Finite Group Databasebeta

← #25305346

Subgroups — #25305346

Order 11008.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1496 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142924C211yesmaximal, characteristic, complemented
2#19142908C211yesmaximal, characteristic, complemented
3#19142307C211yesmaximal, characteristic, complemented
4#19142206C211yesmaximal, characteristic, complemented
5#19142100C211yesmaximal, characteristic, complemented
6#19142044C211yesmaximal, characteristic, complemented
7#19141821C211yesmaximal, characteristic, complemented
8#19141743C211yesmaximal, characteristic, complemented
9#19141655C211yesmaximal, characteristic, complemented
10#19141511C211yesmaximal, characteristic, complemented
11#19141432C211yesmaximal, characteristic, complemented
12#19141313C211yesmaximal, characteristic, complemented
13#19141307C211yesmaximal, characteristic, complemented
14#19141286C211yesmaximal, characteristic, complemented
15#19141069C211yesmaximal, characteristic, complemented
16#19141037C211yesmaximal, characteristic, complemented
17#19140889C211yesmaximal, characteristic, complemented
18#19140625C211yesmaximal, characteristic, complemented
19#19140620C211yesmaximal, characteristic, complemented
20#19140176C211yesmaximal, characteristic, complemented
21#19139905C211yesmaximal, characteristic, complemented
22#19139687C211yesmaximal, characteristic, complemented
23#19139553C211yesmaximal, characteristic, complemented
24#19139440C211yesmaximal, characteristic, complemented
25#19139428C211yesmaximal, characteristic, complemented
26#19138277C211yesmaximal, characteristic, complemented
27#19138006C211yesmaximal, characteristic, complemented
28#19137354C211yesmaximal, characteristic, complemented
29#19137221C211yesmaximal, characteristic, complemented
30#19137035C211yesmaximal, characteristic, complemented
31C43×#2703C211yesmaximal, characteristic, complemented
32C2×#13063318C2211yescharacteristic
33C2×#13063312C2211yescharacteristic
34C2×#13063308C2211yescharacteristic
35C2×#13063306C2211yescharacteristic
36C2×#13063302C2211yescharacteristic
37C2×#13063297C2211yescharacteristic
38C2×#13063297C2211yescharacteristic
39C2×#13063297C2211yescharacteristic
40C2×#13063297C2211yescharacteristic
41C2×D4×Dic43C2211yescharacteristic
42C2×D4×Dic43C2211yescharacteristic
43C2×#13063281C2211yescharacteristic
44C22×C4×Dic43C2211yescharacteristic
45C43⋊#401C2211yescharacteristic
46#14582840C2211yescharacteristic
47#14582840C2211yescharacteristic
48#14582840C2211yescharacteristic
49#14582840C2211yescharacteristic
50#14582837C2211yescharacteristic
51#14582835C2211yescharacteristic
52#14582833C2211yescharacteristic
53#14582833C2211yescharacteristic
54#14582832C2211yescharacteristic
55#14582832C2211yescharacteristic
56#14582830C2211yescharacteristic
57#14582830C2211yescharacteristic
58#14582828C2211yescharacteristic
59#14582828C2211yescharacteristic
60#14582828C2211yescharacteristic
61#14582827C2211yescharacteristic
62#14582827C2211yescharacteristic
63#14582827C2211yescharacteristic
64#14582827C2211yescharacteristic
65#14582827C2211yescharacteristic
66#14582827C2211yescharacteristic
67#14582827C2211yescharacteristic
68#14582824C2211yescharacteristic
69#14582824C2211yescharacteristic
70#14582823C2211yescharacteristic
71#14582822C2211yescharacteristic
72#14582821C2211yescharacteristic
73#14582819C2211yescharacteristic
74#14582819C2211yescharacteristic
75#14582815C2211yescharacteristic
76#14582815C2211yescharacteristic
77#14582815C2211yescharacteristic
78#14582814C2211yescharacteristic
79#14582813C2211yescharacteristic
80#14582813C2211yescharacteristic
81#14582813C2211yescharacteristic
82#14582813C2211yescharacteristic
83#14582812C2211yescharacteristic
84#14582811C2211yescharacteristic
85#14582807C2211yescharacteristic
86#14582807C2211yescharacteristic
87#14582803C2211yescharacteristic
88#14582802C2211yescharacteristic
89#14582799C2211yescharacteristic
90#14582799C2211yescharacteristic
91#14582799C2211yescharacteristic
92#14582799C2211yescharacteristic
93#14582796C2211yescharacteristic
94#14582794C2211yescharacteristic
95#14582794C2211yescharacteristic
