Finite Group Databasebeta

← #25303494

Subgroups — #25303494

Order 11008.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583505C211yesmaximal, characteristic, complemented
2C2×#14583412C211yesmaximal, characteristic, complemented
3#19142890C211yesmaximal, characteristic, complemented
4#19142878C211yesmaximal, characteristic, complemented
5#19141109C211yesmaximal, characteristic, complemented
6#19141105C211yesmaximal, characteristic, complemented
7#19141038C211yesmaximal, characteristic, complemented
8#19141011C211yesmaximal, characteristic, complemented
9#19140919C211yesmaximal, characteristic, complemented
10#19140892C211yesmaximal, characteristic, complemented
11#19140886C211yesmaximal, characteristic, complemented
12#19140864C211yesmaximal, characteristic, complemented
13#19140864C211yesmaximal, characteristic, complemented
14#19140845C211yesmaximal, characteristic, complemented
15#19140838C211yesmaximal, characteristic, complemented
16#19140828C211yesmaximal, characteristic, complemented
17#19140810C211yesmaximal, characteristic, complemented
18#19140810C211yesmaximal, characteristic, complemented
19#19140805C211yesmaximal, characteristic, complemented
20#19140488C211yesmaximal, characteristic, complemented
21#19140445C211yesmaximal, characteristic, complemented
22#19140274C211yesmaximal, characteristic, complemented
23#19140212C211yesmaximal, characteristic, complemented
24#19140164C211yesmaximal, characteristic, complemented
25#19140159C211yesmaximal, characteristic, complemented
26#19139552C211yesmaximal, characteristic, complemented
27#19139493C211yesmaximal, characteristic, complemented
28#19138216C211yesmaximal, characteristic, complemented
29#19138206C211yesmaximal, characteristic, complemented
30#19137227C211yesmaximal, characteristic, complemented
31C43×#2690C211yesmaximal, characteristic, complemented
32C22×#10621902C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34#14583505—28no—
35C2×#13063322C2211yescharacteristic
36C2×#13063322C2211yescharacteristic
37C2×#13063314C2211yescharacteristic, complemented
38#14583412—28no—
39C2×#13063310C2211yescharacteristic
40C2×#13063310C2211yescharacteristic
41C2×#13063310C2211yescharacteristic
42C2×#13063310C2211yescharacteristic
43C2×#13063310C2211yescharacteristic
44C2×#13063310C2211yescharacteristic, complemented
45C2×#13063310C2211yescharacteristic, complemented
46C2×#13063301C2211yescharacteristic
47C2×#13063300C2211yescharacteristic
48C2×#13063300C2211yescharacteristic
49C2×#13063300C2211yescharacteristic
50C2×#13063300C2211yescharacteristic
51C2×#13063300C2211yescharacteristic
52C2×#13063300C2211yescharacteristic
53C2×#13063300C2211yescharacteristic, complemented
54C2×#13063300C2211yescharacteristic, complemented
55C2×#13063300C2211yescharacteristic, complemented
56C2×#13063300C2211yescharacteristic, complemented
57C2×#13063299C2211yescharacteristic
58C2×#13063299C2211yescharacteristic
59C2×#13063298C2211yescharacteristic
60C2×#13063298C2211yescharacteristic
61C2×#13063298C2211yescharacteristic
62C2×#13063298C2211yescharacteristic
63C2×#13063295C2211yescharacteristic
64C2×#13063295C2211yescharacteristic
65C2×#13063295C2211yescharacteristic
66C2×#13063295C2211yescharacteristic
67C2×#13063295C2211yescharacteristic
68C2×#13063287C2211yescharacteristic
69C2×#13063287C2211yescharacteristic
70C2×#13063287C2211yescharacteristic, complemented
71C2×(C22⋊D43)⋊C4C2211yescharacteristic
72C2×(C22⋊D43)⋊C4C2211yescharacteristic
73C2×#13063283C2211yescharacteristic
74C2×#13063282C2211yescharacteristic, complemented
75#14582840C2211yescharacteristic, complemented
76#14582834C2211yescharacteristic
77#14582834C2211yescharacteristic, complemented
78#14582834C2211yescharacteristic, complemented
79#14582833C2211yescharacteristic, complemented
80#14582830C2211yescharacteristic, complemented
81#14582828C2211yescharacteristic
82#14582828C2211yescharacteristic, complemented
83#14582825C2211yescharacteristic, complemented
84#14582823C2211yescharacteristic
85#14582821C2211yescharacteristic, complemented
86#14582821C2211yescharacteristic, complemented
87#14582821C2211yescharacteristic, complemented
88#14582817C2211yescharacteristic
89#14582817C2211yescharacteristic
90#14582817C2211yescharacteristic
91#14582817C2211yescharacteristic
92#14582817C2211yescharacteristic, complemented
93#14582817C2211yescharacteristic, complemented
94#14582816C2211yescharacteristic
95#14582816C2211yescharacteristic
96#14582816C2211yescharacteristic, complemented
97#14582816C2211yescharacteristic, complemented
98#14582816C2211yescharacteristic, complemented
99#14582814C2211yescharacteristic
100#14582814C2211yescharacteristic
101#14582810C2211yescharacteristic, complemented
102#14582809C2211yescharacteristic
103#14582809C2211yescharacteristic
104#14582809C2211yescharacteristic
105#14582809C2211yescharacteristic
106#14582809C2211yescharacteristic
107#14582809C2211yescharacteristic
108#14582809C2211yescharacteristic
