Finite Group Databasebeta

← #25303593

Subgroups — #25303593

Order 11008.

2450 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583524C211yesmaximal, characteristic, complemented
2C2×#123×D43C211yesmaximal, characteristic
3#19142881C211yesmaximal, characteristic, complemented
4#19142879C211yesmaximal, characteristic, complemented
5#19141023C211yesmaximal, characteristic, complemented
6#19141022C211yesmaximal, characteristic, complemented
7#19141019C211yesmaximal, characteristic, complemented
8#19141018C211yesmaximal, characteristic, complemented
9#19141014C211yesmaximal, characteristic, complemented
10#19141013C211yesmaximal, characteristic, complemented
11#19141010C211yesmaximal, characteristic, complemented
12#19141009C211yesmaximal, characteristic, complemented
13#19140939C211yesmaximal, characteristic, complemented
14#19140937C211yesmaximal, characteristic, complemented
15#19140935C211yesmaximal, characteristic, complemented
16#19140934C211yesmaximal, characteristic, complemented
17#19140934C211yesmaximal, characteristic, complemented
18#19140932C211yesmaximal, characteristic, complemented
19#19140931C211yesmaximal, characteristic, complemented
20#19140413C211yesmaximal, characteristic, complemented
21#19140407C211yesmaximal, characteristic, complemented
22#19139751C211yesmaximal, characteristic, complemented
23#19139747C211yesmaximal, characteristic, complemented
24#19139070C211yesmaximal, characteristic, complemented
25#19139068C211yesmaximal, characteristic, complemented
26#19138875C211yesmaximal, characteristic, complemented
27#19138872C211yesmaximal, characteristic, complemented
28#19137919C211yesmaximal, characteristic
29#19137917C211yesmaximal, characteristic
30#19137189C211yesmaximal, characteristic, complemented
31C43×#2680C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34#14583524—28no—
35C2×#13063310C2211yescharacteristic
36C2×#13063310C2211yescharacteristic
37C2×#13063310C2211yescharacteristic
38C2×#13063309C2211yescharacteristic
39C2×#13063308C2211yescharacteristic
40C2×#13063308C2211yescharacteristic
41C2×#13063307C2211yescharacteristic
42C2×#13063307C2211yescharacteristic
43C2×#13063307C2211yescharacteristic
44C2×#13063306C2211yescharacteristic
45#123×D43—28no—
46C2×#13063305C2211yescharacteristic
47C2×#13063305C2211yescharacteristic, complemented
48C2×#13063304C2211yescharacteristic, complemented
49C2×#13063303C2211yescharacteristic
50C2×#13063303C2211yescharacteristic
51C2×#13063303C2211yescharacteristic, complemented
52C2×#13063303C2211yescharacteristic, complemented
53C2×#13063303C2211yescharacteristic, complemented
54C2×#13063302C2211yescharacteristic, complemented
55C2×#13063302C2211yescharacteristic, complemented
56C2×#13063302C2211yescharacteristic, complemented
57C2×#13063301C2211yescharacteristic
58C2×#13063301C2211yescharacteristic, complemented
59C2×#13063301C2211yescharacteristic, complemented
60C2×C4⋊C4×D43C2211yescharacteristic
61C2×C4⋊C4×D43C2211yescharacteristic
62C22×(C2×D43)⋊C4C2211yescharacteristic
63C2×C22⋊C4×D43C2211yescharacteristic
64C2×C22⋊C4×D43C2211yescharacteristic
65C2×C22⋊C4×D43C2211yescharacteristic
66C2×C22⋊C4×D43C2211yescharacteristic
67#14582841C2211yescharacteristic, complemented
68#14582840C2211yescharacteristic, complemented
69#14582839C2211yescharacteristic, complemented
70#14582838C2211yescharacteristic, complemented
71#14582833C2211yescharacteristic, complemented
72#14582833C2211yescharacteristic, complemented
73#14582832C2211yescharacteristic, complemented
74#14582832C2211yescharacteristic, complemented
75#14582832C2211yescharacteristic, complemented
76#14582832C2211yescharacteristic, complemented
77#14582832C2211yescharacteristic, complemented
78#14582832C2211yescharacteristic, complemented
79#14582831C2211yescharacteristic, complemented
80#14582830C2211yescharacteristic, complemented
81#14582830C2211yescharacteristic, complemented
82#14582830C2211yescharacteristic, complemented
83#14582829C2211yescharacteristic, complemented
84#14582829C2211yescharacteristic, complemented
85#14582828C2211yescharacteristic, complemented
86#14582828C2211yescharacteristic, complemented
87#14582828C2211yescharacteristic, complemented
88#14582827C2211yescharacteristic, complemented
89#14582827C2211yescharacteristic, complemented
90#14582827C2211yescharacteristic, complemented
91#14582825C2211yescharacteristic, complemented
92#14582825C2211yescharacteristic, complemented
93#14582825C2211yescharacteristic, complemented
