Finite Group Databasebeta

← #25303547

Subgroups — #25303547

Order 11008.

2406 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583481C211yesmaximal, characteristic
2C2×C22⋊Q8×D43C211yesmaximal, characteristic, complemented
3#19142886C211yesmaximal, characteristic, complemented
4#19142884C211yesmaximal, characteristic, complemented
5#19141200C211yesmaximal, characteristic, complemented
6#19141199C211yesmaximal, characteristic, complemented
7#19141198C211yesmaximal, characteristic, complemented
8#19141197C211yesmaximal, characteristic, complemented
9#19141167C211yesmaximal, characteristic, complemented
10#19141165C211yesmaximal, characteristic, complemented
11#19141164C211yesmaximal, characteristic, complemented
12#19141162C211yesmaximal, characteristic, complemented
13#19140946C211yesmaximal, characteristic, complemented
14#19140944C211yesmaximal, characteristic, complemented
15#19140941C211yesmaximal, characteristic, complemented
16#19140938C211yesmaximal, characteristic, complemented
17#19140937C211yesmaximal, characteristic, complemented
18#19140934C211yesmaximal, characteristic, complemented
19#19140932C211yesmaximal, characteristic, complemented
20#19140367C211yesmaximal, characteristic, complemented
21#19140367C211yesmaximal, characteristic, complemented
22#19140069C211yesmaximal, characteristic, complemented
23#19139973C211yesmaximal, characteristic, complemented
24#19139940C211yesmaximal, characteristic, complemented
25#19139937C211yesmaximal, characteristic, complemented
26#19139086C211yesmaximal, characteristic, complemented
27#19139068C211yesmaximal, characteristic, complemented
28#19137956C211yesmaximal, characteristic, complemented
29#19137953C211yesmaximal, characteristic, complemented
30#19137189C211yesmaximal, characteristic, complemented
31C43×#2681C211yesmaximal, characteristic, complemented
32C22×Q8×D43C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34#14583481—28no—
35C2×#13063320C2211yescharacteristic
36C2×#13063318C2211yescharacteristic
37C2×#13063312C2211yescharacteristic
38C2×#13063311C2211yescharacteristic
39C2×#13063308C2211yescharacteristic
40C2×#13063307C2211yescharacteristic
41C2×#13063307C2211yescharacteristic
42C2×#13063306C2211yescharacteristic
43C2×#13063306C2211yescharacteristic
44C2×#13063305C2211yescharacteristic
45C2×#13063304C2211yescharacteristic
46C2×#13063304C2211yescharacteristic, complemented
47C2×#13063303C2211yescharacteristic
48C2×#13063303C2211yescharacteristic
49C2×#13063303C2211yescharacteristic
50C2×#13063302C2211yescharacteristic
51C2×#13063302C2211yescharacteristic
52C2×#13063302C2211yescharacteristic, complemented
53C2×#13063302C2211yescharacteristic, complemented
54C2×#13063301C2211yescharacteristic
55C22⋊Q8×D43—28no—
56C2×#13063297C2211yescharacteristic
57C2×#13063296C2211yescharacteristic
58C2×#13063293C2211yescharacteristic
59C2×#13063293C2211yescharacteristic
60C2×C4×C22⋊D43C2211yescharacteristic
61C2×(C22⋊D43)⋊C4C2211yescharacteristic
62C2×C4⋊C4×D43C2211yescharacteristic
63C2×C4⋊C4×D43C2211yescharacteristic
64C2×C4⋊C4×D43C2211yescharacteristic
65C2×C22⋊C4×D43C2211yescharacteristic
66C2×C22⋊C4×D43C2211yescharacteristic
67#14582839C2211yescharacteristic, complemented
68#14582838C2211yescharacteristic, complemented
69#14582833C2211yescharacteristic, complemented
70#14582833C2211yescharacteristic, complemented
71#14582832C2211yescharacteristic, complemented
72#14582832C2211yescharacteristic, complemented
73#14582831C2211yescharacteristic, complemented
74#14582830C2211yescharacteristic, complemented
75#14582830C2211yescharacteristic, complemented
76#14582829C2211yescharacteristic, complemented
