yescharacteristic
1086C2×D8C23×C3711yescharacteristic
1087C2×M16C23×C3711yescharacteristic
1088C2×M16C23×C3711yescharacteristic
1089C2×M16C23×C3711yescharacteristic
1090C2×M16C23×C3711yescharacteristic
1091C22×C8C23×C3711yescharacteristic
1092C22×C8C23×C3711yescharacteristic
1093C4⋊Q8C23×C3711yescharacteristic
1094C4⋊Q8C23×C3711yescharacteristic
1095C4⋊Q8C23×C3711yescharacteristic
1096C4⋊Q8C23×C3711yescharacteristic
1097C4⋊Q8C23×C3711yescharacteristic
1098C4⋊Q8C23×C3711yescharacteristic
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—21no—
1108#126—21no—
1109#126—21no—
1110#126—21no—
1111#126—21no—
1112#126—21no—
1113#126D4×C3711yescharacteristic
1114#126D4×C3711yescharacteristic
1115#125—21no—
1116#125—21no—
1117#125—21no—
1118#125—21no—
1119#125—21no—
1120#125—21no—
1121#125D4×C3711yescharacteristic
1122#125C23×C3711yescharacteristic
1123#125C23×C3711yescharacteristic
1124#124—21no—
1125#124—21no—
1126#124—21no—
1127#124—21no—
1128#124D4×C3711yescharacteristic
1129#124C23×C3711yescharacteristic
1130#124C23×C3711yescharacteristic
1131#124C23×C3711yescharacteristic
1132#124C23×C3711yescharacteristic
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123D4×C3711yescharacteristic
1150#123D4×C3711yescharacteristic
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8—21no—
1168C22⋊Q8D4×C3711yescharacteristic
1169C22⋊Q8C23×C3711yescharacteristic
1170C22⋊Q8C23×C3711yescharacteristic
1171C22⋊Q8C23×C3711yescharacteristic
1172C22⋊Q8C23×C3711yescharacteristic
1173C22⋊Q8C23×C3711yescharacteristic
1174C22⋊Q8C23×C3711yescharacteristic
1175C22⋊Q8C23×C3711yescharacteristic
1176C22⋊Q8C23×C3711yescharacteristic
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121D4×C3711yescharacteristic
1185#121C23×C3711yescharacteristic
1186#121C23×C3711yescharacteristic
1187#121C23×C3711yescharacteristic
1188#121C23×C3711yescharacteristic
1189#120—21no—
1190#120—21no—
1191#120—21no—
1192#120—21no—
1193C4×Q8—21no—
1194C4×Q8—21no—
1195C4×Q8C23×C3711yescharacteristic
1196C4×Q8C23×C3711yescharacteristic
1197C4×Q8C23×C3711yescharacteristic
1198C4×Q8C23×C3711yescharacteristic
1199C4×Q8C23×C3711yescharacteristic
1200C4×Q8C23×C3711yescharacteristic
1201C4×Q8C23×C3711yescharacteristic
1202C4×Q8C23×C3711yescharacteristic
1203C4×Q8C23×C3711yescharacteristic
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4C23×C3711yescharacteristic
1221C4×D4C23×C3711yescharacteristic
1222C4×D4C23×C3711yescharacteristic
1223C4×D4C23×C3711yescharacteristic
1224C4×D4C23×C3711yescharacteristic
1225C4×D4C23×C3711yescharacteristic
1226C4×D4C23×C3711yescharacteristic
1227C4×D4C23×C3711yescharacteristic
1228C4×D4C23×C3711yescharacteristic
1229C4×D4C23×C3711yescharacteristic
1230C4×D4C23×C3711yescharacteristic
1231C4×D4C23×C3711yescharacteristic
1232C4×D4C23×C3711yescharacteristic
1233C4×D4C23×C3711yescharacteristic
1234C4×D4C23×C3711yescharacteristic
1235#117—21no—
1236#117—21no—
1237#117—21no—
1238#117—21no—
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117C23×C3711yescharacteristic
1245#117C23×C3711yescharacteristic
1246#117C23×C3711yescharacteristic
1247#117C23×C3711yescharacteristic
1248C2×C4⋊C4—21no—
1249C2×C4⋊C4—21no—
