Finite Group Databasebeta

← C37×#61783 #22683036

Subgroups — C37×#61783 #22683036

Order 9472.

1802 conjugacy classes of subgroups.

The subgroup lattice has 1766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3542C211yesmaximal, characteristic, complemented
2C37×#3494C211yesmaximal, characteristic, complemented
3C37×#3355C211yesmaximal, characteristic, complemented
4C37×#3354C211yesmaximal, characteristic, complemented
5C37×#3354C211yesmaximal, characteristic, complemented
6C37×#3351C211yesmaximal, characteristic, complemented
7C37×#3348C211yesmaximal, characteristic, complemented
8C37×#3347C211yesmaximal, characteristic, complemented
9C37×#3345C211yesmaximal, characteristic, complemented
10C37×#3345C211yesmaximal, characteristic, complemented
11C37×#3332C211yesmaximal, characteristic, complemented
12C37×#3325C211yesmaximal, characteristic, complemented
13C37×#3322C211yesmaximal, characteristic, complemented
14C37×#3322C211yesmaximal, characteristic, complemented
15C37×#3319C211yesmaximal, characteristic, complemented
16C37×#3318C211yesmaximal, characteristic, complemented
17C37×#3309C211yesmaximal, characteristic, complemented
18C37×#3306C211yesmaximal, characteristic, complemented
19C37×#3244C211yesmaximal, characteristic, complemented
20C37×#3241C211yesmaximal, characteristic, complemented
21C37×#3199C211yesmaximal, characteristic, complemented
22C37×#3198C211yesmaximal, characteristic, complemented
23C37×#3194C211yesmaximal, characteristic, complemented
24C37×#3192C211yesmaximal, characteristic, complemented
25C37×#3122C211yesmaximal, characteristic, complemented
26C37×#3118C211yesmaximal, characteristic, complemented
27C37×#3099C211yesmaximal, characteristic, complemented
28C37×#3096C211yesmaximal, characteristic, complemented
29C37×#3094C211yesmaximal, characteristic, complemented
30C37×#3093C211yesmaximal, characteristic, complemented
31C37×#2978C211yesmaximal, characteristic, complemented
32C37×#562—21no—
33C37×#560—21no—
34C37×#555C2211yescharacteristic
35C37×#555C2211yescharacteristic, complemented
36C37×#555C2211yescharacteristic, complemented
37C37×#553C2211yescharacteristic
38C37×#553C2211yescharacteristic, complemented
39C37×#553C2211yescharacteristic, complemented
40C37×#553C2211yescharacteristic, complemented
41C37×#553C2211yescharacteristic, complemented
42C37×#552C2211yescharacteristic, complemented
43C37×#551—21no—
44C37×#551—21no—
45C37×#551—21no—
46C37×#550C2211yescharacteristic, complemented
47C37×#547C2211yescharacteristic, complemented
48C37×#547C2211yescharacteristic, complemented
49C37×#547C2211yescharacteristic, complemented
50C37×#546—21no—
51C37×#546—21no—
52C37×#546—21no—
53C37×#546C2211yescharacteristic, complemented
54C37×#546C2211yescharacteristic, complemented
55D42×C37C2211yescharacteristic, complemented
56C37×#544C2211yescharacteristic, complemented
57C37×#542—21no—
58C37×#542C2211yescharacteristic
59C37×#540—21no—
60C37×#540—21no—
61C37×#540C2211yescharacteristic
62C37×#538—21no—
63C37×#537C2211yescharacteristic
64C37×#535—21no—
65C37×#535C2211yescharacteristic
66C37×#535C2211yescharacteristic, complemented
67C37×#534—21no—
68C37×#532—21no—
69C37×#529—21no—
70C37×#525C2211yescharacteristic
71C37×#525C2211yescharacteristic
72C2×#121×C37C2211yescharacteristic
73C2×#121×C37C2211yescharacteristic, complemented
74C37×#520C2211yescharacteristic, complemented
75C37×#518C2211yescharacteristic, complemented
76C2×#117×C37C2211yescharacteristic, complemented
77C37×#501C2211yescharacteristic, complemented
78C37×#501C2211yescharacteristic, complemented
79C37×#499C2211yescharacteristic, complemented
80C37×#498C2211yescharacteristic, complemented
81C37×#490C2211yescharacteristic, complemented
82C37×#489C2211yescharacteristic, complemented
83C37×#488C2211yescharacteristic, complemented
84C37×#486C2211yescharacteristic, complemented
85C37×#485C2211yescharacteristic, complemented
86C37×#485C2211yescharacteristic, complemented
87C37×#485C2211yescharacteristic, complemented
88C37×#485C2211yescharacteristic, complemented
89C37×#485C2211yescharacteristic, complemented
90C37×#483C2211yescharacteristic, complemented
91C37×#483C2211yescharacteristic, complemented
92C37×#482C2211yescharacteristic
93C37×#482C2211yescharacteristic
94C37×#482C2211yescharacteristic, complemented
95C37×#482C2211yescharacteristic, complemented
96C37×#482C2211yescharacteristic, complemented
97C37×#482C2211yescharacteristic, complemented
98C37×#482C2211yescharacteristic, complemented
99C37×#482C2211yescharacteristic, complemented
100C37×#482C2211yescharacteristic, complemented
101C37×#482C2211yescharacteristic, complemented
102C37×#482C2211yescharacteristic, complemented
103C37×#482C2211yescharacteristic, complemented
104C37×#482C2211yescharacteristic, complemented
105C37×#482C2211yescharacteristic, complemented
106C37×#482C2211yescharacteristic, complemented
107C37×#481C2211yescharacteristic
108C37×#481C2211yescharacteristic, complemented
109C37×#481C2211yescharacteristic, complemented
110C37×#481C2211yescharacteristic, complemented
111C37×#481C2211yescharacteristic, complemented
112C37×#481C2211yescharacteristic, complemented
113C37×#481C2211yescharacteristic, complemented
114C37×#481C2211yescharacteristic, complemented
115C37×#481C2211yescharacteristic, complemented
116C37×#480C2211yescharacteristic, complemented
117C37×#480C2211yescharacteristic, complemented
118C37×#480C2211yescharacteristic, complemented
119C37×#480C2211yescharacteristic, complemented
120C37×#480C2211yescharacteristic, complemented
121C37×#479C2211yescharacteristic, complemented
122C37×#478C2211yescharacteristic, complemented
123C37×#478C2211yescharacteristic, complemented
124C37×#478C2211yescharacteristic, complemented
125C37×#478C2211yescharacteristic, complemented
126C37×#478C2211yescharacteristic, complemented
127C37×#476C2211yescharacteristic, complemented
128C37×#476C2211yescharacteristic, complemented
129C37×#476C2211yescharacteristic, complemented
130C37×#475C2211yescharacteristic, complemented
131C37×#474C2211yescharacteristic, complemented
132C37×#474C2211yescharacteristic, complemented
133C37×#469C2211yescharacteristic
134C37×#469C2211yescharacteristic
135C37×#469C2211yescharacteristic
136C37×#469C2211yescharacteristic
137C37×#469C2211yescharacteristic, complemented
138C37×#469C2211yescharacteristic, complemented
139C37×#469C2211yescharacteristic, complemented
140C37×#469C2211yescharacteristic, complemented
141C37×#469C2211yescharacteristic, complemented
142C37×#468C2211yescharacteristic, complemented
143C37×#468C2211yescharacteristic, complemented
144C37×#468C2211yescharacteristic, complemented
145C37×#466C2211yescharacteristic, complemented
146C37×#466C2211yescharacteristic, complemented
147C37×#466C2211yescharacteristic, complemented