94#14582824C2211yescharacteristic, complemented
95#14582820C2211yescharacteristic, complemented
96#14582819C2211yescharacteristic, complemented
97#14582818C2211yescharacteristic, complemented
98#14582816C2211yescharacteristic
99#14582816C2211yescharacteristic
100#14582815C2211yescharacteristic
101#14582814C2211yescharacteristic
102#14582814C2211yescharacteristic
103#14582814C2211yescharacteristic
104#14582813C2211yescharacteristic
105#14582812C2211yescharacteristic, complemented
106#14582812C2211yescharacteristic, complemented
107#14582811C2211yescharacteristic, complemented
108#14582811C2211yescharacteristic, complemented
109#14582805C2211yescharacteristic, complemented
110#14582804C2211yescharacteristic, complemented
111#14582803C2211yescharacteristic, complemented
112#14582803C2211yescharacteristic, complemented
113#14582793C2211yescharacteristic, complemented
114#14582793C2211yescharacteristic, complemented
115#14582792C2211yescharacteristic, complemented
116#14582792C2211yescharacteristic, complemented
117#14582792C2211yescharacteristic, complemented
118#14582791C2211yescharacteristic, complemented
119#14582791C2211yescharacteristic, complemented
120#14582791C2211yescharacteristic, complemented
121#14582790C2211yescharacteristic, complemented
122#14582790C2211yescharacteristic, complemented
123#14582789C2211yescharacteristic, complemented
124#14582789C2211yescharacteristic, complemented
125#14582788C2211yescharacteristic, complemented
126#14582787C2211yescharacteristic, complemented
127#14582779C2211yescharacteristic
128#14582777C2211yescharacteristic
129#14582776C2211yescharacteristic
130#14582775C2211yescharacteristic
131#14582773C2211yescharacteristic
132#14582773C2211yescharacteristic
133#14582773C2211yescharacteristic, complemented
134#14582773C2211yescharacteristic, complemented
135#14582772C2211yescharacteristic, complemented
136#14582772C2211yescharacteristic, complemented
137#14582771C2211yescharacteristic, complemented
138#14582771C2211yescharacteristic, complemented
139#14582770C2211yescharacteristic
140#14582770C2211yescharacteristic
141#14582770C2211yescharacteristic
142#14582770C2211yescharacteristic
143#14582770C2211yescharacteristic
144#14582770C2211yescharacteristic
145#14582770C2211yescharacteristic, complemented
146#14582770C2211yescharacteristic, complemented
147#14582770C2211yescharacteristic, complemented
148#14582770C2211yescharacteristic, complemented
149#14582768C2211yescharacteristic, complemented
150#14582768C2211yescharacteristic, complemented
151#14582768C2211yescharacteristic, complemented
152#14582761C2211yescharacteristic
153#14582761C2211yescharacteristic
154#14582761C2211yescharacteristic
155#14582761C2211yescharacteristic
156#14582761C2211yescharacteristic, complemented
157#14582761C2211yescharacteristic, complemented
158#14582760C2211yescharacteristic, complemented
159#14582760C2211yescharacteristic, complemented
160#14582759C2211yescharacteristic, complemented
161#14582758C2211yescharacteristic
162#14582758C2211yescharacteristic, complemented
163#14582757C2211yescharacteristic, complemented
164#14582756C2211yescharacteristic
165#14582756C2211yescharacteristic, complemented
166#14582754C2211yescharacteristic
167#14582754C2211yescharacteristic
168#14582754C2211yescharacteristic
169#14582754C2211yescharacteristic
170#14582754C2211yescharacteristic
171#14582754C2211yescharacteristic
172C4×(C2×D43)⋊C4C2211yescharacteristic
173#14582746C2211yescharacteristic
174C2×#123×C43C2211yescharacteristic
175C2×#123×C43C2211yescharacteristic
176C2×C22⋊Q8×C43C2211yescharacteristic, complemented
177C2×C22⋊Q8×C43C2211yescharacteristic, complemented
178C43×#398C2211yescharacteristic, complemented
179C43×#398C2211yescharacteristic, complemented
180C43×#397C2211yescharacteristic, complemented
181C43×#397C2211yescharacteristic, complemented
182C43×#395C2211yescharacteristic, complemented
183C43×#394C2211yescharacteristic
184C43×#388C2211yescharacteristic, complemented
185C43×#388C2211yescharacteristic, complemented
186C43×#385C2211yescharacteristic, complemented
187C43×#385C2211yescharacteristic, complemented
188C43×#384C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C22×Dic86C2311yescharacteristic
193C22×Dic86C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C2×D4×D43—24no—
198C2×D4×D43—42no—
199C2×D4×D43—42no—
200C23×Dic43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C22×C4×D43—24no—
203C22×C4×D43—42no—
204C22×C4×D43—42no—
