Finite Group Databasebeta

← C37×#61625 #22682878

Subgroups — C37×#61625 #22682878

Order 9472.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3540C211yesmaximal, characteristic, complemented
2C37×#3488C211yesmaximal, characteristic, complemented
3C37×#3325C211yesmaximal, characteristic, complemented
4C37×#3324C211yesmaximal, characteristic, complemented
5C37×#3321C211yesmaximal, characteristic, complemented
6C37×#3319C211yesmaximal, characteristic, complemented
7C37×#3313C211yesmaximal, characteristic, complemented
8C37×#3311C211yesmaximal, characteristic, complemented
9C37×#3305C211yesmaximal, characteristic, complemented
10C37×#3304C211yesmaximal, characteristic, complemented
11C37×#3282C211yesmaximal, characteristic, complemented
12C37×#3280C211yesmaximal, characteristic, complemented
13C37×#3277C211yesmaximal, characteristic, complemented
14C37×#3275C211yesmaximal, characteristic, complemented
15C37×#3271C211yesmaximal, characteristic, complemented
16C37×#3268C211yesmaximal, characteristic, complemented
17C37×#3265C211yesmaximal, characteristic, complemented
18C37×#3264C211yesmaximal, characteristic, complemented
19C37×#3224C211yesmaximal, characteristic, complemented
20C37×#3224C211yesmaximal, characteristic, complemented
21C37×#3201C211yesmaximal, characteristic, complemented
22C37×#3198C211yesmaximal, characteristic, complemented
23C37×#3194C211yesmaximal, characteristic, complemented
24C37×#3188C211yesmaximal, characteristic, complemented
25C37×#3125C211yesmaximal, characteristic, complemented
26C37×#3124C211yesmaximal, characteristic, complemented
27C37×#3009C211yesmaximal, characteristic, complemented
28C37×#3008C211yesmaximal, characteristic, complemented
29C37×#3005C211yesmaximal, characteristic, complemented
30C37×#3002C211yesmaximal, characteristic, complemented
31C37×#2976C211yesmaximal, characteristic, complemented
32C2×H(5,𝔽2)×C37C2211yescharacteristic
33C22×#41×C37C2211yescharacteristic, complemented
34C2×#137×C37C2211yescharacteristic, complemented
35C2×#137×C37C2211yescharacteristic, complemented
36C2×AGL(1,ℤ/8)×C37C2211yescharacteristic, complemented
37C2×AGL(1,ℤ/8)×C37C2211yescharacteristic, complemented
38C2×#135×C37C2211yescharacteristic, complemented
39C2×#135×C37C2211yescharacteristic, complemented
40C22×SD16×C37C2211yescharacteristic, complemented
41C22×D8×C37C2211yescharacteristic, complemented
42C37×H(3,𝔽4)—21no—
43C37×#560—21no—
44C37×#559—21no—
45C37×#556C2211yescharacteristic, complemented
46C37×#556C2211yescharacteristic, complemented
47C37×#555C2211yescharacteristic, complemented
48C37×#555C2211yescharacteristic, complemented
49C37×#551—21no—
50C37×#550C2211yescharacteristic
51C37×#550C2211yescharacteristic, complemented
52C37×#548C2211yescharacteristic
53C37×#548C2211yescharacteristic, complemented
54C37×#548C2211yescharacteristic, complemented
55C37×#548C2211yescharacteristic, complemented
56C37×#546—21no—
57C37×#546—21no—
58C37×#546C2211yescharacteristic
59C37×#546C2211yescharacteristic, complemented
60C37×#546C2211yescharacteristic, complemented
61C37×#546C2211yescharacteristic, complemented
62D42×C37—21no—
63D42×C37—21no—
64D42×C37C2211yescharacteristic
65D42×C37C2211yescharacteristic, complemented
66C37×#542—21no—
67C37×#542—21no—
68C37×#542C2211yescharacteristic, complemented
69C37×#542C2211yescharacteristic, complemented
70C37×#538—21no—
71C37×#538—21no—
72C37×#537—21no—
73C37×#537C2211yescharacteristic
74C37×#536C2211yescharacteristic, complemented
75C37×#535—21no—
76C37×#535C2211yescharacteristic, complemented
77C37×#535C2211yescharacteristic, complemented
78C37×#525—21no—
79C37×#525C2211yescharacteristic
80C37×#525C2211yescharacteristic, complemented
81C37×#525C2211yescharacteristic, complemented
82C2×#121×C37—21no—
83C2×#121×C37C2211yescharacteristic, complemented
84C37×#520C2211yescharacteristic, complemented
85C37×#496C2211yescharacteristic, complemented
86C37×#496C2211yescharacteristic, complemented
87C37×#495C2211yescharacteristic, complemented
88C37×#495C2211yescharacteristic, complemented
89C37×#489C2211yescharacteristic, complemented
90C37×#489C2211yescharacteristic, complemented
91C37×#486C2211yescharacteristic, complemented
92C37×#486C2211yescharacteristic, complemented
93C37×#485C2211yescharacteristic, complemented
94C37×#485C2211yescharacteristic, complemented
95C37×#484C2211yescharacteristic, complemented
96C37×#483C2211yescharacteristic, complemented
97C37×#482C2211yescharacteristic, complemented
98C37×#482C2211yescharacteristic, complemented
99C37×#482C2211yescharacteristic, complemented
100C37×#482C2211yescharacteristic, complemented
101C37×#482C2211yescharacteristic, complemented
102C37×#482C2211yescharacteristic, complemented
103C37×#481C2211yescharacteristic, complemented
104C37×#480C2211yescharacteristic, complemented
105C37×#477C2211yescharacteristic, complemented
106C37×#476C2211yescharacteristic, complemented
107C37×#475C2211yescharacteristic, complemented
108C37×#474C2211yescharacteristic, complemented
109C37×#470C2211yescharacteristic, complemented
110C37×#469C2211yescharacteristic, complemented
111C37×#469C2211yescharacteristic, complemented
112C37×#469C2211yescharacteristic, complemented
113C37×#468C2211yescharacteristic, complemented
114C37×#468C2211yescharacteristic, complemented
115C37×#468C2211yescharacteristic, complemented
116C37×#468C2211yescharacteristic, complemented
117C37×#467C2211yescharacteristic, complemented
118C37×#466C2211yescharacteristic, complemented
119C37×#466C2211yescharacteristic, complemented
120C37×#466C2211yescharacteristic, 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×#463C2211yescharacteristic, complemented
132C37×#463C2211yescharacteristic, complemented
133C37×#460C2211yescharacteristic, complemented
134C37×#460C2211yescharacteristic, complemented
135C37×#459C2211yescharacteristic, complemented
136C37×#459C2211yescharacteristic, complemented
137C37×#452C2211yescharacteristic, complemented
138C37×#452C2211yescharacteristic, complemented
139C37×#452C2211yescharacteristic, complemented
140C37×#452C2211yescharacteristic, complemented
141C37×#452C2211yescharacteristic, complemented
142C37×#452C2211yescharacteristic, complemented
143C37×#452C2211yescharacteristic, complemented
144C37×#452C2211yescharacteristic, complemented
145C37×#451C2211yescharacteristic, complemented
146C37×#451C2211yescharacteristic, complemented
147C37×#450C2211yescharacteristic, complemented
148C37×#450C2211yescharacteristic, complemented
149C37×#450C2211yescharacteristic, complemented
150C37×#450C2211yescharacteristic, complemented
151C37×#450C2211yescharacteristic, complemented
152C37×#450C2211yescharacteristic, complemented
153C37×#449C2211yescharacteristic
154C37×#449C2211yescharacteristic
