Finite Group Databasebeta

← C23×#61639 #19209265

Subgroups — C23×#61639 #19209265

Order 5888.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#3542C211yesmaximal, characteristic, complemented
2C23×#3488C211yesmaximal, characteristic, complemented
3C23×#3319C211yesmaximal, characteristic, complemented
4C23×#3310C211yesmaximal, characteristic, complemented
5C23×#3309C211yesmaximal, characteristic, complemented
6C23×#3308C211yesmaximal, characteristic, complemented
7C23×#3305C211yesmaximal, characteristic, complemented
8C23×#3300C211yesmaximal, characteristic, complemented
9C23×#3297C211yesmaximal, characteristic, complemented
10C23×#3294C211yesmaximal, characteristic, complemented
11C23×#3287C211yesmaximal, characteristic, complemented
12C23×#3282C211yesmaximal, characteristic, complemented
13C23×#3280C211yesmaximal, characteristic, complemented
14D4×D8×C23C211yesmaximal, characteristic, complemented
15C23×#3268C211yesmaximal, characteristic, complemented
16C23×#3268C211yesmaximal, characteristic, complemented
17C23×#3265C211yesmaximal, characteristic, complemented
18C23×#3264C211yesmaximal, characteristic, complemented
19C23×#3224C211yesmaximal, characteristic, complemented
20C23×#3220C211yesmaximal, characteristic, complemented
21C23×#3203C211yesmaximal, characteristic, complemented
22C23×#3198C211yesmaximal, characteristic, complemented
23C23×#3188C211yesmaximal, characteristic, complemented
24C23×#3186C211yesmaximal, characteristic, complemented
25C23×#3124C211yesmaximal, characteristic, complemented
26C23×#3119C211yesmaximal, characteristic, complemented
27C23×#3012C211yesmaximal, characteristic, complemented
28C23×#3008C211yesmaximal, characteristic, complemented
29C23×#3002C211yesmaximal, characteristic, complemented
30C2×C23×#449C211yesmaximal, characteristic, complemented
31C23×#2977C211yesmaximal, characteristic, complemented
32C2×C23×H(5,𝔽2)C2211yescharacteristic, complemented
33C22×#41×C23C2211yescharacteristic, complemented
34C2×C23×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C2×C23×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C2×C23×#135C2211yescharacteristic, complemented
37C2×C23×#135C2211yescharacteristic, complemented
38C2×C23×#135C2211yescharacteristic, complemented
39C22×SD16×C23C2211yescharacteristic, complemented
40C22×D8×C23C2211yescharacteristic, complemented
41C22×D8×C23C2211yescharacteristic, complemented
42C23×#562—21no—
43C23×#560—21no—
44C23×#555C2211yescharacteristic, complemented
45C23×#553C2211yescharacteristic, complemented
46C23×#552C2211yescharacteristic, complemented
47C23×#551—21no—
48C23×#550C2211yescharacteristic, complemented
49C23×#550C2211yescharacteristic, complemented
50C23×#550C2211yescharacteristic, complemented
51C23×#548C2211yescharacteristic
52C23×#548C2211yescharacteristic, complemented
53C23×#547C2211yescharacteristic, complemented
54C23×#546—21no—
55C23×#546—21no—
56C23×#546—21no—
57C23×#546C2211yescharacteristic, complemented
58C23×#546C2211yescharacteristic, complemented
59C23×#546C2211yescharacteristic, complemented
60C23×#546C2211yescharacteristic, complemented
61D42×C23—21no—
62D42×C23—21no—
63D42×C23C2211yescharacteristic
64D42×C23C2211yescharacteristic, complemented
65D42×C23C2211yescharacteristic, complemented
66C23×#542C2211yescharacteristic, complemented
67C23×#540—21no—
68C23×#540C2211yescharacteristic, complemented
69C23×#538—21no—
70C23×#537—21no—
71C23×#537C2211yescharacteristic, complemented
72C23×#537C2211yescharacteristic, complemented
73C23×#535—21no—
74C23×#535—21no—
75C23×#535C2211yescharacteristic, complemented
76C23×#535C2211yescharacteristic, complemented
77C23×#534—21no—
78C23×#525—21no—
79C23×#525C2211yescharacteristic
80C23×#525C2211yescharacteristic, complemented
81C2×C23×#121—21no—
82C2×C23×#121C2211yescharacteristic, complemented
83C2×C23×#121C2211yescharacteristic, complemented
84C23×#520C2211yescharacteristic, complemented
85C23×#496C2211yescharacteristic, complemented
86C23×#496C2211yescharacteristic, complemented
87C23×#495C2211yescharacteristic, complemented
88C23×#493C2211yescharacteristic, complemented
89C23×#490C2211yescharacteristic, complemented
90C23×#489C2211yescharacteristic, complemented
91C23×#488C2211yescharacteristic, complemented
92C23×#486C2211yescharacteristic, complemented
93C23×#485C2211yescharacteristic, complemented
94C23×#484C2211yescharacteristic, complemented
95C23×#484C2211yescharacteristic, complemented
96C23×#482C2211yescharacteristic, complemented
97C23×#482C2211yescharacteristic, complemented
98C23×#482C2211yescharacteristic, complemented
99C23×#481C2211yescharacteristic, complemented
100C23×#480C2211yescharacteristic, complemented
101C23×#480C2211yescharacteristic, complemented
102C23×#480C2211yescharacteristic, complemented
103C23×#480C2211yescharacteristic, complemented
104C23×#480C2211yescharacteristic, complemented
105C23×#479C2211yescharacteristic, complemented
106C23×#478C2211yescharacteristic, complemented
107C23×#477C2211yescharacteristic, complemented
108C23×#474C2211yescharacteristic, complemented
109C23×#469C2211yescharacteristic, complemented
110C23×#468C2211yescharacteristic, complemented
111C23×#468C2211yescharacteristic, complemented
112C23×#468C2211yescharacteristic, complemented
113C23×#467C2211yescharacteristic, complemented
114C23×#466C2211yescharacteristic, complemented
115C23×#466C2211yescharacteristic, complemented
116C23×#466C2211yescharacteristic, complemented
117C23×#466C2211yescharacteristic, complemented
118C23×#466C2211yescharacteristic, complemented
119C23×#466C2211yescharacteristic, complemented
120C23×#466C2211yescharacteristic, complemented
121C23×#466C2211yescharacteristic, complemented
122C23×#465C2211yescharacteristic, complemented
123C23×#465C2211yescharacteristic, complemented
124C23×#465C2211yescharacteristic, complemented
125C23×#464C2211yescharacteristic, complemented
126C23×#464C2211yescharacteristic, complemented
127C23×#463C2211yescharacteristic, complemented
128C23×#463C2211yescharacteristic, complemented
129C23×#463C2211yescharacteristic, complemented
130C23×#463C2211yescharacteristic, complemented
131C23×#460C2211yescharacteristic, complemented
132C23×#460C2211yescharacteristic, complemented
133C23×#459C2211yescharacteristic, complemented
134C23×#459C2211yescharacteristic, complemented
135C23×#459C2211yescharacteristic, complemented
136C23×#459C2211yescharacteristic, complemented
137C23×#452C2211yescharacteristic, complemented
138C23×#452C2211yescharacteristic, complemented
139C23×#452C2211yescharacteristic, complemented
140C23×#452C2211yescharacteristic, complemented
141C23×#451C2211yescharacteristic, complemented
142C23×#450C2211yescharacteristic, complemented
143C23×#450C2211yescharacteristic, complemented
144C23×#450C2211yescharacteristic, complemented
145C23×#450C2211yescharacteristic, complemented
146C23×#449C2211yescharacteristic
147C23×#449C2211yescharacteristic, complemented
148C23×#449C2211yescharacteristic, complemented
149C23×#449C2211yescharacteristic, complemented
150C23×#449C2211yescharacteristic, complemented
151C23×#449C2211yescharacteristic, complemented
152C23×#449C2211yescharacteristic, complemented
153C23×#449C2211yescharacteristic, complemented
154C23×#449C2211yescharacteristic, complemented
155C23×#449C2211yescharacteristic, complemented
156C23×#449C2211yescharacteristic, complemented
157C23×#449C2211yescharacteristic, complemented
158C23×#449C2211yescharacteristic, complemented
159C23×#449C2211yescharacteristic, complemented
160C23×#449C2211yescharacteristic, complemented
161C23×#449C2211yescharacteristic, complemented
162C23×#448C2211yescharacteristic, complemented
163C23×#447C2211yescharacteristic, complemented
164C23×#447C2211yescharacteristic, complemented
165C23×#447C2211yescharacteristic, complemented
166C23×#447C2211yescharacteristic, complemented
167C23×#447C2211yescharacteristic, complemented
168C23×#447C2211yescharacteristic, complemented