77#14582829C2211yescharacteristic, complemented
78#14582828C2211yescharacteristic
79#14582828C2211yescharacteristic
80#14582827C2211yescharacteristic
81#14582827C2211yescharacteristic
82#14582827C2211yescharacteristic, complemented
83#14582827C2211yescharacteristic, complemented
84#14582827C2211yescharacteristic, complemented
85#14582827C2211yescharacteristic, complemented
86#14582825C2211yescharacteristic
87#14582825C2211yescharacteristic
88#14582824C2211yescharacteristic
89#14582824C2211yescharacteristic
90#14582822C2211yescharacteristic, complemented
91#14582822C2211yescharacteristic, complemented
92#14582822C2211yescharacteristic, complemented
93#14582820C2211yescharacteristic, complemented
94#14582820C2211yescharacteristic, complemented
95#14582819C2211yescharacteristic, complemented
96#14582819C2211yescharacteristic, complemented
97#14582819C2211yescharacteristic, complemented
98#14582818C2211yescharacteristic, complemented
99#14582815C2211yescharacteristic
100#14582815C2211yescharacteristic
101#14582814C2211yescharacteristic
102#14582814C2211yescharacteristic
103#14582813C2211yescharacteristic
104#14582813C2211yescharacteristic
105#14582813C2211yescharacteristic, complemented
106#14582811C2211yescharacteristic, complemented
107#14582811C2211yescharacteristic, complemented
108#14582811C2211yescharacteristic, complemented
109#14582806C2211yescharacteristic, complemented
110#14582804C2211yescharacteristic, complemented
111#14582803C2211yescharacteristic, complemented
112#14582803C2211yescharacteristic, complemented
113#14582803C2211yescharacteristic, complemented
114#14582803C2211yescharacteristic, complemented
115#14582802C2211yescharacteristic, complemented
116#14582797C2211yescharacteristic, complemented
117#14582794C2211yescharacteristic, complemented
118#14582794C2211yescharacteristic, complemented
119#14582793C2211yescharacteristic
120#14582792C2211yescharacteristic
121#14582792C2211yescharacteristic, complemented
122#14582792C2211yescharacteristic, complemented
123#14582791C2211yescharacteristic
124#14582790C2211yescharacteristic
125#14582789C2211yescharacteristic
126#14582788C2211yescharacteristic
127#14582787C2211yescharacteristic
128#14582787C2211yescharacteristic, complemented
129#14582787C2211yescharacteristic, complemented
130#14582785C2211yescharacteristic, complemented
131#14582784C2211yescharacteristic, complemented
132#14582781C2211yescharacteristic, complemented
133#14582780C2211yescharacteristic, complemented
134#14582779C2211yescharacteristic
135#14582775C2211yescharacteristic
136#14582775C2211yescharacteristic
137#14582775C2211yescharacteristic
138#14582775C2211yescharacteristic
139#14582775C2211yescharacteristic
140#14582775C2211yescharacteristic
141#14582775C2211yescharacteristic
142#14582775C2211yescharacteristic
143#14582775C2211yescharacteristic
144#14582775C2211yescharacteristic
145#14582774C2211yescharacteristic
146#14582774C2211yescharacteristic, complemented
147#14582773C2211yescharacteristic
148#14582773C2211yescharacteristic
149#14582773C2211yescharacteristic
150#14582773C2211yescharacteristic
151#14582772C2211yescharacteristic
152#14582772C2211yescharacteristic, complemented
153#14582771C2211yescharacteristic, complemented
154#14582770C2211yescharacteristic
155#14582770C2211yescharacteristic
156#14582770C2211yescharacteristic
157#14582770C2211yescharacteristic
158#14582770C2211yescharacteristic
159#14582770C2211yescharacteristic
160#14582768C2211yescharacteristic, complemented
161#14582768C2211yescharacteristic, complemented
162#14582765C2211yescharacteristic, complemented
163#14582764C2211yescharacteristic, complemented
164#14582762C2211yescharacteristic