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4—21no—
1252C2×C4⋊C4—21no—
1253C2×C4⋊C4—21no—
1254C2×C4⋊C4C23×C3711yescharacteristic
1255C2×C4⋊C4C23×C3711yescharacteristic
1256C2×C4⋊C4C23×C3711yescharacteristic
1257C2×C4⋊C4C23×C3711yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—21no—
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—21no—
1262C2×C22⋊C4—21no—
1263C2×C22⋊C4—21no—
1264C2×C22⋊C4—21no—
1265C2×C42—21no—
1266C2×C42C23×C3711yescharacteristic
1267#107C23×C3711yescharacteristic
1268#107C23×C3711yescharacteristic
1269#107C23×C3711yescharacteristic
1270#107C23×C3711yescharacteristic
1271#107C23×C3711yescharacteristic
1272#107C23×C3711yescharacteristic
1273#107C23×C3711yescharacteristic
1274#107C23×C3711yescharacteristic
1275#106C23×C3711yescharacteristic
1276#106C23×C3711yescharacteristic
1277#106C23×C3711yescharacteristic
1278#106C23×C3711yescharacteristic
1279#106C23×C3711yescharacteristic
1280#106C23×C3711yescharacteristic
1281#106C23×C3711yescharacteristic
1282#106C23×C3711yescharacteristic
1283C4⋊C8C23×C3711yescharacteristic
1284C4⋊C8C23×C3711yescharacteristic
1285C4⋊C8C23×C3711yescharacteristic
1286C4⋊C8C23×C3711yescharacteristic
1287C4⋊C8C23×C3711yescharacteristic
1288C4⋊C8C23×C3711yescharacteristic
1289#103C23×C3711yescharacteristic
1290#103C23×C3711yescharacteristic
1291#103C23×C3711yescharacteristic
1292#103C23×C3711yescharacteristic
1293#103C23×C3711yescharacteristic
1294#103C23×C3711yescharacteristic
1295#103C23×C3711yescharacteristic
1296#103C23×C3711yescharacteristic
1297#103C23×C3711yescharacteristic
1298#103C23×C3711yescharacteristic
1299#103C23×C3711yescharacteristic
1300#103C23×C3711yescharacteristic
1301#103C23×C3711yescharacteristic
1302#103C23×C3711yescharacteristic
1303#103C23×C3711yescharacteristic
1304#103C23×C3711yescharacteristic
1305#102C23×C3711yescharacteristic
1306#102C23×C3711yescharacteristic
1307#102C23×C3711yescharacteristic
1308#102C23×C3711yescharacteristic
1309#102C23×C3711yescharacteristic
1310#102C23×C3711yescharacteristic
1311#102C23×C3711yescharacteristic
1312#102C23×C3711yescharacteristic
1313#102C23×C3711yescharacteristic
1314#102C23×C3711yescharacteristic
1315#102C23×C3711yescharacteristic
1316#102C23×C3711yescharacteristic
1317#102C23×C3711yescharacteristic
1318#102C23×C3711yescharacteristic
1319#102C23×C3711yescharacteristic
1320#102C23×C3711yescharacteristic
1321C22⋊C8C23×C3711yescharacteristic
1322C22⋊C8C23×C3711yescharacteristic
1323C22⋊C8C23×C3711yescharacteristic
1324C22⋊C8C23×C3711yescharacteristic
1325C22⋊C8C23×C3711yescharacteristic
1326C22⋊C8C23×C3711yescharacteristic
1327#97C23×C3711yescharacteristic
1328#97C23×C3711yescharacteristic
1329#97C23×C3711yescharacteristic
1330#97C23×C3711yescharacteristic
1331#97C23×C3711yescharacteristic
1332#97C23×C3711yescharacteristic
1333C4×C8C23×C3711yescharacteristic
1334C4×C8C23×C3711yescharacteristic
1335C4×C8C23×C3711yescharacteristic
1336C4×C8C23×C3711yescharacteristic
1337C24—21no—
1338C24—21no—
1339#41—22no—
1340#41—22no—
1341#41—22no—
1342#41—22no—
1343#41—41no—
1344#41—41no—
1345#41—41no—
1346#41—41no—
1347#41—82no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—21no—
