Finite Group Databasebeta

← #33978220

Subgroups — #33978220

Order 18688.

1952 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623889C211yesmaximal, characteristic, complemented
2#22623536C211yesmaximal, characteristic, complemented
3#22622938C211yesmaximal, characteristic, complemented
4#22622924C211yesmaximal, characteristic, complemented
5#22622592C211yesmaximal, characteristic, complemented
6#22622575C211yesmaximal, characteristic, complemented
7#22621835C211yesmaximal, characteristic, complemented
8#22621826C211yesmaximal, characteristic, complemented
9#22621802C211yesmaximal, characteristic, complemented
10#22621781C211yesmaximal, characteristic, complemented
11#22621776C211yesmaximal, characteristic, complemented
12#22621748C211yesmaximal, characteristic, complemented
13#22621634C211yesmaximal, characteristic, complemented
14#22621632C211yesmaximal, characteristic, complemented
15#22621625C211yesmaximal, characteristic, complemented
16#22621614C211yesmaximal, characteristic, complemented
17D8×C22⋊D73C211yesmaximal, characteristic, complemented
18#22621284C211yesmaximal, characteristic, complemented
19#22621280C211yesmaximal, characteristic, complemented
20#22621250C211yesmaximal, characteristic, complemented
21#22620899C211yesmaximal, characteristic, complemented
22#22620891C211yesmaximal, characteristic, complemented
23#22620862C211yesmaximal, characteristic, complemented
24#22619979C211yesmaximal, characteristic, complemented
25#22619976C211yesmaximal, characteristic, complemented
26#22619942C211yesmaximal, characteristic, complemented
27#22619382C211yesmaximal, characteristic, complemented
28C2×#17988800C211yesmaximal, characteristic, complemented
29#463×D73C211yesmaximal, characteristic, complemented
30#22619038C211yesmaximal, characteristic, complemented
31C73×#3280C211yesmaximal, characteristic, complemented
32C2×#14556611C2211yescharacteristic, complemented
33C22×#11924016C2211yescharacteristic, complemented
34C2×SD16×D73C2211yescharacteristic, complemented
35C2×D8×D73C2211yescharacteristic
36#17989320C2211yescharacteristic, complemented
37#17989319C2211yescharacteristic, complemented
38#17989306C2211yescharacteristic, complemented
39#17989301—21no—
40#17989296C2211yescharacteristic, complemented
41#17989295C2211yescharacteristic
42#17989284C2211yescharacteristic, complemented
43#17989283C2211yescharacteristic, complemented
44#17989280—21no—
45#17989265—21no—
46#17989263—21no—
47#17989263—21no—
48#17989260—21no—
49#17989250C2211yescharacteristic
50#17989246C2211yescharacteristic, complemented
51#17989244C2211yescharacteristic, complemented
52#17989234C2211yescharacteristic, complemented
53#17989225C2211yescharacteristic, complemented
54#17989224—21no—
55#17989224—21no—
56D4×C22⋊D73C2211yescharacteristic
57D4×C22⋊D73C2211yescharacteristic
58#17989205—21no—
59#17989172—21no—
60#17989169—21no—
61#17989133C2211yescharacteristic, complemented
62#17989132C2211yescharacteristic, complemented
63#17989123C2211yescharacteristic, complemented
64#17989123C2211yescharacteristic, complemented
65#17989119C2211yescharacteristic, complemented
66#17989118C2211yescharacteristic, complemented
67#17989116C2211yescharacteristic, complemented
68#17989114—21no—
69C2×#14556578C2211yescharacteristic, complemented
70#124×D73C2211yescharacteristic, complemented
71#17989097—21no—
72#17989093—21no—
73#17989060—21no—
74#41×Dic73C2211yescharacteristic, complemented
75C4×#11924027C2211yescharacteristic
76C2×D4×Dic73C2211yescharacteristic, complemented
77C2×#14556551—21no—
78C4×D4×D73C2211yescharacteristic, complemented
79#17988969C2211yescharacteristic, complemented
80#17988968C2211yescharacteristic, complemented
81#17988968C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic
83#17988958C2211yescharacteristic, complemented
84#17988942C2211yescharacteristic, complemented
85#17988941C2211yescharacteristic, complemented
86#17988940C2211yescharacteristic, complemented
87#17988940C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988929C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988920C2211yescharacteristic, complemented
93#17988908C2211yescharacteristic, complemented
94#17988906C2211yescharacteristic, complemented
95#17988904C2211yescharacteristic, complemented
96#17988896C2211yescharacteristic, complemented
97#17988896C2211yescharacteristic, complemented
98#17988895C2211yescharacteristic, complemented
99#17988890C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988889C2211yescharacteristic, complemented
103#17988887C2211yescharacteristic, complemented
104#17988881C2211yescharacteristic, complemented
105#17988875C2211yescharacteristic, complemented
106#17988827C2211yescharacteristic, complemented
107#17988823C2211yescharacteristic
108#17988821C2211yescharacteristic, complemented
109#17988820C2211yescharacteristic
110#17988818C2211yescharacteristic, complemented
