Finite Group Databasebeta

← C37×#61640 #22682893

Subgroups — C37×#61640 #22682893

Order 9472.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3541C211yesmaximal, characteristic, complemented
2C37×#3488C211yesmaximal, characteristic, complemented
3C37×#3318C211yesmaximal, characteristic, complemented
4C37×#3317C211yesmaximal, characteristic, complemented
5C37×#3316C211yesmaximal, characteristic, complemented
6C37×#3311C211yesmaximal, characteristic, complemented
7C37×#3304C211yesmaximal, characteristic, complemented
8C37×#3301C211yesmaximal, characteristic, complemented
9C37×#3296C211yesmaximal, characteristic, complemented
10C37×#3295C211yesmaximal, characteristic, complemented
11C37×#3285C211yesmaximal, characteristic, complemented
12C37×#3284C211yesmaximal, characteristic, complemented
13C37×#3282C211yesmaximal, characteristic, complemented
14D4×SD16×C37C211yesmaximal, characteristic, complemented
15C37×#3271C211yesmaximal, characteristic, complemented
16C37×#3270C211yesmaximal, characteristic, complemented
17C37×#3267C211yesmaximal, characteristic, complemented
18C37×#3265C211yesmaximal, characteristic, complemented
19C37×#3224C211yesmaximal, characteristic, complemented
20C37×#3222C211yesmaximal, characteristic, complemented
21C37×#3204C211yesmaximal, characteristic, complemented
22C37×#3201C211yesmaximal, characteristic, complemented
23C37×#3188C211yesmaximal, characteristic, complemented
24C37×#3187C211yesmaximal, characteristic, complemented
25C37×#3125C211yesmaximal, characteristic, complemented
26C37×#3120C211yesmaximal, characteristic, complemented
27C37×#3012C211yesmaximal, characteristic, complemented
28C37×#3009C211yesmaximal, characteristic, complemented
29C37×#3002C211yesmaximal, characteristic, complemented
30C2×C37×#452C211yesmaximal, characteristic, complemented
31C37×#2977C211yesmaximal, characteristic, complemented
32C2×H(5,𝔽2)×C37C2211yescharacteristic
33C22×#41×C37C2211yescharacteristic
34C2×#137×C37C2211yescharacteristic, complemented
35C2×AGL(1,ℤ/8)×C37C2211yescharacteristic, complemented
36C2×#135×C37C2211yescharacteristic, complemented
37C2×#135×C37C2211yescharacteristic, complemented
38C2×#135×C37C2211yescharacteristic, complemented
39C22×Q16×C37C2211yescharacteristic, complemented
40C22×SD16×C37C2211yescharacteristic, complemented
41C22×SD16×C37C2211yescharacteristic, complemented
42C37×#563—21no—
43C37×#562—21no—
44C37×#556C2211yescharacteristic, complemented
45C37×#554—21no—
46C37×#554C2211yescharacteristic, complemented
47C37×#553—21no—
48C37×#553C2211yescharacteristic, complemented
49C37×#552C2211yescharacteristic, complemented
50C37×#550C2211yescharacteristic
51C37×#550C2211yescharacteristic
52D4×Q8×C37C2211yescharacteristic, complemented
53C37×#548C2211yescharacteristic
54C37×#548C2211yescharacteristic
55C37×#548C2211yescharacteristic, complemented
56C37×#548C2211yescharacteristic, complemented
57C37×#547C2211yescharacteristic, complemented
58C37×#546—21no—
59C37×#546—21no—
60C37×#546C2211yescharacteristic
61C37×#546C2211yescharacteristic
62D42×C37—21no—
63D42×C37—21no—
64D42×C37C2211yescharacteristic
65D42×C37C2211yescharacteristic
66C37×#542—21no—
67C37×#542C2211yescharacteristic, complemented
68C37×#541C2211yescharacteristic, complemented
69C37×#539—21no—
70C37×#538—21no—
71C37×#538—21no—
72C37×#537—21no—
73C37×#537C2211yescharacteristic
74C37×#537C2211yescharacteristic, complemented
75C37×#536C2211yescharacteristic, complemented
76C37×#535—21no—
77C37×#535C2211yescharacteristic
78C37×#525—21no—
79C37×#525C2211yescharacteristic
80C37×#525C2211yescharacteristic, complemented
81C2×C22⋊Q8×C37C2211yescharacteristic, complemented
82C2×#121×C37—21no—
83C2×#121×C37C2211yescharacteristic
84C37×#520C2211yescharacteristic
85C37×#497C2211yescharacteristic, complemented
86C37×#496C2211yescharacteristic, complemented
87C37×#495C2211yescharacteristic, complemented
88C37×#492C2211yescharacteristic, complemented
89C37×#490C2211yescharacteristic, complemented
90C37×#489C2211yescharacteristic, complemented
91C37×#488C2211yescharacteristic, complemented
92C37×#486C2211yescharacteristic, complemented
93C37×#485C2211yescharacteristic, complemented
94C37×#484C2211yescharacteristic, complemented
95C37×#483C2211yescharacteristic, complemented
96C37×#483C2211yescharacteristic, complemented
97C37×#483C2211yescharacteristic, complemented
98C37×#482C2211yescharacteristic, complemented
99C37×#482C2211yescharacteristic, complemented
100C37×#482C2211yescharacteristic, complemented
101C37×#481C2211yescharacteristic, complemented
102C37×#481C2211yescharacteristic, complemented
103C37×#481C2211yescharacteristic, complemented
104C37×#481C2211yescharacteristic, complemented
105C37×#479C2211yescharacteristic, complemented
106C37×#478C2211yescharacteristic, complemented
107C37×#476C2211yescharacteristic, complemented
108C37×#475C2211yescharacteristic, complemented
109C37×#470C2211yescharacteristic, complemented
110C37×#470C2211yescharacteristic, complemented
111C37×#469C2211yescharacteristic, complemented
112C37×#468C2211yescharacteristic, complemented
113C37×#467C2211yescharacteristic, complemented
114C37×#466C2211yescharacteristic, complemented
115C37×#466C2211yescharacteristic, complemented
116C37×#465C2211yescharacteristic, complemented
117C37×#465C2211yescharacteristic, complemented
118C37×#465C2211yescharacteristic, complemented
119C37×#465C2211yescharacteristic, complemented
120C37×#465C2211yescharacteristic, complemented
121C37×#465C2211yescharacteristic, complemented
122C37×#465C2211yescharacteristic, complemented
123C37×#465C2211yescharacteristic, complemented
124C37×#465C2211yescharacteristic, complemented
125C37×#464C2211yescharacteristic, complemented
126C37×#464C2211yescharacteristic, complemented
127C37×#464C2211yescharacteristic, complemented
128C37×#464C2211yescharacteristic, complemented
129C37×#463C2211yescharacteristic, complemented
130C37×#463C2211yescharacteristic, complemented
131C37×#462C2211yescharacteristic, complemented
132C37×#461C2211yescharacteristic, complemented
133C37×#460C2211yescharacteristic, complemented
134C37×#460C2211yescharacteristic, complemented
135C37×#460C2211yescharacteristic, complemented
136C37×#459C2211yescharacteristic, complemented
137C37×#452C2211yescharacteristic
138C37×#452C2211yescharacteristic
139C37×#452C2211yescharacteristic
140C37×#452C2211yescharacteristic, complemented
141C37×#452C2211yescharacteristic, complemented
142C37×#452C2211yescharacteristic, complemented
143C37×#452C2211yescharacteristic, complemented
144C37×#452C2211yescharacteristic, complemented
145C37×#452C2211yescharacteristic, complemented
146C37×#452C2211yescharacteristic, complemented
147C37×#452C2211yescharacteristic, complemented
148C37×#452C2211yescharacteristic, complemented
149C37×#452C2211yescharacteristic, complemented
150C37×#452C2211yescharacteristic, complemented
151C37×#451C2211yescharacteristic, complemented
152C37×#451C2211yescharacteristic, complemented
153C37×#450C2211yescharacteristic, complemented
154C37×#450C2211yescharacteristic, complemented
155C37×#450C2211yescharacteristic, complemented
156C37×#450C2211yescharacteristic, complemented
157C37×#450C2211yescharacteristic, complemented
158C37×#450C2211yescharacteristic, complemented
159C37×#450C2211yescharacteristic, complemented
160C37×#449C2211yescharacteristic
161C37×#449C2211yescharacteristic, complemented
162C37×#449C2211yescharacteristic, complemented
163C37×#449C2211yescharacteristic, complemented
164C37×#449C2211yescharacteristic, complemented
165C37×#449C2211yescharacteristic, complemented