96#14582793C2211yescharacteristic
97#14582793C2211yescharacteristic
98#14582793C2211yescharacteristic
99#14582793C2211yescharacteristic
100#14582793C2211yescharacteristic
101#14582793C2211yescharacteristic
102#14582793C2211yescharacteristic
103#14582792C2211yescharacteristic
104#14582791C2211yescharacteristic
105#14582789C2211yescharacteristic
106#14582789C2211yescharacteristic
107#14582789C2211yescharacteristic
108#14582787C2211yescharacteristic
109#14582787C2211yescharacteristic
110#14582787C2211yescharacteristic
111#14582786C2211yescharacteristic
112#14582786C2211yescharacteristic
113#14582786C2211yescharacteristic
114#14582785C2211yescharacteristic
115#14582784C2211yescharacteristic
116#14582784C2211yescharacteristic
117#14582783C2211yescharacteristic
118#14582783C2211yescharacteristic
119#14582782C2211yescharacteristic
120#14582782C2211yescharacteristic
121#14582782C2211yescharacteristic
122#14582781C2211yescharacteristic
123#14582781C2211yescharacteristic
124#14582780C2211yescharacteristic
125#14582780C2211yescharacteristic
126#14582779C2211yescharacteristic
127#14582779C2211yescharacteristic
128#14582779C2211yescharacteristic
129#14582779C2211yescharacteristic
130#14582779C2211yescharacteristic
131#14582779C2211yescharacteristic
132#14582779C2211yescharacteristic
133#14582779C2211yescharacteristic
134#14582779C2211yescharacteristic
135#14582778C2211yescharacteristic
136#14582776C2211yescharacteristic
137#14582776C2211yescharacteristic
138#14582775C2211yescharacteristic
139#14582775C2211yescharacteristic
140#14582775C2211yescharacteristic
141#14582775C2211yescharacteristic
142#14582774C2211yescharacteristic
143#14582774C2211yescharacteristic
144#14582772C2211yescharacteristic
145#14582772C2211yescharacteristic
146#14582772C2211yescharacteristic
147#14582772C2211yescharacteristic
148#14582771C2211yescharacteristic
149#14582771C2211yescharacteristic
150#14582771C2211yescharacteristic
151#14582771C2211yescharacteristic
152#14582771C2211yescharacteristic
153#14582766C2211yescharacteristic
154#14582766C2211yescharacteristic
155#14582765C2211yescharacteristic
156#14582763C2211yescharacteristic
157#14582761C2211yescharacteristic
158#14582760C2211yescharacteristic
159#14582760C2211yescharacteristic
160#14582758C2211yescharacteristic
161#14582757C2211yescharacteristic
162#14582757C2211yescharacteristic
163#14582757C2211yescharacteristic
164#14582757C2211yescharacteristic
165#14582750C2211yescharacteristic
166C22⋊C4×Dic43C2211yescharacteristic
167C22⋊C4×Dic43C2211yescharacteristic
168C22⋊C4×Dic43C2211yescharacteristic
169C4×(C2×D43)⋊C4C2211yescharacteristic
170#14582744C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C2×#123×C43C2211yescharacteristic
173C2×#121×C43C2211yescharacteristic
174C43×#400C2211yescharacteristic
175C43×#397C2211yescharacteristic
176C43×#394C2211yescharacteristic
177C43×#392C2211yescharacteristic
178C43×#392C2211yescharacteristic
179C43×#392C2211yescharacteristic
180C43×#390C2211yescharacteristic
181C43×#388C2211yescharacteristic
182C43×#388C2211yescharacteristic
183C43×#386C2211yescharacteristic
184C43×#386C2211yescharacteristic
185C43×#386C2211yescharacteristic
186C43×#380C2211yescharacteristic
187C22×Dic86C2311yescharacteristic
188C22×C22⋊D43C2311yescharacteristic
189C22×C22⋊D43C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C23×Dic43C2311yescharacteristic
193C23×Dic43C2311yescharacteristic
194C23×Dic43C2311yescharacteristic
195C23×Dic43C2311yescharacteristic
196C23×Dic43C2311yescharacteristic
197C23×Dic43C2311yescharacteristic
198C22×C4×D43C2311yescharacteristic
199#13063318—42no—
200#13063312—42no—
201#13063308—42no—
202#13063306—42no—
203#13063302—42no—
204#13063297—24no—
205#13063297—42no—
206#13063297—42no—
207#13063297—42no—
208D4×Dic43—24no—
209D4×Dic43—24no—
210#13063281—42no—
211C2×C4⋊Dic43C2311yescharacteristic
212C2×C4⋊Dic43C2311yescharacteristic
213C2×C4⋊Dic43C2311yescharacteristic
214C2×C4⋊Dic43C2311yescharacteristic
215C2×C4⋊Dic43C2311yescharacteristic
216C2×Dic43⋊C4C2311yescharacteristic
217C2×Dic43⋊C4C2311yescharacteristic
218C2×Dic43⋊C4C2311yescharacteristic
219C2×Dic43⋊C4C2311yescharacteristic
220C2×Dic43⋊C4C2311yescharacteristic