111#17988818C2211yescharacteristic, complemented
112#17988816C2211yescharacteristic, complemented
113#17988815C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic, complemented
115#17988813C2211yescharacteristic, complemented
116#17988811C2211yescharacteristic, complemented
117#17988811C2211yescharacteristic, complemented
118#17988807C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic, complemented
120#17988806C2211yescharacteristic, complemented
121#17988805C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic, complemented
123#17988804C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic, complemented
125#17988803C2211yescharacteristic, complemented
126#17988802C2211yescharacteristic, complemented
127#17988801C2211yescharacteristic, complemented
128#17988801C2211yescharacteristic, complemented
129#17988800C2211yescharacteristic
130#17988800C2211yescharacteristic
131#17988800C2211yescharacteristic, complemented
132#17988800C2211yescharacteristic, complemented
133#17988800C2211yescharacteristic, complemented
134#17988800C2211yescharacteristic, complemented
135#17988800C2211yescharacteristic, complemented
136#17988800C2211yescharacteristic, complemented
137#17988799C2211yescharacteristic, complemented
138#17988795C2211yescharacteristic, complemented
139#17988790C2211yescharacteristic, complemented
140#17988786C2211yescharacteristic, complemented
141#17988785C2211yescharacteristic, complemented
142#17988780C2211yescharacteristic
143#17988780C2211yescharacteristic
144#17988749C2211yescharacteristic, complemented
145#17988742C2211yescharacteristic, complemented
146#17988741C2211yescharacteristic, complemented
147#17988739C2211yescharacteristic, complemented
148#17988736C2211yescharacteristic, complemented
149#17988734C2211yescharacteristic, complemented
150#17988732C2211yescharacteristic, complemented
151#17988730C2211yescharacteristic, complemented
152#17988728C2211yescharacteristic, complemented
153#17988724C2211yescharacteristic, complemented
154#17988721C2211yescharacteristic
155#17988721C2211yescharacteristic
156#17988719C2211yescharacteristic
157#17988719C2211yescharacteristic
158C8×Dic146C2211yescharacteristic, complemented
159#17988711C2211yescharacteristic, complemented
160#17988679C2211yescharacteristic, complemented
161#17988678C2211yescharacteristic, complemented
162C4×#11924017C2211yescharacteristic, complemented
163SD16×Dic73C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic, complemented
165SD16×Dic73C2211yescharacteristic, complemented
166C4×#11924016C2211yescharacteristic, complemented
167D8×Dic73C2211yescharacteristic
168C4×#11924013C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic, complemented
171D4×#10596831C2211yescharacteristic, complemented
172C8×C22⋊D73C2211yescharacteristic
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic
175#17988650C2211yescharacteristic, complemented
176#17988638C2211yescharacteristic, complemented
177#17988637C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179C2×#14556520C2211yescharacteristic, complemented
180C2×#14556520C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988584C2211yescharacteristic, complemented
183#17988583C2211yescharacteristic, complemented
184C2×#14556516C2211yescharacteristic, complemented
185#103×D73C2211yescharacteristic, complemented
186C2×#14556512C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188C2×#135×C73C2211yescharacteristic, complemented
189C22×D8×C73C2211yescharacteristic
190#546×C73C2211yescharacteristic, complemented
191#546×C73C2211yescharacteristic, complemented
192#495×C73C2211yescharacteristic, complemented
193#467×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic
196#463×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199#449×C73C2211yescharacteristic
200#449×C73C2211yescharacteristic, complemented
201C4×D8×C73C2211yescharacteristic, complemented
202C8×D4×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027D411yescharacteristic
206C22×Dic146C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C22×C22⋊D73—21no—
209C22×C22⋊D73—21no—
210C2×D4×D73C2311yescharacteristic
211C2×D4×D73C2311yescharacteristic
212C23×Dic73—21no—
213C22×C4×D73—21no—
214#14556611—42no—
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016—42no—
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226SD16×D73—42no—
227C2×D584C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232D8×D73—42no—
233C22×#10596831C2311yescharacteristic
234C22×#10596831C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236C2×C8×D73C2311yescharacteristic
237#14556590—21no—
238#14556590C2311yescharacteristic
239#14556589C2311yescharacteristic
240#14556587C2311yescharacteristic
241#14556587C2311yescharacteristic
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584—21no—
251#14556583C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556581—21no—
255#14556580C2311yescharacteristic