1351C2×Q8—21no—
1352C2×Q8—82no—
1353C2×Q8C2×D4×C3711yescharacteristic
1354C2×Q8C24×C3711yescharacteristic
1355C2×Q8C24×C3711yescharacteristic
1356C2×Q8C24×C3711yescharacteristic
1357C2×Q8C24×C3711yescharacteristic
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4C2×D4×C3711yescharacteristic
1373C2×D4C2×D4×C3711yescharacteristic
1374C2×D4C2×D4×C3711yescharacteristic
1375C2×D4C24×C3711yescharacteristic
1376C2×D4C24×C3711yescharacteristic
1377C2×D4C24×C3711yescharacteristic
1378C2×D4C24×C3711yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—82no—
1400C22×C4C2×D4×C3711yescharacteristic
1401C22×C4C2×D4×C3711yescharacteristic
1402C22×C4C24×C3711yescharacteristic
1403C22×C4C24×C3711yescharacteristic
1404C22×C4C24×C3711yescharacteristic
1405Q16—22no—
1406Q16—41no—
1407Q16—41no—
1408Q16—41no—
1409SD16—22no—
1410SD16—22no—
1411SD16—22no—
1412SD16—22no—
1413SD16—22no—
1414SD16—22no—
1415SD16—41no—
1416SD16—41no—
1417D8—22no—
1418D8—22no—
1419D8—41no—
1420D8#41×C3714yescomplemented
1421M16—22no—
1422M16—22no—
1423M16—41no—
1424M16—41no—
1425C2×C8—22no—
1426C2×C8—41no—
1427C2×C8C24×C3711yescharacteristic
1428C2×C8C24×C3711yescharacteristic
1429C2×C8C24×C3711yescharacteristic
1430C2×C8C24×C3711yescharacteristic
1431C2×C8C24×C3711yescharacteristic
1432C2×C8C24×C3711yescharacteristic
1433C2×C8C24×C3711yescharacteristic
1434C2×C8C24×C3711yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4C2×D4×C3711yescharacteristic
1468C4⋊C4C2×D4×C3711yescharacteristic
1469C4⋊C4C2×D4×C3711yescharacteristic
1470C4⋊C4C2×D4×C3711yescharacteristic
1471C4⋊C4C2×D4×C3711yescharacteristic
1472C4⋊C4C2×D4×C3711yescharacteristic
1473C4⋊C4C2×D4×C3711yescharacteristic
1474C4⋊C4C2×D4×C3711yescharacteristic
1475C4⋊C4C2×D4×C3711yescharacteristic
1476C4⋊C4C2×D4×C3711yescharacteristic
1477C4⋊C4C24×C3711yescharacteristic
1478C4⋊C4C24×C3711yescharacteristic
1479C4⋊C4C24×C3711yescharacteristic
1480C4⋊C4C24×C3711yescharacteristic
1481C4⋊C4C24×C3711yescharacteristic
1482C4⋊C4C24×C3711yescharacteristic
1483C4⋊C4C24×C3711yescharacteristic
1484C4⋊C4C24×C3711yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
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—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4C2×D4×C3711yescharacteristic
1520C22⋊C4C2×D4×C3711yescharacteristic
1521C22⋊C4C2×D4×C3711yescharacteristic
1522C22⋊C4C2×D4×C3711yescharacteristic
1523C22⋊C4C2×D4×C3711yescharacteristic
1524C22⋊C4C2×D4×C3711yescharacteristic
1525C22⋊C4C2×D4×C3711yescharacteristic
1526C22⋊C4C2×D4×C3711yescharacteristic
1527C22⋊C4C2×D4×C3711yescharacteristic
1528C22⋊C4C2×D4×C3711yescharacteristic
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42C2×D4×C3711yescharacteristic
1540C42C2×D4×C3711yescharacteristic
1541C42C24×C3711yescharacteristic
1542C42C24×C3711yescharacteristic
1543C42C24×C3711yescharacteristic
1544C42C24×C3711yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—42no—
1550C23—42no—
1551C23—42no—
1552C23—81no—
1553C23—81no—
1554C23—81no—
1555C23C22×D4×C3711yescharacteristic
1556C23C22×D4×C3711yescharacteristic
1557C23C22×D4×C3711yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—21no—
1566Q8—41no—