148C37×#465C2211yescharacteristic, complemented
149C37×#463C2211yescharacteristic, complemented
150C37×#463C2211yescharacteristic, complemented
151C37×#459C2211yescharacteristic, complemented
152C37×#459C2211yescharacteristic, complemented
153C37×#450C2211yescharacteristic, complemented
154C37×#449C2211yescharacteristic, complemented
155C37×#449C2211yescharacteristic, complemented
156C37×#449C2211yescharacteristic, complemented
157C37×#449C2211yescharacteristic, complemented
158C37×#447C2211yescharacteristic
159C37×#447C2211yescharacteristic
160C37×#447C2211yescharacteristic
161C37×#447C2211yescharacteristic, complemented
162C37×#447C2211yescharacteristic, complemented
163C37×#447C2211yescharacteristic, complemented
164C37×#447C2211yescharacteristic, complemented
165C37×#442C2211yescharacteristic, complemented
166C37×#442C2211yescharacteristic, complemented
167C37×#442C2211yescharacteristic, complemented
168C37×#440C2211yescharacteristic, complemented
169C4×SD16×C37C2211yescharacteristic, complemented
170C4×D8×C37C2211yescharacteristic, complemented
171C4×D8×C37C2211yescharacteristic, complemented
172C4×D8×C37C2211yescharacteristic, complemented
173C37×#436C2211yescharacteristic, complemented
174C37×#436C2211yescharacteristic, complemented
175C37×#436C2211yescharacteristic, complemented
176C37×#436C2211yescharacteristic, complemented
177C37×#435C2211yescharacteristic, complemented
178C37×#435C2211yescharacteristic, complemented
179C37×#435C2211yescharacteristic, complemented
180C37×#435C2211yescharacteristic, complemented
181C37×#433C2211yescharacteristic, complemented
182C37×#433C2211yescharacteristic, complemented
183C37×#428C2211yescharacteristic, complemented
184C37×#428C2211yescharacteristic, complemented
185C37×#428C2211yescharacteristic, complemented
186C37×#428C2211yescharacteristic, complemented
187C37×#428C2211yescharacteristic, complemented
188C37×#428C2211yescharacteristic, complemented
189C37×#427C2211yescharacteristic, complemented
190C2×#106×C37C2211yescharacteristic, complemented
191C37×#418C2211yescharacteristic, complemented
192C37×#418C2211yescharacteristic, complemented
193C37×#418C2211yescharacteristic, complemented
194C37×#417C2211yescharacteristic, complemented
195C37×#417C2211yescharacteristic, complemented
196C37×#417C2211yescharacteristic, complemented
197C37×#416C2211yescharacteristic, complemented
198C2×#102×C37C2211yescharacteristic, complemented
199C37×#408C2211yescharacteristic, complemented
200C37×#408C2211yescharacteristic, complemented
201C37×#407C2211yescharacteristic, complemented
202C37×#407C2211yescharacteristic, complemented
203C2×#41×C37—21no—
204C2×#41×C37—21no—
205C2×#41×C37—21no—
206C2×#41×C37C2311yescharacteristic
207C2×#41×C37C2311yescharacteristic
208C2×#41×C37C2311yescharacteristic
209C22×D4×C37—21no—
210C22×D4×C37—21no—
211C22×D4×C37—21no—
212C22×D4×C37C2311yescharacteristic
213C22×D4×C37C2311yescharacteristic
214C22×D4×C37C2311yescharacteristic
215C23×C4×C37C2311yescharacteristic
216C2×SD16×C37C2311yescharacteristic
217C2×SD16×C37C2311yescharacteristic
218C2×D8×C37C2311yescharacteristic
219C2×D8×C37C2311yescharacteristic
220C2×D8×C37C2311yescharacteristic
221C2×D8×C37C2311yescharacteristic
222C2×D8×C37C2311yescharacteristic
223C2×D8×C37C2311yescharacteristic
224C2×M16×C37C2311yescharacteristic
225C2×M16×C37C2311yescharacteristic
226C2×M16×C37C2311yescharacteristic
227C2×M16×C37C2311yescharacteristic
228C2×M16×C37C2311yescharacteristic
229C2×M16×C37C2311yescharacteristic
230C22×C8×C37C2311yescharacteristic
231C22×C8×C37C2311yescharacteristic
232C4⋊Q8×C37—21no—
233C4⋊Q8×C37C2311yescharacteristic
234C4⋊Q8×C37C2311yescharacteristic
235C4⋊Q8×C37C2311yescharacteristic
236#127×C37—21no—
237#127×C37—21no—
238#127×C37—21no—
239#127×C37C2311yescharacteristic
240#126×C37—21no—
241#126×C37—21no—
242#126×C37—21no—
243#126×C37—21no—
244#126×C37—21no—
245#126×C37—21no—
246#126×C37—21no—
247#125×C37—21no—
248#125×C37—21no—
249#125×C37C2311yescharacteristic
250#125×C37C2311yescharacteristic
251#125×C37C2311yescharacteristic
252#124×C37—21no—
253#124×C37—21no—
254#124×C37—21no—
255#124×C37—21no—
256#124×C37—21no—
257#124×C37—21no—
258#124×C37—21no—
259#124×C37—21no—
260#124×C37—21no—
261#124×C37C2311yescharacteristic
262#123×C37—21no—
263#123×C37—21no—
264#123×C37—21no—
265#123×C37—21no—
266#123×C37—21no—
267#123×C37—21no—
268#123×C37—21no—
269#123×C37—21no—
270#123×C37—21no—
271#123×C37—21no—
272#123×C37—21no—
273#123×C37—21no—
274#123×C37—21no—
275#123×C37—21no—
276#123×C37—21no—
277#123×C37—21no—
278#123×C37—21no—
279#123×C37—21no—
280#123×C37D411yescharacteristic
281#123×C37D411yescharacteristic
282C22⋊Q8×C37—21no—
283C22⋊Q8×C37—21no—
284C22⋊Q8×C37—21no—
285C22⋊Q8×C37—21no—
286C22⋊Q8×C37—21no—
287C22⋊Q8×C37—21no—
288C22⋊Q8×C37—21no—
289C22⋊Q8×C37D411yescharacteristic
290C22⋊Q8×C37D411yescharacteristic
291C22⋊Q8×C37C2311yescharacteristic
292C22⋊Q8×C37C2311yescharacteristic
293C22⋊Q8×C37C2311yescharacteristic
294#121×C37—21no—
295#121×C37—21no—
296#121×C37—21no—
297#121×C37—21no—
298#121×C37—21no—
299#121×C37—21no—
300#121×C37—21no—
301#121×C37—21no—
302#121×C37—21no—
303#121×C37—21no—
304#121×C37—21no—
305#121×C37—21no—
306#121×C37—21no—
307#121×C37—21no—
308#121×C37—21no—
309#121×C37—21no—
310#121×C37—21no—
311#121×C37—21no—
312#121×C37—21no—
313#121×C37—21no—
314#121×C37—21no—
315#121×C37—21no—
316#121×C37D411yescharacteristic
317#121×C37D411yescharacteristic
318#121×C37C2311yescharacteristic
319#121×C37C2311yescharacteristic
320#121×C37C2311yescharacteristic
321#121×C37C2311yescharacteristic
322#121×C37C2311yescharacteristic
323#121×C37C2311yescharacteristic
324#121×C37C2311yescharacteristic
325#121×C37C2311yescharacteristic
326#121×C37C2311yescharacteristic
327#121×C37C2311yescharacteristic
328#121×C37C2311yescharacteristic
329#121×C37C2311yescharacteristic
330#121×C37C2311yescharacteristic
331#121×C37C2311yescharacteristic
332#121×C37C2311yescharacteristic
333#121×C37C2311yescharacteristic
334#121×C37C2311yescharacteristic
335#120×C37—21no—
336#120×C37—21no—
337#120×C37—21no—
338#120×C37—21no—
339#120×C37—21no—
340#120×C37—21no—
341#120×C37—21no—
342#120×C37—21no—
343#120×C37—21no—
344#120×C37D411yescharacteristic
345#120×C37D411yescharacteristic
346C4×Q8×C37—21no—
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×C37C2311yescharacteristic
362C4×D4×C37C2311yescharacteristic
363C4×D4×C37C2311yescharacteristic
364C4×D4×C37C2311yescharacteristic
365C4×D4×C37C2311yescharacteristic
366C4×D4×C37C2311yescharacteristic
367C4×D4×C37C2311yescharacteristic
368C4×D4×C37C2311yescharacteristic
369C4×D4×C37C2311yescharacteristic
370C4×D4×C37C2311yescharacteristic
371C4×D4×C37C2311yescharacteristic
372#117×C37—21no—
373#117×C37—21no—
374#117×C37—21no—
375#117×C37—21no—
376#117×C37—21no—