256#14556580C2311yescharacteristic
257#14556579C2311yescharacteristic
258#14556578—21no—
259#14556578—21no—
260#14556578—21no—
261#14556578C2311yescharacteristic
262#14556578C2311yescharacteristic
263#14556578C2311yescharacteristic
264#14556578C2311yescharacteristic
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577—21no—
270#14556577—21no—
271#14556575—21no—
272#14556575—21no—
273#14556575—21no—
274#14556574—21no—
275#14556574—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556572—21no—
283#14556572—21no—
284#14556571—21no—
285#14556571C2311yescharacteristic
286#14556570—21no—
287#14556570—21no—
288#14556570C2311yescharacteristic
289#14556569—21no—
290#14556569—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556567C2311yescharacteristic
297#14556565C2311yescharacteristic
298#14556565C2311yescharacteristic
299#14556565C2311yescharacteristic
300#14556563—21no—
301#14556563—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556562—21no—
309#14556562—21no—
310#14556562—21no—
311#14556562C2311yescharacteristic
312#14556562C2311yescharacteristic
313#14556560—21no—
314#14556560—21no—
315#14556559—21no—
316#14556559—21no—
317#14556559—21no—
318#14556559—21no—
319Q8×Dic73C2311yescharacteristic
320Q8×Dic73C2311yescharacteristic
321Q8×Dic73C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323C4×Dic146C2311yescharacteristic
324#14556556D411yescharacteristic
325#14556556C2311yescharacteristic
326C4×D292C2311yescharacteristic
327D4×Dic73—21no—
328D4×Dic73—21no—
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73D411yescharacteristic
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339#14556553C2311yescharacteristic
340#14556553C2311yescharacteristic
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73C2311yescharacteristic
348C4×C22⋊D73C2311yescharacteristic
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551D411yescharacteristic
361#14556551D411yescharacteristic
362#14556550—21no—
363#14556550—21no—
364#14556550C2311yescharacteristic
365#14556549—21no—
366#14556549—21no—
367#14556549D411yescharacteristic
368#14556547—21no—
369#14556547—21no—
370#14556547—21no—
371#14556547D411yescharacteristic
372#14556547D411yescharacteristic
373C2×C4⋊Dic73C2311yescharacteristic
374C2×#11924007—21no—
375C4⋊C4×D73C2311yescharacteristic
376C2×C22⋊Dic73—21no—
377C2×C22⋊Dic73—21no—
378C2×C22⋊Dic73—21no—
379C2×#11924005—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C2×C4×Dic73—21no—
385C2×C4×Dic73C2311yescharacteristic
386C2×C4×Dic73C2311yescharacteristic
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C22×D4×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443#135×C73—42no—
444C2×Q16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×D8×C73—42no—
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C22×C8×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456#124×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#123×C73—21no—
459#123×C73—21no—
460C22⋊Q8×C73C2311yescharacteristic
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#120×C73—21no—
467#120×C73—21no—
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471C2×C22⋊C4×C73—21no—
472C2×C22⋊C4×C73—21no—
473#107×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924028—41no—
487#11924028—41no—
488#11924027—24no—
489#11924027—82no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—41no—
494C2×Dic146—41no—
495C2×Dic146C2×D411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498Q8×D73—41no—
499Q8×D73—41no—
500C2×D292C2411yescharacteristic
501C2×D292C2411yescharacteristic
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—44no—
515C2×C22⋊D73—44no—
516C2×C22⋊D73C2×D411yescharacteristic
517C2×C22⋊D73C2×D411yescharacteristic
518D4×D73—22no—
519D4×D73—41no—
520D4×D73—41no—
521D4×D73—41no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—82no—
531C22×Dic73C2×D411yescharacteristic
532C22×Dic73C2×D411yescharacteristic
533C22×Dic73C2×D411yescharacteristic
534C22×Dic73C2×D411yescharacteristic
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—82no—
542C2×C4×D73C2×D411yescharacteristic
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2411yescharacteristic
545#11924018—41no—
546#11924018—41no—
547#11924017—41no—
548#11924017—41no—
549#11924016—22no—
550#11924016—22no—
551#11924016—41no—
552#11924016—41no—
553#11924015—41no—
554#11924015—41no—
555D584—41no—
556#11924013—22no—
557#11924013—41no—
558#11924013—41no—
559#11924013—41no—
560C2×#10596831—41no—
561C2×#10596831—41no—
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C8×D73—41no—
567C8×D73—41no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73C2×D411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73C2×D411yescharacteristic
615C22⋊Dic73C2×D411yescharacteristic
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C4×Dic73C2411yescharacteristic
647C24×C73—21no—
648C24×C73—21no—
649#41×C73—22no—
650#41×C73—41no—
651#41×C73—41no—