165#14582761C2211yescharacteristic
166#14582761C2211yescharacteristic
167#14582760C2211yescharacteristic
168#14582758C2211yescharacteristic
169#14582756C2211yescharacteristic
170#14582754C2211yescharacteristic
171#14582754C2211yescharacteristic
172C4×(C2×D43)⋊C4C2211yescharacteristic
173#14582746C2211yescharacteristic
174C2×#123×C43C2211yescharacteristic
175C2×C22⋊Q8×C43C2211yescharacteristic
176C2×C22⋊Q8×C43C2211yescharacteristic, complemented
177C2×#121×C43C2211yescharacteristic
178C43×#398C2211yescharacteristic, complemented
179C43×#396C2211yescharacteristic, complemented
180C43×#394C2211yescharacteristic
181C43×#394C2211yescharacteristic
182C43×#394C2211yescharacteristic, complemented
183C43×#393C2211yescharacteristic, complemented
184C43×#390C2211yescharacteristic, complemented
185C43×#389C2211yescharacteristic, complemented
186C43×#388C2211yescharacteristic
187C43×#386C2211yescharacteristic
188C43×#385C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C22×Dic86C2311yescharacteristic
193C22×Dic86C2311yescharacteristic
194C2×Q8×D43—24no—
195C2×Q8×D43—42no—
196C2×Q8×D43—42no—
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C22×C4×D43—24no—
204C22×C4×D43—42no—
205C22×C4×D43—42no—
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#13063320—24no—
215#13063318—24no—
216#13063312—24no—
217#13063311—24no—
218#13063308—24no—
219#13063307—42no—
220#13063307—42no—
221#13063306—24no—
222#13063306—42no—
223#13063305—24no—
224#13063304—24no—
225#13063304—42no—
226#13063303—24no—
227#13063303—24no—
228#13063303—24no—
229#13063302—24no—
230#13063302—24no—
231#13063302—42no—
232#13063302—42no—
233#13063301—24no—
234#13063297—24no—
235#13063296—24no—
236#13063293—24no—
237#13063293—24no—
238C4×C22⋊D43—24no—
239(C22⋊D43)⋊C4—24no—
240C2×C4⋊Dic43C2311yescharacteristic
241C2×C4⋊Dic43C2311yescharacteristic
242C2×C4⋊Dic43C2311yescharacteristic
243C2×C4⋊Dic43C2311yescharacteristic
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×C4⋊Dic43C2311yescharacteristic
247C2×C4⋊Dic43C2311yescharacteristic
248C2×C4⋊Dic43C2311yescharacteristic
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
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×Dic43⋊C4C2311yescharacteristic
269C4⋊C4×D43—24no—
270C4⋊C4×D43—24no—
271C4⋊C4×D43—24no—
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×C22⋊Dic43C2311yescharacteristic
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
305C22⋊C4×D43—24no—
306C22⋊C4×D43D418yes—
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
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
348C22×D4×C43C2311yescharacteristic
349C22×D4×C43C2311yescharacteristic
350C23×C4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352#123×C43—42no—
353C22⋊Q8×C43—24no—
354C22⋊Q8×C43—42no—
355#121×C43—24no—
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×C22⋊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×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C42×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385C24×C43C2411yescharacteristic
386C24×C43C2411yescharacteristic
387C24×C43C2411yescharacteristic
388C23×D43—22no—
389C23×D43—22no—
390C23×D43—41no—
391C23×D43—41no—
392C23×D43—41no—
393C23×D43—41no—
394C23×D43C2×D414yes—
395C23×D43C2411yescharacteristic
396C23×D43C2411yescharacteristic
397C2×Q8×C43—22no—
398C2×Q8×C43—22no—
399C2×Q8×C43—41no—
400C2×D4×C43—22no—
401C2×D4×C43—22no—
402C2×D4×C43—22no—
403C2×D4×C43—41no—
404C2×D4×C43—41no—
405C2×D4×C43—41no—
406C2×D4×C43—41no—
407C2×D4×C43—41no—
408C2×D4×C43—41no—
409C22×C4×C43—22no—
410C22×C4×C43—22no—
411C22×C4×C43—22no—
412C22×C4×C43—41no—
413C22×C4×C43—41no—
414C22×C4×C43—41no—
415C22×C4×C43C2411yescharacteristic