155C37×#449C2211yescharacteristic, complemented
156C37×#449C2211yescharacteristic, complemented
157C37×#449C2211yescharacteristic, complemented
158C37×#449C2211yescharacteristic, complemented
159C37×#449C2211yescharacteristic, complemented
160C37×#449C2211yescharacteristic, complemented
161C37×#449C2211yescharacteristic, complemented
162C37×#449C2211yescharacteristic, complemented
163C37×#449C2211yescharacteristic, complemented
164C37×#449C2211yescharacteristic, complemented
165C37×#448C2211yescharacteristic, complemented
166C37×#448C2211yescharacteristic, complemented
167C37×#447C2211yescharacteristic, complemented
168C37×#447C2211yescharacteristic, complemented
169C37×#447C2211yescharacteristic, complemented
170C37×#447C2211yescharacteristic, complemented
171C37×#447C2211yescharacteristic, complemented
172C37×#447C2211yescharacteristic, complemented
173C37×#442C2211yescharacteristic, complemented
174C37×#441C2211yescharacteristic, complemented
175C37×#440C2211yescharacteristic, complemented
176C37×#440C2211yescharacteristic, complemented
177C4×Q16×C37C2211yescharacteristic, complemented
178C4×SD16×C37C2211yescharacteristic, complemented
179C4×SD16×C37C2211yescharacteristic, complemented
180C4×D8×C37C2211yescharacteristic, complemented
181C37×#436C2211yescharacteristic, complemented
182C37×#436C2211yescharacteristic, complemented
183C37×#435C2211yescharacteristic, complemented
184C37×#435C2211yescharacteristic, complemented
185C37×#435C2211yescharacteristic, complemented
186C37×#435C2211yescharacteristic, complemented
187C8×D4×C37C2211yescharacteristic, complemented
188C8×D4×C37C2211yescharacteristic, complemented
189C37×#433C2211yescharacteristic, complemented
190C37×#433C2211yescharacteristic, complemented
191C37×#419C2211yescharacteristic, complemented
192C37×#418C2211yescharacteristic, complemented
193C37×#418C2211yescharacteristic, complemented
194C37×#418C2211yescharacteristic, complemented
195C37×#416C2211yescharacteristic, complemented
196C37×#416C2211yescharacteristic, complemented
197C37×#416C2211yescharacteristic, complemented
198C37×#416C2211yescharacteristic, complemented
199C37×#408C2211yescharacteristic, complemented
200C37×#408C2211yescharacteristic, complemented
201C37×#407C2211yescharacteristic, 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×D4×C37—21no—
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×C37C2311yescharacteristic
229C22×D4×C37C2311yescharacteristic
230C22×D4×C37C2311yescharacteristic
231C22×D4×C37C2311yescharacteristic
232C22×D4×C37C2311yescharacteristic
233C23×C4×C37—21no—
234C23×C4×C37C2311yescharacteristic
235#137×C37—42no—
236#137×C37—42no—
237AGL(1,ℤ/8)×C37—42no—
238AGL(1,ℤ/8)×C37—42no—
239#135×C37—42no—
240#135×C37—42no—
241C2×Q16×C37C2311yescharacteristic
242C2×Q16×C37C2311yescharacteristic
243C2×Q16×C37C2311yescharacteristic
244C2×Q16×C37C2311yescharacteristic
245C2×SD16×C37—42no—
246C2×SD16×C37C2311yescharacteristic
247C2×SD16×C37C2311yescharacteristic
248C2×SD16×C37C2311yescharacteristic
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×D8×C37—42no—
259C2×D8×C37C2311yescharacteristic
260C2×D8×C37C2311yescharacteristic
261C2×D8×C37C2311yescharacteristic
262C2×D8×C37C2311yescharacteristic
263C2×D8×C37C2311yescharacteristic
264C2×D8×C37C2311yescharacteristic
265C2×D8×C37C2311yescharacteristic
266C2×D8×C37C2311yescharacteristic
267C2×M16×C37C2311yescharacteristic
268C2×M16×C37C2311yescharacteristic
269C2×M16×C37C2311yescharacteristic
270C2×M16×C37C2311yescharacteristic
271C22×C8×C37C2311yescharacteristic
272C22×C8×C37C2311yescharacteristic
273C22×C8×C37C2311yescharacteristic
274C22×C8×C37C2311yescharacteristic
275C4⋊Q8×C37—21no—
276C4⋊Q8×C37C2311yescharacteristic
277C4⋊Q8×C37C2311yescharacteristic
278#127×C37—21no—
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#124×C37—21no—
290#124×C37—21no—
291#124×C37—21no—
292#124×C37—21no—
293#124×C37—21no—
294#124×C37—21no—
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×C37—21no—
303#124×C37C2311yescharacteristic
304#124×C37C2311yescharacteristic
305#124×C37C2311yescharacteristic
306#124×C37C2311yescharacteristic
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×C37—21no—
316#123×C37—21no—
317#123×C37D411yescharacteristic
318#123×C37D411yescharacteristic
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×C37D411yescharacteristic
327C22⋊Q8×C37D411yescharacteristic
328C22⋊Q8×C37C2311yescharacteristic
329C22⋊Q8×C37C2311yescharacteristic
330C22⋊Q8×C37C2311yescharacteristic
331C22⋊Q8×C37C2311yescharacteristic
332C22⋊Q8×C37C2311yescharacteristic
333C22⋊Q8×C37C2311yescharacteristic
334C22⋊Q8×C37C2311yescharacteristic
335C22⋊Q8×C37C2311yescharacteristic
336#121×C37—21no—
337#121×C37—21no—
338#121×C37—21no—
339#121×C37—21no—
340#121×C37—21no—
341#121×C37—21no—
342#121×C37—21no—
343#121×C37—21no—
344#121×C37—21no—
345#121×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×C37D411yescharacteristic
360#121×C37D411yescharacteristic
361#121×C37C2311yescharacteristic
362#121×C37C2311yescharacteristic
363#121×C37C2311yescharacteristic
364#121×C37C2311yescharacteristic
365#121×C37C2311yescharacteristic
366#121×C37C2311yescharacteristic
367#121×C37C2311yescharacteristic
368#121×C37C2311yescharacteristic
369#121×C37C2311yescharacteristic
370#121×C37C2311yescharacteristic
371#121×C37C2311yescharacteristic
372#121×C37C2311yescharacteristic
373#120×C37—21no—
374#120×C37—21no—
375#120×C37—21no—
376#120×C37—21no—
377#120×C37—21no—
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×C37—21no—
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×C37C2311yescharacteristic
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×C37—21no—
418#117×C37C2311yescharacteristic
419#117×C37C2311yescharacteristic
420#117×C37C2311yescharacteristic
421#117×C37C2311yescharacteristic
422#117×C37C2311yescharacteristic
423C2×C4⋊C4×C37—21no—
424C2×C4⋊C4×C37C2311yescharacteristic
425C2×C22⋊C4×C37—21no—
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#107×C37C2311yescharacteristic
433#107×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#102×C37C2311yescharacteristic
455#102×C37C2311yescharacteristic
456#102×C37C2311yescharacteristic
457#102×C37C2311yescharacteristic
458#102×C37C2311yescharacteristic
459#102×C37C2311yescharacteristic
460#102×C37C2311yescharacteristic
461#102×C37C2311yescharacteristic
462#102×C37C2311yescharacteristic
463#102×C37C2311yescharacteristic
464#102×C37C2311yescharacteristic
465#102×C37C2311yescharacteristic
466#102×C37C2311yescharacteristic
467#102×C37C2311yescharacteristic
468#102×C37C2311yescharacteristic
469#102×C37C2311yescharacteristic
470#102×C37C2311yescharacteristic
471#102×C37C2311yescharacteristic
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×C37—21no—