169C23×#447C2211yescharacteristic, complemented
170C23×#447C2211yescharacteristic, complemented
171C23×#447C2211yescharacteristic, complemented
172C23×#447C2211yescharacteristic, complemented
173C23×#442C2211yescharacteristic, complemented
174C23×#440C2211yescharacteristic, complemented
175C23×#440C2211yescharacteristic, complemented
176C23×#440C2211yescharacteristic, complemented
177C4×Q16×C23C2211yescharacteristic, complemented
178C4×SD16×C23C2211yescharacteristic, complemented
179C4×D8×C23C2211yescharacteristic, complemented
180C4×D8×C23C2211yescharacteristic, complemented
181C23×#435C2211yescharacteristic, complemented
182C23×#435C2211yescharacteristic, complemented
183C23×#435C2211yescharacteristic, complemented
184C23×#435C2211yescharacteristic, complemented
185C8×D4×C23C2211yescharacteristic, complemented
186C8×D4×C23C2211yescharacteristic, complemented
187C8×D4×C23C2211yescharacteristic, complemented
188C8×D4×C23C2211yescharacteristic, complemented
189C23×#433C2211yescharacteristic, complemented
190C23×#433C2211yescharacteristic, complemented
191C23×#418C2211yescharacteristic, complemented
192C23×#417C2211yescharacteristic, complemented
193C23×#416C2211yescharacteristic, complemented
194C23×#416C2211yescharacteristic, complemented
195C23×#416C2211yescharacteristic, complemented
196C2×C23×#103C2211yescharacteristic, complemented
197C2×C23×#102C2211yescharacteristic, complemented
198C2×C23×#102C2211yescharacteristic, complemented
199C23×#408C2211yescharacteristic, complemented
200C23×#408C2211yescharacteristic, complemented
201C2×C23×C22⋊C8C2211yescharacteristic, complemented
202C2×C23×C22⋊C8C2211yescharacteristic, complemented
203C23×H(5,𝔽2)—42no—
204C23×H(5,𝔽2)—42no—
205C2×#41×C23—21no—
206C2×#41×C23—21no—
207C2×#41×C23—21no—
208C2×#41×C23—21no—
209C2×#41×C23—42no—
210C2×#41×C23—42no—
211C2×#41×C23C2311yescharacteristic
212C2×#41×C23C2311yescharacteristic
213C2×#41×C23C2311yescharacteristic
214C2×#41×C23C2311yescharacteristic
215C2×#41×C23C2311yescharacteristic
216C2×#41×C23C2311yescharacteristic
217C2×#41×C23C2311yescharacteristic
218C2×#41×C23C2311yescharacteristic
219C2×#41×C23C2311yescharacteristic
220C22×Q8×C23C2311yescharacteristic
221C22×D4×C23—21no—
222C22×D4×C23—21no—
223C22×D4×C23—21no—
224C22×D4×C23—21no—
225C22×D4×C23—21no—
226C22×D4×C23—21no—
227C22×D4×C23—21no—
228C22×D4×C23—21no—
229C22×D4×C23—21no—
230C22×D4×C23C2311yescharacteristic
231C22×D4×C23C2311yescharacteristic
232C22×D4×C23C2311yescharacteristic
233C22×D4×C23C2311yescharacteristic
234C22×D4×C23C2311yescharacteristic
235C22×D4×C23C2311yescharacteristic
236C23×C4×C23—21no—
237C23×C4×C23C2311yescharacteristic
238C23×AGL(1,ℤ/8)—42no—
239C23×AGL(1,ℤ/8)—42no—
240C23×#135—42no—
241C23×#135—42no—
242C23×#135—42no—
243C2×Q16×C23C2311yescharacteristic
244C2×Q16×C23C2311yescharacteristic
245C2×SD16×C23—42no—
246C2×SD16×C23C2311yescharacteristic
247C2×SD16×C23C2311yescharacteristic
248C2×SD16×C23C2311yescharacteristic
249C2×SD16×C23C2311yescharacteristic
250C2×SD16×C23C2311yescharacteristic
251C2×SD16×C23C2311yescharacteristic
252C2×SD16×C23C2311yescharacteristic
253C2×SD16×C23C2311yescharacteristic
254C2×SD16×C23C2311yescharacteristic
255C2×SD16×C23C2311yescharacteristic
256C2×D8×C23—42no—
257C2×D8×C23—42no—
258C2×D8×C23C2311yescharacteristic
259C2×D8×C23C2311yescharacteristic
260C2×D8×C23C2311yescharacteristic
261C2×D8×C23C2311yescharacteristic
262C2×D8×C23C2311yescharacteristic
263C2×D8×C23C2311yescharacteristic
264C2×D8×C23C2311yescharacteristic
265C2×D8×C23C2311yescharacteristic
266C2×D8×C23C2311yescharacteristic
267C2×D8×C23C2311yescharacteristic
268C2×D8×C23C2311yescharacteristic
269C2×D8×C23C2311yescharacteristic
270C2×M16×C23C2311yescharacteristic
271C2×M16×C23C2311yescharacteristic
272C22×C8×C23C2311yescharacteristic
273C22×C8×C23C2311yescharacteristic
274C22×C8×C23C2311yescharacteristic
275C22×C8×C23C2311yescharacteristic
276C22×C8×C23C2311yescharacteristic
277C22×C8×C23C2311yescharacteristic
278C23×C4⋊Q8C2311yescharacteristic
279C23×#127—21no—
280C23×#127—21no—
281C23×#127—21no—
282C23×#127—21no—
283C23×#127C2311yescharacteristic
284C23×#127C2311yescharacteristic
285C23×#127C2311yescharacteristic
286C23×#126—21no—
287C23×#126—21no—
288C23×#126—21no—
289C23×#125—21no—
290C23×#125C2311yescharacteristic
291C23×#124—21no—
292C23×#124—21no—
293C23×#124—21no—
294C23×#124—21no—
295C23×#124—21no—
296C23×#124—21no—
297C23×#124C2311yescharacteristic
298C23×#124C2311yescharacteristic
299C23×#124C2311yescharacteristic
300C23×#123—21no—
301C23×#123—21no—
302C23×#123—21no—
303C23×#123—21no—
304C23×#123—21no—
305C23×#123—21no—
306C23×#123—21no—
307C23×#123—21no—
308C23×#123—21no—
309C23×#123—21no—
310C23×#123—21no—
311C23×#123—21no—
312C23×#123D411yescharacteristic
313C23×#123D411yescharacteristic
314C23×C22⋊Q8—21no—
315C23×C22⋊Q8—21no—
316C23×C22⋊Q8—21no—
317C23×C22⋊Q8—21no—
318C23×C22⋊Q8—21no—
319C23×C22⋊Q8—21no—
320C23×C22⋊Q8D411yescharacteristic
321C23×C22⋊Q8D411yescharacteristic
322C23×C22⋊Q8C2311yescharacteristic
323C23×C22⋊Q8C2311yescharacteristic
324C23×C22⋊Q8C2311yescharacteristic
325C23×C22⋊Q8C2311yescharacteristic
326C23×C22⋊Q8C2311yescharacteristic
327C23×#121—21no—
328C23×#121—21no—
329C23×#121—21no—
330C23×#121—21no—
331C23×#121—21no—
332C23×#121—21no—
333C23×#121—21no—
334C23×#121—21no—
335C23×#121—21no—
336C23×#121—21no—
337C23×#121—21no—
338C23×#121—21no—
339C23×#121—21no—
340C23×#121—21no—
341C23×#121—21no—
342C23×#121—21no—
343C23×#121—21no—
344C23×#121—21no—
345C23×#121—21no—
346C23×#121—21no—
347C23×#121—21no—
348C23×#121—21no—
349C23×#121—21no—
350C23×#121—21no—
351C23×#121—21no—
352C23×#121—21no—
353C23×#121—21no—
354C23×#121—21no—
355C23×#121—21no—
356C23×#121—21no—
357C23×#121—21no—
358C23×#121D411yescharacteristic
359C23×#121D411yescharacteristic
360C23×#121C2311yescharacteristic
361C23×#121C2311yescharacteristic
362C23×#121C2311yescharacteristic
363C23×#121C2311yescharacteristic
364C23×#121C2311yescharacteristic
365C23×#121C2311yescharacteristic
366C23×#121C2311yescharacteristic
367C23×#121C2311yescharacteristic
368C23×#121C2311yescharacteristic
369C23×#121C2311yescharacteristic
370C23×#121C2311yescharacteristic
371C23×#121C2311yescharacteristic
372C23×#121C2311yescharacteristic
373C23×#121C2311yescharacteristic
374C23×#121C2311yescharacteristic
375C23×#120—21no—
376C23×#120—21no—
377C23×#120—21no—
378C23×#120—21no—
379C23×#120—21no—
380C23×#120—21no—
381C23×#120—21no—
382C23×#120—21no—
383C23×#120—21no—
384C23×#120—21no—
385C23×#120—21no—
386C23×#120—21no—
387C23×#120—21no—
388C23×#120—21no—
389C23×#120—21no—
390C23×#120D411yescharacteristic
391C23×#120D411yescharacteristic
392C4×Q8×C23C2311yescharacteristic
393C4×Q8×C23C2311yescharacteristic
394C4×Q8×C23C2311yescharacteristic
395C4×D4×C23—21no—
396C4×D4×C23—21no—
397C4×D4×C23—21no—
398C4×D4×C23—21no—
399C4×D4×C23—21no—
400C4×D4×C23—21no—
401C4×D4×C23—21no—
402C4×D4×C23—21no—
403C4×D4×C23—21no—
404C4×D4×C23—21no—
405C4×D4×C23C2311yescharacteristic
406C4×D4×C23C2311yescharacteristic
407C4×D4×C23C2311yescharacteristic
408C4×D4×C23C2311yescharacteristic
409C4×D4×C23C2311yescharacteristic
410C4×D4×C23C2311yescharacteristic
411C4×D4×C23C2311yescharacteristic
412C4×D4×C23C2311yescharacteristic
413C4×D4×C23C2311yescharacteristic
414C23×#117—21no—
415C23×#117—21no—
416C23×#117—21no—
417C23×#117C2311yescharacteristic
418C23×#117C2311yescharacteristic
419C23×#117C2311yescharacteristic
420C2×C4⋊C4×C23—21no—
421C2×C4⋊C4×C23C2311yescharacteristic
422C2×C4⋊C4×C23C2311yescharacteristic
423C2×C4⋊C4×C23C2311yescharacteristic
424C2×C22⋊C4×C23—21no—
425C2×C22⋊C4×C23—21no—
426C2×C22⋊C4×C23—21no—
427C2×C22⋊C4×C23—21no—
428C2×C22⋊C4×C23—21no—
429C2×C22⋊C4×C23—21no—
430C23×#107C2311yescharacteristic
431C23×#107C2311yescharacteristic
432C23×#107C2311yescharacteristic
433C23×#107C2311yescharacteristic
434C23×#107C2311yescharacteristic
435C23×#107C2311yescharacteristic
436C23×#106C2311yescharacteristic