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
427C2×C22⋊D43—22no—
428C2×C22⋊D43—22no—
429C2×C22⋊D43—22no—
430C2×C22⋊D43—22no—
431C2×C22⋊D43—22no—
432C2×C22⋊D43—22no—
433C2×C22⋊D43—22no—
434C2×C22⋊D43—22no—
435C2×C22⋊D43—41no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
438C2×C22⋊D43—41no—
439C22×Dic43—22no—
440C22×Dic43—22no—
441C22×Dic43—22no—
442C22×Dic43—41no—
443C22×Dic43—41no—
444C22×Dic43—41no—
445C22×Dic43C2411yescharacteristic
446C22×Dic43C2411yescharacteristic
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459Q8×D43—416no—
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—22no—
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—41no—
480C2×C4×D43—41no—
481C2×C4×D43—41no—
482C2×C4×D43—416no—
483C2×C4×D43C2×D414yes—
484C2×C4×D43C2×D414yes—
485C2×Dic86—22no—
486C2×Dic86—22no—
487C2×Dic86—22no—
488C2×Dic86—22no—
489C2×Dic86—22no—
490C2×Dic86—22no—
491C2×Dic86—22no—
492C2×Dic86—41no—
493C2×Dic86—41no—
494C2×Dic86—41no—
495C2×Dic86—41no—
496C2×Dic86—41no—
497C4⋊C4×C43—22no—
498C4⋊C4×C43—22no—
499C4⋊C4×C43—22no—
500C4⋊C4×C43—22no—
501C4⋊C4×C43—22no—
502C4⋊C4×C43—41no—
503C4⋊C4×C43—41no—
504C4⋊C4×C43—41no—
505C4⋊C4×C43—41no—
506C22⋊C4×C43—22no—
507C22⋊C4×C43—22no—
508C22⋊C4×C43—22no—
509C22⋊C4×C43—22no—
510C22⋊C4×C43—41no—
511C22⋊C4×C43—41no—
512C22⋊C4×C43—41no—
513C22⋊C4×C43—41no—
514C22⋊C4×C43—41no—
515C22⋊C4×C43—41no—
516C22⋊C4×C43—41no—
517C22⋊C4×C43—41no—
518C22⋊C4×C43C2×D414yes—
519C42×C43—41no—
520C22⋊Dic43—22no—
521C22⋊Dic43—22no—
522C22⋊Dic43—22no—
523C22⋊Dic43—22no—
524C22⋊Dic43—22no—
525C22⋊Dic43—22no—
526C22⋊Dic43—22no—
527C22⋊Dic43—22no—
528C22⋊Dic43—41no—
529C22⋊Dic43—41no—
530C22⋊Dic43—41no—
531C22⋊Dic43—41no—
532C22⋊Dic43—41no—
533C22⋊Dic43—41no—
534C22⋊Dic43—41no—
535C22⋊Dic43—41no—
536C22⋊Dic43C2×D414yes—
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—22no—
547(C2×D43)⋊C4—41no—
548(C2×D43)⋊C4—41no—
549(C2×D43)⋊C4—41no—
550(C2×D43)⋊C4—41no—
551(C2×D43)⋊C4C2×D414yes—
552(C2×D43)⋊C4C2×D414yes—
553C4⋊Dic43—22no—
554C4⋊Dic43—22no—
555C4⋊Dic43—22no—
556C4⋊Dic43—22no—
557C4⋊Dic43—22no—
558C4⋊Dic43—41no—
559C4⋊Dic43—41no—
560C4⋊Dic43—41no—
561C4⋊Dic43—41no—
562Dic43⋊C4—22no—
563Dic43⋊C4—22no—
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—
582C4×Dic43—22no—
583C4×Dic43—22no—
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×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43—21no—
606C23×C43—21no—
607C23×C43C22×D412yes—
608C23×C43C2511yescharacteristic
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×D43C22×D412yes—
627C22×D43C22×D412yes—
628C22×D432−1+412yes—
629C22×D432−1+412yes—
630Q8×C43—44no—
631D4×C43—82no—
632D4×C43—82no—
633D4×C43—82no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
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—44no—
668C2×C4×C43—82no—
669C2×C4×C43C22×D412yes—
670C2×C4×C43C22×D412yes—
671C2×C4×C43H(5,𝔽2)12yes—
672C22⋊D43—44no—
673C22⋊D43—44no—
674C22⋊D43—82no—
675C22⋊D43—82no—
676C2×Dic43—21no—
677C2×Dic43—21no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
681C2×Dic43—21no—
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—44no—
716C2×Dic43—82no—
717C2×Dic43C22×D412yes—
718C2×Dic43C22×D412yes—
719C2×Dic43H(5,𝔽2)12yes—
720C4×D43—28no—
721C4×D43—44no—
722C4×D43—44no—
723C4×D43—44no—
724C4×D43—44no—
725C4×D43—44no—
726C4×D43—44no—
727C4×D43—44no—
728Dic86—44no—
729Dic86—44no—
730Dic86—44no—
731Dic86—82no—
732#36716—431nomaximal, Sylow
733C22×C43—22no—
734C22×C43—22no—
735C22×C43—22no—
736C22×C43—41no—
737C22×C43—41no—
738C22×C43—41no—
739C22×C43—41no—
740C22×C43—41no—
741C22×C43—41no—
742C22×C43—41no—
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×C43—41no—
752C22×C43—41no—