652#41×C73—41no—
653C2×Q8×C73C2411yescharacteristic
654C2×Q8×C73C2411yescharacteristic
655C2×D4×C73—22no—
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—41no—
663C2×D4×C73—41no—
664C2×D4×C73—41no—
665C2×D4×C73C2×D411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C2×D4×C73C2411yescharacteristic
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73—21no—
674C22×C4×C73C2411yescharacteristic
675C22×C4×C73C2411yescharacteristic
676Q16×C73—41no—
677SD16×C73—22no—
678SD16×C73—41no—
679SD16×C73—41no—
680SD16×C73—41no—
681D8×C73—22no—
682D8×C73—22no—
683D8×C73—41no—
684D8×C73—41no—
685C2×C8×C73—41no—
686C2×C8×C73—41no—
687C2×C8×C73C2411yescharacteristic
688C2×C8×C73C2411yescharacteristic
689C2×C8×C73C2411yescharacteristic
690C2×C8×C73C2411yescharacteristic
691C4⋊C4×C73—21no—
692C4⋊C4×C73—21no—
693C4⋊C4×C73C2×D411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C4⋊C4×C73C2411yescharacteristic
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73C2×D411yescharacteristic
707C22⋊C4×C73C2×D411yescharacteristic
708C42×C73C2411yescharacteristic
709C23×C73—21no—
710C23×C73—21no—
711C23×C73—21no—
712C23×C73—21no—
713C23×C73—42no—
714C23×C73—42no—
715C23×C73—42no—
716C23×C73—81no—
717C23×C73—81no—
718C23×C73—81no—
719C23×C73C22×D411yescharacteristic
720C23×C73C22×D411yescharacteristic
721C22×D73—21no—
722C22×D73—21no—
723C22×D73—42no—
724C22×D73—42no—
725C22×D73—42no—
726C22×D73—81no—
727C22×D73—81no—
728C22×D73—81no—
729C22×D73C22×D411yescharacteristic
730Q8×C73—21no—
731Q8×C73—21no—
732Q8×C73—21no—
733Q8×C73—21no—
734D4×C73—22no—
735D4×C73—21no—
736D4×C73—21no—
737D4×C73—21no—
738D4×C73—21no—
739D4×C73—21no—
740D4×C73—21no—
741D4×C73—21no—
742D4×C73—42no—
743D4×C73—42no—
744D4×C73—81no—
745D4×C73—81no—
746D4×C73—81no—
747D4×C73—81no—
748D4×C73H(5,𝔽2)12yes—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—42no—
758C2×C4×C73—81no—
759C2×C4×C73—81no—
760C2×C4×C73—81no—
761C2×C4×C73C22×D411yescharacteristic
762C2×C4×C73C22×D411yescharacteristic
763C2×C4×C73C22×D411yescharacteristic
764C2×C4×C73C22×D411yescharacteristic
765C2×C4×C73C2511yescharacteristic
766C22⋊D73—22no—
767C22⋊D73—42no—
768C22⋊D73—42no—
769C22⋊D73—42no—
770C22⋊D73—42no—
771C22⋊D73—42no—
772C22⋊D73—42no—
773C22⋊D73—42no—
774C22⋊D73—81no—
775C22⋊D73—81no—
776C22⋊D73—81no—
777C22⋊D73—81no—
778C22⋊D73—81no—
779C22⋊D73#13514yescomplemented
780C2×Dic73—22no—
781C2×Dic73—22no—
782C2×Dic73—21no—
783C2×Dic73—21no—
784C2×Dic73—21no—
785C2×Dic73—21no—
786C2×Dic73—21no—
787C2×Dic73—21no—
788C2×Dic73—41no—
789C2×Dic73—41no—
790C2×Dic73—42no—
791C2×Dic73—42no—
792C2×Dic73—42no—
793C2×Dic73—42no—
794C2×Dic73—81no—
795C2×Dic73—81no—
796C2×Dic73—81no—
797C2×Dic73—81no—
798C2×Dic73C22×D411yescharacteristic
799C2×Dic73C22×D411yescharacteristic
800C2×Dic73C22×D411yescharacteristic
801C2×Dic73C22×D411yescharacteristic
802C2×Dic73C22×D411yescharacteristic
803C2×Dic73C22×D411yescharacteristic
804C2×Dic73C22×D411yescharacteristic
805D292—21no—
806D292—21no—
807D292—21no—
808D292—21no—
809C4×D73—22no—
810C4×D73—21no—
811C4×D73—21no—
812C4×D73—41no—
813C4×D73—42no—
814C4×D73—81no—
815C4×D73—81no—
816C4×D73—81no—
817C4×D73—81no—
818C4×D73—81no—
819Dic146—22no—
820Dic146—21no—
821Dic146—21no—
822Dic146—21no—
823Dic146—21no—
824Dic146—81no—
825Dic146—81no—
826Dic146—81no—
827C8×C73—21no—
828C8×C73—21no—
829C8×C73—21no—
830C8×C73—21no—
831#10596831—21no—
832#10596831—21no—
833#10596831—21no—
834#10596831—21no—
835C22×C73—21no—
836C22×C73—21no—
837C22×C73—21no—
838C22×C73—22no—
839C22×C73—21no—
840C22×C73—21no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73—41no—
845C22×C73—41no—
846C22×C73—41no—
847C22×C73—41no—
848C22×C73—41no—
849C22×C73—41no—
850C22×C73—41no—
851C22×C73—41no—
852C22×C73—84no—
853C22×C73—162no—
854C22×C73C2×#13512yes—
855C22×C73C23×D411yescharacteristic
856C2×D73—21no—
857C2×D73—21no—
858C2×D73—41no—
859C2×D73—41no—
860C2×D73—41no—
861C2×D73—41no—
862C2×D73—41no—
863C2×D73—41no—
864C2×D73—84no—
865C2×D73—162no—
866C2×D73C2×#13512yes—
867C4×C73—21no—
868C4×C73—21no—
869C4×C73—21no—
870C4×C73—21no—
871C4×C73—41no—
872C4×C73—41no—
873C4×C73—41no—
874C4×C73—41no—
875C4×C73C2×H(5,𝔽2)11yescharacteristic
876C4×C73#58511yescharacteristic
877Dic73—21no—
878Dic73—21no—
879Dic73—21no—
880Dic73—21no—
881Dic73—21no—
882Dic73—21no—
883Dic73—41no—
884Dic73—41no—
885Dic73—41no—
886Dic73—41no—
887Dic73—41no—
888Dic73—41no—
889Dic73C2×#13512yes—
890#61955—731nomaximal, Sylow
891C2×C73—22no—
892C2×C73—42no—
893C2×C73—41no—
894C2×C73—81no—
895C2×C73—81no—
896C2×C73—81no—
897C2×C73#348811yescharacteristic
898C2×C73C22×#13511yescharacteristic
899C2×C73#358511yescharacteristic
900D73—22no—
901D73—81no—
902D73—81no—
903#3514—731no—
904#3481—731no—
905#3396—731no—
906#3394—731no—
907#3361—731no—
908#3360—731no—
909#3301—731no—
910#3301—731no—
911#3299—731no—
912#3297—731no—
913#3297—731no—
914#3295—731no—
915#3282—731no—
916#3282—731no—