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214#13063310—24no—
215#13063310—24no—
216#13063310—42no—
217#13063309—24no—
218#13063308—24no—
219#13063308—42no—
220#13063307—24no—
221#13063307—24no—
222#13063307—42no—
223#13063306—24no—
224#13063305—24no—
225#13063305—24no—
226#13063304—24no—
227#13063303—24no—
228#13063303—24no—
229#13063303—24no—
230#13063303—24no—
231#13063303—42no—
232#13063302—24no—
233#13063302—24no—
234#13063302—42no—
235#13063301—24no—
236#13063301—24no—
237#13063301—42no—
238C2×C4⋊Dic43C2311yescharacteristic
239C2×C4⋊Dic43C2311yescharacteristic
240C2×C4⋊Dic43C2311yescharacteristic
241C2×C4⋊Dic43C2311yescharacteristic
242C2×C4⋊Dic43C2311yescharacteristic
243C2×C4⋊Dic43C2311yescharacteristic
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
250C2×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C4⋊C4×D43—24no—
267C4⋊C4×D43—24no—
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×(C2×D43)⋊C4—24no—
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C22⋊C4×D43—24no—
308C22⋊C4×D43—24no—
309C22⋊C4×D43—24no—
310C22⋊C4×D43D418yes—
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C22×Q8×C43C2311yescharacteristic
347C22×D4×C43C2311yescharacteristic
348C23×C4×C43C2311yescharacteristic
349C23×C4×C43C2311yescharacteristic
350#123×C43—24no—
351#123×C43—42no—
352C22⋊Q8×C43—24no—
353C22⋊Q8×C43—42no—
354C2×C4⋊C4×C43C2311yescharacteristic
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C4⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C42×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385C24×C43C2411yescharacteristic
386C24×C43C2411yescharacteristic
387C23×D43—22no—
388C23×D43—22no—
389C23×D43—22no—
390C23×D43—22no—
391C23×D43—22no—
392C23×D43—22no—
393C23×D43—22no—
394C23×D43—41no—
395C23×D43—41no—
396C23×D43—41no—
397C23×D43—41no—
398C23×D43—41no—
399C23×D43—41no—
400C23×D43C2×D414yes—
401C23×D43C2411yescharacteristic
402C23×D43C2411yescharacteristic
403C23×D43C2411yescharacteristic
404C2×Q8×C43—22no—
405C2×Q8×C43—41no—
406C2×Q8×C43—41no—
407C2×D4×C43—22no—
408C2×D4×C43—22no—
409C2×D4×C43—41no—
410C22×C4×C43—22no—
411C22×C4×C43—22no—
412C22×C4×C43—22no—
413C22×C4×C43—41no—
414C22×C4×C43—41no—
415C22×C4×C43—41no—
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C2×C22⋊D43—22no—
430C2×C22⋊D43—22no—
431C2×C22⋊D43—22no—
432C2×C22⋊D43—22no—
433C2×C22⋊D43—41no—
434C2×C22⋊D43—41no—
435C22×Dic43—22no—
436C22×Dic43—22no—
437C22×Dic43—22no—
438C22×Dic43—41no—
439C22×Dic43—41no—
440C22×Dic43—41no—
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C22×Dic43C2411yescharacteristic
444C22×Dic43C2411yescharacteristic
445C22×Dic43C2411yescharacteristic
446C22×Dic43C2411yescharacteristic
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454D4×D43—416no—
455C2×D172—22no—
456C2×D172—22no—
457C2×D172—41no—
458C2×C4×D43—22no—
459C2×C4×D43—22no—
460C2×C4×D43—22no—
461C2×C4×D43—22no—
462C2×C4×D43—22no—
463C2×C4×D43—22no—
464C2×C4×D43—22no—
465C2×C4×D43—22no—
466C2×C4×D43—22no—
467C2×C4×D43—22no—
468C2×C4×D43—22no—
469C2×C4×D43—41no—
470C2×C4×D43—41no—
471C2×C4×D43—41no—
472C2×C4×D43—41no—
473C2×C4×D43—41no—
474C2×C4×D43—41no—
475C2×C4×D43—41no—
476C2×C4×D43—41no—
477C2×C4×D43—41no—
478C2×C4×D43—41no—
479C2×C4×D43—416no—
480C2×C4×D43—41no—
481C2×C4×D43—41no—
482C2×C4×D43—41no—
483C2×C4×D43—41no—
484C2×C4×D43C2×D414yes—
485C2×C4×D43C2×D414yes—
486C2×Dic86—22no—
487C2×Dic86—22no—
488C2×Dic86—22no—
489C2×Dic86—41no—
490C2×Dic86—41no—
491C2×Dic86—41no—
492C2×Dic86—41no—
493C2×Dic86—41no—
494C2×Dic86—41no—
495C4⋊C4×C43—22no—
496C4⋊C4×C43—22no—
497C4⋊C4×C43—22no—
498C4⋊C4×C43—22no—
499C4⋊C4×C43—22no—
500C4⋊C4×C43—41no—
501C4⋊C4×C43—41no—
502C4⋊C4×C43—41no—
503C4⋊C4×C43—41no—
504C4⋊C4×C43—41no—
505C4⋊C4×C43—41no—
506C4⋊C4×C43—41no—
507C22⋊C4×C43—22no—
508C22⋊C4×C43—22no—
509C22⋊C4×C43—22no—
510C22⋊C4×C43—22no—
511C22⋊C4×C43—22no—
512C22⋊C4×C43—22no—
513C22⋊C4×C43—41no—
514C22⋊C4×C43—41no—
515C22⋊C4×C43—41no—
516C22⋊C4×C43C2×D414yes—
517C42×C43—41no—
518C22⋊Dic43—22no—
519C22⋊Dic43—22no—
520C22⋊Dic43—22no—
521C22⋊Dic43—22no—
522C22⋊Dic43—41no—
523C22⋊Dic43—41no—
524C22⋊Dic43—41no—
525C22⋊Dic43—41no—
526C22⋊Dic43—41no—
527C22⋊Dic43C2×D414yes—
528(C2×D43)⋊C4—22no—
529(C2×D43)⋊C4—22no—
530(C2×D43)⋊C4—22no—
531(C2×D43)⋊C4—22no—
532(C2×D43)⋊C4—22no—
533(C2×D43)⋊C4—22no—
534(C2×D43)⋊C4—22no—
535(C2×D43)⋊C4—22no—
536(C2×D43)⋊C4—22no—
537(C2×D43)⋊C4—22no—
538(C2×D43)⋊C4—22no—
539(C2×D43)⋊C4—22no—
540(C2×D43)⋊C4—22no—
541(C2×D43)⋊C4—22no—
542(C2×D43)⋊C4—22no—
543(C2×D43)⋊C4—22no—