221C2×Dic43⋊C4C2311yescharacteristic
222C2×Dic43⋊C4C2311yescharacteristic
223C2×Dic43⋊C4C2311yescharacteristic
224C2×Dic43⋊C4C2311yescharacteristic
225C2×Dic43⋊C4C2311yescharacteristic
226C2×Dic43⋊C4C2311yescharacteristic
227C2×Dic43⋊C4C2311yescharacteristic
228C2×Dic43⋊C4C2311yescharacteristic
229C2×Dic43⋊C4C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×C22⋊Dic43C2311yescharacteristic
237C2×C22⋊Dic43C2311yescharacteristic
238C2×C22⋊Dic43C2311yescharacteristic
239C2×C22⋊Dic43C2311yescharacteristic
240C2×C22⋊Dic43C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
242C2×C22⋊Dic43C2311yescharacteristic
243C2×C22⋊Dic43C2311yescharacteristic
244C2×C22⋊Dic43C2311yescharacteristic
245C2×C22⋊Dic43C2311yescharacteristic
246C2×C22⋊Dic43C2311yescharacteristic
247C2×C22⋊Dic43C2311yescharacteristic
248C2×C22⋊Dic43C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
253C2×C22⋊Dic43C2311yescharacteristic
254C2×C22⋊Dic43C2311yescharacteristic
255C2×C22⋊Dic43C2311yescharacteristic
256C2×C22⋊Dic43C2311yescharacteristic
257C2×C22⋊Dic43C2311yescharacteristic
258C2×(C2×D43)⋊C4C2311yescharacteristic
259C2×(C2×D43)⋊C4C2311yescharacteristic
260C2×(C2×D43)⋊C4C2311yescharacteristic
261C2×(C2×D43)⋊C4C2311yescharacteristic
262C2×(C2×D43)⋊C4C2311yescharacteristic
263C2×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
268C2×C4×Dic43—42no—
269C2×C4×Dic43C2311yescharacteristic
270C2×C4×Dic43C2311yescharacteristic
271C2×C4×Dic43C2311yescharacteristic
272C2×C4×Dic43C2311yescharacteristic
273C2×C4×Dic43C2311yescharacteristic
274C2×C4×Dic43C2311yescharacteristic
275C2×C4×Dic43C2311yescharacteristic
276C2×C4×Dic43C2311yescharacteristic
277C2×C4×Dic43C2311yescharacteristic
278C43⋊#95C2311yescharacteristic
279C43⋊#95C2311yescharacteristic
280C43⋊#95C2311yescharacteristic
281C43⋊#95C2311yescharacteristic
282C43⋊#95C2311yescharacteristic
283C43⋊#95C2311yescharacteristic
284C43⋊#95C2311yescharacteristic
285C43⋊#95C2311yescharacteristic
286C43⋊#95C2311yescharacteristic
287C43⋊#95C2311yescharacteristic
288C43⋊#95C2311yescharacteristic
289C43⋊#95C2311yescharacteristic
290C43⋊#95C2311yescharacteristic
291C43⋊#95C2311yescharacteristic
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C22×D4×C43C2311yescharacteristic
321C22×D4×C43C2311yescharacteristic
322C22×D4×C43C2311yescharacteristic
323C22×D4×C43C2311yescharacteristic
324C22×D4×C43C2311yescharacteristic
325C22×D4×C43C2311yescharacteristic
326C23×C4×C43C2311yescharacteristic
327C23×C4×C43C2311yescharacteristic
328#123×C43—42no—
329#121×C43—42no—
330C2×C4⋊C4×C43C2311yescharacteristic
331C2×C4⋊C4×C43C2311yescharacteristic
332C2×C4⋊C4×C43C2311yescharacteristic
333C2×C4⋊C4×C43C2311yescharacteristic
334C2×C22⋊C4×C43C2311yescharacteristic
335C2×C22⋊C4×C43C2311yescharacteristic
336C2×C22⋊C4×C43C2311yescharacteristic
337C2×C22⋊C4×C43C2311yescharacteristic
338C2×C22⋊C4×C43C2311yescharacteristic
339C2×C22⋊C4×C43C2311yescharacteristic
340C2×C22⋊C4×C43C2311yescharacteristic
341C2×C22⋊C4×C43C2311yescharacteristic
342C2×C22⋊C4×C43C2311yescharacteristic
343C2×C22⋊C4×C43C2311yescharacteristic
344C2×C22⋊C4×C43C2311yescharacteristic
345C2×C22⋊C4×C43C2311yescharacteristic
346C2×C22⋊C4×C43C2311yescharacteristic
347C2×C22⋊C4×C43C2311yescharacteristic
348C2×C42×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357C24×C43C2411yescharacteristic
358C24×C43C2411yescharacteristic
359C24×C43C2411yescharacteristic
360C24×C43C2411yescharacteristic
361C23×D43C2411yescharacteristic
362C2×D4×C43—22no—
363C2×D4×C43—22no—
364C2×D4×C43—22no—
365C2×D4×C43—22no—
366C2×D4×C43—22no—
367C2×D4×C43—22no—
368C2×D4×C43—41no—
369C2×D4×C43—41no—
370C2×D4×C43—41no—
371C2×D4×C43—41no—
372C2×D4×C43—41no—
373C2×D4×C43—41no—
374C2×D4×C43—41no—
375C2×D4×C43—41no—
376C2×D4×C43—41no—
377C2×D4×C43—41no—
378C2×D4×C43—41no—
379C2×D4×C43—41no—
380C22×C4×C43—22no—
381C22×C4×C43—41no—
382C22×C4×C43—41no—
383C22×C4×C43—41no—
384C22×C4×C43—41no—
385C22×C4×C43—41no—
386C22×C4×C43C2411yescharacteristic
387C22×C4×C43C2411yescharacteristic
388C22×C4×C43C2411yescharacteristic
389C22×C4×C43C2411yescharacteristic
390C22×C4×C43C2411yescharacteristic
391C22×C4×C43C2411yescharacteristic