1567Q8—42no—
1568Q8—81no—
1569Q8—81no—
1570Q8—81no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—41no—
1578D4—41no—
1579D4—41no—
1580D4—42no—
1581D4—42no—
1582D4—42no—
1583D4—42no—
1584D4—42no—
1585D4—42no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4C2×#41×C3712yes—
1591D4C2×#41×C3712yes—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—42no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—42no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4C22×D4×C3711yescharacteristic
1633C2×C4C22×D4×C3711yescharacteristic
1634C2×C4C22×D4×C3711yescharacteristic
1635C2×C4C22×D4×C3711yescharacteristic
1636C2×C4C22×D4×C3711yescharacteristic
1637C2×C4C22×D4×C3711yescharacteristic
1638C2×C4C22×D4×C3711yescharacteristic
1639C2×C4C22×D4×C3711yescharacteristic
1640C2×C4C22×D4×C3711yescharacteristic
1641C2×C4C22×D4×C3711yescharacteristic
1642C2×C4C22×D4×C3711yescharacteristic
1643C2×C4C25×C3711yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8—21no—
1651C8C2×#41×C3712yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—22no—
1656C22—22no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—84no—
1674C22—162no—
1675C22C23×D4×C3711yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4C22×#41×C3711yescharacteristic
1700C4C37×#58511yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—41no—
1704C2—42no—
1705C2—42no—
1706C2—81no—
1707C2—81no—
1708C2D4×#41×C3711yescharacteristic
1709C2C37×#358511yescharacteristic
1710C2C37×#358611yescharacteristic
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×#3521C2semidirect
2. C37×#3520C2semidirect
3. C37×#3402C2semidirect
4. C37×#3384C2semidirect
5. C37×#3376C2semidirect
6. C37×#3367C2semidirect
7. C37×#3356C2semidirect
8. C37×#3346C2semidirect
9. C37×#3343C2semidirect
10. C37×#3331C2semidirect
11. C37×#3322C2semidirect
12. C37×#3315C2semidirect
13. C37×#3314C2semidirect
14. C37×#3311C2semidirect
15. C37×#3306C2semidirect
16. C37×#3273C2semidirect
17. C37×#3267C2semidirect
18. C37×#3267C2semidirect
19. C37×#3178C2semidirect
20. C37×#3173C2semidirect
21. C37×#3172C2semidirect
22. C37×#3125C2semidirect
23. C37×#3124C2semidirect
24. C37×#3120C2semidirect
25. C37×#3118C2semidirect
26. C37×#3116C2semidirect
27. C37×#3114C2semidirect
28. C37×#2967C2semidirect
29. C37×#2951C2semidirect
30. C37×#2946C2semidirect
31. C4×AGL(1,ℤ/8)×C37C2semidirect
36. C37×#556C22semidirect
37. C37×#556C22semidirect
39. C37×#554C22semidirect
40. C37×#554C22semidirect
45. C37×#552C22semidirect
50. D4×Q8×C37C22semidirect
57. C37×#546C22semidirect
58. C37×#546C22semidirect
60. C37×#542C22semidirect
61. C37×#542C22semidirect
62. C37×#541C22semidirect
67. C37×#533C22semidirect
75. C37×#520C22semidirect
76. C37×#520C22semidirect
77. C37×#518C22semidirect
79. C2×C4×D4×C37C22semidirect
80. C37×#501C22semidirect
81. C37×#501C22semidirect
82. C37×#498C22semidirect
83. C37×#497C22semidirect
84. C37×#497C22semidirect
86. C37×#491C22semidirect
87. C37×#489C22semidirect
88. C37×#489C22semidirect
89. C37×#489C22semidirect
90. C37×#488C22semidirect
91. C37×#487C22semidirect
92. C37×#485C22semidirect
93. C37×#485C22semidirect
94. C37×#485C22semidirect
95. C37×#484C22semidirect