109#14582809C2211yescharacteristic, complemented
110#14582809C2211yescharacteristic, complemented
111#14582809C2211yescharacteristic, complemented
112#14582809C2211yescharacteristic, complemented
113#14582808C2211yescharacteristic
114#14582808C2211yescharacteristic
115#14582808C2211yescharacteristic
116#14582808C2211yescharacteristic
117#14582800C2211yescharacteristic
118#14582799C2211yescharacteristic
119#14582794C2211yescharacteristic, complemented
120#14582790C2211yescharacteristic
121#14582790C2211yescharacteristic
122#14582790C2211yescharacteristic, complemented
123#14582790C2211yescharacteristic, complemented
124#14582788C2211yescharacteristic
125#14582788C2211yescharacteristic, complemented
126#14582788C2211yescharacteristic, complemented
127#14582788C2211yescharacteristic, complemented
128#14582785C2211yescharacteristic, complemented
129#14582781C2211yescharacteristic, complemented
130#14582778C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582777C2211yescharacteristic
133#14582777C2211yescharacteristic
134#14582777C2211yescharacteristic
135#14582777C2211yescharacteristic
136#14582777C2211yescharacteristic
137#14582777C2211yescharacteristic
138#14582777C2211yescharacteristic
139#14582777C2211yescharacteristic
140#14582777C2211yescharacteristic
141#14582777C2211yescharacteristic
142#14582777C2211yescharacteristic
143#14582777C2211yescharacteristic, complemented
144#14582777C2211yescharacteristic, complemented
145#14582777C2211yescharacteristic, complemented
146#14582777C2211yescharacteristic, complemented
147#14582777C2211yescharacteristic, complemented
148#14582777C2211yescharacteristic, complemented
149#14582777C2211yescharacteristic, complemented
150#14582776C2211yescharacteristic
151#14582776C2211yescharacteristic
152#14582776C2211yescharacteristic
153#14582775C2211yescharacteristic
154#14582773C2211yescharacteristic, complemented
155#14582773C2211yescharacteristic, complemented
156#14582773C2211yescharacteristic, complemented
157#14582771C2211yescharacteristic
158#14582770C2211yescharacteristic
159#14582770C2211yescharacteristic
160#14582770C2211yescharacteristic, complemented
161#14582770C2211yescharacteristic, complemented
162#14582770C2211yescharacteristic, complemented
163#14582766C2211yescharacteristic, complemented
164#14582763C2211yescharacteristic, complemented
165#14582761C2211yescharacteristic
166#14582761C2211yescharacteristic
167#14582758C2211yescharacteristic, complemented
168#14582758C2211yescharacteristic, complemented
169#14582756C2211yescharacteristic
170#14582756C2211yescharacteristic
171#14582754C2211yescharacteristic
172C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
173#95×D43C2211yescharacteristic, complemented
174C2×#125×C43C2211yescharacteristic, complemented
175C2×C22⋊Q8×C43C2211yescharacteristic
176C43×#400C2211yescharacteristic, complemented
177C43×#400C2211yescharacteristic, complemented
178C43×#398C2211yescharacteristic, complemented
179C43×#397C2211yescharacteristic
180C43×#397C2211yescharacteristic
181C43×#395C2211yescharacteristic, complemented
182C43×#391C2211yescharacteristic, complemented
183C43×#388C2211yescharacteristic
184C43×#388C2211yescharacteristic
185C43×#387C2211yescharacteristic, complemented
186C43×#387C2211yescharacteristic, complemented
187C43×#385C2211yescharacteristic
188C43×#380C2211yescharacteristic
189C24×D43C2311yescharacteristic
190C2×#10621902—24no—
191C2×#10621902—42no—
192C2×#10621902—42no—
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×D172C2311yescharacteristic
201C22×D172C2311yescharacteristic
202C22×D172C2311yescharacteristic
203C22×D172C2311yescharacteristic
204C22×D172C2311yescharacteristic
205C22×D172C2311yescharacteristic
206C22×D172C2311yescharacteristic
207C22×D172C2311yescharacteristic
208C22×D172C2311yescharacteristic
209C22×D172C2311yescharacteristic
210C22×D172C2311yescharacteristic
211C22×D172C2311yescharacteristic
212C22×D172C2311yescharacteristic
213C22×C22⋊D43C2311yescharacteristic
214C22×C22⋊D43C2311yescharacteristic
215C22×C22⋊D43C2311yescharacteristic
216C22×C22⋊D43C2311yescharacteristic
217C22×C22⋊D43C2311yescharacteristic
218C23×Dic43C2311yescharacteristic
219C22×C4×D43—24no—
220C22×C4×D43—42no—
221C22×C4×D43—42no—
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2311yescharacteristic
230C22×C4×D43C2311yescharacteristic
231C22×C4×D43C2311yescharacteristic
232C22×C4×D43C2311yescharacteristic
233#13063322—24no—
234#13063322—42no—
235#13063314—42no—
236#13063310—24no—
237#13063310—24no—
238#13063310—24no—
239#13063310—24no—
240#13063310—24no—
241#13063310—24no—
242#13063310—42no—
243#13063301—24no—
244#13063300—24no—
245#13063300—24no—
246#13063300—24no—
247#13063300—24no—
248#13063300—24no—
249#13063300—24no—
250#13063300—24no—
251#13063300—42no—
252#13063300—42no—
253#13063300—42no—
254#13063299—24no—
255#13063299—42no—
256#13063298—42no—
257#13063298—42no—
258#13063298—42no—
259#13063298—42no—
260#13063295—24no—