377#117×C37—21no—
378#117×C37C2311yescharacteristic
379#117×C37C2311yescharacteristic
380#117×C37C2311yescharacteristic
381#117×C37C2311yescharacteristic
382#117×C37C2311yescharacteristic
383#117×C37C2311yescharacteristic
384#117×C37C2311yescharacteristic
385#117×C37C2311yescharacteristic
386#117×C37C2311yescharacteristic
387C2×C4⋊C4×C37C2311yescharacteristic
388C2×C4⋊C4×C37C2311yescharacteristic
389C2×C4⋊C4×C37C2311yescharacteristic
390C2×C4⋊C4×C37C2311yescharacteristic
391C2×C4⋊C4×C37C2311yescharacteristic
392C2×C4⋊C4×C37C2311yescharacteristic
393C2×C4⋊C4×C37C2311yescharacteristic
394C2×C22⋊C4×C37—21no—
395C2×C22⋊C4×C37—21no—
396C2×C22⋊C4×C37—21no—
397C2×C22⋊C4×C37—21no—
398C2×C22⋊C4×C37—21no—
399C2×C22⋊C4×C37—21no—
400C2×C22⋊C4×C37—21no—
401C2×C42×C37—21no—
402#107×C37C2311yescharacteristic
403#107×C37C2311yescharacteristic
404#107×C37C2311yescharacteristic
405#107×C37C2311yescharacteristic
406#107×C37C2311yescharacteristic
407#107×C37C2311yescharacteristic
408#107×C37C2311yescharacteristic
409#107×C37C2311yescharacteristic
410#107×C37C2311yescharacteristic
411#107×C37C2311yescharacteristic
412#106×C37C2311yescharacteristic
413#106×C37C2311yescharacteristic
414#106×C37C2311yescharacteristic
415#106×C37C2311yescharacteristic
416#106×C37C2311yescharacteristic
417#106×C37C2311yescharacteristic
418#106×C37C2311yescharacteristic
419#106×C37C2311yescharacteristic
420#106×C37C2311yescharacteristic
421#106×C37C2311yescharacteristic
422#106×C37C2311yescharacteristic
423#106×C37C2311yescharacteristic
424#106×C37C2311yescharacteristic
425#106×C37C2311yescharacteristic
426C4⋊C8×C37C2311yescharacteristic
427C4⋊C8×C37C2311yescharacteristic
428C4⋊C8×C37C2311yescharacteristic
429C4⋊C8×C37C2311yescharacteristic
430#103×C37C2311yescharacteristic
431#103×C37C2311yescharacteristic
432#103×C37C2311yescharacteristic
433#103×C37C2311yescharacteristic
434#103×C37C2311yescharacteristic
435#103×C37C2311yescharacteristic
436#102×C37C2311yescharacteristic
437#102×C37C2311yescharacteristic
438#102×C37C2311yescharacteristic
439#102×C37C2311yescharacteristic
440#102×C37C2311yescharacteristic
441#102×C37C2311yescharacteristic
442#102×C37C2311yescharacteristic
443#102×C37C2311yescharacteristic
444#102×C37C2311yescharacteristic
445#102×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
462C22⋊C8×C37C2311yescharacteristic
463C22⋊C8×C37C2311yescharacteristic
464C22⋊C8×C37C2311yescharacteristic
465C22⋊C8×C37C2311yescharacteristic
466C22⋊C8×C37C2311yescharacteristic
467C22⋊C8×C37C2311yescharacteristic
468C22⋊C8×C37C2311yescharacteristic
469C22⋊C8×C37C2311yescharacteristic
470C22⋊C8×C37C2311yescharacteristic
471C22⋊C8×C37C2311yescharacteristic
472C22⋊C8×C37C2311yescharacteristic
473C22⋊C8×C37C2311yescharacteristic
474#97×C37C2311yescharacteristic
475#97×C37C2311yescharacteristic
476C4×C8×C37C2311yescharacteristic
477C4×C8×C37C2311yescharacteristic
478C24×C37—21no—
479C24×C37—21no—
480C24×C37—21no—
481C24×C37C2×D411yescharacteristic
482#41×C37—41no—
483#41×C37—41no—
484#41×C37—41no—
485#41×C37—41no—
486#41×C37—41no—
487#41×C37—41no—
488#41×C37—82no—
489#41×C37—82no—
490#41×C37—82no—
491C2×Q8×C37—21no—
492C2×Q8×C37—21no—
493C2×Q8×C37—21no—
494C2×Q8×C37C2×D411yescharacteristic
495C2×Q8×C37C2411yescharacteristic
496C2×D4×C37—21no—
497C2×D4×C37—21no—
498C2×D4×C37—21no—
499C2×D4×C37—21no—
500C2×D4×C37—21no—
501C2×D4×C37—21no—
502C2×D4×C37—21no—
503C2×D4×C37—21no—
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—41no—
521C2×D4×C37—41no—
522C2×D4×C37—41no—
523C2×D4×C37—41no—
524C2×D4×C37—41no—
525C2×D4×C37—41no—
526C2×D4×C37—82no—
527C2×D4×C37—82no—
528C2×D4×C37—82no—
529C2×D4×C37C2×D411yescharacteristic
530C2×D4×C37C2×D411yescharacteristic
531C2×D4×C37C2×D411yescharacteristic
532C2×D4×C37C2×D411yescharacteristic
533C2×D4×C37C2×D411yescharacteristic
534C2×D4×C37C2×D411yescharacteristic
535C2×D4×C37C2×D411yescharacteristic
536C2×D4×C37C2411yescharacteristic
537C2×D4×C37C2411yescharacteristic
538C2×D4×C37C2411yescharacteristic
539C2×D4×C37C2411yescharacteristic
540C2×D4×C37C2411yescharacteristic
541C22×C4×C37—21no—
542C22×C4×C37—21no—
543C22×C4×C37—21no—
544C22×C4×C37—21no—
545C22×C4×C37—21no—
546C22×C4×C37—21no—
547C22×C4×C37—21no—
548C22×C4×C37—21no—
549C22×C4×C37—21no—
550C22×C4×C37—21no—
551C22×C4×C37—21no—
552C22×C4×C37—21no—
553C22×C4×C37—21no—
554C22×C4×C37—21no—
555C22×C4×C37—21no—
556C22×C4×C37—21no—
557C22×C4×C37—41no—
558C22×C4×C37—41no—
559C22×C4×C37C2×D411yescharacteristic
560C22×C4×C37C2×D411yescharacteristic
561C22×C4×C37C2×D411yescharacteristic
562C22×C4×C37C2411yescharacteristic
563C22×C4×C37C2411yescharacteristic
564C22×C4×C37C2411yescharacteristic
565C22×C4×C37C2411yescharacteristic
566C22×C4×C37C2411yescharacteristic
567SD16×C37—41no—
568SD16×C37—41no—
569D8×C37—41no—
570D8×C37—41no—
571D8×C37—41no—
572D8×C37—41no—
573D8×C37—41no—
574D8×C37—41no—
575M16×C37—41no—
576M16×C37—41no—
577M16×C37—41no—
578M16×C37—41no—
579M16×C37—41no—
580M16×C37—41no—
581C2×C8×C37—41no—
582C2×C8×C37—41no—
583C2×C8×C37C2411yescharacteristic
584C2×C8×C37C2411yescharacteristic
585C2×C8×C37C2411yescharacteristic
586C2×C8×C37C2411yescharacteristic
587C2×C8×C37C2411yescharacteristic
588C2×C8×C37C2411yescharacteristic
589C2×C8×C37C2411yescharacteristic
590C2×C8×C37C2411yescharacteristic
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×C37C2411yescharacteristic
618C4⋊C4×C37C2411yescharacteristic
619C4⋊C4×C37C2411yescharacteristic
620C4⋊C4×C37C2411yescharacteristic
621C4⋊C4×C37C2411yescharacteristic
622C4⋊C4×C37C2411yescharacteristic
623C4⋊C4×C37C2411yescharacteristic
624C4⋊C4×C37C2411yescharacteristic
625C4⋊C4×C37C2411yescharacteristic
626C4⋊C4×C37C2411yescharacteristic
627C22⋊C4×C37—21no—
628C22⋊C4×C37—21no—
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×C37—21no—
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
673C22⋊C4×C37C2×D411yescharacteristic
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×C37C2411yescharacteristic
684C42×C37C2411yescharacteristic
685C23×C37—21no—
686C23×C37—21no—
687C23×C37—21no—
688C23×C37—21no—
689C23×C37—21no—
690C23×C37—41no—
691C23×C37—41no—
692C23×C37—41no—
693C23×C37—42no—
694C23×C37—42no—
695C23×C37—81no—
696C23×C37—81no—
697C23×C37—81no—
698C23×C37—81no—
699C23×C37—81no—
700C23×C37—81no—
701C23×C37—81no—
702C23×C37C22×D411yescharacteristic
703C23×C37C22×D411yescharacteristic
704C23×C37C22×D411yescharacteristic
705C23×C37C22×D411yescharacteristic
706C23×C37C22×D411yescharacteristic
707Q8×C37—21no—
708Q8×C37—21no—
709Q8×C37—41no—
710Q8×C37—81no—
711Q8×C37—81no—
712Q8×C37—81no—
713D4×C37—21no—
714D4×C37—21no—
715D4×C37—21no—
716D4×C37—21no—
717D4×C37—21no—
718D4×C37—21no—
719D4×C37—21no—
720D4×C37—21no—
721D4×C37—21no—
722D4×C37—21no—
723D4×C37—41no—
724D4×C37—41no—
725D4×C37—41no—
726D4×C37—41no—