437C23×#106C2311yescharacteristic
438C23×C4⋊C8C2311yescharacteristic
439C23×C4⋊C8C2311yescharacteristic
440C23×C4⋊C8C2311yescharacteristic
441C23×C4⋊C8C2311yescharacteristic
442C23×#103C2311yescharacteristic
443C23×#103C2311yescharacteristic
444C23×#103C2311yescharacteristic
445C23×#103C2311yescharacteristic
446C23×#103C2311yescharacteristic
447C23×#103C2311yescharacteristic
448C23×#103C2311yescharacteristic
449C23×#103C2311yescharacteristic
450C23×#103C2311yescharacteristic
451C23×#103C2311yescharacteristic
452C23×#102C2311yescharacteristic
453C23×#102C2311yescharacteristic
454C23×#102C2311yescharacteristic
455C23×#102C2311yescharacteristic
456C23×#102C2311yescharacteristic
457C23×#102C2311yescharacteristic
458C23×#102C2311yescharacteristic
459C23×#102C2311yescharacteristic
460C23×#102C2311yescharacteristic
461C23×#102C2311yescharacteristic
462C23×#102C2311yescharacteristic
463C23×#102C2311yescharacteristic
464C23×#102C2311yescharacteristic
465C23×#102C2311yescharacteristic
466C23×#102C2311yescharacteristic
467C23×#102C2311yescharacteristic
468C23×#102C2311yescharacteristic
469C23×#102C2311yescharacteristic
470C23×#102C2311yescharacteristic
471C23×#102C2311yescharacteristic
472C23×#102C2311yescharacteristic
473C23×#102C2311yescharacteristic
474C23×C22⋊C8C2311yescharacteristic
475C23×C22⋊C8C2311yescharacteristic
476C23×C22⋊C8C2311yescharacteristic
477C23×C22⋊C8C2311yescharacteristic
478C23×C22⋊C8C2311yescharacteristic
479C23×C22⋊C8C2311yescharacteristic
480C23×C22⋊C8C2311yescharacteristic
481C23×C22⋊C8C2311yescharacteristic
482C23×C22⋊C8C2311yescharacteristic
483C23×C22⋊C8C2311yescharacteristic
484C23×C22⋊C8C2311yescharacteristic
485C23×C22⋊C8C2311yescharacteristic
486C23×#97C2311yescharacteristic
487C23×#97C2311yescharacteristic
488C4×C8×C23C2311yescharacteristic
489C4×C8×C23C2311yescharacteristic
490C24×C23—21no—
491C24×C23—21no—
492C24×C23—21no—
493C24×C23—21no—
494C24×C23—21no—
495C24×C23—21no—
496C24×C23C2×D411yescharacteristic
497#41×C23—22no—
498#41×C23—22no—
499#41×C23—22no—
500#41×C23—22no—
501#41×C23—22no—
502#41×C23—22no—
503#41×C23—41no—
504#41×C23—41no—
505#41×C23—41no—
506#41×C23—41no—
507#41×C23—41no—
508#41×C23—41no—
509#41×C23—41no—
510#41×C23—41no—
511#41×C23—44no—
512#41×C23—44no—
513#41×C23—41no—
514#41×C23—41no—
515#41×C23—41no—
516#41×C23—41no—
517#41×C23—44no—
518#41×C23—82no—
519C2×Q8×C23—21no—
520C2×Q8×C23—21no—
521C2×Q8×C23—22no—
522C2×Q8×C23—41no—
523C2×Q8×C23C2×D411yescharacteristic
524C2×Q8×C23C2411yescharacteristic
525C2×Q8×C23C2411yescharacteristic
526C2×Q8×C23C2411yescharacteristic
527C2×D4×C23—21no—
528C2×D4×C23—22no—
529C2×D4×C23—22no—
530C2×D4×C23—22no—
531C2×D4×C23—21no—
532C2×D4×C23—21no—
533C2×D4×C23—21no—
534C2×D4×C23—21no—
535C2×D4×C23—21no—
536C2×D4×C23—21no—
537C2×D4×C23—21no—
538C2×D4×C23—21no—
539C2×D4×C23—21no—
540C2×D4×C23—21no—
541C2×D4×C23—21no—
542C2×D4×C23—21no—
543C2×D4×C23—21no—
544C2×D4×C23—21no—
545C2×D4×C23—21no—
546C2×D4×C23—21no—
547C2×D4×C23—21no—
548C2×D4×C23—21no—
549C2×D4×C23—21no—
550C2×D4×C23—21no—
551C2×D4×C23—21no—
552C2×D4×C23—21no—
553C2×D4×C23—21no—
554C2×D4×C23—21no—
555C2×D4×C23—21no—
556C2×D4×C23—21no—
557C2×D4×C23—21no—
558C2×D4×C23—21no—
559C2×D4×C23—21no—
560C2×D4×C23—21no—
561C2×D4×C23—21no—
562C2×D4×C23—21no—
563C2×D4×C23—21no—
564C2×D4×C23—21no—
565C2×D4×C23—41no—
566C2×D4×C23—41no—
567C2×D4×C23—41no—
568C2×D4×C23—41no—
569C2×D4×C23—41no—
570C2×D4×C23—41no—
571C2×D4×C23—41no—
572C2×D4×C23—41no—
573C2×D4×C23—41no—
574C2×D4×C23—44no—
575C2×D4×C23—44no—
576C2×D4×C23—44no—
577C2×D4×C23—44no—
578C2×D4×C23—82no—
579C2×D4×C23—82no—
580C2×D4×C23—82no—
581C2×D4×C23—82no—
582C2×D4×C23—82no—
583C2×D4×C23C2×D411yescharacteristic
584C2×D4×C23C2×D411yescharacteristic
585C2×D4×C23C2×D411yescharacteristic
586C2×D4×C23C2×D411yescharacteristic
587C2×D4×C23C2×D411yescharacteristic
588C2×D4×C23C2×D411yescharacteristic
589C2×D4×C23C2×D411yescharacteristic
590C2×D4×C23C2411yescharacteristic
591C2×D4×C23C2411yescharacteristic
592C2×D4×C23C2411yescharacteristic
593C2×D4×C23C2411yescharacteristic
594C2×D4×C23C2411yescharacteristic
595C2×D4×C23C2411yescharacteristic
596C2×D4×C23C2411yescharacteristic
597C22×C4×C23—21no—
598C22×C4×C23—21no—
599C22×C4×C23—21no—
600C22×C4×C23—21no—
601C22×C4×C23—21no—
602C22×C4×C23—21no—
603C22×C4×C23—21no—
604C22×C4×C23—21no—
605C22×C4×C23—21no—
606C22×C4×C23—21no—
607C22×C4×C23—21no—
608C22×C4×C23—21no—
609C22×C4×C23—21no—
610C22×C4×C23—21no—
611C22×C4×C23—21no—
612C22×C4×C23—21no—
613C22×C4×C23—21no—
614C22×C4×C23—41no—
615C22×C4×C23—41no—
616C22×C4×C23—44no—
617C22×C4×C23C2×D411yescharacteristic
618C22×C4×C23C2×D411yescharacteristic
619C22×C4×C23C2×D411yescharacteristic
620C22×C4×C23C2411yescharacteristic
621C22×C4×C23C2411yescharacteristic
622C22×C4×C23C2411yescharacteristic
623C22×C4×C23C2411yescharacteristic
624C22×C4×C23C2411yescharacteristic
625Q16×C23—22no—
626Q16×C23—41no—
627SD16×C23—22no—
628SD16×C23—22no—
629SD16×C23—22no—
630SD16×C23—22no—
631SD16×C23—41no—
632SD16×C23—41no—
633SD16×C23—41no—
634SD16×C23—41no—
635SD16×C23—41no—
636SD16×C23—41no—
637D8×C23—22no—
638D8×C23—22no—
639D8×C23—22no—
640D8×C23—41no—
641D8×C23—41no—
642D8×C23—41no—
643D8×C23—41no—
644D8×C23—41no—
645D8×C23—41no—
646D8×C23—41no—
647D8×C23—41no—
648D8×C23—41no—
649M16×C23—41no—
650M16×C23—41no—
651C2×C8×C23—41no—
652C2×C8×C23—41no—
653C2×C8×C23—41no—
654C2×C8×C23—41no—
655C2×C8×C23—41no—
656C2×C8×C23—41no—
657C2×C8×C23C2411yescharacteristic
658C2×C8×C23C2411yescharacteristic
659C2×C8×C23C2411yescharacteristic
660C2×C8×C23C2411yescharacteristic
661C2×C8×C23C2411yescharacteristic
662C2×C8×C23C2411yescharacteristic
663C2×C8×C23C2411yescharacteristic
664C2×C8×C23C2411yescharacteristic
665C4⋊C4×C23—21no—
666C4⋊C4×C23—21no—
667C4⋊C4×C23—21no—
668C4⋊C4×C23—21no—
669C4⋊C4×C23—21no—
670C4⋊C4×C23—21no—
671C4⋊C4×C23—21no—
672C4⋊C4×C23—21no—
673C4⋊C4×C23—21no—
674C4⋊C4×C23—21no—
675C4⋊C4×C23—21no—
676C4⋊C4×C23—21no—
677C4⋊C4×C23—21no—
678C4⋊C4×C23—21no—
679C4⋊C4×C23C2×D411yescharacteristic
680C4⋊C4×C23C2×D411yescharacteristic
681C4⋊C4×C23C2×D411yescharacteristic
682C4⋊C4×C23C2×D411yescharacteristic
683C4⋊C4×C23C2×D411yescharacteristic
684C4⋊C4×C23C2×D411yescharacteristic
685C4⋊C4×C23C2411yescharacteristic
686C4⋊C4×C23C2411yescharacteristic
687C4⋊C4×C23C2411yescharacteristic
688C4⋊C4×C23C2411yescharacteristic
689C4⋊C4×C23C2411yescharacteristic
690C4⋊C4×C23C2411yescharacteristic
691C22⋊C4×C23—21no—
692C22⋊C4×C23—21no—
693C22⋊C4×C23—21no—
694C22⋊C4×C23—21no—
695C22⋊C4×C23—21no—
696C22⋊C4×C23—21no—
697C22⋊C4×C23—21no—
698C22⋊C4×C23—21no—
699C22⋊C4×C23—21no—
700C22⋊C4×C23—21no—
701C22⋊C4×C23—21no—
702C22⋊C4×C23—21no—
703C22⋊C4×C23—21no—
704C22⋊C4×C23—21no—
705C22⋊C4×C23—21no—
706C22⋊C4×C23—21no—
707C22⋊C4×C23—21no—
708C22⋊C4×C23—21no—
709C22⋊C4×C23—21no—
710C22⋊C4×C23—21no—
711C22⋊C4×C23—21no—
712C22⋊C4×C23—21no—
713C22⋊C4×C23—21no—
714C22⋊C4×C23—21no—
715C22⋊C4×C23—21no—
716C22⋊C4×C23—21no—
717C22⋊C4×C23—21no—
718C22⋊C4×C23—21no—
719C22⋊C4×C23—21no—
720C22⋊C4×C23—21no—
721C22⋊C4×C23—21no—
722C22⋊C4×C23—21no—
723C22⋊C4×C23—21no—
724C22⋊C4×C23C2×D411yescharacteristic
725C22⋊C4×C23C2×D411yescharacteristic
726C22⋊C4×C23C2×D411yescharacteristic
727C22⋊C4×C23C2×D411yescharacteristic
728C22⋊C4×C23C2×D411yescharacteristic
729C22⋊C4×C23C2×D411yescharacteristic
730C22⋊C4×C23C2×D411yescharacteristic
731C22⋊C4×C23C2×D411yescharacteristic
732C22⋊C4×C23C2×D411yescharacteristic
733C22⋊C4×C23C2×D411yescharacteristic
734C42×C23—21no—
735C42×C23—21no—
736C42×C23—21no—
737C42×C23—21no—
738C42×C23—21no—
739C42×C23C2411yescharacteristic
740C42×C23C2411yescharacteristic
741#61639C2311yesmaximal, characteristic, direct product factor, Sylow
742C23×C23—21no—
743C23×C23—22no—
744C23×C23—21no—
745C23×C23—21no—
746C23×C23—21no—
747C23×C23—21no—
748C23×C23—21no—
749C23×C23—21no—
750C23×C23—41no—
751C23×C23—41no—
752C23×C23—42no—
753C23×C23—42no—
754C23×C23—42no—
755C23×C23—42no—
756C23×C23—42no—