392C22×C4×C43C2411yescharacteristic
393C22×C4×C43C2411yescharacteristic
394C22×C4×C43C2411yescharacteristic
395C22×C4×C43C2411yescharacteristic
396C22×C4×C43C2411yescharacteristic
397C2×C22⋊D43—22no—
398C2×C22⋊D43—22no—
399C2×C22⋊D43—22no—
400C2×C22⋊D43—22no—
401C2×C22⋊D43—41no—
402C2×C22⋊D43—41no—
403C2×C22⋊D43—41no—
404C2×C22⋊D43—41no—
405C2×C22⋊D43—41no—
406C2×C22⋊D43—41no—
407C2×C22⋊D43—41no—
408C2×C22⋊D43—41no—
409C22×Dic43—22no—
410C22×Dic43—22no—
411C22×Dic43—22no—
412C22×Dic43—41no—
413C22×Dic43—41no—
414C22×Dic43—41no—
415C22×Dic43—41no—
416C22×Dic43—41no—
417C22×Dic43—41no—
418C22×Dic43—41no—
419C22×Dic43—41no—
420C22×Dic43—41no—
421C22×Dic43—41no—
422C22×Dic43—41no—
423C22×Dic43—41no—
424C22×Dic43—41no—
425C22×Dic43—41no—
426C22×Dic43#4114yes—
427C22×Dic43C2411yescharacteristic
428C22×Dic43C2411yescharacteristic
429C22×Dic43C2411yescharacteristic
430C22×Dic43C2411yescharacteristic
431C22×Dic43C2411yescharacteristic
432C22×Dic43C2411yescharacteristic
433C22×Dic43C2411yescharacteristic
434C22×Dic43C2411yescharacteristic
435C22×Dic43C2411yescharacteristic
436C22×Dic43C2411yescharacteristic
437C22×Dic43C2411yescharacteristic
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C2×C4×D43—41no—
443C2×C4×D43—41no—
444C2×C4×D43—41no—
445C2×Dic86—41no—
446C2×Dic86—41no—
447C2×Dic86—41no—
448C4⋊C4×C43—41no—
449C4⋊C4×C43—41no—
450C4⋊C4×C43—41no—
451C4⋊C4×C43—41no—
452C22⋊C4×C43—22no—
453C22⋊C4×C43—41no—
454C22⋊C4×C43—41no—
455C22⋊C4×C43—41no—
456C22⋊C4×C43—41no—
457C22⋊C4×C43—41no—
458C22⋊C4×C43—41no—
459C22⋊C4×C43—41no—
460C22⋊C4×C43—41no—
461C22⋊C4×C43—41no—
462C22⋊C4×C43—41no—
463C22⋊C4×C43—41no—
464C22⋊C4×C43—41no—
465C22⋊C4×C43—41no—
466C42×C43—41no—
467C22⋊Dic43—22no—
468C22⋊Dic43—22no—
469C22⋊Dic43—22no—
470C22⋊Dic43—22no—
471C22⋊Dic43—22no—
472C22⋊Dic43—22no—
473C22⋊Dic43—22no—
474C22⋊Dic43—22no—
475C22⋊Dic43—22no—
476C22⋊Dic43—22no—
477C22⋊Dic43—41no—
478C22⋊Dic43—41no—
479C22⋊Dic43—41no—
480C22⋊Dic43—41no—
481C22⋊Dic43—41no—
482C22⋊Dic43—41no—
483C22⋊Dic43—41no—
484C22⋊Dic43—41no—
485C22⋊Dic43—41no—
486C22⋊Dic43—41no—
487C22⋊Dic43—41no—
488C22⋊Dic43—41no—
489(C2×D43)⋊C4—22no—
490(C2×D43)⋊C4—41no—
491(C2×D43)⋊C4—41no—
492(C2×D43)⋊C4—41no—
493(C2×D43)⋊C4—41no—
494(C2×D43)⋊C4—41no—
495(C2×D43)⋊C4—41no—
496(C2×D43)⋊C4—41no—
497(C2×D43)⋊C4—41no—
498(C2×D43)⋊C4—41no—
499C4⋊Dic43—22no—
500C4⋊Dic43—22no—
501C4⋊Dic43—41no—
502C4⋊Dic43—41no—
503C4⋊Dic43—41no—
504Dic43⋊C4—22no—
505Dic43⋊C4—22no—
506Dic43⋊C4—22no—
507Dic43⋊C4—22no—
508Dic43⋊C4—41no—
509Dic43⋊C4—41no—
510Dic43⋊C4—41no—
511Dic43⋊C4—41no—
512Dic43⋊C4—41no—
513Dic43⋊C4—41no—
514Dic43⋊C4—41no—
515Dic43⋊C4—41no—
516Dic43⋊C4—41no—
517Dic43⋊C4—41no—
518Dic43⋊C4—41no—
519Dic43⋊C4—41no—
520Dic43⋊C4—41no—
521Dic43⋊C4—41no—
522Dic43⋊C4—41no—
523Dic43⋊C4—41no—
524C4×Dic43—22no—
525C4×Dic43—22no—
526C4×Dic43—22no—
527C4×Dic43—22no—
528C4×Dic43—41no—
529C4×Dic43—41no—
530C4×Dic43—41no—
531C4×Dic43—41no—
532C4×Dic43—41no—
533C23×C43—21no—
534C23×C43—21no—
535C23×C43—21no—
536C23×C43—21no—
537C23×C43—21no—
538C23×C43—21no—
539C23×C43—21no—
540C23×C43—21no—
541C23×C43—21no—
542C23×C43—21no—
543C23×C43—21no—
544C23×C43—21no—
545C23×C43—21no—
546C23×C43—21no—
547C23×C43—21no—
548C23×C43—21no—
549C23×C43—21no—
550C23×C43—21no—
551C23×C43—21no—
552C23×C43—21no—
553C23×C43—21no—
554C23×C43—21no—
555C23×C43—21no—
556C23×C43—21no—
557C23×C43—21no—
558C23×C43—21no—
559C23×C43C2×#4112yes—
560C23×C43H(5,𝔽2)12yes—
561C23×C43C2511yescharacteristic
562C22×D43—21no—
563C22×D43—21no—
564C22×D43—21no—
565C22×D43—21no—
566C22×D43—21no—
567C22×D43—21no—
568C22×D43—21no—
569D4×C43—44no—
570D4×C43—44no—
571D4×C43—82no—
572D4×C43—82no—
573D4×C43—82no—
574D4×C43—82no—
575C2×C4×C43—21no—
576C2×C4×C43—21no—
577C2×C4×C43—21no—
578C2×C4×C43—21no—
579C2×C4×C43—21no—
580C2×C4×C43—21no—
581C2×C4×C43—21no—
582C2×C4×C43—21no—
583C2×C4×C43—21no—
584C2×C4×C43—21no—
585C2×C4×C43—21no—
586C2×C4×C43—21no—
587C2×C4×C43—21no—
588C2×C4×C43—21no—
589C2×C4×C43—21no—
590C2×C4×C43—21no—
591C2×C4×C43—21no—
592C2×C4×C43—21no—
593C2×C4×C43—21no—
594C2×C4×C43—21no—
595C2×C4×C43—21no—
596C2×C4×C43—21no—
597C2×C4×C43—21no—
598C2×C4×C43—21no—
599C2×C4×C43—21no—
600C2×C4×C43—21no—