261#13063295—24no—
262#13063295—42no—
263#13063295—42no—
264#13063295—42no—
265#13063287—24no—
266#13063287—24no—
267#13063287D418yescomplemented
268(C22⋊D43)⋊C4—24no—
269(C22⋊D43)⋊C4—24no—
270#13063283—24no—
271#13063282—24no—
272C2×C4⋊Dic43C2311yescharacteristic
273C2×C4⋊Dic43C2311yescharacteristic
274C2×Dic43⋊C4C2311yescharacteristic
275C2×Dic43⋊C4C2311yescharacteristic
276C2×Dic43⋊C4C2311yescharacteristic
277C2×Dic43⋊C4C2311yescharacteristic
278C2×Dic43⋊C4C2311yescharacteristic
279C2×Dic43⋊C4C2311yescharacteristic
280C2×Dic43⋊C4C2311yescharacteristic
281C2×Dic43⋊C4C2311yescharacteristic
282C2×Dic43⋊C4C2311yescharacteristic
283C2×Dic43⋊C4C2311yescharacteristic
284C2×Dic43⋊C4C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
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
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×(C2×D43)⋊C4C2311yescharacteristic
315C2×(C2×D43)⋊C4C2311yescharacteristic
316C2×(C2×D43)⋊C4C2311yescharacteristic
317C2×(C2×D43)⋊C4C2311yescharacteristic
318C2×(C2×D43)⋊C4C2311yescharacteristic
319C2×(C2×D43)⋊C4C2311yescharacteristic
320C2×(C2×D43)⋊C4C2311yescharacteristic
321C2×(C2×D43)⋊C4C2311yescharacteristic
322C2×(C2×D43)⋊C4C2311yescharacteristic
323C2×(C2×D43)⋊C4C2311yescharacteristic
324C2×(C2×D43)⋊C4C2311yescharacteristic
325C2×(C2×D43)⋊C4C2311yescharacteristic
326C2×(C2×D43)⋊C4C2311yescharacteristic
327C2×(C2×D43)⋊C4C2311yescharacteristic
328C2×(C2×D43)⋊C4C2311yescharacteristic
329C2×(C2×D43)⋊C4C2311yescharacteristic
330C2×(C2×D43)⋊C4C2311yescharacteristic
331C2×(C2×D43)⋊C4C2311yescharacteristic
332C2×(C2×D43)⋊C4C2311yescharacteristic
333C2×C4×Dic43C2311yescharacteristic
334C2×C4×Dic43C2311yescharacteristic
335C2×C4×Dic43C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354C22×Q8×C43C2311yescharacteristic
355C23×C4×C43C2311yescharacteristic
356#125×C43—24no—
357C22⋊Q8×C43—24no—
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×C4⋊C4×C43C2311yescharacteristic
367C2×C4⋊C4×C43C2311yescharacteristic
368C2×C4⋊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×C42×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
385#95×C43C2311yescharacteristic
386#95×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391C24×C43C2411yescharacteristic
392C23×D43—22no—
393C23×D43—22no—
394C23×D43—22no—
395C23×D43—41no—
396C23×D43—41no—
397C23×D43—41no—
398C23×D43—41no—
399C23×D43C2411yescharacteristic
400C23×D43C2411yescharacteristic
401C23×D43C2411yescharacteristic
402C23×D43C2411yescharacteristic
403C23×D43C2411yescharacteristic
404C23×D43C2411yescharacteristic
405C23×D43C2411yescharacteristic
406C2×Q8×C43—22no—
407C2×Q8×C43—22no—
408C2×Q8×C43—41no—
409C22×C4×C43—22no—
410C22×C4×C43—22no—
411C22×C4×C43—41no—
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
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
426C2×C22⋊D43—22no—
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—41no—
434C2×C22⋊D43—41no—
435C2×C22⋊D43—41no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
438C2×C22⋊D43—41no—
439C2×C22⋊D43—41no—
440C2×C22⋊D43—41no—
441C22×Dic43—22no—
442C22×Dic43—41no—
443C22×Dic43—41no—
444C22×Dic43C2411yescharacteristic
445C22×Dic43C2411yescharacteristic
446C22×Dic43C2411yescharacteristic
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453#10621902—416no—
454C2×D172—22no—
455C2×D172—22no—
456C2×D172—22no—
457C2×D172—22no—
458C2×D172—22no—
459C2×D172—22no—
460C2×D172—22no—
461C2×D172—22no—
462C2×D172—22no—
463C2×D172—22no—
464C2×D172—22no—
465C2×D172—22no—
466C2×D172—22no—
467C2×D172—22no—
468C2×D172—22no—
469C2×D172—22no—
470C2×D172—22no—
471C2×D172—22no—
472C2×D172—22no—
473C2×D172—41no—
474C2×D172—41no—
475C2×D172—41no—
476C2×D172—41no—
477C2×D172—41no—
478C2×D172—41no—
479C2×D172—41no—
480C2×D172—41no—
481C2×D172—41no—
482C2×D172—41no—
483C2×D172—41no—
484C2×D172—41no—
485C2×D172—41no—
486C2×D172—41no—
487C2×D172—41no—
488C2×D172—41no—
489C2×D172—41no—
490C2×D172—41no—
491C2×D172—41no—
492C2×D172—41no—
493C2×D172—41no—
494C2×D172—41no—
495C2×D172—41no—
496C2×D172—41no—
497C2×D172—41no—
498C2×D172—41no—
499C2×D172—41no—
500C2×D172—41no—
501C2×D172—41no—
502C2×D172—41no—
503C2×D172—41no—
504C2×D172—41no—
505C2×D172—41no—
506C2×D172—41no—
507C2×D172—41no—
508C2×D172—41no—
509C2×D172—41no—
510C2×D172—41no—
511C2×D172—41no—
512C2×D172—41no—
513C2×D172C2×D414yes—
514C2×C4×D43—22no—
515C2×C4×D43—22no—
516C2×C4×D43—22no—
517C2×C4×D43—22no—
518C2×C4×D43—22no—
519C2×C4×D43—22no—
520C2×C4×D43—22no—
521C2×C4×D43—22no—
522C2×C4×D43—22no—
523C2×C4×D43—22no—
524C2×C4×D43—22no—
525C2×C4×D43—41no—
526C2×C4×D43—41no—
527C2×C4×D43—41no—
528C2×C4×D43—41no—
529C2×C4×D43—41no—
530C2×C4×D43—41no—
531C2×C4×D43—41no—
532C2×C4×D43—41no—
533C2×C4×D43—41no—
534C2×C4×D43—41no—
535C2×C4×D43—41no—
536C2×C4×D43—41no—
537C2×C4×D43—41no—
538C2×C4×D43—41no—
539C2×C4×D43—41no—
540C2×C4×D43—41no—
541C2×C4×D43—41no—
542C2×C4×D43—41no—
543C2×C4×D43—41no—
544C2×C4×D43—41no—
545C2×C4×D43—416no—
546C2×C4×D43C2×D414yes—