495C24×C37C2×D411yescharacteristic
496#41×C37—22no—
497#41×C37—22no—
498#41×C37—22no—
499#41×C37—22no—
500#41×C37—22no—
501#41×C37—22no—
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—41no—
510#41×C37—44no—
511#41×C37—44no—
512#41×C37—41no—
513#41×C37—41no—
514#41×C37—41no—
515#41×C37—41no—
516#41×C37—44no—
517C2×Q8×C37—21no—
518C2×Q8×C37—21no—
519C2×Q8×C37—21no—
520C2×Q8×C37—21no—
521C2×Q8×C37—22no—
522C2×Q8×C37—41no—
523C2×Q8×C37—41no—
524C2×Q8×C37—41no—
525C2×Q8×C37C2×D411yescharacteristic
526C2×Q8×C37C2411yescharacteristic
527C2×Q8×C37C2411yescharacteristic
528C2×Q8×C37C2411yescharacteristic
529C2×Q8×C37C2411yescharacteristic
530C2×D4×C37—21no—
531C2×D4×C37—22no—
532C2×D4×C37—22no—
533C2×D4×C37—22no—
534C2×D4×C37—21no—
535C2×D4×C37—21no—
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—21no—
561C2×D4×C37—21no—
562C2×D4×C37—41no—
563C2×D4×C37—41no—
564C2×D4×C37—41no—
565C2×D4×C37—41no—
566C2×D4×C37—41no—
567C2×D4×C37—41no—
568C2×D4×C37—41no—
569C2×D4×C37—44no—
570C2×D4×C37—44no—
571C2×D4×C37—44no—
572C2×D4×C37—44no—
573C2×D4×C37—82no—
574C2×D4×C37—82no—
575C2×D4×C37—82no—
576C2×D4×C37C2×D411yescharacteristic
577C2×D4×C37C2×D411yescharacteristic
578C2×D4×C37C2×D411yescharacteristic
579C2×D4×C37C2×D411yescharacteristic
580C2×D4×C37C2×D411yescharacteristic
581C2×D4×C37C2×D411yescharacteristic
582C2×D4×C37C2×D411yescharacteristic
583C2×D4×C37C2411yescharacteristic
584C2×D4×C37C2411yescharacteristic
585C2×D4×C37C2411yescharacteristic
586C2×D4×C37C2411yescharacteristic
587C2×D4×C37C2411yescharacteristic
588C2×D4×C37C2411yescharacteristic
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—21no—
602C22×C4×C37—21no—
603C22×C4×C37—21no—
604C22×C4×C37—41no—
605C22×C4×C37—41no—
606C22×C4×C37—44no—
607C22×C4×C37C2×D411yescharacteristic
608C22×C4×C37C2×D411yescharacteristic
609C22×C4×C37C2×D411yescharacteristic
610C22×C4×C37C2411yescharacteristic
611C22×C4×C37C2411yescharacteristic
612C22×C4×C37C2411yescharacteristic
613C22×C4×C37C2411yescharacteristic
614C22×C4×C37C2411yescharacteristic
615Q16×C37—22no—
616Q16×C37—22no—
617Q16×C37—41no—
618Q16×C37—41no—
619SD16×C37—22no—
620SD16×C37—22no—
621SD16×C37—22no—
622SD16×C37—22no—
623SD16×C37—41no—
624SD16×C37—41no—
625SD16×C37—41no—
626SD16×C37—41no—
627SD16×C37—41no—
628SD16×C37—41no—
629SD16×C37—41no—
630SD16×C37—41no—
631D8×C37—22no—
632D8×C37—22no—
633D8×C37—41no—
634D8×C37—41no—
635D8×C37—41no—
636D8×C37—41no—
637D8×C37—41no—
638D8×C37—41no—
639M16×C37—41no—
640M16×C37—41no—
641M16×C37—41no—
642M16×C37—41no—
643C2×C8×C37—41no—
644C2×C8×C37—41no—
645C2×C8×C37—41no—
646C2×C8×C37—41no—
647C2×C8×C37C2411yescharacteristic
648C2×C8×C37C2411yescharacteristic
649C2×C8×C37C2411yescharacteristic
650C2×C8×C37C2411yescharacteristic
651C2×C8×C37C2411yescharacteristic
652C2×C8×C37C2411yescharacteristic
653C2×C8×C37C2411yescharacteristic
654C2×C8×C37C2411yescharacteristic
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×C37C2×D411yescharacteristic
671C4⋊C4×C37C2×D411yescharacteristic
672C4⋊C4×C37C2×D411yescharacteristic
673C4⋊C4×C37C2×D411yescharacteristic
674C4⋊C4×C37C2×D411yescharacteristic
675C4⋊C4×C37C2×D411yescharacteristic
676C4⋊C4×C37C2411yescharacteristic
677C4⋊C4×C37C2411yescharacteristic
678C4⋊C4×C37C2411yescharacteristic
679C4⋊C4×C37C2411yescharacteristic
680C4⋊C4×C37C2411yescharacteristic
681C4⋊C4×C37C2411yescharacteristic
682C22⋊C4×C37—21no—
683C22⋊C4×C37—21no—
684C22⋊C4×C37—21no—
685C22⋊C4×C37—21no—
686C22⋊C4×C37—21no—
687C22⋊C4×C37—21no—
688C22⋊C4×C37—21no—
689C22⋊C4×C37—21no—
690C22⋊C4×C37—21no—
691C22⋊C4×C37—21no—
692C22⋊C4×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×C37C2×D411yescharacteristic
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
728C42×C37—21no—
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—21no—
740C23×C37—21no—
741C23×C37—21no—
742C23×C37—21no—
743C23×C37—21no—
744C23×C37—41no—
745C23×C37—41no—
746C23×C37—41no—
747C23×C37—42no—
748C23×C37—42no—
749C23×C37—42no—
750C23×C37—42no—
751C23×C37—42no—
752C23×C37—81no—
753C23×C37—81no—
754C23×C37—81no—
755C23×C37—81no—
756C23×C37—81no—
757C23×C37—81no—
758C23×C37—81no—
759C23×C37—81no—
760C23×C37—81no—
761C23×C37—81no—
762C23×C37C22×D411yescharacteristic
763C23×C37C22×D411yescharacteristic
764C23×C37C22×D411yescharacteristic
765C23×C37C22×D411yescharacteristic
766C23×C37C22×D411yescharacteristic
767Q8×C37—21no—
768Q8×C37—21no—
769Q8×C37—21no—
770Q8×C37—21no—
771Q8×C37—21no—
772Q8×C37—21no—
773Q8×C37—21no—
774Q8×C37—41no—
775Q8×C37—42no—
776Q8×C37—81no—
777Q8×C37—81no—
778Q8×C37—81no—
779Q8×C37H(5,𝔽2)12yes—
780D4×C37—24no—
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—21no—
791D4×C37—21no—
792D4×C37—41no—
793D4×C37—41no—
794D4×C37—41no—
795D4×C37—41no—
796D4×C37—41no—
797D4×C37—41no—
798D4×C37—41no—
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—42no—
808D4×C37—42no—
809D4×C37—42no—
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×C37—81no—
820D4×C37—81no—
821D4×C37—81no—
822D4×C37—81no—
823D4×C37—81no—
824D4×C37—81no—
825D4×C37—81no—
826D4×C37—81no—
827D4×C37H(5,𝔽2)12yes—
828C2×C4×C37—24no—
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—21no—
843C2×C4×C37—21no—
844C2×C4×C37—21no—
845C2×C4×C37—21no—
846C2×C4×C37—21no—
847C2×C4×C37—21no—
848C2×C4×C37—21no—
849C2×C4×C37—41no—
850C2×C4×C37—41no—
851C2×C4×C37—41no—
852C2×C4×C37—42no—
853C2×C4×C37—42no—
854C2×C4×C37—42no—
855C2×C4×C37—42no—
856C2×C4×C37—42no—
857C2×C4×C37—42no—
858C2×C4×C37—81no—
859C2×C4×C37—81no—
860C2×C4×C37—81no—
861C2×C4×C37—81no—
862C2×C4×C37—81no—
863C2×C4×C37—81no—
864C2×C4×C37—81no—
865C2×C4×C37—81no—
866C2×C4×C37C22×D411yescharacteristic
867C2×C4×C37C22×D411yescharacteristic
868C2×C4×C37C22×D411yescharacteristic
869C2×C4×C37C22×D411yescharacteristic
870C2×C4×C37C22×D411yescharacteristic
871C2×C4×C37C22×D411yescharacteristic
872C2×C4×C37C22×D411yescharacteristic
873C2×C4×C37C22×D411yescharacteristic
874C2×C4×C37C22×D411yescharacteristic
875C2×C4×C37C2511yescharacteristic
876C8×C37—21no—
877C8×C37—21no—
878C8×C37—21no—
879C8×C37—21no—
880C8×C37—21no—
881C8×C37—21no—
882C8×C37—21no—
883C8×C37—21no—
884#61625C3711yesmaximal, characteristic, direct product factor, Sylow
885C22×C37—21no—
886C22×C37—21no—
887C22×C37—21no—
888C22×C37—21no—
889C22×C37—21no—
890C22×C37—21no—
891C22×C37—21no—
892C22×C37—21no—
893C22×C37—21no—
894C22×C37—21no—
895C22×C37—21no—
896C22×C37—21no—
897C22×C37—22no—
898C22×C37—21no—
899C22×C37—21no—
900C22×C37—21no—
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—41no—
910C22×C37—41no—
911C22×C37—41no—
912C22×C37—41no—
913C22×C37—41no—
914C22×C37—41no—
915C22×C37—41no—
916C22×C37—41no—
917C22×C37—41no—
918C22×C37—82no—
919C22×C37—84no—
920C22×C37—162no—
921C22×C37—162no—
922C22×C37—162no—
923C22×C37—162no—