727D4×C37—41no—
728D4×C37—41no—
729D4×C37—41no—
730D4×C37—42no—
731D4×C37—42no—
732D4×C37—42no—
733D4×C37—42no—
734D4×C37—81no—
735D4×C37—81no—
736D4×C37—81no—
737D4×C37—81no—
738D4×C37—81no—
739D4×C37—81no—
740D4×C37—81no—
741D4×C37—81no—
742D4×C37—81no—
743D4×C37—81no—
744D4×C37—81no—
745D4×C37—81no—
746D4×C37—81no—
747D4×C37—81no—
748D4×C37—81no—
749D4×C37—81no—
750D4×C37—81no—
751D4×C37—81no—
752D4×C37—81no—
753D4×C37—81no—
754C2×C4×C37—21no—
755C2×C4×C37—21no—
756C2×C4×C37—21no—
757C2×C4×C37—21no—
758C2×C4×C37—21no—
759C2×C4×C37—21no—
760C2×C4×C37—21no—
761C2×C4×C37—21no—
762C2×C4×C37—21no—
763C2×C4×C37—21no—
764C2×C4×C37—21no—
765C2×C4×C37—21no—
766C2×C4×C37—21no—
767C2×C4×C37—21no—
768C2×C4×C37—21no—
769C2×C4×C37—21no—
770C2×C4×C37—21no—
771C2×C4×C37—21no—
772C2×C4×C37—21no—
773C2×C4×C37—21no—
774C2×C4×C37—21no—
775C2×C4×C37—41no—
776C2×C4×C37—41no—
777C2×C4×C37—41no—
778C2×C4×C37—42no—
779C2×C4×C37—42no—
780C2×C4×C37—81no—
781C2×C4×C37—81no—
782C2×C4×C37—81no—
783C2×C4×C37—81no—
784C2×C4×C37—81no—
785C2×C4×C37—81no—
786C2×C4×C37—81no—
787C2×C4×C37—81no—
788C2×C4×C37—81no—
789C2×C4×C37—81no—
790C2×C4×C37—81no—
791C2×C4×C37—81no—
792C2×C4×C37—81no—
793C2×C4×C37—81no—
794C2×C4×C37C22×D411yescharacteristic
795C2×C4×C37C22×D411yescharacteristic
796C2×C4×C37C22×D411yescharacteristic
797C2×C4×C37C22×D411yescharacteristic
798C2×C4×C37C22×D411yescharacteristic
799C2×C4×C37C22×D411yescharacteristic
800C2×C4×C37C22×D411yescharacteristic
801C2×C4×C37C22×D411yescharacteristic
802C2×C4×C37C22×D411yescharacteristic
803C2×C4×C37C2511yescharacteristic
804C8×C37—21no—
805C8×C37—21no—
806C8×C37—21no—
807C8×C37—21no—
808C8×C37—21no—
809C8×C37—21no—
810C8×C37—21no—
811C8×C37—21no—
812#61783C3711yesmaximal, characteristic, direct product factor, Sylow
813C22×C37—21no—
814C22×C37—21no—
815C22×C37—21no—
816C22×C37—21no—
817C22×C37—21no—
818C22×C37—21no—
819C22×C37—21no—
820C22×C37—21no—
821C22×C37—21no—
822C22×C37—21no—
823C22×C37—21no—
824C22×C37—21no—
825C22×C37—21no—
826C22×C37—21no—
827C22×C37—21no—
828C22×C37—41no—
829C22×C37—41no—
830C22×C37—41no—
831C22×C37—41no—
832C22×C37—41no—
833C22×C37—41no—
834C22×C37—41no—
835C22×C37—41no—
836C22×C37—41no—
837C22×C37—41no—
838C22×C37—41no—
839C22×C37—41no—
840C22×C37—41no—
841C22×C37—41no—
842C22×C37—41no—
843C22×C37—82no—
844C22×C37—162no—
845C22×C37—162no—
846C22×C37—162no—
847C22×C37C23×D411yescharacteristic
848C4×C37—21no—
849C4×C37—21no—
850C4×C37—21no—
851C4×C37—21no—
852C4×C37—21no—
853C4×C37—21no—
854C4×C37—21no—
855C4×C37—21no—
856C4×C37—21no—
857C4×C37—41no—
858C4×C37—41no—
859C4×C37—41no—
860C4×C37—41no—
861C4×C37—41no—
862C4×C37—41no—
863C4×C37—41no—
864C4×C37—41no—
865C4×C37—41no—
866C4×C37—41no—
867C4×C37—41no—
868C4×C37#58511yescharacteristic
869C4×C37#58511yescharacteristic
870#3542C2×C3711yescharacteristic, complemented
871#3494C2×C3711yescharacteristic, complemented
872#3355C2×C3711yescharacteristic, complemented
873#3354C2×C3711yescharacteristic, complemented
874#3354C2×C3711yescharacteristic, complemented
875#3351C2×C3711yescharacteristic, complemented
876#3348C2×C3711yescharacteristic, complemented
877#3347C2×C3711yescharacteristic, complemented
878#3345C2×C3711yescharacteristic, complemented
879#3345C2×C3711yescharacteristic, complemented
880#3332C2×C3711yescharacteristic, complemented
881#3325C2×C3711yescharacteristic, complemented
882#3322C2×C3711yescharacteristic, complemented
883#3322C2×C3711yescharacteristic, complemented
884#3319C2×C3711yescharacteristic, complemented
885#3318C2×C3711yescharacteristic, complemented
886#3309C2×C3711yescharacteristic, complemented
887#3306C2×C3711yescharacteristic, complemented
888#3244C2×C3711yescharacteristic, complemented
889#3241C2×C3711yescharacteristic, complemented
890#3199C2×C3711yescharacteristic, complemented
891#3198C2×C3711yescharacteristic, complemented
892#3194C2×C3711yescharacteristic, complemented
893#3192C2×C3711yescharacteristic, complemented
894#3122C2×C3711yescharacteristic, complemented
895#3118C2×C3711yescharacteristic, complemented
896#3099C2×C3711yescharacteristic, complemented
897#3096C2×C3711yescharacteristic, complemented
898#3094C2×C3711yescharacteristic, complemented
899#3093C2×C3711yescharacteristic, complemented
900#2978C2×C3711yescharacteristic, complemented
901C2×C37—41no—
902C2×C37—41no—
903C2×C37—41no—
904C2×C37—41no—
905C2×C37—41no—
906C2×C37—81no—
907C2×C37—81no—
908C2×C37—81no—
909C2×C37—81no—
910C2×C37—81no—
911C2×C37#348511yescharacteristic
912C2×C37#358511yescharacteristic
913C2×C37#358511yescharacteristic
914#562—21no—
915#560—21no—
916#555C22×C3711yescharacteristic
917#555C22×C3711yescharacteristic, complemented
918#555C22×C3711yescharacteristic, complemented
919#553C22×C3711yescharacteristic
920#553C22×C3711yescharacteristic, complemented
921#553C22×C3711yescharacteristic, complemented
922#553C22×C3711yescharacteristic, complemented
923#553C22×C3711yescharacteristic, complemented
924#552C22×C3711yescharacteristic, complemented
925#551—21no—
926#551—21no—
927#551—21no—
928#550C22×C3711yescharacteristic, complemented
929#547C22×C3711yescharacteristic, complemented
930#547C22×C3711yescharacteristic, complemented
931#547C22×C3711yescharacteristic, complemented
932#546—21no—
933#546—21no—
934#546—21no—
935#546C22×C3711yescharacteristic, complemented
936#546C22×C3711yescharacteristic, complemented
937D42C22×C3711yescharacteristic, complemented
938#544C22×C3711yescharacteristic, complemented
939#542—21no—
940#542C22×C3711yescharacteristic
941#540—21no—
942#540—21no—
943#540C22×C3711yescharacteristic
944#538—21no—
945#537C22×C3711yescharacteristic
946#535—21no—
947#535C22×C3711yescharacteristic
948#535C22×C3711yescharacteristic, complemented
949#534—21no—
950#532—21no—
951#529—21no—
952#525C22×C3711yescharacteristic
953#525C22×C3711yescharacteristic
954C2×#121C22×C3711yescharacteristic
955C2×#121C22×C3711yescharacteristic, complemented
956#520C22×C3711yescharacteristic, complemented
957#518C22×C3711yescharacteristic, complemented
958C2×#117C22×C3711yescharacteristic, complemented
959#501C22×C3711yescharacteristic, complemented
960#501C22×C3711yescharacteristic, complemented
961#499C22×C3711yescharacteristic, complemented
962#498C22×C3711yescharacteristic, complemented
963#490C22×C3711yescharacteristic, complemented
964#489C22×C3711yescharacteristic, complemented
965#488C22×C3711yescharacteristic, complemented
966#486C22×C3711yescharacteristic, complemented
967#485C22×C3711yescharacteristic, complemented
968#485C22×C3711yescharacteristic, complemented
969#485C22×C3711yescharacteristic, complemented
970#485C22×C3711yescharacteristic, complemented
971#485C22×C3711yescharacteristic, complemented
972#483C22×C3711yescharacteristic, complemented
973#483C22×C3711yescharacteristic, complemented