601C2×C4×C43—21no—
602C2×C4×C43—21no—
603C2×C4×C43—21no—
604C2×C4×C43—21no—
605C2×C4×C43—21no—
606C2×C4×C43—21no—
607C2×C4×C43—21no—
608C2×C4×C43—44no—
609C2×C4×C43—82no—
610C22⋊D43—82no—
611C22⋊D43—82no—
612C22⋊D43—82no—
613C22⋊D43—82no—
614C2×Dic43—21no—
615C2×Dic43—21no—
616C2×Dic43—21no—
617C2×Dic43—21no—
618C2×Dic43—21no—
619C2×Dic43—21no—
620C2×Dic43—21no—
621C2×Dic43—21no—
622C2×Dic43—21no—
623C2×Dic43—21no—
624C2×Dic43—21no—
625C2×Dic43—21no—
626C2×Dic43—21no—
627C2×Dic43—21no—
628C2×Dic43—21no—
629C2×Dic43—21no—
630C2×Dic43—21no—
631C2×Dic43—21no—
632C2×Dic43—21no—
633C2×Dic43—21no—
634C2×Dic43—21no—
635C2×Dic43—21no—
636C2×Dic43—21no—
637C2×Dic43—21no—
638C2×Dic43—21no—
639C2×Dic43—21no—
640C2×Dic43—21no—
641C2×Dic43—21no—
642C2×Dic43—21no—
643C2×Dic43—21no—
644C2×Dic43—21no—
645C2×Dic43—21no—
646C2×Dic43—21no—
647C2×Dic43—21no—
648C2×Dic43—21no—
649C2×Dic43—21no—
650C2×Dic43—21no—
651C2×Dic43—21no—
652C2×Dic43—21no—
653C2×Dic43—21no—
654C2×Dic43—21no—
655C2×Dic43—21no—
656C2×Dic43—44no—
657C2×Dic43—44no—
658C2×Dic43—44no—
659C2×Dic43—82no—
660C2×Dic43—82no—
661C2×Dic43—82no—
662C2×Dic43C2×#4112yes—
663C2×Dic43C2×#4112yes—
664C2×Dic43H(5,𝔽2)12yes—
665C4×D43—82no—
666Dic86—82no—
667#36789—431nomaximal, Sylow
668C22×C43—22no—
669C22×C43—22no—
670C22×C43—22no—
671C22×C43—22no—
672C22×C43—22no—
673C22×C43—22no—
674C22×C43—41no—
675C22×C43—41no—
676C22×C43—41no—
677C22×C43—41no—
678C22×C43—41no—
679C22×C43—41no—
680C22×C43—41no—
681C22×C43—41no—
682C22×C43—41no—
683C22×C43—41no—
684C22×C43—41no—
685C22×C43—41no—
686C22×C43—41no—
687C22×C43—41no—
688C22×C43—41no—
689C22×C43—41no—
690C22×C43—41no—
691C22×C43—41no—
692C22×C43—41no—
693C22×C43—41no—
694C22×C43—41no—
695C22×C43—41no—
696C22×C43C22×#4111yescharacteristic
697C22×C43C2×H(5,𝔽2)11yescharacteristic
698C22×C43C2×H(5,𝔽2)11yescharacteristic
699C22×C43#58511yescharacteristic
700C22×C43#58511yescharacteristic
701C22×C43#58511yescharacteristic
702C22×C43#58511yescharacteristic
703C2×D43—41no—
704C2×D43—41no—
705C2×D43—41no—
706C2×D43—41no—
707C2×D43—41no—
708C2×D43—41no—
709C2×D43—41no—
710C4×C43—41no—
711C4×C43—41no—
712C4×C43—41no—
713C4×C43—41no—
714C4×C43—41no—
715C4×C43—41no—
716C4×C43—41no—
717C4×C43—41no—
718C4×C43—41no—
719C4×C43—41no—
720C4×C43—41no—
721Dic43—22no—
722Dic43—22no—
723Dic43—22no—
724Dic43—41no—
725Dic43—41no—
726Dic43—41no—
727Dic43—41no—
728Dic43—41no—
729Dic43—41no—
730Dic43—41no—
731Dic43—41no—
732Dic43—41no—
733Dic43—41no—
734Dic43—41no—
735Dic43—41no—
736#2854—431no—
737#2852—431no—
738#2786—431no—
739#2778—431no—
740#2770—431no—
741#2766—431no—
742#2749—431no—
743#2744—431no—
744#2737—431no—
745#2723—431no—
746#2717—431no—
747#2708—431no—
748#2708—431no—
749#2706—431no—
750#2703D4311yescharacteristic, complemented
751#2691—431no—
752#2688—431no—
753#2676—431no—
754#2651—431no—
755#2650—431no—
756#2600—431no—
757#2576—431no—
758#2557—431no—
759#2543—431no—
760#2531—431no—
761#2530—431no—
762#2438—431no—
763#2414—431no—
764#2333—431no—
765#2318—431no—
766#2290—431no—
767C2×C43—42no—
768C2×C43—42no—
769C2×C43—81no—
770C2×C43—81no—
771C2×C43#345511yescharacteristic
772C2×C43#349411yescharacteristic
773C2×C43#350511yescharacteristic
774C2×C43#353311yescharacteristic
775C2×C43#354211yescharacteristic
776C2×C43#356011yescharacteristic
777C2×C43#356611yescharacteristic
778D43—81no—
779C2×#126—431no—
780C2×#124—431no—
781C2×#123—431no—
782C2×#123—431no—
783C2×#123C2×D4311yescharacteristic
784C2×C22⋊Q8—431no—
785C2×#121—431no—
786C2×#121—431no—
787C2×#121—431no—
788C2×#121—431no—
789C2×#121C2×D4311yescharacteristic
790C2×C4×D4—431no—
791C2×C4×D4—431no—
792C2×#117—431no—
793C22×C42—431no—
794#401—431no—
795#400—431no—
796#400—431no—
797#400—431no—
798#400—431no—
799#400—431no—
800#400C2×D4311yescharacteristic
801#399—431no—
802#398—431no—
803#398—431no—
804#398—431no—
805#398—431no—
806#398—431no—
807#398—431no—
808#397—431no—
809#397—431no—
810#397—431no—
811#397—431no—
812#397—431no—
813#397—431no—
814#397—431no—
815#397—431no—
816#397—431no—
817#397—431no—
818#397—431no—
819#397—431no—
820#397C2×D4311yescharacteristic
821#396—431no—
822#396—431no—
823#396—431no—
824#395—431no—