924C22×C37C23×D411yescharacteristic
925C4×C37—21no—
926C4×C37—21no—
927C4×C37—21no—
928C4×C37—21no—
929C4×C37—21no—
930C4×C37—22no—
931C4×C37—21no—
932C4×C37—21no—
933C4×C37—21no—
934C4×C37—21no—
935C4×C37—41no—
936C4×C37—41no—
937C4×C37—41no—
938C4×C37—41no—
939C4×C37—41no—
940C4×C37—41no—
941C4×C37—41no—
942C4×C37—41no—
943C4×C37—41no—
944C4×C37C2×H(5,𝔽2)11yescharacteristic
945C4×C37C2×H(5,𝔽2)11yescharacteristic
946#3540C2×C3711yescharacteristic, complemented
947#3488C2×C3711yescharacteristic, complemented
948#3325C2×C3711yescharacteristic, complemented
949#3324C2×C3711yescharacteristic, complemented
950#3321C2×C3711yescharacteristic, complemented
951#3319C2×C3711yescharacteristic, complemented
952#3313C2×C3711yescharacteristic, complemented
953#3311C2×C3711yescharacteristic, complemented
954#3305C2×C3711yescharacteristic, complemented
955#3304C2×C3711yescharacteristic, complemented
956#3282C2×C3711yescharacteristic, complemented
957#3280C2×C3711yescharacteristic, complemented
958#3277C2×C3711yescharacteristic, complemented
959#3275C2×C3711yescharacteristic, complemented
960#3271C2×C3711yescharacteristic, complemented
961#3268C2×C3711yescharacteristic, complemented
962#3265C2×C3711yescharacteristic, complemented
963#3264C2×C3711yescharacteristic, complemented
964#3224C2×C3711yescharacteristic, complemented
965#3224C2×C3711yescharacteristic, complemented
966#3201C2×C3711yescharacteristic, complemented
967#3198C2×C3711yescharacteristic, complemented
968#3194C2×C3711yescharacteristic, complemented
969#3188C2×C3711yescharacteristic, complemented
970#3125C2×C3711yescharacteristic, complemented
971#3124C2×C3711yescharacteristic, complemented
972#3009C2×C3711yescharacteristic, complemented
973#3008C2×C3711yescharacteristic, complemented
974#3005C2×C3711yescharacteristic, complemented
975#3002C2×C3711yescharacteristic, complemented
976#2976C2×C3711yescharacteristic, complemented
977C2×C37—41no—
978C2×C37—41no—
979C2×C37—41no—
980C2×C37—41no—
981C2×C37—41no—
982C2×C37—42no—
983C2×C37—81no—
984C2×C37—81no—
985C2×C37—81no—
986C2×C37—81no—
987C2×C37—81no—
988C2×C37#348411yescharacteristic
989C2×C37#358411yescharacteristic
990C2×C37#358511yescharacteristic
991C2×H(5,𝔽2)C22×C3711yescharacteristic
992C22×#41C22×C3711yescharacteristic, complemented
993C2×#137C22×C3711yescharacteristic, complemented
994C2×#137C22×C3711yescharacteristic, complemented
995C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
996C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
997C2×#135C22×C3711yescharacteristic, complemented
998C2×#135C22×C3711yescharacteristic, complemented
999C22×SD16C22×C3711yescharacteristic, complemented
1000C22×D8C22×C3711yescharacteristic, complemented
1001H(3,𝔽4)—21no—
1002#560—21no—
1003#559—21no—
1004#556C22×C3711yescharacteristic, complemented
1005#556C22×C3711yescharacteristic, complemented
1006#555C22×C3711yescharacteristic, complemented
1007#555C22×C3711yescharacteristic, complemented
1008#551—21no—
1009#550C22×C3711yescharacteristic
1010#550C22×C3711yescharacteristic, complemented
1011#548C22×C3711yescharacteristic
1012#548C22×C3711yescharacteristic, complemented
1013#548C22×C3711yescharacteristic, complemented
1014#548C22×C3711yescharacteristic, complemented
1015#546—21no—
1016#546—21no—
1017#546C22×C3711yescharacteristic
1018#546C22×C3711yescharacteristic, complemented
1019#546C22×C3711yescharacteristic, complemented
1020#546C22×C3711yescharacteristic, complemented
1021D42—21no—
1022D42—21no—
1023D42C22×C3711yescharacteristic
1024D42C22×C3711yescharacteristic, complemented
1025#542—21no—
1026#542—21no—
1027#542C22×C3711yescharacteristic, complemented
1028#542C22×C3711yescharacteristic, complemented
1029#538—21no—
1030#538—21no—
1031#537—21no—
1032#537C22×C3711yescharacteristic
1033#536C22×C3711yescharacteristic, complemented
1034#535—21no—
1035#535C22×C3711yescharacteristic, complemented
1036#535C22×C3711yescharacteristic, complemented
1037#525—21no—
1038#525C22×C3711yescharacteristic
1039#525C22×C3711yescharacteristic, complemented
1040#525C22×C3711yescharacteristic, complemented
1041C2×#121—21no—
1042C2×#121C22×C3711yescharacteristic, complemented
1043#520C22×C3711yescharacteristic, complemented
1044#496C22×C3711yescharacteristic, complemented
1045#496C22×C3711yescharacteristic, complemented
1046#495C22×C3711yescharacteristic, complemented
1047#495C22×C3711yescharacteristic, complemented
1048#489C22×C3711yescharacteristic, complemented
1049#489C22×C3711yescharacteristic, complemented
1050#486C22×C3711yescharacteristic, complemented
1051#486C22×C3711yescharacteristic, complemented
1052#485C22×C3711yescharacteristic, complemented
1053#485C22×C3711yescharacteristic, complemented
1054#484C22×C3711yescharacteristic, complemented
1055#483C22×C3711yescharacteristic, complemented
1056#482C22×C3711yescharacteristic, complemented
1057#482C22×C3711yescharacteristic, complemented
1058#482C22×C3711yescharacteristic, complemented
1059#482C22×C3711yescharacteristic, complemented
1060#482C22×C3711yescharacteristic, complemented
1061#482C22×C3711yescharacteristic, complemented
1062#481C22×C3711yescharacteristic, complemented
1063#480C22×C3711yescharacteristic, complemented
1064#477C22×C3711yescharacteristic, complemented
1065#476C22×C3711yescharacteristic, complemented
1066#475C22×C3711yescharacteristic, complemented
1067#474C22×C3711yescharacteristic, complemented
1068#470C22×C3711yescharacteristic, complemented
1069#469C22×C3711yescharacteristic, complemented
1070#469C22×C3711yescharacteristic, complemented
1071#469C22×C3711yescharacteristic, complemented
1072#468C22×C3711yescharacteristic, complemented
1073#468C22×C3711yescharacteristic, complemented
1074#468C22×C3711yescharacteristic, complemented
1075#468C22×C3711yescharacteristic, complemented
1076#467C22×C3711yescharacteristic, complemented
1077#466C22×C3711yescharacteristic, complemented
1078#466C22×C3711yescharacteristic, complemented
1079#466C22×C3711yescharacteristic, complemented
1080#465C22×C3711yescharacteristic, complemented
1081#465C22×C3711yescharacteristic, complemented
1082#465C22×C3711yescharacteristic, complemented
1083#465C22×C3711yescharacteristic, complemented
1084#464C22×C3711yescharacteristic, complemented
1085#464C22×C3711yescharacteristic, complemented
1086#464C22×C3711yescharacteristic, complemented
1087#464C22×C3711yescharacteristic, complemented
1088#463C22×C3711yescharacteristic, complemented
1089#463C22×C3711yescharacteristic, complemented
1090#463C22×C3711yescharacteristic, complemented
1091#463C22×C3711yescharacteristic, complemented
1092#460C22×C3711yescharacteristic, complemented
1093#460C22×C3711yescharacteristic, complemented
1094#459C22×C3711yescharacteristic, complemented
1095#459C22×C3711yescharacteristic, complemented