974#482C22×C3711yescharacteristic
975#482C22×C3711yescharacteristic
976#482C22×C3711yescharacteristic, complemented
977#482C22×C3711yescharacteristic, complemented
978#482C22×C3711yescharacteristic, complemented
979#482C22×C3711yescharacteristic, complemented
980#482C22×C3711yescharacteristic, complemented
981#482C22×C3711yescharacteristic, complemented
982#482C22×C3711yescharacteristic, complemented
983#482C22×C3711yescharacteristic, complemented
984#482C22×C3711yescharacteristic, complemented
985#482C22×C3711yescharacteristic, complemented
986#482C22×C3711yescharacteristic, complemented
987#482C22×C3711yescharacteristic, complemented
988#482C22×C3711yescharacteristic, complemented
989#481C22×C3711yescharacteristic
990#481C22×C3711yescharacteristic, complemented
991#481C22×C3711yescharacteristic, complemented
992#481C22×C3711yescharacteristic, complemented
993#481C22×C3711yescharacteristic, complemented
994#481C22×C3711yescharacteristic, complemented
995#481C22×C3711yescharacteristic, complemented
996#481C22×C3711yescharacteristic, complemented
997#481C22×C3711yescharacteristic, complemented
998#480C22×C3711yescharacteristic, complemented
999#480C22×C3711yescharacteristic, complemented
1000#480C22×C3711yescharacteristic, complemented
1001#480C22×C3711yescharacteristic, complemented
1002#480C22×C3711yescharacteristic, complemented
1003#479C22×C3711yescharacteristic, complemented
1004#478C22×C3711yescharacteristic, complemented
1005#478C22×C3711yescharacteristic, complemented
1006#478C22×C3711yescharacteristic, complemented
1007#478C22×C3711yescharacteristic, complemented
1008#478C22×C3711yescharacteristic, complemented
1009#476C22×C3711yescharacteristic, complemented
1010#476C22×C3711yescharacteristic, complemented
1011#476C22×C3711yescharacteristic, complemented
1012#475C22×C3711yescharacteristic, complemented
1013#474C22×C3711yescharacteristic, complemented
1014#474C22×C3711yescharacteristic, complemented
1015#469C22×C3711yescharacteristic
1016#469C22×C3711yescharacteristic
1017#469C22×C3711yescharacteristic
1018#469C22×C3711yescharacteristic
1019#469C22×C3711yescharacteristic, complemented
1020#469C22×C3711yescharacteristic, complemented
1021#469C22×C3711yescharacteristic, complemented
1022#469C22×C3711yescharacteristic, complemented
1023#469C22×C3711yescharacteristic, complemented
1024#468C22×C3711yescharacteristic, complemented
1025#468C22×C3711yescharacteristic, complemented
1026#468C22×C3711yescharacteristic, complemented
1027#466C22×C3711yescharacteristic, complemented
1028#466C22×C3711yescharacteristic, complemented
1029#466C22×C3711yescharacteristic, complemented
1030#465C22×C3711yescharacteristic, complemented
1031#463C22×C3711yescharacteristic, complemented
1032#463C22×C3711yescharacteristic, complemented
1033#459C22×C3711yescharacteristic, complemented
1034#459C22×C3711yescharacteristic, complemented
1035#450C22×C3711yescharacteristic, complemented
1036#449C22×C3711yescharacteristic, complemented
1037#449C22×C3711yescharacteristic, complemented
1038#449C22×C3711yescharacteristic, complemented
1039#449C22×C3711yescharacteristic, complemented
1040#447C22×C3711yescharacteristic
1041#447C22×C3711yescharacteristic
1042#447C22×C3711yescharacteristic
1043#447C22×C3711yescharacteristic, complemented
1044#447C22×C3711yescharacteristic, complemented
1045#447C22×C3711yescharacteristic, complemented
1046#447C22×C3711yescharacteristic, complemented
1047#442C22×C3711yescharacteristic, complemented
1048#442C22×C3711yescharacteristic, complemented
1049#442C22×C3711yescharacteristic, complemented
1050#440C22×C3711yescharacteristic, complemented
1051C4×SD16C22×C3711yescharacteristic, complemented
1052C4×D8C22×C3711yescharacteristic, complemented
1053C4×D8C22×C3711yescharacteristic, complemented
1054C4×D8C22×C3711yescharacteristic, complemented
1055#436C22×C3711yescharacteristic, complemented
1056#436C22×C3711yescharacteristic, complemented
1057#436C22×C3711yescharacteristic, complemented
1058#436C22×C3711yescharacteristic, complemented
1059#435C22×C3711yescharacteristic, complemented
1060#435C22×C3711yescharacteristic, complemented
1061#435C22×C3711yescharacteristic, complemented
1062#435C22×C3711yescharacteristic, complemented
1063#433C22×C3711yescharacteristic, complemented
1064#433C22×C3711yescharacteristic, complemented
1065#428C22×C3711yescharacteristic, complemented
1066#428C22×C3711yescharacteristic, complemented
1067#428C22×C3711yescharacteristic, complemented
1068#428C22×C3711yescharacteristic, complemented
1069#428C22×C3711yescharacteristic, complemented
1070#428C22×C3711yescharacteristic, complemented
1071#427C22×C3711yescharacteristic, complemented
1072C2×#106C22×C3711yescharacteristic, complemented
1073#418C22×C3711yescharacteristic, complemented
1074#418C22×C3711yescharacteristic, complemented
1075#418C22×C3711yescharacteristic, complemented
1076#417C22×C3711yescharacteristic, complemented
1077#417C22×C3711yescharacteristic, complemented
1078#417C22×C3711yescharacteristic, complemented
1079#416C22×C3711yescharacteristic, complemented
1080C2×#102C22×C3711yescharacteristic, complemented
1081#408C22×C3711yescharacteristic, complemented
1082#408C22×C3711yescharacteristic, complemented
1083#407C22×C3711yescharacteristic, complemented
1084#407C22×C3711yescharacteristic, complemented
1085C37#6178311yescharacteristic, direct product factor, Sylow
1086C2×#41—21no—
1087C2×#41—21no—
1088C2×#41—21no—
1089C2×#41C23×C3711yescharacteristic
1090C2×#41C23×C3711yescharacteristic
1091C2×#41C23×C3711yescharacteristic
1092C22×D4—21no—
1093C22×D4—21no—
1094C22×D4—21no—
1095C22×D4C23×C3711yescharacteristic
1096C22×D4C23×C3711yescharacteristic
1097C22×D4C23×C3711yescharacteristic
1098C23×C4C23×C3711yescharacteristic
1099C2×SD16C23×C3711yescharacteristic
1100C2×SD16C23×C3711yescharacteristic
1101C2×D8C23×C3711yescharacteristic
1102C2×D8C23×C3711yescharacteristic
1103C2×D8C23×C3711yescharacteristic
1104C2×D8C23×C3711yescharacteristic
1105C2×D8C23×C3711yescharacteristic
1106C2×D8C23×C3711yescharacteristic
1107C2×M16C23×C3711yescharacteristic
1108C2×M16C23×C3711yescharacteristic
1109C2×M16C23×C3711yescharacteristic
1110C2×M16C23×C3711yescharacteristic
1111C2×M16C23×C3711yescharacteristic
1112C2×M16C23×C3711yescharacteristic
1113C22×C8C23×C3711yescharacteristic
1114C22×C8C23×C3711yescharacteristic
1115C4⋊Q8—21no—
1116C4⋊Q8C23×C3711yescharacteristic
1117C4⋊Q8C23×C3711yescharacteristic
1118C4⋊Q8C23×C3711yescharacteristic
1119#127—21no—
1120#127—21no—
1121#127—21no—
1122#127C23×C3711yescharacteristic
1123#126—21no—
1124#126—21no—
1125#126—21no—
1126#126—21no—
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#125—21no—
1131#125—21no—
1132#125C23×C3711yescharacteristic
1133#125C23×C3711yescharacteristic
1134#125C23×C3711yescharacteristic