544(C2×D43)⋊C4—22no—
545(C2×D43)⋊C4—22no—
546(C2×D43)⋊C4—41no—
547(C2×D43)⋊C4—41no—
548(C2×D43)⋊C4—41no—
549(C2×D43)⋊C4—41no—
550(C2×D43)⋊C4—41no—
551(C2×D43)⋊C4—41no—
552(C2×D43)⋊C4—41no—
553(C2×D43)⋊C4—41no—
554(C2×D43)⋊C4C2×D414yes—
555(C2×D43)⋊C4C2×D414yes—
556C4⋊Dic43—22no—
557C4⋊Dic43—22no—
558C4⋊Dic43—22no—
559C4⋊Dic43—22no—
560C4⋊Dic43—22no—
561C4⋊Dic43—41no—
562C4⋊Dic43—41no—
563C4⋊Dic43—41no—
564Dic43⋊C4—22no—
565Dic43⋊C4—22no—
566Dic43⋊C4—22no—
567Dic43⋊C4—22no—
568Dic43⋊C4—22no—
569Dic43⋊C4—22no—
570Dic43⋊C4—22no—
571Dic43⋊C4—22no—
572Dic43⋊C4—22no—
573Dic43⋊C4—22no—
574Dic43⋊C4—41no—
575Dic43⋊C4—41no—
576Dic43⋊C4—41no—
577Dic43⋊C4—41no—
578Dic43⋊C4—41no—
579Dic43⋊C4—41no—
580Dic43⋊C4—41no—
581Dic43⋊C4—41no—
582Dic43⋊C4—41no—
583Dic43⋊C4—41no—
584C4×Dic43—41no—
585C4×Dic43—41no—
586C4×Dic43—41no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43C22×D412yes—
600C23×C43H(5,𝔽2)12yes—
601C23×C43C2511yescharacteristic
602C22×D43—21no—
603C22×D43—21no—
604C22×D43—21no—
605C22×D43—21no—
606C22×D43—28no—
607C22×D43—21no—
608C22×D43—21no—
609C22×D43—21no—
610C22×D43—21no—
611C22×D43—21no—
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—28no—
620C22×D43—44no—
621C22×D43—44no—
622C22×D43—44no—
623C22×D43—44no—
624C22×D43—44no—
625C22×D43—44no—
626C22×D43—44no—
627C22×D43—44no—
628C22×D43—82no—
629C22×D43—82no—
630C22×D43—82no—
631C22×D43—82no—
632C22×D43C22×D412yes—
633C22×D43C22×D412yes—
634C22×D43H(5,𝔽2)12yes—
635C22×D432−1+412yes—
636C22×D432−1+412yes—
637Q8×C43—82no—
638D4×C43—44no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—44no—
677C2×C4×C43—82no—
678C2×C4×C43C22×D412yes—
679C2×C4×C43C22×D412yes—
680C22⋊D43—44no—
681C22⋊D43—44no—
682C2×Dic43—21no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—44no—
720C2×Dic43—82no—
721C2×Dic43C22×D412yes—
722C2×Dic43C22×D412yes—
723D172—44no—
724C4×D43—44no—
725C4×D43—44no—
726C4×D43—44no—
727C4×D43—44no—
728C4×D43—44no—
729C4×D43—44no—
730C4×D43—44no—
731C4×D43—82no—
732C4×D43—82no—
733Dic86—82no—
734Dic86—82no—
735Dic86—82no—
736#36720—431nomaximal, Sylow
737C22×C43—22no—
738C22×C43—22no—
739C22×C43—22no—
740C22×C43—22no—
741C22×C43—22no—
742C22×C43—22no—
743C22×C43—41no—
744C22×C43—41no—
745C22×C43—41no—
746C22×C43—41no—
747C22×C43—41no—
748C22×C43—41no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43C23×D411yescharacteristic
752C22×C43C2×H(5,𝔽2)11yescharacteristic
753C22×C43C2×H(5,𝔽2)11yescharacteristic
754C22×C43C2×2−1+411yescharacteristic
755C22×C43C2×2−1+411yescharacteristic
756C22×C43#58511yescharacteristic
757C22×C43#58511yescharacteristic
758C2×D43—22no—
759C2×D43—22no—
760C2×D43—22no—
761C2×D43—22no—
762C2×D43—22no—
763C2×D43—22no—
764C2×D43—22no—
765C2×D43—22no—
766C2×D43—22no—
767C2×D43—22no—
768C2×D43—22no—
769C2×D43—22no—
770C2×D43—416no—
771C2×D43—41no—
772C2×D43—41no—
773C2×D43—41no—
774C2×D43—41no—
775C2×D43—41no—
776C2×D43—41no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—88no—
780C2×D43#53614yes—
781C4×C43—22no—
782C4×C43—22no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43—41no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43—41no—
794Dic43—22no—
795Dic43—22no—
796Dic43—41no—
797Dic43—41no—
798Dic43—41no—
799Dic43—41no—
800Dic43—41no—
801Dic43—41no—
802Dic43—41no—
803Dic43—41no—
804Dic43—41no—
805Dic43—41no—
806Dic43—41no—
807C2×#543—431no—
808C22×#123—431no—
809#2848—431no—
810#2848—431no—
811#2687—431no—
812#2687—431no—
813#2687—431no—
814#2687—431no—
815#2687—431no—
816#2687—431no—
817#2687—431no—
818#2687—431no—
819#2680—431no—
820#2680—431no—
821#2680—431no—
822#2680—431no—
823#2680—431no—
824#2680—431no—
825#2680—431no—
826#2680D4311yescharacteristic, complemented
827#2627—431no—
828#2627—431no—
829#2561—431no—
830#2561—431no—
831#2502—431no—
832#2502—431no—
833#2483—431no—
834#2483—431no—
835#2405—431no—
836#2405—431no—
837#2312—431no—
838C2×C43—42no—
839C2×C43—42no—
840C2×C43C2×#53611yescharacteristic
841C2×C43#348411yescharacteristic
842C2×C43#348511yescharacteristic
843C2×C43#353511yescharacteristic
844C2×C43#353511yescharacteristic
845C2×C43#353511yescharacteristic
846C2×C43#353511yescharacteristic
847D43—24no—
848D43—42no—
849D43—42no—
850C23×D4—431no—
851C24×C4—431no—
852#543—868no—
853C2×#123—431no—
854C2×#123—431no—
855C2×#123—431no—
856C2×#123—431no—
857C2×#123—431no—
858C2×#123—431no—
859C2×#123—431no—
860C2×#123—431no—
861C2×#123—431no—
862C2×#123—431no—
863C2×#123—868no—
864C2×#123C2×D4311yescharacteristic
865C2×#123C2×D4311yescharacteristic