1096#452C22×C3711yescharacteristic, complemented
1097#452C22×C3711yescharacteristic, complemented
1098#452C22×C3711yescharacteristic, complemented
1099#452C22×C3711yescharacteristic, complemented
1100#452C22×C3711yescharacteristic, complemented
1101#452C22×C3711yescharacteristic, complemented
1102#452C22×C3711yescharacteristic, complemented
1103#452C22×C3711yescharacteristic, complemented
1104#451C22×C3711yescharacteristic, complemented
1105#451C22×C3711yescharacteristic, complemented
1106#450C22×C3711yescharacteristic, complemented
1107#450C22×C3711yescharacteristic, complemented
1108#450C22×C3711yescharacteristic, complemented
1109#450C22×C3711yescharacteristic, complemented
1110#450C22×C3711yescharacteristic, complemented
1111#450C22×C3711yescharacteristic, complemented
1112#449C22×C3711yescharacteristic
1113#449C22×C3711yescharacteristic
1114#449C22×C3711yescharacteristic, complemented
1115#449C22×C3711yescharacteristic, complemented
1116#449C22×C3711yescharacteristic, complemented
1117#449C22×C3711yescharacteristic, complemented
1118#449C22×C3711yescharacteristic, complemented
1119#449C22×C3711yescharacteristic, complemented
1120#449C22×C3711yescharacteristic, complemented
1121#449C22×C3711yescharacteristic, complemented
1122#449C22×C3711yescharacteristic, complemented
1123#449C22×C3711yescharacteristic, complemented
1124#448C22×C3711yescharacteristic, complemented
1125#448C22×C3711yescharacteristic, complemented
1126#447C22×C3711yescharacteristic, complemented
1127#447C22×C3711yescharacteristic, complemented
1128#447C22×C3711yescharacteristic, complemented
1129#447C22×C3711yescharacteristic, complemented
1130#447C22×C3711yescharacteristic, complemented
1131#447C22×C3711yescharacteristic, complemented
1132#442C22×C3711yescharacteristic, complemented
1133#441C22×C3711yescharacteristic, complemented
1134#440C22×C3711yescharacteristic, complemented
1135#440C22×C3711yescharacteristic, complemented
1136C4×Q16C22×C3711yescharacteristic, complemented
1137C4×SD16C22×C3711yescharacteristic, complemented
1138C4×SD16C22×C3711yescharacteristic, complemented
1139C4×D8C22×C3711yescharacteristic, complemented
1140#436C22×C3711yescharacteristic, complemented
1141#436C22×C3711yescharacteristic, complemented
1142#435C22×C3711yescharacteristic, complemented
1143#435C22×C3711yescharacteristic, complemented
1144#435C22×C3711yescharacteristic, complemented
1145#435C22×C3711yescharacteristic, complemented
1146C8×D4C22×C3711yescharacteristic, complemented
1147C8×D4C22×C3711yescharacteristic, complemented
1148#433C22×C3711yescharacteristic, complemented
1149#433C22×C3711yescharacteristic, complemented
1150#419C22×C3711yescharacteristic, complemented
1151#418C22×C3711yescharacteristic, complemented
1152#418C22×C3711yescharacteristic, complemented
1153#418C22×C3711yescharacteristic, complemented
1154#416C22×C3711yescharacteristic, complemented
1155#416C22×C3711yescharacteristic, complemented
1156#416C22×C3711yescharacteristic, complemented
1157#416C22×C3711yescharacteristic, complemented
1158#408C22×C3711yescharacteristic, complemented
1159#408C22×C3711yescharacteristic, complemented
1160#407C22×C3711yescharacteristic, complemented
1161C2×C22⋊C8C22×C3711yescharacteristic, complemented
1162C37#6162511yescharacteristic, direct product factor, Sylow
1163H(5,𝔽2)—42no—
1164H(5,𝔽2)—42no—
1165C2×#41—21no—
1166C2×#41—21no—
1167C2×#41—21no—
1168C2×#41—42no—
1169C2×#41—42no—
1170C2×#41C23×C3711yescharacteristic
1171C2×#41C23×C3711yescharacteristic
1172C2×#41C23×C3711yescharacteristic
1173C2×#41C23×C3711yescharacteristic
1174C2×#41C23×C3711yescharacteristic
1175C2×#41C23×C3711yescharacteristic
1176C2×#41C23×C3711yescharacteristic
1177C2×#41C23×C3711yescharacteristic
1178C2×#41C23×C3711yescharacteristic
1179C22×Q8C23×C3711yescharacteristic
1180C22×Q8C23×C3711yescharacteristic
1181C22×D4—21no—
1182C22×D4—21no—
1183C22×D4—21no—
1184C22×D4—21no—
1185C22×D4—21no—
1186C22×D4—21no—
1187C22×D4—21no—
1188C22×D4C23×C3711yescharacteristic
1189C22×D4C23×C3711yescharacteristic
1190C22×D4C23×C3711yescharacteristic
1191C22×D4C23×C3711yescharacteristic
1192C22×D4C23×C3711yescharacteristic
1193C23×C4—21no—
1194C23×C4C23×C3711yescharacteristic
1195#137—42no—
1196#137—42no—
1197AGL(1,ℤ/8)—42no—
1198AGL(1,ℤ/8)—42no—
1199#135—42no—
1200#135—42no—
1201C2×Q16C23×C3711yescharacteristic
1202C2×Q16C23×C3711yescharacteristic
1203C2×Q16C23×C3711yescharacteristic
1204C2×Q16C23×C3711yescharacteristic
1205C2×SD16—42no—
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×SD16C23×C3711yescharacteristic
1215C2×SD16C23×C3711yescharacteristic
1216C2×SD16C23×C3711yescharacteristic
1217C2×SD16C23×C3711yescharacteristic
1218C2×D8—42no—
1219C2×D8C23×C3711yescharacteristic
1220C2×D8C23×C3711yescharacteristic
1221C2×D8C23×C3711yescharacteristic
1222C2×D8C23×C3711yescharacteristic
1223C2×D8C23×C3711yescharacteristic
1224C2×D8C23×C3711yescharacteristic
1225C2×D8C23×C3711yescharacteristic
1226C2×D8C23×C3711yescharacteristic
1227C2×M16C23×C3711yescharacteristic
1228C2×M16C23×C3711yescharacteristic
1229C2×M16C23×C3711yescharacteristic
1230C2×M16C23×C3711yescharacteristic
1231C22×C8C23×C3711yescharacteristic
1232C22×C8C23×C3711yescharacteristic
1233C22×C8C23×C3711yescharacteristic
1234C22×C8C23×C3711yescharacteristic
1235C4⋊Q8—21no—
1236C4⋊Q8C23×C3711yescharacteristic
1237C4⋊Q8C23×C3711yescharacteristic
1238#127—21no—
1239#127—21no—
1240#127—21no—
1241#127C23×C3711yescharacteristic
1242#127C23×C3711yescharacteristic
1243#126—21no—
1244#126—21no—
1245#126—21no—
1246#126—21no—
1247#126—21no—
1248#126—21no—
1249#124—21no—
1250#124—21no—
1251#124—21no—
1252#124—21no—
1253#124—21no—
1254#124—21no—
1255#124—21no—
1256#124—21no—
1257#124—21no—
1258#124—21no—
1259#124—21no—
1260#124—21no—
1261#124—21no—
1262#124—21no—
1263#124C23×C3711yescharacteristic
1264#124C23×C3711yescharacteristic
1265#124C23×C3711yescharacteristic
1266#124C23×C3711yescharacteristic
1267#123—21no—
1268#123—21no—
1269#123—21no—
1270#123—21no—
1271#123—21no—
1272#123—21no—
1273#123—21no—
1274#123—21no—
1275#123—21no—
1276#123—21no—
1277#123D4×C3711yescharacteristic
1278#123D4×C3711yescharacteristic
1279C22⋊Q8—21no—
1280C22⋊Q8—21no—
1281C22⋊Q8—21no—
1282C22⋊Q8—21no—
1283C22⋊Q8—21no—
1284C22⋊Q8—21no—
1285C22⋊Q8—21no—
1286C22⋊Q8D4×C3711yescharacteristic
1287C22⋊Q8D4×C3711yescharacteristic
1288C22⋊Q8C23×C3711yescharacteristic
1289C22⋊Q8C23×C3711yescharacteristic
1290C22⋊Q8C23×C3711yescharacteristic
1291C22⋊Q8C23×C3711yescharacteristic
1292C22⋊Q8C23×C3711yescharacteristic
1293C22⋊Q8C23×C3711yescharacteristic
1294C22⋊Q8C23×C3711yescharacteristic
1295C22⋊Q8C23×C3711yescharacteristic
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#121—21no—
1319#121D4×C3711yescharacteristic