166C37×#448C2211yescharacteristic, complemented
167C37×#448C2211yescharacteristic, complemented
168C37×#448C2211yescharacteristic, complemented
169C37×#448C2211yescharacteristic, complemented
170C37×#447C2211yescharacteristic, complemented
171C37×#447C2211yescharacteristic, complemented
172C37×#447C2211yescharacteristic, complemented
173C37×#442C2211yescharacteristic, complemented
174C37×#441C2211yescharacteristic, complemented
175C37×#441C2211yescharacteristic, complemented
176C37×#440C2211yescharacteristic, complemented
177C4×Q16×C37C2211yescharacteristic, complemented
178C4×SD16×C37C2211yescharacteristic, complemented
179C4×SD16×C37C2211yescharacteristic, complemented
180C4×SD16×C37C2211yescharacteristic, complemented
181C37×#435C2211yescharacteristic, complemented
182C37×#435C2211yescharacteristic, complemented
183C37×#435C2211yescharacteristic, complemented
184C37×#435C2211yescharacteristic, complemented
185C8×D4×C37C2211yescharacteristic, complemented
186C8×D4×C37C2211yescharacteristic, complemented
187C8×D4×C37C2211yescharacteristic, complemented
188C8×D4×C37C2211yescharacteristic, complemented
189C37×#433C2211yescharacteristic, complemented
190C37×#433C2211yescharacteristic, complemented
191C37×#418C2211yescharacteristic, complemented
192C37×#417C2211yescharacteristic, complemented
193C37×#416C2211yescharacteristic, complemented
194C37×#416C2211yescharacteristic, complemented
195C37×#416C2211yescharacteristic, complemented
196C2×#103×C37C2211yescharacteristic, complemented
197C2×#102×C37C2211yescharacteristic, complemented
198C2×#102×C37C2211yescharacteristic, complemented
199C37×#408C2211yescharacteristic, complemented
200C37×#408C2211yescharacteristic, complemented
201C2×C22⋊C8×C37C2211yescharacteristic, complemented
202C2×C22⋊C8×C37C2211yescharacteristic, complemented
203H(5,𝔽2)×C37—42no—
204H(5,𝔽2)×C37—42no—
205C2×#41×C37—21no—
206C2×#41×C37—21no—
207C2×#41×C37—21no—
208C2×#41×C37—42no—
209C2×#41×C37—42no—
210C2×#41×C37C2311yescharacteristic
211C2×#41×C37C2311yescharacteristic
212C2×#41×C37C2311yescharacteristic
213C2×#41×C37C2311yescharacteristic
214C2×#41×C37C2311yescharacteristic
215C2×#41×C37C2311yescharacteristic
216C2×#41×C37C2311yescharacteristic
217C2×#41×C37C2311yescharacteristic
218C2×#41×C37C2311yescharacteristic
219C22×Q8×C37C2311yescharacteristic
220C22×Q8×C37C2311yescharacteristic
221C22×Q8×C37C2311yescharacteristic
222C22×D4×C37—21no—
223C22×D4×C37—21no—
224C22×D4×C37—21no—
225C22×D4×C37—21no—
226C22×D4×C37—21no—
227C22×D4×C37—21no—
228C22×D4×C37—21no—
229C22×D4×C37C2311yescharacteristic
230C22×D4×C37C2311yescharacteristic
231C22×D4×C37C2311yescharacteristic
232C22×D4×C37C2311yescharacteristic
233C23×C4×C37—21no—
234C23×C4×C37C2311yescharacteristic
235#137×C37—42no—
236AGL(1,ℤ/8)×C37—42no—
237#135×C37—42no—
238#135×C37—42no—
239#135×C37—42no—
240C2×Q16×C37—42no—
241C2×Q16×C37C2311yescharacteristic
242C2×Q16×C37C2311yescharacteristic
243C2×Q16×C37C2311yescharacteristic
244C2×Q16×C37C2311yescharacteristic
245C2×Q16×C37C2311yescharacteristic
246C2×Q16×C37C2311yescharacteristic
247C2×SD16×C37—42no—
248C2×SD16×C37—42no—
249C2×SD16×C37C2311yescharacteristic
250C2×SD16×C37C2311yescharacteristic
251C2×SD16×C37C2311yescharacteristic
252C2×SD16×C37C2311yescharacteristic
253C2×SD16×C37C2311yescharacteristic
254C2×SD16×C37C2311yescharacteristic
255C2×SD16×C37C2311yescharacteristic
256C2×SD16×C37C2311yescharacteristic
257C2×SD16×C37C2311yescharacteristic
258C2×SD16×C37C2311yescharacteristic
259C2×SD16×C37C2311yescharacteristic
260C2×SD16×C37C2311yescharacteristic
261C2×SD16×C37C2311yescharacteristic
262C2×SD16×C37C2311yescharacteristic
263C2×D8×C37C2311yescharacteristic
264C2×D8×C37C2311yescharacteristic
265C2×D8×C37C2311yescharacteristic
266C2×D8×C37C2311yescharacteristic
267C2×M16×C37C2311yescharacteristic
268C2×M16×C37C2311yescharacteristic
269C22×C8×C37C2311yescharacteristic
270C22×C8×C37C2311yescharacteristic
271C22×C8×C37C2311yescharacteristic
272C22×C8×C37C2311yescharacteristic
273C22×C8×C37C2311yescharacteristic
274C22×C8×C37C2311yescharacteristic
275C4⋊Q8×C37—21no—
276C4⋊Q8×C37—21no—
277C4⋊Q8×C37C2311yescharacteristic
278C4⋊Q8×C37C2311yescharacteristic
279#127×C37—21no—
280#127×C37—21no—
281#127×C37C2311yescharacteristic
282#127×C37C2311yescharacteristic
283#126×C37—21no—
284#126×C37—21no—
285#126×C37—21no—
286#126×C37—21no—
287#126×C37—21no—
288#126×C37—21no—
289#126×C37—21no—
290#125×C37—21no—
291#125×C37—21no—
292#125×C37—21no—
293#125×C37—21no—
294#125×C37C2311yescharacteristic
295#124×C37—21no—
296#124×C37—21no—
297#124×C37—21no—
298#124×C37—21no—
299#124×C37—21no—
300#124×C37—21no—
301#124×C37—21no—
302#124×C37C2311yescharacteristic
303#124×C37C2311yescharacteristic
304#124×C37C2311yescharacteristic
305#123×C37—21no—
306#123×C37—21no—
307#123×C37—21no—
308#123×C37—21no—
309#123×C37—21no—
310#123×C37—21no—
311#123×C37—21no—
312#123×C37—21no—
313#123×C37—21no—
314#123×C37—21no—
315#123×C37D411yescharacteristic
316#123×C37D411yescharacteristic
317C22⋊Q8×C37—21no—
318C22⋊Q8×C37—21no—
319C22⋊Q8×C37—21no—
320C22⋊Q8×C37—21no—
321C22⋊Q8×C37—21no—
322C22⋊Q8×C37—21no—
323C22⋊Q8×C37—21no—
324C22⋊Q8×C37—21no—
325C22⋊Q8×C37—21no—
326C22⋊Q8×C37—21no—
327C22⋊Q8×C37—21no—
328C22⋊Q8×C37—21no—
329C22⋊Q8×C37—21no—
330C22⋊Q8×C37D411yescharacteristic
331C22⋊Q8×C37D411yescharacteristic
332C22⋊Q8×C37C2311yescharacteristic
333C22⋊Q8×C37C2311yescharacteristic
334C22⋊Q8×C37C2311yescharacteristic
335C22⋊Q8×C37C2311yescharacteristic
336C22⋊Q8×C37C2311yescharacteristic
337C22⋊Q8×C37C2311yescharacteristic
338C22⋊Q8×C37C2311yescharacteristic
339C22⋊Q8×C37C2311yescharacteristic
340C22⋊Q8×C37C2311yescharacteristic
341C22⋊Q8×C37C2311yescharacteristic
342C22⋊Q8×C37C2311yescharacteristic
343#121×C37—21no—
344#121×C37—21no—
345#121×C37—21no—
346#121×C37—21no—
347#121×C37—21no—
348#121×C37—21no—
349#121×C37—21no—
350#121×C37—21no—
351#121×C37—21no—
352#121×C37—21no—
353#121×C37—21no—
354#121×C37—21no—
355#121×C37—21no—
356#121×C37—21no—
357#121×C37—21no—
358#121×C37—21no—
359#121×C37—21no—
360#121×C37—21no—
361#121×C37—21no—
362#121×C37—21no—
363#121×C37—21no—
364#121×C37—21no—
365#121×C37—21no—
366#121×C37—21no—
367#121×C37D411yescharacteristic
368#121×C37D411yescharacteristic
369#121×C37C2311yescharacteristic
370#121×C37C2311yescharacteristic
371#121×C37C2311yescharacteristic
372#121×C37C2311yescharacteristic
373#121×C37C2311yescharacteristic
374#121×C37C2311yescharacteristic
375#121×C37C2311yescharacteristic
376#121×C37C2311yescharacteristic
377#121×C37C2311yescharacteristic
378#120×C37—21no—
379#120×C37—21no—
380#120×C37—21no—
381#120×C37—21no—
382#120×C37—21no—
383#120×C37—21no—
384#120×C37—21no—
385#120×C37—21no—
386#120×C37—21no—
387#120×C37D411yescharacteristic
388#120×C37D411yescharacteristic
389C4×Q8×C37—21no—
390C4×Q8×C37C2311yescharacteristic
391C4×Q8×C37C2311yescharacteristic
392C4×Q8×C37C2311yescharacteristic
393C4×Q8×C37C2311yescharacteristic
394C4×Q8×C37C2311yescharacteristic
395C4×D4×C37—21no—
396C4×D4×C37—21no—
397C4×D4×C37—21no—
398C4×D4×C37—21no—
399C4×D4×C37—21no—
400C4×D4×C37—21no—
401C4×D4×C37—21no—
402C4×D4×C37—21no—
403C4×D4×C37—21no—
404C4×D4×C37—21no—
405C4×D4×C37—21no—
406C4×D4×C37—21no—
407C4×D4×C37—21no—
408C4×D4×C37C2311yescharacteristic
409C4×D4×C37C2311yescharacteristic
410C4×D4×C37C2311yescharacteristic
411C4×D4×C37C2311yescharacteristic
412C4×D4×C37C2311yescharacteristic
413C4×D4×C37C2311yescharacteristic
414C4×D4×C37C2311yescharacteristic
415#117×C37—21no—
416#117×C37—21no—
417#117×C37C2311yescharacteristic
418#117×C37C2311yescharacteristic
419#117×C37C2311yescharacteristic