1135#124—21no—
1136#124—21no—
1137#124—21no—
1138#124—21no—
1139#124—21no—
1140#124—21no—
1141#124—21no—
1142#124—21no—
1143#124—21no—
1144#124C23×C3711yescharacteristic
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123D4×C3711yescharacteristic
1164#123D4×C3711yescharacteristic
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8—21no—
1168C22⋊Q8—21no—
1169C22⋊Q8—21no—
1170C22⋊Q8—21no—
1171C22⋊Q8—21no—
1172C22⋊Q8D4×C3711yescharacteristic
1173C22⋊Q8D4×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#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—21no—
1190#121—21no—
1191#121—21no—
1192#121—21no—
1193#121—21no—
1194#121—21no—
1195#121—21no—
1196#121—21no—
1197#121—21no—
1198#121—21no—
1199#121D4×C3711yescharacteristic
1200#121D4×C3711yescharacteristic
1201#121C23×C3711yescharacteristic
1202#121C23×C3711yescharacteristic
1203#121C23×C3711yescharacteristic
1204#121C23×C3711yescharacteristic
1205#121C23×C3711yescharacteristic
1206#121C23×C3711yescharacteristic
1207#121C23×C3711yescharacteristic
1208#121C23×C3711yescharacteristic
1209#121C23×C3711yescharacteristic
1210#121C23×C3711yescharacteristic
1211#121C23×C3711yescharacteristic
1212#121C23×C3711yescharacteristic
1213#121C23×C3711yescharacteristic
1214#121C23×C3711yescharacteristic
1215#121C23×C3711yescharacteristic
1216#121C23×C3711yescharacteristic
1217#121C23×C3711yescharacteristic
1218#120—21no—
1219#120—21no—
1220#120—21no—
1221#120—21no—
1222#120—21no—
1223#120—21no—
1224#120—21no—
1225#120—21no—
1226#120—21no—
1227#120D4×C3711yescharacteristic
1228#120D4×C3711yescharacteristic
1229C4×Q8—21no—
1230C4×Q8C23×C3711yescharacteristic
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—21no—
1241C4×D4—21no—
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4C23×C3711yescharacteristic
1245C4×D4C23×C3711yescharacteristic
1246C4×D4C23×C3711yescharacteristic
1247C4×D4C23×C3711yescharacteristic
1248C4×D4C23×C3711yescharacteristic
1249C4×D4C23×C3711yescharacteristic
1250C4×D4C23×C3711yescharacteristic
1251C4×D4C23×C3711yescharacteristic
1252C4×D4C23×C3711yescharacteristic
1253C4×D4C23×C3711yescharacteristic
1254C4×D4C23×C3711yescharacteristic
1255#117—21no—
1256#117—21no—
1257#117—21no—
1258#117—21no—
1259#117—21no—
1260#117—21no—
1261#117C23×C3711yescharacteristic
1262#117C23×C3711yescharacteristic
1263#117C23×C3711yescharacteristic
1264#117C23×C3711yescharacteristic
1265#117C23×C3711yescharacteristic
1266#117C23×C3711yescharacteristic
1267#117C23×C3711yescharacteristic
1268#117C23×C3711yescharacteristic
1269#117C23×C3711yescharacteristic
1270C2×C4⋊C4C23×C3711yescharacteristic
1271C2×C4⋊C4C23×C3711yescharacteristic
1272C2×C4⋊C4C23×C3711yescharacteristic
1273C2×C4⋊C4C23×C3711yescharacteristic
1274C2×C4⋊C4C23×C3711yescharacteristic
1275C2×C4⋊C4C23×C3711yescharacteristic
1276C2×C4⋊C4C23×C3711yescharacteristic
1277C2×C22⋊C4—21no—
1278C2×C22⋊C4—21no—
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—21no—
1281C2×C22⋊C4—21no—
1282C2×C22⋊C4—21no—
1283C2×C22⋊C4—21no—
1284C2×C42—21no—
1285#107C23×C3711yescharacteristic
1286#107C23×C3711yescharacteristic
1287#107C23×C3711yescharacteristic
1288#107C23×C3711yescharacteristic
1289#107C23×C3711yescharacteristic
1290#107C23×C3711yescharacteristic
1291#107C23×C3711yescharacteristic
1292#107C23×C3711yescharacteristic
1293#107C23×C3711yescharacteristic
1294#107C23×C3711yescharacteristic
1295#106C23×C3711yescharacteristic
1296#106C23×C3711yescharacteristic
1297#106C23×C3711yescharacteristic
1298#106C23×C3711yescharacteristic
1299#106C23×C3711yescharacteristic
1300#106C23×C3711yescharacteristic
1301#106C23×C3711yescharacteristic
1302#106C23×C3711yescharacteristic
1303#106C23×C3711yescharacteristic
1304#106C23×C3711yescharacteristic
1305#106C23×C3711yescharacteristic
1306#106C23×C3711yescharacteristic
1307#106C23×C3711yescharacteristic
1308#106C23×C3711yescharacteristic
1309C4⋊C8C23×C3711yescharacteristic
1310C4⋊C8C23×C3711yescharacteristic
1311C4⋊C8C23×C3711yescharacteristic
1312C4⋊C8C23×C3711yescharacteristic
1313#103C23×C3711yescharacteristic
1314#103C23×C3711yescharacteristic
1315#103C23×C3711yescharacteristic
1316#103C23×C3711yescharacteristic
1317#103C23×C3711yescharacteristic
1318#103C23×C3711yescharacteristic
1319#102C23×C3711yescharacteristic
1320#102C23×C3711yescharacteristic
1321#102C23×C3711yescharacteristic
1322#102C23×C3711yescharacteristic
1323#102C23×C3711yescharacteristic
1324#102C23×C3711yescharacteristic
1325#102C23×C3711yescharacteristic
1326#102C23×C3711yescharacteristic
1327#102C23×C3711yescharacteristic
1328#102C23×C3711yescharacteristic
1329#102C23×C3711yescharacteristic
1330#102C23×C3711yescharacteristic
1331#102C23×C3711yescharacteristic
1332#102C23×C3711yescharacteristic
1333#102C23×C3711yescharacteristic
1334#102C23×C3711yescharacteristic
1335#102C23×C3711yescharacteristic
1336#102C23×C3711yescharacteristic
1337#102C23×C3711yescharacteristic
1338#102C23×C3711yescharacteristic
1339#102C23×C3711yescharacteristic
1340#102C23×C3711yescharacteristic
1341#102C23×C3711yescharacteristic
1342#102C23×C3711yescharacteristic
1343#102C23×C3711yescharacteristic
1344#102C23×C3711yescharacteristic
1345C22⋊C8C23×C3711yescharacteristic
1346C22⋊C8C23×C3711yescharacteristic
1347C22⋊C8C23×C3711yescharacteristic
1348C22⋊C8C23×C3711yescharacteristic
1349C22⋊C8C23×C3711yescharacteristic
1350C22⋊C8C23×C3711yescharacteristic
1351C22⋊C8C23×C3711yescharacteristic
1352C22⋊C8C23×C3711yescharacteristic
1353C22⋊C8C23×C3711yescharacteristic
1354C22⋊C8C23×C3711yescharacteristic
1355C22⋊C8C23×C3711yescharacteristic
1356C22⋊C8C23×C3711yescharacteristic
1357#97C23×C3711yescharacteristic
1358#97C23×C3711yescharacteristic
1359C4×C8C23×C3711yescharacteristic
1360C4×C8C23×C3711yescharacteristic
1361C24—21no—
1362C24—21no—
1363C24—21no—
1364C24C2×D4×C3711yescharacteristic
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—41no—
1369#41—41no—
1370#41—41no—
1371#41—82no—
1372#41—82no—
1373#41—82no—
1374C2×Q8—21no—
1375C2×Q8—21no—
1376C2×Q8—21no—
1377C2×Q8C2×D4×C3711yescharacteristic
1378C2×Q8C24×C3711yescharacteristic
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—82no—
1410C2×D4—82no—
1411C2×D4—82no—
1412C2×D4C2×D4×C3711yescharacteristic
1413C2×D4C2×D4×C3711yescharacteristic
1414C2×D4C2×D4×C3711yescharacteristic
1415C2×D4C2×D4×C3711yescharacteristic
1416C2×D4C2×D4×C3711yescharacteristic
1417C2×D4C2×D4×C3711yescharacteristic
1418C2×D4C2×D4×C3711yescharacteristic
1419C2×D4C24×C3711yescharacteristic
1420C2×D4C24×C3711yescharacteristic
1421C2×D4C24×C3711yescharacteristic
1422C2×D4C24×C3711yescharacteristic
1423C2×D4C24×C3711yescharacteristic
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—41no—
1441C22×C4—41no—
1442C22×C4C2×D4×C3711yescharacteristic
1443C22×C4C2×D4×C3711yescharacteristic