866C2×C22⋊Q8—431no—
867C2×C22⋊Q8—431no—
868C2×C22⋊Q8—431no—
869C2×C22⋊Q8—431no—
870C2×C22⋊Q8—431no—
871C2×C22⋊Q8—431no—
872C2×C22⋊Q8—431no—
873C2×C22⋊Q8—431no—
874C2×C22⋊Q8—431no—
875C2×C22⋊Q8—431no—
876C2×C22⋊Q8—431no—
877C2×C22⋊Q8—431no—
878C2×C22⋊Q8—431no—
879C2×C22⋊Q8—431no—
880C2×C22⋊Q8C2×D4311yescharacteristic, complemented
881C2×C22⋊Q8C2×D4311yescharacteristic, complemented
882C22×C4⋊C4—431no—
883C22×C4⋊C4—431no—
884C22×C22⋊C4—431no—
885C22×C22⋊C4—431no—
886C22×C22⋊C4—431no—
887C22×C22⋊C4—431no—
888C22×C22⋊C4—431no—
889#400—431no—
890#400—431no—
891#400—431no—
892#400—431no—
893#398—431no—
894#398—431no—
895#398—431no—
896#398—431no—
897#398—431no—
898#398—431no—
899#398—431no—
900#398—431no—
901#398—431no—
902#398—431no—
903#398—431no—
904#398—431no—
905#398—431no—
906#398—431no—
907#398C2×D4311yescharacteristic, complemented
908#398C2×D4311yescharacteristic, complemented
909#397—431no—
910#397—431no—
911#397—431no—
912#397—431no—
913#397—431no—
914#397—431no—
915#397—431no—
916#397—431no—
917#397—431no—
918#397—431no—
919#397C2×D4311yescharacteristic, complemented
920#397C2×D4311yescharacteristic, complemented
921#395—431no—
922#395—431no—
923#395—431no—
924#395C2×D4311yescharacteristic, complemented
925#394—431no—
926#394—431no—
927#394—431no—
928#394—431no—
929#394—431no—
930#394—431no—
931#394—431no—
932#394C2×D4311yescharacteristic
933#393—431no—
934#393—431no—
935#393—431no—
936#393—431no—
937#391—431no—
938#391—431no—
939#391—431no—
940#391—431no—
941#388—431no—
942#388—431no—
943#388—431no—
944#388—431no—
945#388—431no—
946#388—431no—
947#388—431no—
948#388—431no—
949#388—431no—
950#388—431no—
951#388—431no—
952#388—431no—
953#388—431no—
954#388—431no—
955#388C2×D4311yescharacteristic, complemented
956#388C2×D4311yescharacteristic, complemented
957#386—431no—
958#386—431no—
959#386—431no—
960#386—431no—
961#385—431no—
962#385—431no—
963#385—431no—
964#385—431no—
965#385—431no—
966#385—431no—
967#385—431no—
968#385—431no—
969#385—431no—
970#385—431no—
971#385—431no—
972#385—431no—
973#385—431no—
974#385—431no—
975#385—431no—
976#385—431no—
977#385—431no—
978#385—431no—
979#385C2×D4311yescharacteristic, complemented
980#385C2×D4311yescharacteristic, complemented
981#384—431no—
982#384—431no—
983#384—431no—
984#384C2×D4311yescharacteristic, complemented
985#381—431no—
986#381—431no—
987#381—431no—
988#381—431no—
989#381—431no—
990#381—431no—
991#381—431no—
992#381—431no—
993#380—431no—
994#380—431no—
995#380—431no—
996#380—431no—
997#380—431no—
998#380—431no—
999#379—431no—
1000#379—431no—
1001#379—431no—
1002#379—431no—
1003#379—431no—
1004#379—431no—
1005C4×C22⋊C4—431no—
1006C4×C22⋊C4—431no—
1007C43#3672011yescharacteristic, complemented, Sylow
1008C25—431no—
1009C25—431no—
1010C22×Q8—431no—
1011C22×Q8—431no—
1012C22×Q8—431no—
1013C22×Q8C22×D4311yescharacteristic
1014C22×D4—431no—
1015C22×D4—431no—
1016C22×D4—431no—
1017C22×D4—864no—
1018C22×D4—1722no—
1019C22×D4—1722no—
1020C22×D4C22×D4311yescharacteristic
1021C23×C4—431no—
1022C23×C4—431no—
1023C23×C4—431no—
1024C23×C4—431no—
1025C23×C4—431no—
1026C23×C4—431no—
1027C23×C4—431no—
1028C23×C4—431no—
1029C23×C4—431no—
1030C23×C4—431no—
1031C23×C4—431no—
1032C23×C4—864no—
1033C23×C4—1722no—
1034C23×C4—1722no—
1035C23×C4C22×D4311yescharacteristic
1036C23×C4C22×D4311yescharacteristic
1037#123—24no—
1038#123—42no—
1039#123—864no—
1040#123—864no—
1041#123—864no—
1042#123—864no—
1043#123—864no—
1044#123—864no—
1045#123—864no—
1046#123—1722no—
1047#123—1722no—
1048#123—1722no—
1049C22⋊Q8—24no—
1050C22⋊Q8—42no—
1051C22⋊Q8—864no—
1052C22⋊Q8—864no—
1053C22⋊Q8—864no—
1054C22⋊Q8—864no—
1055C22⋊Q8—864no—
1056C22⋊Q8—864no—
1057C22⋊Q8—864no—
1058C22⋊Q8—864no—
1059C22⋊Q8—864no—
1060C22⋊Q8—864no—
1061C22⋊Q8—864no—
1062C22⋊Q8—1722no—
1063C22⋊Q8—1722no—
1064C22⋊Q8—1722no—
1065C2×C4⋊C4—431no—
1066C2×C4⋊C4—431no—
1067C2×C4⋊C4—431no—
1068C2×C4⋊C4—431no—
1069C2×C4⋊C4—431no—
1070C2×C4⋊C4—431no—
1071C2×C4⋊C4—431no—
1072C2×C4⋊C4—431no—
1073C2×C4⋊C4—431no—
1074C2×C4⋊C4—431no—
1075C2×C4⋊C4—431no—
1076C2×C4⋊C4—431no—
1077C2×C4⋊C4—431no—
1078C2×C4⋊C4—431no—
1079C2×C4⋊C4—431no—
1080C2×C4⋊C4—431no—
1081C2×C4⋊C4—431no—
1082C2×C4⋊C4—431no—
1083C2×C4⋊C4—431no—
1084C2×C4⋊C4—431no—
1085C2×C4⋊C4—431no—
1086C2×C4⋊C4—431no—
1087C2×C4⋊C4—431no—
1088C2×C4⋊C4—431no—
1089C2×C4⋊C4—431no—
1090C2×C4⋊C4—431no—
1091C2×C4⋊C4—431no—
1092C2×C4⋊C4—431no—
1093C2×C4⋊C4—864no—
1094C2×C4⋊C4—864no—
1095C2×C4⋊C4C22×D4311yescharacteristic
1096C2×C4⋊C4C22×D4311yescharacteristic