825#395—431no—
826#394—431no—
827#394—431no—
828#394—431no—
829#394—431no—
830#394—431no—
831#394—431no—
832#394—431no—
833#394—431no—
834#394C2×D4311yescharacteristic
835#393—431no—
836#393—431no—
837#392—431no—
838#392—431no—
839#392C2×D4311yescharacteristic
840#392C2×D4311yescharacteristic
841#392C2×D4311yescharacteristic
842#391—431no—
843#390—431no—
844#390—431no—
845#390—431no—
846#390—431no—
847#390—431no—
848#390C2×D4311yescharacteristic
849#389—431no—
850#389—431no—
851#389—431no—
852#388—431no—
853#388—431no—
854#388—431no—
855#388—431no—
856#388—431no—
857#388—431no—
858#388—431no—
859#388—431no—
860#388—431no—
861#388—431no—
862#388—431no—
863#388—431no—
864#388—431no—
865#388—431no—
866#388—431no—
867#388C2×D4311yescharacteristic
868#388C2×D4311yescharacteristic
869#387—431no—
870#387—431no—
871#387—431no—
872#387—431no—
873#387—431no—
874#387—431no—
875#387—431no—
876#387—431no—
877#387—431no—
878#387—431no—
879#387—431no—
880#387—431no—
881#387—431no—
882#387—431no—
883#387—431no—
884#386—431no—
885#386—431no—
886#386—431no—
887#386—431no—
888#386—431no—
889#386—431no—
890#386—431no—
891#386—431no—
892#386—431no—
893#386—431no—
894#386—431no—
895#386—431no—
896#386—431no—
897#386—431no—
898#386—431no—
899#386—431no—
900#386C2×D4311yescharacteristic
901#386C2×D4311yescharacteristic
902#386C2×D4311yescharacteristic
903#385—431no—
904#385—431no—
905#385—431no—
906#385—431no—
907#385—431no—
908#385—431no—
909#385—431no—
910#385—431no—
911#385—431no—
912#385—431no—
913#385—431no—
914#383—431no—
915#383—431no—
916#382—431no—
917#382—431no—
918#381—431no—
919#381—431no—
920#381—431no—
921#380—431no—
922#380—431no—
923#380—431no—
924#380—431no—
925#380—431no—
926#380C2×D4311yescharacteristic
927C4×C4⋊C4—431no—
928C4×C22⋊C4—431no—
929C4×C22⋊C4—431no—
930C4×C22⋊C4—431no—
931C4×C22⋊C4—431no—
932#376—431no—
933C2×#95—431no—
934C43#3678911yescharacteristic, complemented, Sylow
935C22×Q8—431no—
936C22×D4—431no—
937C22×D4—431no—
938C22×D4—431no—
939C22×D4—431no—
940C22×D4C22×D4311yescharacteristic
941C22×D4C22×D4311yescharacteristic
942C22×D4C22×D4311yescharacteristic
943C22×D4C22×D4311yescharacteristic
944C22×D4C22×D4311yescharacteristic
945C22×D4C22×D4311yescharacteristic
946C23×C4—431no—
947C23×C4—431no—
948C23×C4—431no—
949C23×C4—431no—
950C23×C4—431no—
951C23×C4—431no—
952C23×C4—431no—
953C23×C4C22×D4311yescharacteristic
954C23×C4C22×D4311yescharacteristic
955#126—1722no—
956#124—1722no—
957#123—42no—
958#123—1722no—
959#123—1722no—
960C22⋊Q8—1722no—
961#121—42no—
962#121—864no—
963#121—1722no—
964#121—1722no—
965#121—1722no—
966C4×D4—864no—
967C4×D4—864no—
968#117—1722no—
969C2×C4⋊C4—431no—
970C2×C4⋊C4—431no—
971C2×C4⋊C4—431no—
972C2×C4⋊C4—431no—
973C2×C4⋊C4—431no—
974C2×C4⋊C4—431no—
975C2×C4⋊C4—431no—
976C2×C4⋊C4—431no—
977C2×C4⋊C4—431no—
978C2×C4⋊C4—431no—
979C2×C4⋊C4—431no—
980C2×C4⋊C4—431no—
981C2×C4⋊C4—431no—
982C2×C4⋊C4—431no—
983C2×C4⋊C4—431no—
984C2×C4⋊C4—431no—
985C2×C4⋊C4—431no—
986C2×C4⋊C4—431no—
987C2×C4⋊C4—431no—
988C2×C4⋊C4—431no—
989C2×C4⋊C4—431no—
990C2×C4⋊C4—431no—
991C2×C4⋊C4—431no—
992C2×C4⋊C4—431no—
993C2×C4⋊C4—431no—
994C2×C4⋊C4C22×D4311yescharacteristic
995C2×C4⋊C4C22×D4311yescharacteristic
996C2×C4⋊C4C22×D4311yescharacteristic
997C2×C4⋊C4C22×D4311yescharacteristic
998C2×C22⋊C4—431no—
999C2×C22⋊C4—431no—
1000C2×C22⋊C4—431no—
1001C2×C22⋊C4—431no—
1002C2×C22⋊C4—431no—
1003C2×C22⋊C4—431no—
1004C2×C22⋊C4—431no—
1005C2×C22⋊C4—431no—
1006C2×C22⋊C4—431no—
1007C2×C22⋊C4—431no—
1008C2×C22⋊C4—431no—
1009C2×C22⋊C4—431no—
1010C2×C22⋊C4—431no—
1011C2×C22⋊C4—431no—
1012C2×C22⋊C4—431no—
1013C2×C22⋊C4—431no—
1014C2×C22⋊C4—431no—
1015C2×C22⋊C4—431no—
1016C2×C22⋊C4—431no—
1017C2×C22⋊C4—431no—
1018C2×C22⋊C4—431no—
1019C2×C22⋊C4—431no—
1020C2×C22⋊C4—431no—
1021C2×C22⋊C4—431no—
1022C2×C22⋊C4—431no—
1023C2×C22⋊C4—431no—
1024C2×C22⋊C4—431no—
1025C2×C22⋊C4—431no—
1026C2×C22⋊C4—431no—
1027C2×C22⋊C4—431no—
1028C2×C22⋊C4—431no—
1029C2×C22⋊C4—431no—
1030C2×C22⋊C4C22×D4311yescharacteristic
1031C2×C22⋊C4C22×D4311yescharacteristic
1032C2×C22⋊C4C22×D4311yescharacteristic
1033C2×C22⋊C4C22×D4311yescharacteristic
1034C2×C22⋊C4C22×D4311yescharacteristic