753C22×C43—41no—
754C22×C43C23×D411yescharacteristic
755C22×C43C2×H(5,𝔽2)11yescharacteristic
756C22×C43C2×H(5,𝔽2)11yescharacteristic
757C22×C43C2×2−1+411yescharacteristic
758C22×C43C2×2−1+411yescharacteristic
759C22×C43#58511yescharacteristic
760C22×C43#58511yescharacteristic
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#53614yes—
776C4×C43—22no—
777C4×C43—22no—
778C4×C43—22no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43—41no—
787C4×C43—41no—
788Dic43—22no—
789Dic43—22no—
790Dic43—22no—
791Dic43—41no—
792Dic43—41no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43—41no—
799Dic43—41no—
800Dic43—41no—
801Dic43—41no—
802C2×#538—431no—
803C22×C22⋊Q8—431no—
804#2849—431no—
805#2849—431no—
806#2700—431no—
807#2700—431no—
808#2700—431no—
809#2700—431no—
810#2698—431no—
811#2698—431no—
812#2698—431no—
813#2698—431no—
814#2681—431no—
815#2681—431no—
816#2681—431no—
817#2681D4311yescharacteristic, complemented
818#2680—431no—
819#2680—431no—
820#2680—431no—
821#2680—431no—
822#2622—431no—
823#2622—431no—
824#2591—431no—
825#2583—431no—
826#2579—431no—
827#2579—431no—
828#2504—431no—
829#2502—431no—
830#2409—431no—
831#2409—431no—
832#2312—431no—
833C2×C43—42no—
834C2×C43—81no—
835C2×C43—81no—
836C2×C43C2×#53611yescharacteristic
837C2×C43#348411yescharacteristic
838C2×C43#348511yescharacteristic
839C2×C43#354111yescharacteristic
840C2×C43#354111yescharacteristic
841C2×C43#354111yescharacteristic
842C2×C43#354111yescharacteristic
843D43—24no—
844D43—42no—
845C23×Q8—431no—
846C24×C4—431no—
847#538—868no—
848C2×#126—431no—
849C2×#126—431no—
850C2×#124—431no—
851C2×#124—431no—
852C2×#123—431no—
853C2×#123—431no—
854C2×#123—431no—
855C2×#123—431no—
856C2×#123—431no—
857C2×#123C2×D4311yescharacteristic
858C2×C22⋊Q8—431no—
859C2×C22⋊Q8—431no—
860C2×C22⋊Q8—431no—
861C2×C22⋊Q8—431no—
862C2×C22⋊Q8—431no—
863C2×C22⋊Q8—431no—
864C2×C22⋊Q8—431no—
865C2×C22⋊Q8—431no—
866C2×C22⋊Q8—431no—
867C2×C22⋊Q8—431no—
868C2×C22⋊Q8—431no—
869C2×C22⋊Q8—868no—
870C2×C22⋊Q8C2×D4311yescharacteristic
871C2×C22⋊Q8C2×D4311yescharacteristic, complemented
872C2×#121—431no—
873C2×#121—431no—
874C2×#121C2×D4311yescharacteristic
875C2×#120—431no—
876C2×#120—431no—
877C2×C4×D4—431no—
878C2×C4×D4—431no—
879C22×C4⋊C4—431no—
880C22×C4⋊C4—431no—
881C22×C4⋊C4—431no—
882C22×C22⋊C4—431no—
883C22×C22⋊C4—431no—
884#400—431no—
885#400—431no—
886#398—431no—
887#398—431no—
888#398—431no—
889#398—431no—
890#398—431no—
891#398—431no—
892#398—431no—
893#398—431no—
894#398—431no—
895#398C2×D4311yescharacteristic, complemented
896#397—431no—
897#397—431no—
898#397—431no—
899#397—431no—
900#397—431no—
901#397—431no—
902#397—431no—
903#397—431no—
904#397—431no—
905#397—431no—
906#397—431no—
907#397—431no—
908#396—431no—
909#396—431no—
910#396—431no—
911#396C2×D4311yescharacteristic, complemented
912#395—431no—
913#395—431no—
914#395—431no—
915#395—431no—
916#395—431no—
917#395—431no—
918#394—431no—
919#394—431no—
920#394—431no—
921#394—431no—
922#394—431no—
923#394—431no—
924#394—431no—
925#394C2×D4311yescharacteristic
926#394C2×D4311yescharacteristic
927#394C2×D4311yescharacteristic, complemented
928#393—431no—
929#393—431no—
930#393—431no—
931#393C2×D4311yescharacteristic, complemented
932#391—431no—
933#391—431no—
934#391—431no—
935#391—431no—
936#391—431no—
937#391—431no—
938#390—431no—
939#390C2×D4311yescharacteristic, complemented
940#389—431no—
941#389—431no—
942#389—431no—
943#389C2×D4311yescharacteristic, complemented
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
956#387—431no—
957#387—431no—
958#387—431no—
959#387—431no—
960#386—431no—
961#386—431no—
962#386—431no—
963#386—431no—
964#386—431no—
965#386—431no—