1097C2×C4⋊C4C22×D4311yescharacteristic
1098C2×C4⋊C4C22×D4311yescharacteristic
1099C2×C4⋊C4C22×D4311yescharacteristic
1100C2×C4⋊C4C22×D4311yescharacteristic
1101C2×C4⋊C4C22×D4311yescharacteristic
1102C2×C4⋊C4C22×D4311yescharacteristic
1103C2×C4⋊C4C22×D4311yescharacteristic
1104C2×C4⋊C4C22×D4311yescharacteristic
1105C2×C4⋊C4C22×D4311yescharacteristic
1106C2×C4⋊C4C22×D4311yescharacteristic
1107C2×C22⋊C4—431no—
1108C2×C22⋊C4—431no—
1109C2×C22⋊C4—431no—
1110C2×C22⋊C4—438no—
1111C2×C22⋊C4—431no—
1112C2×C22⋊C4—431no—
1113C2×C22⋊C4—431no—
1114C2×C22⋊C4—431no—
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—431no—
1121C2×C22⋊C4—431no—
1122C2×C22⋊C4—431no—
1123C2×C22⋊C4—431no—
1124C2×C22⋊C4—431no—
1125C2×C22⋊C4—431no—
1126C2×C22⋊C4—431no—
1127C2×C22⋊C4—431no—
1128C2×C22⋊C4—431no—
1129C2×C22⋊C4—431no—
1130C2×C22⋊C4—431no—
1131C2×C22⋊C4—431no—
1132C2×C22⋊C4—431no—
1133C2×C22⋊C4—431no—
1134C2×C22⋊C4—431no—
1135C2×C22⋊C4—431no—
1136C2×C22⋊C4—431no—
1137C2×C22⋊C4—431no—
1138C2×C22⋊C4—431no—
1139C2×C22⋊C4—431no—
1140C2×C22⋊C4—431no—
1141C2×C22⋊C4—431no—
1142C2×C22⋊C4—431no—
1143C2×C22⋊C4—431no—
1144C2×C22⋊C4—431no—
1145C2×C22⋊C4—431no—
1146C2×C22⋊C4—864no—
1147C2×C22⋊C4—864no—
1148C2×C22⋊C4—864no—
1149C2×C22⋊C4—864no—
1150C2×C22⋊C4C22×D4311yescharacteristic
1151C2×C22⋊C4C22×D4311yescharacteristic
1152C2×C22⋊C4C22×D4311yescharacteristic
1153C2×C22⋊C4C22×D4311yescharacteristic
1154C2×C22⋊C4C22×D4311yescharacteristic
1155C2×C22⋊C4C22×D4311yescharacteristic
1156C2×C22⋊C4C22×D4311yescharacteristic
1157C2×C22⋊C4C22×D4311yescharacteristic
1158C2×C22⋊C4C22×D4311yescharacteristic
1159C2×C22⋊C4C22×D4311yescharacteristic
1160C2×C42—431no—
1161C2×C42—431no—
1162C2×C42—431no—
1163C2×C42C22×D4311yescharacteristic
1164#95—431no—
1165#95—431no—
1166#95—431no—
1167#95—431no—
1168#95—431no—
1169#95—431no—
1170#95—431no—
1171#95—431no—
1172#95—431no—
1173#95—431no—
1174#95—431no—
1175#95—431no—
1176#95—431no—
1177#95—431no—
1178#95—431no—
1179#95—431no—
1180#95—431no—
1181#95—431no—
1182#95—431no—
1183#95—431no—
1184#95—431no—
1185#95—431no—
1186#95—431no—
1187#95—431no—
1188#95—431no—
1189#95—431no—
1190#95—431no—
1191#95—431no—
1192#95—431no—
1193#95—431no—
1194#95—431no—
1195#95—431no—
1196#95C22×D4311yescharacteristic
1197#95C22×D4311yescharacteristic
1198#95C22×D4311yescharacteristic
1199#95C22×D4311yescharacteristic
1200#95C22×D4311yescharacteristic
1201#95C22×D4311yescharacteristic
1202#95C22×D4311yescharacteristic
1203#95C22×D4311yescharacteristic
1204C24—431no—
1205C24—431no—
1206C24—431no—
1207C24—434no—
1208C24—862no—
1209C24—862no—
1210C24—862no—
1211C24—862no—
1212C24—862no—
1213C24—862no—
1214C24—862no—
1215C24—1721no—
1216C24—1721no—
1217C24—1721no—
1218C24—1721no—
1219C24—1721no—
1220C24—1721no—
1221C24C23×D4311yescharacteristic
1222C24C23×D4311yescharacteristic
1223C2×Q8—22no—
1224C2×Q8—41no—
1225C2×Q8—41no—
1226C2×Q8—862no—
1227C2×Q8—862no—
1228C2×Q8—862no—
1229C2×Q8—1721no—
1230C2×Q8—1721no—
1231C2×Q8—1721no—
1232C2×Q8—1721no—
1233C2×Q8—1721no—
1234C2×Q8—1721no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—41no—
1238C2×D4—862no—
1239C2×D4—862no—
1240C2×D4—862no—
1241C2×D4—862no—
1242C2×D4—862no—
1243C2×D4—862no—
1244C2×D4—1721no—
1245C2×D4—1721no—
1246C2×D4—1721no—
1247C2×D4—17216no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—431no—
1255C22×C4—431no—
1256C22×C4—434no—
1257C22×C4—434no—
1258C22×C4—431no—
1259C22×C4—431no—
1260C22×C4—431no—
1261C22×C4—431no—
1262C22×C4—431no—
1263C22×C4—431no—
1264C22×C4—431no—
1265C22×C4—431no—
1266C22×C4—431no—
1267C22×C4—431no—
1268C22×C4—431no—
1269C22×C4—862no—
1270C22×C4—862no—
1271C22×C4—862no—
1272C22×C4—862no—
1273C22×C4—862no—
1274C22×C4—862no—
1275C22×C4—862no—
1276C22×C4—862no—
1277C22×C4—862no—
1278C22×C4—862no—
1279C22×C4—862no—
1280C22×C4—862no—
1281C22×C4—862no—
1282C22×C4—862no—
1283C22×C4—1721no—
1284C22×C4—1721no—
1285C22×C4—1721no—
1286C22×C4—1721no—
1287C22×C4—1721no—
1288C22×C4—1721no—
1289C22×C4—1721no—
1290C22×C4—1721no—
1291C22×C4—1721no—
1292C22×C4—1721no—
1293C22×C4—1721no—
1294C22×C4—1721no—
1295C22×C4—1721no—
1296C22×C4—1721no—
1297C22×C4—17216no—
1298C22×C4—1721no—
1299C22×C4—1721no—
1300C22×C4—1721no—
1301C22×C4C23×D4311yescharacteristic
1302C22×C4C23×D4311yescharacteristic
1303C22×C4C23×D4311yescharacteristic
1304C22×C4C23×D4311yescharacteristic
1305C22×C4C23×D4311yescharacteristic
1306C22×C4C23×D4311yescharacteristic
1307C22×C4C23×D4311yescharacteristic
1308C22×C4C23×D4311yescharacteristic