1035C2×C22⋊C4C22×D4311yescharacteristic
1036C2×C22⋊C4C22×D4311yescharacteristic
1037C2×C22⋊C4C22×D4311yescharacteristic
1038C2×C22⋊C4C22×D4311yescharacteristic
1039C2×C22⋊C4C22×D4311yescharacteristic
1040C2×C22⋊C4C22×D4311yescharacteristic
1041C2×C22⋊C4C22×D4311yescharacteristic
1042C2×C22⋊C4C22×D4311yescharacteristic
1043C2×C22⋊C4C22×D4311yescharacteristic
1044C2×C42—431no—
1045C2×C42—431no—
1046C2×C42—431no—
1047C2×C42—431no—
1048C2×C42—431no—
1049C2×C42—431no—
1050C2×C42—431no—
1051C2×C42—431no—
1052C2×C42—431no—
1053C2×C42—1722no—
1054C2×C42C22×D4311yescharacteristic
1055#95—431no—
1056#95—431no—
1057#95—431no—
1058#95—431no—
1059#95—431no—
1060#95—431no—
1061#95—431no—
1062#95—431no—
1063#95—431no—
1064#95—431no—
1065#95—431no—
1066#95—431no—
1067#95—431no—
1068#95—431no—
1069#95—431no—
1070#95—431no—
1071#95—431no—
1072#95—431no—
1073#95—431no—
1074#95—431no—
1075#95—431no—
1076#95—431no—
1077#95—431no—
1078#95—431no—
1079#95—431no—
1080#95—431no—
1081#95—431no—
1082#95—431no—
1083#95—431no—
1084#95—431no—
1085#95—431no—
1086#95—431no—
1087#95—431no—
1088#95—431no—
1089#95—431no—
1090#95—431no—
1091#95—431no—
1092#95—431no—
1093#95—431no—
1094#95—431no—
1095#95—431no—
1096#95—431no—
1097#95C22×D4311yescharacteristic
1098#95C22×D4311yescharacteristic
1099#95C22×D4311yescharacteristic
1100#95C22×D4311yescharacteristic
1101#95C22×D4311yescharacteristic
1102#95C22×D4311yescharacteristic
1103#95C22×D4311yescharacteristic
1104#95C22×D4311yescharacteristic
1105C24—431no—
1106C24C23×D4311yescharacteristic
1107C24C23×D4311yescharacteristic
1108C24C23×D4311yescharacteristic
1109C24C23×D4311yescharacteristic
1110C2×Q8—1721no—
1111C2×Q8—1721no—
1112C2×Q8—1721no—
1113C2×D4—22no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—22no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—862no—
1132C2×D4—862no—
1133C2×D4—862no—
1134C2×D4—862no—
1135C2×D4—1721no—
1136C2×D4—1721no—
1137C2×D4—1721no—
1138C2×D4—1721no—
1139C2×D4—1721no—
1140C2×D4—1721no—
1141C2×D4—1721no—
1142C2×D4—1721no—
1143C22×C4—22no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—431no—
1150C22×C4—431no—
1151C22×C4—431no—
1152C22×C4—434no—
1153C22×C4—431no—
1154C22×C4—431no—
1155C22×C4—431no—
1156C22×C4—431no—
1157C22×C4—431no—
1158C22×C4—431no—
1159C22×C4—431no—
1160C22×C4—431no—
1161C22×C4—431no—
1162C22×C4—431no—
1163C22×C4—431no—
1164C22×C4—431no—
1165C22×C4—862no—
1166C22×C4—862no—
1167C22×C4—862no—
1168C22×C4—1721no—
1169C22×C4—1721no—
1170C22×C4—1721no—
1171C22×C4—1721no—
1172C22×C4—1721no—
1173C22×C4—1721no—
1174C22×C4—1721no—
1175C22×C4—1721no—
1176C22×C4—1721no—
1177C22×C4—1721no—
1178C22×C4—1721no—
1179C22×C4—1721no—
1180C22×C4—1721no—
1181C22×C4—1721no—
1182C22×C4—1721no—
1183C22×C4—1721no—
1184C22×C4—1721no—
1185C22×C4C23×D4311yescharacteristic
1186C22×C4C23×D4311yescharacteristic
1187C22×C4C23×D4311yescharacteristic
1188C22×C4C23×D4311yescharacteristic
1189C22×C4C23×D4311yescharacteristic
1190C22×C4C23×D4311yescharacteristic
1191C22×C4C23×D4311yescharacteristic
1192C22×C4C23×D4311yescharacteristic
1193C22×C4C23×D4311yescharacteristic
1194C22×C4C23×D4311yescharacteristic
1195C22×C4C23×D4311yescharacteristic
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—862no—
1201C4⋊C4—862no—
1202C4⋊C4—862no—
1203C4⋊C4—862no—
1204C4⋊C4—862no—
1205C4⋊C4—862no—
1206C4⋊C4—1721no—
1207C4⋊C4—1721no—
1208C4⋊C4—1721no—
1209C4⋊C4—1721no—
1210C4⋊C4—1721no—
1211C4⋊C4—1721no—
1212C4⋊C4—1721no—
1213C4⋊C4—1721no—
1214C4⋊C4—1721no—
1215C4⋊C4—1721no—
1216C4⋊C4—1721no—
1217C4⋊C4—1721no—
1218C4⋊C4—1721no—
1219C4⋊C4—1721no—
1220C4⋊C4—1721no—
1221C4⋊C4—1721no—
1222C4⋊C4—1721no—
1223C4⋊C4—1721no—
1224C4⋊C4—1721no—
1225C22⋊C4—22no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—862no—
1240C22⋊C4—862no—
1241C22⋊C4—862no—
1242C22⋊C4—862no—
1243C22⋊C4—862no—
1244C22⋊C4—862no—
1245C22⋊C4—862no—
1246C22⋊C4—862no—
1247C22⋊C4—862no—
1248C22⋊C4—862no—
1249C22⋊C4—862no—
1250C22⋊C4—1721no—
1251C22⋊C4—1721no—
1252C22⋊C4—1721no—
1253C22⋊C4—1721no—
1254C22⋊C4—1721no—
1255C22⋊C4—1721no—
1256C22⋊C4—1721no—
1257C22⋊C4—1721no—
1258C22⋊C4—1721no—
1259C22⋊C4—1721no—
1260C22⋊C4—1721no—
1261C22⋊C4—1721no—
1262C22⋊C4—1721no—
1263C22⋊C4—1721no—