757C23×C23—42no—
758C23×C23—81no—
759C23×C23—81no—
760C23×C23—81no—
761C23×C23—81no—
762C23×C23—81no—
763C23×C23—81no—
764C23×C23—81no—
765C23×C23—81no—
766C23×C23—81no—
767C23×C23—81no—
768C23×C23—81no—
769C23×C23—81no—
770C23×C23C22×D411yescharacteristic
771C23×C23C22×D411yescharacteristic
772C23×C23C22×D411yescharacteristic
773C23×C23C22×D411yescharacteristic
774C23×C23C22×D411yescharacteristic
775Q8×C23—21no—
776Q8×C23—21no—
777Q8×C23—21no—
778Q8×C23—21no—
779Q8×C23—21no—
780Q8×C23—41no—
781Q8×C23—42no—
782Q8×C23—81no—
783Q8×C23H(5,𝔽2)12yes—
784D4×C23—24no—
785D4×C23—22no—
786D4×C23—22no—
787D4×C23—21no—
788D4×C23—21no—
789D4×C23—21no—
790D4×C23—21no—
791D4×C23—21no—
792D4×C23—21no—
793D4×C23—21no—
794D4×C23—21no—
795D4×C23—21no—
796D4×C23—21no—
797D4×C23—21no—
798D4×C23—21no—
799D4×C23—21no—
800D4×C23—41no—
801D4×C23—41no—
802D4×C23—41no—
803D4×C23—41no—
804D4×C23—41no—
805D4×C23—42no—
806D4×C23—42no—
807D4×C23—42no—
808D4×C23—42no—
809D4×C23—42no—
810D4×C23—42no—
811D4×C23—42no—
812D4×C23—42no—
813D4×C23—42no—
814D4×C23—42no—
815D4×C23—42no—
816D4×C23—42no—
817D4×C23—81no—
818D4×C23—81no—
819D4×C23—81no—
820D4×C23—81no—
821D4×C23—81no—
822D4×C23—81no—
823D4×C23—81no—
824D4×C23—81no—
825D4×C23—81no—
826D4×C23—81no—
827D4×C23—81no—
828D4×C23—81no—
829D4×C23—81no—
830D4×C23—81no—
831D4×C23—81no—
832D4×C23—81no—
833D4×C23—81no—
834D4×C23—81no—
835D4×C23—81no—
836D4×C23—81no—
837D4×C23—81no—
838D4×C23—81no—
839D4×C23H(5,𝔽2)12yes—
840C2×C4×C23—24no—
841C2×C4×C23—21no—
842C2×C4×C23—21no—
843C2×C4×C23—21no—
844C2×C4×C23—21no—
845C2×C4×C23—21no—
846C2×C4×C23—21no—
847C2×C4×C23—21no—
848C2×C4×C23—21no—
849C2×C4×C23—21no—
850C2×C4×C23—21no—
851C2×C4×C23—21no—
852C2×C4×C23—21no—
853C2×C4×C23—21no—
854C2×C4×C23—21no—
855C2×C4×C23—21no—
856C2×C4×C23—21no—
857C2×C4×C23—21no—
858C2×C4×C23—21no—
859C2×C4×C23—21no—
860C2×C4×C23—41no—
861C2×C4×C23—41no—
862C2×C4×C23—41no—
863C2×C4×C23—42no—
864C2×C4×C23—42no—
865C2×C4×C23—42no—
866C2×C4×C23—42no—
867C2×C4×C23—42no—
868C2×C4×C23—42no—
869C2×C4×C23—42no—
870C2×C4×C23—81no—
871C2×C4×C23—81no—
872C2×C4×C23—81no—
873C2×C4×C23—81no—
874C2×C4×C23—81no—
875C2×C4×C23—81no—
876C2×C4×C23—81no—
877C2×C4×C23—81no—
878C2×C4×C23—81no—
879C2×C4×C23C22×D411yescharacteristic
880C2×C4×C23C22×D411yescharacteristic
881C2×C4×C23C22×D411yescharacteristic
882C2×C4×C23C22×D411yescharacteristic
883C2×C4×C23C22×D411yescharacteristic
884C2×C4×C23C22×D411yescharacteristic
885C2×C4×C23C22×D411yescharacteristic
886C2×C4×C23C22×D411yescharacteristic
887C2×C4×C23C22×D411yescharacteristic
888C2×C4×C23C2511yescharacteristic
889C8×C23—21no—
890C8×C23—21no—
891C8×C23—21no—
892C8×C23—21no—
893C8×C23—21no—
894C8×C23—21no—
895C8×C23—21no—
896C8×C23—21no—
897#3542C2×C2311yescharacteristic, complemented
898#3488C2×C2311yescharacteristic, complemented
899#3319C2×C2311yescharacteristic, complemented
900#3310C2×C2311yescharacteristic, complemented
901#3309C2×C2311yescharacteristic, complemented
902#3308C2×C2311yescharacteristic, complemented
903#3305C2×C2311yescharacteristic, complemented
904#3300C2×C2311yescharacteristic, complemented
905#3297C2×C2311yescharacteristic, complemented
906#3294C2×C2311yescharacteristic, complemented
907#3287C2×C2311yescharacteristic, complemented
908#3282C2×C2311yescharacteristic, complemented
909#3280C2×C2311yescharacteristic, complemented
910D4×D8C2×C2311yescharacteristic, complemented
911#3268C2×C2311yescharacteristic, complemented
912#3268C2×C2311yescharacteristic, complemented
913#3265C2×C2311yescharacteristic, complemented
914#3264C2×C2311yescharacteristic, complemented
915#3224C2×C2311yescharacteristic, complemented
916#3220C2×C2311yescharacteristic, complemented
917#3203C2×C2311yescharacteristic, complemented
918#3198C2×C2311yescharacteristic, complemented
919#3188C2×C2311yescharacteristic, complemented
920#3186C2×C2311yescharacteristic, complemented
921#3124C2×C2311yescharacteristic, complemented
922#3119C2×C2311yescharacteristic, complemented
923#3012C2×C2311yescharacteristic, complemented
924#3008C2×C2311yescharacteristic, complemented
925#3002C2×C2311yescharacteristic, complemented
926C2×#449C2×C2311yescharacteristic, complemented
927#2977C2×C2311yescharacteristic, complemented
928C22×C23—21no—
929C22×C23—21no—
930C22×C23—21no—
931C22×C23—21no—
932C22×C23—21no—
933C22×C23—21no—
934C22×C23—21no—
935C22×C23—22no—
936C22×C23—21no—
937C22×C23—21no—
938C22×C23—21no—
939C22×C23—21no—
940C22×C23—21no—
941C22×C23—21no—
942C22×C23—21no—
943C22×C23—41no—
944C22×C23—41no—
945C22×C23—41no—
946C22×C23—41no—
947C22×C23—41no—
948C22×C23—41no—
949C22×C23—41no—
950C22×C23—41no—
951C22×C23—41no—
952C22×C23—41no—
953C22×C23—41no—
954C22×C23—41no—
955C22×C23—41no—
956C22×C23—41no—
957C22×C23—41no—
958C22×C23—41no—
959C22×C23—41no—
960C22×C23—41no—
961C22×C23—41no—
962C22×C23—41no—
963C22×C23—82no—
964C22×C23—84no—
965C22×C23—162no—
966C22×C23—162no—
967C22×C23—162no—
968C22×C23—162no—
969C22×C23—162no—
970C22×C23#57612yes—
971C22×C23C23×D411yescharacteristic
972C4×C23—21no—
973C4×C23—21no—
974C4×C23—21no—
975C4×C23—22no—
976C4×C23—21no—
977C4×C23—21no—
978C4×C23—21no—
979C4×C23—21no—
980C4×C23—21no—
981C4×C23—21no—
982C4×C23—41no—
983C4×C23—41no—
984C4×C23—41no—
985C4×C23—41no—
986C4×C23—41no—
987C4×C23—41no—
988C4×C23—41no—
989C4×C23—41no—
990C4×C23C2×H(5,𝔽2)11yescharacteristic
991C4×C23C2×H(5,𝔽2)11yescharacteristic
992C2×H(5,𝔽2)C22×C2311yescharacteristic, complemented
993C22×#41C22×C2311yescharacteristic, complemented
994C2×AGL(1,ℤ/8)C22×C2311yescharacteristic, complemented
995C2×AGL(1,ℤ/8)C22×C2311yescharacteristic, complemented
996C2×#135C22×C2311yescharacteristic, complemented
997C2×#135C22×C2311yescharacteristic, complemented
998C2×#135C22×C2311yescharacteristic, complemented
999C22×SD16C22×C2311yescharacteristic, complemented
1000C22×D8C22×C2311yescharacteristic, complemented
1001C22×D8C22×C2311yescharacteristic, complemented
1002#562—21no—
1003#560—21no—
1004#555C22×C2311yescharacteristic, complemented
1005#553C22×C2311yescharacteristic, complemented
1006#552C22×C2311yescharacteristic, complemented
1007#551—21no—
1008#550C22×C2311yescharacteristic, complemented
1009#550C22×C2311yescharacteristic, complemented
1010#550C22×C2311yescharacteristic, complemented
1011#548C22×C2311yescharacteristic
1012#548C22×C2311yescharacteristic, complemented
1013#547C22×C2311yescharacteristic, complemented
1014#546—21no—
1015#546—21no—
1016#546—21no—
1017#546C22×C2311yescharacteristic, complemented
1018#546C22×C2311yescharacteristic, complemented
1019#546C22×C2311yescharacteristic, complemented
1020#546C22×C2311yescharacteristic, complemented
1021D42—21no—
1022D42—21no—
1023D42C22×C2311yescharacteristic
1024D42C22×C2311yescharacteristic, complemented
1025D42C22×C2311yescharacteristic, complemented
1026#542C22×C2311yescharacteristic, complemented
1027#540—21no—
1028#540C22×C2311yescharacteristic, complemented
1029#538—21no—
1030#537—21no—
1031#537C22×C2311yescharacteristic, complemented
1032#537C22×C2311yescharacteristic, complemented
1033#535—21no—
1034#535—21no—
1035#535C22×C2311yescharacteristic, complemented
1036#535C22×C2311yescharacteristic, complemented
1037#534—21no—
1038#525—21no—
1039#525C22×C2311yescharacteristic
1040#525C22×C2311yescharacteristic, complemented
1041C2×#121—21no—
1042C2×#121C22×C2311yescharacteristic, complemented
1043C2×#121C22×C2311yescharacteristic, complemented
1044#520C22×C2311yescharacteristic, complemented
1045#496C22×C2311yescharacteristic, complemented
1046#496C22×C2311yescharacteristic, complemented
1047#495C22×C2311yescharacteristic, complemented
1048#493C22×C2311yescharacteristic, complemented
1049#490C22×C2311yescharacteristic, complemented
1050#489C22×C2311yescharacteristic, complemented
1051#488C22×C2311yescharacteristic, complemented
1052#486C22×C2311yescharacteristic, complemented
1053#485C22×C2311yescharacteristic, complemented
1054#484C22×C2311yescharacteristic, complemented