966#386—431no—
967#386—431no—
968#386—431no—
969#386—431no—
970#386—431no—
971#386C2×D4311yescharacteristic
972#385—431no—
973#385—431no—
974#385—431no—
975#385—431no—
976#385—431no—
977#385—431no—
978#385—431no—
979#385—431no—
980#385—431no—
981#385—431no—
982#385—431no—
983#385—431no—
984#385—431no—
985#385—431no—
986#385—431no—
987#385C2×D4311yescharacteristic, complemented
988#384—431no—
989#384—431no—
990#382—431no—
991#382—431no—
992#381—431no—
993#381—431no—
994#381—431no—
995#381—431no—
996#380—431no—
997#380—431no—
998#379—431no—
999#379—431no—
1000C4×C22⋊C4—431no—
1001C4×C22⋊C4—431no—
1002C43#3671611yescharacteristic, complemented, Sylow
1003C25—431no—
1004C22×Q8—431no—
1005C22×Q8—431no—
1006C22×Q8—431no—
1007C22×Q8—431no—
1008C22×Q8—864no—
1009C22×Q8—1722no—
1010C22×Q8—1722no—
1011C22×Q8C22×D4311yescharacteristic
1012C22×D4—431no—
1013C22×D4—431no—
1014C22×D4—431no—
1015C22×D4—431no—
1016C22×D4C22×D4311yescharacteristic
1017C22×D4C22×D4311yescharacteristic
1018C22×D4C22×D4311yescharacteristic
1019C23×C4—431no—
1020C23×C4—431no—
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—864no—
1030C23×C4—1722no—
1031C23×C4—1722no—
1032C23×C4C22×D4311yescharacteristic
1033C23×C4C22×D4311yescharacteristic
1034#126—864no—
1035#126—864no—
1036#124—864no—
1037#124—864no—
1038#123—42no—
1039#123—864no—
1040#123—864no—
1041#123—1722no—
1042#123—1722no—
1043#123—1722no—
1044C22⋊Q8—24no—
1045C22⋊Q8—42no—
1046C22⋊Q8—864no—
1047C22⋊Q8—864no—
1048C22⋊Q8—864no—
1049C22⋊Q8—864no—
1050C22⋊Q8—864no—
1051C22⋊Q8—864no—
1052C22⋊Q8—864no—
1053C22⋊Q8—864no—
1054C22⋊Q8—1722no—
1055C22⋊Q8—1722no—
1056C22⋊Q8—1722no—
1057#121—24no—
1058#121—864no—
1059#121—864no—
1060#120—864no—
1061#120—864no—
1062C4×D4—864no—
1063C4×D4—864no—
1064C2×C4⋊C4—431no—
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⋊C4—864no—
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×C22⋊C4—431no—
1106C2×C22⋊C4—431no—
1107C2×C22⋊C4—431no—
1108C2×C22⋊C4—438no—
1109C2×C22⋊C4—431no—
1110C2×C22⋊C4—431no—
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—864no—
1140C2×C22⋊C4C22×D4311yescharacteristic
1141C2×C22⋊C4C22×D4311yescharacteristic
1142C2×C22⋊C4C22×D4311yescharacteristic
1143C2×C22⋊C4C22×D4311yescharacteristic
1144C2×C22⋊C4C22×D4311yescharacteristic
1145C2×C22⋊C4C22×D4311yescharacteristic
1146C2×C22⋊C4C22×D4311yescharacteristic
1147C2×C22⋊C4C22×D4311yescharacteristic
1148C2×C22⋊C4C22×D4311yescharacteristic
1149C2×C22⋊C4C22×D4311yescharacteristic
1150C2×C22⋊C4C22×D4311yescharacteristic
1151C2×C22⋊C4C22×D4311yescharacteristic
1152C2×C22⋊C4C22×D4311yescharacteristic
1153C2×C42—431no—
1154C2×C42—431no—
1155C2×C42—431no—
1156C2×C42—431no—
1157C2×C42—431no—
1158C2×C42C22×D4311yescharacteristic
1159#95—431no—
1160#95—431no—
1161#95—431no—
1162#95—431no—
1163#95—431no—
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#95C22×D4311yescharacteristic
1194#95C22×D4311yescharacteristic
1195#95C22×D4311yescharacteristic
1196#95C22×D4311yescharacteristic
1197#95C22×D4311yescharacteristic
1198#95C22×D4311yescharacteristic
1199C24—431no—
1200C24—431no—
1201C24—434no—
1202C24—862no—
1203C24—862no—
1204C24—1721no—
1205C24—1721no—
1206C24—1721no—
1207C24—1721no—
1208C24C23×D4311yescharacteristic
1209C24C23×D4311yescharacteristic
1210C24C23×D4311yescharacteristic
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—41no—
1214C2×Q8—862no—
1215C2×Q8—862no—
1216C2×Q8—862no—
1217C2×Q8—862no—
1218C2×Q8—862no—
1219C2×Q8—862no—
1220C2×Q8—862no—
1221C2×Q8—1721no—
1222C2×Q8—1721no—
1223C2×Q8—1721no—
1224C2×Q8—1721no—
1225C2×Q8—1721no—
1226C2×Q8—17216no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—862no—
1237C2×D4—862no—