547C2×C4×D43C2×D414yes—
548C4⋊C4×C43—22no—
549C4⋊C4×C43—22no—
550C4⋊C4×C43—22no—
551C4⋊C4×C43—22no—
552C4⋊C4×C43—22no—
553C4⋊C4×C43—22no—
554C4⋊C4×C43—22no—
555C4⋊C4×C43—22no—
556C4⋊C4×C43—41no—
557C4⋊C4×C43—41no—
558C4⋊C4×C43C2×D414yes—
559C22⋊C4×C43—22no—
560C22⋊C4×C43—22no—
561C22⋊C4×C43—22no—
562C22⋊C4×C43—22no—
563C22⋊C4×C43—22no—
564C22⋊C4×C43—41no—
565C42×C43—22no—
566C42×C43—41no—
567C22⋊Dic43—41no—
568(C2×D43)⋊C4—22no—
569(C2×D43)⋊C4—22no—
570(C2×D43)⋊C4—22no—
571(C2×D43)⋊C4—22no—
572(C2×D43)⋊C4—22no—
573(C2×D43)⋊C4—22no—
574(C2×D43)⋊C4—22no—
575(C2×D43)⋊C4—22no—
576(C2×D43)⋊C4—22no—
577(C2×D43)⋊C4—22no—
578(C2×D43)⋊C4—22no—
579(C2×D43)⋊C4—22no—
580(C2×D43)⋊C4—22no—
581(C2×D43)⋊C4—22no—
582(C2×D43)⋊C4—22no—
583(C2×D43)⋊C4—22no—
584(C2×D43)⋊C4—22no—
585(C2×D43)⋊C4—22no—
586(C2×D43)⋊C4—41no—
587(C2×D43)⋊C4—41no—
588(C2×D43)⋊C4—41no—
589(C2×D43)⋊C4—41no—
590(C2×D43)⋊C4—41no—
591(C2×D43)⋊C4—41no—
592(C2×D43)⋊C4—41no—
593(C2×D43)⋊C4—41no—
594(C2×D43)⋊C4—41no—
595(C2×D43)⋊C4—41no—
596(C2×D43)⋊C4—41no—
597(C2×D43)⋊C4—41no—
598(C2×D43)⋊C4—41no—
599(C2×D43)⋊C4—41no—
600(C2×D43)⋊C4—41no—
601(C2×D43)⋊C4—41no—
602(C2×D43)⋊C4—41no—
603(C2×D43)⋊C4—41no—
604(C2×D43)⋊C4—41no—
605(C2×D43)⋊C4—41no—
606(C2×D43)⋊C4—41no—
607(C2×D43)⋊C4—41no—
608(C2×D43)⋊C4—41no—
609(C2×D43)⋊C4—41no—
610(C2×D43)⋊C4—41no—
611(C2×D43)⋊C4—41no—
612(C2×D43)⋊C4—41no—
613(C2×D43)⋊C4C2×D414yes—
614(C2×D43)⋊C4C2×D414yes—
615C4⋊Dic43—22no—
616C4⋊Dic43—41no—
617Dic43⋊C4—22no—
618Dic43⋊C4—22no—
619Dic43⋊C4—22no—
620Dic43⋊C4—22no—
621Dic43⋊C4—41no—
622Dic43⋊C4—41no—
623Dic43⋊C4—41no—
624Dic43⋊C4—41no—
625Dic43⋊C4—41no—
626Dic43⋊C4—41no—
627Dic43⋊C4—41no—
628C4×Dic43—22no—
629C4×Dic43—41no—
630C4×Dic43C2×D414yes—
631C23×C43—21no—
632C23×C43—21no—
633C23×C43—21no—
634C23×C43—21no—
635C23×C43—21no—
636C23×C43—21no—
637C23×C43H(5,𝔽2)12yes—
638C23×C43C2511yescharacteristic
639C22×D43—21no—
640C22×D43—21no—
641C22×D43—21no—
642C22×D43—21no—
643C22×D43—21no—
644C22×D43—21no—
645C22×D43—21no—
646C22×D43—21no—
647C22×D43—21no—
648C22×D43—21no—
649C22×D43—21no—
650C22×D43—21no—
651C22×D43—21no—
652C22×D43—21no—
653C22×D43—21no—
654C22×D43—21no—
655C22×D43—21no—
656C22×D43—21no—
657C22×D43—21no—
658C22×D43—21no—
659C22×D43—21no—
660C22×D43—21no—
661C22×D43—21no—
662C22×D43—21no—
663C22×D43—21no—
664C22×D43—21no—
665C22×D43—21no—
666C22×D43—21no—
667C22×D43—21no—
668C22×D43—21no—
669C22×D43—21no—
670C22×D43—21no—
671C22×D43—21no—
672C22×D43—21no—
673C22×D43—21no—
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—21no—
678C22×D43—21no—
679C22×D43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—21no—
685C22×D43—44no—
686C22×D43—44no—
687C22×D43—44no—
688C22×D43—44no—
689C22×D43—44no—
690C22×D43—44no—
691C22×D43—44no—
692C22×D43C22×D412yes—
693C22×D43C22×D412yes—
694C22×D43H(5,𝔽2)12yes—
695Q8×C43—44no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—44no—
735C2×C4×C43C22×D412yes—
736C2×C4×C43C22×D412yes—
737C2×C4×C43C22×D412yes—
738C2×C4×C43H(5,𝔽2)12yes—
739C22⋊D43—44no—
740C22⋊D43—44no—
741C22⋊D43—82no—
742C22⋊D43—82no—
743C22⋊D43—82no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—44no—
770C2×Dic43C22×D412yes—
771C2×Dic43C22×D412yes—
772D172—44no—
773D172—44no—
774D172—44no—
775D172—44no—
776D172—44no—
777D172—44no—
778D172—82no—
779D172—82no—
780D172—82no—
781D172—82no—
782D172—82no—
783D172—82no—
784D172—82no—
785D172—82no—
786D172—82no—
787D172—82no—
788D172—82no—
789D172—82no—
790D172—82no—
791D172—82no—
792C4×D43—28no—
793C4×D43—44no—
794C4×D43—44no—
795C4×D43—44no—
796C4×D43—44no—
797C4×D43—44no—
798C4×D43—44no—
799C4×D43—82no—
800C4×D43—82no—
801C4×D43—82no—
802C4×D43—82no—
803#36713—431nomaximal, Sylow
804C22×C43—22no—
805C22×C43—22no—
806C22×C43—22no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43C23×D411yescharacteristic
812C22×C43C2×H(5,𝔽2)11yescharacteristic
813C22×C43C2×H(5,𝔽2)11yescharacteristic
814C22×C43C2×H(5,𝔽2)11yescharacteristic
815C22×C43#58511yescharacteristic
816C22×C43#58511yescharacteristic
817C22×C43#58511yescharacteristic
818C2×D43—22no—
819C2×D43—22no—
820C2×D43—22no—
821C2×D43—22no—
822C2×D43—22no—
823C2×D43—22no—
824C2×D43—22no—
825C2×D43—22no—
826C2×D43—22no—
827C2×D43—416no—
828C2×D43—41no—
829C2×D43—41no—
830C2×D43—41no—
831C2×D43—41no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—41no—
859C2×D43—41no—
860C2×D43—41no—
861C2×D43—41no—
862C2×D43—41no—
863C2×D43—41no—
864C2×D43—41no—
865C2×D43—41no—
866C2×D43—41no—
867C2×D43—41no—
868C4×C43—22no—
869C4×C43—22no—
870C4×C43—22no—
871C4×C43—22no—
872C4×C43—41no—
873C4×C43—41no—
874C4×C43—41no—
875C4×C43—41no—
876C4×C43—41no—
877C4×C43—41no—
878C4×C43—41no—
879C4×C43—41no—
880C4×C43—41no—
881C4×C43—41no—
882Dic43—22no—
883Dic43—22no—
884Dic43—41no—
885Dic43—41no—
886Dic43—41no—
887Dic43—41no—
888Dic43—41no—
889Dic43—41no—
890Dic43—41no—
891C2×#540—431no—
892C2×#525—431no—
893#2849—431no—
894#2847—431no—
895#2694—431no—
896#2693—431no—
897#2690D4311yescharacteristic, complemented