420C2×C4⋊C4×C37—21no—
421C2×C4⋊C4×C37—21no—
422C2×C4⋊C4×C37—21no—
423C2×C4⋊C4×C37C2311yescharacteristic
424C2×C4⋊C4×C37C2311yescharacteristic
425C2×C4⋊C4×C37C2311yescharacteristic
426C2×C22⋊C4×C37—21no—
427C2×C22⋊C4×C37—21no—
428C2×C22⋊C4×C37—21no—
429C2×C22⋊C4×C37—21no—
430#107×C37C2311yescharacteristic
431#107×C37C2311yescharacteristic
432#106×C37C2311yescharacteristic
433#106×C37C2311yescharacteristic
434#106×C37C2311yescharacteristic
435#106×C37C2311yescharacteristic
436#106×C37C2311yescharacteristic
437#106×C37C2311yescharacteristic
438C4⋊C8×C37C2311yescharacteristic
439C4⋊C8×C37C2311yescharacteristic
440C4⋊C8×C37C2311yescharacteristic
441C4⋊C8×C37C2311yescharacteristic
442#103×C37C2311yescharacteristic
443#103×C37C2311yescharacteristic
444#103×C37C2311yescharacteristic
445#103×C37C2311yescharacteristic
446#103×C37C2311yescharacteristic
447#103×C37C2311yescharacteristic
448#103×C37C2311yescharacteristic
449#103×C37C2311yescharacteristic
450#103×C37C2311yescharacteristic
451#103×C37C2311yescharacteristic
452#103×C37C2311yescharacteristic
453#103×C37C2311yescharacteristic
454#103×C37C2311yescharacteristic
455#103×C37C2311yescharacteristic
456#102×C37C2311yescharacteristic
457#102×C37C2311yescharacteristic
458#102×C37C2311yescharacteristic
459#102×C37C2311yescharacteristic
460#102×C37C2311yescharacteristic
461#102×C37C2311yescharacteristic
462#102×C37C2311yescharacteristic
463#102×C37C2311yescharacteristic
464#102×C37C2311yescharacteristic
465#102×C37C2311yescharacteristic
466#102×C37C2311yescharacteristic
467#102×C37C2311yescharacteristic
468#102×C37C2311yescharacteristic
469#102×C37C2311yescharacteristic
470#102×C37C2311yescharacteristic
471#102×C37C2311yescharacteristic
472#102×C37C2311yescharacteristic
473#102×C37C2311yescharacteristic
474C22⋊C8×C37C2311yescharacteristic
475C22⋊C8×C37C2311yescharacteristic
476C22⋊C8×C37C2311yescharacteristic
477C22⋊C8×C37C2311yescharacteristic
478C22⋊C8×C37C2311yescharacteristic
479C22⋊C8×C37C2311yescharacteristic
480C22⋊C8×C37C2311yescharacteristic
481C22⋊C8×C37C2311yescharacteristic
482C22⋊C8×C37C2311yescharacteristic
483C22⋊C8×C37C2311yescharacteristic
484C22⋊C8×C37C2311yescharacteristic
485C22⋊C8×C37C2311yescharacteristic
486#97×C37C2311yescharacteristic
487#97×C37C2311yescharacteristic
488C4×C8×C37C2311yescharacteristic
489C4×C8×C37C2311yescharacteristic
490C24×C37—21no—
491C24×C37—21no—
492C24×C37—21no—
493C24×C37—21no—
494C24×C37C2×D411yescharacteristic
495#41×C37—22no—
496#41×C37—22no—
497#41×C37—22no—
498#41×C37—22no—
499#41×C37—22no—
500#41×C37—22no—
501#41×C37—41no—
502#41×C37—41no—
503#41×C37—41no—
504#41×C37—41no—
505#41×C37—41no—
506#41×C37—41no—
507#41×C37—41no—
508#41×C37—41no—
509#41×C37—44no—
510#41×C37—44no—
511#41×C37—41no—
512#41×C37—41no—
513#41×C37—41no—
514#41×C37—41no—
515#41×C37—44no—
516C2×Q8×C37—21no—
517C2×Q8×C37—21no—
518C2×Q8×C37—21no—
519C2×Q8×C37—21no—
520C2×Q8×C37—22no—
521C2×Q8×C37—41no—
522C2×Q8×C37—41no—
523C2×Q8×C37—41no—
524C2×Q8×C37—41no—
525C2×Q8×C37—41no—
526C2×Q8×C37C2×D411yescharacteristic
527C2×Q8×C37C2411yescharacteristic
528C2×Q8×C37C2411yescharacteristic
529C2×Q8×C37C2411yescharacteristic
530C2×Q8×C37C2411yescharacteristic
531C2×Q8×C37C2411yescharacteristic
532C2×D4×C37—21no—
533C2×D4×C37—22no—
534C2×D4×C37—22no—
535C2×D4×C37—22no—
536C2×D4×C37—21no—
537C2×D4×C37—21no—
538C2×D4×C37—21no—
539C2×D4×C37—21no—
540C2×D4×C37—21no—
541C2×D4×C37—21no—
542C2×D4×C37—21no—
543C2×D4×C37—21no—
544C2×D4×C37—21no—
545C2×D4×C37—21no—
546C2×D4×C37—21no—
547C2×D4×C37—21no—
548C2×D4×C37—21no—
549C2×D4×C37—21no—
550C2×D4×C37—21no—
551C2×D4×C37—21no—
552C2×D4×C37—21no—
553C2×D4×C37—21no—
554C2×D4×C37—21no—
555C2×D4×C37—21no—
556C2×D4×C37—21no—
557C2×D4×C37—21no—
558C2×D4×C37—21no—
559C2×D4×C37—21no—
560C2×D4×C37—41no—
561C2×D4×C37—41no—
562C2×D4×C37—41no—
563C2×D4×C37—41no—
564C2×D4×C37—41no—
565C2×D4×C37—44no—
566C2×D4×C37—44no—
567C2×D4×C37—44no—
568C2×D4×C37—44no—
569C2×D4×C37—82no—
570C2×D4×C37—82no—
571C2×D4×C37—82no—
572C2×D4×C37C2×D411yescharacteristic
573C2×D4×C37C2×D411yescharacteristic
574C2×D4×C37C2×D411yescharacteristic
575C2×D4×C37C2×D411yescharacteristic
576C2×D4×C37C2×D411yescharacteristic
577C2×D4×C37C2×D411yescharacteristic
578C2×D4×C37C2×D411yescharacteristic
579C2×D4×C37C2411yescharacteristic
580C2×D4×C37C2411yescharacteristic
581C2×D4×C37C2411yescharacteristic
582C2×D4×C37C2411yescharacteristic
583C2×D4×C37C2411yescharacteristic
584C22×C4×C37—21no—
585C22×C4×C37—21no—
586C22×C4×C37—21no—
587C22×C4×C37—21no—
588C22×C4×C37—21no—
589C22×C4×C37—21no—
590C22×C4×C37—21no—
591C22×C4×C37—21no—
592C22×C4×C37—21no—
593C22×C4×C37—21no—
594C22×C4×C37—21no—
595C22×C4×C37—21no—
596C22×C4×C37—21no—
597C22×C4×C37—21no—
598C22×C4×C37—21no—
599C22×C4×C37—21no—
600C22×C4×C37—21no—
601C22×C4×C37—41no—
602C22×C4×C37—41no—
603C22×C4×C37—44no—
604C22×C4×C37C2×D411yescharacteristic
605C22×C4×C37C2×D411yescharacteristic
606C22×C4×C37C2×D411yescharacteristic
607C22×C4×C37C2411yescharacteristic
608C22×C4×C37C2411yescharacteristic
609C22×C4×C37C2411yescharacteristic
610C22×C4×C37C2411yescharacteristic
611C22×C4×C37C2411yescharacteristic
612Q16×C37—22no—
613Q16×C37—22no—
614Q16×C37—22no—
615Q16×C37—41no—
616Q16×C37—41no—
617Q16×C37—41no—
618SD16×C37—22no—
619SD16×C37—22no—
620SD16×C37—22no—
621SD16×C37—22no—
622SD16×C37—41no—
623SD16×C37—41no—
624SD16×C37—41no—
625SD16×C37—41no—
626SD16×C37—41no—
627SD16×C37—41no—
628SD16×C37—41no—
629SD16×C37—41no—
630SD16×C37—41no—
631SD16×C37—41no—
632D8×C37—22no—
633D8×C37—41no—
634D8×C37—41no—
635D8×C37—41no—
636M16×C37—41no—
637M16×C37—41no—
638C2×C8×C37—41no—
639C2×C8×C37—41no—
640C2×C8×C37—41no—
641C2×C8×C37—41no—
642C2×C8×C37—41no—
643C2×C8×C37—41no—
644C2×C8×C37C2411yescharacteristic
645C2×C8×C37C2411yescharacteristic
646C2×C8×C37C2411yescharacteristic
647C2×C8×C37C2411yescharacteristic
648C2×C8×C37C2411yescharacteristic
649C2×C8×C37C2411yescharacteristic
650C2×C8×C37C2411yescharacteristic
651C2×C8×C37C2411yescharacteristic
652C4⋊C4×C37—21no—
653C4⋊C4×C37—21no—
654C4⋊C4×C37—21no—
655C4⋊C4×C37—21no—
656C4⋊C4×C37—21no—
657C4⋊C4×C37—21no—
658C4⋊C4×C37—21no—
659C4⋊C4×C37—21no—
660C4⋊C4×C37—21no—
661C4⋊C4×C37—21no—
662C4⋊C4×C37—21no—
663C4⋊C4×C37—21no—
664C4⋊C4×C37—21no—
665C4⋊C4×C37—21no—
666C4⋊C4×C37—21no—
667C4⋊C4×C37—21no—
668C4⋊C4×C37—21no—
669C4⋊C4×C37—21no—
670C4⋊C4×C37—21no—
671C4⋊C4×C37—21no—
672C4⋊C4×C37—21no—
673C4⋊C4×C37—21no—
674C4⋊C4×C37—21no—
675C4⋊C4×C37—21no—
676C4⋊C4×C37C2×D411yescharacteristic
677C4⋊C4×C37C2×D411yescharacteristic
678C4⋊C4×C37C2×D411yescharacteristic
679C4⋊C4×C37C2×D411yescharacteristic
680C4⋊C4×C37C2×D411yescharacteristic
681C4⋊C4×C37C2×D411yescharacteristic
682C4⋊C4×C37C2411yescharacteristic
683C4⋊C4×C37C2411yescharacteristic
684C4⋊C4×C37C2411yescharacteristic
685C4⋊C4×C37C2411yescharacteristic
686C4⋊C4×C37C2411yescharacteristic
687C4⋊C4×C37C2411yescharacteristic
688C22⋊C4×C37—21no—
689C22⋊C4×C37—21no—
690C22⋊C4×C37—21no—
691C22⋊C4×C37—21no—
692C22⋊C4×C37—21no—
693C22⋊C4×C37—21no—
694C22⋊C4×C37—21no—
695C22⋊C4×C37—21no—
696C22⋊C4×C37—21no—
697C22⋊C4×C37—21no—
698C22⋊C4×C37—21no—
699C22⋊C4×C37—21no—
700C22⋊C4×C37—21no—
701C22⋊C4×C37—21no—
702C22⋊C4×C37—21no—
703C22⋊C4×C37—21no—
704C22⋊C4×C37—21no—
705C22⋊C4×C37—21no—
706C22⋊C4×C37—21no—
707C22⋊C4×C37—21no—
708C22⋊C4×C37—21no—
709C22⋊C4×C37—21no—
710C22⋊C4×C37—21no—
711C22⋊C4×C37—21no—
712C22⋊C4×C37—21no—
713C22⋊C4×C37—21no—
714C22⋊C4×C37—21no—
715C22⋊C4×C37—21no—
716C22⋊C4×C37—21no—
717C22⋊C4×C37—21no—
718C22⋊C4×C37—21no—
719C22⋊C4×C37C2×D411yescharacteristic
720C22⋊C4×C37C2×D411yescharacteristic
721C22⋊C4×C37C2×D411yescharacteristic