1444C22×C4C2×D4×C3711yescharacteristic
1445C22×C4C24×C3711yescharacteristic
1446C22×C4C24×C3711yescharacteristic
1447C22×C4C24×C3711yescharacteristic
1448C22×C4C24×C3711yescharacteristic
1449C22×C4C24×C3711yescharacteristic
1450SD16—41no—
1451SD16—41no—
1452D8—41no—
1453D8—41no—
1454D8—41no—
1455D8—41no—
1456D8—41no—
1457D8—41no—
1458M16—41no—
1459M16—41no—
1460M16—41no—
1461M16—41no—
1462M16—41no—
1463M16—41no—
1464C2×C8—41no—
1465C2×C8—41no—
1466C2×C8C24×C3711yescharacteristic
1467C2×C8C24×C3711yescharacteristic
1468C2×C8C24×C3711yescharacteristic
1469C2×C8C24×C3711yescharacteristic
1470C2×C8C24×C3711yescharacteristic
1471C2×C8C24×C3711yescharacteristic
1472C2×C8C24×C3711yescharacteristic
1473C2×C8C24×C3711yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4C2×D4×C3711yescharacteristic
1495C4⋊C4C2×D4×C3711yescharacteristic
1496C4⋊C4C2×D4×C3711yescharacteristic
1497C4⋊C4C2×D4×C3711yescharacteristic
1498C4⋊C4C2×D4×C3711yescharacteristic
1499C4⋊C4C2×D4×C3711yescharacteristic
1500C4⋊C4C24×C3711yescharacteristic
1501C4⋊C4C24×C3711yescharacteristic
1502C4⋊C4C24×C3711yescharacteristic
1503C4⋊C4C24×C3711yescharacteristic
1504C4⋊C4C24×C3711yescharacteristic
1505C4⋊C4C24×C3711yescharacteristic
1506C4⋊C4C24×C3711yescharacteristic
1507C4⋊C4C24×C3711yescharacteristic
1508C4⋊C4C24×C3711yescharacteristic
1509C4⋊C4C24×C3711yescharacteristic
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⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4C2×D4×C3711yescharacteristic
1548C22⋊C4C2×D4×C3711yescharacteristic
1549C22⋊C4C2×D4×C3711yescharacteristic
1550C22⋊C4C2×D4×C3711yescharacteristic
1551C22⋊C4C2×D4×C3711yescharacteristic
1552C22⋊C4C2×D4×C3711yescharacteristic
1553C22⋊C4C2×D4×C3711yescharacteristic
1554C22⋊C4C2×D4×C3711yescharacteristic
1555C22⋊C4C2×D4×C3711yescharacteristic
1556C22⋊C4C2×D4×C3711yescharacteristic
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42C24×C3711yescharacteristic
1567C42C24×C3711yescharacteristic
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—42no—
1577C23—42no—
1578C23—81no—
1579C23—81no—
1580C23—81no—
1581C23—81no—
1582C23—81no—
1583C23—81no—
1584C23—81no—
1585C23C22×D4×C3711yescharacteristic
1586C23C22×D4×C3711yescharacteristic
1587C23C22×D4×C3711yescharacteristic
1588C23C22×D4×C3711yescharacteristic
1589C23C22×D4×C3711yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—41no—
1593Q8—81no—
1594Q8—81no—
1595Q8—81no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—41no—
1607D4—41no—
1608D4—41no—
1609D4—41no—
1610D4—41no—
1611D4—41no—
1612D4—41no—
1613D4—42no—
1614D4—42no—
1615D4—42no—
1616D4—42no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—81no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—42no—
1662C2×C4—42no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4C22×D4×C3711yescharacteristic
1678C2×C4C22×D4×C3711yescharacteristic
1679C2×C4C22×D4×C3711yescharacteristic
1680C2×C4C22×D4×C3711yescharacteristic
1681C2×C4C22×D4×C3711yescharacteristic
1682C2×C4C22×D4×C3711yescharacteristic
1683C2×C4C22×D4×C3711yescharacteristic
1684C2×C4C22×D4×C3711yescharacteristic
1685C2×C4C22×D4×C3711yescharacteristic
1686C2×C4C25×C3711yescharacteristic
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—21no—
1694C8—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—21no—
1705C22—21no—
1706C22—21no—
1707C22—21no—
1708C22—21no—
1709C22—21no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—82no—
1726C22—162no—
1727C22—162no—
1728C22—162no—
1729C22C23×D4×C3711yescharacteristic
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4C37×#58511yescharacteristic
1751C4C37×#58511yescharacteristic
1752C2—41no—
1753C2—41no—
1754C2—41no—
1755C2—41no—
1756C2—41no—
1757C2—81no—
1758C2—81no—
1759C2—81no—
1760C2—81no—
1761C2—81no—
1762C2C37×#348511yescharacteristic
1763C2C37×#358511yescharacteristic
1764C2C37×#358511yescharacteristic
subgroupG/H
center, socleC22×C37C23×D4
commutator, Frattini, cosocleC2×C4C25×C37
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C37 ◁ C37×#525 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3542C2semidirect
2. C37×#3494C2semidirect
3. C37×#3355C2semidirect
4. C37×#3354C2semidirect
5. C37×#3354C2semidirect
6. C37×#3351C2semidirect
7. C37×#3348C2semidirect
8. C37×#3347C2semidirect
9. C37×#3345C2semidirect
10. C37×#3345C2semidirect
11. C37×#3332C2semidirect
12. C37×#3325C2semidirect
13. C37×#3322C2semidirect
14. C37×#3322C2semidirect
15. C37×#3319C2semidirect
16. C37×#3318C2semidirect
17. C37×#3309C2semidirect
18. C37×#3306C2semidirect
19. C37×#3244C2semidirect
20. C37×#3241C2semidirect
21. C37×#3199C2semidirect
22. C37×#3198C2semidirect
23. C37×#3194C2semidirect
24. C37×#3192C2semidirect
25. C37×#3122C2semidirect
26. C37×#3118C2semidirect
27. C37×#3099C2semidirect
28. C37×#3096C2semidirect
29. C37×#3094C2semidirect
30. C37×#3093C2semidirect
31. C37×#2978C2semidirect
35. C37×#555C22semidirect
36. C37×#555C22semidirect
38. C37×#553C22semidirect
39. C37×#553C22semidirect
40. C37×#553C22semidirect
41. C37×#553C22semidirect
42. C37×#552C22semidirect
46. C37×#550C22semidirect
47. C37×#547C22semidirect
48. C37×#547C22semidirect
49. C37×#547C22semidirect
53. C37×#546C22semidirect
54. C37×#546C22semidirect
55. D42×C37C22semidirect
56. C37×#544C22semidirect
66. C37×#535C22semidirect
73. C2×#121×C37C22semidirect
74. C37×#520C22semidirect
75. C37×#518C22semidirect
76. C2×#117×C37C22semidirect
77. C37×#501C22semidirect
78. C37×#501C22semidirect
79. C37×#499C22semidirect
80. C37×#498C22semidirect
81. C37×#490C22semidirect
82. C37×#489C22semidirect
83. C37×#488C22semidirect
84. C37×#486C22semidirect
85. C37×#485C22semidirect
86. C37×#485C22semidirect
87. C37×#485C22semidirect
88. C37×#485C22semidirect
89. C37×#485C22semidirect
90. C37×#483C22semidirect
91. C37×#483C22semidirect
94. C37×#482C22semidirect
95. C37×#482C22semidirect
96. C37×#482C22semidirect
97. C37×#482C22semidirect
98. C37×#482C22semidirect
99. C37×#482C22semidirect
100. C37×#482C22semidirect
101. C37×#482C22semidirect
102. C37×#482C22semidirect
103. C37×#482C22semidirect
104. C37×#482C22semidirect
105. C37×#482C22semidirect
106. C37×#482C22semidirect
108. C37×#481C22semidirect
109. C37×#481C22semidirect
110. C37×#481C22semidirect
111. C37×#481C22semidirect
112. C37×#481C22semidirect
113. C37×#481C22semidirect
114. C37×#481C22semidirect
115. C37×#481C22semidirect
116. C37×#480C22semidirect
117. C37×#480C22semidirect
118. C37×#480C22semidirect
119. C37×#480C22semidirect
120. C37×#480C22semidirect
121. C37×#479C22semidirect
122. C37×#478C22semidirect
123. C37×#478C22semidirect
124. C37×#478C22semidirect
125. C37×#478C22semidirect
126. C37×#478C22semidirect
127. C37×#476C22semidirect
128. C37×#476C22semidirect
129. C37×#476C22semidirect
130. C37×#475C22semidirect
131. C37×#474C22semidirect
132. C37×#474C22semidirect