898#2688—431no—
899#2687—431no—
900#2678—431no—
901#2676—431no—
902#2675—431no—
903#2673—431no—
904#2673—431no—
905#2672—431no—
906#2671—431no—
907#2671—431no—
908#2669—431no—
909#2669—431no—
910#2668—431no—
911#2635—431no—
912#2630—431no—
913#2609—431no—
914#2602—431no—
915#2598—431no—
916#2598—431no—
917#2543—431no—
918#2535—431no—
919#2431—431no—
920#2430—431no—
921#2318—431no—
922C2×C43—42no—
923C2×C43#344911yescharacteristic
924C2×C43#348411yescharacteristic
925C2×C43#348811yescharacteristic
926C2×C43#353311yescharacteristic
927C2×C43#353411yescharacteristic
928C2×C43#353911yescharacteristic
929C2×C43#354211yescharacteristic
930D43—42no—
931D43—42no—
932D43—42no—
933D43—81no—
934D43—81no—
935D43—81no—
936D43—81no—
937C22×#41—431no—
938C24×C4—431no—
939#540—868no—
940C2×#127—431no—
941C2×#127—431no—
942C2×#125C2×D4311yescharacteristic, complemented
943C2×#124—431no—
944#525—868no—
945C2×#123—431no—
946C2×#123—431no—
947C2×#123—431no—
948C2×#123—431no—
949C2×#123—431no—
950C2×#123—431no—
951C2×#123—431no—
952C2×C22⋊Q8—431no—
953C2×C22⋊Q8C2×D4311yescharacteristic
954C2×#121—431no—
955C2×#121—431no—
956C2×#121—431no—
957C2×#121—431no—
958C2×#121—431no—
959C2×#121—431no—
960C2×#121—431no—
961C2×#121—431no—
962C2×#121—431no—
963C2×#121—431no—
964C2×#121—431no—
965C2×#121—431no—
966C2×#121—431no—
967C2×#121—431no—
968C2×#121—431no—
969C2×#121—431no—
970C2×#120—431no—
971C2×#120—431no—
972C2×#120—431no—
973C2×#120—431no—
974C2×#120—431no—
975C2×C4×D4—431no—
976C2×C4×D4—431no—
977C2×C4×D4—431no—
978C2×C4×D4—431no—
979C2×C4×D4—431no—
980C2×#117—431no—
981C2×#117—431no—
982#400—431no—
983#400C2×D4311yescharacteristic, complemented
984#400C2×D4311yescharacteristic, complemented
985#399—431no—
986#399—431no—
987#399—431no—
988#398—431no—
989#398—431no—
990#398C2×D4311yescharacteristic, complemented
991#397—431no—
992#397—431no—
993#397—431no—
994#397C2×D4311yescharacteristic
995#397C2×D4311yescharacteristic
996#396—431no—
997#396—431no—
998#396—431no—
999#396—431no—
1000#395C2×D4311yescharacteristic, complemented
1001#394—431no—
1002#394—431no—
1003#394—431no—
1004#394—431no—
1005#394—431no—
1006#394—431no—
1007#394—431no—
1008#394—431no—
1009#394—431no—
1010#394—431no—
1011#394—431no—
1012#394—431no—
1013#394—431no—
1014#393—431no—
1015#392—431no—
1016#392—431no—
1017#392—431no—
1018#392—431no—
1019#392—431no—
1020#392—431no—
1021#392—431no—
1022#392—431no—
1023#392—431no—
1024#392—431no—
1025#392—431no—
1026#392—431no—
1027#392—431no—
1028#392—431no—
1029#392—431no—
1030#391C2×D4311yescharacteristic, complemented
1031#390—431no—
1032#390—431no—
1033#389—431no—
1034#388—431no—
1035#388—431no—
1036#388—431no—
1037#388—431no—
1038#388—431no—
1039#388—431no—
1040#388—431no—
1041#388—431no—
1042#388C2×D4311yescharacteristic
1043#388C2×D4311yescharacteristic
1044#387—431no—
1045#387—431no—
1046#387C2×D4311yescharacteristic, complemented
1047#387C2×D4311yescharacteristic, complemented
1048#386—431no—
1049#386—431no—
1050#386—431no—
1051#386—431no—
1052#386—431no—
1053#386—431no—
1054#386—431no—
1055#386—431no—
1056#386—431no—
1057#386—431no—
1058#386—431no—
1059#386—431no—
1060#386—431no—
1061#386—431no—
1062#386—431no—
1063#386—431no—
1064#386—431no—
1065#386—431no—
1066#386—431no—
1067#386—431no—
1068#386—431no—
1069#386—431no—
1070#386—431no—
1071#386—431no—
1072#385—431no—
1073#385—431no—
1074#385—431no—
1075#385—431no—
1076#385—431no—
1077#385—431no—
1078#385—431no—
1079#385—431no—
1080#385—431no—
1081#385C2×D4311yescharacteristic
1082#383—431no—
1083#382—431no—
1084#381—431no—
1085#381—431no—
1086#380—431no—
1087#380—431no—
1088#380—431no—
1089#380—431no—
1090#380C2×D4311yescharacteristic
1091#379—431no—
1092C4×C22⋊C4—431no—
1093C2×#95—431no—
1094C43#3671311yescharacteristic, complemented, Sylow
1095C25—431no—
1096C2×#41—864no—
1097C2×#41—1722no—
1098C2×#41—1722no—
1099C22×Q8C22×D4311yescharacteristic
1100C22×D4—431no—
1101C22×D4—431no—
1102C22×D4—431no—
1103C22×D4—431no—
1104C22×D4—431no—
1105C22×D4—431no—
1106C22×D4—431no—
1107C22×D4—431no—
1108C22×D4—431no—
1109C22×D4—431no—
1110C22×D4—431no—
1111C22×D4—431no—
1112C22×D4—431no—
1113C22×D4—431no—
1114C22×D4—431no—
1115C22×D4—431no—
1116C22×D4—431no—
1117C22×D4—431no—
1118C22×D4—431no—
1119C22×D4—431no—
1120C22×D4—431no—
1121C22×D4—431no—
1122C22×D4—431no—
1123C22×D4—431no—
1124C22×D4—431no—
1125C23×C4—431no—
1126C23×C4—431no—
1127C23×C4—431no—
1128C23×C4—431no—
1129C23×C4—431no—
1130C23×C4—431no—
1131C23×C4—431no—
1132C23×C4—431no—
1133C23×C4—431no—
1134C23×C4—431no—
1135C23×C4—431no—
1136C23×C4—431no—
1137C23×C4—864no—
1138C23×C4—1722no—
1139C23×C4—1722no—
1140C23×C4C22×D4311yescharacteristic
1141#127—864no—
1142#127—1722no—
1143#125—24no—
1144#124—1722no—
1145#123—864no—
1146#123—864no—
1147#123—864no—
1148#123—864no—
1149#123—864no—
1150#123—864no—
1151#123—1722no—
1152C22⋊Q8—24no—
1153C22⋊Q8—864no—
1154#121—864no—
1155#121—864no—
1156#121—864no—
1157#121—864no—