722C22⋊C4×C37C2×D411yescharacteristic
723C22⋊C4×C37C2×D411yescharacteristic
724C22⋊C4×C37C2×D411yescharacteristic
725C22⋊C4×C37C2×D411yescharacteristic
726C22⋊C4×C37C2×D411yescharacteristic
727C22⋊C4×C37C2×D411yescharacteristic
728C22⋊C4×C37C2×D411yescharacteristic
729C42×C37—21no—
730C42×C37—21no—
731C42×C37—21no—
732C42×C37—21no—
733C42×C37—21no—
734C42×C37—21no—
735C42×C37—21no—
736C42×C37C2411yescharacteristic
737C42×C37C2411yescharacteristic
738C23×C37—21no—
739C23×C37—22no—
740C23×C37—21no—
741C23×C37—21no—
742C23×C37—21no—
743C23×C37—21no—
744C23×C37—41no—
745C23×C37—41no—
746C23×C37—42no—
747C23×C37—42no—
748C23×C37—42no—
749C23×C37—42no—
750C23×C37—42no—
751C23×C37—81no—
752C23×C37—81no—
753C23×C37—81no—
754C23×C37—81no—
755C23×C37—81no—
756C23×C37—81no—
757C23×C37—81no—
758C23×C37C22×D411yescharacteristic
759C23×C37C22×D411yescharacteristic
760C23×C37C22×D411yescharacteristic
761C23×C37C22×D411yescharacteristic
762C23×C37C22×D411yescharacteristic
763Q8×C37—21no—
764Q8×C37—21no—
765Q8×C37—21no—
766Q8×C37—21no—
767Q8×C37—21no—
768Q8×C37—21no—
769Q8×C37—21no—
770Q8×C37—21no—
771Q8×C37—21no—
772Q8×C37—41no—
773Q8×C37—42no—
774Q8×C37—81no—
775Q8×C37—81no—
776Q8×C37—81no—
777Q8×C37H(5,𝔽2)12yes—
778D4×C37—24no—
779D4×C37—22no—
780D4×C37—22no—
781D4×C37—21no—
782D4×C37—21no—
783D4×C37—21no—
784D4×C37—21no—
785D4×C37—21no—
786D4×C37—21no—
787D4×C37—21no—
788D4×C37—21no—
789D4×C37—21no—
790D4×C37—41no—
791D4×C37—41no—
792D4×C37—41no—
793D4×C37—41no—
794D4×C37—41no—
795D4×C37—42no—
796D4×C37—42no—
797D4×C37—42no—
798D4×C37—42no—
799D4×C37—42no—
800D4×C37—42no—
801D4×C37—42no—
802D4×C37—42no—
803D4×C37—42no—
804D4×C37—42no—
805D4×C37—42no—
806D4×C37—42no—
807D4×C37—81no—
808D4×C37—81no—
809D4×C37—81no—
810D4×C37—81no—
811D4×C37—81no—
812D4×C37—81no—
813D4×C37—81no—
814D4×C37—81no—
815D4×C37—81no—
816D4×C37—81no—
817D4×C37—81no—
818D4×C37—81no—
819D4×C37H(5,𝔽2)12yes—
820C2×C4×C37—24no—
821C2×C4×C37—21no—
822C2×C4×C37—21no—
823C2×C4×C37—21no—
824C2×C4×C37—21no—
825C2×C4×C37—21no—
826C2×C4×C37—21no—
827C2×C4×C37—21no—
828C2×C4×C37—21no—
829C2×C4×C37—21no—
830C2×C4×C37—21no—
831C2×C4×C37—21no—
832C2×C4×C37—21no—
833C2×C4×C37—21no—
834C2×C4×C37—21no—
835C2×C4×C37—21no—
836C2×C4×C37—21no—
837C2×C4×C37—21no—
838C2×C4×C37—21no—
839C2×C4×C37—21no—
840C2×C4×C37—21no—
841C2×C4×C37—21no—
842C2×C4×C37—41no—
843C2×C4×C37—41no—
844C2×C4×C37—41no—
845C2×C4×C37—42no—
846C2×C4×C37—42no—
847C2×C4×C37—42no—
848C2×C4×C37—42no—
849C2×C4×C37—42no—
850C2×C4×C37—42no—
851C2×C4×C37—81no—
852C2×C4×C37—81no—
853C2×C4×C37—81no—
854C2×C4×C37—81no—
855C2×C4×C37—81no—
856C2×C4×C37—81no—
857C2×C4×C37—81no—
858C2×C4×C37—81no—
859C2×C4×C37—81no—
860C2×C4×C37—81no—
861C2×C4×C37C22×D411yescharacteristic
862C2×C4×C37C22×D411yescharacteristic
863C2×C4×C37C22×D411yescharacteristic
864C2×C4×C37C22×D411yescharacteristic
865C2×C4×C37C22×D411yescharacteristic
866C2×C4×C37C22×D411yescharacteristic
867C2×C4×C37C22×D411yescharacteristic
868C2×C4×C37C22×D411yescharacteristic
869C2×C4×C37C22×D411yescharacteristic
870C2×C4×C37C2511yescharacteristic
871C8×C37—21no—
872C8×C37—21no—
873C8×C37—21no—
874C8×C37—21no—
875C8×C37—21no—
876C8×C37—21no—
877C8×C37—21no—
878C8×C37—21no—
879#61640C3711yesmaximal, characteristic, direct product factor, Sylow
880C22×C37—21no—
881C22×C37—21no—
882C22×C37—21no—
883C22×C37—21no—
884C22×C37—21no—
885C22×C37—21no—
886C22×C37—21no—
887C22×C37—22no—
888C22×C37—21no—
889C22×C37—21no—
890C22×C37—21no—
891C22×C37—21no—
892C22×C37—21no—
893C22×C37—21no—
894C22×C37—21no—
895C22×C37—41no—
896C22×C37—41no—
897C22×C37—41no—
898C22×C37—41no—
899C22×C37—41no—
900C22×C37—41no—
901C22×C37—41no—
902C22×C37—41no—
903C22×C37—41no—
904C22×C37—41no—
905C22×C37—41no—
906C22×C37—41no—
907C22×C37—41no—
908C22×C37—41no—
909C22×C37—82no—
910C22×C37—84no—
911C22×C37—162no—
912C22×C37—162no—
913C22×C37—162no—
914C22×C37#57712yes—
915C22×C37C23×D411yescharacteristic
916C4×C37—21no—
917C4×C37—21no—
918C4×C37—21no—
919C4×C37—22no—
920C4×C37—21no—
921C4×C37—21no—
922C4×C37—21no—
923C4×C37—21no—
924C4×C37—21no—
925C4×C37—21no—
926C4×C37—41no—
927C4×C37—41no—
928C4×C37—41no—
929C4×C37—41no—
930C4×C37—41no—
931C4×C37—41no—
932C4×C37—41no—
933C4×C37—41no—
934C4×C37—41no—
935C4×C37—41no—
936C4×C37C2×H(5,𝔽2)11yescharacteristic
937C4×C37C2×H(5,𝔽2)11yescharacteristic
938#3541C2×C3711yescharacteristic, complemented
939#3488C2×C3711yescharacteristic, complemented
940#3318C2×C3711yescharacteristic, complemented
941#3317C2×C3711yescharacteristic, complemented
942#3316C2×C3711yescharacteristic, complemented
943#3311C2×C3711yescharacteristic, complemented
944#3304C2×C3711yescharacteristic, complemented
945#3301C2×C3711yescharacteristic, complemented
946#3296C2×C3711yescharacteristic, complemented
947#3295C2×C3711yescharacteristic, complemented
948#3285C2×C3711yescharacteristic, complemented
949#3284C2×C3711yescharacteristic, complemented
950#3282C2×C3711yescharacteristic, complemented
951D4×SD16C2×C3711yescharacteristic, complemented
952#3271C2×C3711yescharacteristic, complemented
953#3270C2×C3711yescharacteristic, complemented
954#3267C2×C3711yescharacteristic, complemented
955#3265C2×C3711yescharacteristic, complemented
956#3224C2×C3711yescharacteristic, complemented
957#3222C2×C3711yescharacteristic, complemented
958#3204C2×C3711yescharacteristic, complemented
959#3201C2×C3711yescharacteristic, complemented
960#3188C2×C3711yescharacteristic, complemented
961#3187C2×C3711yescharacteristic, complemented
962#3125C2×C3711yescharacteristic, complemented
963#3120C2×C3711yescharacteristic, complemented
964#3012C2×C3711yescharacteristic, complemented
965#3009C2×C3711yescharacteristic, complemented
966#3002C2×C3711yescharacteristic, complemented
967C2×#452C2×C3711yescharacteristic, complemented
968#2977C2×C3711yescharacteristic, complemented
969C2×C37—22no—
970C2×C37—41no—
971C2×C37—41no—
972C2×C37—41no—
973C2×C37—41no—
974C2×C37—42no—
975C2×C37—81no—
976C2×C37—81no—
977C2×C37—81no—
978C2×C37—81no—
979C2×C37#348411yescharacteristic
980C2×C37C2×#57711yescharacteristic
981C2×C37#358411yescharacteristic
982C2×H(5,𝔽2)C22×C3711yescharacteristic
983C22×#41C22×C3711yescharacteristic
984C2×#137C22×C3711yescharacteristic, complemented
985C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
986C2×#135C22×C3711yescharacteristic, complemented
987C2×#135C22×C3711yescharacteristic, complemented
988C2×#135C22×C3711yescharacteristic, complemented
989C22×Q16C22×C3711yescharacteristic, complemented
990C22×SD16C22×C3711yescharacteristic, complemented
991C22×SD16C22×C3711yescharacteristic, complemented
992#563—21no—
993#562—21no—
994#556C22×C3711yescharacteristic, complemented
995#554—21no—
996#554C22×C3711yescharacteristic, complemented
997#553—21no—
998#553C22×C3711yescharacteristic, complemented
999#552C22×C3711yescharacteristic, complemented
1000#550C22×C3711yescharacteristic
1001#550C22×C3711yescharacteristic
1002D4×Q8C22×C3711yescharacteristic, complemented
1003#548C22×C3711yescharacteristic
1004#548C22×C3711yescharacteristic
1005#548C22×C3711yescharacteristic, complemented
1006#548C22×C3711yescharacteristic, complemented
1007#547C22×C3711yescharacteristic, complemented
1008#546—21no—
1009#546—21no—
1010#546C22×C3711yescharacteristic
1011#546C22×C3711yescharacteristic
1012D42—21no—
1013D42—21no—
1014D42C22×C3711yescharacteristic
1015D42C22×C3711yescharacteristic
1016#542—21no—
1017#542C22×C3711yescharacteristic, complemented
1018#541C22×C3711yescharacteristic, complemented
1019#539—21no—
1020#538—21no—
1021#538—21no—
1022#537—21no—
1023#537C22×C3711yescharacteristic