1264C22⋊C4—1721no—
1265C22⋊C4—1721no—
1266C22⋊C4—1721no—
1267C22⋊C4—1721no—
1268C22⋊C4—1721no—
1269C22⋊C4—1721no—
1270C22⋊C4—1721no—
1271C42—41no—
1272C42—862no—
1273C42—862no—
1274C42—862no—
1275C42—862no—
1276C42—1721no—
1277C42—1721no—
1278C42—1721no—
1279C42—1721no—
1280C42—1721no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—861no—
1308C23—861no—
1309C23—861no—
1310C23—861no—
1311C23—861no—
1312C23—861no—
1313C23—861no—
1314C23#41×D4312yes—
1315C23#1306337012yes—
1316C23C24×D4311yescharacteristic
1317Q8—3442no—
1318D4—44no—
1319D4—44no—
1320D4—82no—
1321D4—82no—
1322D4—82no—
1323D4—82no—
1324D4—3442no—
1325D4—3442no—
1326D4—3442no—
1327D4—3442no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—44no—
1362C2×C4—82no—
1363C2×C4—432no—
1364C2×C4—432no—
1365C2×C4—432no—
1366C2×C4—861no—
1367C2×C4—861no—
1368C2×C4—861no—
1369C2×C4—861no—
1370C2×C4—861no—
1371C2×C4—861no—
1372C2×C4—861no—
1373C2×C4—861no—
1374C2×C4—861no—
1375C2×C4—861no—
1376C2×C4—861no—
1377C2×C4—861no—
1378C2×C4—861no—
1379C2×C4—861no—
1380C2×C4—861no—
1381C2×C4—861no—
1382C2×C4—861no—
1383C2×C4—861no—
1384C2×C4—861no—
1385C2×C4—861no—
1386C2×C4—861no—
1387C2×C4—861no—
1388C2×C4—861no—
1389C2×C4—861no—
1390C2×C4—861no—
1391C2×C4—861no—
1392C2×C4—861no—
1393C2×C4—861no—
1394C2×C4—861no—
1395C2×C4—861no—
1396C2×C4—861no—
1397C2×C4—861no—
1398C2×C4—861no—
1399C2×C4—861no—
1400C2×C4—861no—
1401C2×C4—861no—
1402C2×C4—861no—
1403C2×C4—861no—
1404C2×C4—861no—
1405C2×C4—861no—
1406C2×C4—861no—
1407C2×C4—861no—
1408C2×C4—3442no—
1409C2×C4—3442no—
1410C2×C4—3442no—
1411C2×C4—3442no—
1412C2×C4—1724no—
1413C2×C4—1724no—
1414C2×C4—1724no—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—1721no—
1444C22—1721no—
1445C22—1721no—
1446C22—1721no—
1447C22—1721no—
1448C22—1721no—
1449C22—1721no—
1450C22C2×#41×D4311yescharacteristic
1451C22H(5,𝔽2)×D4311yescharacteristic
1452C22C2×#1306337011yescharacteristic
1453C22#1458373411yescharacteristic
1454C22#1458373411yescharacteristic
1455C22#1458373411yescharacteristic
1456C22#1458373511yescharacteristic
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—862no—
1469C4—862no—
1470C4—862no—
1471C4—1721no—
1472C4—1721no—
1473C4—1721no—
1474C4—1721no—
1475C4—1721no—
1476C4—1721no—
1477C4—1721no—
1478C4—1721no—
1479C4—1721no—
1480C4—1721no—
1481C4—1721no—
1482C4—1721no—
1483C2—42no—
1484C2—42no—
1485C2—81no—
1486C2—81no—
1487C2—3441no—
1488C2#1914797711yescharacteristic
1489C2#1914831711yescharacteristic
1490C2#1914842811yescharacteristic
1491C2#1914876411yescharacteristic
1492C2#1914889811yescharacteristic
1493C2#1914913511yescharacteristic
1494C2#1914926711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2703C2
hypercenter#2703D43
hypocenterC43#36789
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2703

Complements

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

NH ≅ G/Ntype
1. #19142924C2semidirect
2. #19142908C2semidirect
3. #19142307C2semidirect
4. #19142206C2semidirect
5. #19142100C2semidirect
6. #19142044C2semidirect
7. #19141821C2semidirect
8. #19141743C2semidirect
9. #19141655C2semidirect
10. #19141511C2semidirect
11. #19141432C2semidirect
12. #19141313C2semidirect
13. #19141307C2semidirect
14. #19141286C2semidirect
15. #19141069C2semidirect
16. #19141037C2semidirect
17. #19140889C2semidirect
18. #19140625C2semidirect
19. #19140620C2semidirect
20. #19140176C2semidirect
21. #19139905C2semidirect
22. #19139687C2semidirect
23. #19139553C2semidirect
24. #19139440C2semidirect
25. #19139428C2semidirect
26. #19138277C2semidirect
27. #19138006C2semidirect
28. #19137354C2semidirect
29. #19137221C2semidirect
30. #19137035C2semidirect
31. C43×#2703C2semidirect
750. #2703D43semidirect
934. C43#36789semidirect

Maximal subgroups

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

subgroupindex
#191429242
#191429082
#191423072
#191422062
#191421002
#191420442
#191418212
#191417432
#191416552
#191415112
#191414322
#191413132
#191413072
#191412862
#191410692
#191410372
#191408892
#191406252
#191406202
#191401762
#191399052
#191396872
#191395532
#191394402
#191394282
#191382772
#191380062
#191373542
#191372212
#191370352
C43×#27032
#3678943