1055#484C22×C2311yescharacteristic, complemented
1056#482C22×C2311yescharacteristic, complemented
1057#482C22×C2311yescharacteristic, complemented
1058#482C22×C2311yescharacteristic, complemented
1059#481C22×C2311yescharacteristic, complemented
1060#480C22×C2311yescharacteristic, complemented
1061#480C22×C2311yescharacteristic, complemented
1062#480C22×C2311yescharacteristic, complemented
1063#480C22×C2311yescharacteristic, complemented
1064#480C22×C2311yescharacteristic, complemented
1065#479C22×C2311yescharacteristic, complemented
1066#478C22×C2311yescharacteristic, complemented
1067#477C22×C2311yescharacteristic, complemented
1068#474C22×C2311yescharacteristic, complemented
1069#469C22×C2311yescharacteristic, complemented
1070#468C22×C2311yescharacteristic, complemented
1071#468C22×C2311yescharacteristic, complemented
1072#468C22×C2311yescharacteristic, complemented
1073#467C22×C2311yescharacteristic, complemented
1074#466C22×C2311yescharacteristic, complemented
1075#466C22×C2311yescharacteristic, complemented
1076#466C22×C2311yescharacteristic, complemented
1077#466C22×C2311yescharacteristic, complemented
1078#466C22×C2311yescharacteristic, complemented
1079#466C22×C2311yescharacteristic, complemented
1080#466C22×C2311yescharacteristic, complemented
1081#466C22×C2311yescharacteristic, complemented
1082#465C22×C2311yescharacteristic, complemented
1083#465C22×C2311yescharacteristic, complemented
1084#465C22×C2311yescharacteristic, complemented
1085#464C22×C2311yescharacteristic, complemented
1086#464C22×C2311yescharacteristic, complemented
1087#463C22×C2311yescharacteristic, complemented
1088#463C22×C2311yescharacteristic, complemented
1089#463C22×C2311yescharacteristic, complemented
1090#463C22×C2311yescharacteristic, complemented
1091#460C22×C2311yescharacteristic, complemented
1092#460C22×C2311yescharacteristic, complemented
1093#459C22×C2311yescharacteristic, complemented
1094#459C22×C2311yescharacteristic, complemented
1095#459C22×C2311yescharacteristic, complemented
1096#459C22×C2311yescharacteristic, complemented
1097#452C22×C2311yescharacteristic, complemented
1098#452C22×C2311yescharacteristic, complemented
1099#452C22×C2311yescharacteristic, complemented
1100#452C22×C2311yescharacteristic, complemented
1101#451C22×C2311yescharacteristic, complemented
1102#450C22×C2311yescharacteristic, complemented
1103#450C22×C2311yescharacteristic, complemented
1104#450C22×C2311yescharacteristic, complemented
1105#450C22×C2311yescharacteristic, complemented
1106#449C22×C2311yescharacteristic
1107#449C22×C2311yescharacteristic, complemented
1108#449C22×C2311yescharacteristic, complemented
1109#449C22×C2311yescharacteristic, complemented
1110#449C22×C2311yescharacteristic, complemented
1111#449C22×C2311yescharacteristic, complemented
1112#449C22×C2311yescharacteristic, complemented
1113#449C22×C2311yescharacteristic, complemented
1114#449C22×C2311yescharacteristic, complemented
1115#449C22×C2311yescharacteristic, complemented
1116#449C22×C2311yescharacteristic, complemented
1117#449C22×C2311yescharacteristic, complemented
1118#449C22×C2311yescharacteristic, complemented
1119#449C22×C2311yescharacteristic, complemented
1120#449C22×C2311yescharacteristic, complemented
1121#449C22×C2311yescharacteristic, complemented
1122#448C22×C2311yescharacteristic, complemented
1123#447C22×C2311yescharacteristic, complemented
1124#447C22×C2311yescharacteristic, complemented
1125#447C22×C2311yescharacteristic, complemented
1126#447C22×C2311yescharacteristic, complemented
1127#447C22×C2311yescharacteristic, complemented
1128#447C22×C2311yescharacteristic, complemented
1129#447C22×C2311yescharacteristic, complemented
1130#447C22×C2311yescharacteristic, complemented
1131#447C22×C2311yescharacteristic, complemented
1132#447C22×C2311yescharacteristic, complemented
1133#442C22×C2311yescharacteristic, complemented
1134#440C22×C2311yescharacteristic, complemented
1135#440C22×C2311yescharacteristic, complemented
1136#440C22×C2311yescharacteristic, complemented
1137C4×Q16C22×C2311yescharacteristic, complemented
1138C4×SD16C22×C2311yescharacteristic, complemented
1139C4×D8C22×C2311yescharacteristic, complemented
1140C4×D8C22×C2311yescharacteristic, complemented
1141#435C22×C2311yescharacteristic, complemented
1142#435C22×C2311yescharacteristic, complemented
1143#435C22×C2311yescharacteristic, complemented
1144#435C22×C2311yescharacteristic, complemented
1145C8×D4C22×C2311yescharacteristic, complemented
1146C8×D4C22×C2311yescharacteristic, complemented
1147C8×D4C22×C2311yescharacteristic, complemented
1148C8×D4C22×C2311yescharacteristic, complemented
1149#433C22×C2311yescharacteristic, complemented
1150#433C22×C2311yescharacteristic, complemented
1151#418C22×C2311yescharacteristic, complemented
1152#417C22×C2311yescharacteristic, complemented
1153#416C22×C2311yescharacteristic, complemented
1154#416C22×C2311yescharacteristic, complemented
1155#416C22×C2311yescharacteristic, complemented
1156C2×#103C22×C2311yescharacteristic, complemented
1157C2×#102C22×C2311yescharacteristic, complemented
1158C2×#102C22×C2311yescharacteristic, complemented
1159#408C22×C2311yescharacteristic, complemented
1160#408C22×C2311yescharacteristic, complemented
1161C2×C22⋊C8C22×C2311yescharacteristic, complemented
1162C2×C22⋊C8C22×C2311yescharacteristic, complemented
1163C2×C23—22no—
1164C2×C23—41no—
1165C2×C23—41no—
1166C2×C23—41no—
1167C2×C23—41no—
1168C2×C23—42no—
1169C2×C23—81no—
1170C2×C23—81no—
1171C2×C23—81no—
1172C2×C23—81no—
1173C2×C23—81no—
1174C2×C23—81no—
1175C2×C23#348411yescharacteristic
1176C2×C23C2×#57611yescharacteristic
1177C2×C23#358411yescharacteristic
1178H(5,𝔽2)—42no—
1179H(5,𝔽2)—42no—
1180C2×#41—21no—
1181C2×#41—21no—
1182C2×#41—21no—
1183C2×#41—21no—
1184C2×#41—42no—
1185C2×#41—42no—
1186C2×#41C23×C2311yescharacteristic
1187C2×#41C23×C2311yescharacteristic
1188C2×#41C23×C2311yescharacteristic
1189C2×#41C23×C2311yescharacteristic
1190C2×#41C23×C2311yescharacteristic
1191C2×#41C23×C2311yescharacteristic
1192C2×#41C23×C2311yescharacteristic
1193C2×#41C23×C2311yescharacteristic
1194C2×#41C23×C2311yescharacteristic
1195C22×Q8C23×C2311yescharacteristic
1196C22×D4—21no—
1197C22×D4—21no—
1198C22×D4—21no—
1199C22×D4—21no—
1200C22×D4—21no—
1201C22×D4—21no—
1202C22×D4—21no—
1203C22×D4—21no—
1204C22×D4—21no—
1205C22×D4C23×C2311yescharacteristic
1206C22×D4C23×C2311yescharacteristic
1207C22×D4C23×C2311yescharacteristic
1208C22×D4C23×C2311yescharacteristic
1209C22×D4C23×C2311yescharacteristic
1210C22×D4C23×C2311yescharacteristic
1211C23×C4—21no—
1212C23×C4C23×C2311yescharacteristic
1213AGL(1,ℤ/8)—42no—
1214AGL(1,ℤ/8)—42no—
1215#135—42no—
1216#135—42no—
1217#135—42no—
1218C2×Q16C23×C2311yescharacteristic
1219C2×Q16C23×C2311yescharacteristic
1220C2×SD16—42no—
1221C2×SD16C23×C2311yescharacteristic
1222C2×SD16C23×C2311yescharacteristic
1223C2×SD16C23×C2311yescharacteristic
1224C2×SD16C23×C2311yescharacteristic
1225C2×SD16C23×C2311yescharacteristic
1226C2×SD16C23×C2311yescharacteristic
1227C2×SD16C23×C2311yescharacteristic
1228C2×SD16C23×C2311yescharacteristic
1229C2×SD16C23×C2311yescharacteristic
1230C2×SD16C23×C2311yescharacteristic
1231C2×D8—42no—
1232C2×D8—42no—
1233C2×D8C23×C2311yescharacteristic
1234C2×D8C23×C2311yescharacteristic
1235C2×D8C23×C2311yescharacteristic
1236C2×D8C23×C2311yescharacteristic
1237C2×D8C23×C2311yescharacteristic
1238C2×D8C23×C2311yescharacteristic
1239C2×D8C23×C2311yescharacteristic
1240C2×D8C23×C2311yescharacteristic
1241C2×D8C23×C2311yescharacteristic
1242C2×D8C23×C2311yescharacteristic
1243C2×D8C23×C2311yescharacteristic
1244C2×D8C23×C2311yescharacteristic
1245C2×M16C23×C2311yescharacteristic
1246C2×M16C23×C2311yescharacteristic
1247C22×C8C23×C2311yescharacteristic
1248C22×C8C23×C2311yescharacteristic
1249C22×C8C23×C2311yescharacteristic
1250C22×C8C23×C2311yescharacteristic
1251C22×C8C23×C2311yescharacteristic
1252C22×C8C23×C2311yescharacteristic