96. C37×#484C22semidirect
97. C37×#483C22semidirect
98. C37×#483C22semidirect
99. C37×#483C22semidirect
101. C37×#481C22semidirect
103. C37×#480C22semidirect
104. C37×#479C22semidirect
105. C37×#478C22semidirect
106. C37×#478C22semidirect
107. C37×#478C22semidirect
108. C37×#477C22semidirect
109. C37×#477C22semidirect
110. C37×#476C22semidirect
111. C37×#476C22semidirect
112. C37×#476C22semidirect
113. C37×#475C22semidirect
114. C37×#474C22semidirect
115. C37×#474C22semidirect
116. C37×#470C22semidirect
117. C37×#470C22semidirect
118. C37×#470C22semidirect
119. C37×#470C22semidirect
124. C37×#467C22semidirect
126. C37×#465C22semidirect
127. C37×#465C22semidirect
128. C37×#464C22semidirect
129. C37×#464C22semidirect
136. C37×#462C22semidirect
137. C37×#462C22semidirect
138. C37×#461C22semidirect
139. C37×#461C22semidirect
144. C37×#452C22semidirect
145. C37×#452C22semidirect
146. C37×#450C22semidirect
147. C37×#450C22semidirect
152. C37×#446C22semidirect
153. C37×#446C22semidirect
159. C37×#441C22semidirect
160. C37×#441C22semidirect
161. C37×#440C22semidirect
162. C37×#440C22semidirect
163. C37×#440C22semidirect
164. C37×#440C22semidirect
165. C37×#440C22semidirect
166. C37×#440C22semidirect
167. C37×#440C22semidirect
168. C37×#440C22semidirect
169. C37×#440C22semidirect
170. C4×Q16×C37C22semidirect
171. C4×Q16×C37C22semidirect
172. C4×Q16×C37C22semidirect
173. C4×SD16×C37C22semidirect
174. C4×SD16×C37C22semidirect
175. C4×SD16×C37C22semidirect
176. C4×SD16×C37C22semidirect
177. C4×SD16×C37C22semidirect
183. C37×#436C22semidirect
185. C37×#435C22semidirect
186. C37×#435C22semidirect
187. C37×#435C22semidirect
188. C37×#433C22semidirect
189. C37×#433C22semidirect
190. C37×#432C22semidirect
191. C37×#428C22semidirect
192. C37×#428C22semidirect
193. C2×#107×C37C22semidirect
194. C37×#418C22semidirect
196. C37×#417C22semidirect
197. C37×#417C22semidirect
199. C2×#102×C37C22semidirect
200. C37×#405C22semidirect
201. C37×#405C22semidirect
202. C4×M16×C37C22semidirect
564. D8×C37#41semidirect
796. #61510C37direct (N × H)
846. #3521C2×C37semidirect
847. #3520C2×C37semidirect
848. #3402C2×C37semidirect
849. #3384C2×C37semidirect
850. #3376C2×C37semidirect
851. #3367C2×C37semidirect
852. #3356C2×C37semidirect
853. #3346C2×C37semidirect
854. #3343C2×C37semidirect
855. #3331C2×C37semidirect
856. #3322C2×C37semidirect
857. #3315C2×C37semidirect
858. #3314C2×C37semidirect
859. #3311C2×C37semidirect
860. #3306C2×C37semidirect
861. #3273C2×C37semidirect
862. #3267C2×C37semidirect
863. #3267C2×C37semidirect
864. #3178C2×C37semidirect
865. #3173C2×C37semidirect
866. #3172C2×C37semidirect
867. #3125C2×C37semidirect
868. #3124C2×C37semidirect
869. #3120C2×C37semidirect
870. #3118C2×C37semidirect
871. #3116C2×C37semidirect
872. #3114C2×C37semidirect
873. #2967C2×C37semidirect
874. #2951C2×C37semidirect
875. #2946C2×C37semidirect
876. C4×AGL(1,ℤ/8)C2×C37semidirect
891. #556C22×C37semidirect
892. #556C22×C37semidirect
894. #554C22×C37semidirect
895. #554C22×C37semidirect
900. #552C22×C37semidirect
905. D4×Q8C22×C37semidirect
912. #546C22×C37semidirect
913. #546C22×C37semidirect
915. #542C22×C37semidirect