1320#121D4×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#121C23×C3711yescharacteristic
1330#121C23×C3711yescharacteristic
1331#121C23×C3711yescharacteristic
1332#121C23×C3711yescharacteristic
1333#120—21no—
1334#120—21no—
1335#120—21no—
1336#120—21no—
1337#120—21no—
1338#120—21no—
1339#120—21no—
1340#120—21no—
1341#120—21no—
1342#120—21no—
1343#120—21no—
1344#120—21no—
1345#120—21no—
1346#120—21no—
1347#120D4×C3711yescharacteristic
1348#120D4×C3711yescharacteristic
1349C4×Q8—21no—
1350C4×Q8—21no—
1351C4×Q8C23×C3711yescharacteristic
1352C4×Q8C23×C3711yescharacteristic
1353C4×Q8C23×C3711yescharacteristic
1354C4×Q8C23×C3711yescharacteristic
1355C4×D4—21no—
1356C4×D4—21no—
1357C4×D4—21no—
1358C4×D4—21no—
1359C4×D4—21no—
1360C4×D4—21no—
1361C4×D4—21no—
1362C4×D4—21no—
1363C4×D4—21no—
1364C4×D4—21no—
1365C4×D4—21no—
1366C4×D4—21no—
1367C4×D4C23×C3711yescharacteristic
1368C4×D4C23×C3711yescharacteristic
1369C4×D4C23×C3711yescharacteristic
1370C4×D4C23×C3711yescharacteristic
1371C4×D4C23×C3711yescharacteristic
1372C4×D4C23×C3711yescharacteristic
1373C4×D4C23×C3711yescharacteristic
1374C4×D4C23×C3711yescharacteristic
1375#117—21no—
1376#117—21no—
1377#117—21no—
1378#117C23×C3711yescharacteristic
1379#117C23×C3711yescharacteristic
1380#117C23×C3711yescharacteristic
1381#117C23×C3711yescharacteristic
1382#117C23×C3711yescharacteristic
1383C2×C4⋊C4—21no—
1384C2×C4⋊C4C23×C3711yescharacteristic
1385C2×C22⋊C4—21no—
1386C2×C22⋊C4—21no—
1387C2×C22⋊C4—21no—
1388C2×C22⋊C4—21no—
1389C2×C22⋊C4—21no—
1390#107C23×C3711yescharacteristic
1391#107C23×C3711yescharacteristic
1392#107C23×C3711yescharacteristic
1393#107C23×C3711yescharacteristic
1394#106C23×C3711yescharacteristic
1395#106C23×C3711yescharacteristic
1396#106C23×C3711yescharacteristic
1397#106C23×C3711yescharacteristic
1398C4⋊C8C23×C3711yescharacteristic
1399C4⋊C8C23×C3711yescharacteristic
1400C4⋊C8C23×C3711yescharacteristic
1401C4⋊C8C23×C3711yescharacteristic
1402#103C23×C3711yescharacteristic
1403#103C23×C3711yescharacteristic
1404#103C23×C3711yescharacteristic
1405#103C23×C3711yescharacteristic
1406#103C23×C3711yescharacteristic
1407#103C23×C3711yescharacteristic
1408#103C23×C3711yescharacteristic
1409#103C23×C3711yescharacteristic
1410#103C23×C3711yescharacteristic
1411#103C23×C3711yescharacteristic
1412#103C23×C3711yescharacteristic
1413#103C23×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
1425#102C23×C3711yescharacteristic
1426#102C23×C3711yescharacteristic
1427#102C23×C3711yescharacteristic
1428#102C23×C3711yescharacteristic
1429#102C23×C3711yescharacteristic
1430#102C23×C3711yescharacteristic
1431#102C23×C3711yescharacteristic
1432#102C23×C3711yescharacteristic
1433#102C23×C3711yescharacteristic
1434C22⋊C8C23×C3711yescharacteristic
1435C22⋊C8C23×C3711yescharacteristic
1436C22⋊C8C23×C3711yescharacteristic
1437C22⋊C8C23×C3711yescharacteristic
1438C22⋊C8C23×C3711yescharacteristic
1439C22⋊C8C23×C3711yescharacteristic
1440C22⋊C8C23×C3711yescharacteristic
1441C22⋊C8C23×C3711yescharacteristic
1442C22⋊C8C23×C3711yescharacteristic
1443C22⋊C8C23×C3711yescharacteristic
1444C22⋊C8C23×C3711yescharacteristic
1445C22⋊C8C23×C3711yescharacteristic
1446#97C23×C3711yescharacteristic
1447#97C23×C3711yescharacteristic
1448C4×C8C23×C3711yescharacteristic
1449C4×C8C23×C3711yescharacteristic
1450C24—21no—
1451C24—21no—
1452C24—21no—
1453C24—21no—
1454C24—21no—
1455C24C2×D4×C3711yescharacteristic
1456#41—22no—
1457#41—22no—
1458#41—22no—
1459#41—22no—
1460#41—22no—
1461#41—22no—
1462#41—41no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—41no—
1468#41—41no—
1469#41—41no—
1470#41—44no—
1471#41—44no—
1472#41—41no—
1473#41—41no—
1474#41—41no—
1475#41—41no—
1476#41—44no—
1477C2×Q8—21no—
1478C2×Q8—21no—
1479C2×Q8—21no—
1480C2×Q8—21no—
1481C2×Q8—22no—
1482C2×Q8—41no—
1483C2×Q8—41no—
1484C2×Q8—41no—
1485C2×Q8C2×D4×C3711yescharacteristic
1486C2×Q8C24×C3711yescharacteristic
1487C2×Q8C24×C3711yescharacteristic
1488C2×Q8C24×C3711yescharacteristic
1489C2×Q8C24×C3711yescharacteristic
1490C2×D4—21no—
1491C2×D4—22no—
1492C2×D4—22no—
1493C2×D4—22no—
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—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—41no—
1523C2×D4—41no—
1524C2×D4—41no—
1525C2×D4—41no—
1526C2×D4—41no—
1527C2×D4—41no—
1528C2×D4—41no—
1529C2×D4—44no—
1530C2×D4—44no—
1531C2×D4—44no—
1532C2×D4—44no—
1533C2×D4—82no—
1534C2×D4—82no—
1535C2×D4—82no—
1536C2×D4C2×D4×C3711yescharacteristic
1537C2×D4C2×D4×C3711yescharacteristic
1538C2×D4C2×D4×C3711yescharacteristic
1539C2×D4C2×D4×C3711yescharacteristic
1540C2×D4C2×D4×C3711yescharacteristic
1541C2×D4C2×D4×C3711yescharacteristic
1542C2×D4C2×D4×C3711yescharacteristic
1543C2×D4C24×C3711yescharacteristic
1544C2×D4C24×C3711yescharacteristic
1545C2×D4C24×C3711yescharacteristic
1546C2×D4C24×C3711yescharacteristic
1547C2×D4C24×C3711yescharacteristic
1548C2×D4C24×C3711yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—21no—
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—21no—
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—41no—
1565C22×C4—41no—
1566C22×C4—44no—
1567C22×C4C2×D4×C3711yescharacteristic
1568C22×C4C2×D4×C3711yescharacteristic
1569C22×C4C2×D4×C3711yescharacteristic
1570C22×C4C24×C3711yescharacteristic
1571C22×C4C24×C3711yescharacteristic
1572C22×C4C24×C3711yescharacteristic
1573C22×C4C24×C3711yescharacteristic
1574C22×C4C24×C3711yescharacteristic
1575Q16—22no—
1576Q16—22no—
1577Q16—41no—
1578Q16—41no—
1579SD16—22no—
1580SD16—22no—
1581SD16—22no—
1582SD16—22no—
1583SD16—41no—
1584SD16—41no—
1585SD16—41no—
1586SD16—41no—
1587SD16—41no—
1588SD16—41no—
1589SD16—41no—
1590SD16—41no—
1591D8—22no—
1592D8—22no—
1593D8—41no—
1594D8—41no—
1595D8—41no—
1596D8—41no—
1597D8—41no—
1598D8—41no—
1599M16—41no—
1600M16—41no—
1601M16—41no—
1602M16—41no—
1603C2×C8—41no—
1604C2×C8—41no—
1605C2×C8—41no—
1606C2×C8—41no—
1607C2×C8C24×C3711yescharacteristic
1608C2×C8C24×C3711yescharacteristic
1609C2×C8C24×C3711yescharacteristic
1610C2×C8C24×C3711yescharacteristic
1611C2×C8C24×C3711yescharacteristic
1612C2×C8C24×C3711yescharacteristic
1613C2×C8C24×C3711yescharacteristic
1614C2×C8C24×C3711yescharacteristic
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⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4C2×D4×C3711yescharacteristic
1631C4⋊C4C2×D4×C3711yescharacteristic
1632C4⋊C4C2×D4×C3711yescharacteristic
1633C4⋊C4C2×D4×C3711yescharacteristic
1634C4⋊C4C2×D4×C3711yescharacteristic
1635C4⋊C4C2×D4×C3711yescharacteristic
1636C4⋊C4C24×C3711yescharacteristic
1637C4⋊C4C24×C3711yescharacteristic
1638C4⋊C4C24×C3711yescharacteristic
1639C4⋊C4C24×C3711yescharacteristic
1640C4⋊C4C24×C3711yescharacteristic
1641C4⋊C4C24×C3711yescharacteristic
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⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4C2×D4×C3711yescharacteristic