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—1721no—
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—431no—
1257C22×C4—434no—
1258C22×C4—434no—
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—431no—
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—17216no—
1296C22×C4—1721no—
1297C22×C4—1721no—
1298C22×C4—1721no—
1299C22×C4C23×D4311yescharacteristic
1300C22×C4C23×D4311yescharacteristic
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
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—862no—
1321C4⋊C4—862no—
1322C4⋊C4—862no—
1323C4⋊C4—862no—
1324C4⋊C4—862no—
1325C4⋊C4—862no—
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—1721no—
1338C4⋊C4—1721no—
1339C4⋊C4—1721no—
1340C4⋊C4—1721no—
1341C4⋊C4—1721no—
1342C4⋊C4—1721no—
1343C4⋊C4—1721no—
1344C4⋊C4—1721no—
1345C4⋊C4—1721no—
1346C4⋊C4—1721no—
1347C4⋊C4—1721no—
1348C4⋊C4—1721no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—434no—
1362C22⋊C4—434no—
1363C22⋊C4—434no—
1364C22⋊C4—862no—
1365C22⋊C4—862no—
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—1721no—
1383C22⋊C4—1721no—
1384C22⋊C4—1721no—
1385C22⋊C4—1721no—
1386C22⋊C4—1721no—
1387C22⋊C4—1721no—
1388C22⋊C4—1721no—
1389C22⋊C4—1721no—
1390C22⋊C4—1721no—
1391C22⋊C4—1721no—
1392C22⋊C4—1721no—
1393C22⋊C4—1721no—
1394C22⋊C4D4×D4314yes—
1395C42—41no—
1396C42—862no—
1397C42—862no—
1398C42—1721no—
1399C42—1721no—
1400C42—1721no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
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—21no—
1419C23—21no—
1420C23—21no—
1421C23—432no—
1422C23—432no—
1423C23—432no—
1424C23—432no—
1425C23—868no—
1426C23—861no—
1427C23—861no—
1428C23—861no—
1429C23—861no—
1430C23—861no—
1431C23—861no—
1432C23—861no—
1433C23—861no—
1434C23—861no—
1435C23—861no—
1436C23—1724no—
1437C23—1724no—
1438C23—1724no—
1439C23—1724no—
1440C23—1724no—
1441C23—1724no—
1442C23C2×D4×D4312yes—
1443C23C24×D4311yescharacteristic
1444Q8—44no—
1445Q8—3442no—
1446Q8—1724no—
1447Q8—1724no—
1448Q8—1724no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—3442no—
1453D4—3442no—
1454D4—1724no—
1455D4—1724no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
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—44no—
1490C2×C4—82no—
1491C2×C4—432no—
1492C2×C4—432no—
1493C2×C4—432no—
1494C2×C4—868no—
1495C2×C4—861no—
1496C2×C4—861no—
1497C2×C4—861no—
1498C2×C4—861no—
1499C2×C4—861no—
1500C2×C4—861no—
1501C2×C4—861no—
1502C2×C4—861no—
1503C2×C4—861no—
1504C2×C4—861no—
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—3442no—
1535C2×C4—1724no—
1536C2×C4—1724no—
1537C2×C4—1724no—
1538C2×C4—1724no—
1539C2×C4—1724no—
1540C2×C4—1724no—
1541C2×C4—1724no—
1542C2×C4—1724no—
1543C2×C4C2×D4×D4312yes—
1544C2×C4C2×D4×D4312yes—
1545C2×C4#1306337012yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—434no—
1568C22—862no—
1569C22—862no—
1570C22—862no—
1571C22—862no—
1572C22—862no—
1573C22—862no—
1574C22—862no—
1575C22—862no—
1576C22—862no—
1577C22—17216no—
1578C22—1721no—
1579C22—1721no—
1580C22—1721no—
1581C22—1721no—
1582C22C22×D4×D4311yescharacteristic
1583C22H(5,𝔽2)×D4311yescharacteristic
1584C22C2×#1306337011yescharacteristic
1585C222−1+4×D4311yescharacteristic
1586C222−1+4×D4311yescharacteristic
1587C22#1458373411yescharacteristic
1588C22#1458373511yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—862no—
1602C4—862no—
1603C4—862no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C4—1721no—
1608C4—1721no—
1609C4—1721no—
1610C4—1721no—
1611C4—1721no—
1612C4—1721no—
1613C4—1721no—
1614C4—1721no—
1615C2—42no—
1616C2—81no—
1617C2—81no—
1618C2—864no—
1619C2—1722no—
1620C2#536×D4311yescharacteristic
1621C2#1914822311yescharacteristic
1622C2#1914823211yescharacteristic