917D4×SD16—731no—
918#3280—731no—
919#3280D7311yescharacteristic, complemented
920D4×D8—731no—
921#3250—731no—
922#3250—731no—
923#3247—731no—
924#3211—731no—
925#3211—731no—
926#3207—731no—
927#3105—731no—
928#3105—731no—
929#3102—731no—
930#3035—731no—
931C2×#463—731no—
932C2×#463—731no—
933#2988—731no—
934C73#6195511yescharacteristic, complemented, Sylow
935C2×#135—731no—
936C2×#135C2×D7311yescharacteristic, complemented
937C22×SD16—731no—
938C22×SD16—731no—
939C22×D8—731no—
940C22×D8C2×D7311yescharacteristic
941#559—731no—
942#559—731no—
943#556—731no—
944#555—1461no—
945#554—731no—
946#554—731no—
947#553—731no—
948#553—731no—
949#553—1461no—
950#551—1461no—
951#551—1461no—
952#551—1461no—
953#551—1461no—
954D4×Q8—731no—
955#548—731no—
956#548—731no—
957#546—731no—
958#546—731no—
959#546—1461no—
960#546—1461no—
961#546C2×D7311yescharacteristic, complemented
962#546C2×D7311yescharacteristic, complemented
963D42—731no—
964D42—731no—
965#542—1461no—
966#538—1461no—
967#538—1461no—
968#532—731no—
969#532—731no—
970#529—731no—
971#529—731no—
972#529—731no—
973#529—731no—
974#529—731no—
975#529—1461no—
976C2×#124—731no—
977C2×#124—731no—
978#525—1461no—
979#525—1461no—
980#518—1461no—
981C4×#41—731no—
982C4×#41—731no—
983C2×C4×D4—731no—
984C2×C4×D4—731no—
985C2×C4×D4—1461no—
986#495—731no—
987#495—731no—
988#495—731no—
989#495C2×D7311yescharacteristic, complemented
990#493—731no—
991#492—731no—
992#488—731no—
993#488—731no—
994#488—731no—
995#488—731no—
996#487—731no—
997#486—731no—
998#485—731no—
999#484—731no—
1000#484—731no—
1001#482—731no—
1002#481—731no—
1003#481—731no—
1004#479—731no—
1005#479—731no—
1006#479—731no—
1007#478—731no—
1008#478—731no—
1009#478—731no—
1010#478—731no—
1011#478—731no—
1012#477—731no—
1013#476—731no—
1014#467—731no—
1015#467C2×D7311yescharacteristic, complemented
1016#466—731no—
1017#466—731no—
1018#466—731no—
1019#466C2×D7311yescharacteristic, complemented
1020#465—731no—
1021#465—731no—
1022#465—731no—
1023#465—731no—
1024#465—731no—
1025#465—731no—
1026#464—731no—
1027#464—731no—
1028#464—731no—
1029#464—731no—
1030#464—731no—
1031#463—731no—
1032#463—731no—
1033#463—731no—
1034#463—731no—
1035#463—731no—
1036#463—731no—
1037#463—731no—
1038#463—731no—
1039#463—731no—
1040#463—731no—
1041#463—731no—
1042#463—731no—
1043#463—731no—
1044#463—731no—
1045#463—731no—
1046#463—731no—
1047#463—731no—
1048#463C2×D7311yescharacteristic
1049#463C2×D7311yescharacteristic, complemented
1050#462—731no—
1051#461—731no—
1052#460—731no—
1053#460—731no—
1054#459—731no—
1055#459—731no—
1056#452—731no—
1057#451—731no—
1058#451—731no—
1059#450—731no—
1060#450—731no—
1061#450C2×D7311yescharacteristic, complemented
1062#450C2×D7311yescharacteristic, complemented
1063#449—731no—
1064#449—731no—
1065#449—731no—
1066#449C2×D7311yescharacteristic
1067#449C2×D7311yescharacteristic, complemented
1068#448—731no—
1069#448—731no—
1070#447—731no—
1071#447—731no—
1072#447—731no—
1073#447—731no—
1074C8×Q8—731no—
1075C8×Q8—731no—
1076C4×Q16—731no—
1077C4×SD16—731no—
1078C4×SD16—731no—
1079C4×SD16—731no—
1080C4×SD16—731no—
1081C4×SD16—731no—
1082C4×SD16—731no—
1083C4×D8—731no—
1084C4×D8—731no—
1085C4×D8—731no—
1086C4×D8—731no—
1087C4×D8C2×D7311yescharacteristic, complemented
1088C8×D4—731no—
1089C8×D4—731no—
1090C8×D4—731no—
1091C8×D4—731no—
1092C8×D4—731no—
1093C8×D4C2×D7311yescharacteristic, complemented
1094#431—731no—
1095#431—731no—
1096#431—731no—
1097C2×C4⋊C8—731no—
1098C2×C4⋊C8—731no—
1099C2×C4⋊C8—731no—
1100#416—731no—
1101#416—731no—
1102C2×#103—731no—
1103C2×#103—731no—
1104C2×#102—731no—
1105C2×#102—731no—
1106C2×#41—731no—
1107C2×#41—731no—
1108C2×#41—1461no—
1109C2×#41C22×D7311yescharacteristic
1110C2×#41C22×D7311yescharacteristic
1111C22×Q8—731no—
1112C22×Q8—731no—
1113C22×D4—731no—
1114C22×D4—731no—
1115C22×D4—1461no—
1116C22×D4—1461no—
1117C22×D4C22×D7311yescharacteristic
1118C22×D4C22×D7311yescharacteristic
1119C23×C4—1461no—
1120C23×C4—1461no—
1121#135—42no—
1122#135—2922no—
1123C2×Q16—731no—
1124C2×Q16—731no—
1125C2×Q16C22×D7311yescharacteristic
1126C2×SD16—2922no—
1127C2×SD16—2922no—
1128C2×SD16—731no—
1129C2×SD16—731no—
1130C2×SD16—731no—
1131C2×SD16—731no—
1132C2×SD16—731no—
1133C2×SD16—731no—
1134C2×SD16—731no—
1135C2×SD16—731no—
1136C2×SD16C22×D7311yescharacteristic
1137C2×SD16C22×D7311yescharacteristic
1138C2×SD16C22×D7311yescharacteristic
1139C2×SD16C22×D7311yescharacteristic
1140C2×D8—42no—
1141C2×D8—2922no—
1142C2×D8—731no—
1143C2×D8—731no—
1144C2×D8—731no—
1145C2×D8—731no—
1146C2×D8—731no—
1147C2×D8C22×D7311yescharacteristic
1148C2×D8C22×D7311yescharacteristic
1149C2×D8C22×D7311yescharacteristic
1150C2×D8C22×D7311yescharacteristic
1151C22×C8—731no—
1152C22×C8—731no—
1153C22×C8—731no—
1154C22×C8—731no—
1155C22×C8C22×D7311yescharacteristic
1156C22×C8C22×D7311yescharacteristic
1157C4⋊Q8—731no—
1158C4⋊Q8—731no—
1159C4⋊Q8—1461no—
1160#127—731no—