1024#537C22×C3711yescharacteristic, complemented
1025#536C22×C3711yescharacteristic, complemented
1026#535—21no—
1027#535C22×C3711yescharacteristic
1028#525—21no—
1029#525C22×C3711yescharacteristic
1030#525C22×C3711yescharacteristic, complemented
1031C2×C22⋊Q8C22×C3711yescharacteristic, complemented
1032C2×#121—21no—
1033C2×#121C22×C3711yescharacteristic
1034#520C22×C3711yescharacteristic
1035#497C22×C3711yescharacteristic, complemented
1036#496C22×C3711yescharacteristic, complemented
1037#495C22×C3711yescharacteristic, complemented
1038#492C22×C3711yescharacteristic, complemented
1039#490C22×C3711yescharacteristic, complemented
1040#489C22×C3711yescharacteristic, complemented
1041#488C22×C3711yescharacteristic, complemented
1042#486C22×C3711yescharacteristic, complemented
1043#485C22×C3711yescharacteristic, complemented
1044#484C22×C3711yescharacteristic, complemented
1045#483C22×C3711yescharacteristic, complemented
1046#483C22×C3711yescharacteristic, complemented
1047#483C22×C3711yescharacteristic, complemented
1048#482C22×C3711yescharacteristic, complemented
1049#482C22×C3711yescharacteristic, complemented
1050#482C22×C3711yescharacteristic, complemented
1051#481C22×C3711yescharacteristic, complemented
1052#481C22×C3711yescharacteristic, complemented
1053#481C22×C3711yescharacteristic, complemented
1054#481C22×C3711yescharacteristic, complemented
1055#479C22×C3711yescharacteristic, complemented
1056#478C22×C3711yescharacteristic, complemented
1057#476C22×C3711yescharacteristic, complemented
1058#475C22×C3711yescharacteristic, complemented
1059#470C22×C3711yescharacteristic, complemented
1060#470C22×C3711yescharacteristic, complemented
1061#469C22×C3711yescharacteristic, complemented
1062#468C22×C3711yescharacteristic, complemented
1063#467C22×C3711yescharacteristic, complemented
1064#466C22×C3711yescharacteristic, complemented
1065#466C22×C3711yescharacteristic, complemented
1066#465C22×C3711yescharacteristic, complemented
1067#465C22×C3711yescharacteristic, complemented
1068#465C22×C3711yescharacteristic, complemented
1069#465C22×C3711yescharacteristic, complemented
1070#465C22×C3711yescharacteristic, complemented
1071#465C22×C3711yescharacteristic, complemented
1072#465C22×C3711yescharacteristic, complemented
1073#465C22×C3711yescharacteristic, complemented
1074#465C22×C3711yescharacteristic, complemented
1075#464C22×C3711yescharacteristic, complemented
1076#464C22×C3711yescharacteristic, complemented
1077#464C22×C3711yescharacteristic, complemented
1078#464C22×C3711yescharacteristic, complemented
1079#463C22×C3711yescharacteristic, complemented
1080#463C22×C3711yescharacteristic, complemented
1081#462C22×C3711yescharacteristic, complemented
1082#461C22×C3711yescharacteristic, complemented
1083#460C22×C3711yescharacteristic, complemented
1084#460C22×C3711yescharacteristic, complemented
1085#460C22×C3711yescharacteristic, complemented
1086#459C22×C3711yescharacteristic, complemented
1087#452C22×C3711yescharacteristic
1088#452C22×C3711yescharacteristic
1089#452C22×C3711yescharacteristic
1090#452C22×C3711yescharacteristic, complemented
1091#452C22×C3711yescharacteristic, complemented
1092#452C22×C3711yescharacteristic, complemented
1093#452C22×C3711yescharacteristic, complemented
1094#452C22×C3711yescharacteristic, complemented
1095#452C22×C3711yescharacteristic, complemented
1096#452C22×C3711yescharacteristic, complemented
1097#452C22×C3711yescharacteristic, complemented
1098#452C22×C3711yescharacteristic, complemented
1099#452C22×C3711yescharacteristic, complemented
1100#452C22×C3711yescharacteristic, complemented
1101#451C22×C3711yescharacteristic, complemented
1102#451C22×C3711yescharacteristic, complemented
1103#450C22×C3711yescharacteristic, complemented
1104#450C22×C3711yescharacteristic, complemented
1105#450C22×C3711yescharacteristic, complemented
1106#450C22×C3711yescharacteristic, complemented
1107#450C22×C3711yescharacteristic, complemented
1108#450C22×C3711yescharacteristic, complemented
1109#450C22×C3711yescharacteristic, complemented
1110#449C22×C3711yescharacteristic
1111#449C22×C3711yescharacteristic, complemented
1112#449C22×C3711yescharacteristic, complemented
1113#449C22×C3711yescharacteristic, complemented
1114#449C22×C3711yescharacteristic, complemented
1115#449C22×C3711yescharacteristic, complemented
1116#448C22×C3711yescharacteristic, complemented
1117#448C22×C3711yescharacteristic, complemented
1118#448C22×C3711yescharacteristic, complemented
1119#448C22×C3711yescharacteristic, complemented
1120#447C22×C3711yescharacteristic, complemented
1121#447C22×C3711yescharacteristic, complemented
1122#447C22×C3711yescharacteristic, complemented
1123#442C22×C3711yescharacteristic, complemented
1124#441C22×C3711yescharacteristic, complemented
1125#441C22×C3711yescharacteristic, complemented
1126#440C22×C3711yescharacteristic, complemented
1127C4×Q16C22×C3711yescharacteristic, complemented
1128C4×SD16C22×C3711yescharacteristic, complemented
1129C4×SD16C22×C3711yescharacteristic, complemented
1130C4×SD16C22×C3711yescharacteristic, complemented
1131#435C22×C3711yescharacteristic, complemented
1132#435C22×C3711yescharacteristic, complemented
1133#435C22×C3711yescharacteristic, complemented
1134#435C22×C3711yescharacteristic, complemented
1135C8×D4C22×C3711yescharacteristic, complemented
1136C8×D4C22×C3711yescharacteristic, complemented
1137C8×D4C22×C3711yescharacteristic, complemented
1138C8×D4C22×C3711yescharacteristic, complemented
1139#433C22×C3711yescharacteristic, complemented
1140#433C22×C3711yescharacteristic, complemented
1141#418C22×C3711yescharacteristic, complemented
1142#417C22×C3711yescharacteristic, complemented
1143#416C22×C3711yescharacteristic, complemented
1144#416C22×C3711yescharacteristic, complemented
1145#416C22×C3711yescharacteristic, complemented
1146C2×#103C22×C3711yescharacteristic, complemented
1147C2×#102C22×C3711yescharacteristic, complemented
1148C2×#102C22×C3711yescharacteristic, complemented
1149#408C22×C3711yescharacteristic, complemented
1150#408C22×C3711yescharacteristic, complemented
1151C2×C22⋊C8C22×C3711yescharacteristic, complemented
1152C2×C22⋊C8C22×C3711yescharacteristic, complemented
1153C37#6164011yescharacteristic, direct product factor, Sylow
1154H(5,𝔽2)—42no—
1155H(5,𝔽2)—42no—
1156C2×#41—21no—
1157C2×#41—21no—
1158C2×#41—21no—
1159C2×#41—42no—
1160C2×#41—42no—
1161C2×#41C23×C3711yescharacteristic
1162C2×#41C23×C3711yescharacteristic
1163C2×#41C23×C3711yescharacteristic
1164C2×#41C23×C3711yescharacteristic
1165C2×#41C23×C3711yescharacteristic
1166C2×#41C23×C3711yescharacteristic
1167C2×#41C23×C3711yescharacteristic
1168C2×#41C23×C3711yescharacteristic
1169C2×#41C23×C3711yescharacteristic
1170C22×Q8C23×C3711yescharacteristic
1171C22×Q8C23×C3711yescharacteristic
1172C22×Q8C23×C3711yescharacteristic
1173C22×D4—21no—
1174C22×D4—21no—
1175C22×D4—21no—
1176C22×D4—21no—
1177C22×D4—21no—
1178C22×D4—21no—
1179C22×D4—21no—
1180C22×D4C23×C3711yescharacteristic
1181C22×D4C23×C3711yescharacteristic
1182C22×D4C23×C3711yescharacteristic
1183C22×D4C23×C3711yescharacteristic
1184C23×C4—21no—
1185C23×C4C23×C3711yescharacteristic
1186#137—42no—
1187AGL(1,ℤ/8)—42no—
1188#135—42no—
1189#135—42no—
1190#135—42no—
1191C2×Q16—42no—
1192C2×Q16C23×C3711yescharacteristic
1193C2×Q16C23×C3711yescharacteristic
1194C2×Q16C23×C3711yescharacteristic
1195C2×Q16C23×C3711yescharacteristic
1196C2×Q16C23×C3711yescharacteristic
1197C2×Q16C23×C3711yescharacteristic
1198C2×SD16—42no—
1199C2×SD16—42no—
1200C2×SD16C23×C3711yescharacteristic
1201C2×SD16C23×C3711yescharacteristic
1202C2×SD16C23×C3711yescharacteristic