1158#121—864no—
1159#121—864no—
1160#121—864no—
1161#121—864no—
1162#121—1722no—
1163#121—1722no—
1164#121—1722no—
1165#121—1722no—
1166#121—1722no—
1167#121—1722no—
1168#121—1722no—
1169#121—1722no—
1170#120—864no—
1171#120—864no—
1172#120—1722no—
1173#120—1722no—
1174#120—1722no—
1175C4×D4—438no—
1176C4×D4—864no—
1177C4×D4—864no—
1178C4×D4—864no—
1179C4×D4—864no—
1180#117—864no—
1181#117—864no—
1182C2×C4⋊C4—431no—
1183C2×C4⋊C4—431no—
1184C2×C4⋊C4—431no—
1185C2×C4⋊C4—431no—
1186C2×C4⋊C4—431no—
1187C2×C4⋊C4—431no—
1188C2×C4⋊C4—431no—
1189C2×C4⋊C4—431no—
1190C2×C4⋊C4—431no—
1191C2×C4⋊C4—431no—
1192C2×C4⋊C4—431no—
1193C2×C4⋊C4—431no—
1194C2×C4⋊C4—431no—
1195C2×C4⋊C4C22×D4311yescharacteristic
1196C2×C4⋊C4C22×D4311yescharacteristic
1197C2×C4⋊C4C22×D4311yescharacteristic
1198C2×C4⋊C4C22×D4311yescharacteristic
1199C2×C4⋊C4C22×D4311yescharacteristic
1200C2×C4⋊C4C22×D4311yescharacteristic
1201C2×C4⋊C4C22×D4311yescharacteristic
1202C2×C4⋊C4C22×D4311yescharacteristic
1203C2×C4⋊C4C22×D4311yescharacteristic
1204C2×C4⋊C4C22×D4311yescharacteristic
1205C2×C4⋊C4C22×D4311yescharacteristic
1206C2×C22⋊C4—431no—
1207C2×C22⋊C4—431no—
1208C2×C22⋊C4—431no—
1209C2×C22⋊C4—431no—
1210C2×C22⋊C4—431no—
1211C2×C22⋊C4—431no—
1212C2×C22⋊C4—431no—
1213C2×C22⋊C4—431no—
1214C2×C22⋊C4—431no—
1215C2×C22⋊C4—431no—
1216C2×C22⋊C4—431no—
1217C2×C22⋊C4—431no—
1218C2×C22⋊C4—431no—
1219C2×C22⋊C4—431no—
1220C2×C22⋊C4—431no—
1221C2×C22⋊C4—431no—
1222C2×C22⋊C4—431no—
1223C2×C22⋊C4—431no—
1224C2×C22⋊C4—431no—
1225C2×C22⋊C4—431no—
1226C2×C22⋊C4—431no—
1227C2×C22⋊C4—431no—
1228C2×C22⋊C4—431no—
1229C2×C22⋊C4—431no—
1230C2×C22⋊C4—431no—
1231C2×C22⋊C4—431no—
1232C2×C22⋊C4—431no—
1233C2×C22⋊C4—431no—
1234C2×C22⋊C4—431no—
1235C2×C22⋊C4—431no—
1236C2×C22⋊C4—431no—
1237C2×C22⋊C4—431no—
1238C2×C22⋊C4—431no—
1239C2×C22⋊C4—431no—
1240C2×C22⋊C4—431no—
1241C2×C22⋊C4—431no—
1242C2×C22⋊C4—431no—
1243C2×C22⋊C4—431no—
1244C2×C22⋊C4—431no—
1245C2×C22⋊C4—431no—
1246C2×C22⋊C4—431no—
1247C2×C22⋊C4—431no—
1248C2×C22⋊C4—431no—
1249C2×C22⋊C4—431no—
1250C2×C22⋊C4—431no—
1251C2×C22⋊C4—431no—
1252C2×C22⋊C4—431no—
1253C2×C22⋊C4—431no—
1254C2×C22⋊C4C22×D4311yescharacteristic
1255C2×C22⋊C4C22×D4311yescharacteristic
1256C2×C22⋊C4C22×D4311yescharacteristic
1257C2×C22⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4C22×D4311yescharacteristic
1259C2×C22⋊C4C22×D4311yescharacteristic
1260C2×C42—431no—
1261C2×C42—431no—
1262C2×C42—431no—
1263C2×C42C22×D4311yescharacteristic
1264C2×C42C22×D4311yescharacteristic
1265#95—431no—
1266#95—431no—
1267#95—431no—
1268#95—431no—
1269#95—431no—
1270#95—431no—
1271#95—431no—
1272#95—431no—
1273#95—431no—
1274#95—431no—
1275#95—431no—
1276#95—431no—
1277#95—431no—
1278#95—431no—
1279#95—431no—
1280#95—431no—
1281#95—431no—
1282#95—431no—
1283#95C22×D4311yescharacteristic
1284#95C22×D4311yescharacteristic
1285#95C22×D4311yescharacteristic
1286#95C22×D4311yescharacteristic
1287#95C22×D4311yescharacteristic
1288#95C22×D4311yescharacteristic
1289#95C22×D4311yescharacteristic
1290#95C22×D4311yescharacteristic
1291#95C22×D4311yescharacteristic
1292#95C22×D4311yescharacteristic
1293#95C22×D4311yescharacteristic
1294#95C22×D4311yescharacteristic
1295#95C22×D4311yescharacteristic
1296#95C22×D4311yescharacteristic
1297C24—431no—
1298C24—431no—
1299C24—431no—
1300C24—431no—
1301C24—431no—
1302C24—431no—
1303C24—431no—
1304C24—862no—
1305C24—862no—
1306C24—862no—
1307C24—1721no—
1308C24—1721no—
1309C24—1721no—
1310C24—1721no—
1311C24C23×D4311yescharacteristic
1312#41—17216no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—41no—
1316C2×D4—434no—
1317C2×D4—862no—
1318C2×D4—862no—
1319C2×D4—862no—
1320C2×D4—862no—
1321C2×D4—862no—
1322C2×D4—862no—
1323C2×D4—862no—
1324C2×D4—862no—
1325C2×D4—862no—
1326C2×D4—862no—
1327C2×D4—862no—
1328C2×D4—862no—
1329C2×D4—862no—
1330C2×D4—862no—
1331C2×D4—862no—
1332C2×D4—862no—
1333C2×D4—862no—
1334C2×D4—862no—
1335C2×D4—862no—
1336C2×D4—862no—
1337C2×D4—862no—
1338C2×D4—862no—
1339C2×D4—862no—
1340C2×D4—862no—
1341C2×D4—862no—
1342C2×D4—862no—
1343C2×D4—1721no—
1344C2×D4—1721no—
1345C2×D4—1721no—
1346C2×D4—1721no—
1347C2×D4—1721no—
1348C2×D4—1721no—
1349C2×D4—1721no—
1350C2×D4—1721no—
1351C2×D4—1721no—
1352C2×D4—1721no—
1353C2×D4—1721no—
1354C2×D4—1721no—
1355C2×D4—1721no—
1356C2×D4—1721no—
1357C2×D4—1721no—
1358C2×D4—1721no—
1359C2×D4—1721no—
1360C2×D4—1721no—
1361C2×D4—1721no—
1362C2×D4—1721no—
1363C2×D4—1721no—
1364C2×D4—1721no—
1365C2×D4—1721no—
1366C2×D4—1721no—
1367C2×D4—1721no—
1368C2×D4—1721no—
1369C2×D4—1721no—
1370C2×D4—1721no—
1371C2×D4—1721no—
1372C2×D4—1721no—
1373C2×D4—1721no—
1374C2×D4—1721no—
1375C2×D4—1721no—
1376C2×D4—1721no—
1377C2×D4—1721no—
1378C2×D4—1721no—
1379C2×D4—1721no—
1380C2×D4—1721no—
1381C2×D4—1721no—
1382C2×D4—1721no—
1383C2×D4—1721no—
1384C2×D4—1721no—
1385C2×D4—1721no—
1386C2×D4—1721no—
1387C2×D4—1721no—
1388C2×D4—1721no—
1389C2×D4—1721no—
1390C2×D4—1721no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—41no—