1253C4⋊Q8C23×C2311yescharacteristic
1254#127—21no—
1255#127—21no—
1256#127—21no—
1257#127—21no—
1258#127C23×C2311yescharacteristic
1259#127C23×C2311yescharacteristic
1260#127C23×C2311yescharacteristic
1261#126—21no—
1262#126—21no—
1263#126—21no—
1264#125—21no—
1265#125C23×C2311yescharacteristic
1266#124—21no—
1267#124—21no—
1268#124—21no—
1269#124—21no—
1270#124—21no—
1271#124—21no—
1272#124C23×C2311yescharacteristic
1273#124C23×C2311yescharacteristic
1274#124C23×C2311yescharacteristic
1275#123—21no—
1276#123—21no—
1277#123—21no—
1278#123—21no—
1279#123—21no—
1280#123—21no—
1281#123—21no—
1282#123—21no—
1283#123—21no—
1284#123—21no—
1285#123—21no—
1286#123—21no—
1287#123D4×C2311yescharacteristic
1288#123D4×C2311yescharacteristic
1289C22⋊Q8—21no—
1290C22⋊Q8—21no—
1291C22⋊Q8—21no—
1292C22⋊Q8—21no—
1293C22⋊Q8—21no—
1294C22⋊Q8—21no—
1295C22⋊Q8D4×C2311yescharacteristic
1296C22⋊Q8D4×C2311yescharacteristic
1297C22⋊Q8C23×C2311yescharacteristic
1298C22⋊Q8C23×C2311yescharacteristic
1299C22⋊Q8C23×C2311yescharacteristic
1300C22⋊Q8C23×C2311yescharacteristic
1301C22⋊Q8C23×C2311yescharacteristic
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#121—21no—
1320#121—21no—
1321#121—21no—
1322#121—21no—
1323#121—21no—
1324#121—21no—
1325#121—21no—
1326#121—21no—
1327#121—21no—
1328#121—21no—
1329#121—21no—
1330#121—21no—
1331#121—21no—
1332#121—21no—
1333#121D4×C2311yescharacteristic
1334#121D4×C2311yescharacteristic
1335#121C23×C2311yescharacteristic
1336#121C23×C2311yescharacteristic
1337#121C23×C2311yescharacteristic
1338#121C23×C2311yescharacteristic
1339#121C23×C2311yescharacteristic
1340#121C23×C2311yescharacteristic
1341#121C23×C2311yescharacteristic
1342#121C23×C2311yescharacteristic
1343#121C23×C2311yescharacteristic
1344#121C23×C2311yescharacteristic
1345#121C23×C2311yescharacteristic
1346#121C23×C2311yescharacteristic
1347#121C23×C2311yescharacteristic
1348#121C23×C2311yescharacteristic
1349#121C23×C2311yescharacteristic
1350#120—21no—
1351#120—21no—
1352#120—21no—
1353#120—21no—
1354#120—21no—
1355#120—21no—
1356#120—21no—
1357#120—21no—
1358#120—21no—
1359#120—21no—
1360#120—21no—
1361#120—21no—
1362#120—21no—
1363#120—21no—
1364#120—21no—
1365#120D4×C2311yescharacteristic
1366#120D4×C2311yescharacteristic
1367C4×Q8C23×C2311yescharacteristic
1368C4×Q8C23×C2311yescharacteristic
1369C4×Q8C23×C2311yescharacteristic
1370C4×D4—21no—
1371C4×D4—21no—
1372C4×D4—21no—
1373C4×D4—21no—
1374C4×D4—21no—
1375C4×D4—21no—
1376C4×D4—21no—
1377C4×D4—21no—
1378C4×D4—21no—
1379C4×D4—21no—
1380C4×D4C23×C2311yescharacteristic
1381C4×D4C23×C2311yescharacteristic
1382C4×D4C23×C2311yescharacteristic
1383C4×D4C23×C2311yescharacteristic
1384C4×D4C23×C2311yescharacteristic
1385C4×D4C23×C2311yescharacteristic
1386C4×D4C23×C2311yescharacteristic
1387C4×D4C23×C2311yescharacteristic
1388C4×D4C23×C2311yescharacteristic
1389#117—21no—
1390#117—21no—
1391#117—21no—
1392#117C23×C2311yescharacteristic
1393#117C23×C2311yescharacteristic
1394#117C23×C2311yescharacteristic
1395C2×C4⋊C4—21no—
1396C2×C4⋊C4C23×C2311yescharacteristic
1397C2×C4⋊C4C23×C2311yescharacteristic
1398C2×C4⋊C4C23×C2311yescharacteristic
1399C2×C22⋊C4—21no—
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—21no—
1402C2×C22⋊C4—21no—
1403C2×C22⋊C4—21no—
1404C2×C22⋊C4—21no—
1405#107C23×C2311yescharacteristic
1406#107C23×C2311yescharacteristic
1407#107C23×C2311yescharacteristic
1408#107C23×C2311yescharacteristic
1409#107C23×C2311yescharacteristic
1410#107C23×C2311yescharacteristic
1411#106C23×C2311yescharacteristic
1412#106C23×C2311yescharacteristic
1413C4⋊C8C23×C2311yescharacteristic
1414C4⋊C8C23×C2311yescharacteristic
1415C4⋊C8C23×C2311yescharacteristic
1416C4⋊C8C23×C2311yescharacteristic
1417#103C23×C2311yescharacteristic
1418#103C23×C2311yescharacteristic
1419#103C23×C2311yescharacteristic
1420#103C23×C2311yescharacteristic
1421#103C23×C2311yescharacteristic
1422#103C23×C2311yescharacteristic
1423#103C23×C2311yescharacteristic
1424#103C23×C2311yescharacteristic
1425#103C23×C2311yescharacteristic
1426#103C23×C2311yescharacteristic
1427#102C23×C2311yescharacteristic
1428#102C23×C2311yescharacteristic
1429#102C23×C2311yescharacteristic
1430#102C23×C2311yescharacteristic
1431#102C23×C2311yescharacteristic
1432#102C23×C2311yescharacteristic
1433#102C23×C2311yescharacteristic
1434#102C23×C2311yescharacteristic
1435#102C23×C2311yescharacteristic
1436#102C23×C2311yescharacteristic
1437#102C23×C2311yescharacteristic
1438#102C23×C2311yescharacteristic
1439#102C23×C2311yescharacteristic
1440#102C23×C2311yescharacteristic
1441#102C23×C2311yescharacteristic
1442#102C23×C2311yescharacteristic
1443#102C23×C2311yescharacteristic
1444#102C23×C2311yescharacteristic
1445#102C23×C2311yescharacteristic
1446#102C23×C2311yescharacteristic
1447#102C23×C2311yescharacteristic
1448#102C23×C2311yescharacteristic
1449C22⋊C8C23×C2311yescharacteristic
1450C22⋊C8C23×C2311yescharacteristic
1451C22⋊C8C23×C2311yescharacteristic
1452C22⋊C8C23×C2311yescharacteristic
1453C22⋊C8C23×C2311yescharacteristic
1454C22⋊C8C23×C2311yescharacteristic
1455C22⋊C8C23×C2311yescharacteristic
1456C22⋊C8C23×C2311yescharacteristic
1457C22⋊C8C23×C2311yescharacteristic
1458C22⋊C8C23×C2311yescharacteristic
1459C22⋊C8C23×C2311yescharacteristic
1460C22⋊C8C23×C2311yescharacteristic
1461#97C23×C2311yescharacteristic
1462#97C23×C2311yescharacteristic
1463C4×C8C23×C2311yescharacteristic
1464C4×C8C23×C2311yescharacteristic
1465C23#6163911yescharacteristic, direct product factor, Sylow
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—21no—
1470C24—21no—
1471C24—21no—
1472C24C2×D4×C2311yescharacteristic
1473#41—22no—
1474#41—22no—
1475#41—22no—
1476#41—22no—
1477#41—22no—
1478#41—22no—
1479#41—41no—
1480#41—41no—
1481#41—41no—
1482#41—41no—
1483#41—41no—
1484#41—41no—
1485#41—41no—
1486#41—41no—
1487#41—44no—
1488#41—44no—
1489#41—41no—
1490#41—41no—
1491#41—41no—
1492#41—41no—
1493#41—44no—
1494#41—82no—
1495C2×Q8—21no—
1496C2×Q8—21no—
1497C2×Q8—22no—
1498C2×Q8—41no—
1499C2×Q8C2×D4×C2311yescharacteristic
1500C2×Q8C24×C2311yescharacteristic
1501C2×Q8C24×C2311yescharacteristic
1502C2×Q8C24×C2311yescharacteristic
1503C2×D4—21no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—22no—
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—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—21no—
1534C2×D4—21no—
1535C2×D4—21no—
1536C2×D4—21no—
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—21no—
1541C2×D4—41no—
1542C2×D4—41no—
1543C2×D4—41no—
1544C2×D4—41no—
1545C2×D4—41no—
1546C2×D4—41no—
1547C2×D4—41no—
1548C2×D4—41no—
1549C2×D4—41no—
1550C2×D4—44no—
1551C2×D4—44no—
1552C2×D4—44no—
1553C2×D4—44no—
1554C2×D4—82no—
1555C2×D4—82no—
1556C2×D4—82no—
1557C2×D4—82no—
1558C2×D4—82no—
1559C2×D4C2×D4×C2311yescharacteristic
1560C2×D4C2×D4×C2311yescharacteristic
1561C2×D4C2×D4×C2311yescharacteristic
1562C2×D4C2×D4×C2311yescharacteristic
1563C2×D4C2×D4×C2311yescharacteristic
1564C2×D4C2×D4×C2311yescharacteristic
1565C2×D4C2×D4×C2311yescharacteristic
1566C2×D4C24×C2311yescharacteristic
1567C2×D4C24×C2311yescharacteristic
1568C2×D4C24×C2311yescharacteristic
1569C2×D4C24×C2311yescharacteristic
1570C2×D4C24×C2311yescharacteristic
1571C2×D4C24×C2311yescharacteristic
1572C2×D4C24×C2311yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—21no—
1579C22×C4—21no—
1580C22×C4—21no—
1581C22×C4—21no—
1582C22×C4—21no—
1583C22×C4—21no—
1584C22×C4—21no—
1585C22×C4—21no—
1586C22×C4—21no—
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—21no—
1590C22×C4—41no—
1591C22×C4—41no—
1592C22×C4—44no—
1593C22×C4C2×D4×C2311yescharacteristic
1594C22×C4C2×D4×C2311yescharacteristic
1595C22×C4C2×D4×C2311yescharacteristic
1596C22×C4C24×C2311yescharacteristic
1597C22×C4C24×C2311yescharacteristic
1598C22×C4C24×C2311yescharacteristic
1599C22×C4C24×C2311yescharacteristic
1600C22×C4C24×C2311yescharacteristic
1601Q16—22no—
1602Q16—41no—
1603SD16—22no—
1604SD16—22no—
1605SD16—22no—
1606SD16—22no—
1607SD16—41no—