1623C2#1914887611yescharacteristic
1624C2#1914887711yescharacteristic
1625C2#1914888611yescharacteristic
1626C2#1914888711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2681C2
prime radicalC2×#14583481C2
hypercenter#2681D43
hypocenterC43#36716
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2681

Complements

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

NH ≅ G/Ntype
2. C2×C22⋊Q8×D43C2semidirect
3. #19142886C2semidirect
4. #19142884C2semidirect
5. #19141200C2semidirect
6. #19141199C2semidirect
7. #19141198C2semidirect
8. #19141197C2semidirect
9. #19141167C2semidirect
10. #19141165C2semidirect
11. #19141164C2semidirect
12. #19141162C2semidirect
13. #19140946C2semidirect
14. #19140944C2semidirect
15. #19140941C2semidirect
16. #19140938C2semidirect
17. #19140937C2semidirect
18. #19140934C2semidirect
19. #19140932C2semidirect
20. #19140367C2semidirect
21. #19140367C2semidirect
22. #19140069C2semidirect
23. #19139973C2semidirect
24. #19139940C2semidirect
25. #19139937C2semidirect
26. #19139086C2semidirect
27. #19139068C2semidirect
28. #19137956C2semidirect
29. #19137953C2semidirect
30. #19137189C2semidirect
31. C43×#2681C2semidirect
46. C2×#13063304C22semidirect
52. C2×#13063302C22semidirect
53. C2×#13063302C22semidirect
67. #14582839C22semidirect
68. #14582838C22semidirect
69. #14582833C22semidirect
70. #14582833C22semidirect
71. #14582832C22semidirect
72. #14582832C22semidirect
73. #14582831C22semidirect
74. #14582830C22semidirect
75. #14582830C22semidirect
76. #14582829C22semidirect
77. #14582829C22semidirect
82. #14582827C22semidirect
83. #14582827C22semidirect
84. #14582827C22semidirect
85. #14582827C22semidirect
90. #14582822C22semidirect
91. #14582822C22semidirect
92. #14582822C22semidirect
93. #14582820C22semidirect
94. #14582820C22semidirect
95. #14582819C22semidirect
96. #14582819C22semidirect
97. #14582819C22semidirect
98. #14582818C22semidirect
105. #14582813C22semidirect
106. #14582811C22semidirect
107. #14582811C22semidirect
108. #14582811C22semidirect
109. #14582806C22semidirect
110. #14582804C22semidirect
111. #14582803C22semidirect
112. #14582803C22semidirect
113. #14582803C22semidirect
114. #14582803C22semidirect
115. #14582802C22semidirect
116. #14582797C22semidirect
117. #14582794C22semidirect
118. #14582794C22semidirect
121. #14582792C22semidirect
122. #14582792C22semidirect
128. #14582787C22semidirect
129. #14582787C22semidirect
130. #14582785C22semidirect
131. #14582784C22semidirect
132. #14582781C22semidirect
133. #14582780C22semidirect
146. #14582774C22semidirect
152. #14582772C22semidirect
153. #14582771C22semidirect
160. #14582768C22semidirect
161. #14582768C22semidirect
162. #14582765C22semidirect
163. #14582764C22semidirect
176. C2×C22⋊Q8×C43C22semidirect
178. C43×#398C22semidirect
179. C43×#396C22semidirect
182. C43×#394C22semidirect
183. C43×#393C22semidirect
184. C43×#390C22semidirect
185. C43×#389C22semidirect
188. C43×#385C22semidirect
817. #2681D43semidirect
871. C2×C22⋊Q8C2×D43semidirect
895. #398C2×D43semidirect
911. #396C2×D43semidirect
927. #394C2×D43semidirect
931. #393C2×D43semidirect
939. #390C2×D43semidirect
943. #389C2×D43semidirect
987. #385C2×D43semidirect
1002. C43#36716semidirect

Maximal subgroups

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

subgroupindex
C2×#145834812
C2×C22⋊Q8×D432
#191428862
#191428842
#191412002
#191411992
#191411982
#191411972
#191411672
#191411652
#191411642
#191411622
#191409462
#191409442
#191409412
#191409382
#191409372
#191409342
#191409322
#191403672
#191400692
#191399732
#191399402
#191399372
#191390862
#191390682
#191379562
#191379532
#191371892
C43×#26812
#3671643