1679C22⋊C4C2×D4×C3711yescharacteristic
1680C22⋊C4C2×D4×C3711yescharacteristic
1681C22⋊C4C2×D4×C3711yescharacteristic
1682C22⋊C4C2×D4×C3711yescharacteristic
1683C22⋊C4C2×D4×C3711yescharacteristic
1684C22⋊C4C2×D4×C3711yescharacteristic
1685C22⋊C4C2×D4×C3711yescharacteristic
1686C22⋊C4C2×D4×C3711yescharacteristic
1687C22⋊C4C2×D4×C3711yescharacteristic
1688C42—21no—
1689C42—21no—
1690C42—21no—
1691C42—21no—
1692C42—21no—
1693C42—21no—
1694C42—21no—
1695C42—21no—
1696C42C24×C3711yescharacteristic
1697C42C24×C3711yescharacteristic
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—21no—
1704C23—41no—
1705C23—41no—
1706C23—41no—
1707C23—42no—
1708C23—42no—
1709C23—42no—
1710C23—42no—
1711C23—42no—
1712C23—81no—
1713C23—81no—
1714C23—81no—
1715C23—81no—
1716C23—81no—
1717C23—81no—
1718C23—81no—
1719C23—81no—
1720C23—81no—
1721C23—81no—
1722C23C22×D4×C3711yescharacteristic
1723C23C22×D4×C3711yescharacteristic
1724C23C22×D4×C3711yescharacteristic
1725C23C22×D4×C3711yescharacteristic
1726C23C22×D4×C3711yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—21no—
1731Q8—21no—
1732Q8—21no—
1733Q8—21no—
1734Q8—41no—
1735Q8—42no—
1736Q8—81no—
1737Q8—81no—
1738Q8—81no—
1739Q8H(5,𝔽2)×C3712yes—
1740D4—24no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—21no—
1747D4—21no—
1748D4—21no—
1749D4—21no—
1750D4—21no—
1751D4—21no—
1752D4—41no—
1753D4—41no—
1754D4—41no—
1755D4—41no—
1756D4—41no—
1757D4—41no—
1758D4—41no—
1759D4—42no—
1760D4—42no—
1761D4—42no—
1762D4—42no—
1763D4—42no—
1764D4—42no—
1765D4—42no—
1766D4—42no—
1767D4—42no—
1768D4—42no—
1769D4—42no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—81no—
1782D4—81no—
1783D4—81no—
1784D4—81no—
1785D4—81no—
1786D4—81no—
1787D4H(5,𝔽2)×C3712yes—
1788C2×C4—24no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—41no—
1810C2×C4—41no—
1811C2×C4—41no—
1812C2×C4—42no—
1813C2×C4—42no—
1814C2×C4—42no—
1815C2×C4—42no—
1816C2×C4—42no—
1817C2×C4—42no—
1818C2×C4—81no—
1819C2×C4—81no—
1820C2×C4—81no—
1821C2×C4—81no—
1822C2×C4—81no—
1823C2×C4—81no—
1824C2×C4—81no—
1825C2×C4—81no—
1826C2×C4C22×D4×C3711yescharacteristic
1827C2×C4C22×D4×C3711yescharacteristic
1828C2×C4C22×D4×C3711yescharacteristic
1829C2×C4C22×D4×C3711yescharacteristic
1830C2×C4C22×D4×C3711yescharacteristic
1831C2×C4C22×D4×C3711yescharacteristic
1832C2×C4C22×D4×C3711yescharacteristic
1833C2×C4C22×D4×C3711yescharacteristic
1834C2×C4C22×D4×C3711yescharacteristic
1835C2×C4C25×C3711yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—21no—
1841C8—21no—
1842C8—21no—
1843C8—21no—
1844C22—21no—
1845C22—21no—
1846C22—22no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—21no—
1858C22—21no—
1859C22—21no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—82no—
1878C22—84no—
1879C22—162no—
1880C22—162no—
1881C22—162no—
1882C22—162no—
1883C22C23×D4×C3711yescharacteristic
1884C4—21no—
1885C4—22no—
1886C4—21no—
1887C4—21no—
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—21no—
1892C4—21no—
1893C4—21no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—41no—
1898C4—41no—
1899C4—41no—
1900C4—41no—
1901C4—41no—
1902C4—41no—
1903C4C2×H(5,𝔽2)×C3711yescharacteristic
1904C4C2×H(5,𝔽2)×C3711yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—41no—
1909C2—41no—
1910C2—42no—
1911C2—81no—
1912C2—81no—
1913C2—81no—
1914C2—81no—
1915C2—81no—
1916C2C37×#348411yescharacteristic
1917C2C37×#358411yescharacteristic
1918C2C37×#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×#3540C2semidirect
2. C37×#3488C2semidirect
3. C37×#3325C2semidirect
4. C37×#3324C2semidirect
5. C37×#3321C2semidirect
6. C37×#3319C2semidirect
7. C37×#3313C2semidirect
8. C37×#3311C2semidirect
9. C37×#3305C2semidirect
10. C37×#3304C2semidirect
11. C37×#3282C2semidirect
12. C37×#3280C2semidirect
13. C37×#3277C2semidirect
14. C37×#3275C2semidirect
15. C37×#3271C2semidirect
16. C37×#3268C2semidirect
17. C37×#3265C2semidirect
18. C37×#3264C2semidirect
19. C37×#3224C2semidirect
20. C37×#3224C2semidirect
21. C37×#3201C2semidirect
22. C37×#3198C2semidirect
23. C37×#3194C2semidirect
24. C37×#3188C2semidirect
25. C37×#3125C2semidirect
26. C37×#3124C2semidirect
27. C37×#3009C2semidirect
28. C37×#3008C2semidirect
29. C37×#3005C2semidirect
30. C37×#3002C2semidirect
31. C37×#2976C2semidirect
33. C22×#41×C37C22semidirect
34. C2×#137×C37C22semidirect
35. C2×#137×C37C22semidirect
36. C2×AGL(1,ℤ/8)×C37C22semidirect
37. C2×AGL(1,ℤ/8)×C37C22semidirect
38. C2×#135×C37C22semidirect
39. C2×#135×C37C22semidirect
40. C22×SD16×C37C22semidirect
41. C22×D8×C37C22semidirect
45. C37×#556C22semidirect
46. C37×#556C22semidirect
47. C37×#555C22semidirect
48. C37×#555C22semidirect
51. C37×#550C22semidirect
53. C37×#548C22semidirect
54. C37×#548C22semidirect
55. C37×#548C22semidirect
59. C37×#546C22semidirect
60. C37×#546C22semidirect
61. C37×#546C22semidirect
65. D42×C37C22semidirect
68. C37×#542C22semidirect
69. C37×#542C22semidirect
74. C37×#536C22semidirect
76. C37×#535C22semidirect
77. C37×#535C22semidirect
80. C37×#525C22semidirect
81. C37×#525C22semidirect
83. C2×#121×C37C22semidirect
84. C37×#520C22semidirect
85. C37×#496C22semidirect
86. C37×#496C22semidirect
87. C37×#495C22semidirect
88. C37×#495C22semidirect
89. C37×#489C22semidirect
90. C37×#489C22semidirect
91. C37×#486C22semidirect
92. C37×#486C22semidirect
93. C37×#485C22semidirect
94. C37×#485C22semidirect
95. C37×#484C22semidirect
96. C37×#483C22semidirect
97. C37×#482C22semidirect
98. C37×#482C22semidirect
99. C37×#482C22semidirect
100. C37×#482C22semidirect
101. C37×#482C22semidirect
102. C37×#482C22semidirect
103. C37×#481C22semidirect
104. C37×#480C22semidirect
105. C37×#477C22semidirect
106. C37×#476C22semidirect
107. C37×#475C22semidirect
108. C37×#474C22semidirect
109. C37×#470C22semidirect
110. C37×#469C22semidirect
111. C37×#469C22semidirect
112. C37×#469C22semidirect
113. C37×#468C22semidirect
114. C37×#468C22semidirect
115. C37×#468C22semidirect
116. C37×#468C22semidirect
117. C37×#467C22semidirect
118. C37×#466C22semidirect
119. C37×#466C22semidirect
120. C37×#466C22semidirect
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×#463C22semidirect
132. C37×#463C22semidirect
133. C37×#460C22semidirect
134. C37×#460C22semidirect
135. C37×#459C22semidirect
136. C37×#459C22semidirect
137. C37×#452C22semidirect
138. C37×#452C22semidirect
139. C37×#452C22semidirect
140. C37×#452C22semidirect
141. C37×#452C22semidirect
142. C37×#452C22semidirect
143. C37×#452C22semidirect
144. C37×#452C22semidirect
145. C37×#451C22semidirect
146. C37×#451C22semidirect
147. C37×#450C22semidirect
148. C37×#450C22semidirect
149. C37×#450C22semidirect
150. C37×#450C22semidirect
151. C37×#450C22semidirect
152. C37×#450C22semidirect
155. C37×#449C22semidirect