916. #542C22×C37semidirect
917. #541C22×C37semidirect
922. #533C22×C37semidirect
930. #520C22×C37semidirect
931. #520C22×C37semidirect
932. #518C22×C37semidirect
934. C2×C4×D4C22×C37semidirect
935. #501C22×C37semidirect
936. #501C22×C37semidirect
937. #498C22×C37semidirect
938. #497C22×C37semidirect
939. #497C22×C37semidirect
941. #491C22×C37semidirect
942. #489C22×C37semidirect
943. #489C22×C37semidirect
944. #489C22×C37semidirect
945. #488C22×C37semidirect
946. #487C22×C37semidirect
947. #485C22×C37semidirect
948. #485C22×C37semidirect
949. #485C22×C37semidirect
950. #484C22×C37semidirect
951. #484C22×C37semidirect
952. #483C22×C37semidirect
953. #483C22×C37semidirect
954. #483C22×C37semidirect
956. #481C22×C37semidirect
958. #480C22×C37semidirect
959. #479C22×C37semidirect
960. #478C22×C37semidirect
961. #478C22×C37semidirect
962. #478C22×C37semidirect
963. #477C22×C37semidirect
964. #477C22×C37semidirect
965. #476C22×C37semidirect
966. #476C22×C37semidirect
967. #476C22×C37semidirect
968. #475C22×C37semidirect
969. #474C22×C37semidirect
970. #474C22×C37semidirect
971. #470C22×C37semidirect
972. #470C22×C37semidirect
973. #470C22×C37semidirect
974. #470C22×C37semidirect
979. #467C22×C37semidirect
981. #465C22×C37semidirect
982. #465C22×C37semidirect
983. #464C22×C37semidirect
984. #464C22×C37semidirect
991. #462C22×C37semidirect
992. #462C22×C37semidirect
993. #461C22×C37semidirect
994. #461C22×C37semidirect
999. #452C22×C37semidirect
1000. #452C22×C37semidirect
1001. #450C22×C37semidirect
1002. #450C22×C37semidirect
1007. #446C22×C37semidirect
1008. #446C22×C37semidirect
1014. #441C22×C37semidirect
1015. #441C22×C37semidirect
1016. #440C22×C37semidirect
1017. #440C22×C37semidirect
1018. #440C22×C37semidirect
1019. #440C22×C37semidirect
1020. #440C22×C37semidirect
1021. #440C22×C37semidirect
1022. #440C22×C37semidirect
1023. #440C22×C37semidirect
1024. #440C22×C37semidirect
1025. C4×Q16C22×C37semidirect
1026. C4×Q16C22×C37semidirect
1027. C4×Q16C22×C37semidirect
1028. C4×SD16C22×C37semidirect
1029. C4×SD16C22×C37semidirect
1030. C4×SD16C22×C37semidirect
1031. C4×SD16C22×C37semidirect
1032. C4×SD16C22×C37semidirect
1038. #436C22×C37semidirect
1040. #435C22×C37semidirect
1041. #435C22×C37semidirect
1042. #435C22×C37semidirect
1043. #433C22×C37semidirect
1044. #433C22×C37semidirect
1045. #432C22×C37semidirect
1046. #428C22×C37semidirect
1047. #428C22×C37semidirect
1048. C2×#107C22×C37semidirect
1049. #418C22×C37semidirect
1051. #417C22×C37semidirect
1052. #417C22×C37semidirect
1054. C2×#102C22×C37semidirect
1055. #405C22×C37semidirect
1056. #405C22×C37semidirect
1057. C4×M16C22×C37semidirect
1058. C37#61510direct (N × H)
1420. D8#41×C37semidirect

Maximal subgroups

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

subgroupindex
C37×#35212
C37×#35202
C37×#34022
C37×#33842
C37×#33762
C37×#33672
C37×#33562
C37×#33462
C37×#33432
C37×#33312
C37×#33222
C37×#33152
C37×#33142
C37×#33112
C37×#33062
C37×#32732
C37×#32672
C37×#31782
C37×#31732
C37×#31722
C37×#31252
C37×#31242
C37×#31202
C37×#31182
C37×#31162
C37×#31142
C37×#29672
C37×#29512
C37×#29462
C4×AGL(1,ℤ/8)×C372
#6151037