1203C2×SD16C23×C3711yescharacteristic
1204C2×SD16C23×C3711yescharacteristic
1205C2×SD16C23×C3711yescharacteristic
1206C2×SD16C23×C3711yescharacteristic
1207C2×SD16C23×C3711yescharacteristic
1208C2×SD16C23×C3711yescharacteristic
1209C2×SD16C23×C3711yescharacteristic
1210C2×SD16C23×C3711yescharacteristic
1211C2×SD16C23×C3711yescharacteristic
1212C2×SD16C23×C3711yescharacteristic
1213C2×SD16C23×C3711yescharacteristic
1214C2×D8C23×C3711yescharacteristic
1215C2×D8C23×C3711yescharacteristic
1216C2×D8C23×C3711yescharacteristic
1217C2×D8C23×C3711yescharacteristic
1218C2×M16C23×C3711yescharacteristic
1219C2×M16C23×C3711yescharacteristic
1220C22×C8C23×C3711yescharacteristic
1221C22×C8C23×C3711yescharacteristic
1222C22×C8C23×C3711yescharacteristic
1223C22×C8C23×C3711yescharacteristic
1224C22×C8C23×C3711yescharacteristic
1225C22×C8C23×C3711yescharacteristic
1226C4⋊Q8—21no—
1227C4⋊Q8—21no—
1228C4⋊Q8C23×C3711yescharacteristic
1229C4⋊Q8C23×C3711yescharacteristic
1230#127—21no—
1231#127—21no—
1232#127C23×C3711yescharacteristic
1233#127C23×C3711yescharacteristic
1234#126—21no—
1235#126—21no—
1236#126—21no—
1237#126—21no—
1238#126—21no—
1239#126—21no—
1240#126—21no—
1241#125—21no—
1242#125—21no—
1243#125—21no—
1244#125—21no—
1245#125C23×C3711yescharacteristic
1246#124—21no—
1247#124—21no—
1248#124—21no—
1249#124—21no—
1250#124—21no—
1251#124—21no—
1252#124—21no—
1253#124C23×C3711yescharacteristic
1254#124C23×C3711yescharacteristic
1255#124C23×C3711yescharacteristic
1256#123—21no—
1257#123—21no—
1258#123—21no—
1259#123—21no—
1260#123—21no—
1261#123—21no—
1262#123—21no—
1263#123—21no—
1264#123—21no—
1265#123—21no—
1266#123D4×C3711yescharacteristic
1267#123D4×C3711yescharacteristic
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—21no—
1272C22⋊Q8—21no—
1273C22⋊Q8—21no—
1274C22⋊Q8—21no—
1275C22⋊Q8—21no—
1276C22⋊Q8—21no—
1277C22⋊Q8—21no—
1278C22⋊Q8—21no—
1279C22⋊Q8—21no—
1280C22⋊Q8—21no—
1281C22⋊Q8D4×C3711yescharacteristic
1282C22⋊Q8D4×C3711yescharacteristic
1283C22⋊Q8C23×C3711yescharacteristic
1284C22⋊Q8C23×C3711yescharacteristic
1285C22⋊Q8C23×C3711yescharacteristic
1286C22⋊Q8C23×C3711yescharacteristic
1287C22⋊Q8C23×C3711yescharacteristic
1288C22⋊Q8C23×C3711yescharacteristic
1289C22⋊Q8C23×C3711yescharacteristic
1290C22⋊Q8C23×C3711yescharacteristic
1291C22⋊Q8C23×C3711yescharacteristic
1292C22⋊Q8C23×C3711yescharacteristic
1293C22⋊Q8C23×C3711yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—21no—
1312#121—21no—
1313#121—21no—
1314#121—21no—
1315#121—21no—
1316#121—21no—
1317#121—21no—
1318#121D4×C3711yescharacteristic
1319#121D4×C3711yescharacteristic
1320#121C23×C3711yescharacteristic
1321#121C23×C3711yescharacteristic
1322#121C23×C3711yescharacteristic
1323#121C23×C3711yescharacteristic
1324#121C23×C3711yescharacteristic
1325#121C23×C3711yescharacteristic
1326#121C23×C3711yescharacteristic
1327#121C23×C3711yescharacteristic
1328#121C23×C3711yescharacteristic
1329#120—21no—
1330#120—21no—
1331#120—21no—
1332#120—21no—
1333#120—21no—
1334#120—21no—
1335#120—21no—
1336#120—21no—
1337#120—21no—
1338#120D4×C3711yescharacteristic
1339#120D4×C3711yescharacteristic
1340C4×Q8—21no—
1341C4×Q8C23×C3711yescharacteristic
1342C4×Q8C23×C3711yescharacteristic
1343C4×Q8C23×C3711yescharacteristic
1344C4×Q8C23×C3711yescharacteristic
1345C4×Q8C23×C3711yescharacteristic
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—21no—
1349C4×D4—21no—
1350C4×D4—21no—
1351C4×D4—21no—
1352C4×D4—21no—
1353C4×D4—21no—
1354C4×D4—21no—
1355C4×D4—21no—
1356C4×D4—21no—
1357C4×D4—21no—
1358C4×D4—21no—
1359C4×D4C23×C3711yescharacteristic
1360C4×D4C23×C3711yescharacteristic
1361C4×D4C23×C3711yescharacteristic
1362C4×D4C23×C3711yescharacteristic
1363C4×D4C23×C3711yescharacteristic
1364C4×D4C23×C3711yescharacteristic
1365C4×D4C23×C3711yescharacteristic
1366#117—21no—
1367#117—21no—
1368#117C23×C3711yescharacteristic
1369#117C23×C3711yescharacteristic
1370#117C23×C3711yescharacteristic
1371C2×C4⋊C4—21no—
1372C2×C4⋊C4—21no—
1373C2×C4⋊C4—21no—
1374C2×C4⋊C4C23×C3711yescharacteristic
1375C2×C4⋊C4C23×C3711yescharacteristic
1376C2×C4⋊C4C23×C3711yescharacteristic
1377C2×C22⋊C4—21no—
1378C2×C22⋊C4—21no—
1379C2×C22⋊C4—21no—
1380C2×C22⋊C4—21no—
1381#107C23×C3711yescharacteristic
1382#107C23×C3711yescharacteristic
1383#106C23×C3711yescharacteristic
1384#106C23×C3711yescharacteristic
1385#106C23×C3711yescharacteristic
1386#106C23×C3711yescharacteristic
1387#106C23×C3711yescharacteristic
1388#106C23×C3711yescharacteristic
1389C4⋊C8C23×C3711yescharacteristic
1390C4⋊C8C23×C3711yescharacteristic
1391C4⋊C8C23×C3711yescharacteristic
1392C4⋊C8C23×C3711yescharacteristic
1393#103C23×C3711yescharacteristic
1394#103C23×C3711yescharacteristic
1395#103C23×C3711yescharacteristic
1396#103C23×C3711yescharacteristic
1397#103C23×C3711yescharacteristic
1398#103C23×C3711yescharacteristic
1399#103C23×C3711yescharacteristic
1400#103C23×C3711yescharacteristic
1401#103C23×C3711yescharacteristic
1402#103C23×C3711yescharacteristic
1403#103C23×C3711yescharacteristic
1404#103C23×C3711yescharacteristic
1405#103C23×C3711yescharacteristic
1406#103C23×C3711yescharacteristic
1407#102C23×C3711yescharacteristic
1408#102C23×C3711yescharacteristic
1409#102C23×C3711yescharacteristic
1410#102C23×C3711yescharacteristic
1411#102C23×C3711yescharacteristic
1412#102C23×C3711yescharacteristic
1413#102C23×C3711yescharacteristic
1414#102C23×C3711yescharacteristic
1415#102C23×C3711yescharacteristic
1416#102C23×C3711yescharacteristic
1417#102C23×C3711yescharacteristic
1418#102C23×C3711yescharacteristic
1419#102C23×C3711yescharacteristic
1420#102C23×C3711yescharacteristic
1421#102C23×C3711yescharacteristic
1422#102C23×C3711yescharacteristic
1423#102C23×C3711yescharacteristic
1424#102C23×C3711yescharacteristic
1425C22⋊C8C23×C3711yescharacteristic
1426C22⋊C8C23×C3711yescharacteristic
1427C22⋊C8C23×C3711yescharacteristic
1428C22⋊C8C23×C3711yescharacteristic
1429C22⋊C8C23×C3711yescharacteristic
1430C22⋊C8C23×C3711yescharacteristic
1431C22⋊C8C23×C3711yescharacteristic
1432C22⋊C8C23×C3711yescharacteristic
1433C22⋊C8C23×C3711yescharacteristic
1434C22⋊C8C23×C3711yescharacteristic
1435C22⋊C8C23×C3711yescharacteristic
1436C22⋊C8C23×C3711yescharacteristic
1437#97C23×C3711yescharacteristic
1438#97C23×C3711yescharacteristic
1439C4×C8C23×C3711yescharacteristic
1440C4×C8C23×C3711yescharacteristic
1441C24—21no—
1442C24—21no—
1443C24—21no—
1444C24—21no—
1445C24C2×D4×C3711yescharacteristic
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—22no—
1450#41—22no—
1451#41—22no—
1452#41—41no—
1453#41—41no—
1454#41—41no—
1455#41—41no—
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—41no—
1460#41—44no—
1461#41—44no—
1462#41—41no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—44no—
1467C2×Q8—21no—
1468C2×Q8—21no—
1469C2×Q8—21no—
1470C2×Q8—21no—
1471C2×Q8—22no—
1472C2×Q8—41no—
1473C2×Q8—41no—
1474C2×Q8—41no—
1475C2×Q8—41no—
1476C2×Q8—41no—
1477C2×Q8C2×D4×C3711yescharacteristic
1478C2×Q8C24×C3711yescharacteristic
1479C2×Q8C24×C3711yescharacteristic
1480C2×Q8C24×C3711yescharacteristic
1481C2×Q8C24×C3711yescharacteristic
1482C2×Q8C24×C3711yescharacteristic
1483C2×D4—21no—
1484C2×D4—22no—
1485C2×D4—22no—
1486C2×D4—22no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—41no—
1512C2×D4—41no—
1513C2×D4—41no—
1514C2×D4—41no—
1515C2×D4—41no—
1516C2×D4—44no—
1517C2×D4—44no—
1518C2×D4—44no—
1519C2×D4—44no—
1520C2×D4—82no—
1521C2×D4—82no—
1522C2×D4—82no—
1523C2×D4C2×D4×C3711yescharacteristic
1524C2×D4C2×D4×C3711yescharacteristic
1525C2×D4C2×D4×C3711yescharacteristic
1526C2×D4C2×D4×C3711yescharacteristic