1309C22×C4C23×D4311yescharacteristic
1310C22×C4C23×D4311yescharacteristic
1311C22×C4C23×D4311yescharacteristic
1312C22×C4C23×D4311yescharacteristic
1313C22×C4C23×D4311yescharacteristic
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—862no—
1327C4⋊C4—862no—
1328C4⋊C4—862no—
1329C4⋊C4—862no—
1330C4⋊C4—862no—
1331C4⋊C4—862no—
1332C4⋊C4—862no—
1333C4⋊C4—862no—
1334C4⋊C4—862no—
1335C4⋊C4—862no—
1336C4⋊C4—862no—
1337C4⋊C4—862no—
1338C4⋊C4—862no—
1339C4⋊C4—862no—
1340C4⋊C4—862no—
1341C4⋊C4—1721no—
1342C4⋊C4—1721no—
1343C4⋊C4—1721no—
1344C4⋊C4—1721no—
1345C4⋊C4—1721no—
1346C4⋊C4—1721no—
1347C4⋊C4—1721no—
1348C4⋊C4—1721no—
1349C4⋊C4—1721no—
1350C4⋊C4—1721no—
1351C4⋊C4—1721no—
1352C4⋊C4—1721no—
1353C4⋊C4—1721no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—434no—
1364C22⋊C4—434no—
1365C22⋊C4—434no—
1366C22⋊C4—862no—
1367C22⋊C4—862no—
1368C22⋊C4—862no—
1369C22⋊C4—862no—
1370C22⋊C4—862no—
1371C22⋊C4—862no—
1372C22⋊C4—862no—
1373C22⋊C4—862no—
1374C22⋊C4—862no—
1375C22⋊C4—862no—
1376C22⋊C4—862no—
1377C22⋊C4—862no—
1378C22⋊C4—862no—
1379C22⋊C4—862no—
1380C22⋊C4—862no—
1381C22⋊C4—862no—
1382C22⋊C4—862no—
1383C22⋊C4—862no—
1384C22⋊C4—862no—
1385C22⋊C4—862no—
1386C22⋊C4—862no—
1387C22⋊C4—862no—
1388C22⋊C4—1721no—
1389C22⋊C4—1721no—
1390C22⋊C4—1721no—
1391C22⋊C4—1721no—
1392C22⋊C4—1721no—
1393C22⋊C4—1721no—
1394C22⋊C4—1721no—
1395C22⋊C4—1721no—
1396C22⋊C4—1721no—
1397C22⋊C4—1721no—
1398C22⋊C4—1721no—
1399C22⋊C4—1721no—
1400C22⋊C4—1721no—
1401C22⋊C4D4×D4314yes—
1402C42—41no—
1403C42—1721no—
1404C42—1721no—
1405C42—1721no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—432no—
1419C23—432no—
1420C23—432no—
1421C23—432no—
1422C23—432no—
1423C23—868no—
1424C23—868no—
1425C23—861no—
1426C23—861no—
1427C23—861no—
1428C23—861no—
1429C23—861no—
1430C23—861no—
1431C23—861no—
1432C23—861no—
1433C23—861no—
1434C23—861no—
1435C23—861no—
1436C23—861no—
1437C23—861no—
1438C23—861no—
1439C23—861no—
1440C23—861no—
1441C23—3442no—
1442C23—3442no—
1443C23—3442no—
1444C23—3442no—
1445C23—1724no—
1446C23—1724no—
1447C23—1724no—
1448C23—1724no—
1449C23—1724no—
1450C23—1724no—
1451C23—1724no—
1452C23—1724no—
1453C23C2×D4×D4312yes—
1454C23#1306337012yes—
1455C23C24×D4311yescharacteristic
1456Q8—82no—
1457Q8—3442no—
1458Q8—3442no—
1459Q8—3442no—
1460D4—44no—
1461D4—1724no—
1462D4—1724no—
1463D4—1724no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—44no—
1502C2×C4—82no—
1503C2×C4—432no—
1504C2×C4—432no—
1505C2×C4—861no—
1506C2×C4—861no—
1507C2×C4—861no—
1508C2×C4—861no—
1509C2×C4—861no—
1510C2×C4—861no—
1511C2×C4—861no—
1512C2×C4—861no—
1513C2×C4—861no—
1514C2×C4—861no—
1515C2×C4—861no—
1516C2×C4—861no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—861no—
1523C2×C4—861no—
1524C2×C4—861no—
1525C2×C4—861no—
1526C2×C4—861no—
1527C2×C4—861no—
1528C2×C4—861no—
1529C2×C4—861no—
1530C2×C4—861no—
1531C2×C4—861no—
1532C2×C4—861no—
1533C2×C4—861no—
1534C2×C4—861no—
1535C2×C4—861no—
1536C2×C4—861no—
1537C2×C4—861no—
1538C2×C4—861no—
1539C2×C4—861no—
1540C2×C4—861no—
1541C2×C4—861no—
1542C2×C4—3442no—
1543C2×C4—3442no—
1544C2×C4—3442no—
1545C2×C4—1724no—
1546C2×C4—1724no—
1547C2×C4—1724no—
1548C2×C4—1724no—
1549C2×C4—1724no—
1550C2×C4—1724no—
1551C2×C4—1724no—
1552C2×C4—1724no—
1553C2×C4C2×D4×D4312yes—
1554C2×C4C2×D4×D4312yes—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—434no—
1570C22—862no—
1571C22—862no—
1572C22—862no—
1573C22—862no—
1574C22—862no—
1575C22—862no—
1576C22—862no—
1577C22—862no—
1578C22—862no—
1579C22—862no—
1580C22—862no—
1581C22—862no—
1582C22—3448no—
1583C22—17216no—
1584C22—1721no—
1585C22—1721no—
1586C22—1721no—
1587C22—1721no—
1588C22—1721no—
1589C22—1721no—
1590C22—1721no—
1591C22—1721no—
1592C22C22×D4×D4311yescharacteristic
1593C22H(5,𝔽2)×D4311yescharacteristic
1594C22C2×#1306337011yescharacteristic
1595C222−1+4×D4311yescharacteristic
1596C222−1+4×D4311yescharacteristic
1597C22#1458373511yescharacteristic
1598C22#1458373611yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—862no—
1613C4—862no—
1614C4—1721no—
1615C4—1721no—
1616C4—1721no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C4—1721no—
1621C4—1721no—
1622C4—1721no—
1623C4—1721no—
1624C4—1721no—
1625C2—42no—
1626C2—42no—
1627C2—864no—
1628C2—1722no—
1629C2—1722no—
1630C2#536×D4311yescharacteristic
1631C2#1914822311yescharacteristic
1632C2#1914823411yescharacteristic
1633C2#1914879411yescharacteristic
1634C2#1914879611yescharacteristic
1635C2#1914880311yescharacteristic