1161#127—731no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#126—1461no—
1167#126—1461no—
1168#126—1461no—
1169#126—1461no—
1170#126—1461no—
1171#125—731no—
1172#125—731no—
1173#125—731no—
1174#125—1461no—
1175#124—731no—
1176#124—731no—
1177#124—731no—
1178#124—731no—
1179#124—731no—
1180#124—731no—
1181#124—731no—
1182#124—1461no—
1183#124—1461no—
1184#124—1461no—
1185#124—1461no—
1186#124—1461no—
1187#124—1461no—
1188#124—1461no—
1189#124—1461no—
1190#124—1461no—
1191#124C22×D7311yescharacteristic
1192#124C22×D7311yescharacteristic
1193#123—21no—
1194#123—21no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208C22⋊Q8—731no—
1209C22⋊Q8—731no—
1210C22⋊Q8—731no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8C22×D7311yescharacteristic
1222C22⋊Q8C22×D7311yescharacteristic
1223#121—21no—
1224#121—21no—
1225#121—731no—
1226#121—731no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121C22×D7311yescharacteristic
1242#121C22×D7311yescharacteristic
1243#120—21no—
1244#120—21no—
1245#120—1461no—
1246#120—1461no—
1247#120—1461no—
1248#120—1461no—
1249#120—1461no—
1250#120—1461no—
1251C4×Q8—731no—
1252C4×Q8—731no—
1253C4×Q8—731no—
1254C4×Q8—731no—
1255C4×Q8—731no—
1256C4×Q8—731no—
1257C4×Q8—731no—
1258C4×D4—731no—
1259C4×D4—731no—
1260C4×D4—731no—
1261C4×D4—731no—
1262C4×D4—731no—
1263C4×D4—731no—
1264C4×D4—731no—
1265C4×D4—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4C22×D7311yescharacteristic
1295C4×D4C22×D7311yescharacteristic
1296C4×D4C22×D7311yescharacteristic
1297#117—731no—
1298#117—731no—
1299#117—731no—
1300#117—731no—
1301#117—1461no—
1302#117—1461no—
1303#117—1461no—
1304#117—1461no—
1305#117—1461no—
1306#117—1461no—
1307#117—1461no—
1308C2×C4⋊C4—731no—
1309C2×C4⋊C4—731no—
1310C2×C4⋊C4—1461no—
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C22⋊C4—1461no—
1316C2×C22⋊C4—1461no—
1317C2×C22⋊C4—1461no—
1318C2×C22⋊C4—1461no—
1319C2×C22⋊C4—1461no—
1320C2×C22⋊C4—1461no—
1321C2×C42—731no—
1322C2×C42—731no—
1323C2×C42—731no—
1324C2×C42—1461no—
1325#107—731no—
1326#107—731no—
1327#107—731no—
1328#107C22×D7311yescharacteristic
1329#106—731no—
1330#106—731no—
1331#106—731no—
1332#106—731no—
1333C4⋊C8—731no—
1334C4⋊C8—731no—
1335C4⋊C8—731no—
1336C4⋊C8—731no—
1337C4⋊C8—731no—
1338C4⋊C8—731no—
1339C4⋊C8—731no—
1340C4⋊C8—731no—
1341C4⋊C8—731no—
1342C4⋊C8C22×D7311yescharacteristic
1343#103—731no—
1344#103—731no—
1345#103—731no—
1346#103—731no—
1347#103—731no—
1348#103—731no—
1349#103—731no—
1350#103—731no—
1351#103—731no—
1352#103—731no—
1353#103—731no—
1354#103—731no—
1355#103C22×D7311yescharacteristic
1356#103C22×D7311yescharacteristic
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102—731no—
1364#102—731no—
1365#102—731no—
1366#102—731no—
1367#102—731no—
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102C22×D7311yescharacteristic
1372#102C22×D7311yescharacteristic
1373#102C22×D7311yescharacteristic
1374#102C22×D7311yescharacteristic
1375C22⋊C8—731no—
1376C22⋊C8—731no—
1377C22⋊C8—731no—
1378C22⋊C8—731no—
1379C22⋊C8C22×D7311yescharacteristic
1380C22⋊C8C22×D7311yescharacteristic
1381C4×C8—731no—
1382C4×C8—731no—
1383C4×C8—731no—
1384C4×C8—731no—
1385C4×C8—731no—
1386C4×C8C22×D7311yescharacteristic
1387C24—21no—
1388C24—21no—
1389C24—1461no—
1390C24—1461no—
1391#41—22no—
1392#41—41no—
1393#41—41no—
1394#41—41no—
1395#41—2921no—
1396#41—2921no—
1397#41—5842no—
1398#41—1464no—
1399C2×Q8—2921no—
1400C2×Q8—2921no—
1401C2×Q8—2921no—
1402C2×Q8—2921no—
1403C2×Q8—731no—
1404C2×Q8—731no—
1405C2×Q8—731no—
1406C2×Q8—1461no—
1407C2×Q8—1461no—
1408C2×Q8—1461no—
1409C2×Q8C23×D7311yescharacteristic
1410C2×Q8C23×D7311yescharacteristic
1411C2×D4—22no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—41no—
1421C2×D4—2924no—
1422C2×D4—2924no—
1423C2×D4—2921no—
1424C2×D4—2921no—
1425C2×D4—2921no—
1426C2×D4—731no—
1427C2×D4—731no—
1428C2×D4—731no—
1429C2×D4—731no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1461no—
1439C2×D4—1461no—
1440C2×D4—1462no—
1441C2×D4—1461no—
1442C2×D4—1461no—
1443C2×D4D4×D7311yescharacteristic
1444C2×D4C23×D7311yescharacteristic
1445C2×D4C23×D7311yescharacteristic
1446C2×D4C23×D7311yescharacteristic
1447C2×D4C23×D7311yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—5842no—
1453C22×C4—5842no—
1454C22×C4—731no—
1455C22×C4—731no—
1456C22×C4—731no—
1457C22×C4—731no—
1458C22×C4—731no—
1459C22×C4—731no—
1460C22×C4—731no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4—1461no—
1465C22×C4—1461no—
1466C22×C4—1461no—
1467C22×C4—1461no—
1468C22×C4—1461no—
1469C22×C4—1461no—
1470C22×C4—1461no—
1471C22×C4—1461no—
1472C22×C4—1461no—
1473C22×C4—1461no—
1474C22×C4—1461no—
1475C22×C4C23×D7311yescharacteristic
1476C22×C4C23×D7311yescharacteristic
1477Q16—41no—
1478Q16—2921no—
1479Q16—2921no—
1480SD16—22no—
1481SD16—41no—
1482SD16—41no—
1483SD16—41no—
1484SD16—2921no—
1485SD16—2921no—
1486SD16—2921no—
1487SD16—2921no—
1488SD16—2921no—
1489SD16—2921no—