1527C2×D4C2×D4×C3711yescharacteristic
1528C2×D4C2×D4×C3711yescharacteristic
1529C2×D4C2×D4×C3711yescharacteristic
1530C2×D4C24×C3711yescharacteristic
1531C2×D4C24×C3711yescharacteristic
1532C2×D4C24×C3711yescharacteristic
1533C2×D4C24×C3711yescharacteristic
1534C2×D4C24×C3711yescharacteristic
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×C4—21no—
1548C22×C4—21no—
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—41no—
1553C22×C4—41no—
1554C22×C4—44no—
1555C22×C4C2×D4×C3711yescharacteristic
1556C22×C4C2×D4×C3711yescharacteristic
1557C22×C4C2×D4×C3711yescharacteristic
1558C22×C4C24×C3711yescharacteristic
1559C22×C4C24×C3711yescharacteristic
1560C22×C4C24×C3711yescharacteristic
1561C22×C4C24×C3711yescharacteristic
1562C22×C4C24×C3711yescharacteristic
1563Q16—22no—
1564Q16—22no—
1565Q16—22no—
1566Q16—41no—
1567Q16—41no—
1568Q16—41no—
1569SD16—22no—
1570SD16—22no—
1571SD16—22no—
1572SD16—22no—
1573SD16—41no—
1574SD16—41no—
1575SD16—41no—
1576SD16—41no—
1577SD16—41no—
1578SD16—41no—
1579SD16—41no—
1580SD16—41no—
1581SD16—41no—
1582SD16—41no—
1583D8—22no—
1584D8—41no—
1585D8—41no—
1586D8—41no—
1587M16—41no—
1588M16—41no—
1589C2×C8—41no—
1590C2×C8—41no—
1591C2×C8—41no—
1592C2×C8—41no—
1593C2×C8—41no—
1594C2×C8—41no—
1595C2×C8C24×C3711yescharacteristic
1596C2×C8C24×C3711yescharacteristic
1597C2×C8C24×C3711yescharacteristic
1598C2×C8C24×C3711yescharacteristic
1599C2×C8C24×C3711yescharacteristic
1600C2×C8C24×C3711yescharacteristic
1601C2×C8C24×C3711yescharacteristic
1602C2×C8C24×C3711yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—21no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—21no—
1623C4⋊C4—21no—
1624C4⋊C4—21no—
1625C4⋊C4—21no—
1626C4⋊C4—21no—
1627C4⋊C4C2×D4×C3711yescharacteristic
1628C4⋊C4C2×D4×C3711yescharacteristic
1629C4⋊C4C2×D4×C3711yescharacteristic
1630C4⋊C4C2×D4×C3711yescharacteristic
1631C4⋊C4C2×D4×C3711yescharacteristic
1632C4⋊C4C2×D4×C3711yescharacteristic
1633C4⋊C4C24×C3711yescharacteristic
1634C4⋊C4C24×C3711yescharacteristic
1635C4⋊C4C24×C3711yescharacteristic
1636C4⋊C4C24×C3711yescharacteristic
1637C4⋊C4C24×C3711yescharacteristic
1638C4⋊C4C24×C3711yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4C2×D4×C3711yescharacteristic
1671C22⋊C4C2×D4×C3711yescharacteristic
1672C22⋊C4C2×D4×C3711yescharacteristic
1673C22⋊C4C2×D4×C3711yescharacteristic
1674C22⋊C4C2×D4×C3711yescharacteristic
1675C22⋊C4C2×D4×C3711yescharacteristic
1676C22⋊C4C2×D4×C3711yescharacteristic
1677C22⋊C4C2×D4×C3711yescharacteristic
1678C22⋊C4C2×D4×C3711yescharacteristic
1679C22⋊C4C2×D4×C3711yescharacteristic
1680C42—21no—
1681C42—21no—
1682C42—21no—
1683C42—21no—
1684C42—21no—
1685C42—21no—
1686C42—21no—
1687C42C24×C3711yescharacteristic
1688C42C24×C3711yescharacteristic
1689C23—21no—
1690C23—22no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—41no—
1696C23—41no—
1697C23—42no—
1698C23—42no—
1699C23—42no—
1700C23—42no—
1701C23—42no—
1702C23—81no—
1703C23—81no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—81no—
1709C23C22×D4×C3711yescharacteristic
1710C23C22×D4×C3711yescharacteristic
1711C23C22×D4×C3711yescharacteristic
1712C23C22×D4×C3711yescharacteristic
1713C23C22×D4×C3711yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—21no—
1721Q8—21no—
1722Q8—21no—
1723Q8—41no—
1724Q8—42no—
1725Q8—81no—
1726Q8—81no—
1727Q8—81no—
1728Q8H(5,𝔽2)×C3712yes—
1729D4—24no—
1730D4—22no—
1731D4—22no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—21no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—41no—
1742D4—41no—
1743D4—41no—
1744D4—41no—
1745D4—41no—
1746D4—42no—
1747D4—42no—
1748D4—42no—
1749D4—42no—
1750D4—42no—
1751D4—42no—
1752D4—42no—
1753D4—42no—
1754D4—42no—
1755D4—42no—
1756D4—42no—
1757D4—42no—
1758D4—81no—
1759D4—81no—
1760D4—81no—
1761D4—81no—
1762D4—81no—
1763D4—81no—
1764D4—81no—
1765D4—81no—
1766D4—81no—
1767D4—81no—
1768D4—81no—
1769D4—81no—
1770D4H(5,𝔽2)×C3712yes—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—41no—
1794C2×C4—41no—
1795C2×C4—41no—
1796C2×C4—42no—
1797C2×C4—42no—
1798C2×C4—42no—
1799C2×C4—42no—
1800C2×C4—42no—
1801C2×C4—42no—
1802C2×C4—81no—
1803C2×C4—81no—
1804C2×C4—81no—
1805C2×C4—81no—
1806C2×C4—81no—
1807C2×C4—81no—
1808C2×C4—81no—
1809C2×C4—81no—
1810C2×C4—81no—
1811C2×C4—81no—
1812C2×C4C22×D4×C3711yescharacteristic
1813C2×C4C22×D4×C3711yescharacteristic
1814C2×C4C22×D4×C3711yescharacteristic
1815C2×C4C22×D4×C3711yescharacteristic
1816C2×C4C22×D4×C3711yescharacteristic
1817C2×C4C22×D4×C3711yescharacteristic
1818C2×C4C22×D4×C3711yescharacteristic
1819C2×C4C22×D4×C3711yescharacteristic
1820C2×C4C22×D4×C3711yescharacteristic
1821C2×C4C25×C3711yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—21no—
1827C8—21no—
1828C8—21no—
1829C8—21no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—22no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—21no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—82no—
1860C22—84no—
1861C22—162no—
1862C22—162no—
1863C22—162no—
1864C22C37×#57712yes—
1865C22C23×D4×C3711yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—21no—
1873C4—21no—
1874C4—21no—
1875C4—21no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—41no—
1886C4C2×H(5,𝔽2)×C3711yescharacteristic
1887C4C2×H(5,𝔽2)×C3711yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—42no—
1894C2—81no—
1895C2—81no—
1896C2—81no—
1897C2—81no—
1898C2C37×#348411yescharacteristic
1899C2C2×C37×#57711yescharacteristic
1900C2C37×#358411yescharacteristic
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×#3541C2semidirect
2. C37×#3488C2semidirect
3. C37×#3318C2semidirect
4. C37×#3317C2semidirect
5. C37×#3316C2semidirect
6. C37×#3311C2semidirect
7. C37×#3304C2semidirect
8. C37×#3301C2semidirect
9. C37×#3296C2semidirect
10. C37×#3295C2semidirect
11. C37×#3285C2semidirect
12. C37×#3284C2semidirect
13. C37×#3282C2semidirect
14. D4×SD16×C37C2semidirect
15. C37×#3271C2semidirect
16. C37×#3270C2semidirect
17. C37×#3267C2semidirect
18. C37×#3265C2semidirect
19. C37×#3224C2semidirect
20. C37×#3222C2semidirect
21. C37×#3204C2semidirect
22. C37×#3201C2semidirect
23. C37×#3188C2semidirect
24. C37×#3187C2semidirect
25. C37×#3125C2semidirect
26. C37×#3120C2semidirect
27. C37×#3012C2semidirect
28. C37×#3009C2semidirect
29. C37×#3002C2semidirect
30. C2×C37×#452C2semidirect
31. C37×#2977C2semidirect
34. C2×#137×C37C22semidirect
35. C2×AGL(1,ℤ/8)×C37C22semidirect
36. C2×#135×C37C22semidirect
37. C2×#135×C37C22semidirect
38. C2×#135×C37C22semidirect
39. C22×Q16×C37C22semidirect
40. C22×SD16×C37C22semidirect
41. C22×SD16×C37C22semidirect
44. C37×#556C22semidirect
46. C37×#554C22semidirect
48. C37×#553C22semidirect
49. C37×#552C22semidirect
52. D4×Q8×C37C22semidirect
55. C37×#548C22semidirect
56. C37×#548C22semidirect
57. C37×#547C22semidirect
67. C37×#542C22semidirect
68. C37×#541C22semidirect
74. C37×#537C22semidirect
75. C37×#536C22semidirect
80. C37×#525C22semidirect
81. C2×C22⋊Q8×C37C22semidirect
85. C37×#497C22semidirect
86. C37×#496C22semidirect
87. C37×#495C22semidirect
88. C37×#492C22semidirect
89. C37×#490C22semidirect
90. C37×#489C22semidirect
91. C37×#488C22semidirect
92. C37×#486C22semidirect
93. C37×#485C22semidirect
94. C37×#484C22semidirect
95. C37×#483C22semidirect
96. C37×#483C22semidirect
97. C37×#483C22semidirect
98. C37×#482C22semidirect
99. C37×#482C22semidirect
100. C37×#482C22semidirect
101. C37×#481C22semidirect
102. C37×#481C22semidirect
103. C37×#481C22semidirect
104. C37×#481C22semidirect
105. C37×#479C22semidirect
106. C37×#478C22semidirect
107. C37×#476C22semidirect
108. C37×#475C22semidirect
109. C37×#470C22semidirect
110. C37×#470C22semidirect
111. C37×#469C22semidirect