1608SD16—41no—
1609SD16—41no—
1610SD16—41no—
1611SD16—41no—
1612SD16—41no—
1613D8—22no—
1614D8—22no—
1615D8—22no—
1616D8—41no—
1617D8—41no—
1618D8—41no—
1619D8—41no—
1620D8—41no—
1621D8—41no—
1622D8—41no—
1623D8—41no—
1624D8—41no—
1625M16—41no—
1626M16—41no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—41no—
1630C2×C8—41no—
1631C2×C8—41no—
1632C2×C8—41no—
1633C2×C8C24×C2311yescharacteristic
1634C2×C8C24×C2311yescharacteristic
1635C2×C8C24×C2311yescharacteristic
1636C2×C8C24×C2311yescharacteristic
1637C2×C8C24×C2311yescharacteristic
1638C2×C8C24×C2311yescharacteristic
1639C2×C8C24×C2311yescharacteristic
1640C2×C8C24×C2311yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4—21no—
1647C4⋊C4—21no—
1648C4⋊C4—21no—
1649C4⋊C4—21no—
1650C4⋊C4—21no—
1651C4⋊C4—21no—
1652C4⋊C4—21no—
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4C2×D4×C2311yescharacteristic
1656C4⋊C4C2×D4×C2311yescharacteristic
1657C4⋊C4C2×D4×C2311yescharacteristic
1658C4⋊C4C2×D4×C2311yescharacteristic
1659C4⋊C4C2×D4×C2311yescharacteristic
1660C4⋊C4C2×D4×C2311yescharacteristic
1661C4⋊C4C24×C2311yescharacteristic
1662C4⋊C4C24×C2311yescharacteristic
1663C4⋊C4C24×C2311yescharacteristic
1664C4⋊C4C24×C2311yescharacteristic
1665C4⋊C4C24×C2311yescharacteristic
1666C4⋊C4C24×C2311yescharacteristic
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⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—21no—
1697C22⋊C4—21no—
1698C22⋊C4—21no—
1699C22⋊C4—21no—
1700C22⋊C4C2×D4×C2311yescharacteristic
1701C22⋊C4C2×D4×C2311yescharacteristic
1702C22⋊C4C2×D4×C2311yescharacteristic
1703C22⋊C4C2×D4×C2311yescharacteristic
1704C22⋊C4C2×D4×C2311yescharacteristic
1705C22⋊C4C2×D4×C2311yescharacteristic
1706C22⋊C4C2×D4×C2311yescharacteristic
1707C22⋊C4C2×D4×C2311yescharacteristic
1708C22⋊C4C2×D4×C2311yescharacteristic
1709C22⋊C4C2×D4×C2311yescharacteristic
1710C42—21no—
1711C42—21no—
1712C42—21no—
1713C42—21no—
1714C42—21no—
1715C42C24×C2311yescharacteristic
1716C42C24×C2311yescharacteristic
1717C23—21no—
1718C23—22no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—21no—
1724C23—21no—
1725C23—41no—
1726C23—41no—
1727C23—42no—
1728C23—42no—
1729C23—42no—
1730C23—42no—
1731C23—42no—
1732C23—42no—
1733C23—81no—
1734C23—81no—
1735C23—81no—
1736C23—81no—
1737C23—81no—
1738C23—81no—
1739C23—81no—
1740C23—81no—
1741C23—81no—
1742C23—81no—
1743C23—81no—
1744C23—81no—
1745C23C22×D4×C2311yescharacteristic
1746C23C22×D4×C2311yescharacteristic
1747C23C22×D4×C2311yescharacteristic
1748C23C22×D4×C2311yescharacteristic
1749C23C22×D4×C2311yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—41no—
1756Q8—42no—
1757Q8—81no—
1758Q8C23×H(5,𝔽2)12yes—
1759D4—24no—
1760D4—22no—
1761D4—22no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—21no—
1772D4—21no—
1773D4—21no—
1774D4—21no—
1775D4—41no—
1776D4—41no—
1777D4—41no—
1778D4—41no—
1779D4—41no—
1780D4—42no—
1781D4—42no—
1782D4—42no—
1783D4—42no—
1784D4—42no—
1785D4—42no—
1786D4—42no—
1787D4—42no—
1788D4—42no—
1789D4—42no—
1790D4—42no—
1791D4—42no—
1792D4—81no—
1793D4—81no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—81no—
1800D4—81no—
1801D4—81no—
1802D4—81no—
1803D4—81no—
1804D4—81no—
1805D4—81no—
1806D4—81no—
1807D4—81no—
1808D4—81no—
1809D4—81no—
1810D4—81no—
1811D4—81no—
1812D4—81no—
1813D4—81no—
1814D4C23×H(5,𝔽2)12yes—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—41no—
1836C2×C4—41no—
1837C2×C4—41no—
1838C2×C4—42no—
1839C2×C4—42no—
1840C2×C4—42no—
1841C2×C4—42no—
1842C2×C4—42no—
1843C2×C4—42no—
1844C2×C4—42no—
1845C2×C4—81no—
1846C2×C4—81no—
1847C2×C4—81no—
1848C2×C4—81no—
1849C2×C4—81no—
1850C2×C4—81no—
1851C2×C4—81no—
1852C2×C4—81no—
1853C2×C4—81no—
1854C2×C4C22×D4×C2311yescharacteristic
1855C2×C4C22×D4×C2311yescharacteristic
1856C2×C4C22×D4×C2311yescharacteristic
1857C2×C4C22×D4×C2311yescharacteristic
1858C2×C4C22×D4×C2311yescharacteristic
1859C2×C4C22×D4×C2311yescharacteristic
1860C2×C4C22×D4×C2311yescharacteristic
1861C2×C4C22×D4×C2311yescharacteristic
1862C2×C4C22×D4×C2311yescharacteristic
1863C2×C4C25×C2311yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—21no—
1869C8—21no—
1870C8—21no—
1871C8—21no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—22no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—21no—
1883C22—21no—
1884C22—21no—
1885C22—21no—
1886C22—21no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—82no—
1908C22—84no—
1909C22—162no—
1910C22—162no—
1911C22—162no—
1912C22—162no—
1913C22—162no—
1914C22C23×#57612yes—
1915C22C23×D4×C2311yescharacteristic
1916C4—21no—
1917C4—22no—
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—21no—
1922C4—21no—
1923C4—21no—
1924C4—21no—
1925C4—21no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—41no—
1931C4—41no—
1932C4—41no—
1933C4—41no—
1934C4C2×C23×H(5,𝔽2)11yescharacteristic
1935C4C2×C23×H(5,𝔽2)11yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—41no—
1939C2—41no—
1940C2—41no—
1941C2—42no—
1942C2—81no—
1943C2—81no—
1944C2—81no—
1945C2—81no—
1946C2—81no—
1947C2—81no—
1948C2C23×#348411yescharacteristic
1949C2C2×C23×#57611yescharacteristic
1950C2C23×#358411yescharacteristic
subgroupG/H
center, socleC22×C23C23×D4
commutator, Frattini, cosocleC2×C4C25×C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C23 ◁ C23×#525 ◁ G

Complements

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

NH ≅ G/Ntype
1. C23×#3542C2semidirect
2. C23×#3488C2semidirect
3. C23×#3319C2semidirect
4. C23×#3310C2semidirect
5. C23×#3309C2semidirect
6. C23×#3308C2semidirect
7. C23×#3305C2semidirect
8. C23×#3300C2semidirect
9. C23×#3297C2semidirect
10. C23×#3294C2semidirect
11. C23×#3287C2semidirect
12. C23×#3282C2semidirect
13. C23×#3280C2semidirect
14. D4×D8×C23C2semidirect
15. C23×#3268C2semidirect
16. C23×#3268C2semidirect
17. C23×#3265C2semidirect
18. C23×#3264C2semidirect
19. C23×#3224C2semidirect
20. C23×#3220C2semidirect
21. C23×#3203C2semidirect
22. C23×#3198C2semidirect
23. C23×#3188C2semidirect
24. C23×#3186C2semidirect
25. C23×#3124C2semidirect
26. C23×#3119C2semidirect
27. C23×#3012C2semidirect
28. C23×#3008C2semidirect
29. C23×#3002C2semidirect
30. C2×C23×#449C2semidirect
31. C23×#2977C2semidirect
32. C2×C23×H(5,𝔽2)C22semidirect
33. C22×#41×C23C22semidirect
34. C2×C23×AGL(1,ℤ/8)C22semidirect
35. C2×C23×AGL(1,ℤ/8)C22semidirect
36. C2×C23×#135C22semidirect
37. C2×C23×#135C22semidirect
38. C2×C23×#135C22semidirect
39. C22×SD16×C23C22semidirect
40. C22×D8×C23C22semidirect
41. C22×D8×C23C22semidirect
44. C23×#555C22semidirect
45. C23×#553C22semidirect
46. C23×#552C22semidirect
48. C23×#550C22semidirect
49. C23×#550C22semidirect
50. C23×#550C22semidirect
52. C23×#548C22semidirect
53. C23×#547C22semidirect
57. C23×#546C22semidirect
58. C23×#546C22semidirect
59. C23×#546C22semidirect
60. C23×#546C22semidirect
64. D42×C23C22semidirect
65. D42×C23C22semidirect
66. C23×#542C22semidirect
68. C23×#540C22semidirect
71. C23×#537C22semidirect
72. C23×#537C22semidirect
75. C23×#535C22semidirect
76. C23×#535C22semidirect
80. C23×#525C22semidirect
82. C2×C23×#121C22semidirect
83. C2×C23×#121C22semidirect
84. C23×#520C22semidirect
85. C23×#496C22semidirect
86. C23×#496C22semidirect
87. C23×#495C22semidirect
88. C23×#493C22semidirect
89. C23×#490C22semidirect
90. C23×#489C22semidirect
91. C23×#488C22semidirect
92. C23×#486C22semidirect
93. C23×#485C22semidirect
94. C23×#484C22semidirect
95. C23×#484C22semidirect
96. C23×#482C22semidirect
97. C23×#482C22semidirect
98. C23×#482C22semidirect
99. C23×#481C22semidirect
100. C23×#480C22semidirect
101. C23×#480C22semidirect
102. C23×#480C22semidirect
103. C23×#480C22semidirect
104. C23×#480C22semidirect
105. C23×#479C22semidirect
106. C23×#478C22semidirect
107. C23×#477C22semidirect
108. C23×#474C22semidirect
109. C23×#469C22semidirect
110. C23×#468C22semidirect
111. C23×#468C22semidirect
112. C23×#468C22semidirect
113. C23×#467C22semidirect
114. C23×#466C22semidirect
115. C23×#466C22semidirect
116. C23×#466C22semidirect
117. C23×#466C22semidirect