1490SD16—1462no—
1491SD16—1462no—
1492D8—22no—
1493D8—22no—
1494D8—41no—
1495D8—41no—
1496D8—2921no—
1497D8—2921no—
1498D8—2921no—
1499D8—2921no—
1500D8—1462no—
1501C2×C8—41no—
1502C2×C8—41no—
1503C2×C8—2921no—
1504C2×C8—2921no—
1505C2×C8—2921no—
1506C2×C8—2921no—
1507C2×C8—731no—
1508C2×C8—731no—
1509C2×C8—731no—
1510C2×C8—731no—
1511C2×C8C23×D7311yescharacteristic
1512C2×C8C23×D7311yescharacteristic
1513C2×C8C23×D7311yescharacteristic
1514C2×C8C23×D7311yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—731no—
1518C4⋊C4—731no—
1519C4⋊C4—731no—
1520C4⋊C4—731no—
1521C4⋊C4—731no—
1522C4⋊C4—731no—
1523C4⋊C4—731no—
1524C4⋊C4—731no—
1525C4⋊C4—731no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4—1461no—
1538C4⋊C4—1461no—
1539C4⋊C4—1461no—
1540C4⋊C4—1461no—
1541C4⋊C4—1461no—
1542C4⋊C4—1461no—
1543C4⋊C4—1461no—
1544C4⋊C4—1461no—
1545C4⋊C4D4×D7311yescharacteristic
1546C4⋊C4C23×D7311yescharacteristic
1547C4⋊C4C23×D7311yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—731no—
1559C22⋊C4—731no—
1560C22⋊C4—731no—
1561C22⋊C4—731no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4D4×D7311yescharacteristic
1595C22⋊C4D4×D7311yescharacteristic
1596C42—731no—
1597C42—731no—
1598C42—731no—
1599C42—731no—
1600C42—731no—
1601C42—731no—
1602C42—731no—
1603C42—731no—
1604C42—731no—
1605C42—1461no—
1606C42—1461no—
1607C42—1461no—
1608C42—1461no—
1609C42—1461no—
1610C42—1461no—
1611C42C23×D7311yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—42no—
1617C23—42no—
1618C23—42no—
1619C23—81no—
1620C23—81no—
1621C23—81no—
1622C23—2922no—
1623C23—2922no—
1624C23—2922no—
1625C23—5841no—
1626C23—5841no—
1627C23—5841no—
1628C23—731no—
1629C23—1461no—
1630C23—1461no—
1631C23C2×D4×D7311yescharacteristic
1632C23C2×D4×D7311yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—5841no—
1638Q8—5841no—
1639Q8—5841no—
1640Q8—1462no—
1641Q8—1461no—
1642Q8—1461no—
1643Q8—1461no—
1644Q8—1461no—
1645D4—22no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—42no—
1654D4—42no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—2922no—
1660D4—2922no—
1661D4—2922no—
1662D4—2922no—
1663D4—2922no—
1664D4—2922no—
1665D4—2922no—
1666D4—5841no—
1667D4—5841no—
1668D4—5841no—
1669D4—5841no—
1670D4—5841no—
1671D4—734no—
1672D4—1462no—
1673D4—1461no—
1674D4—1461no—
1675D4—1461no—
1676D4—1461no—
1677D4#1455663612yes—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—42no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—2921no—
1691C2×C4—2922no—
1692C2×C4—2922no—
1693C2×C4—2922no—
1694C2×C4—2922no—
1695C2×C4—2922no—
1696C2×C4—2921no—
1697C2×C4—2921no—
1698C2×C4—5841no—
1699C2×C4—5841no—
1700C2×C4—5841no—
1701C2×C4—5841no—
1702C2×C4—5841no—
1703C2×C4—5841no—
1704C2×C4—5841no—
1705C2×C4—5841no—
1706C2×C4—5841no—
1707C2×C4—731no—
1708C2×C4—731no—
1709C2×C4—731no—
1710C2×C4—731no—
1711C2×C4—731no—
1712C2×C4—731no—
1713C2×C4—731no—
1714C2×C4—1462no—
1715C2×C4—1461no—
1716C2×C4—1461no—
1717C2×C4—1461no—
1718C2×C4—1461no—
1719C2×C4—1461no—
1720C2×C4—1461no—
1721C2×C4—1462no—
1722C2×C4—1462no—
1723C2×C4—1461no—
1724C2×C4—1461no—
1725C2×C4C2×D4×D7311yescharacteristic
1726C2×C4C2×D4×D7311yescharacteristic
1727C2×C4C2×D4×D7311yescharacteristic
1728C2×C4C2×D4×D7311yescharacteristic
1729C2×C4C24×D7311yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1461no—
1735C8—1461no—
1736C8—1461no—
1737C8—1461no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—22no—
1742C22—21no—
1743C22—21no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—84no—
1756C22—162no—
1757C22—2921no—
1758C22—2921no—
1759C22—2921no—
1760C22—2921no—
1761C22—2921no—
1762C22—2921no—
1763C22—5844no—
1764C22—732no—
1765C22—11682no—
1766C22—1461no—
1767C22—1461no—
1768C22#135×D7312yes—
1769C22C22×D4×D7311yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—2921no—
1779C4—2921no—
1780C4—2921no—
1781C4—2921no—
1782C4—2921no—
1783C4—2921no—
1784C4—732no—
1785C4—1461no—
1786C4—1461no—
1787C4—1461no—
1788C4—1461no—
1789C4—1461no—
1790C4—1461no—
1791C4C2×#1455663611yescharacteristic
1792C4#1798942211yescharacteristic
1793C2—22no—
1794C2—41no—
1795C2—42no—
1796C2—81no—
1797C2—81no—
1798C2—81no—
1799C2—5841no—
1800C2—5841no—
1801C2—1462no—
1802C2#2262359111yescharacteristic
1803C2C2×#135×D7311yescharacteristic
1804C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3280C2
socleC22×C73C23×D4
hypercenter#3280D73
hypocenterC73#61955
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3280

Complements

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

NH ≅ G/Ntype
1. #22623889C2semidirect
2. #22623536C2semidirect
3. #22622938C2semidirect
4. #22622924C2semidirect
5. #22622592C2semidirect
6. #22622575C2semidirect
7. #22621835C2semidirect
8. #22621826C2semidirect
9. #22621802C2semidirect
10. #22621781C2semidirect
11. #22621776C2semidirect
12. #22621748C2semidirect
13. #22621634C2semidirect
14. #22621632C2semidirect
15. #22621625C2semidirect
16. #22621614C2semidirect