1394C22×C4—431no—
1395C22×C4—431no—
1396C22×C4—434no—
1397C22×C4—434no—
1398C22×C4—431no—
1399C22×C4—431no—
1400C22×C4—431no—
1401C22×C4—431no—
1402C22×C4—431no—
1403C22×C4—431no—
1404C22×C4—431no—
1405C22×C4—862no—
1406C22×C4—862no—
1407C22×C4—862no—
1408C22×C4—862no—
1409C22×C4—862no—
1410C22×C4—862no—
1411C22×C4—862no—
1412C22×C4—862no—
1413C22×C4—862no—
1414C22×C4—862no—
1415C22×C4—862no—
1416C22×C4—862no—
1417C22×C4—1721no—
1418C22×C4—1721no—
1419C22×C4—1721no—
1420C22×C4—1721no—
1421C22×C4—1721no—
1422C22×C4—1721no—
1423C22×C4—1721no—
1424C22×C4—1721no—
1425C22×C4—1721no—
1426C22×C4—1721no—
1427C22×C4—1721no—
1428C22×C4—1721no—
1429C22×C4—1721no—
1430C22×C4—1721no—
1431C22×C4—1721no—
1432C22×C4—1721no—
1433C22×C4—1721no—
1434C22×C4—1721no—
1435C22×C4—1721no—
1436C22×C4—1721no—
1437C22×C4—17216no—
1438C22×C4—1721no—
1439C22×C4—1721no—
1440C22×C4C23×D4311yescharacteristic
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443C22×C4C23×D4311yescharacteristic
1444C22×C4C23×D4311yescharacteristic
1445C22×C4C23×D4311yescharacteristic
1446C22×C4C23×D4311yescharacteristic
1447C22×C4C23×D4311yescharacteristic
1448C22×C4C23×D4311yescharacteristic
1449C22×C4C23×D4311yescharacteristic
1450C22×C4C23×D4311yescharacteristic
1451C22×C4C23×D4311yescharacteristic
1452C22×C4C23×D4311yescharacteristic
1453C22×C4C23×D4311yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—41no—
1463C4⋊C4—41no—
1464C4⋊C4—862no—
1465C4⋊C4—862no—
1466C4⋊C4—862no—
1467C4⋊C4—862no—
1468C4⋊C4—862no—
1469C4⋊C4—1721no—
1470C4⋊C4—1721no—
1471C4⋊C4—1721no—
1472C4⋊C4—1721no—
1473C4⋊C4—1721no—
1474C4⋊C4—1721no—
1475C4⋊C4—1721no—
1476C4⋊C4—1721no—
1477C4⋊C4D4×D4314yes—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—41no—
1484C22⋊C4—434no—
1485C22⋊C4—434no—
1486C22⋊C4—862no—
1487C22⋊C4—862no—
1488C22⋊C4—862no—
1489C22⋊C4—862no—
1490C22⋊C4—862no—
1491C22⋊C4—862no—
1492C22⋊C4—862no—
1493C22⋊C4—862no—
1494C22⋊C4—862no—
1495C22⋊C4—862no—
1496C22⋊C4—862no—
1497C22⋊C4—862no—
1498C22⋊C4—862no—
1499C22⋊C4—862no—
1500C22⋊C4—862no—
1501C22⋊C4—862no—
1502C22⋊C4—862no—
1503C22⋊C4—862no—
1504C22⋊C4—1721no—
1505C22⋊C4—1721no—
1506C22⋊C4—1721no—
1507C22⋊C4—1721no—
1508C22⋊C4—1721no—
1509C22⋊C4—1721no—
1510C22⋊C4—1721no—
1511C22⋊C4—1721no—
1512C22⋊C4—1721no—
1513C22⋊C4—1721no—
1514C22⋊C4—1721no—
1515C22⋊C4—1721no—
1516C22⋊C4—1721no—
1517C22⋊C4—1721no—
1518C22⋊C4—1721no—
1519C22⋊C4—1721no—
1520C22⋊C4—1721no—
1521C22⋊C4—1721no—
1522C22⋊C4—1721no—
1523C22⋊C4—1721no—
1524C22⋊C4—1721no—
1525C22⋊C4—1721no—
1526C22⋊C4—1721no—
1527C22⋊C4—1721no—
1528C22⋊C4—1721no—
1529C22⋊C4—1721no—
1530C22⋊C4—1721no—
1531C22⋊C4—1721no—
1532C42—22no—
1533C42—41no—
1534C42—434no—
1535C42—862no—
1536C42—1721no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—432no—
1544C23—432no—
1545C23—432no—
1546C23—861no—
1547C23—861no—
1548C23—861no—
1549C23—861no—
1550C23—861no—
1551C23—861no—
1552C23—861no—
1553C23—861no—
1554C23—861no—
1555C23—861no—
1556C23—861no—
1557C23—861no—
1558C23—861no—
1559C23—861no—
1560C23—861no—
1561C23—861no—
1562C23—861no—
1563C23—861no—
1564C23—861no—
1565C23—861no—
1566C23—861no—
1567C23—861no—
1568C23—861no—
1569C23—861no—
1570C23—861no—
1571C23—861no—
1572C23—861no—
1573C23—861no—
1574C23—861no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—861no—
1580C23—861no—
1581C23—861no—
1582C23—861no—
1583C23—861no—
1584C23—861no—
1585C23—861no—
1586C23—861no—
1587C23—861no—
1588C23—861no—
1589C23—861no—
1590C23—861no—
1591C23—861no—
1592C23—1724no—
1593C23—1724no—
1594C23—1724no—
1595C23—1724no—
1596C23—1724no—
1597C23—1724no—
1598C23—1724no—
1599C23#1306337112yes—
1600C23C24×D4311yescharacteristic
1601Q8—44no—
1602D4—3442no—
1603D4—3442no—
1604D4—3442no—
1605D4—3442no—
1606D4—3442no—
1607D4—3442no—
1608D4—3442no—
1609D4—3442no—
1610D4—3442no—
1611D4—3442no—
1612D4—3442no—
1613D4—3442no—
1614D4—3442no—
1615D4—3442no—
1616D4—3442no—
1617D4—3442no—
1618D4—3442no—
1619D4—1724no—
1620D4—1724no—
1621D4—1724no—
1622D4—1724no—
1623D4—1724no—
1624D4—1724no—
1625D4—1724no—
1626D4—1724no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—44no—
1666C2×C4—432no—
1667C2×C4—432no—
1668C2×C4—868no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
1678C2×C4—861no—
1679C2×C4—861no—
1680C2×C4—861no—
1681C2×C4—861no—
1682C2×C4—861no—
1683C2×C4—861no—
1684C2×C4—861no—
1685C2×C4—861no—
1686C2×C4—861no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—861no—
1693C2×C4—861no—
1694C2×C4—3442no—
1695C2×C4—3442no—
1696C2×C4—3442no—
1697C2×C4—3442no—
1698C2×C4—1724no—
1699C2×C4—1724no—
1700C2×C4—1724no—
1701C2×C4—1724no—
1702C2×C4—1724no—
1703C2×C4—1724no—
1704C2×C4—1724no—
1705C2×C4C2×D4×D4312yes—
1706C2×C4C2×D4×D4312yes—
1707C2×C4C2×D4×D4312yes—
1708C2×C4#1306337112yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—862no—
1717C22—862no—
1718C22—862no—
1719C22—862no—
1720C22—862no—
1721C22—862no—
1722C22—862no—
1723C22—862no—
1724C22—862no—
1725C22—17216no—
1726C22—1721no—
1727C22—1721no—