112. C37×#468C22semidirect
113. C37×#467C22semidirect
114. C37×#466C22semidirect
115. C37×#466C22semidirect
116. C37×#465C22semidirect
117. C37×#465C22semidirect
118. C37×#465C22semidirect
119. C37×#465C22semidirect
120. C37×#465C22semidirect
121. C37×#465C22semidirect
122. C37×#465C22semidirect
123. C37×#465C22semidirect
124. C37×#465C22semidirect
125. C37×#464C22semidirect
126. C37×#464C22semidirect
127. C37×#464C22semidirect
128. C37×#464C22semidirect
129. C37×#463C22semidirect
130. C37×#463C22semidirect
131. C37×#462C22semidirect
132. C37×#461C22semidirect
133. C37×#460C22semidirect
134. C37×#460C22semidirect
135. C37×#460C22semidirect
136. C37×#459C22semidirect
140. C37×#452C22semidirect
141. C37×#452C22semidirect
142. C37×#452C22semidirect
143. C37×#452C22semidirect
144. C37×#452C22semidirect
145. C37×#452C22semidirect
146. C37×#452C22semidirect
147. C37×#452C22semidirect
148. C37×#452C22semidirect
149. C37×#452C22semidirect
150. C37×#452C22semidirect
151. C37×#451C22semidirect
152. C37×#451C22semidirect
153. C37×#450C22semidirect
154. C37×#450C22semidirect
155. C37×#450C22semidirect
156. C37×#450C22semidirect
157. C37×#450C22semidirect
158. C37×#450C22semidirect
159. C37×#450C22semidirect
161. C37×#449C22semidirect
162. C37×#449C22semidirect
163. C37×#449C22semidirect
164. C37×#449C22semidirect
165. C37×#449C22semidirect
166. C37×#448C22semidirect
167. C37×#448C22semidirect
168. C37×#448C22semidirect
169. C37×#448C22semidirect
170. C37×#447C22semidirect
171. C37×#447C22semidirect
172. C37×#447C22semidirect
173. C37×#442C22semidirect
174. C37×#441C22semidirect
175. C37×#441C22semidirect
176. C37×#440C22semidirect
177. C4×Q16×C37C22semidirect
178. C4×SD16×C37C22semidirect
179. C4×SD16×C37C22semidirect
180. C4×SD16×C37C22semidirect
181. C37×#435C22semidirect
182. C37×#435C22semidirect
183. C37×#435C22semidirect
184. C37×#435C22semidirect
185. C8×D4×C37C22semidirect
186. C8×D4×C37C22semidirect
187. C8×D4×C37C22semidirect
188. C8×D4×C37C22semidirect
189. C37×#433C22semidirect
190. C37×#433C22semidirect
191. C37×#418C22semidirect
192. C37×#417C22semidirect
193. C37×#416C22semidirect
194. C37×#416C22semidirect
195. C37×#416C22semidirect
196. C2×#103×C37C22semidirect
197. C2×#102×C37C22semidirect
198. C2×#102×C37C22semidirect
199. C37×#408C22semidirect
200. C37×#408C22semidirect
201. C2×C22⋊C8×C37C22semidirect
202. C2×C22⋊C8×C37C22semidirect
879. #61640C37direct (N × H)
938. #3541C2×C37semidirect
939. #3488C2×C37semidirect
940. #3318C2×C37semidirect
941. #3317C2×C37semidirect
942. #3316C2×C37semidirect
943. #3311C2×C37semidirect
944. #3304C2×C37semidirect
945. #3301C2×C37semidirect
946. #3296C2×C37semidirect
947. #3295C2×C37semidirect
948. #3285C2×C37semidirect
949. #3284C2×C37semidirect
950. #3282C2×C37semidirect
951. D4×SD16C2×C37semidirect
952. #3271C2×C37semidirect
953. #3270C2×C37semidirect
954. #3267C2×C37semidirect
955. #3265C2×C37semidirect
956. #3224C2×C37semidirect
957. #3222C2×C37semidirect
958. #3204C2×C37semidirect
959. #3201C2×C37semidirect
960. #3188C2×C37semidirect
961. #3187C2×C37semidirect
962. #3125C2×C37semidirect
963. #3120C2×C37semidirect
964. #3012C2×C37semidirect
965. #3009C2×C37semidirect
966. #3002C2×C37semidirect
967. C2×#452C2×C37semidirect
968. #2977C2×C37semidirect
984. C2×#137C22×C37semidirect
985. C2×AGL(1,ℤ/8)C22×C37semidirect
986. C2×#135C22×C37semidirect
987. C2×#135C22×C37semidirect
988. C2×#135C22×C37semidirect
989. C22×Q16C22×C37semidirect
990. C22×SD16C22×C37semidirect
991. C22×SD16C22×C37semidirect
994. #556C22×C37semidirect
996. #554C22×C37semidirect
998. #553C22×C37semidirect
999. #552C22×C37semidirect
1002. D4×Q8C22×C37semidirect
1005. #548C22×C37semidirect
1006. #548C22×C37semidirect
1007. #547C22×C37semidirect
1017. #542C22×C37semidirect
1018. #541C22×C37semidirect
1024. #537C22×C37semidirect
1025. #536C22×C37semidirect
1030. #525C22×C37semidirect
1031. C2×C22⋊Q8C22×C37semidirect
1035. #497C22×C37semidirect
1036. #496C22×C37semidirect
1037. #495C22×C37semidirect
1038. #492C22×C37semidirect
1039. #490C22×C37semidirect
1040. #489C22×C37semidirect
1041. #488C22×C37semidirect
1042. #486C22×C37semidirect
1043. #485C22×C37semidirect
1044. #484C22×C37semidirect
1045. #483C22×C37semidirect
1046. #483C22×C37semidirect
1047. #483C22×C37semidirect
1048. #482C22×C37semidirect
1049. #482C22×C37semidirect
1050. #482C22×C37semidirect
1051. #481C22×C37semidirect
1052. #481C22×C37semidirect
1053. #481C22×C37semidirect
1054. #481C22×C37semidirect
1055. #479C22×C37semidirect
1056. #478C22×C37semidirect
1057. #476C22×C37semidirect
1058. #475C22×C37semidirect
1059. #470C22×C37semidirect
1060. #470C22×C37semidirect
1061. #469C22×C37semidirect
1062. #468C22×C37semidirect
1063. #467C22×C37semidirect
1064. #466C22×C37semidirect
1065. #466C22×C37semidirect
1066. #465C22×C37semidirect
1067. #465C22×C37semidirect
1068. #465C22×C37semidirect
1069. #465C22×C37semidirect
1070. #465C22×C37semidirect
1071. #465C22×C37semidirect
1072. #465C22×C37semidirect
1073. #465C22×C37semidirect
1074. #465C22×C37semidirect
1075. #464C22×C37semidirect
1076. #464C22×C37semidirect
1077. #464C22×C37semidirect
1078. #464C22×C37semidirect
1079. #463C22×C37semidirect
1080. #463C22×C37semidirect
1081. #462C22×C37semidirect
1082. #461C22×C37semidirect
1083. #460C22×C37semidirect
1084. #460C22×C37semidirect
1085. #460C22×C37semidirect
1086. #459C22×C37semidirect
1090. #452C22×C37semidirect
1091. #452C22×C37semidirect
1092. #452C22×C37semidirect
1093. #452C22×C37semidirect
1094. #452C22×C37semidirect
1095. #452C22×C37semidirect
1096. #452C22×C37semidirect
1097. #452C22×C37semidirect
1098. #452C22×C37semidirect
1099. #452C22×C37semidirect
1100. #452C22×C37semidirect
1101. #451C22×C37semidirect
1102. #451C22×C37semidirect
1103. #450C22×C37semidirect
1104. #450C22×C37semidirect
1105. #450C22×C37semidirect
1106. #450C22×C37semidirect
1107. #450C22×C37semidirect
1108. #450C22×C37semidirect
1109. #450C22×C37semidirect
1111. #449C22×C37semidirect
1112. #449C22×C37semidirect
1113. #449C22×C37semidirect
1114. #449C22×C37semidirect
1115. #449C22×C37semidirect
1116. #448C22×C37semidirect
1117. #448C22×C37semidirect
1118. #448C22×C37semidirect
1119. #448C22×C37semidirect
1120. #447C22×C37semidirect
1121. #447C22×C37semidirect
1122. #447C22×C37semidirect
1123. #442C22×C37semidirect
1124. #441C22×C37semidirect
1125. #441C22×C37semidirect
1126. #440C22×C37semidirect
1127. C4×Q16C22×C37semidirect
1128. C4×SD16C22×C37semidirect
1129. C4×SD16C22×C37semidirect
1130. C4×SD16C22×C37semidirect
1131. #435C22×C37semidirect
1132. #435C22×C37semidirect
1133. #435C22×C37semidirect
1134. #435C22×C37semidirect
1135. C8×D4C22×C37semidirect
1136. C8×D4C22×C37semidirect
1137. C8×D4C22×C37semidirect
1138. C8×D4C22×C37semidirect
1139. #433C22×C37semidirect
1140. #433C22×C37semidirect
1141. #418C22×C37semidirect
1142. #417C22×C37semidirect
1143. #416C22×C37semidirect
1144. #416C22×C37semidirect
1145. #416C22×C37semidirect
1146. C2×#103C22×C37semidirect
1147. C2×#102C22×C37semidirect
1148. C2×#102C22×C37semidirect
1149. #408C22×C37semidirect
1150. #408C22×C37semidirect
1151. C2×C22⋊C8C22×C37semidirect
1152. C2×C22⋊C8C22×C37semidirect
1153. C37#61640direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35412
C37×#34882
C37×#33182
C37×#33172
C37×#33162
C37×#33112
C37×#33042
C37×#33012
C37×#32962
C37×#32952
C37×#32852
C37×#32842
C37×#32822
D4×SD16×C372
C37×#32712
C37×#32702
C37×#32672
C37×#32652
C37×#32242
C37×#32222
C37×#32042
C37×#32012
C37×#31882
C37×#31872
C37×#31252
C37×#31202
C37×#30122
C37×#30092
C37×#30022
C2×C37×#4522
C37×#29772
#6164037