118. C23×#466C22semidirect
119. C23×#466C22semidirect
120. C23×#466C22semidirect
121. C23×#466C22semidirect
122. C23×#465C22semidirect
123. C23×#465C22semidirect
124. C23×#465C22semidirect
125. C23×#464C22semidirect
126. C23×#464C22semidirect
127. C23×#463C22semidirect
128. C23×#463C22semidirect
129. C23×#463C22semidirect
130. C23×#463C22semidirect
131. C23×#460C22semidirect
132. C23×#460C22semidirect
133. C23×#459C22semidirect
134. C23×#459C22semidirect
135. C23×#459C22semidirect
136. C23×#459C22semidirect
137. C23×#452C22semidirect
138. C23×#452C22semidirect
139. C23×#452C22semidirect
140. C23×#452C22semidirect
141. C23×#451C22semidirect
142. C23×#450C22semidirect
143. C23×#450C22semidirect
144. C23×#450C22semidirect
145. C23×#450C22semidirect
147. C23×#449C22semidirect
148. C23×#449C22semidirect
149. C23×#449C22semidirect
150. C23×#449C22semidirect
151. C23×#449C22semidirect
152. C23×#449C22semidirect
153. C23×#449C22semidirect
154. C23×#449C22semidirect
155. C23×#449C22semidirect
156. C23×#449C22semidirect
157. C23×#449C22semidirect
158. C23×#449C22semidirect
159. C23×#449C22semidirect
160. C23×#449C22semidirect
161. C23×#449C22semidirect
162. C23×#448C22semidirect
163. C23×#447C22semidirect
164. C23×#447C22semidirect
165. C23×#447C22semidirect
166. C23×#447C22semidirect
167. C23×#447C22semidirect
168. C23×#447C22semidirect
169. C23×#447C22semidirect
170. C23×#447C22semidirect
171. C23×#447C22semidirect
172. C23×#447C22semidirect
173. C23×#442C22semidirect
174. C23×#440C22semidirect
175. C23×#440C22semidirect
176. C23×#440C22semidirect
177. C4×Q16×C23C22semidirect
178. C4×SD16×C23C22semidirect
179. C4×D8×C23C22semidirect
180. C4×D8×C23C22semidirect
181. C23×#435C22semidirect
182. C23×#435C22semidirect
183. C23×#435C22semidirect
184. C23×#435C22semidirect
185. C8×D4×C23C22semidirect
186. C8×D4×C23C22semidirect
187. C8×D4×C23C22semidirect
188. C8×D4×C23C22semidirect
189. C23×#433C22semidirect
190. C23×#433C22semidirect
191. C23×#418C22semidirect
192. C23×#417C22semidirect
193. C23×#416C22semidirect
194. C23×#416C22semidirect
195. C23×#416C22semidirect
196. C2×C23×#103C22semidirect
197. C2×C23×#102C22semidirect
198. C2×C23×#102C22semidirect
199. C23×#408C22semidirect
200. C23×#408C22semidirect
201. C2×C23×C22⋊C8C22semidirect
202. C2×C23×C22⋊C8C22semidirect
741. #61639C23direct (N × H)
897. #3542C2×C23semidirect
898. #3488C2×C23semidirect
899. #3319C2×C23semidirect
900. #3310C2×C23semidirect
901. #3309C2×C23semidirect
902. #3308C2×C23semidirect
903. #3305C2×C23semidirect
904. #3300C2×C23semidirect
905. #3297C2×C23semidirect
906. #3294C2×C23semidirect
907. #3287C2×C23semidirect
908. #3282C2×C23semidirect
909. #3280C2×C23semidirect
910. D4×D8C2×C23semidirect
911. #3268C2×C23semidirect
912. #3268C2×C23semidirect
913. #3265C2×C23semidirect
914. #3264C2×C23semidirect
915. #3224C2×C23semidirect
916. #3220C2×C23semidirect
917. #3203C2×C23semidirect
918. #3198C2×C23semidirect
919. #3188C2×C23semidirect
920. #3186C2×C23semidirect
921. #3124C2×C23semidirect
922. #3119C2×C23semidirect
923. #3012C2×C23semidirect
924. #3008C2×C23semidirect
925. #3002C2×C23semidirect
926. C2×#449C2×C23semidirect
927. #2977C2×C23semidirect
992. C2×H(5,𝔽2)C22×C23semidirect
993. C22×#41C22×C23semidirect
994. C2×AGL(1,ℤ/8)C22×C23semidirect
995. C2×AGL(1,ℤ/8)C22×C23semidirect
996. C2×#135C22×C23semidirect
997. C2×#135C22×C23semidirect
998. C2×#135C22×C23semidirect
999. C22×SD16C22×C23semidirect
1000. C22×D8C22×C23semidirect
1001. C22×D8C22×C23semidirect
1004. #555C22×C23semidirect
1005. #553C22×C23semidirect
1006. #552C22×C23semidirect
1008. #550C22×C23semidirect
1009. #550C22×C23semidirect
1010. #550C22×C23semidirect
1012. #548C22×C23semidirect
1013. #547C22×C23semidirect
1017. #546C22×C23semidirect
1018. #546C22×C23semidirect
1019. #546C22×C23semidirect
1020. #546C22×C23semidirect
1024. D42C22×C23semidirect
1025. D42C22×C23semidirect
1026. #542C22×C23semidirect
1028. #540C22×C23semidirect
1031. #537C22×C23semidirect
1032. #537C22×C23semidirect
1035. #535C22×C23semidirect
1036. #535C22×C23semidirect
1040. #525C22×C23semidirect
1042. C2×#121C22×C23semidirect
1043. C2×#121C22×C23semidirect
1044. #520C22×C23semidirect
1045. #496C22×C23semidirect
1046. #496C22×C23semidirect
1047. #495C22×C23semidirect
1048. #493C22×C23semidirect
1049. #490C22×C23semidirect
1050. #489C22×C23semidirect
1051. #488C22×C23semidirect
1052. #486C22×C23semidirect
1053. #485C22×C23semidirect
1054. #484C22×C23semidirect
1055. #484C22×C23semidirect
1056. #482C22×C23semidirect
1057. #482C22×C23semidirect
1058. #482C22×C23semidirect
1059. #481C22×C23semidirect
1060. #480C22×C23semidirect
1061. #480C22×C23semidirect
1062. #480C22×C23semidirect
1063. #480C22×C23semidirect
1064. #480C22×C23semidirect
1065. #479C22×C23semidirect
1066. #478C22×C23semidirect
1067. #477C22×C23semidirect
1068. #474C22×C23semidirect
1069. #469C22×C23semidirect
1070. #468C22×C23semidirect
1071. #468C22×C23semidirect
1072. #468C22×C23semidirect
1073. #467C22×C23semidirect
1074. #466C22×C23semidirect
1075. #466C22×C23semidirect
1076. #466C22×C23semidirect
1077. #466C22×C23semidirect
1078. #466C22×C23semidirect
1079. #466C22×C23semidirect
1080. #466C22×C23semidirect
1081. #466C22×C23semidirect
1082. #465C22×C23semidirect
1083. #465C22×C23semidirect
1084. #465C22×C23semidirect
1085. #464C22×C23semidirect
1086. #464C22×C23semidirect
1087. #463C22×C23semidirect
1088. #463C22×C23semidirect
1089. #463C22×C23semidirect
1090. #463C22×C23semidirect
1091. #460C22×C23semidirect
1092. #460C22×C23semidirect
1093. #459C22×C23semidirect
1094. #459C22×C23semidirect
1095. #459C22×C23semidirect
1096. #459C22×C23semidirect
1097. #452C22×C23semidirect
1098. #452C22×C23semidirect
1099. #452C22×C23semidirect
1100. #452C22×C23semidirect
1101. #451C22×C23semidirect
1102. #450C22×C23semidirect
1103. #450C22×C23semidirect
1104. #450C22×C23semidirect
1105. #450C22×C23semidirect
1107. #449C22×C23semidirect
1108. #449C22×C23semidirect
1109. #449C22×C23semidirect
1110. #449C22×C23semidirect
1111. #449C22×C23semidirect
1112. #449C22×C23semidirect
1113. #449C22×C23semidirect
1114. #449C22×C23semidirect
1115. #449C22×C23semidirect
1116. #449C22×C23semidirect
1117. #449C22×C23semidirect
1118. #449C22×C23semidirect
1119. #449C22×C23semidirect
1120. #449C22×C23semidirect
1121. #449C22×C23semidirect
1122. #448C22×C23semidirect
1123. #447C22×C23semidirect
1124. #447C22×C23semidirect
1125. #447C22×C23semidirect
1126. #447C22×C23semidirect
1127. #447C22×C23semidirect
1128. #447C22×C23semidirect
1129. #447C22×C23semidirect
1130. #447C22×C23semidirect
1131. #447C22×C23semidirect
1132. #447C22×C23semidirect
1133. #442C22×C23semidirect
1134. #440C22×C23semidirect
1135. #440C22×C23semidirect
1136. #440C22×C23semidirect
1137. C4×Q16C22×C23semidirect
1138. C4×SD16C22×C23semidirect
1139. C4×D8C22×C23semidirect
1140. C4×D8C22×C23semidirect
1141. #435C22×C23semidirect
1142. #435C22×C23semidirect
1143. #435C22×C23semidirect
1144. #435C22×C23semidirect
1145. C8×D4C22×C23semidirect
1146. C8×D4C22×C23semidirect
1147. C8×D4C22×C23semidirect
1148. C8×D4C22×C23semidirect
1149. #433C22×C23semidirect
1150. #433C22×C23semidirect
1151. #418C22×C23semidirect
1152. #417C22×C23semidirect
1153. #416C22×C23semidirect
1154. #416C22×C23semidirect
1155. #416C22×C23semidirect
1156. C2×#103C22×C23semidirect
1157. C2×#102C22×C23semidirect
1158. C2×#102C22×C23semidirect
1159. #408C22×C23semidirect
1160. #408C22×C23semidirect
1161. C2×C22⋊C8C22×C23semidirect
1162. C2×C22⋊C8C22×C23semidirect
1465. C23#61639direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#35422
C23×#34882
C23×#33192
C23×#33102
C23×#33092
C23×#33082
C23×#33052
C23×#33002
C23×#32972
C23×#32942
C23×#32872
C23×#32822
C23×#32802
D4×D8×C232
C23×#32682
C23×#32652
C23×#32642
C23×#32242
C23×#32202
C23×#32032
C23×#31982
C23×#31882
C23×#31862
C23×#31242
C23×#31192
C23×#30122
C23×#30082
C23×#30022
C2×C23×#4492
C23×#29772
#6163923