1636C2#1914880611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2680C2
prime radicalC22×D4×D43C22
hypercenter#2680D43
hypocenterC43#36720
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2680

Complements

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

NH ≅ G/Ntype
1. C2×#14583524C2semidirect
3. #19142881C2semidirect
4. #19142879C2semidirect
5. #19141023C2semidirect
6. #19141022C2semidirect
7. #19141019C2semidirect
8. #19141018C2semidirect
9. #19141014C2semidirect
10. #19141013C2semidirect
11. #19141010C2semidirect
12. #19141009C2semidirect
13. #19140939C2semidirect
14. #19140937C2semidirect
15. #19140935C2semidirect
16. #19140934C2semidirect
17. #19140934C2semidirect
18. #19140932C2semidirect
19. #19140931C2semidirect
20. #19140413C2semidirect
21. #19140407C2semidirect
22. #19139751C2semidirect
23. #19139747C2semidirect
24. #19139070C2semidirect
25. #19139068C2semidirect
26. #19138875C2semidirect
27. #19138872C2semidirect
30. #19137189C2semidirect
31. C43×#2680C2semidirect
47. C2×#13063305C22semidirect
48. C2×#13063304C22semidirect
51. C2×#13063303C22semidirect
52. C2×#13063303C22semidirect
53. C2×#13063303C22semidirect
54. C2×#13063302C22semidirect
55. C2×#13063302C22semidirect
56. C2×#13063302C22semidirect
58. C2×#13063301C22semidirect
59. C2×#13063301C22semidirect
67. #14582841C22semidirect
68. #14582840C22semidirect
69. #14582839C22semidirect
70. #14582838C22semidirect
71. #14582833C22semidirect
72. #14582833C22semidirect
73. #14582832C22semidirect
74. #14582832C22semidirect
75. #14582832C22semidirect
76. #14582832C22semidirect
77. #14582832C22semidirect
78. #14582832C22semidirect
79. #14582831C22semidirect
80. #14582830C22semidirect
81. #14582830C22semidirect
82. #14582830C22semidirect
83. #14582829C22semidirect
84. #14582829C22semidirect
85. #14582828C22semidirect
86. #14582828C22semidirect
87. #14582828C22semidirect
88. #14582827C22semidirect
89. #14582827C22semidirect
90. #14582827C22semidirect
91. #14582825C22semidirect
92. #14582825C22semidirect
93. #14582825C22semidirect
94. #14582824C22semidirect
95. #14582820C22semidirect
96. #14582819C22semidirect
97. #14582818C22semidirect
105. #14582812C22semidirect
106. #14582812C22semidirect
107. #14582811C22semidirect
108. #14582811C22semidirect
109. #14582805C22semidirect
110. #14582804C22semidirect
111. #14582803C22semidirect
112. #14582803C22semidirect
113. #14582793C22semidirect
114. #14582793C22semidirect
115. #14582792C22semidirect
116. #14582792C22semidirect
117. #14582792C22semidirect
118. #14582791C22semidirect
119. #14582791C22semidirect
120. #14582791C22semidirect
121. #14582790C22semidirect
122. #14582790C22semidirect
123. #14582789C22semidirect
124. #14582789C22semidirect
125. #14582788C22semidirect
126. #14582787C22semidirect
133. #14582773C22semidirect
134. #14582773C22semidirect
135. #14582772C22semidirect
136. #14582772C22semidirect
137. #14582771C22semidirect
138. #14582771C22semidirect
145. #14582770C22semidirect
146. #14582770C22semidirect
147. #14582770C22semidirect
148. #14582770C22semidirect
149. #14582768C22semidirect
150. #14582768C22semidirect
151. #14582768C22semidirect
156. #14582761C22semidirect
157. #14582761C22semidirect
158. #14582760C22semidirect
159. #14582760C22semidirect
160. #14582759C22semidirect
162. #14582758C22semidirect
163. #14582757C22semidirect
165. #14582756C22semidirect
176. C2×C22⋊Q8×C43C22semidirect
177. C2×C22⋊Q8×C43C22semidirect
178. C43×#398C22semidirect
179. C43×#398C22semidirect
180. C43×#397C22semidirect
181. C43×#397C22semidirect
182. C43×#395C22semidirect
184. C43×#388C22semidirect
185. C43×#388C22semidirect
186. C43×#385C22semidirect
187. C43×#385C22semidirect
188. C43×#384C22semidirect
826. #2680D43semidirect
880. C2×C22⋊Q8C2×D43semidirect
881. C2×C22⋊Q8C2×D43semidirect
907. #398C2×D43semidirect
908. #398C2×D43semidirect
919. #397C2×D43semidirect
920. #397C2×D43semidirect
924. #395C2×D43semidirect
955. #388C2×D43semidirect
956. #388C2×D43semidirect
979. #385C2×D43semidirect
980. #385C2×D43semidirect
984. #384C2×D43semidirect
1007. C43#36720semidirect

Maximal subgroups

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

subgroupindex
C2×#145835242
C2×#123×D432
#191428812
#191428792
#191410232
#191410222
#191410192
#191410182
#191410142
#191410132
#191410102
#191410092
#191409392
#191409372
#191409352
#191409342
#191409322
#191409312
#191404132
#191404072
#191397512
#191397472
#191390702
#191390682
#191388752
#191388722
#191379192
#191379172
#191371892
C43×#26802
#3672043