1728C22—1721no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22—1721no—
1736C22—1721no—
1737C22—1721no—
1738C22—1721no—
1739C22—1721no—
1740C22—1721no—
1741C22—1721no—
1742C22—1721no—
1743C22—1721no—
1744C22—1721no—
1745C22—1721no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
1750C22—1721no—
1751C22—1721no—
1752C22—1721no—
1753C22—1721no—
1754C22—1721no—
1755C22—1721no—
1756C22—1721no—
1757C22—1721no—
1758C22—1721no—
1759C22—1721no—
1760C22—1721no—
1761C22—1721no—
1762C22—1721no—
1763C22—1721no—
1764C22—1721no—
1765C22—1721no—
1766C22C22×D4×D4311yescharacteristic
1767C22H(5,𝔽2)×D4311yescharacteristic
1768C22C2×#1306337111yescharacteristic
1769C22C2×#1306337111yescharacteristic
1770C22#1458373611yescharacteristic
1771C22#1458373611yescharacteristic
1772C22#1458373611yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—22no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—862no—
1788C4—862no—
1789C4—1721no—
1790C4—1721no—
1791C4—1721no—
1792C4—1721no—
1793C4—1721no—
1794C4—1721no—
1795C4—1721no—
1796C2—42no—
1797C2—3441no—
1798C2—3441no—
1799C2—3441no—
1800C2—3441no—
1801C2—1722no—
1802C2—1722no—
1803C2—1722no—
1804C2#1914792711yescharacteristic
1805C2#1914822511yescharacteristic
1806C2#1914826111yescharacteristic
1807C2#1914877111yescharacteristic
1808C2#1914879011yescharacteristic
1809C2#1914885711yescharacteristic
1810C2#1914890511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2690C2
hypercenter#2690D43
hypocenterC43#36713
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2690

Complements

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

NH ≅ G/Ntype
1. C2×#14583505C2semidirect
2. C2×#14583412C2semidirect
3. #19142890C2semidirect
4. #19142878C2semidirect
5. #19141109C2semidirect
6. #19141105C2semidirect
7. #19141038C2semidirect
8. #19141011C2semidirect
9. #19140919C2semidirect
10. #19140892C2semidirect
11. #19140886C2semidirect
12. #19140864C2semidirect
13. #19140864C2semidirect
14. #19140845C2semidirect
15. #19140838C2semidirect
16. #19140828C2semidirect
17. #19140810C2semidirect
18. #19140810C2semidirect
19. #19140805C2semidirect
20. #19140488C2semidirect
21. #19140445C2semidirect
22. #19140274C2semidirect
23. #19140212C2semidirect
24. #19140164C2semidirect
25. #19140159C2semidirect
26. #19139552C2semidirect
27. #19139493C2semidirect
28. #19138216C2semidirect
29. #19138206C2semidirect
30. #19137227C2semidirect
31. C43×#2690C2semidirect
37. C2×#13063314C22semidirect
44. C2×#13063310C22semidirect
45. C2×#13063310C22semidirect
53. C2×#13063300C22semidirect
54. C2×#13063300C22semidirect
55. C2×#13063300C22semidirect
56. C2×#13063300C22semidirect
70. C2×#13063287C22semidirect
74. C2×#13063282C22semidirect
75. #14582840C22semidirect
77. #14582834C22semidirect
78. #14582834C22semidirect
79. #14582833C22semidirect
80. #14582830C22semidirect
82. #14582828C22semidirect
83. #14582825C22semidirect
85. #14582821C22semidirect
86. #14582821C22semidirect
87. #14582821C22semidirect
92. #14582817C22semidirect
93. #14582817C22semidirect
96. #14582816C22semidirect
97. #14582816C22semidirect
98. #14582816C22semidirect
101. #14582810C22semidirect
109. #14582809C22semidirect
110. #14582809C22semidirect
111. #14582809C22semidirect
112. #14582809C22semidirect
119. #14582794C22semidirect
122. #14582790C22semidirect
123. #14582790C22semidirect
125. #14582788C22semidirect
126. #14582788C22semidirect
127. #14582788C22semidirect
128. #14582785C22semidirect
129. #14582781C22semidirect
143. #14582777C22semidirect
144. #14582777C22semidirect
145. #14582777C22semidirect
146. #14582777C22semidirect
147. #14582777C22semidirect
148. #14582777C22semidirect
149. #14582777C22semidirect
154. #14582773C22semidirect
155. #14582773C22semidirect
156. #14582773C22semidirect
160. #14582770C22semidirect
161. #14582770C22semidirect
162. #14582770C22semidirect
163. #14582766C22semidirect
164. #14582763C22semidirect
167. #14582758C22semidirect
168. #14582758C22semidirect
172. C4×(C2×D43)⋊C4C22semidirect
173. #95×D43C22semidirect
174. C2×#125×C43C22semidirect
176. C43×#400C22semidirect
177. C43×#400C22semidirect
178. C43×#398C22semidirect
181. C43×#395C22semidirect
182. C43×#391C22semidirect
185. C43×#387C22semidirect
186. C43×#387C22semidirect
267. #13063287D4semidirect
897. #2690D43semidirect
942. C2×#125C2×D43semidirect
983. #400C2×D43semidirect
984. #400C2×D43semidirect
990. #398C2×D43semidirect
1000. #395C2×D43semidirect
1030. #391C2×D43semidirect
1046. #387C2×D43semidirect
1047. #387C2×D43semidirect
1094. C43#36713semidirect

Maximal subgroups

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

subgroupindex
C2×#145835052
C2×#145834122
#191428902
#191428782
#191411092
#191411052
#191410382
#191410112
#191409192
#191408922
#191408862
#191408642
#191408452
#191408382
#191408282
#191408102
#191408052
#191404882
#191404452
#191402742
#191402122
#191401642
#191401592
#191395522
#191394932
#191382162
#191382062
#191372272
C43×#26902
#3671343