156. C37×#449C22semidirect
157. C37×#449C22semidirect
158. C37×#449C22semidirect
159. C37×#449C22semidirect
160. C37×#449C22semidirect
161. C37×#449C22semidirect
162. C37×#449C22semidirect
163. C37×#449C22semidirect
164. C37×#449C22semidirect
165. C37×#448C22semidirect
166. C37×#448C22semidirect
167. C37×#447C22semidirect
168. C37×#447C22semidirect
169. C37×#447C22semidirect
170. C37×#447C22semidirect
171. C37×#447C22semidirect
172. C37×#447C22semidirect
173. C37×#442C22semidirect
174. C37×#441C22semidirect
175. C37×#440C22semidirect
176. C37×#440C22semidirect
177. C4×Q16×C37C22semidirect
178. C4×SD16×C37C22semidirect
179. C4×SD16×C37C22semidirect
180. C4×D8×C37C22semidirect
181. C37×#436C22semidirect
182. C37×#436C22semidirect
183. C37×#435C22semidirect
184. C37×#435C22semidirect
185. C37×#435C22semidirect
186. C37×#435C22semidirect
187. C8×D4×C37C22semidirect
188. C8×D4×C37C22semidirect
189. C37×#433C22semidirect
190. C37×#433C22semidirect
191. C37×#419C22semidirect
192. C37×#418C22semidirect
193. C37×#418C22semidirect
194. C37×#418C22semidirect
195. C37×#416C22semidirect
196. C37×#416C22semidirect
197. C37×#416C22semidirect
198. C37×#416C22semidirect
199. C37×#408C22semidirect
200. C37×#408C22semidirect
201. C37×#407C22semidirect
202. C2×C22⋊C8×C37C22semidirect
884. #61625C37direct (N × H)
946. #3540C2×C37semidirect
947. #3488C2×C37semidirect
948. #3325C2×C37semidirect
949. #3324C2×C37semidirect
950. #3321C2×C37semidirect
951. #3319C2×C37semidirect
952. #3313C2×C37semidirect
953. #3311C2×C37semidirect
954. #3305C2×C37semidirect
955. #3304C2×C37semidirect
956. #3282C2×C37semidirect
957. #3280C2×C37semidirect
958. #3277C2×C37semidirect
959. #3275C2×C37semidirect
960. #3271C2×C37semidirect
961. #3268C2×C37semidirect
962. #3265C2×C37semidirect
963. #3264C2×C37semidirect
964. #3224C2×C37semidirect
965. #3224C2×C37semidirect
966. #3201C2×C37semidirect
967. #3198C2×C37semidirect
968. #3194C2×C37semidirect
969. #3188C2×C37semidirect
970. #3125C2×C37semidirect
971. #3124C2×C37semidirect
972. #3009C2×C37semidirect
973. #3008C2×C37semidirect
974. #3005C2×C37semidirect
975. #3002C2×C37semidirect
976. #2976C2×C37semidirect
992. C22×#41C22×C37semidirect
993. C2×#137C22×C37semidirect
994. C2×#137C22×C37semidirect
995. C2×AGL(1,ℤ/8)C22×C37semidirect
996. C2×AGL(1,ℤ/8)C22×C37semidirect
997. C2×#135C22×C37semidirect
998. C2×#135C22×C37semidirect
999. C22×SD16C22×C37semidirect
1000. C22×D8C22×C37semidirect
1004. #556C22×C37semidirect
1005. #556C22×C37semidirect
1006. #555C22×C37semidirect
1007. #555C22×C37semidirect
1010. #550C22×C37semidirect
1012. #548C22×C37semidirect
1013. #548C22×C37semidirect
1014. #548C22×C37semidirect
1018. #546C22×C37semidirect
1019. #546C22×C37semidirect
1020. #546C22×C37semidirect
1024. D42C22×C37semidirect
1027. #542C22×C37semidirect
1028. #542C22×C37semidirect
1033. #536C22×C37semidirect
1035. #535C22×C37semidirect
1036. #535C22×C37semidirect
1039. #525C22×C37semidirect
1040. #525C22×C37semidirect
1042. C2×#121C22×C37semidirect
1043. #520C22×C37semidirect
1044. #496C22×C37semidirect
1045. #496C22×C37semidirect
1046. #495C22×C37semidirect
1047. #495C22×C37semidirect
1048. #489C22×C37semidirect
1049. #489C22×C37semidirect
1050. #486C22×C37semidirect
1051. #486C22×C37semidirect
1052. #485C22×C37semidirect
1053. #485C22×C37semidirect
1054. #484C22×C37semidirect
1055. #483C22×C37semidirect
1056. #482C22×C37semidirect
1057. #482C22×C37semidirect
1058. #482C22×C37semidirect
1059. #482C22×C37semidirect
1060. #482C22×C37semidirect
1061. #482C22×C37semidirect
1062. #481C22×C37semidirect
1063. #480C22×C37semidirect
1064. #477C22×C37semidirect
1065. #476C22×C37semidirect
1066. #475C22×C37semidirect
1067. #474C22×C37semidirect
1068. #470C22×C37semidirect
1069. #469C22×C37semidirect
1070. #469C22×C37semidirect
1071. #469C22×C37semidirect
1072. #468C22×C37semidirect
1073. #468C22×C37semidirect
1074. #468C22×C37semidirect
1075. #468C22×C37semidirect
1076. #467C22×C37semidirect
1077. #466C22×C37semidirect
1078. #466C22×C37semidirect
1079. #466C22×C37semidirect
1080. #465C22×C37semidirect
1081. #465C22×C37semidirect
1082. #465C22×C37semidirect
1083. #465C22×C37semidirect
1084. #464C22×C37semidirect
1085. #464C22×C37semidirect
1086. #464C22×C37semidirect
1087. #464C22×C37semidirect
1088. #463C22×C37semidirect
1089. #463C22×C37semidirect
1090. #463C22×C37semidirect
1091. #463C22×C37semidirect
1092. #460C22×C37semidirect
1093. #460C22×C37semidirect
1094. #459C22×C37semidirect
1095. #459C22×C37semidirect
1096. #452C22×C37semidirect
1097. #452C22×C37semidirect
1098. #452C22×C37semidirect
1099. #452C22×C37semidirect
1100. #452C22×C37semidirect
1101. #452C22×C37semidirect
1102. #452C22×C37semidirect
1103. #452C22×C37semidirect
1104. #451C22×C37semidirect
1105. #451C22×C37semidirect
1106. #450C22×C37semidirect
1107. #450C22×C37semidirect
1108. #450C22×C37semidirect
1109. #450C22×C37semidirect
1110. #450C22×C37semidirect
1111. #450C22×C37semidirect
1114. #449C22×C37semidirect
1115. #449C22×C37semidirect
1116. #449C22×C37semidirect
1117. #449C22×C37semidirect
1118. #449C22×C37semidirect
1119. #449C22×C37semidirect
1120. #449C22×C37semidirect
1121. #449C22×C37semidirect
1122. #449C22×C37semidirect
1123. #449C22×C37semidirect
1124. #448C22×C37semidirect
1125. #448C22×C37semidirect
1126. #447C22×C37semidirect
1127. #447C22×C37semidirect
1128. #447C22×C37semidirect
1129. #447C22×C37semidirect
1130. #447C22×C37semidirect
1131. #447C22×C37semidirect
1132. #442C22×C37semidirect
1133. #441C22×C37semidirect
1134. #440C22×C37semidirect
1135. #440C22×C37semidirect
1136. C4×Q16C22×C37semidirect
1137. C4×SD16C22×C37semidirect
1138. C4×SD16C22×C37semidirect
1139. C4×D8C22×C37semidirect
1140. #436C22×C37semidirect
1141. #436C22×C37semidirect
1142. #435C22×C37semidirect
1143. #435C22×C37semidirect
1144. #435C22×C37semidirect
1145. #435C22×C37semidirect
1146. C8×D4C22×C37semidirect
1147. C8×D4C22×C37semidirect
1148. #433C22×C37semidirect
1149. #433C22×C37semidirect
1150. #419C22×C37semidirect
1151. #418C22×C37semidirect
1152. #418C22×C37semidirect
1153. #418C22×C37semidirect
1154. #416C22×C37semidirect
1155. #416C22×C37semidirect
1156. #416C22×C37semidirect
1157. #416C22×C37semidirect
1158. #408C22×C37semidirect
1159. #408C22×C37semidirect
1160. #407C22×C37semidirect
1161. C2×C22⋊C8C22×C37semidirect
1162. C37#61625direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35402
C37×#34882
C37×#33252
C37×#33242
C37×#33212
C37×#33192
C37×#33132
C37×#33112
C37×#33052
C37×#33042
C37×#32822
C37×#32802
C37×#32772
C37×#32752
C37×#32712
C37×#32682
C37×#32652
C37×#32642
C37×#32242
C37×#32012
C37×#31982
C37×#31942
C37×#31882
C37×#31252
C37×#31242
C37×#30092
C37×#30082
C37×#30052
C37×#30022
C37×#29762
#6162537