17. D8×C22⋊D73C2semidirect
18. #22621284C2semidirect
19. #22621280C2semidirect
20. #22621250C2semidirect
21. #22620899C2semidirect
22. #22620891C2semidirect
23. #22620862C2semidirect
24. #22619979C2semidirect
25. #22619976C2semidirect
26. #22619942C2semidirect
27. #22619382C2semidirect
28. C2×#17988800C2semidirect
29. #463×D73C2semidirect
30. #22619038C2semidirect
31. C73×#3280C2semidirect
32. C2×#14556611C22semidirect
33. C22×#11924016C22semidirect
34. C2×SD16×D73C22semidirect
36. #17989320C22semidirect
37. #17989319C22semidirect
38. #17989306C22semidirect
40. #17989296C22semidirect
42. #17989284C22semidirect
43. #17989283C22semidirect
50. #17989246C22semidirect
51. #17989244C22semidirect
52. #17989234C22semidirect
53. #17989225C22semidirect
61. #17989133C22semidirect
62. #17989132C22semidirect
63. #17989123C22semidirect
64. #17989123C22semidirect
65. #17989119C22semidirect
66. #17989118C22semidirect
67. #17989116C22semidirect
69. C2×#14556578C22semidirect
70. #124×D73C22semidirect
74. #41×Dic73C22semidirect
76. C2×D4×Dic73C22semidirect
78. C4×D4×D73C22semidirect
79. #17988969C22semidirect
80. #17988968C22semidirect
81. #17988968C22semidirect
83. #17988958C22semidirect
84. #17988942C22semidirect
85. #17988941C22semidirect
86. #17988940C22semidirect
87. #17988940C22semidirect
88. #17988936C22semidirect
89. #17988932C22semidirect
90. #17988929C22semidirect
91. #17988924C22semidirect
92. #17988920C22semidirect
93. #17988908C22semidirect
94. #17988906C22semidirect
95. #17988904C22semidirect
96. #17988896C22semidirect
97. #17988896C22semidirect
98. #17988895C22semidirect
99. #17988890C22semidirect
100. #17988890C22semidirect
101. #17988889C22semidirect
102. #17988889C22semidirect
103. #17988887C22semidirect
104. #17988881C22semidirect
105. #17988875C22semidirect
106. #17988827C22semidirect
108. #17988821C22semidirect
110. #17988818C22semidirect
111. #17988818C22semidirect
112. #17988816C22semidirect
113. #17988815C22semidirect
114. #17988814C22semidirect
115. #17988813C22semidirect
116. #17988811C22semidirect
117. #17988811C22semidirect
118. #17988807C22semidirect
119. #17988807C22semidirect
120. #17988806C22semidirect
121. #17988805C22semidirect
122. #17988805C22semidirect
123. #17988804C22semidirect
124. #17988804C22semidirect
125. #17988803C22semidirect
126. #17988802C22semidirect
127. #17988801C22semidirect
128. #17988801C22semidirect
131. #17988800C22semidirect
132. #17988800C22semidirect
133. #17988800C22semidirect
134. #17988800C22semidirect
135. #17988800C22semidirect
136. #17988800C22semidirect
137. #17988799C22semidirect
138. #17988795C22semidirect
139. #17988790C22semidirect
140. #17988786C22semidirect
141. #17988785C22semidirect
144. #17988749C22semidirect
145. #17988742C22semidirect
146. #17988741C22semidirect
147. #17988739C22semidirect
148. #17988736C22semidirect
149. #17988734C22semidirect
150. #17988732C22semidirect
151. #17988730C22semidirect
152. #17988728C22semidirect
153. #17988724C22semidirect
158. C8×Dic146C22semidirect
159. #17988711C22semidirect
160. #17988679C22semidirect
161. #17988678C22semidirect
162. C4×#11924017C22semidirect
163. SD16×Dic73C22semidirect
164. SD16×Dic73C22semidirect
165. SD16×Dic73C22semidirect
166. C4×#11924016C22semidirect
168. C4×#11924013C22semidirect
169. #17988667C22semidirect
170. #17988667C22semidirect
171. D4×#10596831C22semidirect
173. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988638C22semidirect
177. #17988637C22semidirect
178. #17988637C22semidirect
179. C2×#14556520C22semidirect
180. C2×#14556520C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988584C22semidirect
183. #17988583C22semidirect
184. C2×#14556516C22semidirect
185. #103×D73C22semidirect
186. C2×#14556512C22semidirect
187. #102×D73C22semidirect
188. C2×#135×C73C22semidirect
190. #546×C73C22semidirect
191. #546×C73C22semidirect
192. #495×C73C22semidirect
193. #467×C73C22semidirect
194. #466×C73C22semidirect
196. #463×C73C22semidirect
197. #450×C73C22semidirect
198. #450×C73C22semidirect
200. #449×C73C22semidirect
201. C4×D8×C73C22semidirect
202. C8×D4×C73C22semidirect
779. C22⋊D73#135semidirect
919. #3280D73semidirect
934. C73#61955semidirect
936. C2×#135C2×D73semidirect
961. #546C2×D73semidirect
962. #546C2×D73semidirect
989. #495C2×D73semidirect
1015. #467C2×D73semidirect
1019. #466C2×D73semidirect
1049. #463C2×D73semidirect
1061. #450C2×D73semidirect
1062. #450C2×D73semidirect
1067. #449C2×D73semidirect
1087. C4×D8C2×D73semidirect
1093. C8×D4C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238892
#226235362
#226229382
#226229242
#226225922
#226225752
#226218352
#226218262
#226218022
#226217812
#226217762
#226217482
#226216342
#226216322
#226216252
#226216142
D8×C22⋊D732
#226212842
#226212802
#226212502
#226208992
#226208912
#226208622
#226199792
#226199762
#226199422
#226193822
C2×#179888002
#463×D732
#226190382
C73×#32802
#6195573