137. C37×#469C22semidirect
138. C37×#469C22semidirect
139. C37×#469C22semidirect
140. C37×#469C22semidirect
141. C37×#469C22semidirect
142. C37×#468C22semidirect
143. C37×#468C22semidirect
144. C37×#468C22semidirect
145. C37×#466C22semidirect
146. C37×#466C22semidirect
147. C37×#466C22semidirect
148. C37×#465C22semidirect
149. C37×#463C22semidirect
150. C37×#463C22semidirect
151. C37×#459C22semidirect
152. C37×#459C22semidirect
153. C37×#450C22semidirect
154. C37×#449C22semidirect
155. C37×#449C22semidirect
156. C37×#449C22semidirect
157. C37×#449C22semidirect
161. C37×#447C22semidirect
162. C37×#447C22semidirect
163. C37×#447C22semidirect
164. C37×#447C22semidirect
165. C37×#442C22semidirect
166. C37×#442C22semidirect
167. C37×#442C22semidirect
168. C37×#440C22semidirect
169. C4×SD16×C37C22semidirect
170. C4×D8×C37C22semidirect
171. C4×D8×C37C22semidirect
172. C4×D8×C37C22semidirect
173. C37×#436C22semidirect
174. C37×#436C22semidirect
175. C37×#436C22semidirect
176. C37×#436C22semidirect
177. C37×#435C22semidirect
178. C37×#435C22semidirect
179. C37×#435C22semidirect
180. C37×#435C22semidirect
181. C37×#433C22semidirect
182. C37×#433C22semidirect
183. C37×#428C22semidirect
184. C37×#428C22semidirect
185. C37×#428C22semidirect
186. C37×#428C22semidirect
187. C37×#428C22semidirect
188. C37×#428C22semidirect
189. C37×#427C22semidirect
190. C2×#106×C37C22semidirect
191. C37×#418C22semidirect
192. C37×#418C22semidirect
193. C37×#418C22semidirect
194. C37×#417C22semidirect
195. C37×#417C22semidirect
196. C37×#417C22semidirect
197. C37×#416C22semidirect
198. C2×#102×C37C22semidirect
199. C37×#408C22semidirect
200. C37×#408C22semidirect
201. C37×#407C22semidirect
202. C37×#407C22semidirect
812. #61783C37direct (N × H)
870. #3542C2×C37semidirect
871. #3494C2×C37semidirect
872. #3355C2×C37semidirect
873. #3354C2×C37semidirect
874. #3354C2×C37semidirect
875. #3351C2×C37semidirect
876. #3348C2×C37semidirect
877. #3347C2×C37semidirect
878. #3345C2×C37semidirect
879. #3345C2×C37semidirect
880. #3332C2×C37semidirect
881. #3325C2×C37semidirect
882. #3322C2×C37semidirect
883. #3322C2×C37semidirect
884. #3319C2×C37semidirect
885. #3318C2×C37semidirect
886. #3309C2×C37semidirect
887. #3306C2×C37semidirect
888. #3244C2×C37semidirect
889. #3241C2×C37semidirect
890. #3199C2×C37semidirect
891. #3198C2×C37semidirect
892. #3194C2×C37semidirect
893. #3192C2×C37semidirect
894. #3122C2×C37semidirect
895. #3118C2×C37semidirect
896. #3099C2×C37semidirect
897. #3096C2×C37semidirect
898. #3094C2×C37semidirect
899. #3093C2×C37semidirect
900. #2978C2×C37semidirect
917. #555C22×C37semidirect
918. #555C22×C37semidirect
920. #553C22×C37semidirect
921. #553C22×C37semidirect
922. #553C22×C37semidirect
923. #553C22×C37semidirect
924. #552C22×C37semidirect
928. #550C22×C37semidirect
929. #547C22×C37semidirect
930. #547C22×C37semidirect
931. #547C22×C37semidirect
935. #546C22×C37semidirect
936. #546C22×C37semidirect
937. D42C22×C37semidirect
938. #544C22×C37semidirect
948. #535C22×C37semidirect
955. C2×#121C22×C37semidirect
956. #520C22×C37semidirect
957. #518C22×C37semidirect
958. C2×#117C22×C37semidirect
959. #501C22×C37semidirect
960. #501C22×C37semidirect
961. #499C22×C37semidirect
962. #498C22×C37semidirect
963. #490C22×C37semidirect
964. #489C22×C37semidirect
965. #488C22×C37semidirect
966. #486C22×C37semidirect
967. #485C22×C37semidirect
968. #485C22×C37semidirect
969. #485C22×C37semidirect
970. #485C22×C37semidirect
971. #485C22×C37semidirect
972. #483C22×C37semidirect
973. #483C22×C37semidirect
976. #482C22×C37semidirect
977. #482C22×C37semidirect
978. #482C22×C37semidirect
979. #482C22×C37semidirect
980. #482C22×C37semidirect
981. #482C22×C37semidirect
982. #482C22×C37semidirect
983. #482C22×C37semidirect
984. #482C22×C37semidirect
985. #482C22×C37semidirect
986. #482C22×C37semidirect
987. #482C22×C37semidirect
988. #482C22×C37semidirect
990. #481C22×C37semidirect
991. #481C22×C37semidirect
992. #481C22×C37semidirect
993. #481C22×C37semidirect
994. #481C22×C37semidirect
995. #481C22×C37semidirect
996. #481C22×C37semidirect
997. #481C22×C37semidirect
998. #480C22×C37semidirect
999. #480C22×C37semidirect
1000. #480C22×C37semidirect
1001. #480C22×C37semidirect
1002. #480C22×C37semidirect
1003. #479C22×C37semidirect
1004. #478C22×C37semidirect
1005. #478C22×C37semidirect
1006. #478C22×C37semidirect
1007. #478C22×C37semidirect
1008. #478C22×C37semidirect
1009. #476C22×C37semidirect
1010. #476C22×C37semidirect
1011. #476C22×C37semidirect
1012. #475C22×C37semidirect
1013. #474C22×C37semidirect
1014. #474C22×C37semidirect
1019. #469C22×C37semidirect
1020. #469C22×C37semidirect
1021. #469C22×C37semidirect
1022. #469C22×C37semidirect
1023. #469C22×C37semidirect
1024. #468C22×C37semidirect
1025. #468C22×C37semidirect
1026. #468C22×C37semidirect
1027. #466C22×C37semidirect
1028. #466C22×C37semidirect
1029. #466C22×C37semidirect
1030. #465C22×C37semidirect
1031. #463C22×C37semidirect
1032. #463C22×C37semidirect
1033. #459C22×C37semidirect
1034. #459C22×C37semidirect
1035. #450C22×C37semidirect
1036. #449C22×C37semidirect
1037. #449C22×C37semidirect
1038. #449C22×C37semidirect
1039. #449C22×C37semidirect
1043. #447C22×C37semidirect
1044. #447C22×C37semidirect
1045. #447C22×C37semidirect
1046. #447C22×C37semidirect
1047. #442C22×C37semidirect
1048. #442C22×C37semidirect
1049. #442C22×C37semidirect
1050. #440C22×C37semidirect
1051. C4×SD16C22×C37semidirect
1052. C4×D8C22×C37semidirect
1053. C4×D8C22×C37semidirect
1054. C4×D8C22×C37semidirect
1055. #436C22×C37semidirect
1056. #436C22×C37semidirect
1057. #436C22×C37semidirect
1058. #436C22×C37semidirect
1059. #435C22×C37semidirect
1060. #435C22×C37semidirect
1061. #435C22×C37semidirect
1062. #435C22×C37semidirect
1063. #433C22×C37semidirect
1064. #433C22×C37semidirect
1065. #428C22×C37semidirect
1066. #428C22×C37semidirect
1067. #428C22×C37semidirect
1068. #428C22×C37semidirect
1069. #428C22×C37semidirect
1070. #428C22×C37semidirect
1071. #427C22×C37semidirect
1072. C2×#106C22×C37semidirect
1073. #418C22×C37semidirect
1074. #418C22×C37semidirect
1075. #418C22×C37semidirect
1076. #417C22×C37semidirect
1077. #417C22×C37semidirect
1078. #417C22×C37semidirect
1079. #416C22×C37semidirect
1080. C2×#102C22×C37semidirect
1081. #408C22×C37semidirect
1082. #408C22×C37semidirect
1083. #407C22×C37semidirect
1084. #407C22×C37semidirect
1085. C37#61783direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35422
C37×#34942
C37×#33552
C37×#33542
C37×#33512
C37×#33482
C37×#33472
C37×#33452
C37×#33322
C37×#33252
C37×#33222
C37×#33192
C37×#33182
C37×#33092
C37×#33062
C37×#32442
C37×#32412
C37×#31992
C37×#31982
C37×#31942
C37×#31922
C37×#31222
C37×#31182
C37×#30992
C37×#30962
C37×#30942
C37×#30932
C37×#29782
#6178337